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diff --git a/insightface/__init__.py b/insightface/__init__.py
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+# coding: utf-8
+# pylint: disable=wrong-import-position
+"""InsightFace: A Face Analysis Toolkit."""
+from __future__ import absolute_import
+
+try:
+    #import mxnet as mx
+    import onnxruntime
+except ImportError:
+    raise ImportError(
+        "Unable to import dependency onnxruntime. "
+    )
+
+__version__ = '0.7.3'
+
+from . import model_zoo
+from . import utils
+from . import app
+from . import data
+from . import thirdparty
+
diff --git a/insightface/__pycache__/__init__.cpython-310.pyc b/insightface/__pycache__/__init__.cpython-310.pyc
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--- /dev/null
+++ b/insightface/app/__init__.py
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+from .face_analysis import *
+from .mask_renderer import *
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diff --git a/insightface/app/common.py b/insightface/app/common.py
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index 0000000000000000000000000000000000000000..82ca987aeede35510b3aef72b4edf2390ad84e65
--- /dev/null
+++ b/insightface/app/common.py
@@ -0,0 +1,49 @@
+import numpy as np
+from numpy.linalg import norm as l2norm
+#from easydict import EasyDict
+
+class Face(dict):
+
+    def __init__(self, d=None, **kwargs):
+        if d is None:
+            d = {}
+        if kwargs:
+            d.update(**kwargs)
+        for k, v in d.items():
+            setattr(self, k, v)
+        # Class attributes
+        #for k in self.__class__.__dict__.keys():
+        #    if not (k.startswith('__') and k.endswith('__')) and not k in ('update', 'pop'):
+        #        setattr(self, k, getattr(self, k))
+
+    def __setattr__(self, name, value):
+        if isinstance(value, (list, tuple)):
+            value = [self.__class__(x)
+                    if isinstance(x, dict) else x for x in value]
+        elif isinstance(value, dict) and not isinstance(value, self.__class__):
+            value = self.__class__(value)
+        super(Face, self).__setattr__(name, value)
+        super(Face, self).__setitem__(name, value)
+
+    __setitem__ = __setattr__
+
+    def __getattr__(self, name):
+        return None
+
+    @property
+    def embedding_norm(self):
+        if self.embedding is None:
+            return None
+        return l2norm(self.embedding)
+
+    @property 
+    def normed_embedding(self):
+        if self.embedding is None:
+            return None
+        return self.embedding / self.embedding_norm
+
+    @property 
+    def sex(self):
+        if self.gender is None:
+            return None
+        return 'M' if self.gender==1 else 'F'
diff --git a/insightface/app/face_analysis.py b/insightface/app/face_analysis.py
new file mode 100644
index 0000000000000000000000000000000000000000..a9b63039fef7805c722d98f4c10e19d21074a785
--- /dev/null
+++ b/insightface/app/face_analysis.py
@@ -0,0 +1,142 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-05-04
+# @Function      : 
+
+
+from __future__ import division
+
+import glob
+import os.path as osp
+
+import numpy as np
+import onnxruntime
+from numpy.linalg import norm
+
+from ..model_zoo import model_zoo
+from ..utils import DEFAULT_MP_NAME, ensure_available
+from .common import Face
+
+__all__ = ['FaceAnalysis']
+
+class FaceAnalysis:
+    def __init__(self, name=DEFAULT_MP_NAME, root='./insightface', allowed_modules=None, **kwargs):
+        onnxruntime.set_default_logger_severity(3)
+        self.models = {}
+        self.model_dir = ensure_available('models', name, root=root)
+        onnx_files = glob.glob(osp.join(self.model_dir, '*.onnx'))
+        onnx_files = sorted(onnx_files)
+        for onnx_file in onnx_files:
+            model = model_zoo.get_model(onnx_file, **kwargs)
+            if model is None:
+                print('model not recognized:', onnx_file)
+            elif allowed_modules is not None and model.taskname not in allowed_modules:
+                print('model ignore:', onnx_file, model.taskname)
+                del model
+            elif model.taskname not in self.models and (allowed_modules is None or model.taskname in allowed_modules):
+                print('find model:', onnx_file, model.taskname, model.input_shape, model.input_mean, model.input_std)
+                self.models[model.taskname] = model
+            else:
+                print('duplicated model task type, ignore:', onnx_file, model.taskname)
+                del model
+        assert 'detection' in self.models
+        self.det_model = self.models['detection']
+
+
+    def prepare(self, ctx_id, det_thresh=0.5, det_size=(640, 640)):
+        self.det_thresh = det_thresh
+        assert det_size is not None
+        print('set det-size:', det_size)
+        self.det_size = det_size
+        for taskname, model in self.models.items():
+            if taskname=='detection':
+                model.prepare(ctx_id, input_size=det_size, det_thresh=det_thresh)
+            else:
+                model.prepare(ctx_id)
+    
+    def get_points(self, bboxes, kpss, img, max_num=0):
+        if kpss is None or not isinstance(bboxes, np.ndarray):
+            bboxes, kpss = self.det_model.detect(img,
+                                                 max_num=max_num,
+                                                 metric='default')
+        # print("bboxes points la: ", bboxes)
+        # print("bbox type la: ", type(bboxes))
+        # print("kpss la: ", kpss)
+        # print("kpss type la: ", type(kpss))
+        # bboxes, kpss = None
+        if bboxes.shape[0] == 0:
+            return []
+        ret = []
+        for i in range(bboxes.shape[0]):
+            bbox = bboxes[i, 0:4]
+            det_score = None
+            kps = None
+            if kpss is not None:
+                kps = kpss[i]
+            face = Face(bbox=bbox, kps=kps, det_score=det_score)
+            for taskname, model in self.models.items():
+                if taskname=='detection':
+                    continue
+                model.get(img, face)
+            ret.append(face)
+        return ret
+    
+    
+    def get(self, bboxes, kpss, img, max_num=0):
+        bboxes, kpss = self.det_model.detect(img,
+                                             max_num=max_num,
+                                             metric='default')
+        # print("bboxes points la: ", bboxes)
+        # print("bbox type la: ", type(bboxes))
+        # print("kpss la: ", kpss)
+        # print("kpss type la: ", type(kpss))
+        if bboxes.shape[0] == 0:
+            return []
+        ret = []
+        for i in range(bboxes.shape[0]):
+            bbox = bboxes[i, 0:4]
+            det_score = None
+            kps = None
+            if kpss is not None:
+                kps = kpss[i]
+            face = Face(bbox=bbox, kps=kps, det_score=det_score)
+            for taskname, model in self.models.items():
+                if taskname=='detection':
+                    continue
+                model.get(img, face)
+            ret.append(face)
+        return ret
+
+    def draw_on(self, img, faces):
+        import cv2
+        dimg = img.copy()
+        for i in range(len(faces)):
+            face = faces[i]
+            box = face.bbox.astype(np.int32)
+            # print("box face draw face:", box)
+            color = (0, 0, 255)
+            cv2.rectangle(dimg, (box[0], box[1]), (box[2], box[3]), color, 2)
+            if face.kps is not None:
+                kps = face.kps.astype(np.int32)
+                #print(landmark.shape)
+                for l in range(kps.shape[0]):
+                    color = (0, 0, 255)
+                    if l == 0 or l == 3:
+                        color = (0, 255, 0)
+                    cv2.circle(dimg, (kps[l][0], kps[l][1]), 1, color,
+                               2)
+            if face.gender is not None and face.age is not None:
+                cv2.putText(dimg,'%s,%d'%(face.sex,face.age), (box[0]-1, box[1]-4),cv2.FONT_HERSHEY_COMPLEX,0.7,(0,255,0),1)
+
+            # for key, value in face.items():
+            #    if key.startswith('landmark_3d'):
+            #        print(key, value.shape)
+            #        print(value[0:10,:])
+            #        lmk = np.round(value).astype(np.int)
+            #        for l in range(lmk.shape[0]):
+            #            color = (255, 0, 0)
+            #            cv2.circle(dimg, (lmk[l][0], lmk[l][1]), 1, color,
+            #                       2)
+        return dimg
+
diff --git a/insightface/app/mask_renderer.py b/insightface/app/mask_renderer.py
new file mode 100644
index 0000000000000000000000000000000000000000..2815f5018ca92cdcc541e47309d9466cd5f669dc
--- /dev/null
+++ b/insightface/app/mask_renderer.py
@@ -0,0 +1,232 @@
+import os, sys, datetime
+import numpy as np
+import os.path as osp
+import albumentations as A
+from albumentations.core.transforms_interface import ImageOnlyTransform
+from .face_analysis import FaceAnalysis
+from ..utils import get_model_dir
+from ..thirdparty import face3d
+from ..data import get_image as ins_get_image
+from ..utils import DEFAULT_MP_NAME
+import cv2
+
+class MaskRenderer:
+    def __init__(self, name=DEFAULT_MP_NAME, root='~/.insightface', insfa=None):
+        #if insfa is None, enter render_only mode
+        self.mp_name = name
+        self.root = root
+        self.insfa = insfa
+        model_dir = get_model_dir(name, root)
+        bfm_file = osp.join(model_dir, 'BFM.mat')
+        assert osp.exists(bfm_file), 'should contains BFM.mat in your model directory'
+        self.bfm = face3d.morphable_model.MorphabelModel(bfm_file)
+        self.index_ind = self.bfm.kpt_ind
+        bfm_uv_file = osp.join(model_dir, 'BFM_UV.mat')
+        assert osp.exists(bfm_uv_file), 'should contains BFM_UV.mat in your model directory'
+        uv_coords = face3d.morphable_model.load.load_uv_coords(bfm_uv_file)
+        self.uv_size = (224,224)
+        self.mask_stxr =  0.1
+        self.mask_styr = 0.33
+        self.mask_etxr = 0.9
+        self.mask_etyr =  0.7
+        self.tex_h , self.tex_w, self.tex_c = self.uv_size[1] , self.uv_size[0],3
+        texcoord = np.zeros_like(uv_coords)
+        texcoord[:, 0] = uv_coords[:, 0] * (self.tex_h - 1)
+        texcoord[:, 1] = uv_coords[:, 1] * (self.tex_w - 1)
+        texcoord[:, 1] = self.tex_w - texcoord[:, 1] - 1
+        self.texcoord = np.hstack((texcoord, np.zeros((texcoord.shape[0], 1))))
+        self.X_ind = self.bfm.kpt_ind
+        self.mask_image_names = ['mask_white', 'mask_blue', 'mask_black', 'mask_green']
+        self.mask_aug_probs = [0.4, 0.4, 0.1, 0.1]
+        #self.mask_images = []
+        #self.mask_images_rgb = []
+        #for image_name in mask_image_names:
+        #    mask_image = ins_get_image(image_name)
+        #    self.mask_images.append(mask_image)
+        #    mask_image_rgb = mask_image[:,:,::-1]
+        #    self.mask_images_rgb.append(mask_image_rgb)
+
+
+    def prepare(self, ctx_id=0, det_thresh=0.5, det_size=(128, 128)):
+        self.pre_ctx_id = ctx_id
+        self.pre_det_thresh = det_thresh
+        self.pre_det_size = det_size
+
+    def transform(self, shape3D, R):
+        s = 1.0
+        shape3D[:2, :] = shape3D[:2, :]
+        shape3D = s * np.dot(R, shape3D)
+        return shape3D
+
+    def preprocess(self, vertices, w, h):
+        R1 = face3d.mesh.transform.angle2matrix([0, 180, 180])
+        t = np.array([-w // 2, -h // 2, 0])
+        vertices = vertices.T
+        vertices += t
+        vertices = self.transform(vertices.T, R1).T
+        return vertices
+
+    def project_to_2d(self,vertices,s,angles,t):
+        transformed_vertices = self.bfm.transform(vertices, s, angles, t)
+        projected_vertices = transformed_vertices.copy() # using stantard camera & orth projection
+        return projected_vertices[self.bfm.kpt_ind, :2]
+
+    def params_to_vertices(self,params  , H , W):
+        fitted_sp, fitted_ep, fitted_s, fitted_angles, fitted_t  = params
+        fitted_vertices = self.bfm.generate_vertices(fitted_sp, fitted_ep)
+        transformed_vertices = self.bfm.transform(fitted_vertices, fitted_s, fitted_angles,
+                                                  fitted_t)
+        transformed_vertices = self.preprocess(transformed_vertices.T, W, H)
+        image_vertices = face3d.mesh.transform.to_image(transformed_vertices, H, W)
+        return image_vertices
+
+    def draw_lmk(self, face_image):
+        faces = self.insfa.get(face_image, max_num=1)
+        if len(faces)==0:
+            return face_image
+        return self.insfa.draw_on(face_image, faces)
+
+    def build_params(self, face_image):
+        #landmark = self.if3d68_handler.get(face_image)
+        #if landmark is None:
+        #    return None #face not found
+        if self.insfa is None:
+            self.insfa = FaceAnalysis(name=self.mp_name, root=self.root, allowed_modules=['detection', 'landmark_3d_68'])
+            self.insfa.prepare(ctx_id=self.pre_ctx_id,  det_thresh=self.pre_det_thresh, det_size=self.pre_det_size)
+
+        faces = self.insfa.get(face_image, max_num=1)
+        if len(faces)==0:
+            return None
+        landmark = faces[0].landmark_3d_68[:,:2]
+        fitted_sp, fitted_ep, fitted_s, fitted_angles, fitted_t = self.bfm.fit(landmark, self.X_ind, max_iter = 3)
+        return [fitted_sp, fitted_ep, fitted_s, fitted_angles, fitted_t]
+
+    def generate_mask_uv(self,mask, positions):
+        uv_size = (self.uv_size[1], self.uv_size[0], 3)
+        h, w, c = uv_size
+        uv = np.zeros(shape=(self.uv_size[1],self.uv_size[0], 3), dtype=np.uint8)
+        stxr, styr  = positions[0], positions[1]
+        etxr, etyr = positions[2], positions[3]
+        stx, sty = int(w * stxr), int(h * styr)
+        etx, ety = int(w * etxr), int(h * etyr)
+        height = ety - sty
+        width = etx - stx
+        mask = cv2.resize(mask, (width, height))
+        uv[sty:ety, stx:etx] = mask
+        return uv
+
+    def render_mask(self,face_image, mask_image, params, input_is_rgb=False, auto_blend = True, positions=[0.1, 0.33, 0.9, 0.7]):
+        if isinstance(mask_image, str):
+            to_rgb = True if input_is_rgb else False
+            mask_image = ins_get_image(mask_image, to_rgb=to_rgb)
+        uv_mask_image = self.generate_mask_uv(mask_image, positions)
+        h,w,c = face_image.shape
+        image_vertices = self.params_to_vertices(params ,h,w)
+        output = (1-face3d.mesh.render.render_texture(image_vertices, self.bfm.full_triangles , uv_mask_image, self.texcoord, self.bfm.full_triangles, h , w ))*255
+        output = output.astype(np.uint8)
+        if auto_blend:
+            mask_bd = (output==255).astype(np.uint8)
+            final = face_image*mask_bd + (1-mask_bd)*output
+            return final
+        return output
+
+    #def mask_augmentation(self, face_image, label, input_is_rgb=False, p=0.1):
+    #    if np.random.random()<p:
+    #        assert isinstance(label, (list, np.ndarray)), 'make sure the rec dataset includes mask params'
+    #        assert len(label)==237 or len(lable)==235, 'make sure the rec dataset includes mask params'
+    #        if len(label)==237:
+    #            if label[1]<0.0: #invalid label for mask aug
+    #                return face_image
+    #            label = label[2:]
+    #        params = self.decode_params(label)
+    #        mask_image_name = np.random.choice(self.mask_image_names, p=self.mask_aug_probs)
+    #        pos = np.random.uniform(0.33, 0.5)
+    #        face_image = self.render_mask(face_image, mask_image_name, params, input_is_rgb=input_is_rgb, positions=[0.1, pos, 0.9, 0.7])
+    #    return face_image
+
+    @staticmethod
+    def encode_params(params):
+        p0 = list(params[0])
+        p1 = list(params[1])
+        p2 = [float(params[2])]
+        p3 = list(params[3])
+        p4 = list(params[4])
+        return p0+p1+p2+p3+p4
+
+    @staticmethod
+    def decode_params(params):
+        p0 = params[0:199]
+        p0 = np.array(p0, dtype=np.float32).reshape( (-1, 1))
+        p1 = params[199:228]
+        p1 = np.array(p1, dtype=np.float32).reshape( (-1, 1))
+        p2 = params[228]
+        p3 = tuple(params[229:232])
+        p4 = params[232:235]
+        p4 = np.array(p4, dtype=np.float32).reshape( (-1, 1))
+        return p0, p1, p2, p3, p4
+    
+class MaskAugmentation(ImageOnlyTransform):
+
+    def __init__(
+            self,
+            mask_names=['mask_white', 'mask_blue', 'mask_black', 'mask_green'],
+            mask_probs=[0.4,0.4,0.1,0.1],
+            h_low = 0.33,
+            h_high = 0.35,
+            always_apply=False,
+            p=1.0,
+            ):
+        super(MaskAugmentation, self).__init__(always_apply, p)
+        self.renderer = MaskRenderer()
+        assert len(mask_names)>0
+        assert len(mask_names)==len(mask_probs)
+        self.mask_names = mask_names
+        self.mask_probs = mask_probs
+        self.h_low = h_low
+        self.h_high = h_high
+        #self.hlabel = None
+
+
+    def apply(self, image, hlabel, mask_name, h_pos, **params):
+        #print(params.keys())
+        #hlabel = params.get('hlabel')
+        assert len(hlabel)==237 or len(hlabel)==235, 'make sure the rec dataset includes mask params'
+        if len(hlabel)==237:
+            if hlabel[1]<0.0:
+                return image
+            hlabel = hlabel[2:]
+        #print(len(hlabel))
+        mask_params = self.renderer.decode_params(hlabel)
+        image = self.renderer.render_mask(image, mask_name, mask_params, input_is_rgb=True, positions=[0.1, h_pos, 0.9, 0.7])
+        return image
+
+    @property
+    def targets_as_params(self):
+        return ["image", "hlabel"]
+
+    def get_params_dependent_on_targets(self, params):
+        hlabel = params['hlabel']
+        mask_name = np.random.choice(self.mask_names, p=self.mask_probs)
+        h_pos = np.random.uniform(self.h_low, self.h_high)
+        return {'hlabel': hlabel, 'mask_name': mask_name, 'h_pos': h_pos}
+
+    def get_transform_init_args_names(self):
+        #return ("hlabel", 'mask_names', 'mask_probs', 'h_low', 'h_high')
+        return ('mask_names', 'mask_probs', 'h_low', 'h_high')
+
+
+if __name__ == "__main__":
+    tool = MaskRenderer('antelope')
+    tool.prepare(det_size=(128,128))
+    image = cv2.imread("Tom_Hanks_54745.png")
+    params = tool.build_params(image)
+    #out = tool.draw_lmk(image)
+    #cv2.imwrite('output_lmk.jpg', out)
+    #mask_image  = cv2.imread("masks/mask1.jpg")
+    #mask_image  = cv2.imread("masks/black-mask.png")
+    #mask_image  = cv2.imread("masks/mask2.jpg")
+    mask_out = tool.render_mask(image, 'mask_blue', params)# use single thread to test the time cost
+
+    cv2.imwrite('output_mask.jpg', mask_out)
+
+
diff --git a/insightface/commands/__init__.py b/insightface/commands/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..7fedaa0dbb14464243e1ebef1b8134c7fe524cd8
--- /dev/null
+++ b/insightface/commands/__init__.py
@@ -0,0 +1,13 @@
+from abc import ABC, abstractmethod
+from argparse import ArgumentParser
+
+
+class BaseInsightFaceCLICommand(ABC):
+    @staticmethod
+    @abstractmethod
+    def register_subcommand(parser: ArgumentParser):
+        raise NotImplementedError()
+
+    @abstractmethod
+    def run(self):
+        raise NotImplementedError()
diff --git a/insightface/commands/__pycache__/__init__.cpython-39.pyc b/insightface/commands/__pycache__/__init__.cpython-39.pyc
new file mode 100644
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diff --git a/insightface/commands/__pycache__/model_download.cpython-39.pyc b/insightface/commands/__pycache__/model_download.cpython-39.pyc
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index 0000000000000000000000000000000000000000..1d14862e519190d3b1c89f7e074d464e131ca2b7
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diff --git a/insightface/commands/__pycache__/rec_add_mask_param.cpython-39.pyc b/insightface/commands/__pycache__/rec_add_mask_param.cpython-39.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..38813c0d4c47d83a8de752bd08778f9262f48260
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diff --git a/insightface/commands/insightface_cli.py b/insightface/commands/insightface_cli.py
new file mode 100644
index 0000000000000000000000000000000000000000..b8adbefcf0371c35689b2978c69510c1d3306846
--- /dev/null
+++ b/insightface/commands/insightface_cli.py
@@ -0,0 +1,29 @@
+#!/usr/bin/env python
+
+from argparse import ArgumentParser
+
+from .model_download import ModelDownloadCommand
+from .rec_add_mask_param import RecAddMaskParamCommand
+
+def main():
+    parser = ArgumentParser("InsightFace CLI tool", usage="insightface-cli <command> [<args>]")
+    commands_parser = parser.add_subparsers(help="insightface-cli command-line helpers")
+
+    # Register commands
+    ModelDownloadCommand.register_subcommand(commands_parser)
+    RecAddMaskParamCommand.register_subcommand(commands_parser)
+
+    args = parser.parse_args()
+
+    if not hasattr(args, "func"):
+        parser.print_help()
+        exit(1)
+
+    # Run
+    service = args.func(args)
+    service.run()
+
+
+if __name__ == "__main__":
+    main()
+
diff --git a/insightface/commands/model_download.py b/insightface/commands/model_download.py
new file mode 100644
index 0000000000000000000000000000000000000000..c5a14a33d7767b5fdc0a780f326e2e39ca619823
--- /dev/null
+++ b/insightface/commands/model_download.py
@@ -0,0 +1,36 @@
+from argparse import ArgumentParser
+
+from . import BaseInsightFaceCLICommand
+import os
+import os.path as osp
+import zipfile
+import glob
+from ..utils import download
+
+
+def model_download_command_factory(args):
+    return ModelDownloadCommand(args.model, args.root, args.force)
+
+
+class ModelDownloadCommand(BaseInsightFaceCLICommand):
+    #_url_format = '{repo_url}models/{file_name}.zip'
+    @staticmethod
+    def register_subcommand(parser: ArgumentParser):
+        download_parser = parser.add_parser("model.download")
+        download_parser.add_argument(
+            "--root", type=str, default='~/.insightface', help="Path to location to store the models"
+        )
+        download_parser.add_argument(
+            "--force", action="store_true", help="Force the model to be download even if already in root-dir"
+        )
+        download_parser.add_argument("model", type=str, help="Name of the model to download")
+        download_parser.set_defaults(func=model_download_command_factory)
+
+    def __init__(self, model: str, root: str, force: bool):
+        self._model = model
+        self._root = root
+        self._force = force
+
+    def run(self):
+        download('models', self._model, force=self._force, root=self._root)
+
diff --git a/insightface/commands/rec_add_mask_param.py b/insightface/commands/rec_add_mask_param.py
new file mode 100644
index 0000000000000000000000000000000000000000..b00ee0b9a31c6426ea0804ec00fc68981d88a324
--- /dev/null
+++ b/insightface/commands/rec_add_mask_param.py
@@ -0,0 +1,94 @@
+
+import numbers
+import os
+from argparse import ArgumentParser, Namespace
+
+import mxnet as mx
+import numpy as np
+
+from ..app import MaskRenderer
+from ..data.rec_builder import RecBuilder
+from . import BaseInsightFaceCLICommand
+
+
+def rec_add_mask_param_command_factory(args: Namespace):
+
+    return RecAddMaskParamCommand(
+        args.input, args.output
+    )
+
+
+class RecAddMaskParamCommand(BaseInsightFaceCLICommand):
+    @staticmethod
+    def register_subcommand(parser: ArgumentParser):
+        _parser = parser.add_parser("rec.addmaskparam")
+        _parser.add_argument("input", type=str, help="input rec")
+        _parser.add_argument("output", type=str, help="output rec, with mask param")
+        _parser.set_defaults(func=rec_add_mask_param_command_factory)
+
+    def __init__(
+        self,
+        input: str,
+        output: str,
+    ):
+        self._input = input
+        self._output = output
+
+
+    def run(self):
+        tool = MaskRenderer()
+        tool.prepare(ctx_id=0, det_size=(128,128))
+        root_dir = self._input
+        path_imgrec = os.path.join(root_dir, 'train.rec')
+        path_imgidx = os.path.join(root_dir, 'train.idx')
+        imgrec = mx.recordio.MXIndexedRecordIO(path_imgidx, path_imgrec, 'r')
+        save_path = self._output
+        wrec=RecBuilder(path=save_path)
+        s = imgrec.read_idx(0)
+        header, _ = mx.recordio.unpack(s)
+        if header.flag > 0:
+            if len(header.label)==2:
+                imgidx = np.array(range(1, int(header.label[0])))
+            else:
+                imgidx = np.array(list(self.imgrec.keys))
+        else:
+            imgidx = np.array(list(self.imgrec.keys))
+        stat = [0, 0]
+        print('total:', len(imgidx))
+        for iid, idx in enumerate(imgidx):
+            #if iid==500000:
+            #    break
+            if iid%1000==0:
+                print('processing:', iid)
+            s = imgrec.read_idx(idx)
+            header, img = mx.recordio.unpack(s)
+            label = header.label
+            if not isinstance(label, numbers.Number):
+                label = label[0]
+            sample = mx.image.imdecode(img).asnumpy()
+            bgr = sample[:,:,::-1]
+            params = tool.build_params(bgr)
+            #if iid<10:
+            #    mask_out = tool.render_mask(bgr, 'mask_blue', params)
+            #    cv2.imwrite('maskout_%d.jpg'%iid, mask_out)
+            stat[1] += 1
+            if params is None:
+                wlabel = [label] + [-1.0]*236
+                stat[0] += 1
+            else:
+                #print(0, params[0].shape, params[0].dtype)
+                #print(1, params[1].shape, params[1].dtype)
+                #print(2, params[2])
+                #print(3, len(params[3]), params[3][0].__class__)
+                #print(4, params[4].shape, params[4].dtype)
+                mask_label = tool.encode_params(params)
+                wlabel = [label, 0.0]+mask_label # 237 including idlabel, total mask params size is 235
+                if iid==0:
+                    print('param size:', len(mask_label), len(wlabel), label)
+            assert len(wlabel)==237
+            wrec.add_image(img, wlabel)
+            #print(len(params))
+
+        wrec.close()
+        print('finished on', self._output, ', failed:', stat[0])
+
diff --git a/insightface/data/__init__.py b/insightface/data/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..665c59ec99b6ebf12822015e0350969c7903e243
--- /dev/null
+++ b/insightface/data/__init__.py
@@ -0,0 +1,2 @@
+from .image import get_image
+from .pickle_object import get_object
diff --git a/insightface/data/__pycache__/__init__.cpython-310.pyc b/insightface/data/__pycache__/__init__.cpython-310.pyc
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diff --git a/insightface/data/__pycache__/rec_builder.cpython-39.pyc b/insightface/data/__pycache__/rec_builder.cpython-39.pyc
new file mode 100644
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diff --git a/insightface/data/image.py b/insightface/data/image.py
new file mode 100644
index 0000000000000000000000000000000000000000..6d32c4bcb1b13d33bcb0d840cf7b8c08d183b3ea
--- /dev/null
+++ b/insightface/data/image.py
@@ -0,0 +1,27 @@
+import cv2
+import os
+import os.path as osp
+from pathlib import Path
+
+class ImageCache:
+    data = {}
+
+def get_image(name, to_rgb=False):
+    key = (name, to_rgb)
+    if key in ImageCache.data:
+        return ImageCache.data[key]
+    images_dir = osp.join(Path(__file__).parent.absolute(), 'images')
+    ext_names = ['.jpg', '.png', '.jpeg']
+    image_file = None
+    for ext_name in ext_names:
+        _image_file = osp.join(images_dir, "%s%s"%(name, ext_name))
+        if osp.exists(_image_file):
+            image_file = _image_file
+            break
+    assert image_file is not None, '%s not found'%name
+    img = cv2.imread(image_file)
+    if to_rgb:
+        img = img[:,:,::-1]
+    ImageCache.data[key] = img
+    return img
+
diff --git a/insightface/data/images/Tom_Hanks_54745.png b/insightface/data/images/Tom_Hanks_54745.png
new file mode 100644
index 0000000000000000000000000000000000000000..83387c3572e335441b617d0ba1f6a7f897b87f37
--- /dev/null
+++ b/insightface/data/images/Tom_Hanks_54745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8545da294e8c7c79911169c3915fed8528f1960cd0ed99b92453788ca4275083
+size 12123
diff --git a/insightface/data/images/mask_black.jpg b/insightface/data/images/mask_black.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..68233a29abd20c692a151143e22abcd62461ce2b
--- /dev/null
+++ b/insightface/data/images/mask_black.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d81c40c77a0e38717dc7e1d4ca994e2bc58efa804465ff8d09d915daeddf2c83
+size 21308
diff --git a/insightface/data/images/mask_blue.jpg b/insightface/data/images/mask_blue.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..37a029125e7a6257d59cf2201be4b3409564d33e
--- /dev/null
+++ b/insightface/data/images/mask_blue.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a55ec2b181de4143af27c441852ebb4bbd364fb0e0b9c46bb17631c59bc4c840
+size 44728
diff --git a/insightface/data/images/mask_green.jpg b/insightface/data/images/mask_green.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..8ed0111375d6c189f2a071ec6fcbcbdb8607b4fb
--- /dev/null
+++ b/insightface/data/images/mask_green.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79526b5a31ef75cb7fe51227abc69d589e4b7ba39dbbf51e79147da577a3f154
+size 6116
diff --git a/insightface/data/images/mask_white.jpg b/insightface/data/images/mask_white.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..e6c92ec3c5dfadc36e8de5bc1c91572d602f2ce3
--- /dev/null
+++ b/insightface/data/images/mask_white.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3adee6ba6680d26197bbea95deb9d335252d01c2c51ead23e01af9784c310aa6
+size 78905
diff --git a/insightface/data/images/t1.jpg b/insightface/data/images/t1.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..8fd6427a177bd01650c0150e9d02457c3a5dcddd
--- /dev/null
+++ b/insightface/data/images/t1.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47f682e945b659f93a9e490b9c9c4a2a864abe64dace9e1a2893845ddfd69489
+size 128824
diff --git a/insightface/data/objects/meanshape_68.pkl b/insightface/data/objects/meanshape_68.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..d5297e9e8ea5574298ddd287b058252e03aa18c1
--- /dev/null
+++ b/insightface/data/objects/meanshape_68.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39ffecf84ba73f0d0d7e49380833ba88713c9fcdec51df4f7ac45a48b8f4cc51
+size 974
diff --git a/insightface/data/pickle_object.py b/insightface/data/pickle_object.py
new file mode 100644
index 0000000000000000000000000000000000000000..fbd87030ea15e1d01af1cd4cff1be2bc54cc82dd
--- /dev/null
+++ b/insightface/data/pickle_object.py
@@ -0,0 +1,17 @@
+import cv2
+import os
+import os.path as osp
+from pathlib import Path
+import pickle
+
+def get_object(name):
+    objects_dir = osp.join(Path(__file__).parent.absolute(), 'objects')
+    if not name.endswith('.pkl'):
+        name = name+".pkl"
+    filepath = osp.join(objects_dir, name)
+    if not osp.exists(filepath):
+        return None
+    with open(filepath, 'rb') as f:
+        obj = pickle.load(f)
+    return obj
+
diff --git a/insightface/data/rec_builder.py b/insightface/data/rec_builder.py
new file mode 100644
index 0000000000000000000000000000000000000000..ba7c3dbbce66fc0e9779f336776fb7cad12718b3
--- /dev/null
+++ b/insightface/data/rec_builder.py
@@ -0,0 +1,71 @@
+import pickle
+import numpy as np
+import os
+import os.path as osp
+import sys
+import mxnet as mx
+
+
+class RecBuilder():
+    def __init__(self, path, image_size=(112, 112)):
+        self.path = path
+        self.image_size = image_size
+        self.widx = 0
+        self.wlabel = 0
+        self.max_label = -1
+        assert not osp.exists(path), '%s exists' % path
+        os.makedirs(path)
+        self.writer = mx.recordio.MXIndexedRecordIO(os.path.join(path, 'train.idx'), 
+                                                    os.path.join(path, 'train.rec'),
+                                                    'w')
+        self.meta = []
+
+    def add(self, imgs):
+        #!!! img should be BGR!!!!
+        #assert label >= 0
+        #assert label > self.last_label
+        assert len(imgs) > 0
+        label = self.wlabel
+        for img in imgs:
+            idx = self.widx
+            image_meta = {'image_index': idx, 'image_classes': [label]}
+            header = mx.recordio.IRHeader(0, label, idx, 0)
+            if isinstance(img, np.ndarray):
+                s = mx.recordio.pack_img(header,img,quality=0,img_fmt='.jpg')
+            else:
+                s = mx.recordio.pack(header, img)
+            self.writer.write_idx(idx, s)
+            self.meta.append(image_meta)
+            self.widx += 1
+        self.max_label = label
+        self.wlabel += 1
+
+
+    def add_image(self, img, label):
+        #!!! img should be BGR!!!!
+        #assert label >= 0
+        #assert label > self.last_label
+        idx = self.widx
+        header = mx.recordio.IRHeader(0, label, idx, 0)
+        if isinstance(label, list):
+            idlabel = label[0]
+        else:
+            idlabel = label
+        image_meta = {'image_index': idx, 'image_classes': [idlabel]}
+        if isinstance(img, np.ndarray):
+            s = mx.recordio.pack_img(header,img,quality=0,img_fmt='.jpg')
+        else:
+            s = mx.recordio.pack(header, img)
+        self.writer.write_idx(idx, s)
+        self.meta.append(image_meta)
+        self.widx += 1
+        self.max_label = max(self.max_label, idlabel)
+
+    def close(self):
+        with open(osp.join(self.path, 'train.meta'), 'wb') as pfile:
+            pickle.dump(self.meta, pfile, protocol=pickle.HIGHEST_PROTOCOL)
+        print('stat:', self.widx, self.wlabel)
+        with open(os.path.join(self.path, 'property'), 'w') as f:
+            f.write("%d,%d,%d\n" % (self.max_label+1, self.image_size[0], self.image_size[1]))
+            f.write("%d\n" % (self.widx))
+
diff --git a/insightface/model_zoo/__init__.py b/insightface/model_zoo/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..225623d6142c968b4040f391039bfab88bdd1b2a
--- /dev/null
+++ b/insightface/model_zoo/__init__.py
@@ -0,0 +1,6 @@
+from .model_zoo import get_model
+from .arcface_onnx import ArcFaceONNX
+from .retinaface import RetinaFace
+from .scrfd import SCRFD
+from .landmark import Landmark
+from .attribute import Attribute
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diff --git a/insightface/model_zoo/arcface_onnx.py b/insightface/model_zoo/arcface_onnx.py
new file mode 100644
index 0000000000000000000000000000000000000000..b537ce2ee15d4a1834d54e185f34e336aab30a77
--- /dev/null
+++ b/insightface/model_zoo/arcface_onnx.py
@@ -0,0 +1,92 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-05-04
+# @Function      : 
+
+from __future__ import division
+import numpy as np
+import cv2
+import onnx
+import onnxruntime
+from ..utils import face_align
+
+__all__ = [
+    'ArcFaceONNX',
+]
+
+
+class ArcFaceONNX:
+    def __init__(self, model_file=None, session=None):
+        assert model_file is not None
+        self.model_file = model_file
+        self.session = session
+        self.taskname = 'recognition'
+        find_sub = False
+        find_mul = False
+        model = onnx.load(self.model_file)
+        graph = model.graph
+        for nid, node in enumerate(graph.node[:8]):
+            #print(nid, node.name)
+            if node.name.startswith('Sub') or node.name.startswith('_minus'):
+                find_sub = True
+            if node.name.startswith('Mul') or node.name.startswith('_mul'):
+                find_mul = True
+        if find_sub and find_mul:
+            #mxnet arcface model
+            input_mean = 0.0
+            input_std = 1.0
+        else:
+            input_mean = 127.5
+            input_std = 127.5
+        self.input_mean = input_mean
+        self.input_std = input_std
+        #print('input mean and std:', self.input_mean, self.input_std)
+        if self.session is None:
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        input_cfg = self.session.get_inputs()[0]
+        input_shape = input_cfg.shape
+        input_name = input_cfg.name
+        self.input_size = tuple(input_shape[2:4][::-1])
+        self.input_shape = input_shape
+        outputs = self.session.get_outputs()
+        output_names = []
+        for out in outputs:
+            output_names.append(out.name)
+        self.input_name = input_name
+        self.output_names = output_names
+        assert len(self.output_names)==1
+        self.output_shape = outputs[0].shape
+
+    def prepare(self, ctx_id, **kwargs):
+        if ctx_id<0:
+            self.session.set_providers(['CPUExecutionProvider'])
+
+    def get(self, img, face):
+        aimg = face_align.norm_crop(img, landmark=face.kps, image_size=self.input_size[0])
+        face.embedding = self.get_feat(aimg).flatten()
+        return face.embedding
+
+    def compute_sim(self, feat1, feat2):
+        from numpy.linalg import norm
+        feat1 = feat1.ravel()
+        feat2 = feat2.ravel()
+        sim = np.dot(feat1, feat2) / (norm(feat1) * norm(feat2))
+        return sim
+
+    def get_feat(self, imgs):
+        if not isinstance(imgs, list):
+            imgs = [imgs]
+        input_size = self.input_size
+        
+        blob = cv2.dnn.blobFromImages(imgs, 1.0 / self.input_std, input_size,
+                                      (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        net_out = self.session.run(self.output_names, {self.input_name: blob})[0]
+        return net_out
+
+    def forward(self, batch_data):
+        blob = (batch_data - self.input_mean) / self.input_std
+        net_out = self.session.run(self.output_names, {self.input_name: blob})[0]
+        return net_out
+
+
diff --git a/insightface/model_zoo/attribute.py b/insightface/model_zoo/attribute.py
new file mode 100644
index 0000000000000000000000000000000000000000..40c34de3f0995499448cf5779004cc1e5f3564fb
--- /dev/null
+++ b/insightface/model_zoo/attribute.py
@@ -0,0 +1,94 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-06-19
+# @Function      : 
+
+from __future__ import division
+import numpy as np
+import cv2
+import onnx
+import onnxruntime
+from ..utils import face_align
+
+__all__ = [
+    'Attribute',
+]
+
+
+class Attribute:
+    def __init__(self, model_file=None, session=None):
+        assert model_file is not None
+        self.model_file = model_file
+        self.session = session
+        find_sub = False
+        find_mul = False
+        model = onnx.load(self.model_file)
+        graph = model.graph
+        for nid, node in enumerate(graph.node[:8]):
+            #print(nid, node.name)
+            if node.name.startswith('Sub') or node.name.startswith('_minus'):
+                find_sub = True
+            if node.name.startswith('Mul') or node.name.startswith('_mul'):
+                find_mul = True
+            if nid<3 and node.name=='bn_data':
+                find_sub = True
+                find_mul = True
+        if find_sub and find_mul:
+            #mxnet arcface model
+            input_mean = 0.0
+            input_std = 1.0
+        else:
+            input_mean = 127.5
+            input_std = 128.0
+        self.input_mean = input_mean
+        self.input_std = input_std
+        #print('input mean and std:', model_file, self.input_mean, self.input_std)
+        if self.session is None:
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        input_cfg = self.session.get_inputs()[0]
+        input_shape = input_cfg.shape
+        input_name = input_cfg.name
+        self.input_size = tuple(input_shape[2:4][::-1])
+        self.input_shape = input_shape
+        outputs = self.session.get_outputs()
+        output_names = []
+        for out in outputs:
+            output_names.append(out.name)
+        self.input_name = input_name
+        self.output_names = output_names
+        assert len(self.output_names)==1
+        output_shape = outputs[0].shape
+        #print('init output_shape:', output_shape)
+        if output_shape[1]==3:
+            self.taskname = 'genderage'
+        else:
+            self.taskname = 'attribute_%d'%output_shape[1]
+
+    def prepare(self, ctx_id, **kwargs):
+        if ctx_id<0:
+            self.session.set_providers(['CPUExecutionProvider'])
+
+    def get(self, img, face):
+        bbox = face.bbox
+        w, h = (bbox[2] - bbox[0]), (bbox[3] - bbox[1])
+        center = (bbox[2] + bbox[0]) / 2, (bbox[3] + bbox[1]) / 2
+        rotate = 0
+        _scale = self.input_size[0]  / (max(w, h)*1.5)
+        #print('param:', img.shape, bbox, center, self.input_size, _scale, rotate)
+        aimg, M = face_align.transform(img, center, self.input_size[0], _scale, rotate)
+        input_size = tuple(aimg.shape[0:2][::-1])
+        #assert input_size==self.input_size
+        blob = cv2.dnn.blobFromImage(aimg, 1.0/self.input_std, input_size, (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        pred = self.session.run(self.output_names, {self.input_name : blob})[0][0]
+        if self.taskname=='genderage':
+            assert len(pred)==3
+            gender = np.argmax(pred[:2])
+            age = int(np.round(pred[2]*100))
+            face['gender'] = gender
+            face['age'] = age
+            return gender, age
+        else:
+            return pred
+
+
diff --git a/insightface/model_zoo/inswapper.py b/insightface/model_zoo/inswapper.py
new file mode 100644
index 0000000000000000000000000000000000000000..dcaceb1f2dc590e066431bed5b708af66f6c74e0
--- /dev/null
+++ b/insightface/model_zoo/inswapper.py
@@ -0,0 +1,105 @@
+import time
+import numpy as np
+import onnxruntime
+import cv2
+import onnx
+from onnx import numpy_helper
+from ..utils import face_align
+
+
+
+
+class INSwapper():
+    def __init__(self, model_file=None, session=None):
+        self.model_file = model_file
+        self.session = session
+        model = onnx.load(self.model_file)
+        graph = model.graph
+        self.emap = numpy_helper.to_array(graph.initializer[-1])
+        self.input_mean = 0.0
+        self.input_std = 255.0
+        #print('input mean and std:', model_file, self.input_mean, self.input_std)
+        if self.session is None:
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        inputs = self.session.get_inputs()
+        self.input_names = []
+        for inp in inputs:
+            self.input_names.append(inp.name)
+        outputs = self.session.get_outputs()
+        output_names = []
+        for out in outputs:
+            output_names.append(out.name)
+        self.output_names = output_names
+        assert len(self.output_names)==1
+        output_shape = outputs[0].shape
+        input_cfg = inputs[0]
+        input_shape = input_cfg.shape
+        self.input_shape = input_shape
+        print('inswapper-shape:', self.input_shape)
+        self.input_size = tuple(input_shape[2:4][::-1])
+
+    def forward(self, img, latent):
+        img = (img - self.input_mean) / self.input_std
+        pred = self.session.run(self.output_names, {self.input_names[0]: img, self.input_names[1]: latent})[0]
+        return pred
+
+    def get(self, img, target_face, source_face, paste_back=True):
+        aimg, M = face_align.norm_crop2(img, target_face.kps, self.input_size[0])
+        blob = cv2.dnn.blobFromImage(aimg, 1.0 / self.input_std, self.input_size,
+                                      (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        latent = source_face.normed_embedding.reshape((1,-1))
+        latent = np.dot(latent, self.emap)
+        latent /= np.linalg.norm(latent)
+        pred = self.session.run(self.output_names, {self.input_names[0]: blob, self.input_names[1]: latent})[0]
+        #print(latent.shape, latent.dtype, pred.shape)
+        img_fake = pred.transpose((0,2,3,1))[0]
+        bgr_fake = np.clip(255 * img_fake, 0, 255).astype(np.uint8)[:,:,::-1]
+        if not paste_back:
+            return bgr_fake, M
+        else:
+            target_img = img
+            fake_diff = bgr_fake.astype(np.float32) - aimg.astype(np.float32)
+            fake_diff = np.abs(fake_diff).mean(axis=2)
+            fake_diff[:2,:] = 0
+            fake_diff[-2:,:] = 0
+            fake_diff[:,:2] = 0
+            fake_diff[:,-2:] = 0
+            IM = cv2.invertAffineTransform(M)
+            img_white = np.full((aimg.shape[0],aimg.shape[1]), 255, dtype=np.float32)
+            bgr_fake = cv2.warpAffine(bgr_fake, IM, (target_img.shape[1], target_img.shape[0]), borderValue=0.0)
+            img_white = cv2.warpAffine(img_white, IM, (target_img.shape[1], target_img.shape[0]), borderValue=0.0)
+            fake_diff = cv2.warpAffine(fake_diff, IM, (target_img.shape[1], target_img.shape[0]), borderValue=0.0)
+            img_white[img_white>20] = 255
+            fthresh = 10
+            fake_diff[fake_diff<fthresh] = 0
+            fake_diff[fake_diff>=fthresh] = 255
+            img_mask = img_white
+            mask_h_inds, mask_w_inds = np.where(img_mask==255)
+            mask_h = np.max(mask_h_inds) - np.min(mask_h_inds)
+            mask_w = np.max(mask_w_inds) - np.min(mask_w_inds)
+            mask_size = int(np.sqrt(mask_h*mask_w))
+            k = max(mask_size//10, 10)
+            #k = max(mask_size//20, 6)
+            #k = 6
+            kernel = np.ones((k,k),np.uint8)
+            img_mask = cv2.erode(img_mask,kernel,iterations = 1)
+            kernel = np.ones((2,2),np.uint8)
+            fake_diff = cv2.dilate(fake_diff,kernel,iterations = 1)
+            k = max(mask_size//20, 5)
+            #k = 3
+            #k = 3
+            kernel_size = (k, k)
+            blur_size = tuple(2*i+1 for i in kernel_size)
+            img_mask = cv2.GaussianBlur(img_mask, blur_size, 0)
+            k = 5
+            kernel_size = (k, k)
+            blur_size = tuple(2*i+1 for i in kernel_size)
+            fake_diff = cv2.GaussianBlur(fake_diff, blur_size, 0)
+            img_mask /= 255
+            fake_diff /= 255
+            #img_mask = fake_diff
+            img_mask = np.reshape(img_mask, [img_mask.shape[0],img_mask.shape[1],1])
+            fake_merged = img_mask * bgr_fake + (1-img_mask) * target_img.astype(np.float32)
+            fake_merged = fake_merged.astype(np.uint8)
+            return fake_merged
+
diff --git a/insightface/model_zoo/landmark.py b/insightface/model_zoo/landmark.py
new file mode 100644
index 0000000000000000000000000000000000000000..598b4b29a2d0674d8bb25b681f921c61460d101c
--- /dev/null
+++ b/insightface/model_zoo/landmark.py
@@ -0,0 +1,114 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-05-04
+# @Function      : 
+
+from __future__ import division
+import numpy as np
+import cv2
+import onnx
+import onnxruntime
+from ..utils import face_align
+from ..utils import transform
+from ..data import get_object
+
+__all__ = [
+    'Landmark',
+]
+
+
+class Landmark:
+    def __init__(self, model_file=None, session=None):
+        assert model_file is not None
+        self.model_file = model_file
+        self.session = session
+        find_sub = False
+        find_mul = False
+        model = onnx.load(self.model_file)
+        graph = model.graph
+        for nid, node in enumerate(graph.node[:8]):
+            #print(nid, node.name)
+            if node.name.startswith('Sub') or node.name.startswith('_minus'):
+                find_sub = True
+            if node.name.startswith('Mul') or node.name.startswith('_mul'):
+                find_mul = True
+            if nid<3 and node.name=='bn_data':
+                find_sub = True
+                find_mul = True
+        if find_sub and find_mul:
+            #mxnet arcface model
+            input_mean = 0.0
+            input_std = 1.0
+        else:
+            input_mean = 127.5
+            input_std = 128.0
+        self.input_mean = input_mean
+        self.input_std = input_std
+        #print('input mean and std:', model_file, self.input_mean, self.input_std)
+        if self.session is None:
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        input_cfg = self.session.get_inputs()[0]
+        input_shape = input_cfg.shape
+        input_name = input_cfg.name
+        self.input_size = tuple(input_shape[2:4][::-1])
+        self.input_shape = input_shape
+        outputs = self.session.get_outputs()
+        output_names = []
+        for out in outputs:
+            output_names.append(out.name)
+        self.input_name = input_name
+        self.output_names = output_names
+        assert len(self.output_names)==1
+        output_shape = outputs[0].shape
+        self.require_pose = False
+        #print('init output_shape:', output_shape)
+        if output_shape[1]==3309:
+            self.lmk_dim = 3
+            self.lmk_num = 68
+            self.mean_lmk = get_object('meanshape_68.pkl')
+            self.require_pose = True
+        else:
+            self.lmk_dim = 2
+            self.lmk_num = output_shape[1]//self.lmk_dim
+        self.taskname = 'landmark_%dd_%d'%(self.lmk_dim, self.lmk_num)
+
+    def prepare(self, ctx_id, **kwargs):
+        if ctx_id<0:
+            self.session.set_providers(['CPUExecutionProvider'])
+
+    def get(self, img, face):
+        bbox = face.bbox
+        w, h = (bbox[2] - bbox[0]), (bbox[3] - bbox[1])
+        center = (bbox[2] + bbox[0]) / 2, (bbox[3] + bbox[1]) / 2
+        rotate = 0
+        _scale = self.input_size[0]  / (max(w, h)*1.5)
+        #print('param:', img.shape, bbox, center, self.input_size, _scale, rotate)
+        aimg, M = face_align.transform(img, center, self.input_size[0], _scale, rotate)
+        input_size = tuple(aimg.shape[0:2][::-1])
+        #assert input_size==self.input_size
+        blob = cv2.dnn.blobFromImage(aimg, 1.0/self.input_std, input_size, (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        pred = self.session.run(self.output_names, {self.input_name : blob})[0][0]
+        if pred.shape[0] >= 3000:
+            pred = pred.reshape((-1, 3))
+        else:
+            pred = pred.reshape((-1, 2))
+        if self.lmk_num < pred.shape[0]:
+            pred = pred[self.lmk_num*-1:,:]
+        pred[:, 0:2] += 1
+        pred[:, 0:2] *= (self.input_size[0] // 2)
+        if pred.shape[1] == 3:
+            pred[:, 2] *= (self.input_size[0] // 2)
+
+        IM = cv2.invertAffineTransform(M)
+        pred = face_align.trans_points(pred, IM)
+        face[self.taskname] = pred
+        if self.require_pose:
+            P = transform.estimate_affine_matrix_3d23d(self.mean_lmk, pred)
+            s, R, t = transform.P2sRt(P)
+            rx, ry, rz = transform.matrix2angle(R)
+            pose = np.array( [rx, ry, rz], dtype=np.float32 )
+            face['pose'] = pose #pitch, yaw, roll
+        return pred
+
+
diff --git a/insightface/model_zoo/model_store.py b/insightface/model_zoo/model_store.py
new file mode 100644
index 0000000000000000000000000000000000000000..50bb85d314f5b7a0ea8211d2cd21186e32791592
--- /dev/null
+++ b/insightface/model_zoo/model_store.py
@@ -0,0 +1,103 @@
+"""
+This code file mainly comes from https://github.com/dmlc/gluon-cv/blob/master/gluoncv/model_zoo/model_store.py
+"""
+from __future__ import print_function
+
+__all__ = ['get_model_file']
+import os
+import zipfile
+import glob
+
+from ..utils import download, check_sha1
+
+_model_sha1 = {
+    name: checksum
+    for checksum, name in [
+        ('95be21b58e29e9c1237f229dae534bd854009ce0', 'arcface_r100_v1'),
+        ('', 'arcface_mfn_v1'),
+        ('39fd1e087a2a2ed70a154ac01fecaa86c315d01b', 'retinaface_r50_v1'),
+        ('2c9de8116d1f448fd1d4661f90308faae34c990a', 'retinaface_mnet025_v1'),
+        ('0db1d07921d005e6c9a5b38e059452fc5645e5a4', 'retinaface_mnet025_v2'),
+        ('7dd8111652b7aac2490c5dcddeb268e53ac643e6', 'genderage_v1'),
+    ]
+}
+
+base_repo_url = 'https://insightface.ai/files/'
+_url_format = '{repo_url}models/{file_name}.zip'
+
+
+def short_hash(name):
+    if name not in _model_sha1:
+        raise ValueError(
+            'Pretrained model for {name} is not available.'.format(name=name))
+    return _model_sha1[name][:8]
+
+
+def find_params_file(dir_path):
+    if not os.path.exists(dir_path):
+        return None
+    paths = glob.glob("%s/*.params" % dir_path)
+    if len(paths) == 0:
+        return None
+    paths = sorted(paths)
+    return paths[-1]
+
+
+def get_model_file(name, root=os.path.join('~', '.insightface', 'models')):
+    r"""Return location for the pretrained on local file system.
+
+    This function will download from online model zoo when model cannot be found or has mismatch.
+    The root directory will be created if it doesn't exist.
+
+    Parameters
+    ----------
+    name : str
+        Name of the model.
+    root : str, default '~/.mxnet/models'
+        Location for keeping the model parameters.
+
+    Returns
+    -------
+    file_path
+        Path to the requested pretrained model file.
+    """
+
+    file_name = name
+    root = os.path.expanduser(root)
+    dir_path = os.path.join(root, name)
+    file_path = find_params_file(dir_path)
+    #file_path = os.path.join(root, file_name + '.params')
+    sha1_hash = _model_sha1[name]
+    if file_path is not None:
+        if check_sha1(file_path, sha1_hash):
+            return file_path
+        else:
+            print(
+                'Mismatch in the content of model file detected. Downloading again.'
+            )
+    else:
+        print('Model file is not found. Downloading.')
+
+    if not os.path.exists(root):
+        os.makedirs(root)
+    if not os.path.exists(dir_path):
+        os.makedirs(dir_path)
+
+    zip_file_path = os.path.join(root, file_name + '.zip')
+    repo_url = base_repo_url
+    if repo_url[-1] != '/':
+        repo_url = repo_url + '/'
+    download(_url_format.format(repo_url=repo_url, file_name=file_name),
+             path=zip_file_path,
+             overwrite=True)
+    with zipfile.ZipFile(zip_file_path) as zf:
+        zf.extractall(dir_path)
+    os.remove(zip_file_path)
+    file_path = find_params_file(dir_path)
+
+    if check_sha1(file_path, sha1_hash):
+        return file_path
+    else:
+        raise ValueError(
+            'Downloaded file has different hash. Please try again.')
+
diff --git a/insightface/model_zoo/model_zoo.py b/insightface/model_zoo/model_zoo.py
new file mode 100644
index 0000000000000000000000000000000000000000..fc6283114f7b550f084749e65d8b55e1393fe62f
--- /dev/null
+++ b/insightface/model_zoo/model_zoo.py
@@ -0,0 +1,98 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-05-04
+# @Function      : 
+
+import os
+import os.path as osp
+import glob
+import onnxruntime
+from .arcface_onnx import *
+from .retinaface import *
+#from .scrfd import *
+from .landmark import *
+from .attribute import Attribute
+from .inswapper import INSwapper
+from ..utils import download_onnx
+
+__all__ = ['get_model']
+
+
+class PickableInferenceSession(onnxruntime.InferenceSession): 
+    # This is a wrapper to make the current InferenceSession class pickable.
+    def __init__(self, model_path, **kwargs):
+        super().__init__(model_path, **kwargs)
+        self.model_path = model_path
+
+    def __getstate__(self):
+        return {'model_path': self.model_path}
+
+    def __setstate__(self, values):
+        model_path = values['model_path']
+        self.__init__(model_path)
+
+class ModelRouter:
+    def __init__(self, onnx_file):
+        self.onnx_file = onnx_file
+
+    def get_model(self, **kwargs):
+        session = PickableInferenceSession(self.onnx_file, **kwargs)
+        print(f'Applied providers: {session._providers}, with options: {session._provider_options}')
+        inputs = session.get_inputs()
+        input_cfg = inputs[0]
+        input_shape = input_cfg.shape
+        outputs = session.get_outputs()
+
+        if len(outputs)>=5:
+            return RetinaFace(model_file=self.onnx_file, session=session)
+        elif input_shape[2]==192 and input_shape[3]==192:
+            return Landmark(model_file=self.onnx_file, session=session)
+        elif input_shape[2]==96 and input_shape[3]==96:
+            return Attribute(model_file=self.onnx_file, session=session)
+        elif len(inputs)==2 and input_shape[2]==128 and input_shape[3]==128:
+            return INSwapper(model_file=self.onnx_file, session=session)
+        elif input_shape[2]==input_shape[3] and input_shape[2]>=112 and input_shape[2]%16==0:
+            return ArcFaceONNX(model_file=self.onnx_file, session=session)
+        else:
+            #raise RuntimeError('error on model routing')
+            return None
+
+def find_onnx_file(dir_path):
+    if not os.path.exists(dir_path):
+        return None
+    paths = glob.glob("%s/*.onnx" % dir_path)
+    if len(paths) == 0:
+        return None
+    paths = sorted(paths)
+    return paths[-1]
+
+def get_default_providers():
+    return ['CUDAExecutionProvider', 'CPUExecutionProvider']
+
+def get_default_provider_options():
+    return None
+
+def get_model(name, **kwargs):
+    root = kwargs.get('root', '~/.insightface')
+    root = os.path.expanduser(root)
+    model_root = osp.join(root, 'models')
+    allow_download = kwargs.get('download', False)
+    download_zip = kwargs.get('download_zip', False)
+    if not name.endswith('.onnx'):
+        model_dir = os.path.join(model_root, name)
+        model_file = find_onnx_file(model_dir)
+        if model_file is None:
+            return None
+    else:
+        model_file = name
+    if not osp.exists(model_file) and allow_download:
+        model_file = download_onnx('models', model_file, root=root, download_zip=download_zip)
+    assert osp.exists(model_file), 'model_file %s should exist'%model_file
+    assert osp.isfile(model_file), 'model_file %s should be a file'%model_file
+    router = ModelRouter(model_file)
+    providers = kwargs.get('providers', get_default_providers())
+    provider_options = kwargs.get('provider_options', get_default_provider_options())
+    model = router.get_model(providers=providers, provider_options=provider_options)
+    return model
+
diff --git a/insightface/model_zoo/retinaface.py b/insightface/model_zoo/retinaface.py
new file mode 100644
index 0000000000000000000000000000000000000000..fc4ad91ed70688b38503127137e928dc7e5433e1
--- /dev/null
+++ b/insightface/model_zoo/retinaface.py
@@ -0,0 +1,301 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-09-18
+# @Function      : 
+
+from __future__ import division
+import datetime
+import numpy as np
+import onnx
+import onnxruntime
+import os
+import os.path as osp
+import cv2
+import sys
+
+def softmax(z):
+    assert len(z.shape) == 2
+    s = np.max(z, axis=1)
+    s = s[:, np.newaxis] # necessary step to do broadcasting
+    e_x = np.exp(z - s)
+    div = np.sum(e_x, axis=1)
+    div = div[:, np.newaxis] # dito
+    return e_x / div
+
+def distance2bbox(points, distance, max_shape=None):
+    """Decode distance prediction to bounding box.
+
+    Args:
+        points (Tensor): Shape (n, 2), [x, y].
+        distance (Tensor): Distance from the given point to 4
+            boundaries (left, top, right, bottom).
+        max_shape (tuple): Shape of the image.
+
+    Returns:
+        Tensor: Decoded bboxes.
+    """
+    x1 = points[:, 0] - distance[:, 0]
+    y1 = points[:, 1] - distance[:, 1]
+    x2 = points[:, 0] + distance[:, 2]
+    y2 = points[:, 1] + distance[:, 3]
+    if max_shape is not None:
+        x1 = x1.clamp(min=0, max=max_shape[1])
+        y1 = y1.clamp(min=0, max=max_shape[0])
+        x2 = x2.clamp(min=0, max=max_shape[1])
+        y2 = y2.clamp(min=0, max=max_shape[0])
+    return np.stack([x1, y1, x2, y2], axis=-1)
+
+def distance2kps(points, distance, max_shape=None):
+    """Decode distance prediction to bounding box.
+
+    Args:
+        points (Tensor): Shape (n, 2), [x, y].
+        distance (Tensor): Distance from the given point to 4
+            boundaries (left, top, right, bottom).
+        max_shape (tuple): Shape of the image.
+
+    Returns:
+        Tensor: Decoded bboxes.
+    """
+    preds = []
+    for i in range(0, distance.shape[1], 2):
+        px = points[:, i%2] + distance[:, i]
+        py = points[:, i%2+1] + distance[:, i+1]
+        if max_shape is not None:
+            px = px.clamp(min=0, max=max_shape[1])
+            py = py.clamp(min=0, max=max_shape[0])
+        preds.append(px)
+        preds.append(py)
+    return np.stack(preds, axis=-1)
+
+class RetinaFace:
+    def __init__(self, model_file=None, session=None):
+        import onnxruntime
+        self.model_file = model_file
+        self.session = session
+        self.taskname = 'detection'
+        if self.session is None:
+            assert self.model_file is not None
+            assert osp.exists(self.model_file)
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        self.center_cache = {}
+        self.nms_thresh = 0.4
+        self.det_thresh = 0.5
+        self._init_vars()
+
+    def _init_vars(self):
+        input_cfg = self.session.get_inputs()[0]
+        input_shape = input_cfg.shape
+        #print(input_shape)
+        if isinstance(input_shape[2], str):
+            self.input_size = None
+        else:
+            self.input_size = tuple(input_shape[2:4][::-1])
+        #print('image_size:', self.image_size)
+        input_name = input_cfg.name
+        self.input_shape = input_shape
+        outputs = self.session.get_outputs()
+        output_names = []
+        for o in outputs:
+            output_names.append(o.name)
+        self.input_name = input_name
+        self.output_names = output_names
+        self.input_mean = 127.5
+        self.input_std = 128.0
+        #print(self.output_names)
+        #assert len(outputs)==10 or len(outputs)==15
+        self.use_kps = False
+        self._anchor_ratio = 1.0
+        self._num_anchors = 1
+        if len(outputs)==6:
+            self.fmc = 3
+            self._feat_stride_fpn = [8, 16, 32]
+            self._num_anchors = 2
+        elif len(outputs)==9:
+            self.fmc = 3
+            self._feat_stride_fpn = [8, 16, 32]
+            self._num_anchors = 2
+            self.use_kps = True
+        elif len(outputs)==10:
+            self.fmc = 5
+            self._feat_stride_fpn = [8, 16, 32, 64, 128]
+            self._num_anchors = 1
+        elif len(outputs)==15:
+            self.fmc = 5
+            self._feat_stride_fpn = [8, 16, 32, 64, 128]
+            self._num_anchors = 1
+            self.use_kps = True
+
+    def prepare(self, ctx_id, **kwargs):
+        if ctx_id<0:
+            self.session.set_providers(['CPUExecutionProvider'])
+        nms_thresh = kwargs.get('nms_thresh', None)
+        if nms_thresh is not None:
+            self.nms_thresh = nms_thresh
+        det_thresh = kwargs.get('det_thresh', None)
+        if det_thresh is not None:
+            self.det_thresh = det_thresh
+        input_size = kwargs.get('input_size', None)
+        if input_size is not None:
+            if self.input_size is not None:
+                print('warning: det_size is already set in detection model, ignore')
+            else:
+                self.input_size = input_size
+
+    def forward(self, img, threshold):
+        scores_list = []
+        bboxes_list = []
+        kpss_list = []
+        input_size = tuple(img.shape[0:2][::-1])
+        blob = cv2.dnn.blobFromImage(img, 1.0/self.input_std, input_size, (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        net_outs = self.session.run(self.output_names, {self.input_name : blob})
+
+        input_height = blob.shape[2]
+        input_width = blob.shape[3]
+        fmc = self.fmc
+        for idx, stride in enumerate(self._feat_stride_fpn):
+            scores = net_outs[idx]
+            bbox_preds = net_outs[idx+fmc]
+            bbox_preds = bbox_preds * stride
+            if self.use_kps:
+                kps_preds = net_outs[idx+fmc*2] * stride
+            height = input_height // stride
+            width = input_width // stride
+            K = height * width
+            key = (height, width, stride)
+            if key in self.center_cache:
+                anchor_centers = self.center_cache[key]
+            else:
+                #solution-1, c style:
+                #anchor_centers = np.zeros( (height, width, 2), dtype=np.float32 )
+                #for i in range(height):
+                #    anchor_centers[i, :, 1] = i
+                #for i in range(width):
+                #    anchor_centers[:, i, 0] = i
+
+                #solution-2:
+                #ax = np.arange(width, dtype=np.float32)
+                #ay = np.arange(height, dtype=np.float32)
+                #xv, yv = np.meshgrid(np.arange(width), np.arange(height))
+                #anchor_centers = np.stack([xv, yv], axis=-1).astype(np.float32)
+
+                #solution-3:
+                anchor_centers = np.stack(np.mgrid[:height, :width][::-1], axis=-1).astype(np.float32)
+                #print(anchor_centers.shape)
+
+                anchor_centers = (anchor_centers * stride).reshape( (-1, 2) )
+                if self._num_anchors>1:
+                    anchor_centers = np.stack([anchor_centers]*self._num_anchors, axis=1).reshape( (-1,2) )
+                if len(self.center_cache)<100:
+                    self.center_cache[key] = anchor_centers
+
+            pos_inds = np.where(scores>=threshold)[0]
+            bboxes = distance2bbox(anchor_centers, bbox_preds)
+            pos_scores = scores[pos_inds]
+            pos_bboxes = bboxes[pos_inds]
+            scores_list.append(pos_scores)
+            bboxes_list.append(pos_bboxes)
+            if self.use_kps:
+                kpss = distance2kps(anchor_centers, kps_preds)
+                #kpss = kps_preds
+                kpss = kpss.reshape( (kpss.shape[0], -1, 2) )
+                pos_kpss = kpss[pos_inds]
+                kpss_list.append(pos_kpss)
+        return scores_list, bboxes_list, kpss_list
+
+    def detect(self, img, input_size = None, max_num=0, metric='default'):
+        assert input_size is not None or self.input_size is not None
+        input_size = self.input_size if input_size is None else input_size
+            
+        im_ratio = float(img.shape[0]) / img.shape[1]
+        model_ratio = float(input_size[1]) / input_size[0]
+        if im_ratio>model_ratio:
+            new_height = input_size[1]
+            new_width = int(new_height / im_ratio)
+        else:
+            new_width = input_size[0]
+            new_height = int(new_width * im_ratio)
+        det_scale = float(new_height) / img.shape[0]
+        resized_img = cv2.resize(img, (new_width, new_height))
+        det_img = np.zeros( (input_size[1], input_size[0], 3), dtype=np.uint8 )
+        det_img[:new_height, :new_width, :] = resized_img
+
+        scores_list, bboxes_list, kpss_list = self.forward(det_img, self.det_thresh)
+
+        scores = np.vstack(scores_list)
+        scores_ravel = scores.ravel()
+        order = scores_ravel.argsort()[::-1]
+        bboxes = np.vstack(bboxes_list) / det_scale
+        if self.use_kps:
+            kpss = np.vstack(kpss_list) / det_scale
+        pre_det = np.hstack((bboxes, scores)).astype(np.float32, copy=False)
+        pre_det = pre_det[order, :]
+        keep = self.nms(pre_det)
+        det = pre_det[keep, :]
+        if self.use_kps:
+            kpss = kpss[order,:,:]
+            kpss = kpss[keep,:,:]
+        else:
+            kpss = None
+        if max_num > 0 and det.shape[0] > max_num:
+            area = (det[:, 2] - det[:, 0]) * (det[:, 3] -
+                                                    det[:, 1])
+            img_center = img.shape[0] // 2, img.shape[1] // 2
+            offsets = np.vstack([
+                (det[:, 0] + det[:, 2]) / 2 - img_center[1],
+                (det[:, 1] + det[:, 3]) / 2 - img_center[0]
+            ])
+            offset_dist_squared = np.sum(np.power(offsets, 2.0), 0)
+            if metric=='max':
+                values = area
+            else:
+                values = area - offset_dist_squared * 2.0  # some extra weight on the centering
+            bindex = np.argsort(
+                values)[::-1]  # some extra weight on the centering
+            bindex = bindex[0:max_num]
+            det = det[bindex, :]
+            if kpss is not None:
+                kpss = kpss[bindex, :]
+        return det, kpss
+
+    def nms(self, dets):
+        thresh = self.nms_thresh
+        x1 = dets[:, 0]
+        y1 = dets[:, 1]
+        x2 = dets[:, 2]
+        y2 = dets[:, 3]
+        scores = dets[:, 4]
+
+        areas = (x2 - x1 + 1) * (y2 - y1 + 1)
+        order = scores.argsort()[::-1]
+
+        keep = []
+        while order.size > 0:
+            i = order[0]
+            keep.append(i)
+            xx1 = np.maximum(x1[i], x1[order[1:]])
+            yy1 = np.maximum(y1[i], y1[order[1:]])
+            xx2 = np.minimum(x2[i], x2[order[1:]])
+            yy2 = np.minimum(y2[i], y2[order[1:]])
+
+            w = np.maximum(0.0, xx2 - xx1 + 1)
+            h = np.maximum(0.0, yy2 - yy1 + 1)
+            inter = w * h
+            ovr = inter / (areas[i] + areas[order[1:]] - inter)
+
+            inds = np.where(ovr <= thresh)[0]
+            order = order[inds + 1]
+
+        return keep
+
+def get_retinaface(name, download=False, root='~/.insightface/models', **kwargs):
+    if not download:
+        assert os.path.exists(name)
+        return RetinaFace(name)
+    else:
+        from .model_store import get_model_file
+        _file = get_model_file("retinaface_%s" % name, root=root)
+        return retinaface(_file)
+
+
diff --git a/insightface/model_zoo/scrfd.py b/insightface/model_zoo/scrfd.py
new file mode 100644
index 0000000000000000000000000000000000000000..674db4bba761157592dfb95c5d1638da1099f89c
--- /dev/null
+++ b/insightface/model_zoo/scrfd.py
@@ -0,0 +1,348 @@
+# -*- coding: utf-8 -*-
+# @Organization  : insightface.ai
+# @Author        : Jia Guo
+# @Time          : 2021-05-04
+# @Function      : 
+
+from __future__ import division
+import datetime
+import numpy as np
+import onnx
+import onnxruntime
+import os
+import os.path as osp
+import cv2
+import sys
+
+def softmax(z):
+    assert len(z.shape) == 2
+    s = np.max(z, axis=1)
+    s = s[:, np.newaxis] # necessary step to do broadcasting
+    e_x = np.exp(z - s)
+    div = np.sum(e_x, axis=1)
+    div = div[:, np.newaxis] # dito
+    return e_x / div
+
+def distance2bbox(points, distance, max_shape=None):
+    """Decode distance prediction to bounding box.
+
+    Args:
+        points (Tensor): Shape (n, 2), [x, y].
+        distance (Tensor): Distance from the given point to 4
+            boundaries (left, top, right, bottom).
+        max_shape (tuple): Shape of the image.
+
+    Returns:
+        Tensor: Decoded bboxes.
+    """
+    x1 = points[:, 0] - distance[:, 0]
+    y1 = points[:, 1] - distance[:, 1]
+    x2 = points[:, 0] + distance[:, 2]
+    y2 = points[:, 1] + distance[:, 3]
+    if max_shape is not None:
+        x1 = x1.clamp(min=0, max=max_shape[1])
+        y1 = y1.clamp(min=0, max=max_shape[0])
+        x2 = x2.clamp(min=0, max=max_shape[1])
+        y2 = y2.clamp(min=0, max=max_shape[0])
+    return np.stack([x1, y1, x2, y2], axis=-1)
+
+def distance2kps(points, distance, max_shape=None):
+    """Decode distance prediction to bounding box.
+
+    Args:
+        points (Tensor): Shape (n, 2), [x, y].
+        distance (Tensor): Distance from the given point to 4
+            boundaries (left, top, right, bottom).
+        max_shape (tuple): Shape of the image.
+
+    Returns:
+        Tensor: Decoded bboxes.
+    """
+    preds = []
+    for i in range(0, distance.shape[1], 2):
+        px = points[:, i%2] + distance[:, i]
+        py = points[:, i%2+1] + distance[:, i+1]
+        if max_shape is not None:
+            px = px.clamp(min=0, max=max_shape[1])
+            py = py.clamp(min=0, max=max_shape[0])
+        preds.append(px)
+        preds.append(py)
+    return np.stack(preds, axis=-1)
+
+class SCRFD:
+    def __init__(self, model_file=None, session=None):
+        import onnxruntime
+        self.model_file = model_file
+        self.session = session
+        self.taskname = 'detection'
+        self.batched = False
+        if self.session is None:
+            assert self.model_file is not None
+            assert osp.exists(self.model_file)
+            self.session = onnxruntime.InferenceSession(self.model_file, None)
+        self.center_cache = {}
+        self.nms_thresh = 0.4
+        self.det_thresh = 0.5
+        self._init_vars()
+
+    def _init_vars(self):
+        input_cfg = self.session.get_inputs()[0]
+        input_shape = input_cfg.shape
+        #print(input_shape)
+        if isinstance(input_shape[2], str):
+            self.input_size = None
+        else:
+            self.input_size = tuple(input_shape[2:4][::-1])
+        #print('image_size:', self.image_size)
+        input_name = input_cfg.name
+        self.input_shape = input_shape
+        outputs = self.session.get_outputs()
+        if len(outputs[0].shape) == 3:
+            self.batched = True
+        output_names = []
+        for o in outputs:
+            output_names.append(o.name)
+        self.input_name = input_name
+        self.output_names = output_names
+        self.input_mean = 127.5
+        self.input_std = 128.0
+        #print(self.output_names)
+        #assert len(outputs)==10 or len(outputs)==15
+        self.use_kps = False
+        self._anchor_ratio = 1.0
+        self._num_anchors = 1
+        if len(outputs)==6:
+            self.fmc = 3
+            self._feat_stride_fpn = [8, 16, 32]
+            self._num_anchors = 2
+        elif len(outputs)==9:
+            self.fmc = 3
+            self._feat_stride_fpn = [8, 16, 32]
+            self._num_anchors = 2
+            self.use_kps = True
+        elif len(outputs)==10:
+            self.fmc = 5
+            self._feat_stride_fpn = [8, 16, 32, 64, 128]
+            self._num_anchors = 1
+        elif len(outputs)==15:
+            self.fmc = 5
+            self._feat_stride_fpn = [8, 16, 32, 64, 128]
+            self._num_anchors = 1
+            self.use_kps = True
+
+    def prepare(self, ctx_id, **kwargs):
+        if ctx_id<0:
+            self.session.set_providers(['CPUExecutionProvider'])
+        nms_thresh = kwargs.get('nms_thresh', None)
+        if nms_thresh is not None:
+            self.nms_thresh = nms_thresh
+        det_thresh = kwargs.get('det_thresh', None)
+        if det_thresh is not None:
+            self.det_thresh = det_thresh
+        input_size = kwargs.get('input_size', None)
+        if input_size is not None:
+            if self.input_size is not None:
+                print('warning: det_size is already set in scrfd model, ignore')
+            else:
+                self.input_size = input_size
+
+    def forward(self, img, threshold):
+        scores_list = []
+        bboxes_list = []
+        kpss_list = []
+        input_size = tuple(img.shape[0:2][::-1])
+        blob = cv2.dnn.blobFromImage(img, 1.0/self.input_std, input_size, (self.input_mean, self.input_mean, self.input_mean), swapRB=True)
+        net_outs = self.session.run(self.output_names, {self.input_name : blob})
+
+        input_height = blob.shape[2]
+        input_width = blob.shape[3]
+        fmc = self.fmc
+        for idx, stride in enumerate(self._feat_stride_fpn):
+            # If model support batch dim, take first output
+            if self.batched:
+                scores = net_outs[idx][0]
+                bbox_preds = net_outs[idx + fmc][0]
+                bbox_preds = bbox_preds * stride
+                if self.use_kps:
+                    kps_preds = net_outs[idx + fmc * 2][0] * stride
+            # If model doesn't support batching take output as is
+            else:
+                scores = net_outs[idx]
+                bbox_preds = net_outs[idx + fmc]
+                bbox_preds = bbox_preds * stride
+                if self.use_kps:
+                    kps_preds = net_outs[idx + fmc * 2] * stride
+
+            height = input_height // stride
+            width = input_width // stride
+            K = height * width
+            key = (height, width, stride)
+            if key in self.center_cache:
+                anchor_centers = self.center_cache[key]
+            else:
+                #solution-1, c style:
+                #anchor_centers = np.zeros( (height, width, 2), dtype=np.float32 )
+                #for i in range(height):
+                #    anchor_centers[i, :, 1] = i
+                #for i in range(width):
+                #    anchor_centers[:, i, 0] = i
+
+                #solution-2:
+                #ax = np.arange(width, dtype=np.float32)
+                #ay = np.arange(height, dtype=np.float32)
+                #xv, yv = np.meshgrid(np.arange(width), np.arange(height))
+                #anchor_centers = np.stack([xv, yv], axis=-1).astype(np.float32)
+
+                #solution-3:
+                anchor_centers = np.stack(np.mgrid[:height, :width][::-1], axis=-1).astype(np.float32)
+                #print(anchor_centers.shape)
+
+                anchor_centers = (anchor_centers * stride).reshape( (-1, 2) )
+                if self._num_anchors>1:
+                    anchor_centers = np.stack([anchor_centers]*self._num_anchors, axis=1).reshape( (-1,2) )
+                if len(self.center_cache)<100:
+                    self.center_cache[key] = anchor_centers
+
+            pos_inds = np.where(scores>=threshold)[0]
+            bboxes = distance2bbox(anchor_centers, bbox_preds)
+            pos_scores = scores[pos_inds]
+            pos_bboxes = bboxes[pos_inds]
+            scores_list.append(pos_scores)
+            bboxes_list.append(pos_bboxes)
+            if self.use_kps:
+                kpss = distance2kps(anchor_centers, kps_preds)
+                #kpss = kps_preds
+                kpss = kpss.reshape( (kpss.shape[0], -1, 2) )
+                pos_kpss = kpss[pos_inds]
+                kpss_list.append(pos_kpss)
+        return scores_list, bboxes_list, kpss_list
+
+    def detect(self, img, input_size = None, max_num=0, metric='default'):
+        assert input_size is not None or self.input_size is not None
+        input_size = self.input_size if input_size is None else input_size
+            
+        im_ratio = float(img.shape[0]) / img.shape[1]
+        model_ratio = float(input_size[1]) / input_size[0]
+        if im_ratio>model_ratio:
+            new_height = input_size[1]
+            new_width = int(new_height / im_ratio)
+        else:
+            new_width = input_size[0]
+            new_height = int(new_width * im_ratio)
+        det_scale = float(new_height) / img.shape[0]
+        resized_img = cv2.resize(img, (new_width, new_height))
+        det_img = np.zeros( (input_size[1], input_size[0], 3), dtype=np.uint8 )
+        det_img[:new_height, :new_width, :] = resized_img
+
+        scores_list, bboxes_list, kpss_list = self.forward(det_img, self.det_thresh)
+
+        scores = np.vstack(scores_list)
+        scores_ravel = scores.ravel()
+        order = scores_ravel.argsort()[::-1]
+        bboxes = np.vstack(bboxes_list) / det_scale
+        if self.use_kps:
+            kpss = np.vstack(kpss_list) / det_scale
+        pre_det = np.hstack((bboxes, scores)).astype(np.float32, copy=False)
+        pre_det = pre_det[order, :]
+        keep = self.nms(pre_det)
+        det = pre_det[keep, :]
+        if self.use_kps:
+            kpss = kpss[order,:,:]
+            kpss = kpss[keep,:,:]
+        else:
+            kpss = None
+        if max_num > 0 and det.shape[0] > max_num:
+            area = (det[:, 2] - det[:, 0]) * (det[:, 3] -
+                                                    det[:, 1])
+            img_center = img.shape[0] // 2, img.shape[1] // 2
+            offsets = np.vstack([
+                (det[:, 0] + det[:, 2]) / 2 - img_center[1],
+                (det[:, 1] + det[:, 3]) / 2 - img_center[0]
+            ])
+            offset_dist_squared = np.sum(np.power(offsets, 2.0), 0)
+            if metric=='max':
+                values = area
+            else:
+                values = area - offset_dist_squared * 2.0  # some extra weight on the centering
+            bindex = np.argsort(
+                values)[::-1]  # some extra weight on the centering
+            bindex = bindex[0:max_num]
+            det = det[bindex, :]
+            if kpss is not None:
+                kpss = kpss[bindex, :]
+        return det, kpss
+
+    def nms(self, dets):
+        thresh = self.nms_thresh
+        x1 = dets[:, 0]
+        y1 = dets[:, 1]
+        x2 = dets[:, 2]
+        y2 = dets[:, 3]
+        scores = dets[:, 4]
+
+        areas = (x2 - x1 + 1) * (y2 - y1 + 1)
+        order = scores.argsort()[::-1]
+
+        keep = []
+        while order.size > 0:
+            i = order[0]
+            keep.append(i)
+            xx1 = np.maximum(x1[i], x1[order[1:]])
+            yy1 = np.maximum(y1[i], y1[order[1:]])
+            xx2 = np.minimum(x2[i], x2[order[1:]])
+            yy2 = np.minimum(y2[i], y2[order[1:]])
+
+            w = np.maximum(0.0, xx2 - xx1 + 1)
+            h = np.maximum(0.0, yy2 - yy1 + 1)
+            inter = w * h
+            ovr = inter / (areas[i] + areas[order[1:]] - inter)
+
+            inds = np.where(ovr <= thresh)[0]
+            order = order[inds + 1]
+
+        return keep
+
+def get_scrfd(name, download=False, root='~/.insightface/models', **kwargs):
+    if not download:
+        assert os.path.exists(name)
+        return SCRFD(name)
+    else:
+        from .model_store import get_model_file
+        _file = get_model_file("scrfd_%s" % name, root=root)
+        return SCRFD(_file)
+
+
+def scrfd_2p5gkps(**kwargs):
+    return get_scrfd("2p5gkps", download=True, **kwargs)
+
+
+if __name__ == '__main__':
+    import glob
+    detector = SCRFD(model_file='./det.onnx')
+    detector.prepare(-1)
+    img_paths = ['tests/data/t1.jpg']
+    for img_path in img_paths:
+        img = cv2.imread(img_path)
+
+        for _ in range(1):
+            ta = datetime.datetime.now()
+            #bboxes, kpss = detector.detect(img, 0.5, input_size = (640, 640))
+            bboxes, kpss = detector.detect(img, 0.5)
+            tb = datetime.datetime.now()
+            print('all cost:', (tb-ta).total_seconds()*1000)
+        print(img_path, bboxes.shape)
+        if kpss is not None:
+            print(kpss.shape)
+        for i in range(bboxes.shape[0]):
+            bbox = bboxes[i]
+            x1,y1,x2,y2,score = bbox.astype(np.int)
+            cv2.rectangle(img, (x1,y1)  , (x2,y2) , (255,0,0) , 2)
+            if kpss is not None:
+                kps = kpss[i]
+                for kp in kps:
+                    kp = kp.astype(np.int)
+                    cv2.circle(img, tuple(kp) , 1, (0,0,255) , 2)
+        filename = img_path.split('/')[-1]
+        print('output:', filename)
+        cv2.imwrite('./outputs/%s'%filename, img)
+
diff --git a/insightface/models/buffalo_l.zip b/insightface/models/buffalo_l.zip
new file mode 100644
index 0000000000000000000000000000000000000000..3c8de83bd164f9ac2abc7eb4486ff01b1fd3af4f
--- /dev/null
+++ b/insightface/models/buffalo_l.zip
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80ffe37d8a5940d59a7384c201a2a38d4741f2f3c51eef46ebb28218a7b0ca2f
+size 288621354
diff --git a/insightface/models/buffalo_l/1k3d68.onnx b/insightface/models/buffalo_l/1k3d68.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..221aa2f02a6faccddb2723529e1f93c7db2edbdc
--- /dev/null
+++ b/insightface/models/buffalo_l/1k3d68.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df5c06b8a0c12e422b2ed8947b8869faa4105387f199c477af038aa01f9a45cc
+size 143607619
diff --git a/insightface/models/buffalo_l/2d106det.onnx b/insightface/models/buffalo_l/2d106det.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..cdb163d88b5f51396855ebc795e0114322c98b6b
--- /dev/null
+++ b/insightface/models/buffalo_l/2d106det.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f001b856447c413801ef5c42091ed0cd516fcd21f2d6b79635b1e733a7109dbf
+size 5030888
diff --git a/insightface/models/buffalo_l/det_10g.onnx b/insightface/models/buffalo_l/det_10g.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..aa586e034379fa5ea5babc8aa73d47afcd0fa6c2
--- /dev/null
+++ b/insightface/models/buffalo_l/det_10g.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5838f7fe053675b1c7a08b633df49e7af5495cee0493c7dcf6697200b85b5b91
+size 16923827
diff --git a/insightface/models/buffalo_l/genderage.onnx b/insightface/models/buffalo_l/genderage.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..fcf638481cea978e99ddabd914ccd3b70c8401cb
--- /dev/null
+++ b/insightface/models/buffalo_l/genderage.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fde69b1c810857b88c64a335084f1c3fe8f01246c9a191b48c7bb756d6652fb
+size 1322532
diff --git a/insightface/models/buffalo_l/w600k_r50.onnx b/insightface/models/buffalo_l/w600k_r50.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..571d2bb9ffd76399b23260620b9101b20bcc4e99
--- /dev/null
+++ b/insightface/models/buffalo_l/w600k_r50.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c06341c33c2ca1f86781dab0e829f88ad5b64be9fba56e56bc9ebdefc619e43
+size 174383860
diff --git a/insightface/thirdparty/__init__.py b/insightface/thirdparty/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/insightface/thirdparty/__pycache__/__init__.cpython-310.pyc b/insightface/thirdparty/__pycache__/__init__.cpython-310.pyc
new file mode 100644
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diff --git a/insightface/thirdparty/__pycache__/__init__.cpython-39.pyc b/insightface/thirdparty/__pycache__/__init__.cpython-39.pyc
new file mode 100644
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diff --git a/insightface/thirdparty/face3d/__init__.py b/insightface/thirdparty/face3d/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..68b284753ecf951292cf69347f797db4ec1ad41e
--- /dev/null
+++ b/insightface/thirdparty/face3d/__init__.py
@@ -0,0 +1,4 @@
+#import mesh
+#import morphable_model
+from . import mesh
+from . import morphable_model
diff --git a/insightface/thirdparty/face3d/__pycache__/__init__.cpython-310.pyc b/insightface/thirdparty/face3d/__pycache__/__init__.cpython-310.pyc
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diff --git a/insightface/thirdparty/face3d/__pycache__/__init__.cpython-39.pyc b/insightface/thirdparty/face3d/__pycache__/__init__.cpython-39.pyc
new file mode 100644
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diff --git a/insightface/thirdparty/face3d/mesh/__init__.py b/insightface/thirdparty/face3d/mesh/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..4e432960656282c76c1393f63d06c62e3a04c465
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/__init__.py
@@ -0,0 +1,15 @@
+#from __future__ import absolute_import
+#from cython import mesh_core_cython
+#import io
+#import vis
+#import transform
+#import light
+#import render
+
+from .cython import mesh_core_cython
+from . import io
+from . import vis
+from . import transform
+from . import light
+from . import render
+
diff --git a/insightface/thirdparty/face3d/mesh/__pycache__/__init__.cpython-310.pyc b/insightface/thirdparty/face3d/mesh/__pycache__/__init__.cpython-310.pyc
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diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core.cpp b/insightface/thirdparty/face3d/mesh/cython/mesh_core.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..aeea4dae814a1c43c2cfc59f3636f8d43ca9093d
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core.cpp
@@ -0,0 +1,375 @@
+/*
+functions that can not be optimazed by vertorization in python.
+1. rasterization.(need process each triangle)
+2. normal of each vertex.(use one-ring, need process each vertex)
+3. write obj(seems that it can be verctorized? anyway, writing it in c++ is simple, so also add function here. --> however, why writting in c++ is still slow?)
+
+Author: Yao Feng 
+Mail: yaofeng1995@gmail.com
+*/
+
+#include "mesh_core.h"
+
+
+/* Judge whether the point is in the triangle
+Method:
+    http://blackpawn.com/texts/pointinpoly/
+Args:
+    point: [x, y] 
+    tri_points: three vertices(2d points) of a triangle. 2 coords x 3 vertices
+Returns:
+    bool: true for in triangle
+*/
+bool isPointInTri(point p, point p0, point p1, point p2)
+{   
+    // vectors
+    point v0, v1, v2;
+    v0 = p2 - p0;
+    v1 = p1 - p0;
+    v2 = p - p0;
+
+    // dot products
+    float dot00 = v0.dot(v0); //v0.x * v0.x + v0.y * v0.y //np.dot(v0.T, v0)
+    float dot01 = v0.dot(v1); //v0.x * v1.x + v0.y * v1.y //np.dot(v0.T, v1)
+    float dot02 = v0.dot(v2); //v0.x * v2.x + v0.y * v2.y //np.dot(v0.T, v2)
+    float dot11 = v1.dot(v1); //v1.x * v1.x + v1.y * v1.y //np.dot(v1.T, v1)
+    float dot12 = v1.dot(v2); //v1.x * v2.x + v1.y * v2.y//np.dot(v1.T, v2)
+
+    // barycentric coordinates
+    float inverDeno;
+    if(dot00*dot11 - dot01*dot01 == 0)
+        inverDeno = 0;
+    else
+        inverDeno = 1/(dot00*dot11 - dot01*dot01);
+
+    float u = (dot11*dot02 - dot01*dot12)*inverDeno;
+    float v = (dot00*dot12 - dot01*dot02)*inverDeno;
+
+    // check if point in triangle
+    return (u >= 0) && (v >= 0) && (u + v < 1);
+}
+
+
+void get_point_weight(float* weight, point p, point p0, point p1, point p2)
+{   
+    // vectors
+    point v0, v1, v2;
+    v0 = p2 - p0; 
+    v1 = p1 - p0; 
+    v2 = p - p0; 
+
+    // dot products
+    float dot00 = v0.dot(v0); //v0.x * v0.x + v0.y * v0.y //np.dot(v0.T, v0)
+    float dot01 = v0.dot(v1); //v0.x * v1.x + v0.y * v1.y //np.dot(v0.T, v1)
+    float dot02 = v0.dot(v2); //v0.x * v2.x + v0.y * v2.y //np.dot(v0.T, v2)
+    float dot11 = v1.dot(v1); //v1.x * v1.x + v1.y * v1.y //np.dot(v1.T, v1)
+    float dot12 = v1.dot(v2); //v1.x * v2.x + v1.y * v2.y//np.dot(v1.T, v2)
+
+    // barycentric coordinates
+    float inverDeno;
+    if(dot00*dot11 - dot01*dot01 == 0)
+        inverDeno = 0;
+    else
+        inverDeno = 1/(dot00*dot11 - dot01*dot01);
+
+    float u = (dot11*dot02 - dot01*dot12)*inverDeno;
+    float v = (dot00*dot12 - dot01*dot02)*inverDeno;
+
+    // weight
+    weight[0] = 1 - u - v;
+    weight[1] = v;
+    weight[2] = u;
+}
+
+
+void _get_normal_core(
+    float* normal, float* tri_normal, int* triangles,
+    int ntri)
+{
+    int i, j;
+    int tri_p0_ind, tri_p1_ind, tri_p2_ind;
+
+    for(i = 0; i < ntri; i++)
+    {
+        tri_p0_ind = triangles[3*i];
+        tri_p1_ind = triangles[3*i + 1];
+        tri_p2_ind = triangles[3*i + 2];
+
+        for(j = 0; j < 3; j++)
+        {
+            normal[3*tri_p0_ind + j] = normal[3*tri_p0_ind + j] + tri_normal[3*i + j];
+            normal[3*tri_p1_ind + j] = normal[3*tri_p1_ind + j] + tri_normal[3*i + j];
+            normal[3*tri_p2_ind + j] = normal[3*tri_p2_ind + j] + tri_normal[3*i + j];
+        }
+    }
+}
+
+
+void _rasterize_triangles_core(
+    float* vertices, int* triangles, 
+    float* depth_buffer, int* triangle_buffer, float* barycentric_weight,
+    int nver, int ntri,
+    int h, int w)
+{
+    int i;
+    int x, y, k;
+    int tri_p0_ind, tri_p1_ind, tri_p2_ind;
+    point p0, p1, p2, p;
+    int x_min, x_max, y_min, y_max;
+    float p_depth, p0_depth, p1_depth, p2_depth;
+    float weight[3];
+
+    for(i = 0; i < ntri; i++)
+    {
+        tri_p0_ind = triangles[3*i];
+        tri_p1_ind = triangles[3*i + 1];
+        tri_p2_ind = triangles[3*i + 2];
+
+        p0.x = vertices[3*tri_p0_ind]; p0.y = vertices[3*tri_p0_ind + 1]; p0_depth = vertices[3*tri_p0_ind + 2];
+        p1.x = vertices[3*tri_p1_ind]; p1.y = vertices[3*tri_p1_ind + 1]; p1_depth = vertices[3*tri_p1_ind + 2];
+        p2.x = vertices[3*tri_p2_ind]; p2.y = vertices[3*tri_p2_ind + 1]; p2_depth = vertices[3*tri_p2_ind + 2];
+        
+        x_min = max((int)ceil(min(p0.x, min(p1.x, p2.x))), 0);
+        x_max = min((int)floor(max(p0.x, max(p1.x, p2.x))), w - 1);
+      
+        y_min = max((int)ceil(min(p0.y, min(p1.y, p2.y))), 0);
+        y_max = min((int)floor(max(p0.y, max(p1.y, p2.y))), h - 1);
+
+        if(x_max < x_min || y_max < y_min)
+        {
+            continue;
+        }
+
+        for(y = y_min; y <= y_max; y++) //h
+        {
+            for(x = x_min; x <= x_max; x++) //w
+            {
+                p.x = x; p.y = y;
+                if(p.x < 2 || p.x > w - 3 || p.y < 2 || p.y > h - 3 || isPointInTri(p, p0, p1, p2))
+                {
+                    get_point_weight(weight, p, p0, p1, p2);
+                    p_depth = weight[0]*p0_depth + weight[1]*p1_depth + weight[2]*p2_depth;
+
+                    if((p_depth > depth_buffer[y*w + x]))
+                    {
+                        depth_buffer[y*w + x] = p_depth;
+                        triangle_buffer[y*w + x] = i;
+                        for(k = 0; k < 3; k++)
+                        {
+                            barycentric_weight[y*w*3 + x*3 + k] = weight[k];
+                        }
+                    }
+                }
+            }
+        }
+    }
+}
+
+
+void _render_colors_core(
+    float* image, float* vertices, int* triangles, 
+    float* colors, 
+    float* depth_buffer,
+    int nver, int ntri,
+    int h, int w, int c)
+{
+    int i;
+    int x, y, k;
+    int tri_p0_ind, tri_p1_ind, tri_p2_ind;
+    point p0, p1, p2, p;
+    int x_min, x_max, y_min, y_max;
+    float p_depth, p0_depth, p1_depth, p2_depth;
+    float p_color, p0_color, p1_color, p2_color;
+    float weight[3];
+
+    for(i = 0; i < ntri; i++)
+    {
+        tri_p0_ind = triangles[3*i];
+        tri_p1_ind = triangles[3*i + 1];
+        tri_p2_ind = triangles[3*i + 2];
+
+        p0.x = vertices[3*tri_p0_ind]; p0.y = vertices[3*tri_p0_ind + 1]; p0_depth = vertices[3*tri_p0_ind + 2];
+        p1.x = vertices[3*tri_p1_ind]; p1.y = vertices[3*tri_p1_ind + 1]; p1_depth = vertices[3*tri_p1_ind + 2];
+        p2.x = vertices[3*tri_p2_ind]; p2.y = vertices[3*tri_p2_ind + 1]; p2_depth = vertices[3*tri_p2_ind + 2];
+        
+        x_min = max((int)ceil(min(p0.x, min(p1.x, p2.x))), 0);
+        x_max = min((int)floor(max(p0.x, max(p1.x, p2.x))), w - 1);
+      
+        y_min = max((int)ceil(min(p0.y, min(p1.y, p2.y))), 0);
+        y_max = min((int)floor(max(p0.y, max(p1.y, p2.y))), h - 1);
+
+        if(x_max < x_min || y_max < y_min)
+        {
+            continue;
+        }
+
+        for(y = y_min; y <= y_max; y++) //h
+        {
+            for(x = x_min; x <= x_max; x++) //w
+            {
+                p.x = x; p.y = y;
+                if(p.x < 2 || p.x > w - 3 || p.y < 2 || p.y > h - 3 || isPointInTri(p, p0, p1, p2))
+                {
+                    get_point_weight(weight, p, p0, p1, p2);
+                    p_depth = weight[0]*p0_depth + weight[1]*p1_depth + weight[2]*p2_depth;
+
+                    if((p_depth > depth_buffer[y*w + x]))
+                    {
+                        for(k = 0; k < c; k++) // c
+                        {   
+                            p0_color = colors[c*tri_p0_ind + k];
+                            p1_color = colors[c*tri_p1_ind + k];
+                            p2_color = colors[c*tri_p2_ind + k]; 
+
+                            p_color = weight[0]*p0_color + weight[1]*p1_color + weight[2]*p2_color;
+                            image[y*w*c + x*c + k] = p_color;
+                        }
+
+                        depth_buffer[y*w + x] = p_depth;
+                    }
+                }
+            }
+        }
+    }
+}
+
+
+void _render_texture_core(
+    float* image, float* vertices, int* triangles, 
+    float* texture, float* tex_coords, int* tex_triangles, 
+    float* depth_buffer,
+    int nver, int tex_nver, int ntri, 
+    int h, int w, int c, 
+    int tex_h, int tex_w, int tex_c, 
+    int mapping_type)
+{
+    int i;
+    int x, y, k;
+    int tri_p0_ind, tri_p1_ind, tri_p2_ind;
+    int tex_tri_p0_ind, tex_tri_p1_ind, tex_tri_p2_ind;
+    point p0, p1, p2, p;
+    point tex_p0, tex_p1, tex_p2, tex_p;
+    int x_min, x_max, y_min, y_max;
+    float weight[3];
+    float p_depth, p0_depth, p1_depth, p2_depth;
+    float xd, yd;
+    float ul, ur, dl, dr;
+    for(i = 0; i < ntri; i++)
+    {
+        // mesh
+        tri_p0_ind = triangles[3*i];
+        tri_p1_ind = triangles[3*i + 1];
+        tri_p2_ind = triangles[3*i + 2];
+
+        p0.x = vertices[3*tri_p0_ind]; p0.y = vertices[3*tri_p0_ind + 1]; p0_depth = vertices[3*tri_p0_ind + 2];
+        p1.x = vertices[3*tri_p1_ind]; p1.y = vertices[3*tri_p1_ind + 1]; p1_depth = vertices[3*tri_p1_ind + 2];
+        p2.x = vertices[3*tri_p2_ind]; p2.y = vertices[3*tri_p2_ind + 1]; p2_depth = vertices[3*tri_p2_ind + 2];
+       
+        // texture
+        tex_tri_p0_ind = tex_triangles[3*i];
+        tex_tri_p1_ind = tex_triangles[3*i + 1];
+        tex_tri_p2_ind = tex_triangles[3*i + 2];
+
+        tex_p0.x = tex_coords[3*tex_tri_p0_ind]; tex_p0.y = tex_coords[3*tri_p0_ind + 1];
+        tex_p1.x = tex_coords[3*tex_tri_p1_ind]; tex_p1.y = tex_coords[3*tri_p1_ind + 1];
+        tex_p2.x = tex_coords[3*tex_tri_p2_ind]; tex_p2.y = tex_coords[3*tri_p2_ind + 1];
+
+
+        x_min = max((int)ceil(min(p0.x, min(p1.x, p2.x))), 0);
+        x_max = min((int)floor(max(p0.x, max(p1.x, p2.x))), w - 1);
+      
+        y_min = max((int)ceil(min(p0.y, min(p1.y, p2.y))), 0);
+        y_max = min((int)floor(max(p0.y, max(p1.y, p2.y))), h - 1);
+
+
+        if(x_max < x_min || y_max < y_min)
+        {
+            continue;
+        }
+
+        for(y = y_min; y <= y_max; y++) //h
+        {
+            for(x = x_min; x <= x_max; x++) //w
+            {
+                p.x = x; p.y = y;
+                if(p.x < 2 || p.x > w - 3 || p.y < 2 || p.y > h - 3 || isPointInTri(p, p0, p1, p2))
+                {
+                    get_point_weight(weight, p, p0, p1, p2);
+                    p_depth = weight[0]*p0_depth + weight[1]*p1_depth + weight[2]*p2_depth;
+                    
+                    if((p_depth > depth_buffer[y*w + x]))
+                    {
+                        // -- color from texture
+                        // cal weight in mesh tri
+                        get_point_weight(weight, p, p0, p1, p2);
+                        // cal coord in texture
+                        tex_p = tex_p0*weight[0] + tex_p1*weight[1] + tex_p2*weight[2];
+                        tex_p.x = max(min(tex_p.x, float(tex_w - 1)), float(0)); 
+                        tex_p.y = max(min(tex_p.y, float(tex_h - 1)), float(0)); 
+
+                        yd = tex_p.y - floor(tex_p.y);
+                        xd = tex_p.x - floor(tex_p.x);
+                        for(k = 0; k < c; k++)
+                        {
+                            if(mapping_type==0)// nearest
+                            {   
+                                image[y*w*c + x*c + k] = texture[int(round(tex_p.y))*tex_w*tex_c + int(round(tex_p.x))*tex_c + k];
+                            }
+                            else//bilinear interp
+                            { 
+                                ul = texture[(int)floor(tex_p.y)*tex_w*tex_c + (int)floor(tex_p.x)*tex_c + k];
+                                ur = texture[(int)floor(tex_p.y)*tex_w*tex_c + (int)ceil(tex_p.x)*tex_c + k];
+                                dl = texture[(int)ceil(tex_p.y)*tex_w*tex_c + (int)floor(tex_p.x)*tex_c + k];
+                                dr = texture[(int)ceil(tex_p.y)*tex_w*tex_c + (int)ceil(tex_p.x)*tex_c + k];
+
+                                image[y*w*c + x*c + k] = ul*(1-xd)*(1-yd) + ur*xd*(1-yd) + dl*(1-xd)*yd + dr*xd*yd;
+                            }
+
+                        }
+
+                        depth_buffer[y*w + x] = p_depth;
+                    } 
+                }
+            }
+        }
+    }
+}
+
+
+
+// ------------------------------------------------- write
+// obj write
+// Ref: https://github.com/patrikhuber/eos/blob/master/include/eos/core/Mesh.hpp
+void _write_obj_with_colors_texture(string filename, string mtl_name, 
+    float* vertices, int* triangles, float* colors, float* uv_coords,
+    int nver, int ntri, int ntexver)
+{
+    int i;
+
+    ofstream obj_file(filename.c_str());
+
+    // first line of the obj file: the mtl name
+    obj_file << "mtllib " << mtl_name << endl;
+    
+    // write vertices 
+    for (i = 0; i < nver; ++i) 
+    {
+        obj_file << "v " << vertices[3*i] << " " << vertices[3*i + 1] << " " << vertices[3*i + 2] << colors[3*i] << " " << colors[3*i + 1] << " " << colors[3*i + 2] <<  endl;
+    }
+
+    // write uv coordinates
+    for (i = 0; i < ntexver; ++i) 
+    {
+        //obj_file << "vt " << uv_coords[2*i] << " " << (1 - uv_coords[2*i + 1]) << endl;
+        obj_file << "vt " << uv_coords[2*i] << " " << uv_coords[2*i + 1] << endl;
+    }
+
+    obj_file << "usemtl FaceTexture" << endl;
+    // write triangles
+    for (i = 0; i < ntri; ++i) 
+    {
+        // obj_file << "f " << triangles[3*i] << "/" << triangles[3*i] << " " << triangles[3*i + 1] << "/" << triangles[3*i + 1] << " " << triangles[3*i + 2] << "/" << triangles[3*i + 2] << endl;
+        obj_file << "f " << triangles[3*i + 2] << "/" << triangles[3*i + 2] << " " << triangles[3*i + 1] << "/" << triangles[3*i + 1] << " " << triangles[3*i] << "/" << triangles[3*i] << endl;
+    }
+
+}
diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core.h b/insightface/thirdparty/face3d/mesh/cython/mesh_core.h
new file mode 100644
index 0000000000000000000000000000000000000000..3eb00290f36f8cbe27a17d88bca31fe718d77e2c
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core.h
@@ -0,0 +1,83 @@
+#ifndef MESH_CORE_HPP_
+#define MESH_CORE_HPP_
+
+#include <stdio.h>
+#include <cmath>
+#include <algorithm>  
+#include <string>
+#include <iostream>
+#include <fstream>
+
+using namespace std;
+
+class point
+{
+ public:
+    float x;
+    float y;
+
+    float dot(point p)
+    {
+        return this->x * p.x + this->y * p.y;
+    }
+
+    point operator-(const point& p)
+    {
+        point np;
+        np.x = this->x - p.x;
+        np.y = this->y - p.y;
+        return np;
+    }
+
+    point operator+(const point& p)
+    {
+        point np;
+        np.x = this->x + p.x;
+        np.y = this->y + p.y;
+        return np;
+    }
+
+    point operator*(float s)
+    {
+        point np;
+        np.x = s * this->x;
+        np.y = s * this->y;
+        return np;
+    }
+}; 
+
+
+bool isPointInTri(point p, point p0, point p1, point p2, int h, int w);
+void get_point_weight(float* weight, point p, point p0, point p1, point p2);
+
+void _get_normal_core(
+    float* normal, float* tri_normal, int* triangles,
+    int ntri);
+
+void _rasterize_triangles_core(
+    float* vertices, int* triangles, 
+    float* depth_buffer, int* triangle_buffer, float* barycentric_weight,
+    int nver, int ntri,
+    int h, int w);
+
+void _render_colors_core(
+    float* image, float* vertices, int* triangles, 
+    float* colors, 
+    float* depth_buffer,
+    int nver, int ntri,
+    int h, int w, int c);
+
+void _render_texture_core(
+    float* image, float* vertices, int* triangles, 
+    float* texture, float* tex_coords, int* tex_triangles, 
+    float* depth_buffer,
+    int nver, int tex_nver, int ntri, 
+    int h, int w, int c, 
+    int tex_h, int tex_w, int tex_c, 
+    int mapping_type);
+
+void _write_obj_with_colors_texture(string filename, string mtl_name, 
+    float* vertices, int* triangles, float* colors, float* uv_coords,
+    int nver, int ntri, int ntexver);
+
+#endif
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.c b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.c
new file mode 100644
index 0000000000000000000000000000000000000000..e113ac54ae03e4a79ea2a975ef33e67deb9d93d6
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.c
@@ -0,0 +1,9091 @@
+/* Generated by Cython 0.28.2 */
+
+/* BEGIN: Cython Metadata
+{
+    "distutils": {
+        "depends": [
+            "insightface/thirdparty/face3d/mesh/cython/mesh_core.h"
+        ],
+        "include_dirs": [
+            "insightface/thirdparty/face3d/mesh/cython"
+        ],
+        "name": "mesh_core_cython",
+        "sources": [
+            "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx"
+        ]
+    },
+    "module_name": "mesh_core_cython"
+}
+END: Cython Metadata */
+
+#define PY_SSIZE_T_CLEAN
+#include "Python.h"
+#ifndef Py_PYTHON_H
+    #error Python headers needed to compile C extensions, please install development version of Python.
+#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
+    #error Cython requires Python 2.6+ or Python 3.3+.
+#else
+#define CYTHON_ABI "0_28_2"
+#define CYTHON_FUTURE_DIVISION 0
+#include <stddef.h>
+#ifndef offsetof
+  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
+#endif
+#if !defined(WIN32) && !defined(MS_WINDOWS)
+  #ifndef __stdcall
+    #define __stdcall
+  #endif
+  #ifndef __cdecl
+    #define __cdecl
+  #endif
+  #ifndef __fastcall
+    #define __fastcall
+  #endif
+#endif
+#ifndef DL_IMPORT
+  #define DL_IMPORT(t) t
+#endif
+#ifndef DL_EXPORT
+  #define DL_EXPORT(t) t
+#endif
+#define __PYX_COMMA ,
+#ifndef HAVE_LONG_LONG
+  #if PY_VERSION_HEX >= 0x02070000
+    #define HAVE_LONG_LONG
+  #endif
+#endif
+#ifndef PY_LONG_LONG
+  #define PY_LONG_LONG LONG_LONG
+#endif
+#ifndef Py_HUGE_VAL
+  #define Py_HUGE_VAL HUGE_VAL
+#endif
+#ifdef PYPY_VERSION
+  #define CYTHON_COMPILING_IN_PYPY 1
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+#elif defined(PYSTON_VERSION)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 1
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #undef CYTHON_USE_ASYNC_SLOTS
+  #define CYTHON_USE_ASYNC_SLOTS 0
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+#else
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYTYPE_LOOKUP
+    #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
+    #define CYTHON_USE_PYTYPE_LOOKUP 1
+  #endif
+  #if PY_MAJOR_VERSION < 3
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #if PY_VERSION_HEX < 0x02070000
+    #undef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 0
+  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
+    #define CYTHON_USE_PYLONG_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_PYLIST_INTERNALS
+    #define CYTHON_USE_PYLIST_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #if PY_VERSION_HEX < 0x030300F0
+    #undef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #elif !defined(CYTHON_USE_UNICODE_WRITER)
+    #define CYTHON_USE_UNICODE_WRITER 1
+  #endif
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #ifndef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 1
+  #endif
+  #ifndef CYTHON_FAST_PYCALL
+    #define CYTHON_FAST_PYCALL 1
+  #endif
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT (0 && PY_VERSION_HEX >= 0x03050000)
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
+  #endif
+#endif
+#if !defined(CYTHON_FAST_PYCCALL)
+#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
+#endif
+#if CYTHON_USE_PYLONG_INTERNALS
+  #include "longintrepr.h"
+  #undef SHIFT
+  #undef BASE
+  #undef MASK
+#endif
+#ifndef __has_attribute
+  #define __has_attribute(x) 0
+#endif
+#ifndef __has_cpp_attribute
+  #define __has_cpp_attribute(x) 0
+#endif
+#ifndef CYTHON_RESTRICT
+  #if defined(__GNUC__)
+    #define CYTHON_RESTRICT __restrict__
+  #elif defined(_MSC_VER) && _MSC_VER >= 1400
+    #define CYTHON_RESTRICT __restrict
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_RESTRICT restrict
+  #else
+    #define CYTHON_RESTRICT
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+# if defined(__GNUC__)
+#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
+#     define CYTHON_UNUSED __attribute__ ((__unused__))
+#   else
+#     define CYTHON_UNUSED
+#   endif
+# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
+#   define CYTHON_UNUSED __attribute__ ((__unused__))
+# else
+#   define CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_MAYBE_UNUSED_VAR
+#  if defined(__cplusplus)
+     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
+#  else
+#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
+#  endif
+#endif
+#ifndef CYTHON_NCP_UNUSED
+# if CYTHON_COMPILING_IN_CPYTHON
+#  define CYTHON_NCP_UNUSED
+# else
+#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
+# endif
+#endif
+#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
+#ifdef _MSC_VER
+    #ifndef _MSC_STDINT_H_
+        #if _MSC_VER < 1300
+           typedef unsigned char     uint8_t;
+           typedef unsigned int      uint32_t;
+        #else
+           typedef unsigned __int8   uint8_t;
+           typedef unsigned __int32  uint32_t;
+        #endif
+    #endif
+#else
+   #include <stdint.h>
+#endif
+#ifndef CYTHON_FALLTHROUGH
+  #if defined(__cplusplus) && __cplusplus >= 201103L
+    #if __has_cpp_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH [[fallthrough]]
+    #elif __has_cpp_attribute(clang::fallthrough)
+      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
+    #elif __has_cpp_attribute(gnu::fallthrough)
+      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
+    #endif
+  #endif
+  #ifndef CYTHON_FALLTHROUGH
+    #if __has_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
+    #else
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+  #if defined(__clang__ ) && defined(__apple_build_version__)
+    #if __apple_build_version__ < 7000000
+      #undef  CYTHON_FALLTHROUGH
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+#endif
+
+#ifndef CYTHON_INLINE
+  #if defined(__clang__)
+    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
+  #elif defined(__GNUC__)
+    #define CYTHON_INLINE __inline__
+  #elif defined(_MSC_VER)
+    #define CYTHON_INLINE __inline
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_INLINE inline
+  #else
+    #define CYTHON_INLINE
+  #endif
+#endif
+
+#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
+  #define Py_OptimizeFlag 0
+#endif
+#define __PYX_BUILD_PY_SSIZE_T "n"
+#define CYTHON_FORMAT_SSIZE_T "z"
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyClass_Type
+#else
+  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
+  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyType_Type
+#endif
+#ifndef Py_TPFLAGS_CHECKTYPES
+  #define Py_TPFLAGS_CHECKTYPES 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_INDEX
+  #define Py_TPFLAGS_HAVE_INDEX 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
+  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_FINALIZE
+  #define Py_TPFLAGS_HAVE_FINALIZE 0
+#endif
+#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
+  #ifndef METH_FASTCALL
+     #define METH_FASTCALL 0x80
+  #endif
+  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
+  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
+                                                          Py_ssize_t nargs, PyObject *kwnames);
+#else
+  #define __Pyx_PyCFunctionFast _PyCFunctionFast
+  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
+#endif
+#if CYTHON_FAST_PYCCALL
+#define __Pyx_PyFastCFunction_Check(func)\
+    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)))))
+#else
+#define __Pyx_PyFastCFunction_Check(func) 0
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
+  #define PyObject_Malloc(s)   PyMem_Malloc(s)
+  #define PyObject_Free(p)     PyMem_Free(p)
+  #define PyObject_Realloc(p)  PyMem_Realloc(p)
+#endif
+#if CYTHON_COMPILING_IN_PYSTON
+  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
+#else
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
+#endif
+#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#elif PY_VERSION_HEX >= 0x03060000
+  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
+#elif PY_VERSION_HEX >= 0x03000000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#else
+  #define __Pyx_PyThreadState_Current _PyThreadState_Current
+#endif
+#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
+#include "pythread.h"
+#define Py_tss_NEEDS_INIT 0
+typedef int Py_tss_t;
+static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
+  *key = PyThread_create_key();
+  return 0; // PyThread_create_key reports success always
+}
+static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
+  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
+  *key = Py_tss_NEEDS_INIT;
+  return key;
+}
+static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
+  PyObject_Free(key);
+}
+static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
+  return *key != Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
+  PyThread_delete_key(*key);
+  *key = Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
+  return PyThread_set_key_value(*key, value);
+}
+static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
+  return PyThread_get_key_value(*key);
+}
+#endif // TSS (Thread Specific Storage) API
+#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
+#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
+#else
+#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
+#endif
+#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
+#else
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
+#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
+#else
+#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
+#endif
+#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
+  #define CYTHON_PEP393_ENABLED 1
+  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
+                                              0 : _PyUnicode_Ready((PyObject *)(op)))
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
+  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
+  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
+#else
+  #define CYTHON_PEP393_ENABLED 0
+  #define PyUnicode_1BYTE_KIND  1
+  #define PyUnicode_2BYTE_KIND  2
+  #define PyUnicode_4BYTE_KIND  4
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
+  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
+#else
+  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
+      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
+  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
+  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
+  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
+#endif
+#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
+#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
+#else
+  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
+#endif
+#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
+  #define PyObject_ASCII(o)            PyObject_Repr(o)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBaseString_Type            PyUnicode_Type
+  #define PyStringObject               PyUnicodeObject
+  #define PyString_Type                PyUnicode_Type
+  #define PyString_Check               PyUnicode_Check
+  #define PyString_CheckExact          PyUnicode_CheckExact
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
+  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
+#else
+  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
+  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
+#endif
+#ifndef PySet_CheckExact
+  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
+#endif
+#if CYTHON_ASSUME_SAFE_MACROS
+  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
+#else
+  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyIntObject                  PyLongObject
+  #define PyInt_Type                   PyLong_Type
+  #define PyInt_Check(op)              PyLong_Check(op)
+  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
+  #define PyInt_FromString             PyLong_FromString
+  #define PyInt_FromUnicode            PyLong_FromUnicode
+  #define PyInt_FromLong               PyLong_FromLong
+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
+  #define PyInt_AsLong                 PyLong_AsLong
+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
+  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
+  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
+  #define PyNumber_Int                 PyNumber_Long
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBoolObject                 PyLongObject
+#endif
+#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
+  #ifndef PyUnicode_InternFromString
+    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
+  #endif
+#endif
+#if PY_VERSION_HEX < 0x030200A4
+  typedef long Py_hash_t;
+  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
+#else
+  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
+  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
+#else
+  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
+#endif
+#if CYTHON_USE_ASYNC_SLOTS
+  #if PY_VERSION_HEX >= 0x030500B1
+    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
+    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
+  #else
+    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
+  #endif
+#else
+  #define __Pyx_PyType_AsAsync(obj) NULL
+#endif
+#ifndef __Pyx_PyAsyncMethodsStruct
+    typedef struct {
+        unaryfunc am_await;
+        unaryfunc am_aiter;
+        unaryfunc am_anext;
+    } __Pyx_PyAsyncMethodsStruct;
+#endif
+
+#if defined(WIN32) || defined(MS_WINDOWS)
+  #define _USE_MATH_DEFINES
+#endif
+#include <math.h>
+#ifdef NAN
+#define __PYX_NAN() ((float) NAN)
+#else
+static CYTHON_INLINE float __PYX_NAN() {
+  float value;
+  memset(&value, 0xFF, sizeof(value));
+  return value;
+}
+#endif
+#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
+#define __Pyx_truncl trunc
+#else
+#define __Pyx_truncl truncl
+#endif
+
+
+#define __PYX_ERR(f_index, lineno, Ln_error) \
+{ \
+  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
+}
+
+#ifndef __PYX_EXTERN_C
+  #ifdef __cplusplus
+    #define __PYX_EXTERN_C extern "C"
+  #else
+    #define __PYX_EXTERN_C extern
+  #endif
+#endif
+
+#define __PYX_HAVE__mesh_core_cython
+#define __PYX_HAVE_API__mesh_core_cython
+/* Early includes */
+#include <string.h>
+#include <stdio.h>
+#include "numpy/arrayobject.h"
+#include "numpy/ufuncobject.h"
+#include "ios"
+#include "new"
+#include "stdexcept"
+#include "typeinfo"
+#include <string>
+#include "mesh_core.h"
+#ifdef _OPENMP
+#include <omp.h>
+#endif /* _OPENMP */
+
+#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
+#define CYTHON_WITHOUT_ASSERTIONS
+#endif
+
+typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
+                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
+
+#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
+#define __PYX_DEFAULT_STRING_ENCODING ""
+#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
+#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#define __Pyx_uchar_cast(c) ((unsigned char)c)
+#define __Pyx_long_cast(x) ((long)x)
+#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
+    (sizeof(type) < sizeof(Py_ssize_t))  ||\
+    (sizeof(type) > sizeof(Py_ssize_t) &&\
+          likely(v < (type)PY_SSIZE_T_MAX ||\
+                 v == (type)PY_SSIZE_T_MAX)  &&\
+          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
+                                v == (type)PY_SSIZE_T_MIN)))  ||\
+    (sizeof(type) == sizeof(Py_ssize_t) &&\
+          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
+                               v == (type)PY_SSIZE_T_MAX)))  )
+#if defined (__cplusplus) && __cplusplus >= 201103L
+    #include <cstdlib>
+    #define __Pyx_sst_abs(value) std::abs(value)
+#elif SIZEOF_INT >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) abs(value)
+#elif SIZEOF_LONG >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) labs(value)
+#elif defined (_MSC_VER)
+    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
+#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define __Pyx_sst_abs(value) llabs(value)
+#elif defined (__GNUC__)
+    #define __Pyx_sst_abs(value) __builtin_llabs(value)
+#else
+    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
+#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
+#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
+#define __Pyx_PyBytes_FromString        PyBytes_FromString
+#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
+#if PY_MAJOR_VERSION < 3
+    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#else
+    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
+#endif
+#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
+#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
+#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
+#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
+static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
+    const Py_UNICODE *u_end = u;
+    while (*u_end++) ;
+    return (size_t)(u_end - u - 1);
+}
+#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
+#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
+#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
+#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
+#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
+#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
+#define __Pyx_PySequence_Tuple(obj)\
+    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+#if CYTHON_ASSUME_SAFE_MACROS
+#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
+#else
+#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
+#endif
+#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
+#else
+#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
+#endif
+#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+static int __Pyx_sys_getdefaultencoding_not_ascii;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
+
+static PyObject *__pyx_m = NULL;
+static PyObject *__pyx_d;
+static PyObject *__pyx_b;
+static PyObject *__pyx_cython_runtime;
+static PyObject *__pyx_empty_tuple;
+static PyObject *__pyx_empty_bytes;
+static PyObject *__pyx_empty_unicode;
+static int __pyx_lineno;
+static int __pyx_clineno = 0;
+static const char * __pyx_cfilenm= __FILE__;
+static const char *__pyx_filename;
+
+/* Header.proto */
+#if !defined(CYTHON_CCOMPLEX)
+  #if defined(__cplusplus)
+    #define CYTHON_CCOMPLEX 1
+  #elif defined(_Complex_I)
+    #define CYTHON_CCOMPLEX 1
+  #else
+    #define CYTHON_CCOMPLEX 0
+  #endif
+#endif
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #include <complex>
+  #else
+    #include <complex.h>
+  #endif
+#endif
+#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
+  #undef _Complex_I
+  #define _Complex_I 1.0fj
+#endif
+
+
+static const char *__pyx_f[] = {
+  "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx",
+  "__init__.pxd",
+  "stringsource",
+  "type.pxd",
+};
+/* BufferFormatStructs.proto */
+#define IS_UNSIGNED(type) (((type) -1) > 0)
+struct __Pyx_StructField_;
+#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
+typedef struct {
+  const char* name;
+  struct __Pyx_StructField_* fields;
+  size_t size;
+  size_t arraysize[8];
+  int ndim;
+  char typegroup;
+  char is_unsigned;
+  int flags;
+} __Pyx_TypeInfo;
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  size_t new_count, enc_count;
+  size_t struct_alignment;
+  int is_complex;
+  char enc_type;
+  char new_packmode;
+  char enc_packmode;
+  char is_valid_array;
+} __Pyx_BufFmt_Context;
+
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":730
+ * # in Cython to enable them only on the right systems.
+ * 
+ * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t
+ */
+typedef npy_int8 __pyx_t_5numpy_int8_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":731
+ * 
+ * ctypedef npy_int8       int8_t
+ * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int32      int32_t
+ * ctypedef npy_int64      int64_t
+ */
+typedef npy_int16 __pyx_t_5numpy_int16_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":732
+ * ctypedef npy_int8       int8_t
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int64      int64_t
+ * #ctypedef npy_int96      int96_t
+ */
+typedef npy_int32 __pyx_t_5numpy_int32_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":733
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t
+ * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_int96      int96_t
+ * #ctypedef npy_int128     int128_t
+ */
+typedef npy_int64 __pyx_t_5numpy_int64_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":737
+ * #ctypedef npy_int128     int128_t
+ * 
+ * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t
+ */
+typedef npy_uint8 __pyx_t_5numpy_uint8_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":738
+ * 
+ * ctypedef npy_uint8      uint8_t
+ * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint32     uint32_t
+ * ctypedef npy_uint64     uint64_t
+ */
+typedef npy_uint16 __pyx_t_5numpy_uint16_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":739
+ * ctypedef npy_uint8      uint8_t
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint64     uint64_t
+ * #ctypedef npy_uint96     uint96_t
+ */
+typedef npy_uint32 __pyx_t_5numpy_uint32_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":740
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t
+ * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_uint96     uint96_t
+ * #ctypedef npy_uint128    uint128_t
+ */
+typedef npy_uint64 __pyx_t_5numpy_uint64_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":744
+ * #ctypedef npy_uint128    uint128_t
+ * 
+ * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_float64    float64_t
+ * #ctypedef npy_float80    float80_t
+ */
+typedef npy_float32 __pyx_t_5numpy_float32_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":745
+ * 
+ * ctypedef npy_float32    float32_t
+ * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_float80    float80_t
+ * #ctypedef npy_float128   float128_t
+ */
+typedef npy_float64 __pyx_t_5numpy_float64_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":754
+ * # The int types are mapped a bit surprising --
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+ * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_longlong   long_t
+ * ctypedef npy_longlong   longlong_t
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+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":755
+ * # numpy.int corresponds to 'l' and numpy.long to 'q'
+ * ctypedef npy_long       int_t
+ * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_longlong   longlong_t
+ * 
+ */
+typedef npy_longlong __pyx_t_5numpy_long_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":756
+ * ctypedef npy_long       int_t
+ * ctypedef npy_longlong   long_t
+ * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef npy_ulong      uint_t
+ */
+typedef npy_longlong __pyx_t_5numpy_longlong_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":758
+ * ctypedef npy_longlong   longlong_t
+ * 
+ * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_ulonglong  ulong_t
+ * ctypedef npy_ulonglong  ulonglong_t
+ */
+typedef npy_ulong __pyx_t_5numpy_uint_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":759
+ * 
+ * ctypedef npy_ulong      uint_t
+ * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_ulonglong  ulonglong_t
+ * 
+ */
+typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
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+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":760
+ * ctypedef npy_ulong      uint_t
+ * ctypedef npy_ulonglong  ulong_t
+ * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef npy_intp       intp_t
+ */
+typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":762
+ * ctypedef npy_ulonglong  ulonglong_t
+ * 
+ * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uintp      uintp_t
+ * 
+ */
+typedef npy_intp __pyx_t_5numpy_intp_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":763
+ * 
+ * ctypedef npy_intp       intp_t
+ * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef npy_double     float_t
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+typedef npy_uintp __pyx_t_5numpy_uintp_t;
+
+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":765
+ * ctypedef npy_uintp      uintp_t
+ * 
+ * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_double     double_t
+ * ctypedef npy_longdouble longdouble_t
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+/* "../../../../jack_ssd/home/jack/anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":766
+ * 
+ * ctypedef npy_double     float_t
+ * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_longdouble longdouble_t
+ * 
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+ * ctypedef npy_double     double_t
+ * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
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+/* ParseKeywords.proto */
+static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
+    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
+    const char* function_name);
+
+/* ArgTypeTest.proto */
+#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
+    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
+        __Pyx__ArgTypeTest(obj, type, name, exact))
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
+
+/* IsLittleEndian.proto */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);
+
+/* BufferFormatCheck.proto */
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type);
+
+/* BufferGetAndValidate.proto */
+#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
+    ((obj == Py_None || obj == NULL) ?\
+    (__Pyx_ZeroBuffer(buf), 0) :\
+    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
+static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
+    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
+static void __Pyx_ZeroBuffer(Py_buffer* buf);
+static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
+static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
+static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };
+
+/* PyThreadStateGet.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
+#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
+#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
+#else
+#define __Pyx_PyThreadState_declare
+#define __Pyx_PyThreadState_assign
+#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
+#endif
+
+/* PyErrFetchRestore.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
+#else
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#endif
+#else
+#define __Pyx_PyErr_Clear() PyErr_Clear()
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
+#endif
+
+/* PyObjectGetAttrStr.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
+#endif
+
+/* GetBuiltinName.proto */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name);
+
+/* PyObjectCall.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
+#else
+#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
+#endif
+
+/* RaiseException.proto */
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
+
+/* PyCFunctionFastCall.proto */
+#if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
+#else
+#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
+#endif
+
+/* PyFunctionFastCall.proto */
+#if CYTHON_FAST_PYCALL
+#define __Pyx_PyFunction_FastCall(func, args, nargs)\
+    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs);
+#else
+#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
+#endif
+#endif
+
+/* PyObjectCallMethO.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
+#endif
+
+/* PyObjectCallOneArg.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
+
+/* DictGetItem.proto */
+#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
+static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
+#define __Pyx_PyObject_Dict_GetItem(obj, name)\
+    (likely(PyDict_CheckExact(obj)) ?\
+     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
+#else
+#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
+#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
+#endif
+
+/* RaiseTooManyValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
+
+/* RaiseNeedMoreValuesToUnpack.proto */
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+/* RaiseNoneIterError.proto */
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+/* ExtTypeTest.proto */
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
+
+/* SaveResetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+#else
+#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
+#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
+#endif
+
+/* PyErrExceptionMatches.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
+#else
+#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
+#endif
+
+/* GetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* Import.proto */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
+
+/* CLineInTraceback.proto */
+#ifdef CYTHON_CLINE_IN_TRACEBACK
+#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
+#else
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
+#endif
+
+/* CodeObjectCache.proto */
+typedef struct {
+    PyCodeObject* code_object;
+    int code_line;
+} __Pyx_CodeObjectCacheEntry;
+struct __Pyx_CodeObjectCache {
+    int count;
+    int max_count;
+    __Pyx_CodeObjectCacheEntry* entries;
+};
+static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
+static PyCodeObject *__pyx_find_code_object(int code_line);
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
+
+/* AddTraceback.proto */
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename);
+
+/* BufferStructDeclare.proto */
+typedef struct {
+  Py_ssize_t shape, strides, suboffsets;
+} __Pyx_Buf_DimInfo;
+typedef struct {
+  size_t refcount;
+  Py_buffer pybuffer;
+} __Pyx_Buffer;
+typedef struct {
+  __Pyx_Buffer *rcbuffer;
+  char *data;
+  __Pyx_Buf_DimInfo diminfo[8];
+} __Pyx_LocalBuf_ND;
+
+#if PY_MAJOR_VERSION < 3
+    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+    static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+    #define __Pyx_GetBuffer PyObject_GetBuffer
+    #define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+
+/* RealImag.proto */
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #define __Pyx_CREAL(z) ((z).real())
+    #define __Pyx_CIMAG(z) ((z).imag())
+  #else
+    #define __Pyx_CREAL(z) (__real__(z))
+    #define __Pyx_CIMAG(z) (__imag__(z))
+  #endif
+#else
+    #define __Pyx_CREAL(z) ((z).real)
+    #define __Pyx_CIMAG(z) ((z).imag)
+#endif
+#if defined(__cplusplus) && CYTHON_CCOMPLEX\
+        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
+    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
+    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
+#else
+    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
+    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_float(a, b) ((a)-(b))
+    #define __Pyx_c_prod_float(a, b) ((a)*(b))
+    #define __Pyx_c_quot_float(a, b) ((a)/(b))
+    #define __Pyx_c_neg_float(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
+    #define __Pyx_c_conj_float(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (::std::abs(z))
+        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_float(z) ((z)==0)
+    #define __Pyx_c_conj_float(z)    (conjf(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (cabsf(z))
+        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    #endif
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_double(a, b) ((a)-(b))
+    #define __Pyx_c_prod_double(a, b) ((a)*(b))
+    #define __Pyx_c_quot_double(a, b) ((a)/(b))
+    #define __Pyx_c_neg_double(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
+    #define __Pyx_c_conj_double(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (::std::abs(z))
+        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_double(z) ((z)==0)
+    #define __Pyx_c_conj_double(z)    (conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (cabs(z))
+        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    #endif
+#endif
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
+
+/* FastTypeChecks.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
+#else
+#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
+#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
+#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
+#endif
+#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
+
+/* CheckBinaryVersion.proto */
+static int __Pyx_check_binary_version(void);
+
+/* PyIdentifierFromString.proto */
+#if !defined(__Pyx_PyIdentifier_FromString)
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
+#else
+  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
+#endif
+#endif
+
+/* ModuleImport.proto */
+static PyObject *__Pyx_ImportModule(const char *name);
+
+/* TypeImport.proto */
+static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);
+
+/* InitStrings.proto */
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
+
+
+/* Module declarations from 'cpython.buffer' */
+
+/* Module declarations from 'libc.string' */
+
+/* Module declarations from 'libc.stdio' */
+
+/* Module declarations from '__builtin__' */
+
+/* Module declarations from 'cpython.type' */
+static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;
+
+/* Module declarations from 'cpython' */
+
+/* Module declarations from 'cpython.object' */
+
+/* Module declarations from 'cpython.ref' */
+
+/* Module declarations from 'cpython.mem' */
+
+/* Module declarations from 'numpy' */
+
+/* Module declarations from 'numpy' */
+static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
+static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
+static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
+static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
+static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
+static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
+static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/
+
+/* Module declarations from 'libcpp.string' */
+
+/* Module declarations from 'mesh_core_cython' */
+static std::string __pyx_convert_string_from_py_std__in_string(PyObject *); /*proto*/
+static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
+#define __Pyx_MODULE_NAME "mesh_core_cython"
+extern int __pyx_module_is_main_mesh_core_cython;
+int __pyx_module_is_main_mesh_core_cython = 0;
+
+/* Implementation of 'mesh_core_cython' */
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_RuntimeError;
+static PyObject *__pyx_builtin_ImportError;
+static const char __pyx_k_c[] = "c";
+static const char __pyx_k_h[] = "h";
+static const char __pyx_k_w[] = "w";
+static const char __pyx_k_np[] = "np";
+static const char __pyx_k_main[] = "__main__";
+static const char __pyx_k_ntri[] = "ntri";
+static const char __pyx_k_nver[] = "nver";
+static const char __pyx_k_test[] = "__test__";
+static const char __pyx_k_image[] = "image";
+static const char __pyx_k_numpy[] = "numpy";
+static const char __pyx_k_range[] = "range";
+static const char __pyx_k_tex_c[] = "tex_c";
+static const char __pyx_k_tex_h[] = "tex_h";
+static const char __pyx_k_tex_w[] = "tex_w";
+static const char __pyx_k_colors[] = "colors";
+static const char __pyx_k_import[] = "__import__";
+static const char __pyx_k_normal[] = "normal";
+static const char __pyx_k_ntexver[] = "ntexver";
+static const char __pyx_k_texture[] = "texture";
+static const char __pyx_k_filename[] = "filename";
+static const char __pyx_k_mtl_name[] = "mtl_name";
+static const char __pyx_k_tex_nver[] = "tex_nver";
+static const char __pyx_k_vertices[] = "vertices";
+static const char __pyx_k_triangles[] = "triangles";
+static const char __pyx_k_uv_coords[] = "uv_coords";
+static const char __pyx_k_ValueError[] = "ValueError";
+static const char __pyx_k_tex_coords[] = "tex_coords";
+static const char __pyx_k_tri_normal[] = "tri_normal";
+static const char __pyx_k_ImportError[] = "ImportError";
+static const char __pyx_k_RuntimeError[] = "RuntimeError";
+static const char __pyx_k_depth_buffer[] = "depth_buffer";
+static const char __pyx_k_mapping_type[] = "mapping_type";
+static const char __pyx_k_tex_triangles[] = "tex_triangles";
+static const char __pyx_k_get_normal_core[] = "get_normal_core";
+static const char __pyx_k_triangle_buffer[] = "triangle_buffer";
+static const char __pyx_k_mesh_core_cython[] = "mesh_core_cython";
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+static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
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+static const char __pyx_k_write_obj_with_colors_texture_co[] = "write_obj_with_colors_texture_core";
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+static PyObject *__pyx_n_s_colors;
+static PyObject *__pyx_n_s_depth_buffer;
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+static PyObject *__pyx_n_s_get_normal_core;
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+static PyObject *__pyx_n_s_import;
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+static PyObject *__pyx_n_s_main;
+static PyObject *__pyx_n_s_mapping_type;
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+static PyObject *__pyx_n_s_range;
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+static PyObject *__pyx_n_s_render_colors_core;
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+static PyObject *__pyx_n_s_w;
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+static PyObject *__pyx_codeobj__15;
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+/* "mesh_core_cython.pyx":40
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+  /* "mesh_core_cython.pyx":79
+ *         h, w, c)
+ * 
+ * def render_texture_core(np.ndarray[float, ndim=3, mode = "c"] image not None,             # <<<<<<<<<<<<<<
+ *                 np.ndarray[float, ndim=2, mode = "c"] vertices not None,
+ *                 np.ndarray[int, ndim=2, mode="c"] triangles not None,
+ */
+  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_16mesh_core_cython_7render_texture_core, NULL, __pyx_n_s_mesh_core_cython); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 79, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_render_texture_core, __pyx_t_1) < 0) __PYX_ERR(0, 79, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+  /* "mesh_core_cython.pyx":100
+ *         mapping_type)
+ * 
+ * def write_obj_with_colors_texture_core(string filename, string mtl_name,             # <<<<<<<<<<<<<<
+ *                 np.ndarray[float, ndim=2, mode = "c"] vertices not None,
+ *                 np.ndarray[int, ndim=2, mode="c"] triangles not None,
+ */
+  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_16mesh_core_cython_9write_obj_with_colors_texture_core, NULL, __pyx_n_s_mesh_core_cython); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 100, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_write_obj_with_colors_texture_co, __pyx_t_1) < 0) __PYX_ERR(0, 100, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+  /* "mesh_core_cython.pyx":1
+ * import numpy as np             # <<<<<<<<<<<<<<
+ * cimport numpy as np
+ * from libcpp.string cimport string
+ */
+  __pyx_t_1 = __Pyx_PyDict_NewPresized(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)
+  __Pyx_GOTREF(__pyx_t_1);
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
+  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+
+  /* "string.from_py":13
+ * 
+ * @cname("__pyx_convert_string_from_py_std__in_string")
+ * cdef string __pyx_convert_string_from_py_std__in_string(object o) except *:             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t length
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)
+ */
+
+  /*--- Wrapped vars code ---*/
+
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  if (__pyx_m) {
+    if (__pyx_d) {
+      __Pyx_AddTraceback("init mesh_core_cython", 0, __pyx_lineno, __pyx_filename);
+    }
+    Py_DECREF(__pyx_m); __pyx_m = 0;
+  } else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_ImportError, "init mesh_core_cython");
+  }
+  __pyx_L0:;
+  __Pyx_RefNannyFinishContext();
+  #if CYTHON_PEP489_MULTI_PHASE_INIT
+  return (__pyx_m != NULL) ? 0 : -1;
+  #elif PY_MAJOR_VERSION >= 3
+  return __pyx_m;
+  #else
+  return;
+  #endif
+}
+
+/* --- Runtime support code --- */
+/* Refnanny */
+#if CYTHON_REFNANNY
+static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
+    PyObject *m = NULL, *p = NULL;
+    void *r = NULL;
+    m = PyImport_ImportModule((char *)modname);
+    if (!m) goto end;
+    p = PyObject_GetAttrString(m, (char *)"RefNannyAPI");
+    if (!p) goto end;
+    r = PyLong_AsVoidPtr(p);
+end:
+    Py_XDECREF(p);
+    Py_XDECREF(m);
+    return (__Pyx_RefNannyAPIStruct *)r;
+}
+#endif
+
+/* RaiseArgTupleInvalid */
+static void __Pyx_RaiseArgtupleInvalid(
+    const char* func_name,
+    int exact,
+    Py_ssize_t num_min,
+    Py_ssize_t num_max,
+    Py_ssize_t num_found)
+{
+    Py_ssize_t num_expected;
+    const char *more_or_less;
+    if (num_found < num_min) {
+        num_expected = num_min;
+        more_or_less = "at least";
+    } else {
+        num_expected = num_max;
+        more_or_less = "at most";
+    }
+    if (exact) {
+        more_or_less = "exactly";
+    }
+    PyErr_Format(PyExc_TypeError,
+                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                 func_name, more_or_less, num_expected,
+                 (num_expected == 1) ? "" : "s", num_found);
+}
+
+/* RaiseDoubleKeywords */
+static void __Pyx_RaiseDoubleKeywordsError(
+    const char* func_name,
+    PyObject* kw_name)
+{
+    PyErr_Format(PyExc_TypeError,
+        #if PY_MAJOR_VERSION >= 3
+        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
+        #else
+        "%s() got multiple values for keyword argument '%s'", func_name,
+        PyString_AsString(kw_name));
+        #endif
+}
+
+/* ParseKeywords */
+static int __Pyx_ParseOptionalKeywords(
+    PyObject *kwds,
+    PyObject **argnames[],
+    PyObject *kwds2,
+    PyObject *values[],
+    Py_ssize_t num_pos_args,
+    const char* function_name)
+{
+    PyObject *key = 0, *value = 0;
+    Py_ssize_t pos = 0;
+    PyObject*** name;
+    PyObject*** first_kw_arg = argnames + num_pos_args;
+    while (PyDict_Next(kwds, &pos, &key, &value)) {
+        name = first_kw_arg;
+        while (*name && (**name != key)) name++;
+        if (*name) {
+            values[name-argnames] = value;
+            continue;
+        }
+        name = first_kw_arg;
+        #if PY_MAJOR_VERSION < 3
+        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
+            while (*name) {
+                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
+                        && _PyString_Eq(**name, key)) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    if ((**argname == key) || (
+                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
+                             && _PyString_Eq(**argname, key))) {
+                        goto arg_passed_twice;
+                    }
+                    argname++;
+                }
+            }
+        } else
+        #endif
+        if (likely(PyUnicode_Check(key))) {
+            while (*name) {
+                int cmp = (**name == key) ? 0 :
+                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
+                #endif
+                    PyUnicode_Compare(**name, key);
+                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                if (cmp == 0) {
+                    values[name-argnames] = value;
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    int cmp = (**argname == key) ? 0 :
+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
+                    #endif
+                        PyUnicode_Compare(**argname, key);
+                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                    if (cmp == 0) goto arg_passed_twice;
+                    argname++;
+                }
+            }
+        } else
+            goto invalid_keyword_type;
+        if (kwds2) {
+            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+        } else {
+            goto invalid_keyword;
+        }
+    }
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, key);
+    goto bad;
+invalid_keyword_type:
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() keywords must be strings", function_name);
+    goto bad;
+invalid_keyword:
+    PyErr_Format(PyExc_TypeError,
+    #if PY_MAJOR_VERSION < 3
+        "%.200s() got an unexpected keyword argument '%.200s'",
+        function_name, PyString_AsString(key));
+    #else
+        "%s() got an unexpected keyword argument '%U'",
+        function_name, key);
+    #endif
+bad:
+    return -1;
+}
+
+/* ArgTypeTest */
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
+{
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    else if (exact) {
+        #if PY_MAJOR_VERSION == 2
+        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
+        #endif
+    }
+    else {
+        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
+    }
+    PyErr_Format(PyExc_TypeError,
+        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
+        name, type->tp_name, Py_TYPE(obj)->tp_name);
+    return 0;
+}
+
+/* IsLittleEndian */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
+{
+  union {
+    uint32_t u32;
+    uint8_t u8[4];
+  } S;
+  S.u32 = 0x01020304;
+  return S.u8[0] == 4;
+}
+
+/* BufferFormatCheck */
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->new_packmode = '@';
+  ctx->enc_packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  ctx->is_valid_array = 0;
+  ctx->struct_alignment = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t < '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
+    int number = __Pyx_BufFmt_ParseNumber(ts);
+    if (number == -1)
+        PyErr_Format(PyExc_ValueError,\
+                     "Does not understand character buffer dtype format string ('%c')", **ts);
+    return number;
+}
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  PyErr_Format(PyExc_ValueError,
+               "Unexpected format string character: '%c'", ch);
+}
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case 'c': return "'char'";
+    case 'b': return "'signed char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 's': case 'p': return "a string";
+    case 0: return "end";
+    default: return "unparseable format string";
+  }
+}
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+/* These are for computing the padding at the end of the struct to align
+   on the first member of the struct. This will probably the same as above,
+   but we don't have any guarantees.
+ */
+typedef struct { short x; char c; } __Pyx_pad_short;
+typedef struct { int x; char c; } __Pyx_pad_int;
+typedef struct { long x; char c; } __Pyx_pad_long;
+typedef struct { float x; char c; } __Pyx_pad_float;
+typedef struct { double x; char c; } __Pyx_pad_double;
+typedef struct { long double x; char c; } __Pyx_pad_longdouble;
+typedef struct { void *x; char c; } __Pyx_pad_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c':
+        return 'H';
+    case 'b': case 'h': case 'i':
+    case 'l': case 'q': case 's': case 'p':
+        return 'I';
+    case 'B': case 'H': case 'I': case 'L': case 'Q':
+        return 'U';
+    case 'f': case 'd': case 'g':
+        return (is_complex ? 'C' : 'R');
+    case 'O':
+        return 'O';
+    case 'P':
+        return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset, arraysize = 1;
+  if (ctx->enc_type == 0) return 0;
+  if (ctx->head->field->type->arraysize[0]) {
+    int i, ndim = 0;
+    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
+        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
+        ndim = 1;
+        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
+            PyErr_Format(PyExc_ValueError,
+                         "Expected a dimension of size %zu, got %zu",
+                         ctx->head->field->type->arraysize[0], ctx->enc_count);
+            return -1;
+        }
+    }
+    if (!ctx->is_valid_array) {
+      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
+                   ctx->head->field->type->ndim, ndim);
+      return -1;
+    }
+    for (i = 0; i < ctx->head->field->type->ndim; i++) {
+      arraysize *= ctx->head->field->type->arraysize[i];
+    }
+    ctx->is_valid_array = 0;
+    ctx->enc_count = 1;
+  }
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->enc_packmode == '@') {
+      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      size_t align_mod_offset;
+      if (align_at == 0) return -1;
+      align_mod_offset = ctx->fmt_offset % align_at;
+      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
+      if (ctx->struct_alignment == 0)
+          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
+                                                                 ctx->is_complex);
+    }
+    if (type->size != size || type->typegroup != group) {
+      if (type->typegroup == 'C' && type->fields != NULL) {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        ++ctx->head;
+        ctx->head->field = type->fields;
+        ctx->head->parent_offset = parent_offset;
+        continue;
+      }
+      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
+      } else {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+      }
+    }
+    offset = ctx->head->parent_offset + field->offset;
+    if (ctx->fmt_offset != offset) {
+      PyErr_Format(PyExc_ValueError,
+                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
+                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
+      return -1;
+    }
+    ctx->fmt_offset += size;
+    if (arraysize)
+      ctx->fmt_offset += (arraysize - 1) * size;
+    --ctx->enc_count;
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break;
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue;
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;
+}
+static PyObject *
+__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
+{
+    const char *ts = *tsp;
+    int i = 0, number;
+    int ndim = ctx->head->field->type->ndim;
+;
+    ++ts;
+    if (ctx->new_count != 1) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Cannot handle repeated arrays in format string");
+        return NULL;
+    }
+    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+    while (*ts && *ts != ')') {
+        switch (*ts) {
+            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
+            default:  break;
+        }
+        number = __Pyx_BufFmt_ExpectNumber(&ts);
+        if (number == -1) return NULL;
+        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
+            return PyErr_Format(PyExc_ValueError,
+                        "Expected a dimension of size %zu, got %d",
+                        ctx->head->field->type->arraysize[i], number);
+        if (*ts != ',' && *ts != ')')
+            return PyErr_Format(PyExc_ValueError,
+                                "Expected a comma in format string, got '%c'", *ts);
+        if (*ts == ',') ts++;
+        i++;
+    }
+    if (i != ndim)
+        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
+                            ctx->head->field->type->ndim, i);
+    if (!*ts) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Unexpected end of format string, expected ')'");
+        return NULL;
+    }
+    ctx->is_valid_array = 1;
+    ctx->new_count = 1;
+    *tsp = ++ts;
+    return Py_None;
+}
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
+  int got_Z = 0;
+  while (1) {
+    switch(*ts) {
+      case 0:
+        if (ctx->enc_type != 0 && ctx->head == NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        if (ctx->head != NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        return ts;
+      case ' ':
+      case '\r':
+      case '\n':
+        ++ts;
+        break;
+      case '<':
+        if (!__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        ctx->new_packmode = *ts++;
+        break;
+      case 'T':
+        {
+          const char* ts_after_sub;
+          size_t i, struct_count = ctx->new_count;
+          size_t struct_alignment = ctx->struct_alignment;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          ctx->enc_count = 0;
+          ctx->struct_alignment = 0;
+          ++ts;
+          ts_after_sub = ts;
+          for (i = 0; i != struct_count; ++i) {
+            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
+            if (!ts_after_sub) return NULL;
+          }
+          ts = ts_after_sub;
+          if (struct_alignment) ctx->struct_alignment = struct_alignment;
+        }
+        break;
+      case '}':
+        {
+          size_t alignment = ctx->struct_alignment;
+          ++ts;
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          if (alignment && ctx->fmt_offset % alignment) {
+            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
+          }
+        }
+        return ts;
+      case 'x':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->fmt_offset += ctx->new_count;
+        ctx->new_count = 1;
+        ctx->enc_count = 0;
+        ctx->enc_type = 0;
+        ctx->enc_packmode = ctx->new_packmode;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }
+        CYTHON_FALLTHROUGH;
+      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O': case 'p':
+        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
+            ctx->enc_packmode == ctx->new_packmode) {
+          ctx->enc_count += ctx->new_count;
+          ctx->new_count = 1;
+          got_Z = 0;
+          ++ts;
+          break;
+        }
+        CYTHON_FALLTHROUGH;
+      case 's':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->enc_count = ctx->new_count;
+        ctx->enc_packmode = ctx->new_packmode;
+        ctx->enc_type = *ts;
+        ctx->is_complex = got_Z;
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      case ':':
+        ++ts;
+        while(*ts != ':') ++ts;
+        ++ts;
+        break;
+      case '(':
+        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
+        break;
+      default:
+        {
+          int number = __Pyx_BufFmt_ExpectNumber(&ts);
+          if (number == -1) return NULL;
+          ctx->new_count = (size_t)number;
+        }
+    }
+  }
+}
+
+/* BufferGetAndValidate */
+  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
+  if (unlikely(info->buf == NULL)) return;
+  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
+  __Pyx_ReleaseBuffer(info);
+}
+static void __Pyx_ZeroBuffer(Py_buffer* buf) {
+  buf->buf = NULL;
+  buf->obj = NULL;
+  buf->strides = __Pyx_zeros;
+  buf->shape = __Pyx_zeros;
+  buf->suboffsets = __Pyx_minusones;
+}
+static int __Pyx__GetBufferAndValidate(
+        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
+        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
+{
+  buf->buf = NULL;
+  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
+    __Pyx_ZeroBuffer(buf);
+    return -1;
+  }
+  if (unlikely(buf->ndim != nd)) {
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer has wrong number of dimensions (expected %d, got %d)",
+                 nd, buf->ndim);
+    goto fail;
+  }
+  if (!cast) {
+    __Pyx_BufFmt_Context ctx;
+    __Pyx_BufFmt_Init(&ctx, stack, dtype);
+    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
+  }
+  if (unlikely((unsigned)buf->itemsize != dtype->size)) {
+    PyErr_Format(PyExc_ValueError,
+      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
+      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
+      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
+    goto fail;
+  }
+  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
+  return 0;
+fail:;
+  __Pyx_SafeReleaseBuffer(buf);
+  return -1;
+}
+
+/* PyErrFetchRestore */
+  #if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    tmp_type = tstate->curexc_type;
+    tmp_value = tstate->curexc_value;
+    tmp_tb = tstate->curexc_traceback;
+    tstate->curexc_type = type;
+    tstate->curexc_value = value;
+    tstate->curexc_traceback = tb;
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    *type = tstate->curexc_type;
+    *value = tstate->curexc_value;
+    *tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+}
+#endif
+
+/* PyObjectGetAttrStr */
+  #if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro))
+        return tp->tp_getattro(obj, attr_name);
+#if PY_MAJOR_VERSION < 3
+    if (likely(tp->tp_getattr))
+        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
+#endif
+    return PyObject_GetAttr(obj, attr_name);
+}
+#endif
+
+/* GetBuiltinName */
+  static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
+    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
+    if (unlikely(!result)) {
+        PyErr_Format(PyExc_NameError,
+#if PY_MAJOR_VERSION >= 3
+            "name '%U' is not defined", name);
+#else
+            "name '%.200s' is not defined", PyString_AS_STRING(name));
+#endif
+    }
+    return result;
+}
+
+/* PyObjectCall */
+  #if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+    PyObject *result;
+    ternaryfunc call = func->ob_type->tp_call;
+    if (unlikely(!call))
+        return PyObject_Call(func, arg, kw);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = (*call)(func, arg, kw);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* RaiseException */
+  #if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
+                        CYTHON_UNUSED PyObject *cause) {
+    __Pyx_PyThreadState_declare
+    Py_XINCREF(type);
+    if (!value || value == Py_None)
+        value = NULL;
+    else
+        Py_INCREF(value);
+    if (!tb || tb == Py_None)
+        tb = NULL;
+    else {
+        Py_INCREF(tb);
+        if (!PyTraceBack_Check(tb)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: arg 3 must be a traceback or None");
+            goto raise_error;
+        }
+    }
+    if (PyType_Check(type)) {
+#if CYTHON_COMPILING_IN_PYPY
+        if (!value) {
+            Py_INCREF(Py_None);
+            value = Py_None;
+        }
+#endif
+        PyErr_NormalizeException(&type, &value, &tb);
+    } else {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(type);
+        Py_INCREF(type);
+        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: exception class must be a subclass of BaseException");
+            goto raise_error;
+        }
+    }
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrRestore(type, value, tb);
+    return;
+raise_error:
+    Py_XDECREF(value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+    return;
+}
+#else
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    PyObject* owned_instance = NULL;
+    if (tb == Py_None) {
+        tb = 0;
+    } else if (tb && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto bad;
+    }
+    if (value == Py_None)
+        value = 0;
+    if (PyExceptionInstance_Check(type)) {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto bad;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(value);
+    } else if (PyExceptionClass_Check(type)) {
+        PyObject *instance_class = NULL;
+        if (value && PyExceptionInstance_Check(value)) {
+            instance_class = (PyObject*) Py_TYPE(value);
+            if (instance_class != type) {
+                int is_subclass = PyObject_IsSubclass(instance_class, type);
+                if (!is_subclass) {
+                    instance_class = NULL;
+                } else if (unlikely(is_subclass == -1)) {
+                    goto bad;
+                } else {
+                    type = instance_class;
+                }
+            }
+        }
+        if (!instance_class) {
+            PyObject *args;
+            if (!value)
+                args = PyTuple_New(0);
+            else if (PyTuple_Check(value)) {
+                Py_INCREF(value);
+                args = value;
+            } else
+                args = PyTuple_Pack(1, value);
+            if (!args)
+                goto bad;
+            owned_instance = PyObject_Call(type, args, NULL);
+            Py_DECREF(args);
+            if (!owned_instance)
+                goto bad;
+            value = owned_instance;
+            if (!PyExceptionInstance_Check(value)) {
+                PyErr_Format(PyExc_TypeError,
+                             "calling %R should have returned an instance of "
+                             "BaseException, not %R",
+                             type, Py_TYPE(value));
+                goto bad;
+            }
+        }
+    } else {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+    if (cause) {
+        PyObject *fixed_cause;
+        if (cause == Py_None) {
+            fixed_cause = NULL;
+        } else if (PyExceptionClass_Check(cause)) {
+            fixed_cause = PyObject_CallObject(cause, NULL);
+            if (fixed_cause == NULL)
+                goto bad;
+        } else if (PyExceptionInstance_Check(cause)) {
+            fixed_cause = cause;
+            Py_INCREF(fixed_cause);
+        } else {
+            PyErr_SetString(PyExc_TypeError,
+                            "exception causes must derive from "
+                            "BaseException");
+            goto bad;
+        }
+        PyException_SetCause(value, fixed_cause);
+    }
+    PyErr_SetObject(type, value);
+    if (tb) {
+#if CYTHON_COMPILING_IN_PYPY
+        PyObject *tmp_type, *tmp_value, *tmp_tb;
+        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
+        Py_INCREF(tb);
+        PyErr_Restore(tmp_type, tmp_value, tb);
+        Py_XDECREF(tmp_tb);
+#else
+        PyThreadState *tstate = __Pyx_PyThreadState_Current;
+        PyObject* tmp_tb = tstate->curexc_traceback;
+        if (tb != tmp_tb) {
+            Py_INCREF(tb);
+            tstate->curexc_traceback = tb;
+            Py_XDECREF(tmp_tb);
+        }
+#endif
+    }
+bad:
+    Py_XDECREF(owned_instance);
+    return;
+}
+#endif
+
+/* PyCFunctionFastCall */
+  #if CYTHON_FAST_PYCCALL
+static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
+    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
+    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
+    PyObject *self = PyCFunction_GET_SELF(func);
+    int flags = PyCFunction_GET_FLAGS(func);
+    assert(PyCFunction_Check(func));
+    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)));
+    assert(nargs >= 0);
+    assert(nargs == 0 || args != NULL);
+    /* _PyCFunction_FastCallDict() must not be called with an exception set,
+       because it may clear it (directly or indirectly) and so the
+       caller loses its exception */
+    assert(!PyErr_Occurred());
+    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
+        return (*((__Pyx_PyCFunctionFastWithKeywords)meth)) (self, args, nargs, NULL);
+    } else {
+        return (*((__Pyx_PyCFunctionFast)meth)) (self, args, nargs);
+    }
+}
+#endif
+
+/* PyFunctionFastCall */
+  #if CYTHON_FAST_PYCALL
+#include "frameobject.h"
+static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
+                                               PyObject *globals) {
+    PyFrameObject *f;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject **fastlocals;
+    Py_ssize_t i;
+    PyObject *result;
+    assert(globals != NULL);
+    /* XXX Perhaps we should create a specialized
+       PyFrame_New() that doesn't take locals, but does
+       take builtins without sanity checking them.
+       */
+    assert(tstate != NULL);
+    f = PyFrame_New(tstate, co, globals, NULL);
+    if (f == NULL) {
+        return NULL;
+    }
+    fastlocals = f->f_localsplus;
+    for (i = 0; i < na; i++) {
+        Py_INCREF(*args);
+        fastlocals[i] = *args++;
+    }
+    result = PyEval_EvalFrameEx(f,0);
+    ++tstate->recursion_depth;
+    Py_DECREF(f);
+    --tstate->recursion_depth;
+    return result;
+}
+#if 1 || PY_VERSION_HEX < 0x030600B1
+static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
+    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
+    PyObject *globals = PyFunction_GET_GLOBALS(func);
+    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
+    PyObject *closure;
+#if PY_MAJOR_VERSION >= 3
+    PyObject *kwdefs;
+#endif
+    PyObject *kwtuple, **k;
+    PyObject **d;
+    Py_ssize_t nd;
+    Py_ssize_t nk;
+    PyObject *result;
+    assert(kwargs == NULL || PyDict_Check(kwargs));
+    nk = kwargs ? PyDict_Size(kwargs) : 0;
+    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
+        return NULL;
+    }
+    if (
+#if PY_MAJOR_VERSION >= 3
+            co->co_kwonlyargcount == 0 &&
+#endif
+            likely(kwargs == NULL || nk == 0) &&
+            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
+        if (argdefs == NULL && co->co_argcount == nargs) {
+            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
+            goto done;
+        }
+        else if (nargs == 0 && argdefs != NULL
+                 && co->co_argcount == Py_SIZE(argdefs)) {
+            /* function called with no arguments, but all parameters have
+               a default value: use default values as arguments .*/
+            args = &PyTuple_GET_ITEM(argdefs, 0);
+            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
+            goto done;
+        }
+    }
+    if (kwargs != NULL) {
+        Py_ssize_t pos, i;
+        kwtuple = PyTuple_New(2 * nk);
+        if (kwtuple == NULL) {
+            result = NULL;
+            goto done;
+        }
+        k = &PyTuple_GET_ITEM(kwtuple, 0);
+        pos = i = 0;
+        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
+            Py_INCREF(k[i]);
+            Py_INCREF(k[i+1]);
+            i += 2;
+        }
+        nk = i / 2;
+    }
+    else {
+        kwtuple = NULL;
+        k = NULL;
+    }
+    closure = PyFunction_GET_CLOSURE(func);
+#if PY_MAJOR_VERSION >= 3
+    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
+#endif
+    if (argdefs != NULL) {
+        d = &PyTuple_GET_ITEM(argdefs, 0);
+        nd = Py_SIZE(argdefs);
+    }
+    else {
+        d = NULL;
+        nd = 0;
+    }
+#if PY_MAJOR_VERSION >= 3
+    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
+                               args, nargs,
+                               k, (int)nk,
+                               d, (int)nd, kwdefs, closure);
+#else
+    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
+                               args, nargs,
+                               k, (int)nk,
+                               d, (int)nd, closure);
+#endif
+    Py_XDECREF(kwtuple);
+done:
+    Py_LeaveRecursiveCall();
+    return result;
+}
+#endif
+#endif
+
+/* PyObjectCallMethO */
+  #if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
+    PyObject *self, *result;
+    PyCFunction cfunc;
+    cfunc = PyCFunction_GET_FUNCTION(func);
+    self = PyCFunction_GET_SELF(func);
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    result = cfunc(self, arg);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
+    }
+    return result;
+}
+#endif
+
+/* PyObjectCallOneArg */
+  #if CYTHON_COMPILING_IN_CPYTHON
+static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_New(1);
+    if (unlikely(!args)) return NULL;
+    Py_INCREF(arg);
+    PyTuple_SET_ITEM(args, 0, arg);
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+#if CYTHON_FAST_PYCALL
+    if (PyFunction_Check(func)) {
+        return __Pyx_PyFunction_FastCall(func, &arg, 1);
+    }
+#endif
+    if (likely(PyCFunction_Check(func))) {
+        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
+            return __Pyx_PyObject_CallMethO(func, arg);
+#if CYTHON_FAST_PYCCALL
+        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
+            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
+#endif
+        }
+    }
+    return __Pyx__PyObject_CallOneArg(func, arg);
+}
+#else
+static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
+    PyObject *result;
+    PyObject *args = PyTuple_Pack(1, arg);
+    if (unlikely(!args)) return NULL;
+    result = __Pyx_PyObject_Call(func, args, NULL);
+    Py_DECREF(args);
+    return result;
+}
+#endif
+
+/* DictGetItem */
+  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
+static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
+    PyObject *value;
+    value = PyDict_GetItemWithError(d, key);
+    if (unlikely(!value)) {
+        if (!PyErr_Occurred()) {
+            PyObject* args = PyTuple_Pack(1, key);
+            if (likely(args))
+                PyErr_SetObject(PyExc_KeyError, args);
+            Py_XDECREF(args);
+        }
+        return NULL;
+    }
+    Py_INCREF(value);
+    return value;
+}
+#endif
+
+/* RaiseTooManyValuesToUnpack */
+  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
+    PyErr_Format(PyExc_ValueError,
+                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
+}
+
+/* RaiseNeedMoreValuesToUnpack */
+  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
+    PyErr_Format(PyExc_ValueError,
+                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
+                 index, (index == 1) ? "" : "s");
+}
+
+/* RaiseNoneIterError */
+  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+/* ExtTypeTest */
+  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    if (likely(__Pyx_TypeCheck(obj, type)))
+        return 1;
+    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
+                 Py_TYPE(obj)->tp_name, type->tp_name);
+    return 0;
+}
+
+/* SaveResetException */
+  #if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+    #if PY_VERSION_HEX >= 0x030700A2
+    *type = tstate->exc_state.exc_type;
+    *value = tstate->exc_state.exc_value;
+    *tb = tstate->exc_state.exc_traceback;
+    #else
+    *type = tstate->exc_type;
+    *value = tstate->exc_value;
+    *tb = tstate->exc_traceback;
+    #endif
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+}
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if PY_VERSION_HEX >= 0x030700A2
+    tmp_type = tstate->exc_state.exc_type;
+    tmp_value = tstate->exc_state.exc_value;
+    tmp_tb = tstate->exc_state.exc_traceback;
+    tstate->exc_state.exc_type = type;
+    tstate->exc_state.exc_value = value;
+    tstate->exc_state.exc_traceback = tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = type;
+    tstate->exc_value = value;
+    tstate->exc_traceback = tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+}
+#endif
+
+/* PyErrExceptionMatches */
+  #if CYTHON_FAST_THREAD_STATE
+static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
+    PyObject *exc_type = tstate->curexc_type;
+    if (exc_type == err) return 1;
+    if (unlikely(!exc_type)) return 0;
+    if (unlikely(PyTuple_Check(err)))
+        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
+    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
+}
+#endif
+
+/* GetException */
+  #if CYTHON_FAST_THREAD_STATE
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
+#endif
+    PyObject *local_type, *local_value, *local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    local_type = tstate->curexc_type;
+    local_value = tstate->curexc_value;
+    local_tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+#else
+    PyErr_Fetch(&local_type, &local_value, &local_tb);
+#endif
+    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
+#if CYTHON_FAST_THREAD_STATE
+    if (unlikely(tstate->curexc_type))
+#else
+    if (unlikely(PyErr_Occurred()))
+#endif
+        goto bad;
+    #if PY_MAJOR_VERSION >= 3
+    if (local_tb) {
+        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
+            goto bad;
+    }
+    #endif
+    Py_XINCREF(local_tb);
+    Py_XINCREF(local_type);
+    Py_XINCREF(local_value);
+    *type = local_type;
+    *value = local_value;
+    *tb = local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    #if PY_VERSION_HEX >= 0x030700A2
+    tmp_type = tstate->exc_state.exc_type;
+    tmp_value = tstate->exc_state.exc_value;
+    tmp_tb = tstate->exc_state.exc_traceback;
+    tstate->exc_state.exc_type = local_type;
+    tstate->exc_state.exc_value = local_value;
+    tstate->exc_state.exc_traceback = local_tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = local_type;
+    tstate->exc_value = local_value;
+    tstate->exc_traceback = local_tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+#else
+    PyErr_SetExcInfo(local_type, local_value, local_tb);
+#endif
+    return 0;
+bad:
+    *type = 0;
+    *value = 0;
+    *tb = 0;
+    Py_XDECREF(local_type);
+    Py_XDECREF(local_value);
+    Py_XDECREF(local_tb);
+    return -1;
+}
+
+/* Import */
+    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
+    PyObject *empty_list = 0;
+    PyObject *module = 0;
+    PyObject *global_dict = 0;
+    PyObject *empty_dict = 0;
+    PyObject *list;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_import;
+    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
+    if (!py_import)
+        goto bad;
+    #endif
+    if (from_list)
+        list = from_list;
+    else {
+        empty_list = PyList_New(0);
+        if (!empty_list)
+            goto bad;
+        list = empty_list;
+    }
+    global_dict = PyModule_GetDict(__pyx_m);
+    if (!global_dict)
+        goto bad;
+    empty_dict = PyDict_New();
+    if (!empty_dict)
+        goto bad;
+    {
+        #if PY_MAJOR_VERSION >= 3
+        if (level == -1) {
+            if (strchr(__Pyx_MODULE_NAME, '.')) {
+                module = PyImport_ImportModuleLevelObject(
+                    name, global_dict, empty_dict, list, 1);
+                if (!module) {
+                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
+                        goto bad;
+                    PyErr_Clear();
+                }
+            }
+            level = 0;
+        }
+        #endif
+        if (!module) {
+            #if PY_MAJOR_VERSION < 3
+            PyObject *py_level = PyInt_FromLong(level);
+            if (!py_level)
+                goto bad;
+            module = PyObject_CallFunctionObjArgs(py_import,
+                name, global_dict, empty_dict, list, py_level, NULL);
+            Py_DECREF(py_level);
+            #else
+            module = PyImport_ImportModuleLevelObject(
+                name, global_dict, empty_dict, list, level);
+            #endif
+        }
+    }
+bad:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_import);
+    #endif
+    Py_XDECREF(empty_list);
+    Py_XDECREF(empty_dict);
+    return module;
+}
+
+/* CLineInTraceback */
+    #ifndef CYTHON_CLINE_IN_TRACEBACK
+static int __Pyx_CLineForTraceback(CYTHON_UNUSED PyThreadState *tstate, int c_line) {
+    PyObject *use_cline;
+    PyObject *ptype, *pvalue, *ptraceback;
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject **cython_runtime_dict;
+#endif
+    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+#if CYTHON_COMPILING_IN_CPYTHON
+    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
+    if (likely(cython_runtime_dict)) {
+      use_cline = __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback);
+    } else
+#endif
+    {
+      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
+      if (use_cline_obj) {
+        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
+        Py_DECREF(use_cline_obj);
+      } else {
+        PyErr_Clear();
+        use_cline = NULL;
+      }
+    }
+    if (!use_cline) {
+        c_line = 0;
+        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+    }
+    else if (PyObject_Not(use_cline) != 0) {
+        c_line = 0;
+    }
+    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+    return c_line;
+}
+#endif
+
+/* CodeObjectCache */
+    static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
+    int start = 0, mid = 0, end = count - 1;
+    if (end >= 0 && code_line > entries[end].code_line) {
+        return count;
+    }
+    while (start < end) {
+        mid = start + (end - start) / 2;
+        if (code_line < entries[mid].code_line) {
+            end = mid;
+        } else if (code_line > entries[mid].code_line) {
+             start = mid + 1;
+        } else {
+            return mid;
+        }
+    }
+    if (code_line <= entries[mid].code_line) {
+        return mid;
+    } else {
+        return mid + 1;
+    }
+}
+static PyCodeObject *__pyx_find_code_object(int code_line) {
+    PyCodeObject* code_object;
+    int pos;
+    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
+        return NULL;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
+        return NULL;
+    }
+    code_object = __pyx_code_cache.entries[pos].code_object;
+    Py_INCREF(code_object);
+    return code_object;
+}
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
+    int pos, i;
+    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
+    if (unlikely(!code_line)) {
+        return;
+    }
+    if (unlikely(!entries)) {
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (likely(entries)) {
+            __pyx_code_cache.entries = entries;
+            __pyx_code_cache.max_count = 64;
+            __pyx_code_cache.count = 1;
+            entries[0].code_line = code_line;
+            entries[0].code_object = code_object;
+            Py_INCREF(code_object);
+        }
+        return;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
+        PyCodeObject* tmp = entries[pos].code_object;
+        entries[pos].code_object = code_object;
+        Py_DECREF(tmp);
+        return;
+    }
+    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
+        int new_max = __pyx_code_cache.max_count + 64;
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
+            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+
+/* AddTraceback */
+    #include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
+            const char *funcname, int c_line,
+            int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyObject *py_srcfile = 0;
+    PyObject *py_funcname = 0;
+    #if PY_MAJOR_VERSION < 3
+    py_srcfile = PyString_FromString(filename);
+    #else
+    py_srcfile = PyUnicode_FromString(filename);
+    #endif
+    if (!py_srcfile) goto bad;
+    if (c_line) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        #endif
+    }
+    else {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromString(funcname);
+        #else
+        py_funcname = PyUnicode_FromString(funcname);
+        #endif
+    }
+    if (!py_funcname) goto bad;
+    py_code = __Pyx_PyCode_New(
+        0,
+        0,
+        0,
+        0,
+        0,
+        __pyx_empty_bytes, /*PyObject *code,*/
+        __pyx_empty_tuple, /*PyObject *consts,*/
+        __pyx_empty_tuple, /*PyObject *names,*/
+        __pyx_empty_tuple, /*PyObject *varnames,*/
+        __pyx_empty_tuple, /*PyObject *freevars,*/
+        __pyx_empty_tuple, /*PyObject *cellvars,*/
+        py_srcfile,   /*PyObject *filename,*/
+        py_funcname,  /*PyObject *name,*/
+        py_line,
+        __pyx_empty_bytes  /*PyObject *lnotab*/
+    );
+    Py_DECREF(py_srcfile);
+    Py_DECREF(py_funcname);
+    return py_code;
+bad:
+    Py_XDECREF(py_srcfile);
+    Py_XDECREF(py_funcname);
+    return NULL;
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    if (c_line) {
+        c_line = __Pyx_CLineForTraceback(tstate, c_line);
+    }
+    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
+    if (!py_code) {
+        py_code = __Pyx_CreateCodeObjectForTraceback(
+            funcname, c_line, py_line, filename);
+        if (!py_code) goto bad;
+        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
+    }
+    py_frame = PyFrame_New(
+        tstate,            /*PyThreadState *tstate,*/
+        py_code,           /*PyCodeObject *code,*/
+        __pyx_d,    /*PyObject *globals,*/
+        0                  /*PyObject *locals*/
+    );
+    if (!py_frame) goto bad;
+    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_code);
+    Py_XDECREF(py_frame);
+}
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
+        if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
+    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
+    return -1;
+}
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+    PyObject *obj = view->obj;
+    if (!obj) return;
+    if (PyObject_CheckBuffer(obj)) {
+        PyBuffer_Release(view);
+        return;
+    }
+    if ((0)) {}
+        else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
+    view->obj = NULL;
+    Py_DECREF(obj);
+}
+#endif
+
+
+    /* CIntFromPyVerify */
+    #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
+#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
+#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
+    {\
+        func_type value = func_value;\
+        if (sizeof(target_type) < sizeof(func_type)) {\
+            if (unlikely(value != (func_type) (target_type) value)) {\
+                func_type zero = 0;\
+                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
+                    return (target_type) -1;\
+                if (is_unsigned && unlikely(value < zero))\
+                    goto raise_neg_overflow;\
+                else\
+                    goto raise_overflow;\
+            }\
+        }\
+        return (target_type) value;\
+    }
+
+/* Declarations */
+    #if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return ::std::complex< float >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return x + y*(__pyx_t_float_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      __pyx_t_float_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+    #if CYTHON_CCOMPLEX
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabsf(b.real) >= fabsf(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                float r = b.imag / b.real;
+                float s = 1.0 / (b.real + b.imag * r);
+                return __pyx_t_float_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            float r = b.real / b.imag;
+            float s = 1.0 / (b.imag + b.real * r);
+            return __pyx_t_float_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            float denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_float_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrtf(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypotf(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+            __pyx_t_float_complex z;
+            float r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    float denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if (b.imag == 0) {
+                    z.real = powf(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2f(0, -1);
+                }
+            } else {
+                r = __Pyx_c_abs_float(a);
+                theta = atan2f(a.imag, a.real);
+            }
+            lnr = logf(r);
+            z_r = expf(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cosf(z_theta);
+            z.imag = z_r * sinf(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* Declarations */
+    #if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return ::std::complex< double >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return x + y*(__pyx_t_double_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      __pyx_t_double_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+    #if CYTHON_CCOMPLEX
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabs(b.real) >= fabs(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                double r = b.imag / b.real;
+                double s = 1.0 / (b.real + b.imag * r);
+                return __pyx_t_double_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            double r = b.real / b.imag;
+            double s = 1.0 / (b.imag + b.real * r);
+            return __pyx_t_double_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            double denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_double_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrt(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypot(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+            __pyx_t_double_complex z;
+            double r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    double denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if (b.imag == 0) {
+                    z.real = pow(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2(0, -1);
+                }
+            } else {
+                r = __Pyx_c_abs_double(a);
+                theta = atan2(a.imag, a.real);
+            }
+            lnr = log(r);
+            z_r = exp(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cos(z_theta);
+            z.imag = z_r * sin(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* CIntToPy */
+    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
+    const int neg_one = (int) -1, const_zero = (int) 0;
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(int) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(int) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(int) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(int),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntToPy */
+    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
+    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
+    const int neg_one = (int) -1, const_zero = (int) 0;
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(int) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
+                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
+                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
+                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(int) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (int) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
+                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(int) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (int) -1;
+        }
+    } else {
+        int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (int) -1;
+        val = __Pyx_PyInt_As_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to int");
+    return (int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to int");
+    return (int) -1;
+}
+
+/* CIntToPy */
+    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
+    const long neg_one = (long) -1, const_zero = (long) 0;
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(long) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(long) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(long) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+        return _PyLong_FromByteArray(bytes, sizeof(long),
+                                     little, !is_unsigned);
+    }
+}
+
+/* CIntFromPy */
+    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
+    const long neg_one = (long) -1, const_zero = (long) 0;
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if (sizeof(long) < sizeof(long)) {
+            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (long) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
+                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
+                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
+                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                        }
+                    }
+                    break;
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (long) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if (sizeof(long) <= sizeof(unsigned long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            const digit* digits = ((PyLongObject*)x)->ob_digit;
+            switch (Py_SIZE(x)) {
+                case  0: return (long) 0;
+                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
+                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
+                case -2:
+                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 2:
+                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -3:
+                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 3:
+                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case -4:
+                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+                case 4:
+                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
+                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
+                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
+                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                        }
+                    }
+                    break;
+            }
+#endif
+            if (sizeof(long) <= sizeof(long)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
+            PyErr_SetString(PyExc_RuntimeError,
+                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
+#else
+            long val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+ #if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+ #endif
+            if (likely(v)) {
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                int ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                              bytes, sizeof(val),
+                                              is_little, !is_unsigned);
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+#endif
+            return (long) -1;
+        }
+    } else {
+        long val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (long) -1;
+        val = __Pyx_PyInt_As_long(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to long");
+    return (long) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to long");
+    return (long) -1;
+}
+
+/* FastTypeChecks */
+    #if CYTHON_COMPILING_IN_CPYTHON
+static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
+    while (a) {
+        a = a->tp_base;
+        if (a == b)
+            return 1;
+    }
+    return b == &PyBaseObject_Type;
+}
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (a == b) return 1;
+    mro = a->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(a, b);
+}
+#if PY_MAJOR_VERSION == 2
+static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
+    PyObject *exception, *value, *tb;
+    int res;
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrFetch(&exception, &value, &tb);
+    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
+    if (unlikely(res == -1)) {
+        PyErr_WriteUnraisable(err);
+        res = 0;
+    }
+    if (!res) {
+        res = PyObject_IsSubclass(err, exc_type2);
+        if (unlikely(res == -1)) {
+            PyErr_WriteUnraisable(err);
+            res = 0;
+        }
+    }
+    __Pyx_ErrRestore(exception, value, tb);
+    return res;
+}
+#else
+static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
+    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
+    if (!res) {
+        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
+    }
+    return res;
+}
+#endif
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
+    if (likely(err == exc_type)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
+    }
+    return PyErr_GivenExceptionMatches(err, exc_type);
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
+    if (likely(err == exc_type1 || err == exc_type2)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
+    }
+    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
+}
+#endif
+
+/* CheckBinaryVersion */
+    static int __Pyx_check_binary_version(void) {
+    char ctversion[4], rtversion[4];
+    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
+    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
+    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
+        char message[200];
+        PyOS_snprintf(message, sizeof(message),
+                      "compiletime version %s of module '%.100s' "
+                      "does not match runtime version %s",
+                      ctversion, __Pyx_MODULE_NAME, rtversion);
+        return PyErr_WarnEx(NULL, message, 1);
+    }
+    return 0;
+}
+
+/* ModuleImport */
+    #ifndef __PYX_HAVE_RT_ImportModule
+#define __PYX_HAVE_RT_ImportModule
+static PyObject *__Pyx_ImportModule(const char *name) {
+    PyObject *py_name = 0;
+    PyObject *py_module = 0;
+    py_name = __Pyx_PyIdentifier_FromString(name);
+    if (!py_name)
+        goto bad;
+    py_module = PyImport_Import(py_name);
+    Py_DECREF(py_name);
+    return py_module;
+bad:
+    Py_XDECREF(py_name);
+    return 0;
+}
+#endif
+
+/* TypeImport */
+    #ifndef __PYX_HAVE_RT_ImportType
+#define __PYX_HAVE_RT_ImportType
+static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
+    size_t size, int strict)
+{
+    PyObject *py_module = 0;
+    PyObject *result = 0;
+    PyObject *py_name = 0;
+    char warning[200];
+    Py_ssize_t basicsize;
+#ifdef Py_LIMITED_API
+    PyObject *py_basicsize;
+#endif
+    py_module = __Pyx_ImportModule(module_name);
+    if (!py_module)
+        goto bad;
+    py_name = __Pyx_PyIdentifier_FromString(class_name);
+    if (!py_name)
+        goto bad;
+    result = PyObject_GetAttr(py_module, py_name);
+    Py_DECREF(py_name);
+    py_name = 0;
+    Py_DECREF(py_module);
+    py_module = 0;
+    if (!result)
+        goto bad;
+    if (!PyType_Check(result)) {
+        PyErr_Format(PyExc_TypeError,
+            "%.200s.%.200s is not a type object",
+            module_name, class_name);
+        goto bad;
+    }
+#ifndef Py_LIMITED_API
+    basicsize = ((PyTypeObject *)result)->tp_basicsize;
+#else
+    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
+    if (!py_basicsize)
+        goto bad;
+    basicsize = PyLong_AsSsize_t(py_basicsize);
+    Py_DECREF(py_basicsize);
+    py_basicsize = 0;
+    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
+        goto bad;
+#endif
+    if (!strict && (size_t)basicsize > size) {
+        PyOS_snprintf(warning, sizeof(warning),
+            "%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",
+            module_name, class_name, basicsize, size);
+        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
+    }
+    else if ((size_t)basicsize != size) {
+        PyErr_Format(PyExc_ValueError,
+            "%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",
+            module_name, class_name, basicsize, size);
+        goto bad;
+    }
+    return (PyTypeObject *)result;
+bad:
+    Py_XDECREF(py_module);
+    Py_XDECREF(result);
+    return NULL;
+}
+#endif
+
+/* InitStrings */
+    static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+    while (t->p) {
+        #if PY_MAJOR_VERSION < 3
+        if (t->is_unicode) {
+            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
+        } else if (t->intern) {
+            *t->p = PyString_InternFromString(t->s);
+        } else {
+            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+        }
+        #else
+        if (t->is_unicode | t->is_str) {
+            if (t->intern) {
+                *t->p = PyUnicode_InternFromString(t->s);
+            } else if (t->encoding) {
+                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
+            } else {
+                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
+            }
+        } else {
+            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
+        }
+        #endif
+        if (!*t->p)
+            return -1;
+        if (PyObject_Hash(*t->p) == -1)
+            return -1;
+        ++t;
+    }
+    return 0;
+}
+
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
+    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
+}
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
+    Py_ssize_t ignore;
+    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
+}
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#if !CYTHON_PEP393_ENABLED
+static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    char* defenc_c;
+    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
+    if (!defenc) return NULL;
+    defenc_c = PyBytes_AS_STRING(defenc);
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    {
+        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
+        char* c;
+        for (c = defenc_c; c < end; c++) {
+            if ((unsigned char) (*c) >= 128) {
+                PyUnicode_AsASCIIString(o);
+                return NULL;
+            }
+        }
+    }
+#endif
+    *length = PyBytes_GET_SIZE(defenc);
+    return defenc_c;
+}
+#else
+static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    if (likely(PyUnicode_IS_ASCII(o))) {
+        *length = PyUnicode_GET_LENGTH(o);
+        return PyUnicode_AsUTF8(o);
+    } else {
+        PyUnicode_AsASCIIString(o);
+        return NULL;
+    }
+#else
+    return PyUnicode_AsUTF8AndSize(o, length);
+#endif
+}
+#endif
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+    if (
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+            __Pyx_sys_getdefaultencoding_not_ascii &&
+#endif
+            PyUnicode_Check(o)) {
+        return __Pyx_PyUnicode_AsStringAndSize(o, length);
+    } else
+#endif
+#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
+    if (PyByteArray_Check(o)) {
+        *length = PyByteArray_GET_SIZE(o);
+        return PyByteArray_AS_STRING(o);
+    } else
+#endif
+    {
+        char* result;
+        int r = PyBytes_AsStringAndSize(o, &result, length);
+        if (unlikely(r < 0)) {
+            return NULL;
+        } else {
+            return result;
+        }
+    }
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   int is_true = x == Py_True;
+   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
+   else return PyObject_IsTrue(x);
+}
+static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
+#if PY_MAJOR_VERSION >= 3
+    if (PyLong_Check(result)) {
+        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
+                "__int__ returned non-int (type %.200s).  "
+                "The ability to return an instance of a strict subclass of int "
+                "is deprecated, and may be removed in a future version of Python.",
+                Py_TYPE(result)->tp_name)) {
+            Py_DECREF(result);
+            return NULL;
+        }
+        return result;
+    }
+#endif
+    PyErr_Format(PyExc_TypeError,
+                 "__%.4s__ returned non-%.4s (type %.200s)",
+                 type_name, type_name, Py_TYPE(result)->tp_name);
+    Py_DECREF(result);
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
+#if CYTHON_USE_TYPE_SLOTS
+  PyNumberMethods *m;
+#endif
+  const char *name = NULL;
+  PyObject *res = NULL;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_Check(x) || PyLong_Check(x)))
+#else
+  if (likely(PyLong_Check(x)))
+#endif
+    return __Pyx_NewRef(x);
+#if CYTHON_USE_TYPE_SLOTS
+  m = Py_TYPE(x)->tp_as_number;
+  #if PY_MAJOR_VERSION < 3
+  if (m && m->nb_int) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  else if (m && m->nb_long) {
+    name = "long";
+    res = m->nb_long(x);
+  }
+  #else
+  if (likely(m && m->nb_int)) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  #endif
+#else
+  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
+    res = PyNumber_Int(x);
+  }
+#endif
+  if (likely(res)) {
+#if PY_MAJOR_VERSION < 3
+    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
+#else
+    if (unlikely(!PyLong_CheckExact(res))) {
+#endif
+        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
+    }
+  }
+  else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_TypeError,
+                    "an integer is required");
+  }
+  return res;
+}
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
+  Py_ssize_t ival;
+  PyObject *x;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_CheckExact(b))) {
+    if (sizeof(Py_ssize_t) >= sizeof(long))
+        return PyInt_AS_LONG(b);
+    else
+        return PyInt_AsSsize_t(x);
+  }
+#endif
+  if (likely(PyLong_CheckExact(b))) {
+    #if CYTHON_USE_PYLONG_INTERNALS
+    const digit* digits = ((PyLongObject*)b)->ob_digit;
+    const Py_ssize_t size = Py_SIZE(b);
+    if (likely(__Pyx_sst_abs(size) <= 1)) {
+        ival = likely(size) ? digits[0] : 0;
+        if (size == -1) ival = -ival;
+        return ival;
+    } else {
+      switch (size) {
+         case 2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+      }
+    }
+    #endif
+    return PyLong_AsSsize_t(b);
+  }
+  x = PyNumber_Index(b);
+  if (!x) return -1;
+  ival = PyInt_AsSsize_t(x);
+  Py_DECREF(x);
+  return ival;
+}
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
+    return PyInt_FromSize_t(ival);
+}
+
+
+#endif /* Py_PYTHON_H */
diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpp b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d2d12d77d6824e1ae1e04b31595102bfbebbb4d1
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpp
@@ -0,0 +1,12395 @@
+/* Generated by Cython 3.0.10 */
+
+/* BEGIN: Cython Metadata
+{
+    "distutils": {
+        "depends": [
+            "insightface/thirdparty/face3d/mesh/cython/mesh_core.h"
+        ],
+        "include_dirs": [
+            "insightface/thirdparty/face3d/mesh/cython"
+        ],
+        "language": "c++",
+        "name": "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython",
+        "sources": [
+            "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx",
+            "insightface/thirdparty/face3d/mesh/cython/mesh_core.cpp"
+        ]
+    },
+    "module_name": "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython"
+}
+END: Cython Metadata */
+
+#ifndef PY_SSIZE_T_CLEAN
+#define PY_SSIZE_T_CLEAN
+#endif /* PY_SSIZE_T_CLEAN */
+#if defined(CYTHON_LIMITED_API) && 0
+  #ifndef Py_LIMITED_API
+    #if CYTHON_LIMITED_API+0 > 0x03030000
+      #define Py_LIMITED_API CYTHON_LIMITED_API
+    #else
+      #define Py_LIMITED_API 0x03030000
+    #endif
+  #endif
+#endif
+
+#include "Python.h"
+#ifndef Py_PYTHON_H
+    #error Python headers needed to compile C extensions, please install development version of Python.
+#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
+    #error Cython requires Python 2.7+ or Python 3.3+.
+#else
+#if defined(CYTHON_LIMITED_API) && CYTHON_LIMITED_API
+#define __PYX_EXTRA_ABI_MODULE_NAME "limited"
+#else
+#define __PYX_EXTRA_ABI_MODULE_NAME ""
+#endif
+#define CYTHON_ABI "3_0_10" __PYX_EXTRA_ABI_MODULE_NAME
+#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
+#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
+#define CYTHON_HEX_VERSION 0x03000AF0
+#define CYTHON_FUTURE_DIVISION 1
+#include <stddef.h>
+#ifndef offsetof
+  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
+#endif
+#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
+  #ifndef __stdcall
+    #define __stdcall
+  #endif
+  #ifndef __cdecl
+    #define __cdecl
+  #endif
+  #ifndef __fastcall
+    #define __fastcall
+  #endif
+#endif
+#ifndef DL_IMPORT
+  #define DL_IMPORT(t) t
+#endif
+#ifndef DL_EXPORT
+  #define DL_EXPORT(t) t
+#endif
+#define __PYX_COMMA ,
+#ifndef HAVE_LONG_LONG
+  #define HAVE_LONG_LONG
+#endif
+#ifndef PY_LONG_LONG
+  #define PY_LONG_LONG LONG_LONG
+#endif
+#ifndef Py_HUGE_VAL
+  #define Py_HUGE_VAL HUGE_VAL
+#endif
+#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
+#if defined(GRAALVM_PYTHON)
+  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
+     The existence of this section does not imply that anything works or is even tested */
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_LIMITED_API 0
+  #define CYTHON_COMPILING_IN_GRAAL 1
+  #define CYTHON_COMPILING_IN_NOGIL 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_TYPE_SPECS
+  #define CYTHON_USE_TYPE_SPECS 0
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_GIL
+  #define CYTHON_FAST_GIL 0
+  #undef CYTHON_METH_FASTCALL
+  #define CYTHON_METH_FASTCALL 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #ifndef CYTHON_PEP487_INIT_SUBCLASS
+    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
+  #endif
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
+  #undef CYTHON_USE_MODULE_STATE
+  #define CYTHON_USE_MODULE_STATE 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE 0
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
+  #endif
+  #undef CYTHON_USE_FREELISTS
+  #define CYTHON_USE_FREELISTS 0
+#elif defined(PYPY_VERSION)
+  #define CYTHON_COMPILING_IN_PYPY 1
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_LIMITED_API 0
+  #define CYTHON_COMPILING_IN_GRAAL 0
+  #define CYTHON_COMPILING_IN_NOGIL 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #ifndef CYTHON_USE_TYPE_SPECS
+    #define CYTHON_USE_TYPE_SPECS 0
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #undef CYTHON_AVOID_BORROWED_REFS
+  #define CYTHON_AVOID_BORROWED_REFS 1
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_GIL
+  #define CYTHON_FAST_GIL 0
+  #undef CYTHON_METH_FASTCALL
+  #define CYTHON_METH_FASTCALL 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #ifndef CYTHON_PEP487_INIT_SUBCLASS
+    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
+  #endif
+  #if PY_VERSION_HEX < 0x03090000
+    #undef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
+  #endif
+  #undef CYTHON_USE_MODULE_STATE
+  #define CYTHON_USE_MODULE_STATE 0
+  #undef CYTHON_USE_TP_FINALIZE
+  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1 && PYPY_VERSION_NUM >= 0x07030C00)
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
+  #endif
+  #undef CYTHON_USE_FREELISTS
+  #define CYTHON_USE_FREELISTS 0
+#elif defined(CYTHON_LIMITED_API)
+  #ifdef Py_LIMITED_API
+    #undef __PYX_LIMITED_VERSION_HEX
+    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
+  #endif
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_LIMITED_API 1
+  #define CYTHON_COMPILING_IN_GRAAL 0
+  #define CYTHON_COMPILING_IN_NOGIL 0
+  #undef CYTHON_CLINE_IN_TRACEBACK
+  #define CYTHON_CLINE_IN_TRACEBACK 0
+  #undef CYTHON_USE_TYPE_SLOTS
+  #define CYTHON_USE_TYPE_SLOTS 0
+  #undef CYTHON_USE_TYPE_SPECS
+  #define CYTHON_USE_TYPE_SPECS 1
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #undef CYTHON_USE_ASYNC_SLOTS
+  #define CYTHON_USE_ASYNC_SLOTS 0
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #undef CYTHON_USE_UNICODE_INTERNALS
+  #define CYTHON_USE_UNICODE_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #endif
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #undef CYTHON_ASSUME_SAFE_MACROS
+  #define CYTHON_ASSUME_SAFE_MACROS 0
+  #undef CYTHON_UNPACK_METHODS
+  #define CYTHON_UNPACK_METHODS 0
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_GIL
+  #define CYTHON_FAST_GIL 0
+  #undef CYTHON_METH_FASTCALL
+  #define CYTHON_METH_FASTCALL 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #ifndef CYTHON_PEP487_INIT_SUBCLASS
+    #define CYTHON_PEP487_INIT_SUBCLASS 1
+  #endif
+  #undef CYTHON_PEP489_MULTI_PHASE_INIT
+  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #undef CYTHON_USE_MODULE_STATE
+  #define CYTHON_USE_MODULE_STATE 1
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE 0
+  #endif
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
+  #endif
+  #undef CYTHON_USE_FREELISTS
+  #define CYTHON_USE_FREELISTS 0
+#elif defined(Py_GIL_DISABLED) || defined(Py_NOGIL)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_LIMITED_API 0
+  #define CYTHON_COMPILING_IN_GRAAL 0
+  #define CYTHON_COMPILING_IN_NOGIL 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #ifndef CYTHON_USE_TYPE_SPECS
+    #define CYTHON_USE_TYPE_SPECS 0
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #ifndef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #ifndef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 0
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_GIL
+  #define CYTHON_FAST_GIL 0
+  #ifndef CYTHON_METH_FASTCALL
+    #define CYTHON_METH_FASTCALL 1
+  #endif
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #ifndef CYTHON_PEP487_INIT_SUBCLASS
+    #define CYTHON_PEP487_INIT_SUBCLASS 1
+  #endif
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
+  #endif
+  #ifndef CYTHON_USE_MODULE_STATE
+    #define CYTHON_USE_MODULE_STATE 0
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE 1
+  #endif
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
+  #endif
+  #ifndef CYTHON_USE_FREELISTS
+    #define CYTHON_USE_FREELISTS 0
+  #endif
+#else
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_CPYTHON 1
+  #define CYTHON_COMPILING_IN_LIMITED_API 0
+  #define CYTHON_COMPILING_IN_GRAAL 0
+  #define CYTHON_COMPILING_IN_NOGIL 0
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #ifndef CYTHON_USE_TYPE_SPECS
+    #define CYTHON_USE_TYPE_SPECS 0
+  #endif
+  #ifndef CYTHON_USE_PYTYPE_LOOKUP
+    #define CYTHON_USE_PYTYPE_LOOKUP 1
+  #endif
+  #if PY_MAJOR_VERSION < 3
+    #undef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 0
+  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #ifndef CYTHON_USE_PYLONG_INTERNALS
+    #define CYTHON_USE_PYLONG_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_PYLIST_INTERNALS
+    #define CYTHON_USE_PYLIST_INTERNALS 1
+  #endif
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
+    #undef CYTHON_USE_UNICODE_WRITER
+    #define CYTHON_USE_UNICODE_WRITER 0
+  #elif !defined(CYTHON_USE_UNICODE_WRITER)
+    #define CYTHON_USE_UNICODE_WRITER 1
+  #endif
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #ifndef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 1
+  #endif
+  #ifndef CYTHON_FAST_GIL
+    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000 && PY_VERSION_HEX < 0x030C00A6)
+  #endif
+  #ifndef CYTHON_METH_FASTCALL
+    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
+  #endif
+  #ifndef CYTHON_FAST_PYCALL
+    #define CYTHON_FAST_PYCALL 1
+  #endif
+  #ifndef CYTHON_PEP487_INIT_SUBCLASS
+    #define CYTHON_PEP487_INIT_SUBCLASS 1
+  #endif
+  #if PY_VERSION_HEX < 0x03050000
+    #undef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
+  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
+  #endif
+  #ifndef CYTHON_USE_MODULE_STATE
+    #define CYTHON_USE_MODULE_STATE 0
+  #endif
+  #if PY_VERSION_HEX < 0x030400a1
+    #undef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE 0
+  #elif !defined(CYTHON_USE_TP_FINALIZE)
+    #define CYTHON_USE_TP_FINALIZE 1
+  #endif
+  #if PY_VERSION_HEX < 0x030600B1
+    #undef CYTHON_USE_DICT_VERSIONS
+    #define CYTHON_USE_DICT_VERSIONS 0
+  #elif !defined(CYTHON_USE_DICT_VERSIONS)
+    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5)
+  #endif
+  #if PY_VERSION_HEX < 0x030700A3
+    #undef CYTHON_USE_EXC_INFO_STACK
+    #define CYTHON_USE_EXC_INFO_STACK 0
+  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
+    #define CYTHON_USE_EXC_INFO_STACK 1
+  #endif
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
+  #endif
+  #ifndef CYTHON_USE_FREELISTS
+    #define CYTHON_USE_FREELISTS 1
+  #endif
+#endif
+#if !defined(CYTHON_FAST_PYCCALL)
+#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
+#endif
+#if !defined(CYTHON_VECTORCALL)
+#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
+#endif
+#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
+#if CYTHON_USE_PYLONG_INTERNALS
+  #if PY_MAJOR_VERSION < 3
+    #include "longintrepr.h"
+  #endif
+  #undef SHIFT
+  #undef BASE
+  #undef MASK
+  #ifdef SIZEOF_VOID_P
+    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
+  #endif
+#endif
+#ifndef __has_attribute
+  #define __has_attribute(x) 0
+#endif
+#ifndef __has_cpp_attribute
+  #define __has_cpp_attribute(x) 0
+#endif
+#ifndef CYTHON_RESTRICT
+  #if defined(__GNUC__)
+    #define CYTHON_RESTRICT __restrict__
+  #elif defined(_MSC_VER) && _MSC_VER >= 1400
+    #define CYTHON_RESTRICT __restrict
+  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define CYTHON_RESTRICT restrict
+  #else
+    #define CYTHON_RESTRICT
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+  #if defined(__cplusplus)
+    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
+     * but leads to warnings with -pedantic, since it is a C++17 feature */
+    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
+      #if __has_cpp_attribute(maybe_unused)
+        #define CYTHON_UNUSED [[maybe_unused]]
+      #endif
+    #endif
+  #endif
+#endif
+#ifndef CYTHON_UNUSED
+# if defined(__GNUC__)
+#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
+#     define CYTHON_UNUSED __attribute__ ((__unused__))
+#   else
+#     define CYTHON_UNUSED
+#   endif
+# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
+#   define CYTHON_UNUSED __attribute__ ((__unused__))
+# else
+#   define CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_UNUSED_VAR
+#  if defined(__cplusplus)
+     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
+#  else
+#    define CYTHON_UNUSED_VAR(x) (void)(x)
+#  endif
+#endif
+#ifndef CYTHON_MAYBE_UNUSED_VAR
+  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
+#endif
+#ifndef CYTHON_NCP_UNUSED
+# if CYTHON_COMPILING_IN_CPYTHON
+#  define CYTHON_NCP_UNUSED
+# else
+#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
+# endif
+#endif
+#ifndef CYTHON_USE_CPP_STD_MOVE
+  #if defined(__cplusplus) && (\
+    __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600))
+    #define CYTHON_USE_CPP_STD_MOVE 1
+  #else
+    #define CYTHON_USE_CPP_STD_MOVE 0
+  #endif
+#endif
+#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
+#ifdef _MSC_VER
+    #ifndef _MSC_STDINT_H_
+        #if _MSC_VER < 1300
+            typedef unsigned char     uint8_t;
+            typedef unsigned short    uint16_t;
+            typedef unsigned int      uint32_t;
+        #else
+            typedef unsigned __int8   uint8_t;
+            typedef unsigned __int16  uint16_t;
+            typedef unsigned __int32  uint32_t;
+        #endif
+    #endif
+    #if _MSC_VER < 1300
+        #ifdef _WIN64
+            typedef unsigned long long  __pyx_uintptr_t;
+        #else
+            typedef unsigned int        __pyx_uintptr_t;
+        #endif
+    #else
+        #ifdef _WIN64
+            typedef unsigned __int64    __pyx_uintptr_t;
+        #else
+            typedef unsigned __int32    __pyx_uintptr_t;
+        #endif
+    #endif
+#else
+    #include <stdint.h>
+    typedef uintptr_t  __pyx_uintptr_t;
+#endif
+#ifndef CYTHON_FALLTHROUGH
+  #if defined(__cplusplus)
+    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
+     * but leads to warnings with -pedantic, since it is a C++17 feature */
+    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
+      #if __has_cpp_attribute(fallthrough)
+        #define CYTHON_FALLTHROUGH [[fallthrough]]
+      #endif
+    #endif
+    #ifndef CYTHON_FALLTHROUGH
+      #if __has_cpp_attribute(clang::fallthrough)
+        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
+      #elif __has_cpp_attribute(gnu::fallthrough)
+        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
+      #endif
+    #endif
+  #endif
+  #ifndef CYTHON_FALLTHROUGH
+    #if __has_attribute(fallthrough)
+      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
+    #else
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+  #if defined(__clang__) && defined(__apple_build_version__)
+    #if __apple_build_version__ < 7000000
+      #undef  CYTHON_FALLTHROUGH
+      #define CYTHON_FALLTHROUGH
+    #endif
+  #endif
+#endif
+#ifdef __cplusplus
+  template <typename T>
+  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
+  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
+#else
+  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
+#endif
+#if CYTHON_COMPILING_IN_PYPY == 1
+  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
+#else
+  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
+#endif
+#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))
+
+#ifndef __cplusplus
+  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
+#endif
+#ifndef CYTHON_INLINE
+  #if defined(__clang__)
+    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
+  #else
+    #define CYTHON_INLINE inline
+  #endif
+#endif
+template<typename T>
+void __Pyx_call_destructor(T& x) {
+    x.~T();
+}
+template<typename T>
+class __Pyx_FakeReference {
+  public:
+    __Pyx_FakeReference() : ptr(NULL) { }
+    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
+    T *operator->() { return ptr; }
+    T *operator&() { return ptr; }
+    operator T&() { return *ptr; }
+    template<typename U> bool operator ==(const U& other) const { return *ptr == other; }
+    template<typename U> bool operator !=(const U& other) const { return *ptr != other; }
+    template<typename U> bool operator==(const __Pyx_FakeReference<U>& other) const { return *ptr == *other.ptr; }
+    template<typename U> bool operator!=(const __Pyx_FakeReference<U>& other) const { return *ptr != *other.ptr; }
+  private:
+    T *ptr;
+};
+
+#define __PYX_BUILD_PY_SSIZE_T "n"
+#define CYTHON_FORMAT_SSIZE_T "z"
+#if PY_MAJOR_VERSION < 3
+  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
+  #define __Pyx_DefaultClassType PyClass_Type
+  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#else
+  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
+  #define __Pyx_DefaultClassType PyType_Type
+#if CYTHON_COMPILING_IN_LIMITED_API
+    static CYTHON_INLINE PyObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
+                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
+                                                    PyObject *fv, PyObject *cell, PyObject* fn,
+                                                    PyObject *name, int fline, PyObject *lnos) {
+        PyObject *exception_table = NULL;
+        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
+        #if __PYX_LIMITED_VERSION_HEX < 0x030B0000
+        PyObject *version_info;
+        PyObject *py_minor_version = NULL;
+        #endif
+        long minor_version = 0;
+        PyObject *type, *value, *traceback;
+        PyErr_Fetch(&type, &value, &traceback);
+        #if __PYX_LIMITED_VERSION_HEX >= 0x030B0000
+        minor_version = 11;
+        #else
+        if (!(version_info = PySys_GetObject("version_info"))) goto end;
+        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
+        minor_version = PyLong_AsLong(py_minor_version);
+        Py_DECREF(py_minor_version);
+        if (minor_version == -1 && PyErr_Occurred()) goto end;
+        #endif
+        if (!(types_module = PyImport_ImportModule("types"))) goto end;
+        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
+        if (minor_version <= 7) {
+            (void)p;
+            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
+                          c, n, v, fn, name, fline, lnos, fv, cell);
+        } else if (minor_version <= 10) {
+            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", a,p, k, l, s, f, code,
+                          c, n, v, fn, name, fline, lnos, fv, cell);
+        } else {
+            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
+            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOO", a,p, k, l, s, f, code,
+                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
+        }
+    end:
+        Py_XDECREF(code_type);
+        Py_XDECREF(exception_table);
+        Py_XDECREF(types_module);
+        if (type) {
+            PyErr_Restore(type, value, traceback);
+        }
+        return result;
+    }
+    #ifndef CO_OPTIMIZED
+    #define CO_OPTIMIZED 0x0001
+    #endif
+    #ifndef CO_NEWLOCALS
+    #define CO_NEWLOCALS 0x0002
+    #endif
+    #ifndef CO_VARARGS
+    #define CO_VARARGS 0x0004
+    #endif
+    #ifndef CO_VARKEYWORDS
+    #define CO_VARKEYWORDS 0x0008
+    #endif
+    #ifndef CO_ASYNC_GENERATOR
+    #define CO_ASYNC_GENERATOR 0x0200
+    #endif
+    #ifndef CO_GENERATOR
+    #define CO_GENERATOR 0x0020
+    #endif
+    #ifndef CO_COROUTINE
+    #define CO_COROUTINE 0x0080
+    #endif
+#elif PY_VERSION_HEX >= 0x030B0000
+  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
+                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
+                                                    PyObject *fv, PyObject *cell, PyObject* fn,
+                                                    PyObject *name, int fline, PyObject *lnos) {
+    PyCodeObject *result;
+    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);
+    if (!empty_bytes) return NULL;
+    result =
+      #if PY_VERSION_HEX >= 0x030C0000
+        PyUnstable_Code_NewWithPosOnlyArgs
+      #else
+        PyCode_NewWithPosOnlyArgs
+      #endif
+        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, empty_bytes);
+    Py_DECREF(empty_bytes);
+    return result;
+  }
+#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#else
+  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
+          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+#endif
+#endif
+#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
+  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
+#else
+  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
+#endif
+#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
+  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
+#else
+  #define __Pyx_Py_Is(x, y) ((x) == (y))
+#endif
+#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
+  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
+#else
+  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
+#endif
+#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
+  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
+#else
+  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
+#endif
+#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
+  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
+#else
+  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
+#endif
+#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
+#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
+#else
+  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
+#endif
+#ifndef CO_COROUTINE
+  #define CO_COROUTINE 0x80
+#endif
+#ifndef CO_ASYNC_GENERATOR
+  #define CO_ASYNC_GENERATOR 0x200
+#endif
+#ifndef Py_TPFLAGS_CHECKTYPES
+  #define Py_TPFLAGS_CHECKTYPES 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_INDEX
+  #define Py_TPFLAGS_HAVE_INDEX 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
+  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
+#endif
+#ifndef Py_TPFLAGS_HAVE_FINALIZE
+  #define Py_TPFLAGS_HAVE_FINALIZE 0
+#endif
+#ifndef Py_TPFLAGS_SEQUENCE
+  #define Py_TPFLAGS_SEQUENCE 0
+#endif
+#ifndef Py_TPFLAGS_MAPPING
+  #define Py_TPFLAGS_MAPPING 0
+#endif
+#ifndef METH_STACKLESS
+  #define METH_STACKLESS 0
+#endif
+#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
+  #ifndef METH_FASTCALL
+     #define METH_FASTCALL 0x80
+  #endif
+  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
+  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
+                                                          Py_ssize_t nargs, PyObject *kwnames);
+#else
+  #if PY_VERSION_HEX >= 0x030d00A4
+  #  define __Pyx_PyCFunctionFast PyCFunctionFast
+  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
+  #else
+  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
+  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
+  #endif
+#endif
+#if CYTHON_METH_FASTCALL
+  #define __Pyx_METH_FASTCALL METH_FASTCALL
+  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
+  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
+#else
+  #define __Pyx_METH_FASTCALL METH_VARARGS
+  #define __Pyx_PyCFunction_FastCall PyCFunction
+  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
+#endif
+#if CYTHON_VECTORCALL
+  #define __pyx_vectorcallfunc vectorcallfunc
+  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
+  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
+#elif CYTHON_BACKPORT_VECTORCALL
+  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
+                                            size_t nargsf, PyObject *kwnames);
+  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
+  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
+#else
+  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
+  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
+#endif
+#if PY_MAJOR_VERSION >= 0x030900B1
+#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
+#else
+#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
+#endif
+#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
+#elif !CYTHON_COMPILING_IN_LIMITED_API
+#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
+static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
+    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
+}
+#endif
+static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void *cfunc) {
+#if CYTHON_COMPILING_IN_LIMITED_API
+    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
+#else
+    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
+#endif
+}
+#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
+#if __PYX_LIMITED_VERSION_HEX < 0x030900B1
+  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
+  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
+#else
+  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
+  #define __Pyx_PyCMethod  PyCMethod
+#endif
+#ifndef METH_METHOD
+  #define METH_METHOD 0x200
+#endif
+#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
+  #define PyObject_Malloc(s)   PyMem_Malloc(s)
+  #define PyObject_Free(p)     PyMem_Free(p)
+  #define PyObject_Realloc(p)  PyMem_Realloc(p)
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
+#else
+  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
+  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+  #define __Pyx_PyThreadState_Current PyThreadState_Get()
+#elif !CYTHON_FAST_THREAD_STATE
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#elif PY_VERSION_HEX >= 0x030d00A1
+  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
+#elif PY_VERSION_HEX >= 0x03060000
+  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
+#elif PY_VERSION_HEX >= 0x03000000
+  #define __Pyx_PyThreadState_Current PyThreadState_GET()
+#else
+  #define __Pyx_PyThreadState_Current _PyThreadState_Current
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
+{
+    void *result;
+    result = PyModule_GetState(op);
+    if (!result)
+        Py_FatalError("Couldn't find the module state");
+    return result;
+}
+#endif
+#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
+#if CYTHON_COMPILING_IN_LIMITED_API
+  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
+#else
+  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
+#endif
+#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
+#include "pythread.h"
+#define Py_tss_NEEDS_INIT 0
+typedef int Py_tss_t;
+static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
+  *key = PyThread_create_key();
+  return 0;
+}
+static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
+  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
+  *key = Py_tss_NEEDS_INIT;
+  return key;
+}
+static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
+  PyObject_Free(key);
+}
+static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
+  return *key != Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
+  PyThread_delete_key(*key);
+  *key = Py_tss_NEEDS_INIT;
+}
+static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
+  return PyThread_set_key_value(*key, value);
+}
+static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
+  return PyThread_get_key_value(*key);
+}
+#endif
+#if PY_MAJOR_VERSION < 3
+    #if CYTHON_COMPILING_IN_PYPY
+        #if PYPY_VERSION_NUM < 0x07030600
+            #if defined(__cplusplus) && __cplusplus >= 201402L
+                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
+            #elif defined(__GNUC__) || defined(__clang__)
+                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
+            #elif defined(_MSC_VER)
+                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
+            #endif
+            static CYTHON_INLINE int PyGILState_Check(void) {
+                return 0;
+            }
+        #else  // PYPY_VERSION_NUM < 0x07030600
+        #endif  // PYPY_VERSION_NUM < 0x07030600
+    #else
+        static CYTHON_INLINE int PyGILState_Check(void) {
+            PyThreadState * tstate = _PyThreadState_Current;
+            return tstate && (tstate == PyGILState_GetThisThreadState());
+        }
+    #endif
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000 || defined(_PyDict_NewPresized)
+#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
+#else
+#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
+#endif
+#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
+#else
+  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
+  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && PY_VERSION_HEX < 0x030d0000 && CYTHON_USE_UNICODE_INTERNALS
+#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
+static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
+    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
+    if (res == NULL) PyErr_Clear();
+    return res;
+}
+#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
+#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
+#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
+#else
+static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyDict_GetItem(dict, name);
+#else
+    PyDictEntry *ep;
+    PyDictObject *mp = (PyDictObject*) dict;
+    long hash = ((PyStringObject *) name)->ob_shash;
+    assert(hash != -1);
+    ep = (mp->ma_lookup)(mp, name, hash);
+    if (ep == NULL) {
+        return NULL;
+    }
+    return ep->me_value;
+#endif
+}
+#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
+#endif
+#if CYTHON_USE_TYPE_SLOTS
+  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
+  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
+  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
+#else
+  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
+  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
+  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
+#else
+  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
+#endif
+#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
+#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
+    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
+    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
+    PyObject_GC_Del(obj);\
+    Py_DECREF(type);\
+}
+#else
+#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+  #define CYTHON_PEP393_ENABLED 1
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
+  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
+#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
+  #define CYTHON_PEP393_ENABLED 1
+  #if PY_VERSION_HEX >= 0x030C0000
+    #define __Pyx_PyUnicode_READY(op)       (0)
+  #else
+    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
+                                                0 : _PyUnicode_Ready((PyObject *)(op)))
+  #endif
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
+  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
+  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
+  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
+  #if PY_VERSION_HEX >= 0x030C0000
+    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
+  #else
+    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
+    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
+    #else
+    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
+    #endif
+  #endif
+#else
+  #define CYTHON_PEP393_ENABLED 0
+  #define PyUnicode_1BYTE_KIND  1
+  #define PyUnicode_2BYTE_KIND  2
+  #define PyUnicode_4BYTE_KIND  4
+  #define __Pyx_PyUnicode_READY(op)       (0)
+  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
+  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
+  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
+  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
+  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
+  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
+  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = (Py_UNICODE) ch)
+  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
+#else
+  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
+  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
+      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
+#endif
+#if CYTHON_COMPILING_IN_PYPY
+  #if !defined(PyUnicode_DecodeUnicodeEscape)
+    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
+  #endif
+  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
+    #undef PyUnicode_Contains
+    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
+  #endif
+  #if !defined(PyByteArray_Check)
+    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
+  #endif
+  #if !defined(PyObject_Format)
+    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
+  #endif
+#endif
+#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
+#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
+#else
+  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
+#endif
+#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
+  #define PyObject_ASCII(o)            PyObject_Repr(o)
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBaseString_Type            PyUnicode_Type
+  #define PyStringObject               PyUnicodeObject
+  #define PyString_Type                PyUnicode_Type
+  #define PyString_Check               PyUnicode_Check
+  #define PyString_CheckExact          PyUnicode_CheckExact
+#ifndef PyObject_Unicode
+  #define PyObject_Unicode             PyObject_Str
+#endif
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
+  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
+#else
+  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
+  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON
+  #define __Pyx_PySequence_ListKeepNew(obj)\
+    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
+#else
+  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
+#endif
+#ifndef PySet_CheckExact
+  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
+#endif
+#if PY_VERSION_HEX >= 0x030900A4
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
+#else
+  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
+  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
+#endif
+#if CYTHON_ASSUME_SAFE_MACROS
+  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
+  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
+  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
+  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
+  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
+  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
+  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
+  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
+  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
+#else
+  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
+  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
+  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
+  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
+  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
+  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
+  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
+  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
+  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
+#endif
+#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
+  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
+#else
+  static CYTHON_INLINE PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
+      PyObject *module = PyImport_AddModule(name);
+      Py_XINCREF(module);
+      return module;
+  }
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyIntObject                  PyLongObject
+  #define PyInt_Type                   PyLong_Type
+  #define PyInt_Check(op)              PyLong_Check(op)
+  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
+  #define __Pyx_Py3Int_Check(op)       PyLong_Check(op)
+  #define __Pyx_Py3Int_CheckExact(op)  PyLong_CheckExact(op)
+  #define PyInt_FromString             PyLong_FromString
+  #define PyInt_FromUnicode            PyLong_FromUnicode
+  #define PyInt_FromLong               PyLong_FromLong
+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
+  #define PyInt_AsLong                 PyLong_AsLong
+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
+  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
+  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
+  #define PyNumber_Int                 PyNumber_Long
+#else
+  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
+  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
+#endif
+#if PY_MAJOR_VERSION >= 3
+  #define PyBoolObject                 PyLongObject
+#endif
+#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
+  #ifndef PyUnicode_InternFromString
+    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
+  #endif
+#endif
+#if PY_VERSION_HEX < 0x030200A4
+  typedef long Py_hash_t;
+  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
+  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
+#else
+  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
+  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
+#endif
+#if CYTHON_USE_ASYNC_SLOTS
+  #if PY_VERSION_HEX >= 0x030500B1
+    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
+    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
+  #else
+    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
+  #endif
+#else
+  #define __Pyx_PyType_AsAsync(obj) NULL
+#endif
+#ifndef __Pyx_PyAsyncMethodsStruct
+    typedef struct {
+        unaryfunc am_await;
+        unaryfunc am_aiter;
+        unaryfunc am_anext;
+    } __Pyx_PyAsyncMethodsStruct;
+#endif
+
+#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
+  #if !defined(_USE_MATH_DEFINES)
+    #define _USE_MATH_DEFINES
+  #endif
+#endif
+#include <math.h>
+#ifdef NAN
+#define __PYX_NAN() ((float) NAN)
+#else
+static CYTHON_INLINE float __PYX_NAN() {
+  float value;
+  memset(&value, 0xFF, sizeof(value));
+  return value;
+}
+#endif
+#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
+#define __Pyx_truncl trunc
+#else
+#define __Pyx_truncl truncl
+#endif
+
+#define __PYX_MARK_ERR_POS(f_index, lineno) \
+    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__;  (void)__pyx_clineno; }
+#define __PYX_ERR(f_index, lineno, Ln_error) \
+    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
+
+#ifdef CYTHON_EXTERN_C
+    #undef __PYX_EXTERN_C
+    #define __PYX_EXTERN_C CYTHON_EXTERN_C
+#elif defined(__PYX_EXTERN_C)
+    #ifdef _MSC_VER
+    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
+    #else
+    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
+    #endif
+#else
+    #define __PYX_EXTERN_C extern "C++"
+#endif
+
+#define __PYX_HAVE__insightface__thirdparty__face3d__mesh__cython__mesh_core_cython
+#define __PYX_HAVE_API__insightface__thirdparty__face3d__mesh__cython__mesh_core_cython
+/* Early includes */
+#include <string.h>
+#include <stdio.h>
+
+    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
+    
+#include "numpy/arrayobject.h"
+#include "numpy/ndarrayobject.h"
+#include "numpy/ndarraytypes.h"
+#include "numpy/arrayscalars.h"
+#include "numpy/ufuncobject.h"
+#include <string>
+#include "ios"
+#include "new"
+#include "stdexcept"
+#include "typeinfo"
+#include "mesh_core.h"
+#ifdef _OPENMP
+#include <omp.h>
+#endif /* _OPENMP */
+
+#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
+#define CYTHON_WITHOUT_ASSERTIONS
+#endif
+
+typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
+                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
+
+#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
+#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
+#define __PYX_DEFAULT_STRING_ENCODING ""
+#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
+#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#define __Pyx_uchar_cast(c) ((unsigned char)c)
+#define __Pyx_long_cast(x) ((long)x)
+#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
+    (sizeof(type) < sizeof(Py_ssize_t))  ||\
+    (sizeof(type) > sizeof(Py_ssize_t) &&\
+          likely(v < (type)PY_SSIZE_T_MAX ||\
+                 v == (type)PY_SSIZE_T_MAX)  &&\
+          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
+                                v == (type)PY_SSIZE_T_MIN)))  ||\
+    (sizeof(type) == sizeof(Py_ssize_t) &&\
+          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
+                               v == (type)PY_SSIZE_T_MAX)))  )
+static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
+    return (size_t) i < (size_t) limit;
+}
+#if defined (__cplusplus) && __cplusplus >= 201103L
+    #include <cstdlib>
+    #define __Pyx_sst_abs(value) std::abs(value)
+#elif SIZEOF_INT >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) abs(value)
+#elif SIZEOF_LONG >= SIZEOF_SIZE_T
+    #define __Pyx_sst_abs(value) labs(value)
+#elif defined (_MSC_VER)
+    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
+#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+    #define __Pyx_sst_abs(value) llabs(value)
+#elif defined (__GNUC__)
+    #define __Pyx_sst_abs(value) __builtin_llabs(value)
+#else
+    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
+#endif
+static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
+static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
+#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
+#define __Pyx_PyBytes_FromString        PyBytes_FromString
+#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
+#if PY_MAJOR_VERSION < 3
+    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
+#else
+    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
+    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
+#endif
+#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
+#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
+#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
+#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
+#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
+#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
+#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
+#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
+#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
+#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
+#define __Pyx_PySequence_Tuple(obj)\
+    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
+#if CYTHON_ASSUME_SAFE_MACROS
+#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
+#else
+#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
+#endif
+#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
+#else
+#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
+#endif
+#if CYTHON_USE_PYLONG_INTERNALS
+  #if PY_VERSION_HEX >= 0x030C00A7
+  #ifndef _PyLong_SIGN_MASK
+    #define _PyLong_SIGN_MASK 3
+  #endif
+  #ifndef _PyLong_NON_SIZE_BITS
+    #define _PyLong_NON_SIZE_BITS 3
+  #endif
+  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
+  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
+  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
+  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
+  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
+  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
+  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
+  #define __Pyx_PyLong_SignedDigitCount(x)\
+        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
+  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
+    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
+    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
+  #else
+    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
+    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
+  #endif
+  typedef Py_ssize_t  __Pyx_compact_pylong;
+  typedef size_t  __Pyx_compact_upylong;
+  #else
+  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
+  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
+  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
+  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
+  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
+  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
+  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
+  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
+  #define __Pyx_PyLong_CompactValue(x)\
+        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
+  typedef sdigit  __Pyx_compact_pylong;
+  typedef digit  __Pyx_compact_upylong;
+  #endif
+  #if PY_VERSION_HEX >= 0x030C00A5
+  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
+  #else
+  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
+  #endif
+#endif
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+#include <string.h>
+static int __Pyx_sys_getdefaultencoding_not_ascii;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = (char) c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#include <string.h>
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
+
+#if !CYTHON_USE_MODULE_STATE
+static PyObject *__pyx_m = NULL;
+#endif
+static int __pyx_lineno;
+static int __pyx_clineno = 0;
+static const char * __pyx_cfilenm = __FILE__;
+static const char *__pyx_filename;
+
+/* Header.proto */
+#if !defined(CYTHON_CCOMPLEX)
+  #if defined(__cplusplus)
+    #define CYTHON_CCOMPLEX 1
+  #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER))
+    #define CYTHON_CCOMPLEX 1
+  #else
+    #define CYTHON_CCOMPLEX 0
+  #endif
+#endif
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #include <complex>
+  #else
+    #include <complex.h>
+  #endif
+#endif
+#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
+  #undef _Complex_I
+  #define _Complex_I 1.0fj
+#endif
+
+/* #### Code section: filename_table ### */
+
+static const char *__pyx_f[] = {
+  "<stringsource>",
+  "__init__.cython-30.pxd",
+  "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx",
+  "type.pxd",
+};
+/* #### Code section: utility_code_proto_before_types ### */
+/* ForceInitThreads.proto */
+#ifndef __PYX_FORCE_INIT_THREADS
+  #define __PYX_FORCE_INIT_THREADS 0
+#endif
+
+/* BufferFormatStructs.proto */
+struct __Pyx_StructField_;
+#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
+typedef struct {
+  const char* name;
+  struct __Pyx_StructField_* fields;
+  size_t size;
+  size_t arraysize[8];
+  int ndim;
+  char typegroup;
+  char is_unsigned;
+  int flags;
+} __Pyx_TypeInfo;
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  size_t new_count, enc_count;
+  size_t struct_alignment;
+  int is_complex;
+  char enc_type;
+  char new_packmode;
+  char enc_packmode;
+  char is_valid_array;
+} __Pyx_BufFmt_Context;
+
+/* #### Code section: numeric_typedefs ### */
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":770
+ * # in Cython to enable them only on the right systems.
+ * 
+ * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t
+ */
+typedef npy_int8 __pyx_t_5numpy_int8_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":771
+ * 
+ * ctypedef npy_int8       int8_t
+ * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int32      int32_t
+ * ctypedef npy_int64      int64_t
+ */
+typedef npy_int16 __pyx_t_5numpy_int16_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":772
+ * ctypedef npy_int8       int8_t
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_int64      int64_t
+ * #ctypedef npy_int96      int96_t
+ */
+typedef npy_int32 __pyx_t_5numpy_int32_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":773
+ * ctypedef npy_int16      int16_t
+ * ctypedef npy_int32      int32_t
+ * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_int96      int96_t
+ * #ctypedef npy_int128     int128_t
+ */
+typedef npy_int64 __pyx_t_5numpy_int64_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":777
+ * #ctypedef npy_int128     int128_t
+ * 
+ * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t
+ */
+typedef npy_uint8 __pyx_t_5numpy_uint8_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":778
+ * 
+ * ctypedef npy_uint8      uint8_t
+ * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint32     uint32_t
+ * ctypedef npy_uint64     uint64_t
+ */
+typedef npy_uint16 __pyx_t_5numpy_uint16_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":779
+ * ctypedef npy_uint8      uint8_t
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uint64     uint64_t
+ * #ctypedef npy_uint96     uint96_t
+ */
+typedef npy_uint32 __pyx_t_5numpy_uint32_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":780
+ * ctypedef npy_uint16     uint16_t
+ * ctypedef npy_uint32     uint32_t
+ * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_uint96     uint96_t
+ * #ctypedef npy_uint128    uint128_t
+ */
+typedef npy_uint64 __pyx_t_5numpy_uint64_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":784
+ * #ctypedef npy_uint128    uint128_t
+ * 
+ * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_float64    float64_t
+ * #ctypedef npy_float80    float80_t
+ */
+typedef npy_float32 __pyx_t_5numpy_float32_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":785
+ * 
+ * ctypedef npy_float32    float32_t
+ * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
+ * #ctypedef npy_float80    float80_t
+ * #ctypedef npy_float128   float128_t
+ */
+typedef npy_float64 __pyx_t_5numpy_float64_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":792
+ * ctypedef double complex complex128_t
+ * 
+ * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_ulonglong  ulonglong_t
+ * 
+ */
+typedef npy_longlong __pyx_t_5numpy_longlong_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":793
+ * 
+ * ctypedef npy_longlong   longlong_t
+ * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef npy_intp       intp_t
+ */
+typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":795
+ * ctypedef npy_ulonglong  ulonglong_t
+ * 
+ * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_uintp      uintp_t
+ * 
+ */
+typedef npy_intp __pyx_t_5numpy_intp_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":796
+ * 
+ * ctypedef npy_intp       intp_t
+ * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef npy_double     float_t
+ */
+typedef npy_uintp __pyx_t_5numpy_uintp_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":798
+ * ctypedef npy_uintp      uintp_t
+ * 
+ * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_double     double_t
+ * ctypedef npy_longdouble longdouble_t
+ */
+typedef npy_double __pyx_t_5numpy_float_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":799
+ * 
+ * ctypedef npy_double     float_t
+ * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
+ * ctypedef npy_longdouble longdouble_t
+ * 
+ */
+typedef npy_double __pyx_t_5numpy_double_t;
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":800
+ * ctypedef npy_double     float_t
+ * ctypedef npy_double     double_t
+ * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
+ * 
+ * ctypedef float complex       cfloat_t
+ */
+typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
+/* #### Code section: complex_type_declarations ### */
+/* Declarations.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    typedef ::std::complex< float > __pyx_t_float_complex;
+  #else
+    typedef float _Complex __pyx_t_float_complex;
+  #endif
+#else
+    typedef struct { float real, imag; } __pyx_t_float_complex;
+#endif
+static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
+
+/* Declarations.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    typedef ::std::complex< double > __pyx_t_double_complex;
+  #else
+    typedef double _Complex __pyx_t_double_complex;
+  #endif
+#else
+    typedef struct { double real, imag; } __pyx_t_double_complex;
+#endif
+static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
+
+/* Declarations.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    typedef ::std::complex< long double > __pyx_t_long_double_complex;
+  #else
+    typedef long double _Complex __pyx_t_long_double_complex;
+  #endif
+#else
+    typedef struct { long double real, imag; } __pyx_t_long_double_complex;
+#endif
+static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double);
+
+/* #### Code section: type_declarations ### */
+
+/*--- Type declarations ---*/
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":1096
+ * 
+ * # Iterator API added in v1.6
+ * ctypedef int (*NpyIter_IterNextFunc)(NpyIter* it) noexcept nogil             # <<<<<<<<<<<<<<
+ * ctypedef void (*NpyIter_GetMultiIndexFunc)(NpyIter* it, npy_intp* outcoords) noexcept nogil
+ * 
+ */
+typedef int (*__pyx_t_5numpy_NpyIter_IterNextFunc)(NpyIter *);
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":1097
+ * # Iterator API added in v1.6
+ * ctypedef int (*NpyIter_IterNextFunc)(NpyIter* it) noexcept nogil
+ * ctypedef void (*NpyIter_GetMultiIndexFunc)(NpyIter* it, npy_intp* outcoords) noexcept nogil             # <<<<<<<<<<<<<<
+ * 
+ * cdef extern from "numpy/arrayobject.h":
+ */
+typedef void (*__pyx_t_5numpy_NpyIter_GetMultiIndexFunc)(NpyIter *, npy_intp *);
+/* #### Code section: utility_code_proto ### */
+
+/* --- Runtime support code (head) --- */
+/* Refnanny.proto */
+#ifndef CYTHON_REFNANNY
+  #define CYTHON_REFNANNY 0
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+    void (*DECREF)(void*, PyObject*, Py_ssize_t);
+    void (*GOTREF)(void*, PyObject*, Py_ssize_t);
+    void (*GIVEREF)(void*, PyObject*, Py_ssize_t);
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+  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
+  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
+  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
+  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
+  #define __Pyx_XINCREF(r)  do { if((r) == NULL); else {__Pyx_INCREF(r); }} while(0)
+  #define __Pyx_XDECREF(r)  do { if((r) == NULL); else {__Pyx_DECREF(r); }} while(0)
+  #define __Pyx_XGOTREF(r)  do { if((r) == NULL); else {__Pyx_GOTREF(r); }} while(0)
+  #define __Pyx_XGIVEREF(r) do { if((r) == NULL); else {__Pyx_GIVEREF(r);}} while(0)
+#else
+  #define __Pyx_RefNannyDeclarations
+  #define __Pyx_RefNannySetupContext(name, acquire_gil)
+  #define __Pyx_RefNannyFinishContextNogil()
+  #define __Pyx_RefNannyFinishContext()
+  #define __Pyx_INCREF(r) Py_INCREF(r)
+  #define __Pyx_DECREF(r) Py_DECREF(r)
+  #define __Pyx_GOTREF(r)
+  #define __Pyx_GIVEREF(r)
+  #define __Pyx_XINCREF(r) Py_XINCREF(r)
+  #define __Pyx_XDECREF(r) Py_XDECREF(r)
+  #define __Pyx_XGOTREF(r)
+  #define __Pyx_XGIVEREF(r)
+#endif
+#define __Pyx_Py_XDECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; Py_XDECREF(tmp);\
+    } while (0)
+#define __Pyx_XDECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_XDECREF(tmp);\
+    } while (0)
+#define __Pyx_DECREF_SET(r, v) do {\
+        PyObject *tmp = (PyObject *) r;\
+        r = v; __Pyx_DECREF(tmp);\
+    } while (0)
+#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
+#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
+
+/* PyErrExceptionMatches.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
+static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
+#else
+#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
+#endif
+
+/* PyThreadStateGet.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
+#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
+#if PY_VERSION_HEX >= 0x030C00A6
+#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
+#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
+#else
+#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
+#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
+#endif
+#else
+#define __Pyx_PyThreadState_declare
+#define __Pyx_PyThreadState_assign
+#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
+#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
+#endif
+
+/* PyErrFetchRestore.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
+#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
+#else
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#endif
+#else
+#define __Pyx_PyErr_Clear() PyErr_Clear()
+#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
+#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
+#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
+#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
+#endif
+
+/* PyObjectGetAttrStr.proto */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
+#else
+#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
+#endif
+
+/* PyObjectGetAttrStrNoError.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
+
+/* GetBuiltinName.proto */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name);
+
+/* GetTopmostException.proto */
+#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
+static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
+#endif
+
+/* SaveResetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
+#else
+#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
+#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
+#endif
+
+/* GetException.proto */
+#if CYTHON_FAST_THREAD_STATE
+#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
+#endif
+
+/* PyObjectCall.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
+#else
+#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
+#endif
+
+/* RaiseException.proto */
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
+
+/* TupleAndListFromArray.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
+static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
+#endif
+
+/* IncludeStringH.proto */
+#include <string.h>
+
+/* BytesEquals.proto */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* UnicodeEquals.proto */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
+
+/* fastcall.proto */
+#if CYTHON_AVOID_BORROWED_REFS
+    #define __Pyx_Arg_VARARGS(args, i) PySequence_GetItem(args, i)
+#elif CYTHON_ASSUME_SAFE_MACROS
+    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GET_ITEM(args, i)
+#else
+    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GetItem(args, i)
+#endif
+#if CYTHON_AVOID_BORROWED_REFS
+    #define __Pyx_Arg_NewRef_VARARGS(arg) __Pyx_NewRef(arg)
+    #define __Pyx_Arg_XDECREF_VARARGS(arg) Py_XDECREF(arg)
+#else
+    #define __Pyx_Arg_NewRef_VARARGS(arg) arg
+    #define __Pyx_Arg_XDECREF_VARARGS(arg)
+#endif
+#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
+#define __Pyx_KwValues_VARARGS(args, nargs) NULL
+#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
+#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
+#if CYTHON_METH_FASTCALL
+    #define __Pyx_Arg_FASTCALL(args, i) args[i]
+    #define __Pyx_NumKwargs_FASTCALL(kwds) PyTuple_GET_SIZE(kwds)
+    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
+    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
+    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
+  #else
+    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
+  #endif
+    #define __Pyx_Arg_NewRef_FASTCALL(arg) arg  /* no-op, __Pyx_Arg_FASTCALL is direct and this needs
+                                                   to have the same reference counting */
+    #define __Pyx_Arg_XDECREF_FASTCALL(arg)
+#else
+    #define __Pyx_Arg_FASTCALL __Pyx_Arg_VARARGS
+    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
+    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
+    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
+    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
+    #define __Pyx_Arg_NewRef_FASTCALL(arg) __Pyx_Arg_NewRef_VARARGS(arg)
+    #define __Pyx_Arg_XDECREF_FASTCALL(arg) __Pyx_Arg_XDECREF_VARARGS(arg)
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
+#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
+#else
+#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
+#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
+#endif
+
+/* RaiseArgTupleInvalid.proto */
+static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
+    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
+
+/* RaiseDoubleKeywords.proto */
+static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
+
+/* ParseKeywords.proto */
+static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
+    PyObject **argnames[],
+    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,
+    const char* function_name);
+
+/* ArgTypeTest.proto */
+#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
+    ((likely(__Pyx_IS_TYPE(obj, type) | (none_allowed && (obj == Py_None)))) ? 1 :\
+        __Pyx__ArgTypeTest(obj, type, name, exact))
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
+
+/* IsLittleEndian.proto */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);
+
+/* BufferFormatCheck.proto */
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type);
+
+/* BufferGetAndValidate.proto */
+#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
+    ((obj == Py_None || obj == NULL) ?\
+    (__Pyx_ZeroBuffer(buf), 0) :\
+    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
+static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
+    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
+static void __Pyx_ZeroBuffer(Py_buffer* buf);
+static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
+static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
+static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };
+
+/* MoveIfSupported.proto */
+#if CYTHON_USE_CPP_STD_MOVE
+  #include <utility>
+  #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
+#else
+  #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
+#endif
+
+/* TypeImport.proto */
+#ifndef __PYX_HAVE_RT_ImportType_proto_3_0_10
+#define __PYX_HAVE_RT_ImportType_proto_3_0_10
+#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
+#include <stdalign.h>
+#endif
+#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || __cplusplus >= 201103L
+#define __PYX_GET_STRUCT_ALIGNMENT_3_0_10(s) alignof(s)
+#else
+#define __PYX_GET_STRUCT_ALIGNMENT_3_0_10(s) sizeof(void*)
+#endif
+enum __Pyx_ImportType_CheckSize_3_0_10 {
+   __Pyx_ImportType_CheckSize_Error_3_0_10 = 0,
+   __Pyx_ImportType_CheckSize_Warn_3_0_10 = 1,
+   __Pyx_ImportType_CheckSize_Ignore_3_0_10 = 2
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+static PyTypeObject *__Pyx_ImportType_3_0_10(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_10 check_size);
+#endif
+
+/* Import.proto */
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
+
+/* ImportDottedModule.proto */
+static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
+#if PY_MAJOR_VERSION >= 3
+static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
+#endif
+
+/* IncludeStructmemberH.proto */
+#include <structmember.h>
+
+/* FixUpExtensionType.proto */
+#if CYTHON_USE_TYPE_SPECS
+static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
+#endif
+
+/* FetchSharedCythonModule.proto */
+static PyObject *__Pyx_FetchSharedCythonABIModule(void);
+
+/* FetchCommonType.proto */
+#if !CYTHON_USE_TYPE_SPECS
+static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
+#else
+static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases);
+#endif
+
+/* PyMethodNew.proto */
+#if CYTHON_COMPILING_IN_LIMITED_API
+static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
+    PyObject *typesModule=NULL, *methodType=NULL, *result=NULL;
+    CYTHON_UNUSED_VAR(typ);
+    if (!self)
+        return __Pyx_NewRef(func);
+    typesModule = PyImport_ImportModule("types");
+    if (!typesModule) return NULL;
+    methodType = PyObject_GetAttrString(typesModule, "MethodType");
+    Py_DECREF(typesModule);
+    if (!methodType) return NULL;
+    result = PyObject_CallFunctionObjArgs(methodType, func, self, NULL);
+    Py_DECREF(methodType);
+    return result;
+}
+#elif PY_MAJOR_VERSION >= 3
+static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
+    CYTHON_UNUSED_VAR(typ);
+    if (!self)
+        return __Pyx_NewRef(func);
+    return PyMethod_New(func, self);
+}
+#else
+    #define __Pyx_PyMethod_New PyMethod_New
+#endif
+
+/* PyVectorcallFastCallDict.proto */
+#if CYTHON_METH_FASTCALL
+static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
+#endif
+
+/* CythonFunctionShared.proto */
+#define __Pyx_CyFunction_USED
+#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
+#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
+#define __Pyx_CYFUNCTION_CCLASS        0x04
+#define __Pyx_CYFUNCTION_COROUTINE     0x08
+#define __Pyx_CyFunction_GetClosure(f)\
+    (((__pyx_CyFunctionObject *) (f))->func_closure)
+#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
+  #define __Pyx_CyFunction_GetClassObj(f)\
+      (((__pyx_CyFunctionObject *) (f))->func_classobj)
+#else
+  #define __Pyx_CyFunction_GetClassObj(f)\
+      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
+#endif
+#define __Pyx_CyFunction_SetClassObj(f, classobj)\
+    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
+#define __Pyx_CyFunction_Defaults(type, f)\
+    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
+#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
+    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
+typedef struct {
+#if CYTHON_COMPILING_IN_LIMITED_API
+    PyObject_HEAD
+    PyObject *func;
+#elif PY_VERSION_HEX < 0x030900B1
+    PyCFunctionObject func;
+#else
+    PyCMethodObject func;
+#endif
+#if CYTHON_BACKPORT_VECTORCALL
+    __pyx_vectorcallfunc func_vectorcall;
+#endif
+#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
+    PyObject *func_weakreflist;
+#endif
+    PyObject *func_dict;
+    PyObject *func_name;
+    PyObject *func_qualname;
+    PyObject *func_doc;
+    PyObject *func_globals;
+    PyObject *func_code;
+    PyObject *func_closure;
+#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
+    PyObject *func_classobj;
+#endif
+    void *defaults;
+    int defaults_pyobjects;
+    size_t defaults_size;
+    int flags;
+    PyObject *defaults_tuple;
+    PyObject *defaults_kwdict;
+    PyObject *(*defaults_getter)(PyObject *);
+    PyObject *func_annotations;
+    PyObject *func_is_coroutine;
+} __pyx_CyFunctionObject;
+#undef __Pyx_CyOrPyCFunction_Check
+#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
+#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
+#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
+static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc);
+#undef __Pyx_IsSameCFunction
+#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
+static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
+                                      int flags, PyObject* qualname,
+                                      PyObject *closure,
+                                      PyObject *module, PyObject *globals,
+                                      PyObject* code);
+static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
+static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
+                                                         size_t size,
+                                                         int pyobjects);
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
+                                                            PyObject *tuple);
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
+                                                             PyObject *dict);
+static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
+                                                              PyObject *dict);
+static int __pyx_CyFunction_init(PyObject *module);
+#if CYTHON_METH_FASTCALL
+static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
+static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
+static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
+static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
+#if CYTHON_BACKPORT_VECTORCALL
+#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
+#else
+#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
+#endif
+#endif
+
+/* CythonFunction.proto */
+static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
+                                      int flags, PyObject* qualname,
+                                      PyObject *closure,
+                                      PyObject *module, PyObject *globals,
+                                      PyObject* code);
+
+/* PyDictVersioning.proto */
+#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
+#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
+    (version_var) = __PYX_GET_DICT_VERSION(dict);\
+    (cache_var) = (value);
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
+    static PY_UINT64_T __pyx_dict_version = 0;\
+    static PyObject *__pyx_dict_cached_value = NULL;\
+    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
+        (VAR) = __pyx_dict_cached_value;\
+    } else {\
+        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
+        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
+    }\
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
+#else
+#define __PYX_GET_DICT_VERSION(dict)  (0)
+#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
+#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
+#endif
+
+/* CLineInTraceback.proto */
+#ifdef CYTHON_CLINE_IN_TRACEBACK
+#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
+#else
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
+#endif
+
+/* CodeObjectCache.proto */
+#if !CYTHON_COMPILING_IN_LIMITED_API
+typedef struct {
+    PyCodeObject* code_object;
+    int code_line;
+} __Pyx_CodeObjectCacheEntry;
+struct __Pyx_CodeObjectCache {
+    int count;
+    int max_count;
+    __Pyx_CodeObjectCacheEntry* entries;
+};
+static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
+static PyCodeObject *__pyx_find_code_object(int code_line);
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
+#endif
+
+/* AddTraceback.proto */
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename);
+
+/* BufferStructDeclare.proto */
+typedef struct {
+  Py_ssize_t shape, strides, suboffsets;
+} __Pyx_Buf_DimInfo;
+typedef struct {
+  size_t refcount;
+  Py_buffer pybuffer;
+} __Pyx_Buffer;
+typedef struct {
+  __Pyx_Buffer *rcbuffer;
+  char *data;
+  __Pyx_Buf_DimInfo diminfo[8];
+} __Pyx_LocalBuf_ND;
+
+#if PY_MAJOR_VERSION < 3
+    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+    static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+    #define __Pyx_GetBuffer PyObject_GetBuffer
+    #define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+
+/* GCCDiagnostics.proto */
+#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
+#define __Pyx_HAS_GCC_DIAGNOSTIC
+#endif
+
+/* RealImag.proto */
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #define __Pyx_CREAL(z) ((z).real())
+    #define __Pyx_CIMAG(z) ((z).imag())
+  #else
+    #define __Pyx_CREAL(z) (__real__(z))
+    #define __Pyx_CIMAG(z) (__imag__(z))
+  #endif
+#else
+    #define __Pyx_CREAL(z) ((z).real)
+    #define __Pyx_CIMAG(z) ((z).imag)
+#endif
+#if defined(__cplusplus) && CYTHON_CCOMPLEX\
+        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
+    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
+    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
+#else
+    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
+    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_float(a, b) ((a)-(b))
+    #define __Pyx_c_prod_float(a, b) ((a)*(b))
+    #define __Pyx_c_quot_float(a, b) ((a)/(b))
+    #define __Pyx_c_neg_float(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
+    #define __Pyx_c_conj_float(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (::std::abs(z))
+        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_float(z) ((z)==0)
+    #define __Pyx_c_conj_float(z)    (conjf(z))
+    #if 1
+        #define __Pyx_c_abs_float(z)     (cabsf(z))
+        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
+    #endif
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_double(a, b) ((a)-(b))
+    #define __Pyx_c_prod_double(a, b) ((a)*(b))
+    #define __Pyx_c_quot_double(a, b) ((a)/(b))
+    #define __Pyx_c_neg_double(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
+    #define __Pyx_c_conj_double(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (::std::abs(z))
+        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_double(z) ((z)==0)
+    #define __Pyx_c_conj_double(z)    (conj(z))
+    #if 1
+        #define __Pyx_c_abs_double(z)     (cabs(z))
+        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
+    #endif
+#endif
+
+/* Arithmetic.proto */
+#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
+    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
+    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
+    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
+    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
+    #define __Pyx_c_neg_long__double(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
+    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
+    #if 1
+        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
+        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
+    #endif
+  #else
+    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
+    #define __Pyx_c_conj_long__double(z)    (conjl(z))
+    #if 1
+        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
+        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
+    #endif
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
+    #if 1
+        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
+        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
+    #endif
+#endif
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+/* CppExceptionConversion.proto */
+#ifndef __Pyx_CppExn2PyErr
+#include <new>
+#include <typeinfo>
+#include <stdexcept>
+#include <ios>
+static void __Pyx_CppExn2PyErr() {
+  try {
+    if (PyErr_Occurred())
+      ; // let the latest Python exn pass through and ignore the current one
+    else
+      throw;
+  } catch (const std::bad_alloc& exn) {
+    PyErr_SetString(PyExc_MemoryError, exn.what());
+  } catch (const std::bad_cast& exn) {
+    PyErr_SetString(PyExc_TypeError, exn.what());
+  } catch (const std::bad_typeid& exn) {
+    PyErr_SetString(PyExc_TypeError, exn.what());
+  } catch (const std::domain_error& exn) {
+    PyErr_SetString(PyExc_ValueError, exn.what());
+  } catch (const std::invalid_argument& exn) {
+    PyErr_SetString(PyExc_ValueError, exn.what());
+  } catch (const std::ios_base::failure& exn) {
+    PyErr_SetString(PyExc_IOError, exn.what());
+  } catch (const std::out_of_range& exn) {
+    PyErr_SetString(PyExc_IndexError, exn.what());
+  } catch (const std::overflow_error& exn) {
+    PyErr_SetString(PyExc_OverflowError, exn.what());
+  } catch (const std::range_error& exn) {
+    PyErr_SetString(PyExc_ArithmeticError, exn.what());
+  } catch (const std::underflow_error& exn) {
+    PyErr_SetString(PyExc_ArithmeticError, exn.what());
+  } catch (const std::exception& exn) {
+    PyErr_SetString(PyExc_RuntimeError, exn.what());
+  }
+  catch (...)
+  {
+    PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
+  }
+}
+#endif
+
+/* FormatTypeName.proto */
+#if CYTHON_COMPILING_IN_LIMITED_API
+typedef PyObject *__Pyx_TypeName;
+#define __Pyx_FMT_TYPENAME "%U"
+static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
+#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
+#else
+typedef const char *__Pyx_TypeName;
+#define __Pyx_FMT_TYPENAME "%.200s"
+#define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
+#define __Pyx_DECREF_TypeName(obj)
+#endif
+
+/* CIntToPy.proto */
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+/* CIntFromPy.proto */
+static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
+
+/* FastTypeChecks.proto */
+#if CYTHON_COMPILING_IN_CPYTHON
+#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
+#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
+#else
+#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
+#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
+#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
+#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
+#endif
+#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
+#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
+
+/* CheckBinaryVersion.proto */
+static unsigned long __Pyx_get_runtime_version(void);
+static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);
+
+/* InitStrings.proto */
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
+
+/* #### Code section: module_declarations ### */
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self); /* proto*/
+static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/
+static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/
+
+/* Module declarations from "libc.string" */
+
+/* Module declarations from "libc.stdio" */
+
+/* Module declarations from "__builtin__" */
+
+/* Module declarations from "cpython.type" */
+
+/* Module declarations from "cpython" */
+
+/* Module declarations from "cpython.object" */
+
+/* Module declarations from "cpython.ref" */
+
+/* Module declarations from "numpy" */
+
+/* Module declarations from "numpy" */
+static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/
+
+/* Module declarations from "libcpp.string" */
+
+/* Module declarations from "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython" */
+static std::string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(PyObject *); /*proto*/
+/* #### Code section: typeinfo ### */
+static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
+static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, __PYX_IS_UNSIGNED(int) ? 'U' : 'I', __PYX_IS_UNSIGNED(int), 0 };
+/* #### Code section: before_global_var ### */
+#define __Pyx_MODULE_NAME "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython"
+extern int __pyx_module_is_main_insightface__thirdparty__face3d__mesh__cython__mesh_core_cython;
+int __pyx_module_is_main_insightface__thirdparty__face3d__mesh__cython__mesh_core_cython = 0;
+
+/* Implementation of "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython" */
+/* #### Code section: global_var ### */
+static PyObject *__pyx_builtin_ImportError;
+/* #### Code section: string_decls ### */
+static const char __pyx_k_c[] = "c";
+static const char __pyx_k_h[] = "h";
+static const char __pyx_k_w[] = "w";
+static const char __pyx_k__3[] = "*";
+static const char __pyx_k_np[] = "np";
+static const char __pyx_k__14[] = "?";
+static const char __pyx_k_main[] = "__main__";
+static const char __pyx_k_name[] = "__name__";
+static const char __pyx_k_ntri[] = "ntri";
+static const char __pyx_k_nver[] = "nver";
+static const char __pyx_k_spec[] = "__spec__";
+static const char __pyx_k_test[] = "__test__";
+static const char __pyx_k_image[] = "image";
+static const char __pyx_k_numpy[] = "numpy";
+static const char __pyx_k_tex_c[] = "tex_c";
+static const char __pyx_k_tex_h[] = "tex_h";
+static const char __pyx_k_tex_w[] = "tex_w";
+static const char __pyx_k_colors[] = "colors";
+static const char __pyx_k_import[] = "__import__";
+static const char __pyx_k_normal[] = "normal";
+static const char __pyx_k_ntexver[] = "ntexver";
+static const char __pyx_k_texture[] = "texture";
+static const char __pyx_k_filename[] = "filename";
+static const char __pyx_k_mtl_name[] = "mtl_name";
+static const char __pyx_k_tex_nver[] = "tex_nver";
+static const char __pyx_k_vertices[] = "vertices";
+static const char __pyx_k_triangles[] = "triangles";
+static const char __pyx_k_uv_coords[] = "uv_coords";
+static const char __pyx_k_tex_coords[] = "tex_coords";
+static const char __pyx_k_tri_normal[] = "tri_normal";
+static const char __pyx_k_ImportError[] = "ImportError";
+static const char __pyx_k_depth_buffer[] = "depth_buffer";
+static const char __pyx_k_initializing[] = "_initializing";
+static const char __pyx_k_is_coroutine[] = "_is_coroutine";
+static const char __pyx_k_mapping_type[] = "mapping_type";
+static const char __pyx_k_tex_triangles[] = "tex_triangles";
+static const char __pyx_k_get_normal_core[] = "get_normal_core";
+static const char __pyx_k_triangle_buffer[] = "triangle_buffer";
+static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
+static const char __pyx_k_barycentric_weight[] = "barycentric_weight";
+static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
+static const char __pyx_k_render_colors_core[] = "render_colors_core";
+static const char __pyx_k_render_texture_core[] = "render_texture_core";
+static const char __pyx_k_rasterize_triangles_core[] = "rasterize_triangles_core";
+static const char __pyx_k_insightface_thirdparty_face3d_me[] = "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx";
+static const char __pyx_k_numpy__core_multiarray_failed_to[] = "numpy._core.multiarray failed to import";
+static const char __pyx_k_numpy__core_umath_failed_to_impo[] = "numpy._core.umath failed to import";
+static const char __pyx_k_write_obj_with_colors_texture_co[] = "write_obj_with_colors_texture_core";
+static const char __pyx_k_insightface_thirdparty_face3d_me_2[] = "insightface.thirdparty.face3d.mesh.cython.mesh_core_cython";
+/* #### Code section: decls ### */
+static PyObject *__pyx_pf_11insightface_10thirdparty_6face3d_4mesh_6cython_16mesh_core_cython_get_normal_core(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_normal, PyArrayObject *__pyx_v_tri_normal, PyArrayObject *__pyx_v_triangles, int __pyx_v_ntri); /* proto */
+static PyObject *__pyx_pf_11insightface_10thirdparty_6face3d_4mesh_6cython_16mesh_core_cython_2rasterize_triangles_core(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vertices, PyArrayObject *__pyx_v_triangles, PyArrayObject *__pyx_v_depth_buffer, PyArrayObject *__pyx_v_triangle_buffer, PyArrayObject *__pyx_v_barycentric_weight, int __pyx_v_nver, int __pyx_v_ntri, int __pyx_v_h, int __pyx_v_w); /* proto */
+static PyObject *__pyx_pf_11insightface_10thirdparty_6face3d_4mesh_6cython_16mesh_core_cython_4render_colors_core(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_image, PyArrayObject *__pyx_v_vertices, PyArrayObject *__pyx_v_triangles, PyArrayObject *__pyx_v_colors, PyArrayObject *__pyx_v_depth_buffer, int __pyx_v_nver, int __pyx_v_ntri, int __pyx_v_h, int __pyx_v_w, int __pyx_v_c); /* proto */
+static PyObject *__pyx_pf_11insightface_10thirdparty_6face3d_4mesh_6cython_16mesh_core_cython_6render_texture_core(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_image, PyArrayObject *__pyx_v_vertices, PyArrayObject *__pyx_v_triangles, PyArrayObject *__pyx_v_texture, PyArrayObject *__pyx_v_tex_coords, PyArrayObject *__pyx_v_tex_triangles, PyArrayObject *__pyx_v_depth_buffer, int __pyx_v_nver, int __pyx_v_tex_nver, int __pyx_v_ntri, int __pyx_v_h, int __pyx_v_w, int __pyx_v_c, int __pyx_v_tex_h, int __pyx_v_tex_w, int __pyx_v_tex_c, int __pyx_v_mapping_type); /* proto */
+static PyObject *__pyx_pf_11insightface_10thirdparty_6face3d_4mesh_6cython_16mesh_core_cython_8write_obj_with_colors_texture_core(CYTHON_UNUSED PyObject *__pyx_self, std::string __pyx_v_filename, std::string __pyx_v_mtl_name, PyArrayObject *__pyx_v_vertices, PyArrayObject *__pyx_v_triangles, PyArrayObject *__pyx_v_colors, PyArrayObject *__pyx_v_uv_coords, int __pyx_v_nver, int __pyx_v_ntri, int __pyx_v_ntexver); /* proto */
+/* #### Code section: late_includes ### */
+/* #### Code section: module_state ### */
+typedef struct {
+  PyObject *__pyx_d;
+  PyObject *__pyx_b;
+  PyObject *__pyx_cython_runtime;
+  PyObject *__pyx_empty_tuple;
+  PyObject *__pyx_empty_bytes;
+  PyObject *__pyx_empty_unicode;
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+  PyTypeObject *__pyx_GeneratorType;
+  #endif
+  #ifdef __Pyx_IterableCoroutine_USED
+  PyTypeObject *__pyx_IterableCoroutineType;
+  #endif
+  #ifdef __Pyx_Coroutine_USED
+  PyTypeObject *__pyx_CoroutineAwaitType;
+  #endif
+  #ifdef __Pyx_Coroutine_USED
+  PyTypeObject *__pyx_CoroutineType;
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  PyTypeObject *__pyx_ptype_7cpython_4type_type;
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  PyTypeObject *__pyx_ptype_5numpy_dtype;
+  PyTypeObject *__pyx_ptype_5numpy_flatiter;
+  PyTypeObject *__pyx_ptype_5numpy_broadcast;
+  PyTypeObject *__pyx_ptype_5numpy_ndarray;
+  PyTypeObject *__pyx_ptype_5numpy_generic;
+  PyTypeObject *__pyx_ptype_5numpy_number;
+  PyTypeObject *__pyx_ptype_5numpy_integer;
+  PyTypeObject *__pyx_ptype_5numpy_signedinteger;
+  PyTypeObject *__pyx_ptype_5numpy_unsignedinteger;
+  PyTypeObject *__pyx_ptype_5numpy_inexact;
+  PyTypeObject *__pyx_ptype_5numpy_floating;
+  PyTypeObject *__pyx_ptype_5numpy_complexfloating;
+  PyTypeObject *__pyx_ptype_5numpy_flexible;
+  PyTypeObject *__pyx_ptype_5numpy_character;
+  PyTypeObject *__pyx_ptype_5numpy_ufunc;
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  #if CYTHON_USE_MODULE_STATE
+  #endif
+  PyObject *__pyx_n_s_ImportError;
+  PyObject *__pyx_n_s__14;
+  PyObject *__pyx_n_s__3;
+  PyObject *__pyx_n_s_asyncio_coroutines;
+  PyObject *__pyx_n_s_barycentric_weight;
+  PyObject *__pyx_n_s_c;
+  PyObject *__pyx_n_s_cline_in_traceback;
+  PyObject *__pyx_n_s_colors;
+  PyObject *__pyx_n_s_depth_buffer;
+  PyObject *__pyx_n_s_filename;
+  PyObject *__pyx_n_s_get_normal_core;
+  PyObject *__pyx_n_s_h;
+  PyObject *__pyx_n_s_image;
+  PyObject *__pyx_n_s_import;
+  PyObject *__pyx_n_s_initializing;
+  PyObject *__pyx_kp_s_insightface_thirdparty_face3d_me;
+  PyObject *__pyx_n_s_insightface_thirdparty_face3d_me_2;
+  PyObject *__pyx_n_s_is_coroutine;
+  PyObject *__pyx_n_s_main;
+  PyObject *__pyx_n_s_mapping_type;
+  PyObject *__pyx_n_s_mtl_name;
+  PyObject *__pyx_n_s_name;
+  PyObject *__pyx_n_s_normal;
+  PyObject *__pyx_n_s_np;
+  PyObject *__pyx_n_s_ntexver;
+  PyObject *__pyx_n_s_ntri;
+  PyObject *__pyx_n_s_numpy;
+  PyObject *__pyx_kp_s_numpy__core_multiarray_failed_to;
+  PyObject *__pyx_kp_s_numpy__core_umath_failed_to_impo;
+  PyObject *__pyx_n_s_nver;
+  PyObject *__pyx_n_s_rasterize_triangles_core;
+  PyObject *__pyx_n_s_render_colors_core;
+  PyObject *__pyx_n_s_render_texture_core;
+  PyObject *__pyx_n_s_spec;
+  PyObject *__pyx_n_s_test;
+  PyObject *__pyx_n_s_tex_c;
+  PyObject *__pyx_n_s_tex_coords;
+  PyObject *__pyx_n_s_tex_h;
+  PyObject *__pyx_n_s_tex_nver;
+  PyObject *__pyx_n_s_tex_triangles;
+  PyObject *__pyx_n_s_tex_w;
+  PyObject *__pyx_n_s_texture;
+  PyObject *__pyx_n_s_tri_normal;
+  PyObject *__pyx_n_s_triangle_buffer;
+  PyObject *__pyx_n_s_triangles;
+  PyObject *__pyx_n_s_uv_coords;
+  PyObject *__pyx_n_s_vertices;
+  PyObject *__pyx_n_s_w;
+  PyObject *__pyx_n_s_write_obj_with_colors_texture_co;
+  PyObject *__pyx_tuple_;
+  PyObject *__pyx_tuple__2;
+  PyObject *__pyx_tuple__4;
+  PyObject *__pyx_tuple__6;
+  PyObject *__pyx_tuple__8;
+  PyObject *__pyx_tuple__10;
+  PyObject *__pyx_tuple__12;
+  PyObject *__pyx_codeobj__5;
+  PyObject *__pyx_codeobj__7;
+  PyObject *__pyx_codeobj__9;
+  PyObject *__pyx_codeobj__11;
+  PyObject *__pyx_codeobj__13;
+} __pyx_mstate;
+
+#if CYTHON_USE_MODULE_STATE
+#ifdef __cplusplus
+namespace {
+  extern struct PyModuleDef __pyx_moduledef;
+} /* anonymous namespace */
+#else
+static struct PyModuleDef __pyx_moduledef;
+#endif
+
+#define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))
+
+#define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))
+
+#define __pyx_m (PyState_FindModule(&__pyx_moduledef))
+#else
+static __pyx_mstate __pyx_mstate_global_static =
+#ifdef __cplusplus
+    {};
+#else
+    {0};
+#endif
+static __pyx_mstate *__pyx_mstate_global = &__pyx_mstate_global_static;
+#endif
+/* #### Code section: module_state_clear ### */
+#if CYTHON_USE_MODULE_STATE
+static int __pyx_m_clear(PyObject *m) {
+  __pyx_mstate *clear_module_state = __pyx_mstate(m);
+  if (!clear_module_state) return 0;
+  Py_CLEAR(clear_module_state->__pyx_d);
+  Py_CLEAR(clear_module_state->__pyx_b);
+  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
+  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
+  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
+  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
+  #ifdef __Pyx_CyFunction_USED
+  Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
+  #endif
+  #ifdef __Pyx_FusedFunction_USED
+  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
+  #endif
+  Py_CLEAR(clear_module_state->__pyx_ptype_7cpython_4type_type);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_dtype);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flatiter);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_broadcast);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ndarray);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_generic);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_number);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_integer);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_signedinteger);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_unsignedinteger);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_inexact);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_floating);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_complexfloating);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flexible);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_character);
+  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ufunc);
+  Py_CLEAR(clear_module_state->__pyx_n_s_ImportError);
+  Py_CLEAR(clear_module_state->__pyx_n_s__14);
+  Py_CLEAR(clear_module_state->__pyx_n_s__3);
+  Py_CLEAR(clear_module_state->__pyx_n_s_asyncio_coroutines);
+  Py_CLEAR(clear_module_state->__pyx_n_s_barycentric_weight);
+  Py_CLEAR(clear_module_state->__pyx_n_s_c);
+  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
+  Py_CLEAR(clear_module_state->__pyx_n_s_colors);
+  Py_CLEAR(clear_module_state->__pyx_n_s_depth_buffer);
+  Py_CLEAR(clear_module_state->__pyx_n_s_filename);
+  Py_CLEAR(clear_module_state->__pyx_n_s_get_normal_core);
+  Py_CLEAR(clear_module_state->__pyx_n_s_h);
+  Py_CLEAR(clear_module_state->__pyx_n_s_image);
+  Py_CLEAR(clear_module_state->__pyx_n_s_import);
+  Py_CLEAR(clear_module_state->__pyx_n_s_initializing);
+  Py_CLEAR(clear_module_state->__pyx_kp_s_insightface_thirdparty_face3d_me);
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+  Py_CLEAR(clear_module_state->__pyx_n_s_is_coroutine);
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+  Py_CLEAR(clear_module_state->__pyx_n_s_name);
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+  Py_CLEAR(clear_module_state->__pyx_n_s_np);
+  Py_CLEAR(clear_module_state->__pyx_n_s_ntexver);
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+  Py_CLEAR(clear_module_state->__pyx_n_s_numpy);
+  Py_CLEAR(clear_module_state->__pyx_kp_s_numpy__core_multiarray_failed_to);
+  Py_CLEAR(clear_module_state->__pyx_kp_s_numpy__core_umath_failed_to_impo);
+  Py_CLEAR(clear_module_state->__pyx_n_s_nver);
+  Py_CLEAR(clear_module_state->__pyx_n_s_rasterize_triangles_core);
+  Py_CLEAR(clear_module_state->__pyx_n_s_render_colors_core);
+  Py_CLEAR(clear_module_state->__pyx_n_s_render_texture_core);
+  Py_CLEAR(clear_module_state->__pyx_n_s_spec);
+  Py_CLEAR(clear_module_state->__pyx_n_s_test);
+  Py_CLEAR(clear_module_state->__pyx_n_s_tex_c);
+  Py_CLEAR(clear_module_state->__pyx_n_s_tex_coords);
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+  Py_CLEAR(clear_module_state->__pyx_n_s_tex_nver);
+  Py_CLEAR(clear_module_state->__pyx_n_s_tex_triangles);
+  Py_CLEAR(clear_module_state->__pyx_n_s_tex_w);
+  Py_CLEAR(clear_module_state->__pyx_n_s_texture);
+  Py_CLEAR(clear_module_state->__pyx_n_s_tri_normal);
+  Py_CLEAR(clear_module_state->__pyx_n_s_triangle_buffer);
+  Py_CLEAR(clear_module_state->__pyx_n_s_triangles);
+  Py_CLEAR(clear_module_state->__pyx_n_s_uv_coords);
+  Py_CLEAR(clear_module_state->__pyx_n_s_vertices);
+  Py_CLEAR(clear_module_state->__pyx_n_s_w);
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+  Py_CLEAR(clear_module_state->__pyx_tuple_);
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+  Py_CLEAR(clear_module_state->__pyx_codeobj__7);
+  Py_CLEAR(clear_module_state->__pyx_codeobj__9);
+  Py_CLEAR(clear_module_state->__pyx_codeobj__11);
+  Py_CLEAR(clear_module_state->__pyx_codeobj__13);
+  return 0;
+}
+#endif
+/* #### Code section: module_state_traverse ### */
+#if CYTHON_USE_MODULE_STATE
+static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
+  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
+  if (!traverse_module_state) return 0;
+  Py_VISIT(traverse_module_state->__pyx_d);
+  Py_VISIT(traverse_module_state->__pyx_b);
+  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
+  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
+  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
+  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
+  #ifdef __Pyx_CyFunction_USED
+  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
+  #endif
+  #ifdef __Pyx_FusedFunction_USED
+  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
+  #endif
+  Py_VISIT(traverse_module_state->__pyx_ptype_7cpython_4type_type);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_dtype);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flatiter);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_broadcast);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ndarray);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_generic);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_number);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_integer);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_signedinteger);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_unsignedinteger);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_inexact);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_floating);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_complexfloating);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flexible);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_character);
+  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ufunc);
+  Py_VISIT(traverse_module_state->__pyx_n_s_ImportError);
+  Py_VISIT(traverse_module_state->__pyx_n_s__14);
+  Py_VISIT(traverse_module_state->__pyx_n_s__3);
+  Py_VISIT(traverse_module_state->__pyx_n_s_asyncio_coroutines);
+  Py_VISIT(traverse_module_state->__pyx_n_s_barycentric_weight);
+  Py_VISIT(traverse_module_state->__pyx_n_s_c);
+  Py_VISIT(traverse_module_state->__pyx_n_s_cline_in_traceback);
+  Py_VISIT(traverse_module_state->__pyx_n_s_colors);
+  Py_VISIT(traverse_module_state->__pyx_n_s_depth_buffer);
+  Py_VISIT(traverse_module_state->__pyx_n_s_filename);
+  Py_VISIT(traverse_module_state->__pyx_n_s_get_normal_core);
+  Py_VISIT(traverse_module_state->__pyx_n_s_h);
+  Py_VISIT(traverse_module_state->__pyx_n_s_image);
+  Py_VISIT(traverse_module_state->__pyx_n_s_import);
+  Py_VISIT(traverse_module_state->__pyx_n_s_initializing);
+  Py_VISIT(traverse_module_state->__pyx_kp_s_insightface_thirdparty_face3d_me);
+  Py_VISIT(traverse_module_state->__pyx_n_s_insightface_thirdparty_face3d_me_2);
+  Py_VISIT(traverse_module_state->__pyx_n_s_is_coroutine);
+  Py_VISIT(traverse_module_state->__pyx_n_s_main);
+  Py_VISIT(traverse_module_state->__pyx_n_s_mapping_type);
+  Py_VISIT(traverse_module_state->__pyx_n_s_mtl_name);
+  Py_VISIT(traverse_module_state->__pyx_n_s_name);
+  Py_VISIT(traverse_module_state->__pyx_n_s_normal);
+  Py_VISIT(traverse_module_state->__pyx_n_s_np);
+  Py_VISIT(traverse_module_state->__pyx_n_s_ntexver);
+  Py_VISIT(traverse_module_state->__pyx_n_s_ntri);
+  Py_VISIT(traverse_module_state->__pyx_n_s_numpy);
+  Py_VISIT(traverse_module_state->__pyx_kp_s_numpy__core_multiarray_failed_to);
+  Py_VISIT(traverse_module_state->__pyx_kp_s_numpy__core_umath_failed_to_impo);
+  Py_VISIT(traverse_module_state->__pyx_n_s_nver);
+  Py_VISIT(traverse_module_state->__pyx_n_s_rasterize_triangles_core);
+  Py_VISIT(traverse_module_state->__pyx_n_s_render_colors_core);
+  Py_VISIT(traverse_module_state->__pyx_n_s_render_texture_core);
+  Py_VISIT(traverse_module_state->__pyx_n_s_spec);
+  Py_VISIT(traverse_module_state->__pyx_n_s_test);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_c);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_coords);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_h);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_nver);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_triangles);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tex_w);
+  Py_VISIT(traverse_module_state->__pyx_n_s_texture);
+  Py_VISIT(traverse_module_state->__pyx_n_s_tri_normal);
+  Py_VISIT(traverse_module_state->__pyx_n_s_triangle_buffer);
+  Py_VISIT(traverse_module_state->__pyx_n_s_triangles);
+  Py_VISIT(traverse_module_state->__pyx_n_s_uv_coords);
+  Py_VISIT(traverse_module_state->__pyx_n_s_vertices);
+  Py_VISIT(traverse_module_state->__pyx_n_s_w);
+  Py_VISIT(traverse_module_state->__pyx_n_s_write_obj_with_colors_texture_co);
+  Py_VISIT(traverse_module_state->__pyx_tuple_);
+  Py_VISIT(traverse_module_state->__pyx_tuple__2);
+  Py_VISIT(traverse_module_state->__pyx_tuple__4);
+  Py_VISIT(traverse_module_state->__pyx_tuple__6);
+  Py_VISIT(traverse_module_state->__pyx_tuple__8);
+  Py_VISIT(traverse_module_state->__pyx_tuple__10);
+  Py_VISIT(traverse_module_state->__pyx_tuple__12);
+  Py_VISIT(traverse_module_state->__pyx_codeobj__5);
+  Py_VISIT(traverse_module_state->__pyx_codeobj__7);
+  Py_VISIT(traverse_module_state->__pyx_codeobj__9);
+  Py_VISIT(traverse_module_state->__pyx_codeobj__11);
+  Py_VISIT(traverse_module_state->__pyx_codeobj__13);
+  return 0;
+}
+#endif
+/* #### Code section: module_state_defines ### */
+#define __pyx_d __pyx_mstate_global->__pyx_d
+#define __pyx_b __pyx_mstate_global->__pyx_b
+#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
+#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
+#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
+#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
+#ifdef __Pyx_CyFunction_USED
+#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
+#endif
+#ifdef __Pyx_FusedFunction_USED
+#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
+#endif
+#ifdef __Pyx_Generator_USED
+#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
+#endif
+#ifdef __Pyx_IterableCoroutine_USED
+#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
+#endif
+#ifdef __Pyx_Coroutine_USED
+#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
+#endif
+#ifdef __Pyx_Coroutine_USED
+#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#define __pyx_ptype_7cpython_4type_type __pyx_mstate_global->__pyx_ptype_7cpython_4type_type
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#define __pyx_ptype_5numpy_dtype __pyx_mstate_global->__pyx_ptype_5numpy_dtype
+#define __pyx_ptype_5numpy_flatiter __pyx_mstate_global->__pyx_ptype_5numpy_flatiter
+#define __pyx_ptype_5numpy_broadcast __pyx_mstate_global->__pyx_ptype_5numpy_broadcast
+#define __pyx_ptype_5numpy_ndarray __pyx_mstate_global->__pyx_ptype_5numpy_ndarray
+#define __pyx_ptype_5numpy_generic __pyx_mstate_global->__pyx_ptype_5numpy_generic
+#define __pyx_ptype_5numpy_number __pyx_mstate_global->__pyx_ptype_5numpy_number
+#define __pyx_ptype_5numpy_integer __pyx_mstate_global->__pyx_ptype_5numpy_integer
+#define __pyx_ptype_5numpy_signedinteger __pyx_mstate_global->__pyx_ptype_5numpy_signedinteger
+#define __pyx_ptype_5numpy_unsignedinteger __pyx_mstate_global->__pyx_ptype_5numpy_unsignedinteger
+#define __pyx_ptype_5numpy_inexact __pyx_mstate_global->__pyx_ptype_5numpy_inexact
+#define __pyx_ptype_5numpy_floating __pyx_mstate_global->__pyx_ptype_5numpy_floating
+#define __pyx_ptype_5numpy_complexfloating __pyx_mstate_global->__pyx_ptype_5numpy_complexfloating
+#define __pyx_ptype_5numpy_flexible __pyx_mstate_global->__pyx_ptype_5numpy_flexible
+#define __pyx_ptype_5numpy_character __pyx_mstate_global->__pyx_ptype_5numpy_character
+#define __pyx_ptype_5numpy_ufunc __pyx_mstate_global->__pyx_ptype_5numpy_ufunc
+#if CYTHON_USE_MODULE_STATE
+#endif
+#if CYTHON_USE_MODULE_STATE
+#endif
+#define __pyx_n_s_ImportError __pyx_mstate_global->__pyx_n_s_ImportError
+#define __pyx_n_s__14 __pyx_mstate_global->__pyx_n_s__14
+#define __pyx_n_s__3 __pyx_mstate_global->__pyx_n_s__3
+#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
+#define __pyx_n_s_barycentric_weight __pyx_mstate_global->__pyx_n_s_barycentric_weight
+#define __pyx_n_s_c __pyx_mstate_global->__pyx_n_s_c
+#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
+#define __pyx_n_s_colors __pyx_mstate_global->__pyx_n_s_colors
+#define __pyx_n_s_depth_buffer __pyx_mstate_global->__pyx_n_s_depth_buffer
+#define __pyx_n_s_filename __pyx_mstate_global->__pyx_n_s_filename
+#define __pyx_n_s_get_normal_core __pyx_mstate_global->__pyx_n_s_get_normal_core
+#define __pyx_n_s_h __pyx_mstate_global->__pyx_n_s_h
+#define __pyx_n_s_image __pyx_mstate_global->__pyx_n_s_image
+#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
+#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
+#define __pyx_kp_s_insightface_thirdparty_face3d_me __pyx_mstate_global->__pyx_kp_s_insightface_thirdparty_face3d_me
+#define __pyx_n_s_insightface_thirdparty_face3d_me_2 __pyx_mstate_global->__pyx_n_s_insightface_thirdparty_face3d_me_2
+#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
+#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
+#define __pyx_n_s_mapping_type __pyx_mstate_global->__pyx_n_s_mapping_type
+#define __pyx_n_s_mtl_name __pyx_mstate_global->__pyx_n_s_mtl_name
+#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
+#define __pyx_n_s_normal __pyx_mstate_global->__pyx_n_s_normal
+#define __pyx_n_s_np __pyx_mstate_global->__pyx_n_s_np
+#define __pyx_n_s_ntexver __pyx_mstate_global->__pyx_n_s_ntexver
+#define __pyx_n_s_ntri __pyx_mstate_global->__pyx_n_s_ntri
+#define __pyx_n_s_numpy __pyx_mstate_global->__pyx_n_s_numpy
+#define __pyx_kp_s_numpy__core_multiarray_failed_to __pyx_mstate_global->__pyx_kp_s_numpy__core_multiarray_failed_to
+#define __pyx_kp_s_numpy__core_umath_failed_to_impo __pyx_mstate_global->__pyx_kp_s_numpy__core_umath_failed_to_impo
+#define __pyx_n_s_nver __pyx_mstate_global->__pyx_n_s_nver
+#define __pyx_n_s_rasterize_triangles_core __pyx_mstate_global->__pyx_n_s_rasterize_triangles_core
+#define __pyx_n_s_render_colors_core __pyx_mstate_global->__pyx_n_s_render_colors_core
+#define __pyx_n_s_render_texture_core __pyx_mstate_global->__pyx_n_s_render_texture_core
+#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
+#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
+#define __pyx_n_s_tex_c __pyx_mstate_global->__pyx_n_s_tex_c
+#define __pyx_n_s_tex_coords __pyx_mstate_global->__pyx_n_s_tex_coords
+#define __pyx_n_s_tex_h __pyx_mstate_global->__pyx_n_s_tex_h
+#define __pyx_n_s_tex_nver __pyx_mstate_global->__pyx_n_s_tex_nver
+#define __pyx_n_s_tex_triangles __pyx_mstate_global->__pyx_n_s_tex_triangles
+#define __pyx_n_s_tex_w __pyx_mstate_global->__pyx_n_s_tex_w
+#define __pyx_n_s_texture __pyx_mstate_global->__pyx_n_s_texture
+#define __pyx_n_s_tri_normal __pyx_mstate_global->__pyx_n_s_tri_normal
+#define __pyx_n_s_triangle_buffer __pyx_mstate_global->__pyx_n_s_triangle_buffer
+#define __pyx_n_s_triangles __pyx_mstate_global->__pyx_n_s_triangles
+#define __pyx_n_s_uv_coords __pyx_mstate_global->__pyx_n_s_uv_coords
+#define __pyx_n_s_vertices __pyx_mstate_global->__pyx_n_s_vertices
+#define __pyx_n_s_w __pyx_mstate_global->__pyx_n_s_w
+#define __pyx_n_s_write_obj_with_colors_texture_co __pyx_mstate_global->__pyx_n_s_write_obj_with_colors_texture_co
+#define __pyx_tuple_ __pyx_mstate_global->__pyx_tuple_
+#define __pyx_tuple__2 __pyx_mstate_global->__pyx_tuple__2
+#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
+#define __pyx_tuple__6 __pyx_mstate_global->__pyx_tuple__6
+#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
+#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
+#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
+#define __pyx_codeobj__5 __pyx_mstate_global->__pyx_codeobj__5
+#define __pyx_codeobj__7 __pyx_mstate_global->__pyx_codeobj__7
+#define __pyx_codeobj__9 __pyx_mstate_global->__pyx_codeobj__9
+#define __pyx_codeobj__11 __pyx_mstate_global->__pyx_codeobj__11
+#define __pyx_codeobj__13 __pyx_mstate_global->__pyx_codeobj__13
+/* #### Code section: module_code ### */
+
+/* "string.from_py":13
+ * 
+ * @cname("__pyx_convert_string_from_py_6libcpp_6string_std__in_string")
+ * cdef string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(object o) except *:             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t length = 0
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)
+ */
+
+static std::string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(PyObject *__pyx_v_o) {
+  Py_ssize_t __pyx_v_length;
+  char const *__pyx_v_data;
+  std::string __pyx_r;
+  char const *__pyx_t_1;
+  std::string __pyx_t_2;
+  int __pyx_lineno = 0;
+  const char *__pyx_filename = NULL;
+  int __pyx_clineno = 0;
+
+  /* "string.from_py":14
+ * @cname("__pyx_convert_string_from_py_6libcpp_6string_std__in_string")
+ * cdef string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(object o) except *:
+ *     cdef Py_ssize_t length = 0             # <<<<<<<<<<<<<<
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)
+ *     return string(data, length)
+ */
+  __pyx_v_length = 0;
+
+  /* "string.from_py":15
+ * cdef string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(object o) except *:
+ *     cdef Py_ssize_t length = 0
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)             # <<<<<<<<<<<<<<
+ *     return string(data, length)
+ * 
+ */
+  __pyx_t_1 = __Pyx_PyObject_AsStringAndSize(__pyx_v_o, (&__pyx_v_length)); if (unlikely(__pyx_t_1 == ((char const *)NULL))) __PYX_ERR(0, 15, __pyx_L1_error)
+  __pyx_v_data = __pyx_t_1;
+
+  /* "string.from_py":16
+ *     cdef Py_ssize_t length = 0
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)
+ *     return string(data, length)             # <<<<<<<<<<<<<<
+ * 
+ * 
+ */
+  try {
+    __pyx_t_2 = std::string(__pyx_v_data, __pyx_v_length);
+  } catch(...) {
+    __Pyx_CppExn2PyErr();
+    __PYX_ERR(0, 16, __pyx_L1_error)
+  }
+  __pyx_r = __pyx_t_2;
+  goto __pyx_L0;
+
+  /* "string.from_py":13
+ * 
+ * @cname("__pyx_convert_string_from_py_6libcpp_6string_std__in_string")
+ * cdef string __pyx_convert_string_from_py_6libcpp_6string_std__in_string(object o) except *:             # <<<<<<<<<<<<<<
+ *     cdef Py_ssize_t length = 0
+ *     cdef const char* data = __Pyx_PyObject_AsStringAndSize(o, &length)
+ */
+
+  /* function exit code */
+  __pyx_L1_error:;
+  __Pyx_AddTraceback("string.from_py.__pyx_convert_string_from_py_6libcpp_6string_std__in_string", __pyx_clineno, __pyx_lineno, __pyx_filename);
+  __Pyx_pretend_to_initialize(&__pyx_r);
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":286
+ * 
+ *         @property
+ *         cdef inline npy_intp itemsize(self) noexcept nogil:             # <<<<<<<<<<<<<<
+ *             return PyDataType_ELSIZE(self)
+ * 
+ */
+
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self) {
+  npy_intp __pyx_r;
+
+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":287
+ *         @property
+ *         cdef inline npy_intp itemsize(self) noexcept nogil:
+ *             return PyDataType_ELSIZE(self)             # <<<<<<<<<<<<<<
+ * 
+ *         @property
+ */
+  __pyx_r = PyDataType_ELSIZE(__pyx_v_self);
+  goto __pyx_L0;
+
+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":286
+ * 
+ *         @property
+ *         cdef inline npy_intp itemsize(self) noexcept nogil:             # <<<<<<<<<<<<<<
+ *             return PyDataType_ELSIZE(self)
+ * 
+ */
+
+  /* function exit code */
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+/* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":290
+ * 
+ *         @property
+ *         cdef inline npy_intp alignment(self) noexcept nogil:             # <<<<<<<<<<<<<<
+ *             return PyDataType_ALIGNMENT(self)
+ * 
+ */
+
+static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self) {
+  npy_intp __pyx_r;
+
+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":291
+ *         @property
+ *         cdef inline npy_intp alignment(self) noexcept nogil:
+ *             return PyDataType_ALIGNMENT(self)             # <<<<<<<<<<<<<<
+ * 
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+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":323
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+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":333
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+static CYTHON_INLINE int __pyx_f_5numpy_is_datetime64_object(PyObject *__pyx_v_obj) {
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+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":1056
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+  /* "../../pip-build-env-_lggdp4s/overlay/lib/python3.9/site-packages/numpy/__init__.cython-30.pxd":1071
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+PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
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+PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
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+  /* "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx":64
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+ *                 np.ndarray[float, ndim=2, mode = "c"] vertices not None,
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+  /* "insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx":100
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+}
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+}
+static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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+    }
+#else
+    *type = tstate->curexc_type;
+    *value = tstate->curexc_value;
+    *tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+#endif
+}
+#endif
+
+/* PyObjectGetAttrStr */
+#if CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
+    PyTypeObject* tp = Py_TYPE(obj);
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+        return tp->tp_getattro(obj, attr_name);
+#if PY_MAJOR_VERSION < 3
+    if (likely(tp->tp_getattr))
+        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
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+    return PyObject_GetAttr(obj, attr_name);
+}
+#endif
+
+/* PyObjectGetAttrStrNoError */
+#if __PYX_LIMITED_VERSION_HEX < 0x030d00A1
+static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
+        __Pyx_PyErr_Clear();
+}
+#endif
+static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
+    PyObject *result;
+#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
+    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
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+#else
+#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
+    PyTypeObject* tp = Py_TYPE(obj);
+    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
+        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
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+#endif
+    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
+    if (unlikely(!result)) {
+        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
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+    return result;
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+}
+
+/* GetBuiltinName */
+static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
+    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_b, name);
+    if (unlikely(!result) && !PyErr_Occurred()) {
+        PyErr_Format(PyExc_NameError,
+#if PY_MAJOR_VERSION >= 3
+            "name '%U' is not defined", name);
+#else
+            "name '%.200s' is not defined", PyString_AS_STRING(name));
+#endif
+    }
+    return result;
+}
+
+/* GetTopmostException */
+#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
+static _PyErr_StackItem *
+__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
+{
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
+           exc_info->previous_item != NULL)
+    {
+        exc_info = exc_info->previous_item;
+    }
+    return exc_info;
+}
+#endif
+
+/* SaveResetException */
+#if CYTHON_FAST_THREAD_STATE
+static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
+  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
+    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
+    PyObject *exc_value = exc_info->exc_value;
+    if (exc_value == NULL || exc_value == Py_None) {
+        *value = NULL;
+        *type = NULL;
+        *tb = NULL;
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+        *value = exc_value;
+        Py_INCREF(*value);
+        *type = (PyObject*) Py_TYPE(exc_value);
+        Py_INCREF(*type);
+        *tb = PyException_GetTraceback(exc_value);
+    }
+  #elif CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
+    *type = exc_info->exc_type;
+    *value = exc_info->exc_value;
+    *tb = exc_info->exc_traceback;
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+  #else
+    *type = tstate->exc_type;
+    *value = tstate->exc_value;
+    *tb = tstate->exc_traceback;
+    Py_XINCREF(*type);
+    Py_XINCREF(*value);
+    Py_XINCREF(*tb);
+  #endif
+}
+static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
+  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    PyObject *tmp_value = exc_info->exc_value;
+    exc_info->exc_value = value;
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+  #else
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+    #if CYTHON_USE_EXC_INFO_STACK
+    _PyErr_StackItem *exc_info = tstate->exc_info;
+    tmp_type = exc_info->exc_type;
+    tmp_value = exc_info->exc_value;
+    tmp_tb = exc_info->exc_traceback;
+    exc_info->exc_type = type;
+    exc_info->exc_value = value;
+    exc_info->exc_traceback = tb;
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = type;
+    tstate->exc_value = value;
+    tstate->exc_traceback = tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+  #endif
+}
+#endif
+
+/* GetException */
+#if CYTHON_FAST_THREAD_STATE
+static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
+#else
+static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
+#endif
+{
+    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
+#if CYTHON_FAST_THREAD_STATE
+    PyObject *tmp_type, *tmp_value, *tmp_tb;
+  #if PY_VERSION_HEX >= 0x030C00A6
+    local_value = tstate->current_exception;
+    tstate->current_exception = 0;
+    if (likely(local_value)) {
+        local_type = (PyObject*) Py_TYPE(local_value);
+        Py_INCREF(local_type);
+        local_tb = PyException_GetTraceback(local_value);
+    }
+  #else
+    local_type = tstate->curexc_type;
+    local_value = tstate->curexc_value;
+    local_tb = tstate->curexc_traceback;
+    tstate->curexc_type = 0;
+    tstate->curexc_value = 0;
+    tstate->curexc_traceback = 0;
+  #endif
+#else
+    PyErr_Fetch(&local_type, &local_value, &local_tb);
+#endif
+    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
+#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
+    if (unlikely(tstate->current_exception))
+#elif CYTHON_FAST_THREAD_STATE
+    if (unlikely(tstate->curexc_type))
+#else
+    if (unlikely(PyErr_Occurred()))
+#endif
+        goto bad;
+    #if PY_MAJOR_VERSION >= 3
+    if (local_tb) {
+        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
+            goto bad;
+    }
+    #endif
+    Py_XINCREF(local_tb);
+    Py_XINCREF(local_type);
+    Py_XINCREF(local_value);
+    *type = local_type;
+    *value = local_value;
+    *tb = local_tb;
+#if CYTHON_FAST_THREAD_STATE
+    #if CYTHON_USE_EXC_INFO_STACK
+    {
+        _PyErr_StackItem *exc_info = tstate->exc_info;
+      #if PY_VERSION_HEX >= 0x030B00a4
+        tmp_value = exc_info->exc_value;
+        exc_info->exc_value = local_value;
+        tmp_type = NULL;
+        tmp_tb = NULL;
+        Py_XDECREF(local_type);
+        Py_XDECREF(local_tb);
+      #else
+        tmp_type = exc_info->exc_type;
+        tmp_value = exc_info->exc_value;
+        tmp_tb = exc_info->exc_traceback;
+        exc_info->exc_type = local_type;
+        exc_info->exc_value = local_value;
+        exc_info->exc_traceback = local_tb;
+      #endif
+    }
+    #else
+    tmp_type = tstate->exc_type;
+    tmp_value = tstate->exc_value;
+    tmp_tb = tstate->exc_traceback;
+    tstate->exc_type = local_type;
+    tstate->exc_value = local_value;
+    tstate->exc_traceback = local_tb;
+    #endif
+    Py_XDECREF(tmp_type);
+    Py_XDECREF(tmp_value);
+    Py_XDECREF(tmp_tb);
+#else
+    PyErr_SetExcInfo(local_type, local_value, local_tb);
+#endif
+    return 0;
+bad:
+    *type = 0;
+    *value = 0;
+    *tb = 0;
+    Py_XDECREF(local_type);
+    Py_XDECREF(local_value);
+    Py_XDECREF(local_tb);
+    return -1;
+}
+
+/* PyObjectCall */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
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+    ternaryfunc call = Py_TYPE(func)->tp_call;
+    if (unlikely(!call))
+        return PyObject_Call(func, arg, kw);
+    #if PY_MAJOR_VERSION < 3
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
+    #else
+    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
+        return NULL;
+    #endif
+    result = (*call)(func, arg, kw);
+    Py_LeaveRecursiveCall();
+    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
+        PyErr_SetString(
+            PyExc_SystemError,
+            "NULL result without error in PyObject_Call");
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+    return result;
+}
+#endif
+
+/* RaiseException */
+#if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    __Pyx_PyThreadState_declare
+    CYTHON_UNUSED_VAR(cause);
+    Py_XINCREF(type);
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+    else
+        Py_INCREF(value);
+    if (!tb || tb == Py_None)
+        tb = NULL;
+    else {
+        Py_INCREF(tb);
+        if (!PyTraceBack_Check(tb)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: arg 3 must be a traceback or None");
+            goto raise_error;
+        }
+    }
+    if (PyType_Check(type)) {
+#if CYTHON_COMPILING_IN_PYPY
+        if (!value) {
+            Py_INCREF(Py_None);
+            value = Py_None;
+        }
+#endif
+        PyErr_NormalizeException(&type, &value, &tb);
+    } else {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(type);
+        Py_INCREF(type);
+        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
+            PyErr_SetString(PyExc_TypeError,
+                "raise: exception class must be a subclass of BaseException");
+            goto raise_error;
+        }
+    }
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrRestore(type, value, tb);
+    return;
+raise_error:
+    Py_XDECREF(value);
+    Py_XDECREF(type);
+    Py_XDECREF(tb);
+    return;
+}
+#else
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
+    PyObject* owned_instance = NULL;
+    if (tb == Py_None) {
+        tb = 0;
+    } else if (tb && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto bad;
+    }
+    if (value == Py_None)
+        value = 0;
+    if (PyExceptionInstance_Check(type)) {
+        if (value) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto bad;
+        }
+        value = type;
+        type = (PyObject*) Py_TYPE(value);
+    } else if (PyExceptionClass_Check(type)) {
+        PyObject *instance_class = NULL;
+        if (value && PyExceptionInstance_Check(value)) {
+            instance_class = (PyObject*) Py_TYPE(value);
+            if (instance_class != type) {
+                int is_subclass = PyObject_IsSubclass(instance_class, type);
+                if (!is_subclass) {
+                    instance_class = NULL;
+                } else if (unlikely(is_subclass == -1)) {
+                    goto bad;
+                } else {
+                    type = instance_class;
+                }
+            }
+        }
+        if (!instance_class) {
+            PyObject *args;
+            if (!value)
+                args = PyTuple_New(0);
+            else if (PyTuple_Check(value)) {
+                Py_INCREF(value);
+                args = value;
+            } else
+                args = PyTuple_Pack(1, value);
+            if (!args)
+                goto bad;
+            owned_instance = PyObject_Call(type, args, NULL);
+            Py_DECREF(args);
+            if (!owned_instance)
+                goto bad;
+            value = owned_instance;
+            if (!PyExceptionInstance_Check(value)) {
+                PyErr_Format(PyExc_TypeError,
+                             "calling %R should have returned an instance of "
+                             "BaseException, not %R",
+                             type, Py_TYPE(value));
+                goto bad;
+            }
+        }
+    } else {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+    if (cause) {
+        PyObject *fixed_cause;
+        if (cause == Py_None) {
+            fixed_cause = NULL;
+        } else if (PyExceptionClass_Check(cause)) {
+            fixed_cause = PyObject_CallObject(cause, NULL);
+            if (fixed_cause == NULL)
+                goto bad;
+        } else if (PyExceptionInstance_Check(cause)) {
+            fixed_cause = cause;
+            Py_INCREF(fixed_cause);
+        } else {
+            PyErr_SetString(PyExc_TypeError,
+                            "exception causes must derive from "
+                            "BaseException");
+            goto bad;
+        }
+        PyException_SetCause(value, fixed_cause);
+    }
+    PyErr_SetObject(type, value);
+    if (tb) {
+      #if PY_VERSION_HEX >= 0x030C00A6
+        PyException_SetTraceback(value, tb);
+      #elif CYTHON_FAST_THREAD_STATE
+        PyThreadState *tstate = __Pyx_PyThreadState_Current;
+        PyObject* tmp_tb = tstate->curexc_traceback;
+        if (tb != tmp_tb) {
+            Py_INCREF(tb);
+            tstate->curexc_traceback = tb;
+            Py_XDECREF(tmp_tb);
+        }
+#else
+        PyObject *tmp_type, *tmp_value, *tmp_tb;
+        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
+        Py_INCREF(tb);
+        PyErr_Restore(tmp_type, tmp_value, tb);
+        Py_XDECREF(tmp_tb);
+#endif
+    }
+bad:
+    Py_XDECREF(owned_instance);
+    return;
+}
+#endif
+
+/* TupleAndListFromArray */
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
+    PyObject *v;
+    Py_ssize_t i;
+    for (i = 0; i < length; i++) {
+        v = dest[i] = src[i];
+        Py_INCREF(v);
+    }
+}
+static CYTHON_INLINE PyObject *
+__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
+{
+    PyObject *res;
+    if (n <= 0) {
+        Py_INCREF(__pyx_empty_tuple);
+        return __pyx_empty_tuple;
+    }
+    res = PyTuple_New(n);
+    if (unlikely(res == NULL)) return NULL;
+    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
+    return res;
+}
+static CYTHON_INLINE PyObject *
+__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
+{
+    PyObject *res;
+    if (n <= 0) {
+        return PyList_New(0);
+    }
+    res = PyList_New(n);
+    if (unlikely(res == NULL)) return NULL;
+    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
+    return res;
+}
+#endif
+
+/* BytesEquals */
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+    if (s1 == s2) {
+        return (equals == Py_EQ);
+    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
+        const char *ps1, *ps2;
+        Py_ssize_t length = PyBytes_GET_SIZE(s1);
+        if (length != PyBytes_GET_SIZE(s2))
+            return (equals == Py_NE);
+        ps1 = PyBytes_AS_STRING(s1);
+        ps2 = PyBytes_AS_STRING(s2);
+        if (ps1[0] != ps2[0]) {
+            return (equals == Py_NE);
+        } else if (length == 1) {
+            return (equals == Py_EQ);
+        } else {
+            int result;
+#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
+            Py_hash_t hash1, hash2;
+            hash1 = ((PyBytesObject*)s1)->ob_shash;
+            hash2 = ((PyBytesObject*)s2)->ob_shash;
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                return (equals == Py_NE);
+            }
+#endif
+            result = memcmp(ps1, ps2, (size_t)length);
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
+        return (equals == Py_NE);
+    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
+        return (equals == Py_NE);
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+#endif
+}
+
+/* UnicodeEquals */
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+#if PY_MAJOR_VERSION < 3
+    PyObject* owned_ref = NULL;
+#endif
+    int s1_is_unicode, s2_is_unicode;
+    if (s1 == s2) {
+        goto return_eq;
+    }
+    s1_is_unicode = PyUnicode_CheckExact(s1);
+    s2_is_unicode = PyUnicode_CheckExact(s2);
+#if PY_MAJOR_VERSION < 3
+    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
+        owned_ref = PyUnicode_FromObject(s2);
+        if (unlikely(!owned_ref))
+            return -1;
+        s2 = owned_ref;
+        s2_is_unicode = 1;
+    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
+        owned_ref = PyUnicode_FromObject(s1);
+        if (unlikely(!owned_ref))
+            return -1;
+        s1 = owned_ref;
+        s1_is_unicode = 1;
+    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
+        return __Pyx_PyBytes_Equals(s1, s2, equals);
+    }
+#endif
+    if (s1_is_unicode & s2_is_unicode) {
+        Py_ssize_t length;
+        int kind;
+        void *data1, *data2;
+        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
+            return -1;
+        length = __Pyx_PyUnicode_GET_LENGTH(s1);
+        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
+            goto return_ne;
+        }
+#if CYTHON_USE_UNICODE_INTERNALS
+        {
+            Py_hash_t hash1, hash2;
+        #if CYTHON_PEP393_ENABLED
+            hash1 = ((PyASCIIObject*)s1)->hash;
+            hash2 = ((PyASCIIObject*)s2)->hash;
+        #else
+            hash1 = ((PyUnicodeObject*)s1)->hash;
+            hash2 = ((PyUnicodeObject*)s2)->hash;
+        #endif
+            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
+                goto return_ne;
+            }
+        }
+#endif
+        kind = __Pyx_PyUnicode_KIND(s1);
+        if (kind != __Pyx_PyUnicode_KIND(s2)) {
+            goto return_ne;
+        }
+        data1 = __Pyx_PyUnicode_DATA(s1);
+        data2 = __Pyx_PyUnicode_DATA(s2);
+        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
+            goto return_ne;
+        } else if (length == 1) {
+            goto return_eq;
+        } else {
+            int result = memcmp(data1, data2, (size_t)(length * kind));
+            #if PY_MAJOR_VERSION < 3
+            Py_XDECREF(owned_ref);
+            #endif
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & s2_is_unicode) {
+        goto return_ne;
+    } else if ((s2 == Py_None) & s1_is_unicode) {
+        goto return_ne;
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        #if PY_MAJOR_VERSION < 3
+        Py_XDECREF(owned_ref);
+        #endif
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+return_eq:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_EQ);
+return_ne:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_NE);
+#endif
+}
+
+/* fastcall */
+#if CYTHON_METH_FASTCALL
+static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
+{
+    Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
+    for (i = 0; i < n; i++)
+    {
+        if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
+    }
+    for (i = 0; i < n; i++)
+    {
+        int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
+        if (unlikely(eq != 0)) {
+            if (unlikely(eq < 0)) return NULL;
+            return kwvalues[i];
+        }
+    }
+    return NULL;
+}
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
+CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
+    Py_ssize_t i, nkwargs = PyTuple_GET_SIZE(kwnames);
+    PyObject *dict;
+    dict = PyDict_New();
+    if (unlikely(!dict))
+        return NULL;
+    for (i=0; i<nkwargs; i++) {
+        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
+        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
+            goto bad;
+    }
+    return dict;
+bad:
+    Py_DECREF(dict);
+    return NULL;
+}
+#endif
+#endif
+
+/* RaiseArgTupleInvalid */
+static void __Pyx_RaiseArgtupleInvalid(
+    const char* func_name,
+    int exact,
+    Py_ssize_t num_min,
+    Py_ssize_t num_max,
+    Py_ssize_t num_found)
+{
+    Py_ssize_t num_expected;
+    const char *more_or_less;
+    if (num_found < num_min) {
+        num_expected = num_min;
+        more_or_less = "at least";
+    } else {
+        num_expected = num_max;
+        more_or_less = "at most";
+    }
+    if (exact) {
+        more_or_less = "exactly";
+    }
+    PyErr_Format(PyExc_TypeError,
+                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                 func_name, more_or_less, num_expected,
+                 (num_expected == 1) ? "" : "s", num_found);
+}
+
+/* RaiseDoubleKeywords */
+static void __Pyx_RaiseDoubleKeywordsError(
+    const char* func_name,
+    PyObject* kw_name)
+{
+    PyErr_Format(PyExc_TypeError,
+        #if PY_MAJOR_VERSION >= 3
+        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
+        #else
+        "%s() got multiple values for keyword argument '%s'", func_name,
+        PyString_AsString(kw_name));
+        #endif
+}
+
+/* ParseKeywords */
+static int __Pyx_ParseOptionalKeywords(
+    PyObject *kwds,
+    PyObject *const *kwvalues,
+    PyObject **argnames[],
+    PyObject *kwds2,
+    PyObject *values[],
+    Py_ssize_t num_pos_args,
+    const char* function_name)
+{
+    PyObject *key = 0, *value = 0;
+    Py_ssize_t pos = 0;
+    PyObject*** name;
+    PyObject*** first_kw_arg = argnames + num_pos_args;
+    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
+    while (1) {
+        Py_XDECREF(key); key = NULL;
+        Py_XDECREF(value); value = NULL;
+        if (kwds_is_tuple) {
+            Py_ssize_t size;
+#if CYTHON_ASSUME_SAFE_MACROS
+            size = PyTuple_GET_SIZE(kwds);
+#else
+            size = PyTuple_Size(kwds);
+            if (size < 0) goto bad;
+#endif
+            if (pos >= size) break;
+#if CYTHON_AVOID_BORROWED_REFS
+            key = __Pyx_PySequence_ITEM(kwds, pos);
+            if (!key) goto bad;
+#elif CYTHON_ASSUME_SAFE_MACROS
+            key = PyTuple_GET_ITEM(kwds, pos);
+#else
+            key = PyTuple_GetItem(kwds, pos);
+            if (!key) goto bad;
+#endif
+            value = kwvalues[pos];
+            pos++;
+        }
+        else
+        {
+            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
+#if CYTHON_AVOID_BORROWED_REFS
+            Py_INCREF(key);
+#endif
+        }
+        name = first_kw_arg;
+        while (*name && (**name != key)) name++;
+        if (*name) {
+            values[name-argnames] = value;
+#if CYTHON_AVOID_BORROWED_REFS
+            Py_INCREF(value);
+            Py_DECREF(key);
+#endif
+            key = NULL;
+            value = NULL;
+            continue;
+        }
+#if !CYTHON_AVOID_BORROWED_REFS
+        Py_INCREF(key);
+#endif
+        Py_INCREF(value);
+        name = first_kw_arg;
+        #if PY_MAJOR_VERSION < 3
+        if (likely(PyString_Check(key))) {
+            while (*name) {
+                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
+                        && _PyString_Eq(**name, key)) {
+                    values[name-argnames] = value;
+#if CYTHON_AVOID_BORROWED_REFS
+                    value = NULL;
+#endif
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    if ((**argname == key) || (
+                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
+                             && _PyString_Eq(**argname, key))) {
+                        goto arg_passed_twice;
+                    }
+                    argname++;
+                }
+            }
+        } else
+        #endif
+        if (likely(PyUnicode_Check(key))) {
+            while (*name) {
+                int cmp = (
+                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                #endif
+                    PyUnicode_Compare(**name, key)
+                );
+                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                if (cmp == 0) {
+                    values[name-argnames] = value;
+#if CYTHON_AVOID_BORROWED_REFS
+                    value = NULL;
+#endif
+                    break;
+                }
+                name++;
+            }
+            if (*name) continue;
+            else {
+                PyObject*** argname = argnames;
+                while (argname != first_kw_arg) {
+                    int cmp = (**argname == key) ? 0 :
+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
+                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
+                    #endif
+                        PyUnicode_Compare(**argname, key);
+                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
+                    if (cmp == 0) goto arg_passed_twice;
+                    argname++;
+                }
+            }
+        } else
+            goto invalid_keyword_type;
+        if (kwds2) {
+            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+        } else {
+            goto invalid_keyword;
+        }
+    }
+    Py_XDECREF(key);
+    Py_XDECREF(value);
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, key);
+    goto bad;
+invalid_keyword_type:
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() keywords must be strings", function_name);
+    goto bad;
+invalid_keyword:
+    #if PY_MAJOR_VERSION < 3
+    PyErr_Format(PyExc_TypeError,
+        "%.200s() got an unexpected keyword argument '%.200s'",
+        function_name, PyString_AsString(key));
+    #else
+    PyErr_Format(PyExc_TypeError,
+        "%s() got an unexpected keyword argument '%U'",
+        function_name, key);
+    #endif
+bad:
+    Py_XDECREF(key);
+    Py_XDECREF(value);
+    return -1;
+}
+
+/* ArgTypeTest */
+static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
+{
+    __Pyx_TypeName type_name;
+    __Pyx_TypeName obj_type_name;
+    if (unlikely(!type)) {
+        PyErr_SetString(PyExc_SystemError, "Missing type object");
+        return 0;
+    }
+    else if (exact) {
+        #if PY_MAJOR_VERSION == 2
+        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
+        #endif
+    }
+    else {
+        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
+    }
+    type_name = __Pyx_PyType_GetName(type);
+    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
+    PyErr_Format(PyExc_TypeError,
+        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
+        ", got " __Pyx_FMT_TYPENAME ")", name, type_name, obj_type_name);
+    __Pyx_DECREF_TypeName(type_name);
+    __Pyx_DECREF_TypeName(obj_type_name);
+    return 0;
+}
+
+/* IsLittleEndian */
+static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
+{
+  union {
+    uint32_t u32;
+    uint8_t u8[4];
+  } S;
+  S.u32 = 0x01020304;
+  return S.u8[0] == 4;
+}
+
+/* BufferFormatCheck */
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->new_packmode = '@';
+  ctx->enc_packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  ctx->is_valid_array = 0;
+  ctx->struct_alignment = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t <= '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
+    int number = __Pyx_BufFmt_ParseNumber(ts);
+    if (number == -1)
+        PyErr_Format(PyExc_ValueError,\
+                     "Does not understand character buffer dtype format string ('%c')", **ts);
+    return number;
+}
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  PyErr_Format(PyExc_ValueError,
+               "Unexpected format string character: '%c'", ch);
+}
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case '?': return "'bool'";
+    case 'c': return "'char'";
+    case 'b': return "'signed char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 's': case 'p': return "a string";
+    case 0: return "end";
+    default: return "unparsable format string";
+  }
+}
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {
+  CYTHON_UNUSED_VAR(is_complex);
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+/* These are for computing the padding at the end of the struct to align
+   on the first member of the struct. This will probably the same as above,
+   but we don't have any guarantees.
+ */
+typedef struct { short x; char c; } __Pyx_pad_short;
+typedef struct { int x; char c; } __Pyx_pad_int;
+typedef struct { long x; char c; } __Pyx_pad_long;
+typedef struct { float x; char c; } __Pyx_pad_float;
+typedef struct { double x; char c; } __Pyx_pad_double;
+typedef struct { long double x; char c; } __Pyx_pad_longdouble;
+typedef struct { void *x; char c; } __Pyx_pad_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
+#endif
+static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, int is_complex) {
+  CYTHON_UNUSED_VAR(is_complex);
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
+    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
+    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
+    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
+#ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
+#endif
+    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
+    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
+    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
+    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c':
+        return 'H';
+    case 'b': case 'h': case 'i':
+    case 'l': case 'q': case 's': case 'p':
+        return 'I';
+    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
+        return 'U';
+    case 'f': case 'd': case 'g':
+        return (is_complex ? 'C' : 'R');
+    case 'O':
+        return 'O';
+    case 'P':
+        return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+  }
+}
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset, arraysize = 1;
+  if (ctx->enc_type == 0) return 0;
+  if (ctx->head->field->type->arraysize[0]) {
+    int i, ndim = 0;
+    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
+        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
+        ndim = 1;
+        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
+            PyErr_Format(PyExc_ValueError,
+                         "Expected a dimension of size %zu, got %zu",
+                         ctx->head->field->type->arraysize[0], ctx->enc_count);
+            return -1;
+        }
+    }
+    if (!ctx->is_valid_array) {
+      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
+                   ctx->head->field->type->ndim, ndim);
+      return -1;
+    }
+    for (i = 0; i < ctx->head->field->type->ndim; i++) {
+      arraysize *= ctx->head->field->type->arraysize[i];
+    }
+    ctx->is_valid_array = 0;
+    ctx->enc_count = 1;
+  }
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->enc_packmode == '@') {
+      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      size_t align_mod_offset;
+      if (align_at == 0) return -1;
+      align_mod_offset = ctx->fmt_offset % align_at;
+      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
+      if (ctx->struct_alignment == 0)
+          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
+                                                                 ctx->is_complex);
+    }
+    if (type->size != size || type->typegroup != group) {
+      if (type->typegroup == 'C' && type->fields != NULL) {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        ++ctx->head;
+        ctx->head->field = type->fields;
+        ctx->head->parent_offset = parent_offset;
+        continue;
+      }
+      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
+      } else {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+      }
+    }
+    offset = ctx->head->parent_offset + field->offset;
+    if (ctx->fmt_offset != offset) {
+      PyErr_Format(PyExc_ValueError,
+                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
+                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
+      return -1;
+    }
+    ctx->fmt_offset += size;
+    if (arraysize)
+      ctx->fmt_offset += (arraysize - 1) * size;
+    --ctx->enc_count;
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break;
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue;
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;
+}
+static int
+__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
+{
+    const char *ts = *tsp;
+    int i = 0, number, ndim;
+    ++ts;
+    if (ctx->new_count != 1) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Cannot handle repeated arrays in format string");
+        return -1;
+    }
+    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return -1;
+    ndim = ctx->head->field->type->ndim;
+    while (*ts && *ts != ')') {
+        switch (*ts) {
+            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
+            default:  break;
+        }
+        number = __Pyx_BufFmt_ExpectNumber(&ts);
+        if (number == -1) return -1;
+        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) {
+            PyErr_Format(PyExc_ValueError,
+                        "Expected a dimension of size %zu, got %d",
+                        ctx->head->field->type->arraysize[i], number);
+            return -1;
+        }
+        if (*ts != ',' && *ts != ')') {
+            PyErr_Format(PyExc_ValueError,
+                                "Expected a comma in format string, got '%c'", *ts);
+            return -1;
+        }
+        if (*ts == ',') ts++;
+        i++;
+    }
+    if (i != ndim) {
+        PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
+                            ctx->head->field->type->ndim, i);
+        return -1;
+    }
+    if (!*ts) {
+        PyErr_SetString(PyExc_ValueError,
+                        "Unexpected end of format string, expected ')'");
+        return -1;
+    }
+    ctx->is_valid_array = 1;
+    ctx->new_count = 1;
+    *tsp = ++ts;
+    return 0;
+}
+static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
+  int got_Z = 0;
+  while (1) {
+    switch(*ts) {
+      case 0:
+        if (ctx->enc_type != 0 && ctx->head == NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        if (ctx->head != NULL) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return NULL;
+        }
+        return ts;
+      case ' ':
+      case '\r':
+      case '\n':
+        ++ts;
+        break;
+      case '<':
+        if (!__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_Is_Little_Endian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        ctx->new_packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        ctx->new_packmode = *ts++;
+        break;
+      case 'T':
+        {
+          const char* ts_after_sub;
+          size_t i, struct_count = ctx->new_count;
+          size_t struct_alignment = ctx->struct_alignment;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          ctx->enc_count = 0;
+          ctx->struct_alignment = 0;
+          ++ts;
+          ts_after_sub = ts;
+          for (i = 0; i != struct_count; ++i) {
+            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
+            if (!ts_after_sub) return NULL;
+          }
+          ts = ts_after_sub;
+          if (struct_alignment) ctx->struct_alignment = struct_alignment;
+        }
+        break;
+      case '}':
+        {
+          size_t alignment = ctx->struct_alignment;
+          ++ts;
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_type = 0;
+          if (alignment && ctx->fmt_offset % alignment) {
+            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
+          }
+        }
+        return ts;
+      case 'x':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->fmt_offset += ctx->new_count;
+        ctx->new_count = 1;
+        ctx->enc_count = 0;
+        ctx->enc_type = 0;
+        ctx->enc_packmode = ctx->new_packmode;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }
+        CYTHON_FALLTHROUGH;
+      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O': case 'p':
+        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
+            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
+          ctx->enc_count += ctx->new_count;
+          ctx->new_count = 1;
+          got_Z = 0;
+          ++ts;
+          break;
+        }
+        CYTHON_FALLTHROUGH;
+      case 's':
+        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+        ctx->enc_count = ctx->new_count;
+        ctx->enc_packmode = ctx->new_packmode;
+        ctx->enc_type = *ts;
+        ctx->is_complex = got_Z;
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      case ':':
+        ++ts;
+        while(*ts != ':') ++ts;
+        ++ts;
+        break;
+      case '(':
+        if (__pyx_buffmt_parse_array(ctx, &ts) < 0) return NULL;
+        break;
+      default:
+        {
+          int number = __Pyx_BufFmt_ExpectNumber(&ts);
+          if (number == -1) return NULL;
+          ctx->new_count = (size_t)number;
+        }
+    }
+  }
+}
+
+/* BufferGetAndValidate */
+  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
+  if (unlikely(info->buf == NULL)) return;
+  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
+  __Pyx_ReleaseBuffer(info);
+}
+static void __Pyx_ZeroBuffer(Py_buffer* buf) {
+  buf->buf = NULL;
+  buf->obj = NULL;
+  buf->strides = __Pyx_zeros;
+  buf->shape = __Pyx_zeros;
+  buf->suboffsets = __Pyx_minusones;
+}
+static int __Pyx__GetBufferAndValidate(
+        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
+        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
+{
+  buf->buf = NULL;
+  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
+    __Pyx_ZeroBuffer(buf);
+    return -1;
+  }
+  if (unlikely(buf->ndim != nd)) {
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer has wrong number of dimensions (expected %d, got %d)",
+                 nd, buf->ndim);
+    goto fail;
+  }
+  if (!cast) {
+    __Pyx_BufFmt_Context ctx;
+    __Pyx_BufFmt_Init(&ctx, stack, dtype);
+    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
+  }
+  if (unlikely((size_t)buf->itemsize != dtype->size)) {
+    PyErr_Format(PyExc_ValueError,
+      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
+      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
+      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
+    goto fail;
+  }
+  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
+  return 0;
+fail:;
+  __Pyx_SafeReleaseBuffer(buf);
+  return -1;
+}
+
+/* TypeImport */
+  #ifndef __PYX_HAVE_RT_ImportType_3_0_10
+#define __PYX_HAVE_RT_ImportType_3_0_10
+static PyTypeObject *__Pyx_ImportType_3_0_10(PyObject *module, const char *module_name, const char *class_name,
+    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_10 check_size)
+{
+    PyObject *result = 0;
+    char warning[200];
+    Py_ssize_t basicsize;
+    Py_ssize_t itemsize;
+#if CYTHON_COMPILING_IN_LIMITED_API
+    PyObject *py_basicsize;
+    PyObject *py_itemsize;
+#endif
+    result = PyObject_GetAttrString(module, class_name);
+    if (!result)
+        goto bad;
+    if (!PyType_Check(result)) {
+        PyErr_Format(PyExc_TypeError,
+            "%.200s.%.200s is not a type object",
+            module_name, class_name);
+        goto bad;
+    }
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    basicsize = ((PyTypeObject *)result)->tp_basicsize;
+    itemsize = ((PyTypeObject *)result)->tp_itemsize;
+#else
+    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
+    if (!py_basicsize)
+        goto bad;
+    basicsize = PyLong_AsSsize_t(py_basicsize);
+    Py_DECREF(py_basicsize);
+    py_basicsize = 0;
+    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
+        goto bad;
+    py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
+    if (!py_itemsize)
+        goto bad;
+    itemsize = PyLong_AsSsize_t(py_itemsize);
+    Py_DECREF(py_itemsize);
+    py_itemsize = 0;
+    if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
+        goto bad;
+#endif
+    if (itemsize) {
+        if (size % alignment) {
+            alignment = size % alignment;
+        }
+        if (itemsize < (Py_ssize_t)alignment)
+            itemsize = (Py_ssize_t)alignment;
+    }
+    if ((size_t)(basicsize + itemsize) < size) {
+        PyErr_Format(PyExc_ValueError,
+            "%.200s.%.200s size changed, may indicate binary incompatibility. "
+            "Expected %zd from C header, got %zd from PyObject",
+            module_name, class_name, size, basicsize+itemsize);
+        goto bad;
+    }
+    if (check_size == __Pyx_ImportType_CheckSize_Error_3_0_10 &&
+            ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
+        PyErr_Format(PyExc_ValueError,
+            "%.200s.%.200s size changed, may indicate binary incompatibility. "
+            "Expected %zd from C header, got %zd-%zd from PyObject",
+            module_name, class_name, size, basicsize, basicsize+itemsize);
+        goto bad;
+    }
+    else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_0_10 && (size_t)basicsize > size) {
+        PyOS_snprintf(warning, sizeof(warning),
+            "%s.%s size changed, may indicate binary incompatibility. "
+            "Expected %zd from C header, got %zd from PyObject",
+            module_name, class_name, size, basicsize);
+        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
+    }
+    return (PyTypeObject *)result;
+bad:
+    Py_XDECREF(result);
+    return NULL;
+}
+#endif
+
+/* Import */
+  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
+    PyObject *module = 0;
+    PyObject *empty_dict = 0;
+    PyObject *empty_list = 0;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_import;
+    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
+    if (unlikely(!py_import))
+        goto bad;
+    if (!from_list) {
+        empty_list = PyList_New(0);
+        if (unlikely(!empty_list))
+            goto bad;
+        from_list = empty_list;
+    }
+    #endif
+    empty_dict = PyDict_New();
+    if (unlikely(!empty_dict))
+        goto bad;
+    {
+        #if PY_MAJOR_VERSION >= 3
+        if (level == -1) {
+            if (strchr(__Pyx_MODULE_NAME, '.') != NULL) {
+                module = PyImport_ImportModuleLevelObject(
+                    name, __pyx_d, empty_dict, from_list, 1);
+                if (unlikely(!module)) {
+                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
+                        goto bad;
+                    PyErr_Clear();
+                }
+            }
+            level = 0;
+        }
+        #endif
+        if (!module) {
+            #if PY_MAJOR_VERSION < 3
+            PyObject *py_level = PyInt_FromLong(level);
+            if (unlikely(!py_level))
+                goto bad;
+            module = PyObject_CallFunctionObjArgs(py_import,
+                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
+            Py_DECREF(py_level);
+            #else
+            module = PyImport_ImportModuleLevelObject(
+                name, __pyx_d, empty_dict, from_list, level);
+            #endif
+        }
+    }
+bad:
+    Py_XDECREF(empty_dict);
+    Py_XDECREF(empty_list);
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_import);
+    #endif
+    return module;
+}
+
+/* ImportDottedModule */
+  #if PY_MAJOR_VERSION >= 3
+static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
+    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
+    if (unlikely(PyErr_Occurred())) {
+        PyErr_Clear();
+    }
+    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
+        partial_name = name;
+    } else {
+        slice = PySequence_GetSlice(parts_tuple, 0, count);
+        if (unlikely(!slice))
+            goto bad;
+        sep = PyUnicode_FromStringAndSize(".", 1);
+        if (unlikely(!sep))
+            goto bad;
+        partial_name = PyUnicode_Join(sep, slice);
+    }
+    PyErr_Format(
+#if PY_MAJOR_VERSION < 3
+        PyExc_ImportError,
+        "No module named '%s'", PyString_AS_STRING(partial_name));
+#else
+#if PY_VERSION_HEX >= 0x030600B1
+        PyExc_ModuleNotFoundError,
+#else
+        PyExc_ImportError,
+#endif
+        "No module named '%U'", partial_name);
+#endif
+bad:
+    Py_XDECREF(sep);
+    Py_XDECREF(slice);
+    Py_XDECREF(partial_name);
+    return NULL;
+}
+#endif
+#if PY_MAJOR_VERSION >= 3
+static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
+    PyObject *imported_module;
+#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
+    PyObject *modules = PyImport_GetModuleDict();
+    if (unlikely(!modules))
+        return NULL;
+    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
+    Py_XINCREF(imported_module);
+#else
+    imported_module = PyImport_GetModule(name);
+#endif
+    return imported_module;
+}
+#endif
+#if PY_MAJOR_VERSION >= 3
+static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
+    Py_ssize_t i, nparts;
+    nparts = PyTuple_GET_SIZE(parts_tuple);
+    for (i=1; i < nparts && module; i++) {
+        PyObject *part, *submodule;
+#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+        part = PyTuple_GET_ITEM(parts_tuple, i);
+#else
+        part = PySequence_ITEM(parts_tuple, i);
+#endif
+        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
+#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
+        Py_DECREF(part);
+#endif
+        Py_DECREF(module);
+        module = submodule;
+    }
+    if (unlikely(!module)) {
+        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
+    }
+    return module;
+}
+#endif
+static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
+#if PY_MAJOR_VERSION < 3
+    PyObject *module, *from_list, *star = __pyx_n_s__3;
+    CYTHON_UNUSED_VAR(parts_tuple);
+    from_list = PyList_New(1);
+    if (unlikely(!from_list))
+        return NULL;
+    Py_INCREF(star);
+    PyList_SET_ITEM(from_list, 0, star);
+    module = __Pyx_Import(name, from_list, 0);
+    Py_DECREF(from_list);
+    return module;
+#else
+    PyObject *imported_module;
+    PyObject *module = __Pyx_Import(name, NULL, 0);
+    if (!parts_tuple || unlikely(!module))
+        return module;
+    imported_module = __Pyx__ImportDottedModule_Lookup(name);
+    if (likely(imported_module)) {
+        Py_DECREF(module);
+        return imported_module;
+    }
+    PyErr_Clear();
+    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
+#endif
+}
+static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
+    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
+    if (likely(module)) {
+        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
+        if (likely(spec)) {
+            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
+            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
+                Py_DECREF(spec);
+                spec = NULL;
+            }
+            Py_XDECREF(unsafe);
+        }
+        if (likely(!spec)) {
+            PyErr_Clear();
+            return module;
+        }
+        Py_DECREF(spec);
+        Py_DECREF(module);
+    } else if (PyErr_Occurred()) {
+        PyErr_Clear();
+    }
+#endif
+    return __Pyx__ImportDottedModule(name, parts_tuple);
+}
+
+/* FixUpExtensionType */
+  #if CYTHON_USE_TYPE_SPECS
+static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
+#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
+    CYTHON_UNUSED_VAR(spec);
+    CYTHON_UNUSED_VAR(type);
+#else
+    const PyType_Slot *slot = spec->slots;
+    while (slot && slot->slot && slot->slot != Py_tp_members)
+        slot++;
+    if (slot && slot->slot == Py_tp_members) {
+        int changed = 0;
+#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
+        const
+#endif
+            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
+        while (memb && memb->name) {
+            if (memb->name[0] == '_' && memb->name[1] == '_') {
+#if PY_VERSION_HEX < 0x030900b1
+                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
+                    assert(memb->type == T_PYSSIZET);
+                    assert(memb->flags == READONLY);
+                    type->tp_weaklistoffset = memb->offset;
+                    changed = 1;
+                }
+                else if (strcmp(memb->name, "__dictoffset__") == 0) {
+                    assert(memb->type == T_PYSSIZET);
+                    assert(memb->flags == READONLY);
+                    type->tp_dictoffset = memb->offset;
+                    changed = 1;
+                }
+#if CYTHON_METH_FASTCALL
+                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
+                    assert(memb->type == T_PYSSIZET);
+                    assert(memb->flags == READONLY);
+#if PY_VERSION_HEX >= 0x030800b4
+                    type->tp_vectorcall_offset = memb->offset;
+#else
+                    type->tp_print = (printfunc) memb->offset;
+#endif
+                    changed = 1;
+                }
+#endif
+#else
+                if ((0));
+#endif
+#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
+                else if (strcmp(memb->name, "__module__") == 0) {
+                    PyObject *descr;
+                    assert(memb->type == T_OBJECT);
+                    assert(memb->flags == 0 || memb->flags == READONLY);
+                    descr = PyDescr_NewMember(type, memb);
+                    if (unlikely(!descr))
+                        return -1;
+                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
+                        Py_DECREF(descr);
+                        return -1;
+                    }
+                    Py_DECREF(descr);
+                    changed = 1;
+                }
+#endif
+            }
+            memb++;
+        }
+        if (changed)
+            PyType_Modified(type);
+    }
+#endif
+    return 0;
+}
+#endif
+
+/* FetchSharedCythonModule */
+  static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
+    return __Pyx_PyImport_AddModuleRef((char*) __PYX_ABI_MODULE_NAME);
+}
+
+/* FetchCommonType */
+  static int __Pyx_VerifyCachedType(PyObject *cached_type,
+                               const char *name,
+                               Py_ssize_t basicsize,
+                               Py_ssize_t expected_basicsize) {
+    if (!PyType_Check(cached_type)) {
+        PyErr_Format(PyExc_TypeError,
+            "Shared Cython type %.200s is not a type object", name);
+        return -1;
+    }
+    if (basicsize != expected_basicsize) {
+        PyErr_Format(PyExc_TypeError,
+            "Shared Cython type %.200s has the wrong size, try recompiling",
+            name);
+        return -1;
+    }
+    return 0;
+}
+#if !CYTHON_USE_TYPE_SPECS
+static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
+    PyObject* abi_module;
+    const char* object_name;
+    PyTypeObject *cached_type = NULL;
+    abi_module = __Pyx_FetchSharedCythonABIModule();
+    if (!abi_module) return NULL;
+    object_name = strrchr(type->tp_name, '.');
+    object_name = object_name ? object_name+1 : type->tp_name;
+    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
+    if (cached_type) {
+        if (__Pyx_VerifyCachedType(
+              (PyObject *)cached_type,
+              object_name,
+              cached_type->tp_basicsize,
+              type->tp_basicsize) < 0) {
+            goto bad;
+        }
+        goto done;
+    }
+    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
+    PyErr_Clear();
+    if (PyType_Ready(type) < 0) goto bad;
+    if (PyObject_SetAttrString(abi_module, object_name, (PyObject *)type) < 0)
+        goto bad;
+    Py_INCREF(type);
+    cached_type = type;
+done:
+    Py_DECREF(abi_module);
+    return cached_type;
+bad:
+    Py_XDECREF(cached_type);
+    cached_type = NULL;
+    goto done;
+}
+#else
+static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
+    PyObject *abi_module, *cached_type = NULL;
+    const char* object_name = strrchr(spec->name, '.');
+    object_name = object_name ? object_name+1 : spec->name;
+    abi_module = __Pyx_FetchSharedCythonABIModule();
+    if (!abi_module) return NULL;
+    cached_type = PyObject_GetAttrString(abi_module, object_name);
+    if (cached_type) {
+        Py_ssize_t basicsize;
+#if CYTHON_COMPILING_IN_LIMITED_API
+        PyObject *py_basicsize;
+        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
+        if (unlikely(!py_basicsize)) goto bad;
+        basicsize = PyLong_AsSsize_t(py_basicsize);
+        Py_DECREF(py_basicsize);
+        py_basicsize = 0;
+        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
+#else
+        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
+#endif
+        if (__Pyx_VerifyCachedType(
+              cached_type,
+              object_name,
+              basicsize,
+              spec->basicsize) < 0) {
+            goto bad;
+        }
+        goto done;
+    }
+    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
+    PyErr_Clear();
+    CYTHON_UNUSED_VAR(module);
+    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
+    if (unlikely(!cached_type)) goto bad;
+    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
+    if (PyObject_SetAttrString(abi_module, object_name, cached_type) < 0) goto bad;
+done:
+    Py_DECREF(abi_module);
+    assert(cached_type == NULL || PyType_Check(cached_type));
+    return (PyTypeObject *) cached_type;
+bad:
+    Py_XDECREF(cached_type);
+    cached_type = NULL;
+    goto done;
+}
+#endif
+
+/* PyVectorcallFastCallDict */
+  #if CYTHON_METH_FASTCALL
+static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
+{
+    PyObject *res = NULL;
+    PyObject *kwnames;
+    PyObject **newargs;
+    PyObject **kwvalues;
+    Py_ssize_t i, pos;
+    size_t j;
+    PyObject *key, *value;
+    unsigned long keys_are_strings;
+    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
+    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
+    if (unlikely(newargs == NULL)) {
+        PyErr_NoMemory();
+        return NULL;
+    }
+    for (j = 0; j < nargs; j++) newargs[j] = args[j];
+    kwnames = PyTuple_New(nkw);
+    if (unlikely(kwnames == NULL)) {
+        PyMem_Free(newargs);
+        return NULL;
+    }
+    kwvalues = newargs + nargs;
+    pos = i = 0;
+    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
+    while (PyDict_Next(kw, &pos, &key, &value)) {
+        keys_are_strings &= Py_TYPE(key)->tp_flags;
+        Py_INCREF(key);
+        Py_INCREF(value);
+        PyTuple_SET_ITEM(kwnames, i, key);
+        kwvalues[i] = value;
+        i++;
+    }
+    if (unlikely(!keys_are_strings)) {
+        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
+        goto cleanup;
+    }
+    res = vc(func, newargs, nargs, kwnames);
+cleanup:
+    Py_DECREF(kwnames);
+    for (i = 0; i < nkw; i++)
+        Py_DECREF(kwvalues[i]);
+    PyMem_Free(newargs);
+    return res;
+}
+static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
+{
+    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
+        return vc(func, args, nargs, NULL);
+    }
+    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
+}
+#endif
+
+/* CythonFunctionShared */
+  #if CYTHON_COMPILING_IN_LIMITED_API
+static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
+    if (__Pyx_CyFunction_Check(func)) {
+        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
+    } else if (PyCFunction_Check(func)) {
+        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
+    }
+    return 0;
+}
+#else
+static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
+    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
+}
+#endif
+static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
+#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
+    __Pyx_Py_XDECREF_SET(
+        __Pyx_CyFunction_GetClassObj(f),
+            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
+#else
+    __Pyx_Py_XDECREF_SET(
+        ((PyCMethodObject *) (f))->mm_class,
+        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
+#endif
+}
+static PyObject *
+__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
+{
+    CYTHON_UNUSED_VAR(closure);
+    if (unlikely(op->func_doc == NULL)) {
+#if CYTHON_COMPILING_IN_LIMITED_API
+        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
+        if (unlikely(!op->func_doc)) return NULL;
+#else
+        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
+#if PY_MAJOR_VERSION >= 3
+            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
+#else
+            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
+#endif
+            if (unlikely(op->func_doc == NULL))
+                return NULL;
+        } else {
+            Py_INCREF(Py_None);
+            return Py_None;
+        }
+#endif
+    }
+    Py_INCREF(op->func_doc);
+    return op->func_doc;
+}
+static int
+__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    if (value == NULL) {
+        value = Py_None;
+    }
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->func_doc, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(op->func_name == NULL)) {
+#if CYTHON_COMPILING_IN_LIMITED_API
+        op->func_name = PyObject_GetAttrString(op->func, "__name__");
+#elif PY_MAJOR_VERSION >= 3
+        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
+#else
+        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
+#endif
+        if (unlikely(op->func_name == NULL))
+            return NULL;
+    }
+    Py_INCREF(op->func_name);
+    return op->func_name;
+}
+static int
+__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+#if PY_MAJOR_VERSION >= 3
+    if (unlikely(value == NULL || !PyUnicode_Check(value)))
+#else
+    if (unlikely(value == NULL || !PyString_Check(value)))
+#endif
+    {
+        PyErr_SetString(PyExc_TypeError,
+                        "__name__ must be set to a string object");
+        return -1;
+    }
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->func_name, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    Py_INCREF(op->func_qualname);
+    return op->func_qualname;
+}
+static int
+__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+#if PY_MAJOR_VERSION >= 3
+    if (unlikely(value == NULL || !PyUnicode_Check(value)))
+#else
+    if (unlikely(value == NULL || !PyString_Check(value)))
+#endif
+    {
+        PyErr_SetString(PyExc_TypeError,
+                        "__qualname__ must be set to a string object");
+        return -1;
+    }
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(op->func_dict == NULL)) {
+        op->func_dict = PyDict_New();
+        if (unlikely(op->func_dict == NULL))
+            return NULL;
+    }
+    Py_INCREF(op->func_dict);
+    return op->func_dict;
+}
+static int
+__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(value == NULL)) {
+        PyErr_SetString(PyExc_TypeError,
+               "function's dictionary may not be deleted");
+        return -1;
+    }
+    if (unlikely(!PyDict_Check(value))) {
+        PyErr_SetString(PyExc_TypeError,
+               "setting function's dictionary to a non-dict");
+        return -1;
+    }
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->func_dict, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
+{
+    CYTHON_UNUSED_VAR(context);
+    Py_INCREF(op->func_globals);
+    return op->func_globals;
+}
+static PyObject *
+__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
+{
+    CYTHON_UNUSED_VAR(op);
+    CYTHON_UNUSED_VAR(context);
+    Py_INCREF(Py_None);
+    return Py_None;
+}
+static PyObject *
+__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
+{
+    PyObject* result = (op->func_code) ? op->func_code : Py_None;
+    CYTHON_UNUSED_VAR(context);
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
+    int result = 0;
+    PyObject *res = op->defaults_getter((PyObject *) op);
+    if (unlikely(!res))
+        return -1;
+    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
+    Py_INCREF(op->defaults_tuple);
+    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
+    Py_INCREF(op->defaults_kwdict);
+    #else
+    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
+    if (unlikely(!op->defaults_tuple)) result = -1;
+    else {
+        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
+        if (unlikely(!op->defaults_kwdict)) result = -1;
+    }
+    #endif
+    Py_DECREF(res);
+    return result;
+}
+static int
+__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
+    CYTHON_UNUSED_VAR(context);
+    if (!value) {
+        value = Py_None;
+    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__defaults__ must be set to a tuple object");
+        return -1;
+    }
+    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
+                 "currently affect the values used in function calls", 1);
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
+    PyObject* result = op->defaults_tuple;
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(!result)) {
+        if (op->defaults_getter) {
+            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
+            result = op->defaults_tuple;
+        } else {
+            result = Py_None;
+        }
+    }
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
+    CYTHON_UNUSED_VAR(context);
+    if (!value) {
+        value = Py_None;
+    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__kwdefaults__ must be set to a dict object");
+        return -1;
+    }
+    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
+                 "currently affect the values used in function calls", 1);
+    Py_INCREF(value);
+    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
+    PyObject* result = op->defaults_kwdict;
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(!result)) {
+        if (op->defaults_getter) {
+            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
+            result = op->defaults_kwdict;
+        } else {
+            result = Py_None;
+        }
+    }
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
+    CYTHON_UNUSED_VAR(context);
+    if (!value || value == Py_None) {
+        value = NULL;
+    } else if (unlikely(!PyDict_Check(value))) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__annotations__ must be set to a dict object");
+        return -1;
+    }
+    Py_XINCREF(value);
+    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
+    PyObject* result = op->func_annotations;
+    CYTHON_UNUSED_VAR(context);
+    if (unlikely(!result)) {
+        result = PyDict_New();
+        if (unlikely(!result)) return NULL;
+        op->func_annotations = result;
+    }
+    Py_INCREF(result);
+    return result;
+}
+static PyObject *
+__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
+    int is_coroutine;
+    CYTHON_UNUSED_VAR(context);
+    if (op->func_is_coroutine) {
+        return __Pyx_NewRef(op->func_is_coroutine);
+    }
+    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
+#if PY_VERSION_HEX >= 0x03050000
+    if (is_coroutine) {
+        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
+        fromlist = PyList_New(1);
+        if (unlikely(!fromlist)) return NULL;
+        Py_INCREF(marker);
+#if CYTHON_ASSUME_SAFE_MACROS
+        PyList_SET_ITEM(fromlist, 0, marker);
+#else
+        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
+            Py_DECREF(marker);
+            Py_DECREF(fromlist);
+            return NULL;
+        }
+#endif
+        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
+        Py_DECREF(fromlist);
+        if (unlikely(!module)) goto ignore;
+        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
+        Py_DECREF(module);
+        if (likely(op->func_is_coroutine)) {
+            return __Pyx_NewRef(op->func_is_coroutine);
+        }
+ignore:
+        PyErr_Clear();
+    }
+#endif
+    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
+    return __Pyx_NewRef(op->func_is_coroutine);
+}
+#if CYTHON_COMPILING_IN_LIMITED_API
+static PyObject *
+__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
+    CYTHON_UNUSED_VAR(context);
+    return PyObject_GetAttrString(op->func, "__module__");
+}
+static int
+__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
+    CYTHON_UNUSED_VAR(context);
+    return PyObject_SetAttrString(op->func, "__module__", value);
+}
+#endif
+static PyGetSetDef __pyx_CyFunction_getsets[] = {
+    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
+    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
+    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
+    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
+    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
+    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
+    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
+    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
+    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
+    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
+    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
+    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
+    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
+    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
+    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
+    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
+    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
+    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
+#if CYTHON_COMPILING_IN_LIMITED_API
+    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
+#endif
+    {0, 0, 0, 0, 0}
+};
+static PyMemberDef __pyx_CyFunction_members[] = {
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
+#endif
+#if CYTHON_USE_TYPE_SPECS
+    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
+#if CYTHON_METH_FASTCALL
+#if CYTHON_BACKPORT_VECTORCALL
+    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
+#else
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
+#endif
+#endif
+#endif
+#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
+    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
+#else
+    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
+#endif
+#endif
+    {0, 0, 0,  0, 0}
+};
+static PyObject *
+__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
+{
+    CYTHON_UNUSED_VAR(args);
+#if PY_MAJOR_VERSION >= 3
+    Py_INCREF(m->func_qualname);
+    return m->func_qualname;
+#else
+    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
+#endif
+}
+static PyMethodDef __pyx_CyFunction_methods[] = {
+    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
+    {0, 0, 0, 0}
+};
+#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
+#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
+#else
+#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
+#endif
+static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
+                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    PyCFunctionObject *cf = (PyCFunctionObject*) op;
+#endif
+    if (unlikely(op == NULL))
+        return NULL;
+#if CYTHON_COMPILING_IN_LIMITED_API
+    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
+    if (unlikely(!op->func)) return NULL;
+#endif
+    op->flags = flags;
+    __Pyx_CyFunction_weakreflist(op) = NULL;
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    cf->m_ml = ml;
+    cf->m_self = (PyObject *) op;
+#endif
+    Py_XINCREF(closure);
+    op->func_closure = closure;
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    Py_XINCREF(module);
+    cf->m_module = module;
+#endif
+    op->func_dict = NULL;
+    op->func_name = NULL;
+    Py_INCREF(qualname);
+    op->func_qualname = qualname;
+    op->func_doc = NULL;
+#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
+    op->func_classobj = NULL;
+#else
+    ((PyCMethodObject*)op)->mm_class = NULL;
+#endif
+    op->func_globals = globals;
+    Py_INCREF(op->func_globals);
+    Py_XINCREF(code);
+    op->func_code = code;
+    op->defaults_pyobjects = 0;
+    op->defaults_size = 0;
+    op->defaults = NULL;
+    op->defaults_tuple = NULL;
+    op->defaults_kwdict = NULL;
+    op->defaults_getter = NULL;
+    op->func_annotations = NULL;
+    op->func_is_coroutine = NULL;
+#if CYTHON_METH_FASTCALL
+    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
+    case METH_NOARGS:
+        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
+        break;
+    case METH_O:
+        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
+        break;
+    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
+        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
+        break;
+    case METH_FASTCALL | METH_KEYWORDS:
+        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
+        break;
+    case METH_VARARGS | METH_KEYWORDS:
+        __Pyx_CyFunction_func_vectorcall(op) = NULL;
+        break;
+    default:
+        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
+        Py_DECREF(op);
+        return NULL;
+    }
+#endif
+    return (PyObject *) op;
+}
+static int
+__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
+{
+    Py_CLEAR(m->func_closure);
+#if CYTHON_COMPILING_IN_LIMITED_API
+    Py_CLEAR(m->func);
+#else
+    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
+#endif
+    Py_CLEAR(m->func_dict);
+    Py_CLEAR(m->func_name);
+    Py_CLEAR(m->func_qualname);
+    Py_CLEAR(m->func_doc);
+    Py_CLEAR(m->func_globals);
+    Py_CLEAR(m->func_code);
+#if !CYTHON_COMPILING_IN_LIMITED_API
+#if PY_VERSION_HEX < 0x030900B1
+    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
+#else
+    {
+        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
+        ((PyCMethodObject *) (m))->mm_class = NULL;
+        Py_XDECREF(cls);
+    }
+#endif
+#endif
+    Py_CLEAR(m->defaults_tuple);
+    Py_CLEAR(m->defaults_kwdict);
+    Py_CLEAR(m->func_annotations);
+    Py_CLEAR(m->func_is_coroutine);
+    if (m->defaults) {
+        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
+        int i;
+        for (i = 0; i < m->defaults_pyobjects; i++)
+            Py_XDECREF(pydefaults[i]);
+        PyObject_Free(m->defaults);
+        m->defaults = NULL;
+    }
+    return 0;
+}
+static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
+{
+    if (__Pyx_CyFunction_weakreflist(m) != NULL)
+        PyObject_ClearWeakRefs((PyObject *) m);
+    __Pyx_CyFunction_clear(m);
+    __Pyx_PyHeapTypeObject_GC_Del(m);
+}
+static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
+{
+    PyObject_GC_UnTrack(m);
+    __Pyx__CyFunction_dealloc(m);
+}
+static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
+{
+    Py_VISIT(m->func_closure);
+#if CYTHON_COMPILING_IN_LIMITED_API
+    Py_VISIT(m->func);
+#else
+    Py_VISIT(((PyCFunctionObject*)m)->m_module);
+#endif
+    Py_VISIT(m->func_dict);
+    Py_VISIT(m->func_name);
+    Py_VISIT(m->func_qualname);
+    Py_VISIT(m->func_doc);
+    Py_VISIT(m->func_globals);
+    Py_VISIT(m->func_code);
+#if !CYTHON_COMPILING_IN_LIMITED_API
+    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
+#endif
+    Py_VISIT(m->defaults_tuple);
+    Py_VISIT(m->defaults_kwdict);
+    Py_VISIT(m->func_is_coroutine);
+    if (m->defaults) {
+        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
+        int i;
+        for (i = 0; i < m->defaults_pyobjects; i++)
+            Py_VISIT(pydefaults[i]);
+    }
+    return 0;
+}
+static PyObject*
+__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
+{
+#if PY_MAJOR_VERSION >= 3
+    return PyUnicode_FromFormat("<cyfunction %U at %p>",
+                                op->func_qualname, (void *)op);
+#else
+    return PyString_FromFormat("<cyfunction %s at %p>",
+                               PyString_AsString(op->func_qualname), (void *)op);
+#endif
+}
+static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
+#if CYTHON_COMPILING_IN_LIMITED_API
+    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
+    PyObject *py_name = NULL;
+    PyCFunction meth;
+    int flags;
+    meth = PyCFunction_GetFunction(f);
+    if (unlikely(!meth)) return NULL;
+    flags = PyCFunction_GetFlags(f);
+    if (unlikely(flags < 0)) return NULL;
+#else
+    PyCFunctionObject* f = (PyCFunctionObject*)func;
+    PyCFunction meth = f->m_ml->ml_meth;
+    int flags = f->m_ml->ml_flags;
+#endif
+    Py_ssize_t size;
+    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
+    case METH_VARARGS:
+        if (likely(kw == NULL || PyDict_Size(kw) == 0))
+            return (*meth)(self, arg);
+        break;
+    case METH_VARARGS | METH_KEYWORDS:
+        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
+    case METH_NOARGS:
+        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
+#if CYTHON_ASSUME_SAFE_MACROS
+            size = PyTuple_GET_SIZE(arg);
+#else
+            size = PyTuple_Size(arg);
+            if (unlikely(size < 0)) return NULL;
+#endif
+            if (likely(size == 0))
+                return (*meth)(self, NULL);
+#if CYTHON_COMPILING_IN_LIMITED_API
+            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
+            if (!py_name) return NULL;
+            PyErr_Format(PyExc_TypeError,
+                "%.200S() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                py_name, size);
+            Py_DECREF(py_name);
+#else
+            PyErr_Format(PyExc_TypeError,
+                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                f->m_ml->ml_name, size);
+#endif
+            return NULL;
+        }
+        break;
+    case METH_O:
+        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
+#if CYTHON_ASSUME_SAFE_MACROS
+            size = PyTuple_GET_SIZE(arg);
+#else
+            size = PyTuple_Size(arg);
+            if (unlikely(size < 0)) return NULL;
+#endif
+            if (likely(size == 1)) {
+                PyObject *result, *arg0;
+                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
+                arg0 = PyTuple_GET_ITEM(arg, 0);
+                #else
+                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
+                #endif
+                result = (*meth)(self, arg0);
+                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
+                Py_DECREF(arg0);
+                #endif
+                return result;
+            }
+#if CYTHON_COMPILING_IN_LIMITED_API
+            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
+            if (!py_name) return NULL;
+            PyErr_Format(PyExc_TypeError,
+                "%.200S() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                py_name, size);
+            Py_DECREF(py_name);
+#else
+            PyErr_Format(PyExc_TypeError,
+                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
+                f->m_ml->ml_name, size);
+#endif
+            return NULL;
+        }
+        break;
+    default:
+        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
+        return NULL;
+    }
+#if CYTHON_COMPILING_IN_LIMITED_API
+    py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
+    if (!py_name) return NULL;
+    PyErr_Format(PyExc_TypeError, "%.200S() takes no keyword arguments",
+                 py_name);
+    Py_DECREF(py_name);
+#else
+    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
+                 f->m_ml->ml_name);
+#endif
+    return NULL;
+}
+static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+    PyObject *self, *result;
+#if CYTHON_COMPILING_IN_LIMITED_API
+    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
+    if (unlikely(!self) && PyErr_Occurred()) return NULL;
+#else
+    self = ((PyCFunctionObject*)func)->m_self;
+#endif
+    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
+    return result;
+}
+static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
+    PyObject *result;
+    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
+#if CYTHON_METH_FASTCALL
+     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
+    if (vc) {
+#if CYTHON_ASSUME_SAFE_MACROS
+        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
+#else
+        (void) &__Pyx_PyVectorcall_FastCallDict;
+        return PyVectorcall_Call(func, args, kw);
+#endif
+    }
+#endif
+    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
+        Py_ssize_t argc;
+        PyObject *new_args;
+        PyObject *self;
+#if CYTHON_ASSUME_SAFE_MACROS
+        argc = PyTuple_GET_SIZE(args);
+#else
+        argc = PyTuple_Size(args);
+        if (unlikely(!argc) < 0) return NULL;
+#endif
+        new_args = PyTuple_GetSlice(args, 1, argc);
+        if (unlikely(!new_args))
+            return NULL;
+        self = PyTuple_GetItem(args, 0);
+        if (unlikely(!self)) {
+            Py_DECREF(new_args);
+#if PY_MAJOR_VERSION > 2
+            PyErr_Format(PyExc_TypeError,
+                         "unbound method %.200S() needs an argument",
+                         cyfunc->func_qualname);
+#else
+            PyErr_SetString(PyExc_TypeError,
+                            "unbound method needs an argument");
+#endif
+            return NULL;
+        }
+        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
+        Py_DECREF(new_args);
+    } else {
+        result = __Pyx_CyFunction_Call(func, args, kw);
+    }
+    return result;
+}
+#if CYTHON_METH_FASTCALL
+static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
+{
+    int ret = 0;
+    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
+        if (unlikely(nargs < 1)) {
+            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
+                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
+            return -1;
+        }
+        ret = 1;
+    }
+    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
+        PyErr_Format(PyExc_TypeError,
+                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
+        return -1;
+    }
+    return ret;
+}
+static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
+{
+    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
+    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
+#if CYTHON_BACKPORT_VECTORCALL
+    Py_ssize_t nargs = (Py_ssize_t)nargsf;
+#else
+    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
+#endif
+    PyObject *self;
+    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
+    case 1:
+        self = args[0];
+        args += 1;
+        nargs -= 1;
+        break;
+    case 0:
+        self = ((PyCFunctionObject*)cyfunc)->m_self;
+        break;
+    default:
+        return NULL;
+    }
+    if (unlikely(nargs != 0)) {
+        PyErr_Format(PyExc_TypeError,
+            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
+            def->ml_name, nargs);
+        return NULL;
+    }
+    return def->ml_meth(self, NULL);
+}
+static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
+{
+    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
+    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
+#if CYTHON_BACKPORT_VECTORCALL
+    Py_ssize_t nargs = (Py_ssize_t)nargsf;
+#else
+    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
+#endif
+    PyObject *self;
+    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
+    case 1:
+        self = args[0];
+        args += 1;
+        nargs -= 1;
+        break;
+    case 0:
+        self = ((PyCFunctionObject*)cyfunc)->m_self;
+        break;
+    default:
+        return NULL;
+    }
+    if (unlikely(nargs != 1)) {
+        PyErr_Format(PyExc_TypeError,
+            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
+            def->ml_name, nargs);
+        return NULL;
+    }
+    return def->ml_meth(self, args[0]);
+}
+static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
+{
+    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
+    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
+#if CYTHON_BACKPORT_VECTORCALL
+    Py_ssize_t nargs = (Py_ssize_t)nargsf;
+#else
+    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
+#endif
+    PyObject *self;
+    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
+    case 1:
+        self = args[0];
+        args += 1;
+        nargs -= 1;
+        break;
+    case 0:
+        self = ((PyCFunctionObject*)cyfunc)->m_self;
+        break;
+    default:
+        return NULL;
+    }
+    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
+}
+static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
+{
+    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
+    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
+    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
+#if CYTHON_BACKPORT_VECTORCALL
+    Py_ssize_t nargs = (Py_ssize_t)nargsf;
+#else
+    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
+#endif
+    PyObject *self;
+    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
+    case 1:
+        self = args[0];
+        args += 1;
+        nargs -= 1;
+        break;
+    case 0:
+        self = ((PyCFunctionObject*)cyfunc)->m_self;
+        break;
+    default:
+        return NULL;
+    }
+    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
+}
+#endif
+#if CYTHON_USE_TYPE_SPECS
+static PyType_Slot __pyx_CyFunctionType_slots[] = {
+    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
+    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
+    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
+    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
+    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
+    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
+    {Py_tp_members, (void *)__pyx_CyFunction_members},
+    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
+    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
+    {0, 0},
+};
+static PyType_Spec __pyx_CyFunctionType_spec = {
+    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
+    sizeof(__pyx_CyFunctionObject),
+    0,
+#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
+    Py_TPFLAGS_METHOD_DESCRIPTOR |
+#endif
+#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
+    _Py_TPFLAGS_HAVE_VECTORCALL |
+#endif
+    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
+    __pyx_CyFunctionType_slots
+};
+#else
+static PyTypeObject __pyx_CyFunctionType_type = {
+    PyVarObject_HEAD_INIT(0, 0)
+    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
+    sizeof(__pyx_CyFunctionObject),
+    0,
+    (destructor) __Pyx_CyFunction_dealloc,
+#if !CYTHON_METH_FASTCALL
+    0,
+#elif CYTHON_BACKPORT_VECTORCALL
+    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
+#else
+    offsetof(PyCFunctionObject, vectorcall),
+#endif
+    0,
+    0,
+#if PY_MAJOR_VERSION < 3
+    0,
+#else
+    0,
+#endif
+    (reprfunc) __Pyx_CyFunction_repr,
+    0,
+    0,
+    0,
+    0,
+    __Pyx_CyFunction_CallAsMethod,
+    0,
+    0,
+    0,
+    0,
+#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
+    Py_TPFLAGS_METHOD_DESCRIPTOR |
+#endif
+#if defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL
+    _Py_TPFLAGS_HAVE_VECTORCALL |
+#endif
+    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
+    0,
+    (traverseproc) __Pyx_CyFunction_traverse,
+    (inquiry) __Pyx_CyFunction_clear,
+    0,
+#if PY_VERSION_HEX < 0x030500A0
+    offsetof(__pyx_CyFunctionObject, func_weakreflist),
+#else
+    offsetof(PyCFunctionObject, m_weakreflist),
+#endif
+    0,
+    0,
+    __pyx_CyFunction_methods,
+    __pyx_CyFunction_members,
+    __pyx_CyFunction_getsets,
+    0,
+    0,
+    __Pyx_PyMethod_New,
+    0,
+    offsetof(__pyx_CyFunctionObject, func_dict),
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+    0,
+#if PY_VERSION_HEX >= 0x030400a1
+    0,
+#endif
+#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
+    0,
+#endif
+#if __PYX_NEED_TP_PRINT_SLOT
+    0,
+#endif
+#if PY_VERSION_HEX >= 0x030C0000
+    0,
+#endif
+#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
+    0,
+#endif
+};
+#endif
+static int __pyx_CyFunction_init(PyObject *module) {
+#if CYTHON_USE_TYPE_SPECS
+    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
+#else
+    CYTHON_UNUSED_VAR(module);
+    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
+#endif
+    if (unlikely(__pyx_CyFunctionType == NULL)) {
+        return -1;
+    }
+    return 0;
+}
+static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults = PyObject_Malloc(size);
+    if (unlikely(!m->defaults))
+        return PyErr_NoMemory();
+    memset(m->defaults, 0, size);
+    m->defaults_pyobjects = pyobjects;
+    m->defaults_size = size;
+    return m->defaults;
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults_tuple = tuple;
+    Py_INCREF(tuple);
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults_kwdict = dict;
+    Py_INCREF(dict);
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->func_annotations = dict;
+    Py_INCREF(dict);
+}
+
+/* CythonFunction */
+  static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
+                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
+    PyObject *op = __Pyx_CyFunction_Init(
+        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
+        ml, flags, qualname, closure, module, globals, code
+    );
+    if (likely(op)) {
+        PyObject_GC_Track(op);
+    }
+    return op;
+}
+
+/* PyDictVersioning */
+  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
+}
+static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
+    PyObject **dictptr = NULL;
+    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
+    if (offset) {
+#if CYTHON_COMPILING_IN_CPYTHON
+        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
+#else
+        dictptr = _PyObject_GetDictPtr(obj);
+#endif
+    }
+    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
+}
+static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
+    PyObject *dict = Py_TYPE(obj)->tp_dict;
+    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
+        return 0;
+    return obj_dict_version == __Pyx_get_object_dict_version(obj);
+}
+#endif
+
+/* CLineInTraceback */
+  #ifndef CYTHON_CLINE_IN_TRACEBACK
+static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
+    PyObject *use_cline;
+    PyObject *ptype, *pvalue, *ptraceback;
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyObject **cython_runtime_dict;
+#endif
+    CYTHON_MAYBE_UNUSED_VAR(tstate);
+    if (unlikely(!__pyx_cython_runtime)) {
+        return c_line;
+    }
+    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+#if CYTHON_COMPILING_IN_CPYTHON
+    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
+    if (likely(cython_runtime_dict)) {
+        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
+            use_cline, *cython_runtime_dict,
+            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
+    } else
+#endif
+    {
+      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
+      if (use_cline_obj) {
+        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
+        Py_DECREF(use_cline_obj);
+      } else {
+        PyErr_Clear();
+        use_cline = NULL;
+      }
+    }
+    if (!use_cline) {
+        c_line = 0;
+        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+    }
+    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
+        c_line = 0;
+    }
+    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+    return c_line;
+}
+#endif
+
+/* CodeObjectCache */
+  #if !CYTHON_COMPILING_IN_LIMITED_API
+static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
+    int start = 0, mid = 0, end = count - 1;
+    if (end >= 0 && code_line > entries[end].code_line) {
+        return count;
+    }
+    while (start < end) {
+        mid = start + (end - start) / 2;
+        if (code_line < entries[mid].code_line) {
+            end = mid;
+        } else if (code_line > entries[mid].code_line) {
+             start = mid + 1;
+        } else {
+            return mid;
+        }
+    }
+    if (code_line <= entries[mid].code_line) {
+        return mid;
+    } else {
+        return mid + 1;
+    }
+}
+static PyCodeObject *__pyx_find_code_object(int code_line) {
+    PyCodeObject* code_object;
+    int pos;
+    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
+        return NULL;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
+        return NULL;
+    }
+    code_object = __pyx_code_cache.entries[pos].code_object;
+    Py_INCREF(code_object);
+    return code_object;
+}
+static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
+    int pos, i;
+    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
+    if (unlikely(!code_line)) {
+        return;
+    }
+    if (unlikely(!entries)) {
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (likely(entries)) {
+            __pyx_code_cache.entries = entries;
+            __pyx_code_cache.max_count = 64;
+            __pyx_code_cache.count = 1;
+            entries[0].code_line = code_line;
+            entries[0].code_object = code_object;
+            Py_INCREF(code_object);
+        }
+        return;
+    }
+    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
+    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
+        PyCodeObject* tmp = entries[pos].code_object;
+        entries[pos].code_object = code_object;
+        Py_DECREF(tmp);
+        return;
+    }
+    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
+        int new_max = __pyx_code_cache.max_count + 64;
+        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
+            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+#endif
+
+/* AddTraceback */
+  #include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
+  #ifndef Py_BUILD_CORE
+    #define Py_BUILD_CORE 1
+  #endif
+  #include "internal/pycore_frame.h"
+#endif
+#if CYTHON_COMPILING_IN_LIMITED_API
+static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
+                                                       PyObject *firstlineno, PyObject *name) {
+    PyObject *replace = NULL;
+    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
+    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
+    replace = PyObject_GetAttrString(code, "replace");
+    if (likely(replace)) {
+        PyObject *result;
+        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
+        Py_DECREF(replace);
+        return result;
+    }
+    PyErr_Clear();
+    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
+    {
+        PyObject *compiled = NULL, *result = NULL;
+        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
+        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
+        compiled = Py_CompileString(
+            "out = type(code)(\n"
+            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
+            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
+            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
+            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
+        if (!compiled) return NULL;
+        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
+        Py_DECREF(compiled);
+        if (!result) PyErr_Print();
+        Py_DECREF(result);
+        result = PyDict_GetItemString(scratch_dict, "out");
+        if (result) Py_INCREF(result);
+        return result;
+    }
+    #else
+    return NULL;
+    #endif
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
+    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
+    PyObject *exc_type, *exc_value, *exc_traceback;
+    int success = 0;
+    if (c_line) {
+        (void) __pyx_cfilenm;
+        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
+    }
+    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
+    code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
+    if (unlikely(!code_object)) goto bad;
+    py_py_line = PyLong_FromLong(py_line);
+    if (unlikely(!py_py_line)) goto bad;
+    py_funcname = PyUnicode_FromString(funcname);
+    if (unlikely(!py_funcname)) goto bad;
+    dict = PyDict_New();
+    if (unlikely(!dict)) goto bad;
+    {
+        PyObject *old_code_object = code_object;
+        code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
+        Py_DECREF(old_code_object);
+    }
+    if (unlikely(!code_object)) goto bad;
+    getframe = PySys_GetObject("_getframe");
+    if (unlikely(!getframe)) goto bad;
+    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
+    frame = PyEval_EvalCode(code_object, dict, dict);
+    if (unlikely(!frame) || frame == Py_None) goto bad;
+    success = 1;
+  bad:
+    PyErr_Restore(exc_type, exc_value, exc_traceback);
+    Py_XDECREF(code_object);
+    Py_XDECREF(py_py_line);
+    Py_XDECREF(py_funcname);
+    Py_XDECREF(dict);
+    Py_XDECREF(replace);
+    if (success) {
+        PyTraceBack_Here(
+            (struct _frame*)frame);
+    }
+    Py_XDECREF(frame);
+}
+#else
+static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
+            const char *funcname, int c_line,
+            int py_line, const char *filename) {
+    PyCodeObject *py_code = NULL;
+    PyObject *py_funcname = NULL;
+    #if PY_MAJOR_VERSION < 3
+    PyObject *py_srcfile = NULL;
+    py_srcfile = PyString_FromString(filename);
+    if (!py_srcfile) goto bad;
+    #endif
+    if (c_line) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        if (!py_funcname) goto bad;
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        if (!py_funcname) goto bad;
+        funcname = PyUnicode_AsUTF8(py_funcname);
+        if (!funcname) goto bad;
+        #endif
+    }
+    else {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromString(funcname);
+        if (!py_funcname) goto bad;
+        #endif
+    }
+    #if PY_MAJOR_VERSION < 3
+    py_code = __Pyx_PyCode_New(
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        __pyx_empty_bytes, /*PyObject *code,*/
+        __pyx_empty_tuple, /*PyObject *consts,*/
+        __pyx_empty_tuple, /*PyObject *names,*/
+        __pyx_empty_tuple, /*PyObject *varnames,*/
+        __pyx_empty_tuple, /*PyObject *freevars,*/
+        __pyx_empty_tuple, /*PyObject *cellvars,*/
+        py_srcfile,   /*PyObject *filename,*/
+        py_funcname,  /*PyObject *name,*/
+        py_line,
+        __pyx_empty_bytes  /*PyObject *lnotab*/
+    );
+    Py_DECREF(py_srcfile);
+    #else
+    py_code = PyCode_NewEmpty(filename, funcname, py_line);
+    #endif
+    Py_XDECREF(py_funcname);
+    return py_code;
+bad:
+    Py_XDECREF(py_funcname);
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_srcfile);
+    #endif
+    return NULL;
+}
+static void __Pyx_AddTraceback(const char *funcname, int c_line,
+                               int py_line, const char *filename) {
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+    PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject *ptype, *pvalue, *ptraceback;
+    if (c_line) {
+        c_line = __Pyx_CLineForTraceback(tstate, c_line);
+    }
+    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
+    if (!py_code) {
+        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
+        py_code = __Pyx_CreateCodeObjectForTraceback(
+            funcname, c_line, py_line, filename);
+        if (!py_code) {
+            /* If the code object creation fails, then we should clear the
+               fetched exception references and propagate the new exception */
+            Py_XDECREF(ptype);
+            Py_XDECREF(pvalue);
+            Py_XDECREF(ptraceback);
+            goto bad;
+        }
+        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
+        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
+    }
+    py_frame = PyFrame_New(
+        tstate,            /*PyThreadState *tstate,*/
+        py_code,           /*PyCodeObject *code,*/
+        __pyx_d,    /*PyObject *globals,*/
+        0                  /*PyObject *locals*/
+    );
+    if (!py_frame) goto bad;
+    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_code);
+    Py_XDECREF(py_frame);
+}
+#endif
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+    __Pyx_TypeName obj_type_name;
+    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
+    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
+    PyErr_Format(PyExc_TypeError,
+                 "'" __Pyx_FMT_TYPENAME "' does not have the buffer interface",
+                 obj_type_name);
+    __Pyx_DECREF_TypeName(obj_type_name);
+    return -1;
+}
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+    PyObject *obj = view->obj;
+    if (!obj) return;
+    if (PyObject_CheckBuffer(obj)) {
+        PyBuffer_Release(view);
+        return;
+    }
+    if ((0)) {}
+    view->obj = NULL;
+    Py_DECREF(obj);
+}
+#endif
+
+
+  /* CIntFromPyVerify */
+  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
+#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
+    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
+#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
+    {\
+        func_type value = func_value;\
+        if (sizeof(target_type) < sizeof(func_type)) {\
+            if (unlikely(value != (func_type) (target_type) value)) {\
+                func_type zero = 0;\
+                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
+                    return (target_type) -1;\
+                if (is_unsigned && unlikely(value < zero))\
+                    goto raise_neg_overflow;\
+                else\
+                    goto raise_overflow;\
+            }\
+        }\
+        return (target_type) value;\
+    }
+
+/* Declarations */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return ::std::complex< float >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      return x + y*(__pyx_t_float_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
+      __pyx_t_float_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        __pyx_t_float_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabsf(b.real) >= fabsf(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                float r = b.imag / b.real;
+                float s = (float)(1.0) / (b.real + b.imag * r);
+                return __pyx_t_float_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            float r = b.real / b.imag;
+            float s = (float)(1.0) / (b.imag + b.real * r);
+            return __pyx_t_float_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            float denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_float_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
+        __pyx_t_float_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrtf(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypotf(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
+            __pyx_t_float_complex z;
+            float r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    float denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        return __Pyx_c_prod_float(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_float(a, a);
+                        return __Pyx_c_prod_float(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if ((b.imag == 0) && (a.real >= 0)) {
+                    z.real = powf(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2f(0.0, -1.0);
+                }
+            } else {
+                r = __Pyx_c_abs_float(a);
+                theta = atan2f(a.imag, a.real);
+            }
+            lnr = logf(r);
+            z_r = expf(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cosf(z_theta);
+            z.imag = z_r * sinf(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* Declarations */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return ::std::complex< double >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      return x + y*(__pyx_t_double_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
+      __pyx_t_double_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        __pyx_t_double_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabs(b.real) >= fabs(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                double r = b.imag / b.real;
+                double s = (double)(1.0) / (b.real + b.imag * r);
+                return __pyx_t_double_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            double r = b.real / b.imag;
+            double s = (double)(1.0) / (b.imag + b.real * r);
+            return __pyx_t_double_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            double denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_double_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
+        __pyx_t_double_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrt(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypot(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
+            __pyx_t_double_complex z;
+            double r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    double denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        return __Pyx_c_prod_double(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_double(a, a);
+                        return __Pyx_c_prod_double(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if ((b.imag == 0) && (a.real >= 0)) {
+                    z.real = pow(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2(0.0, -1.0);
+                }
+            } else {
+                r = __Pyx_c_abs_double(a);
+                theta = atan2(a.imag, a.real);
+            }
+            lnr = log(r);
+            z_r = exp(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cos(z_theta);
+            z.imag = z_r * sin(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* Declarations */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+  #ifdef __cplusplus
+    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
+      return ::std::complex< long double >(x, y);
+    }
+  #else
+    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
+      return x + y*(__pyx_t_long_double_complex)_Complex_I;
+    }
+  #endif
+#else
+    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
+      __pyx_t_long_double_complex z;
+      z.real = x;
+      z.imag = y;
+      return z;
+    }
+#endif
+
+/* Arithmetic */
+  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
+#else
+    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+       return (a.real == b.real) && (a.imag == b.imag);
+    }
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+        __pyx_t_long_double_complex z;
+        z.real = a.real + b.real;
+        z.imag = a.imag + b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+        __pyx_t_long_double_complex z;
+        z.real = a.real - b.real;
+        z.imag = a.imag - b.imag;
+        return z;
+    }
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+        __pyx_t_long_double_complex z;
+        z.real = a.real * b.real - a.imag * b.imag;
+        z.imag = a.real * b.imag + a.imag * b.real;
+        return z;
+    }
+    #if 1
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else if (fabsl(b.real) >= fabsl(b.imag)) {
+            if (b.real == 0 && b.imag == 0) {
+                return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
+            } else {
+                long double r = b.imag / b.real;
+                long double s = (long double)(1.0) / (b.real + b.imag * r);
+                return __pyx_t_long_double_complex_from_parts(
+                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
+            }
+        } else {
+            long double r = b.real / b.imag;
+            long double s = (long double)(1.0) / (b.imag + b.real * r);
+            return __pyx_t_long_double_complex_from_parts(
+                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
+        }
+    }
+    #else
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+        if (b.imag == 0) {
+            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
+        } else {
+            long double denom = b.real * b.real + b.imag * b.imag;
+            return __pyx_t_long_double_complex_from_parts(
+                (a.real * b.real + a.imag * b.imag) / denom,
+                (a.imag * b.real - a.real * b.imag) / denom);
+        }
+    }
+    #endif
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {
+        __pyx_t_long_double_complex z;
+        z.real = -a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {
+       return (a.real == 0) && (a.imag == 0);
+    }
+    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {
+        __pyx_t_long_double_complex z;
+        z.real =  a.real;
+        z.imag = -a.imag;
+        return z;
+    }
+    #if 1
+        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {
+          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
+            return sqrtl(z.real*z.real + z.imag*z.imag);
+          #else
+            return hypotl(z.real, z.imag);
+          #endif
+        }
+        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
+            __pyx_t_long_double_complex z;
+            long double r, lnr, theta, z_r, z_theta;
+            if (b.imag == 0 && b.real == (int)b.real) {
+                if (b.real < 0) {
+                    long double denom = a.real * a.real + a.imag * a.imag;
+                    a.real = a.real / denom;
+                    a.imag = -a.imag / denom;
+                    b.real = -b.real;
+                }
+                switch ((int)b.real) {
+                    case 0:
+                        z.real = 1;
+                        z.imag = 0;
+                        return z;
+                    case 1:
+                        return a;
+                    case 2:
+                        return __Pyx_c_prod_long__double(a, a);
+                    case 3:
+                        z = __Pyx_c_prod_long__double(a, a);
+                        return __Pyx_c_prod_long__double(z, a);
+                    case 4:
+                        z = __Pyx_c_prod_long__double(a, a);
+                        return __Pyx_c_prod_long__double(z, z);
+                }
+            }
+            if (a.imag == 0) {
+                if (a.real == 0) {
+                    return a;
+                } else if ((b.imag == 0) && (a.real >= 0)) {
+                    z.real = powl(a.real, b.real);
+                    z.imag = 0;
+                    return z;
+                } else if (a.real > 0) {
+                    r = a.real;
+                    theta = 0;
+                } else {
+                    r = -a.real;
+                    theta = atan2l(0.0, -1.0);
+                }
+            } else {
+                r = __Pyx_c_abs_long__double(a);
+                theta = atan2l(a.imag, a.real);
+            }
+            lnr = logl(r);
+            z_r = expl(lnr * b.real - theta * b.imag);
+            z_theta = theta * b.real + lnr * b.imag;
+            z.real = z_r * cosl(z_theta);
+            z.imag = z_r * sinl(z_theta);
+            return z;
+        }
+    #endif
+#endif
+
+/* CIntFromPy */
+  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const int neg_one = (int) -1, const_zero = (int) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if ((sizeof(int) < sizeof(long))) {
+            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (int) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
+                goto raise_neg_overflow;
+            } else if (__Pyx_PyLong_IsCompact(x)) {
+                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
+            } else {
+                const digit* digits = __Pyx_PyLong_Digits(x);
+                assert(__Pyx_PyLong_DigitCount(x) > 1);
+                switch (__Pyx_PyLong_DigitCount(x)) {
+                    case 2:
+                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
+                                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                            }
+                        }
+                        break;
+                    case 3:
+                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
+                                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                            }
+                        }
+                        break;
+                    case 4:
+                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
+                                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
+                            }
+                        }
+                        break;
+                }
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (int) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if ((sizeof(int) <= sizeof(unsigned long))) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            if (__Pyx_PyLong_IsCompact(x)) {
+                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
+            } else {
+                const digit* digits = __Pyx_PyLong_Digits(x);
+                assert(__Pyx_PyLong_DigitCount(x) > 1);
+                switch (__Pyx_PyLong_SignedDigitCount(x)) {
+                    case -2:
+                        if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
+                                return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                    case 2:
+                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
+                                return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                    case -3:
+                        if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
+                                return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                    case 3:
+                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
+                                return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                    case -4:
+                        if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
+                                return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                    case 4:
+                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
+                                return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
+                            }
+                        }
+                        break;
+                }
+            }
+#endif
+            if ((sizeof(int) <= sizeof(long))) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
+                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+            int val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+#if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+#endif
+            if (likely(v)) {
+                int ret = -1;
+#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                           bytes, sizeof(val),
+                                           is_little, !is_unsigned);
+#else
+                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
+                int bits, remaining_bits, is_negative = 0;
+                long idigit;
+                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
+                if (unlikely(!PyLong_CheckExact(v))) {
+                    PyObject *tmp = v;
+                    v = PyNumber_Long(v);
+                    assert(PyLong_CheckExact(v));
+                    Py_DECREF(tmp);
+                    if (unlikely(!v)) return (int) -1;
+                }
+#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+                if (Py_SIZE(x) == 0)
+                    return (int) 0;
+                is_negative = Py_SIZE(x) < 0;
+#else
+                {
+                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                    if (unlikely(result < 0))
+                        return (int) -1;
+                    is_negative = result == 1;
+                }
+#endif
+                if (is_unsigned && unlikely(is_negative)) {
+                    goto raise_neg_overflow;
+                } else if (is_negative) {
+                    stepval = PyNumber_Invert(v);
+                    if (unlikely(!stepval))
+                        return (int) -1;
+                } else {
+                    stepval = __Pyx_NewRef(v);
+                }
+                val = (int) 0;
+                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
+                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
+                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
+                    PyObject *tmp, *digit;
+                    digit = PyNumber_And(stepval, mask);
+                    if (unlikely(!digit)) goto done;
+                    idigit = PyLong_AsLong(digit);
+                    Py_DECREF(digit);
+                    if (unlikely(idigit < 0)) goto done;
+                    tmp = PyNumber_Rshift(stepval, shift);
+                    if (unlikely(!tmp)) goto done;
+                    Py_DECREF(stepval); stepval = tmp;
+                    val |= ((int) idigit) << bits;
+                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+                    if (Py_SIZE(stepval) == 0)
+                        goto unpacking_done;
+                    #endif
+                }
+                idigit = PyLong_AsLong(stepval);
+                if (unlikely(idigit < 0)) goto done;
+                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
+                if (unlikely(idigit >= (1L << remaining_bits)))
+                    goto raise_overflow;
+                val |= ((int) idigit) << bits;
+            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+            unpacking_done:
+            #endif
+                if (!is_unsigned) {
+                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
+                        goto raise_overflow;
+                    if (is_negative)
+                        val = ~val;
+                }
+                ret = 0;
+            done:
+                Py_XDECREF(shift);
+                Py_XDECREF(mask);
+                Py_XDECREF(stepval);
+#endif
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+            return (int) -1;
+        }
+    } else {
+        int val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (int) -1;
+        val = __Pyx_PyInt_As_int(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to int");
+    return (int) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to int");
+    return (int) -1;
+}
+
+/* FormatTypeName */
+  #if CYTHON_COMPILING_IN_LIMITED_API
+static __Pyx_TypeName
+__Pyx_PyType_GetName(PyTypeObject* tp)
+{
+    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
+                                               __pyx_n_s_name);
+    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
+        PyErr_Clear();
+        Py_XDECREF(name);
+        name = __Pyx_NewRef(__pyx_n_s__14);
+    }
+    return name;
+}
+#endif
+
+/* CIntToPy */
+  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+    if (is_unsigned) {
+        if (sizeof(long) < sizeof(long)) {
+            return PyInt_FromLong((long) value);
+        } else if (sizeof(long) <= sizeof(unsigned long)) {
+            return PyLong_FromUnsignedLong((unsigned long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
+#endif
+        }
+    } else {
+        if (sizeof(long) <= sizeof(long)) {
+            return PyInt_FromLong((long) value);
+#ifdef HAVE_LONG_LONG
+        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
+            return PyLong_FromLongLong((PY_LONG_LONG) value);
+#endif
+        }
+    }
+    {
+        int one = 1; int little = (int)*(unsigned char *)&one;
+        unsigned char *bytes = (unsigned char *)&value;
+#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
+        return _PyLong_FromByteArray(bytes, sizeof(long),
+                                     little, !is_unsigned);
+#else
+        PyObject *from_bytes, *result = NULL;
+        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
+        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
+        if (!from_bytes) return NULL;
+        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
+        if (!py_bytes) goto limited_bad;
+        order_str = PyUnicode_FromString(little ? "little" : "big");
+        if (!order_str) goto limited_bad;
+        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
+        if (!arg_tuple) goto limited_bad;
+        if (!is_unsigned) {
+            kwds = PyDict_New();
+            if (!kwds) goto limited_bad;
+            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
+        }
+        result = PyObject_Call(from_bytes, arg_tuple, kwds);
+        limited_bad:
+        Py_XDECREF(kwds);
+        Py_XDECREF(arg_tuple);
+        Py_XDECREF(order_str);
+        Py_XDECREF(py_bytes);
+        Py_XDECREF(from_bytes);
+        return result;
+#endif
+    }
+}
+
+/* CIntFromPy */
+  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wconversion"
+#endif
+    const long neg_one = (long) -1, const_zero = (long) 0;
+#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
+#pragma GCC diagnostic pop
+#endif
+    const int is_unsigned = neg_one > const_zero;
+#if PY_MAJOR_VERSION < 3
+    if (likely(PyInt_Check(x))) {
+        if ((sizeof(long) < sizeof(long))) {
+            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
+        } else {
+            long val = PyInt_AS_LONG(x);
+            if (is_unsigned && unlikely(val < 0)) {
+                goto raise_neg_overflow;
+            }
+            return (long) val;
+        }
+    } else
+#endif
+    if (likely(PyLong_Check(x))) {
+        if (is_unsigned) {
+#if CYTHON_USE_PYLONG_INTERNALS
+            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
+                goto raise_neg_overflow;
+            } else if (__Pyx_PyLong_IsCompact(x)) {
+                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
+            } else {
+                const digit* digits = __Pyx_PyLong_Digits(x);
+                assert(__Pyx_PyLong_DigitCount(x) > 1);
+                switch (__Pyx_PyLong_DigitCount(x)) {
+                    case 2:
+                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
+                                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                            }
+                        }
+                        break;
+                    case 3:
+                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
+                                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                            }
+                        }
+                        break;
+                    case 4:
+                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
+                                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
+                            }
+                        }
+                        break;
+                }
+            }
+#endif
+#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
+            if (unlikely(Py_SIZE(x) < 0)) {
+                goto raise_neg_overflow;
+            }
+#else
+            {
+                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                if (unlikely(result < 0))
+                    return (long) -1;
+                if (unlikely(result == 1))
+                    goto raise_neg_overflow;
+            }
+#endif
+            if ((sizeof(long) <= sizeof(unsigned long))) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
+#endif
+            }
+        } else {
+#if CYTHON_USE_PYLONG_INTERNALS
+            if (__Pyx_PyLong_IsCompact(x)) {
+                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
+            } else {
+                const digit* digits = __Pyx_PyLong_Digits(x);
+                assert(__Pyx_PyLong_DigitCount(x) > 1);
+                switch (__Pyx_PyLong_SignedDigitCount(x)) {
+                    case -2:
+                        if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
+                                return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                    case 2:
+                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
+                                return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                    case -3:
+                        if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
+                                return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                    case 3:
+                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
+                                return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                    case -4:
+                        if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
+                                return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                    case 4:
+                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
+                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
+                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
+                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
+                                return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
+                            }
+                        }
+                        break;
+                }
+            }
+#endif
+            if ((sizeof(long) <= sizeof(long))) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
+#ifdef HAVE_LONG_LONG
+            } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
+                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
+#endif
+            }
+        }
+        {
+            long val;
+            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
+#if PY_MAJOR_VERSION < 3
+            if (likely(v) && !PyLong_Check(v)) {
+                PyObject *tmp = v;
+                v = PyNumber_Long(tmp);
+                Py_DECREF(tmp);
+            }
+#endif
+            if (likely(v)) {
+                int ret = -1;
+#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
+                int one = 1; int is_little = (int)*(unsigned char *)&one;
+                unsigned char *bytes = (unsigned char *)&val;
+                ret = _PyLong_AsByteArray((PyLongObject *)v,
+                                           bytes, sizeof(val),
+                                           is_little, !is_unsigned);
+#else
+                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
+                int bits, remaining_bits, is_negative = 0;
+                long idigit;
+                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
+                if (unlikely(!PyLong_CheckExact(v))) {
+                    PyObject *tmp = v;
+                    v = PyNumber_Long(v);
+                    assert(PyLong_CheckExact(v));
+                    Py_DECREF(tmp);
+                    if (unlikely(!v)) return (long) -1;
+                }
+#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+                if (Py_SIZE(x) == 0)
+                    return (long) 0;
+                is_negative = Py_SIZE(x) < 0;
+#else
+                {
+                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
+                    if (unlikely(result < 0))
+                        return (long) -1;
+                    is_negative = result == 1;
+                }
+#endif
+                if (is_unsigned && unlikely(is_negative)) {
+                    goto raise_neg_overflow;
+                } else if (is_negative) {
+                    stepval = PyNumber_Invert(v);
+                    if (unlikely(!stepval))
+                        return (long) -1;
+                } else {
+                    stepval = __Pyx_NewRef(v);
+                }
+                val = (long) 0;
+                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
+                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
+                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
+                    PyObject *tmp, *digit;
+                    digit = PyNumber_And(stepval, mask);
+                    if (unlikely(!digit)) goto done;
+                    idigit = PyLong_AsLong(digit);
+                    Py_DECREF(digit);
+                    if (unlikely(idigit < 0)) goto done;
+                    tmp = PyNumber_Rshift(stepval, shift);
+                    if (unlikely(!tmp)) goto done;
+                    Py_DECREF(stepval); stepval = tmp;
+                    val |= ((long) idigit) << bits;
+                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+                    if (Py_SIZE(stepval) == 0)
+                        goto unpacking_done;
+                    #endif
+                }
+                idigit = PyLong_AsLong(stepval);
+                if (unlikely(idigit < 0)) goto done;
+                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
+                if (unlikely(idigit >= (1L << remaining_bits)))
+                    goto raise_overflow;
+                val |= ((long) idigit) << bits;
+            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
+            unpacking_done:
+            #endif
+                if (!is_unsigned) {
+                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
+                        goto raise_overflow;
+                    if (is_negative)
+                        val = ~val;
+                }
+                ret = 0;
+            done:
+                Py_XDECREF(shift);
+                Py_XDECREF(mask);
+                Py_XDECREF(stepval);
+#endif
+                Py_DECREF(v);
+                if (likely(!ret))
+                    return val;
+            }
+            return (long) -1;
+        }
+    } else {
+        long val;
+        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
+        if (!tmp) return (long) -1;
+        val = __Pyx_PyInt_As_long(tmp);
+        Py_DECREF(tmp);
+        return val;
+    }
+raise_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "value too large to convert to long");
+    return (long) -1;
+raise_neg_overflow:
+    PyErr_SetString(PyExc_OverflowError,
+        "can't convert negative value to long");
+    return (long) -1;
+}
+
+/* FastTypeChecks */
+  #if CYTHON_COMPILING_IN_CPYTHON
+static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
+    while (a) {
+        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
+        if (a == b)
+            return 1;
+    }
+    return b == &PyBaseObject_Type;
+}
+static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (a == b) return 1;
+    mro = a->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(a, b);
+}
+static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
+    PyObject *mro;
+    if (cls == a || cls == b) return 1;
+    mro = cls->tp_mro;
+    if (likely(mro)) {
+        Py_ssize_t i, n;
+        n = PyTuple_GET_SIZE(mro);
+        for (i = 0; i < n; i++) {
+            PyObject *base = PyTuple_GET_ITEM(mro, i);
+            if (base == (PyObject *)a || base == (PyObject *)b)
+                return 1;
+        }
+        return 0;
+    }
+    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
+}
+#if PY_MAJOR_VERSION == 2
+static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
+    PyObject *exception, *value, *tb;
+    int res;
+    __Pyx_PyThreadState_declare
+    __Pyx_PyThreadState_assign
+    __Pyx_ErrFetch(&exception, &value, &tb);
+    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
+    if (unlikely(res == -1)) {
+        PyErr_WriteUnraisable(err);
+        res = 0;
+    }
+    if (!res) {
+        res = PyObject_IsSubclass(err, exc_type2);
+        if (unlikely(res == -1)) {
+            PyErr_WriteUnraisable(err);
+            res = 0;
+        }
+    }
+    __Pyx_ErrRestore(exception, value, tb);
+    return res;
+}
+#else
+static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
+    if (exc_type1) {
+        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
+    } else {
+        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
+    }
+}
+#endif
+static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
+    Py_ssize_t i, n;
+    assert(PyExceptionClass_Check(exc_type));
+    n = PyTuple_GET_SIZE(tuple);
+#if PY_MAJOR_VERSION >= 3
+    for (i=0; i<n; i++) {
+        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
+    }
+#endif
+    for (i=0; i<n; i++) {
+        PyObject *t = PyTuple_GET_ITEM(tuple, i);
+        #if PY_MAJOR_VERSION < 3
+        if (likely(exc_type == t)) return 1;
+        #endif
+        if (likely(PyExceptionClass_Check(t))) {
+            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
+        } else {
+        }
+    }
+    return 0;
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
+    if (likely(err == exc_type)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        if (likely(PyExceptionClass_Check(exc_type))) {
+            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
+        } else if (likely(PyTuple_Check(exc_type))) {
+            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
+        } else {
+        }
+    }
+    return PyErr_GivenExceptionMatches(err, exc_type);
+}
+static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
+    assert(PyExceptionClass_Check(exc_type1));
+    assert(PyExceptionClass_Check(exc_type2));
+    if (likely(err == exc_type1 || err == exc_type2)) return 1;
+    if (likely(PyExceptionClass_Check(err))) {
+        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
+    }
+    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
+}
+#endif
+
+/* CheckBinaryVersion */
+  static unsigned long __Pyx_get_runtime_version(void) {
+#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
+    return Py_Version & ~0xFFUL;
+#else
+    const char* rt_version = Py_GetVersion();
+    unsigned long version = 0;
+    unsigned long factor = 0x01000000UL;
+    unsigned int digit = 0;
+    int i = 0;
+    while (factor) {
+        while ('0' <= rt_version[i] && rt_version[i] <= '9') {
+            digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
+            ++i;
+        }
+        version += factor * digit;
+        if (rt_version[i] != '.')
+            break;
+        digit = 0;
+        factor >>= 8;
+        ++i;
+    }
+    return version;
+#endif
+}
+static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
+    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
+    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
+        return 0;
+    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
+        return 1;
+    {
+        char message[200];
+        PyOS_snprintf(message, sizeof(message),
+                      "compile time Python version %d.%d "
+                      "of module '%.100s' "
+                      "%s "
+                      "runtime version %d.%d",
+                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
+                       __Pyx_MODULE_NAME,
+                       (allow_newer) ? "was newer than" : "does not match",
+                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
+       );
+        return PyErr_WarnEx(NULL, message, 1);
+    }
+}
+
+/* InitStrings */
+  #if PY_MAJOR_VERSION >= 3
+static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
+    if (t.is_unicode | t.is_str) {
+        if (t.intern) {
+            *str = PyUnicode_InternFromString(t.s);
+        } else if (t.encoding) {
+            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
+        } else {
+            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
+        }
+    } else {
+        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
+    }
+    if (!*str)
+        return -1;
+    if (PyObject_Hash(*str) == -1)
+        return -1;
+    return 0;
+}
+#endif
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+    while (t->p) {
+        #if PY_MAJOR_VERSION >= 3
+        __Pyx_InitString(*t, t->p);
+        #else
+        if (t->is_unicode) {
+            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
+        } else if (t->intern) {
+            *t->p = PyString_InternFromString(t->s);
+        } else {
+            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+        }
+        if (!*t->p)
+            return -1;
+        if (PyObject_Hash(*t->p) == -1)
+            return -1;
+        #endif
+        ++t;
+    }
+    return 0;
+}
+
+#include <string.h>
+static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
+    size_t len = strlen(s);
+    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
+        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
+        return -1;
+    }
+    return (Py_ssize_t) len;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
+    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
+    if (unlikely(len < 0)) return NULL;
+    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
+}
+static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
+    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
+    if (unlikely(len < 0)) return NULL;
+    return PyByteArray_FromStringAndSize(c_str, len);
+}
+static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
+    Py_ssize_t ignore;
+    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
+}
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+#if !CYTHON_PEP393_ENABLED
+static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    char* defenc_c;
+    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
+    if (!defenc) return NULL;
+    defenc_c = PyBytes_AS_STRING(defenc);
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    {
+        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
+        char* c;
+        for (c = defenc_c; c < end; c++) {
+            if ((unsigned char) (*c) >= 128) {
+                PyUnicode_AsASCIIString(o);
+                return NULL;
+            }
+        }
+    }
+#endif
+    *length = PyBytes_GET_SIZE(defenc);
+    return defenc_c;
+}
+#else
+static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+    if (likely(PyUnicode_IS_ASCII(o))) {
+        *length = PyUnicode_GET_LENGTH(o);
+        return PyUnicode_AsUTF8(o);
+    } else {
+        PyUnicode_AsASCIIString(o);
+        return NULL;
+    }
+#else
+    return PyUnicode_AsUTF8AndSize(o, length);
+#endif
+}
+#endif
+#endif
+static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
+#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+    if (
+#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
+            __Pyx_sys_getdefaultencoding_not_ascii &&
+#endif
+            PyUnicode_Check(o)) {
+        return __Pyx_PyUnicode_AsStringAndSize(o, length);
+    } else
+#endif
+#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
+    if (PyByteArray_Check(o)) {
+        *length = PyByteArray_GET_SIZE(o);
+        return PyByteArray_AS_STRING(o);
+    } else
+#endif
+    {
+        char* result;
+        int r = PyBytes_AsStringAndSize(o, &result, length);
+        if (unlikely(r < 0)) {
+            return NULL;
+        } else {
+            return result;
+        }
+    }
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   int is_true = x == Py_True;
+   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
+   else return PyObject_IsTrue(x);
+}
+static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
+    int retval;
+    if (unlikely(!x)) return -1;
+    retval = __Pyx_PyObject_IsTrue(x);
+    Py_DECREF(x);
+    return retval;
+}
+static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
+    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
+#if PY_MAJOR_VERSION >= 3
+    if (PyLong_Check(result)) {
+        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
+                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
+                "The ability to return an instance of a strict subclass of int is deprecated, "
+                "and may be removed in a future version of Python.",
+                result_type_name)) {
+            __Pyx_DECREF_TypeName(result_type_name);
+            Py_DECREF(result);
+            return NULL;
+        }
+        __Pyx_DECREF_TypeName(result_type_name);
+        return result;
+    }
+#endif
+    PyErr_Format(PyExc_TypeError,
+                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
+                 type_name, type_name, result_type_name);
+    __Pyx_DECREF_TypeName(result_type_name);
+    Py_DECREF(result);
+    return NULL;
+}
+static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
+#if CYTHON_USE_TYPE_SLOTS
+  PyNumberMethods *m;
+#endif
+  const char *name = NULL;
+  PyObject *res = NULL;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_Check(x) || PyLong_Check(x)))
+#else
+  if (likely(PyLong_Check(x)))
+#endif
+    return __Pyx_NewRef(x);
+#if CYTHON_USE_TYPE_SLOTS
+  m = Py_TYPE(x)->tp_as_number;
+  #if PY_MAJOR_VERSION < 3
+  if (m && m->nb_int) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  else if (m && m->nb_long) {
+    name = "long";
+    res = m->nb_long(x);
+  }
+  #else
+  if (likely(m && m->nb_int)) {
+    name = "int";
+    res = m->nb_int(x);
+  }
+  #endif
+#else
+  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
+    res = PyNumber_Int(x);
+  }
+#endif
+  if (likely(res)) {
+#if PY_MAJOR_VERSION < 3
+    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
+#else
+    if (unlikely(!PyLong_CheckExact(res))) {
+#endif
+        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
+    }
+  }
+  else if (!PyErr_Occurred()) {
+    PyErr_SetString(PyExc_TypeError,
+                    "an integer is required");
+  }
+  return res;
+}
+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
+  Py_ssize_t ival;
+  PyObject *x;
+#if PY_MAJOR_VERSION < 3
+  if (likely(PyInt_CheckExact(b))) {
+    if (sizeof(Py_ssize_t) >= sizeof(long))
+        return PyInt_AS_LONG(b);
+    else
+        return PyInt_AsSsize_t(b);
+  }
+#endif
+  if (likely(PyLong_CheckExact(b))) {
+    #if CYTHON_USE_PYLONG_INTERNALS
+    if (likely(__Pyx_PyLong_IsCompact(b))) {
+        return __Pyx_PyLong_CompactValue(b);
+    } else {
+      const digit* digits = __Pyx_PyLong_Digits(b);
+      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
+      switch (size) {
+         case 2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -2:
+           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -3:
+           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case 4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+         case -4:
+           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
+             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
+           }
+           break;
+      }
+    }
+    #endif
+    return PyLong_AsSsize_t(b);
+  }
+  x = PyNumber_Index(b);
+  if (!x) return -1;
+  ival = PyInt_AsSsize_t(x);
+  Py_DECREF(x);
+  return ival;
+}
+static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
+  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
+    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
+#if PY_MAJOR_VERSION < 3
+  } else if (likely(PyInt_CheckExact(o))) {
+    return PyInt_AS_LONG(o);
+#endif
+  } else {
+    Py_ssize_t ival;
+    PyObject *x;
+    x = PyNumber_Index(o);
+    if (!x) return -1;
+    ival = PyInt_AsLong(x);
+    Py_DECREF(x);
+    return ival;
+  }
+}
+static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
+  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
+}
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
+    return PyInt_FromSize_t(ival);
+}
+
+
+/* #### Code section: utility_code_pragmas_end ### */
+#ifdef _MSC_VER
+#pragma warning( pop )
+#endif
+
+
+
+/* #### Code section: end ### */
+#endif /* Py_PYTHON_H */
diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpython-39-x86_64-linux-gnu.so b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpython-39-x86_64-linux-gnu.so
new file mode 100644
index 0000000000000000000000000000000000000000..3f497f4d1de18463e54530b05f80451b1fcbeaeb
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.cpython-39-x86_64-linux-gnu.so
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b06b34b9d5d5bacf35a5703ec02ac471956453596cf2041fb5f0ba21528ef7f6
+size 128240
diff --git a/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx
new file mode 100644
index 0000000000000000000000000000000000000000..40f589a9b6ddfe5d42d62c242348380c0fe2242a
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/mesh_core_cython.pyx
@@ -0,0 +1,109 @@
+import numpy as np
+cimport numpy as np
+from libcpp.string cimport string
+
+# use the Numpy-C-API from Cython
+np.import_array()
+
+# cdefine the signature of our c function
+cdef extern from "mesh_core.h":
+    void _rasterize_triangles_core(
+        float* vertices, int* triangles, 
+        float* depth_buffer, int* triangle_buffer, float* barycentric_weight,
+        int nver, int ntri,
+        int h, int w)
+
+    void _render_colors_core(
+        float* image, float* vertices, int* triangles, 
+        float* colors, 
+        float* depth_buffer,
+        int nver, int ntri,
+        int h, int w, int c)
+
+    void _render_texture_core(
+        float* image, float* vertices, int* triangles, 
+        float* texture, float* tex_coords, int* tex_triangles, 
+        float* depth_buffer,
+        int nver, int tex_nver, int ntri, 
+        int h, int w, int c, 
+        int tex_h, int tex_w, int tex_c, 
+        int mapping_type)
+
+    void _get_normal_core(
+        float* normal, float* tri_normal, int* triangles,
+        int ntri)
+
+    void _write_obj_with_colors_texture(string filename, string mtl_name, 
+        float* vertices, int* triangles, float* colors, float* uv_coords,
+        int nver, int ntri, int ntexver)
+
+def get_normal_core(np.ndarray[float, ndim=2, mode = "c"] normal not None, 
+                np.ndarray[float, ndim=2, mode = "c"] tri_normal not None, 
+                np.ndarray[int, ndim=2, mode="c"] triangles not None, 
+                int ntri
+                ):
+    _get_normal_core(
+        <float*> np.PyArray_DATA(normal), <float*> np.PyArray_DATA(tri_normal), <int*> np.PyArray_DATA(triangles),  
+        ntri)
+
+def rasterize_triangles_core(
+                np.ndarray[float, ndim=2, mode = "c"] vertices not None, 
+                np.ndarray[int, ndim=2, mode="c"] triangles not None, 
+                np.ndarray[float, ndim=2, mode = "c"] depth_buffer not None,
+                np.ndarray[int, ndim=2, mode = "c"] triangle_buffer not None,
+                np.ndarray[float, ndim=2, mode = "c"] barycentric_weight not None,
+                int nver, int ntri,
+                int h, int w
+                ):   
+    _rasterize_triangles_core(
+        <float*> np.PyArray_DATA(vertices), <int*> np.PyArray_DATA(triangles),  
+        <float*> np.PyArray_DATA(depth_buffer), <int*> np.PyArray_DATA(triangle_buffer), <float*> np.PyArray_DATA(barycentric_weight),
+        nver, ntri,
+        h, w)
+
+def render_colors_core(np.ndarray[float, ndim=3, mode = "c"] image not None, 
+                np.ndarray[float, ndim=2, mode = "c"] vertices not None, 
+                np.ndarray[int, ndim=2, mode="c"] triangles not None, 
+                np.ndarray[float, ndim=2, mode = "c"] colors not None, 
+                np.ndarray[float, ndim=2, mode = "c"] depth_buffer not None,
+                int nver, int ntri,
+                int h, int w, int c
+                ):   
+    _render_colors_core(
+        <float*> np.PyArray_DATA(image), <float*> np.PyArray_DATA(vertices), <int*> np.PyArray_DATA(triangles),  
+        <float*> np.PyArray_DATA(colors), 
+        <float*> np.PyArray_DATA(depth_buffer),
+        nver, ntri,
+        h, w, c)
+
+def render_texture_core(np.ndarray[float, ndim=3, mode = "c"] image not None, 
+                np.ndarray[float, ndim=2, mode = "c"] vertices not None, 
+                np.ndarray[int, ndim=2, mode="c"] triangles not None, 
+                np.ndarray[float, ndim=3, mode = "c"] texture not None, 
+                np.ndarray[float, ndim=2, mode = "c"] tex_coords not None, 
+                np.ndarray[int, ndim=2, mode="c"] tex_triangles not None, 
+                np.ndarray[float, ndim=2, mode = "c"] depth_buffer not None,
+                int nver, int tex_nver, int ntri,
+                int h, int w, int c,
+                int tex_h, int tex_w, int tex_c,
+                int mapping_type
+                ):   
+    _render_texture_core(
+        <float*> np.PyArray_DATA(image), <float*> np.PyArray_DATA(vertices), <int*> np.PyArray_DATA(triangles),  
+        <float*> np.PyArray_DATA(texture), <float*> np.PyArray_DATA(tex_coords), <int*> np.PyArray_DATA(tex_triangles),  
+        <float*> np.PyArray_DATA(depth_buffer),
+        nver, tex_nver, ntri,
+        h, w, c, 
+        tex_h, tex_w, tex_c, 
+        mapping_type)
+
+def write_obj_with_colors_texture_core(string filename, string mtl_name, 
+                np.ndarray[float, ndim=2, mode = "c"] vertices not None, 
+                np.ndarray[int, ndim=2, mode="c"] triangles not None, 
+                np.ndarray[float, ndim=2, mode = "c"] colors not None, 
+                np.ndarray[float, ndim=2, mode = "c"] uv_coords not None, 
+                int nver, int ntri, int ntexver
+                ):
+    _write_obj_with_colors_texture(filename, mtl_name, 
+        <float*> np.PyArray_DATA(vertices), <int*> np.PyArray_DATA(triangles), <float*> np.PyArray_DATA(colors), <float*> np.PyArray_DATA(uv_coords),
+        nver, ntri, ntexver)
diff --git a/insightface/thirdparty/face3d/mesh/cython/setup.py b/insightface/thirdparty/face3d/mesh/cython/setup.py
new file mode 100644
index 0000000000000000000000000000000000000000..fc1ede1e777b369b1bbd9c94f6fa85ce037de3f9
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/cython/setup.py
@@ -0,0 +1,20 @@
+'''
+python setup.py build_ext -i
+to compile
+'''
+
+# setup.py
+from distutils.core import setup, Extension
+from Cython.Build import cythonize
+from Cython.Distutils import build_ext
+import numpy
+
+setup(
+	name = 'mesh_core_cython',
+    cmdclass={'build_ext': build_ext},
+    ext_modules=[Extension("mesh_core_cython",
+                 sources=["mesh_core_cython.pyx", "mesh_core.cpp"],
+                 language='c++',
+                 include_dirs=[numpy.get_include()])],
+)
+
diff --git a/insightface/thirdparty/face3d/mesh/io.py b/insightface/thirdparty/face3d/mesh/io.py
new file mode 100644
index 0000000000000000000000000000000000000000..4bb146012ecd8f78b7485153bafab00af092fe16
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/io.py
@@ -0,0 +1,142 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import os
+from skimage import io
+from time import time
+
+from .cython import mesh_core_cython
+
+## TODO
+## TODO: c++ version
+def read_obj(obj_name):
+	''' read mesh
+	'''
+	return 0
+
+# ------------------------- write
+def write_asc(path, vertices):
+    '''
+    Args:
+        vertices: shape = (nver, 3)
+    '''
+    if path.split('.')[-1] == 'asc':
+        np.savetxt(path, vertices)
+    else:
+        np.savetxt(path + '.asc', vertices)
+
+def write_obj_with_colors(obj_name, vertices, triangles, colors):
+    ''' Save 3D face model with texture represented by colors.
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        colors: shape = (nver, 3)
+    '''
+    triangles = triangles.copy()
+    triangles += 1 # meshlab start with 1
+    
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+        
+    # write obj
+    with open(obj_name, 'w') as f:
+        
+        # write vertices & colors
+        for i in range(vertices.shape[0]):
+            # s = 'v {} {} {} \n'.format(vertices[0,i], vertices[1,i], vertices[2,i])
+            s = 'v {} {} {} {} {} {}\n'.format(vertices[i, 0], vertices[i, 1], vertices[i, 2], colors[i, 0], colors[i, 1], colors[i, 2])
+            f.write(s)
+
+        # write f: ver ind/ uv ind
+        [k, ntri] = triangles.shape
+        for i in range(triangles.shape[0]):
+            # s = 'f {} {} {}\n'.format(triangles[i, 0], triangles[i, 1], triangles[i, 2])
+            s = 'f {} {} {}\n'.format(triangles[i, 2], triangles[i, 1], triangles[i, 0])
+            f.write(s)
+
+## TODO: c++ version
+def write_obj_with_texture(obj_name, vertices, triangles, texture, uv_coords):
+    ''' Save 3D face model with texture represented by texture map.
+    Ref: https://github.com/patrikhuber/eos/blob/bd00155ebae4b1a13b08bf5a991694d682abbada/include/eos/core/Mesh.hpp
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        texture: shape = (256,256,3)
+        uv_coords: shape = (nver, 3) max value<=1
+    '''
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+    mtl_name = obj_name.replace('.obj', '.mtl')
+    texture_name = obj_name.replace('.obj', '_texture.png')
+    
+    triangles = triangles.copy()
+    triangles += 1 # mesh lab start with 1
+    
+    # write obj
+    with open(obj_name, 'w') as f:
+        # first line: write mtlib(material library)
+        s = "mtllib {}\n".format(os.path.abspath(mtl_name))
+        f.write(s)
+
+        # write vertices
+        for i in range(vertices.shape[0]):
+            s = 'v {} {} {}\n'.format(vertices[i, 0], vertices[i, 1], vertices[i, 2])
+            f.write(s)
+        
+        # write uv coords
+        for i in range(uv_coords.shape[0]):
+            s = 'vt {} {}\n'.format(uv_coords[i,0], 1 - uv_coords[i,1])
+            f.write(s)
+
+        f.write("usemtl FaceTexture\n")
+
+        # write f: ver ind/ uv ind
+        for i in range(triangles.shape[0]):
+            s = 'f {}/{} {}/{} {}/{}\n'.format(triangles[i,2], triangles[i,2], triangles[i,1], triangles[i,1], triangles[i,0], triangles[i,0])
+            f.write(s)
+
+    # write mtl
+    with open(mtl_name, 'w') as f:
+        f.write("newmtl FaceTexture\n")
+        s = 'map_Kd {}\n'.format(os.path.abspath(texture_name)) # map to image
+        f.write(s)
+
+    # write texture as png
+    imsave(texture_name, texture)
+
+# c++ version
+def write_obj_with_colors_texture(obj_name, vertices, triangles, colors, texture, uv_coords):
+    ''' Save 3D face model with texture. 
+    Ref: https://github.com/patrikhuber/eos/blob/bd00155ebae4b1a13b08bf5a991694d682abbada/include/eos/core/Mesh.hpp
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        colors: shape = (nver, 3)
+        texture: shape = (256,256,3)
+        uv_coords: shape = (nver, 3) max value<=1
+    '''
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+    mtl_name = obj_name.replace('.obj', '.mtl')
+    texture_name = obj_name.replace('.obj', '_texture.png')
+    
+    triangles = triangles.copy()
+    triangles += 1 # mesh lab start with 1
+    
+    # write obj
+    vertices, colors, uv_coords = vertices.astype(np.float32).copy(), colors.astype(np.float32).copy(), uv_coords.astype(np.float32).copy()
+    mesh_core_cython.write_obj_with_colors_texture_core(str.encode(obj_name), str.encode(os.path.abspath(mtl_name)), vertices, triangles, colors, uv_coords, vertices.shape[0], triangles.shape[0], uv_coords.shape[0])
+   
+    # write mtl
+    with open(mtl_name, 'w') as f:
+        f.write("newmtl FaceTexture\n")
+        s = 'map_Kd {}\n'.format(os.path.abspath(texture_name)) # map to image
+        f.write(s)
+
+    # write texture as png
+    io.imsave(texture_name, texture)
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh/light.py b/insightface/thirdparty/face3d/mesh/light.py
new file mode 100644
index 0000000000000000000000000000000000000000..5f0da63ed8ec6bbe8a12600e8d0f50cd75860129
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/light.py
@@ -0,0 +1,213 @@
+'''
+Functions about lighting mesh(changing colors/texture of mesh).
+1. add light to colors/texture (shade each vertex)
+2. fit light according to colors/texture & image.
+'''
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+from .cython import mesh_core_cython
+
+def get_normal(vertices, triangles):
+    ''' calculate normal direction in each vertex
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+    Returns:
+        normal: [nver, 3]
+    '''
+    pt0 = vertices[triangles[:, 0], :] # [ntri, 3]
+    pt1 = vertices[triangles[:, 1], :] # [ntri, 3]
+    pt2 = vertices[triangles[:, 2], :] # [ntri, 3]
+    tri_normal = np.cross(pt0 - pt1, pt0 - pt2) # [ntri, 3]. normal of each triangle
+
+    normal = np.zeros_like(vertices, dtype = np.float32).copy() # [nver, 3]
+    # for i in range(triangles.shape[0]):
+    #     normal[triangles[i, 0], :] = normal[triangles[i, 0], :] + tri_normal[i, :]
+    #     normal[triangles[i, 1], :] = normal[triangles[i, 1], :] + tri_normal[i, :]
+    #     normal[triangles[i, 2], :] = normal[triangles[i, 2], :] + tri_normal[i, :]
+    mesh_core_cython.get_normal_core(normal, tri_normal.astype(np.float32).copy(), triangles.copy(), triangles.shape[0])
+
+    # normalize to unit length
+    mag = np.sum(normal**2, 1) # [nver]
+    zero_ind = (mag == 0)
+    mag[zero_ind] = 1;
+    normal[zero_ind, 0] = np.ones((np.sum(zero_ind)))
+
+    normal = normal/np.sqrt(mag[:,np.newaxis])
+
+    return normal
+
+# TODO: test
+def add_light_sh(vertices, triangles, colors, sh_coeff):
+    ''' 
+    In 3d face, usually assume:
+    1. The surface of face is Lambertian(reflect only the low frequencies of lighting)
+    2. Lighting can be an arbitrary combination of point sources
+    --> can be expressed in terms of spherical harmonics(omit the lighting coefficients)
+    I = albedo * (sh(n) x sh_coeff)
+    
+    albedo: n x 1
+    sh_coeff: 9 x 1
+    Y(n) = (1, n_x, n_y, n_z, n_xn_y, n_xn_z, n_yn_z, n_x^2 - n_y^2, 3n_z^2 - 1)': n x 9 
+    # Y(n) = (1, n_x, n_y, n_z)': n x 4
+
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        colors: [nver, 3] albedo
+        sh_coeff: [9, 1] spherical harmonics coefficients
+
+    Returns:
+        lit_colors: [nver, 3]
+    '''
+    assert vertices.shape[0] == colors.shape[0]
+    nver = vertices.shape[0]
+    normal = get_normal(vertices, triangles) # [nver, 3]
+    sh = np.array((np.ones(nver), n[:,0], n[:,1], n[:,2], n[:,0]*n[:,1], n[:,0]*n[:,2], n[:,1]*n[:,2], n[:,0]**2 - n[:,1]**2, 3*(n[:,2]**2) - 1)) # [nver, 9]
+    ref = sh.dot(sh_coeff) #[nver, 1]
+    lit_colors = colors*ref
+    return lit_colors
+
+
+def add_light(vertices, triangles, colors, light_positions = 0, light_intensities = 0):
+    ''' Gouraud shading. add point lights.
+    In 3d face, usually assume:
+    1. The surface of face is Lambertian(reflect only the low frequencies of lighting)
+    2. Lighting can be an arbitrary combination of point sources
+    3. No specular (unless skin is oil, 23333)
+
+    Ref: https://cs184.eecs.berkeley.edu/lecture/pipeline    
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        light_positions: [nlight, 3] 
+        light_intensities: [nlight, 3]
+    Returns:
+        lit_colors: [nver, 3]
+    '''
+    nver = vertices.shape[0]
+    normals = get_normal(vertices, triangles) # [nver, 3]
+
+    # ambient
+    # La = ka*Ia
+
+    # diffuse
+    # Ld = kd*(I/r^2)max(0, nxl)
+    direction_to_lights = vertices[np.newaxis, :, :] - light_positions[:, np.newaxis, :] # [nlight, nver, 3]
+    direction_to_lights_n = np.sqrt(np.sum(direction_to_lights**2, axis = 2)) # [nlight, nver]
+    direction_to_lights = direction_to_lights/direction_to_lights_n[:, :, np.newaxis]
+    normals_dot_lights = normals[np.newaxis, :, :]*direction_to_lights # [nlight, nver, 3]
+    normals_dot_lights = np.sum(normals_dot_lights, axis = 2) # [nlight, nver]
+    diffuse_output = colors[np.newaxis, :, :]*normals_dot_lights[:, :, np.newaxis]*light_intensities[:, np.newaxis, :]
+    diffuse_output = np.sum(diffuse_output, axis = 0) # [nver, 3]
+    
+    # specular
+    # h = (v + l)/(|v + l|) bisector
+    # Ls = ks*(I/r^2)max(0, nxh)^p
+    # increasing p narrows the reflectionlob
+
+    lit_colors = diffuse_output # only diffuse part here.
+    lit_colors = np.minimum(np.maximum(lit_colors, 0), 1)
+    return lit_colors
+
+
+
+## TODO. estimate light(sh coeff)
+## -------------------------------- estimate. can not use now. 
+def fit_light(image, vertices, colors, triangles, vis_ind, lamb = 10, max_iter = 3):
+    [h, w, c] = image.shape
+
+    # surface normal
+    norm = get_normal(vertices, triangles)
+    
+    nver = vertices.shape[1]
+
+    # vertices --> corresponding image pixel
+    pt2d = vertices[:2, :]
+
+    pt2d[0,:] = np.minimum(np.maximum(pt2d[0,:], 0), w - 1)
+    pt2d[1,:] = np.minimum(np.maximum(pt2d[1,:], 0), h - 1)
+    pt2d = np.round(pt2d).astype(np.int32) # 2 x nver
+
+    image_pixel = image[pt2d[1,:], pt2d[0,:], :] # nver x 3
+    image_pixel = image_pixel.T # 3 x nver
+
+    # vertices --> corresponding mean texture pixel with illumination
+    # Spherical Harmonic Basis
+    harmonic_dim = 9
+    nx = norm[0,:];
+    ny = norm[1,:];
+    nz = norm[2,:];
+    harmonic = np.zeros((nver, harmonic_dim))
+
+    pi = np.pi
+    harmonic[:,0] = np.sqrt(1/(4*pi)) * np.ones((nver,));
+    harmonic[:,1] = np.sqrt(3/(4*pi)) * nx;
+    harmonic[:,2] = np.sqrt(3/(4*pi)) * ny;
+    harmonic[:,3] = np.sqrt(3/(4*pi)) * nz;
+    harmonic[:,4] = 1/2. * np.sqrt(3/(4*pi)) * (2*nz**2 - nx**2 - ny**2);
+    harmonic[:,5] = 3 * np.sqrt(5/(12*pi)) * (ny*nz);
+    harmonic[:,6] = 3 * np.sqrt(5/(12*pi)) * (nx*nz);
+    harmonic[:,7] = 3 * np.sqrt(5/(12*pi)) * (nx*ny);
+    harmonic[:,8] = 3/2. * np.sqrt(5/(12*pi)) * (nx*nx - ny*ny);
+    
+    '''
+    I' = sum(albedo * lj * hj) j = 0:9 (albedo = tex)
+    set A = albedo*h (n x 9)
+        alpha = lj (9 x 1)
+        Y = I (n x 1)
+        Y' = A.dot(alpha)
+
+    opt function:
+        ||Y - A*alpha|| + lambda*(alpha'*alpha)
+    result:
+        A'*(Y - A*alpha) + lambda*alpha = 0
+        ==>
+        (A'*A*alpha - lambda)*alpha = A'*Y
+        left: 9 x 9
+        right: 9 x 1
+    '''
+    n_vis_ind = len(vis_ind)
+    n = n_vis_ind*c
+
+    Y = np.zeros((n, 1))
+    A = np.zeros((n, 9))
+    light = np.zeros((3, 1))
+
+    for k in range(c):
+        Y[k*n_vis_ind:(k+1)*n_vis_ind, :] = image_pixel[k, vis_ind][:, np.newaxis]
+        A[k*n_vis_ind:(k+1)*n_vis_ind, :] = texture[k, vis_ind][:, np.newaxis] * harmonic[vis_ind, :]
+        Ac = texture[k, vis_ind][:, np.newaxis]
+        Yc = image_pixel[k, vis_ind][:, np.newaxis]
+        light[k] = (Ac.T.dot(Yc))/(Ac.T.dot(Ac))
+
+    for i in range(max_iter):
+
+        Yc = Y.copy()
+        for k in range(c):
+            Yc[k*n_vis_ind:(k+1)*n_vis_ind, :]  /= light[k]
+
+        # update alpha
+        equation_left = np.dot(A.T, A) + lamb*np.eye(harmonic_dim); # why + ?
+        equation_right = np.dot(A.T, Yc) 
+        alpha = np.dot(np.linalg.inv(equation_left), equation_right)
+
+        # update light
+        for k in range(c):
+            Ac = A[k*n_vis_ind:(k+1)*n_vis_ind, :].dot(alpha)
+            Yc = Y[k*n_vis_ind:(k+1)*n_vis_ind, :]
+            light[k] = (Ac.T.dot(Yc))/(Ac.T.dot(Ac))
+
+    appearance = np.zeros_like(texture)
+    for k in range(c):
+        tmp = np.dot(harmonic*texture[k, :][:, np.newaxis], alpha*light[k])
+        appearance[k,:] = tmp.T
+
+    appearance = np.minimum(np.maximum(appearance, 0), 1)
+
+    return appearance
+
diff --git a/insightface/thirdparty/face3d/mesh/render.py b/insightface/thirdparty/face3d/mesh/render.py
new file mode 100644
index 0000000000000000000000000000000000000000..19957222e7fd3841cf11cc3bdd06630f28509381
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/render.py
@@ -0,0 +1,135 @@
+'''
+functions about rendering mesh(from 3d obj to 2d image).
+only use rasterization render here.
+Note that:
+1. Generally, render func includes camera, light, raterize. Here no camera and light(I write these in other files)
+2. Generally, the input vertices are normalized to [-1,1] and cetered on [0, 0]. (in world space)
+   Here, the vertices are using image coords, which centers on [w/2, h/2] with the y-axis pointing to oppisite direction.
+ Means: render here only conducts interpolation.(I just want to make the input flexible)
+
+Author: Yao Feng 
+Mail: yaofeng1995@gmail.com
+'''
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+from time import time
+
+from .cython import mesh_core_cython
+
+def rasterize_triangles(vertices, triangles, h, w):
+    ''' 
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        h: height
+        w: width
+    Returns:
+        depth_buffer: [h, w] saves the depth, here, the bigger the z, the fronter the point.
+        triangle_buffer: [h, w] saves the tri id(-1 for no triangle). 
+        barycentric_weight: [h, w, 3] saves corresponding barycentric weight.
+
+    # Each triangle has 3 vertices & Each vertex has 3 coordinates x, y, z.
+    # h, w is the size of rendering
+    '''
+
+    # initial 
+    depth_buffer = np.zeros([h, w]) - 999999. #set the initial z to the farest position
+    triangle_buffer = np.zeros([h, w], dtype = np.int32) - 1  # if tri id = -1, the pixel has no triangle correspondance
+    barycentric_weight = np.zeros([h, w, 3], dtype = np.float32)  # 
+    
+    vertices = vertices.astype(np.float32).copy()
+    triangles = triangles.astype(np.int32).copy()
+
+    mesh_core_cython.rasterize_triangles_core(
+                vertices, triangles,
+                depth_buffer, triangle_buffer, barycentric_weight, 
+                vertices.shape[0], triangles.shape[0], 
+                h, w)
+
+def render_colors(vertices, triangles, colors, h, w, c = 3, BG = None):
+    ''' render mesh with colors
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3] 
+        colors: [nver, 3]
+        h: height
+        w: width  
+        c: channel
+        BG: background image
+    Returns:
+        image: [h, w, c]. rendered image./rendering.
+    '''
+
+    # initial 
+    if BG is None:
+        image = np.zeros((h, w, c), dtype = np.float32)
+    else:
+        assert BG.shape[0] == h and BG.shape[1] == w and BG.shape[2] == c
+        image = BG
+    depth_buffer = np.zeros([h, w], dtype = np.float32, order = 'C') - 999999.
+
+    # change orders. --> C-contiguous order(column major)
+    vertices = vertices.astype(np.float32).copy()
+    triangles = triangles.astype(np.int32).copy()
+    colors = colors.astype(np.float32).copy()
+    ###
+    st = time()
+    mesh_core_cython.render_colors_core(
+                image, vertices, triangles,
+                colors,
+                depth_buffer,
+                vertices.shape[0], triangles.shape[0], 
+                h, w, c)
+    return image
+
+
+def render_texture(vertices, triangles, texture, tex_coords, tex_triangles, h, w, c = 3, mapping_type = 'nearest', BG = None):
+    ''' render mesh with texture map
+    Args:
+        vertices: [3, nver]
+        triangles: [3, ntri]
+        texture: [tex_h, tex_w, 3]
+        tex_coords: [ntexcoords, 3]
+        tex_triangles: [ntri, 3]
+        h: height of rendering
+        w: width of rendering
+        c: channel
+        mapping_type: 'bilinear' or 'nearest'
+    '''
+    # initial 
+    if BG is None:
+        image = np.zeros((h, w, c), dtype = np.float32)
+    else:
+        assert BG.shape[0] == h and BG.shape[1] == w and BG.shape[2] == c
+        image = BG
+
+    depth_buffer = np.zeros([h, w], dtype = np.float32, order = 'C') - 999999.
+    
+    tex_h, tex_w, tex_c = texture.shape
+    if mapping_type == 'nearest':
+        mt = int(0)
+    elif mapping_type == 'bilinear':
+        mt = int(1)
+    else:
+        mt = int(0)
+    
+    # -> C order
+    vertices = vertices.astype(np.float32).copy()
+    triangles = triangles.astype(np.int32).copy()
+    texture = texture.astype(np.float32).copy()
+    tex_coords = tex_coords.astype(np.float32).copy()
+    tex_triangles = tex_triangles.astype(np.int32).copy()
+
+    mesh_core_cython.render_texture_core(
+                image, vertices, triangles,
+                texture, tex_coords, tex_triangles,
+                depth_buffer,
+                vertices.shape[0], tex_coords.shape[0], triangles.shape[0], 
+                h, w, c,
+                tex_h, tex_w, tex_c,
+                mt)
+    return image
+
diff --git a/insightface/thirdparty/face3d/mesh/transform.py b/insightface/thirdparty/face3d/mesh/transform.py
new file mode 100644
index 0000000000000000000000000000000000000000..d91b09fae2bcead1ae2f29d8d43831e556494a2f
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/transform.py
@@ -0,0 +1,383 @@
+'''
+Functions about transforming mesh(changing the position: modify vertices).
+1. forward: transform(transform, camera, project).
+2. backward: estimate transform matrix from correspondences.
+
+Author: Yao Feng 
+Mail: yaofeng1995@gmail.com
+'''
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import math
+from math import cos, sin
+
+def angle2matrix(angles):
+    ''' get rotation matrix from three rotation angles(degree). right-handed.
+    Args:
+        angles: [3,]. x, y, z angles
+        x: pitch. positive for looking down.
+        y: yaw. positive for looking left. 
+        z: roll. positive for tilting head right. 
+    Returns:
+        R: [3, 3]. rotation matrix.
+    '''
+    x, y, z = np.deg2rad(angles[0]), np.deg2rad(angles[1]), np.deg2rad(angles[2])
+    # x
+    Rx=np.array([[1,      0,       0],
+                 [0, cos(x),  -sin(x)],
+                 [0, sin(x),   cos(x)]])
+    # y
+    Ry=np.array([[ cos(y), 0, sin(y)],
+                 [      0, 1,      0],
+                 [-sin(y), 0, cos(y)]])
+    # z
+    Rz=np.array([[cos(z), -sin(z), 0],
+                 [sin(z),  cos(z), 0],
+                 [     0,       0, 1]])
+    
+    R=Rz.dot(Ry.dot(Rx))
+    return R.astype(np.float32)
+
+def angle2matrix_3ddfa(angles):
+    ''' get rotation matrix from three rotation angles(radian). The same as in 3DDFA.
+    Args:
+        angles: [3,]. x, y, z angles
+        x: pitch.
+        y: yaw. 
+        z: roll. 
+    Returns:
+        R: 3x3. rotation matrix.
+    '''
+    # x, y, z = np.deg2rad(angles[0]), np.deg2rad(angles[1]), np.deg2rad(angles[2])
+    x, y, z = angles[0], angles[1], angles[2]
+    
+    # x
+    Rx=np.array([[1,      0,       0],
+                 [0, cos(x),  sin(x)],
+                 [0, -sin(x),   cos(x)]])
+    # y
+    Ry=np.array([[ cos(y), 0, -sin(y)],
+                 [      0, 1,      0],
+                 [sin(y), 0, cos(y)]])
+    # z
+    Rz=np.array([[cos(z), sin(z), 0],
+                 [-sin(z),  cos(z), 0],
+                 [     0,       0, 1]])
+    R = Rx.dot(Ry).dot(Rz)
+    return R.astype(np.float32)
+
+
+## ------------------------------------------ 1. transform(transform, project, camera).
+## ---------- 3d-3d transform. Transform obj in world space
+def rotate(vertices, angles):
+    ''' rotate vertices. 
+    X_new = R.dot(X). X: 3 x 1   
+    Args:
+        vertices: [nver, 3]. 
+        rx, ry, rz: degree angles
+        rx: pitch. positive for looking down 
+        ry: yaw. positive for looking left
+        rz: roll. positive for tilting head right
+    Returns:
+        rotated vertices: [nver, 3]
+    '''
+    R = angle2matrix(angles)
+    rotated_vertices = vertices.dot(R.T)
+
+    return rotated_vertices
+
+def similarity_transform(vertices, s, R, t3d):
+    ''' similarity transform. dof = 7.
+    3D: s*R.dot(X) + t
+    Homo: M = [[sR, t],[0^T, 1]].  M.dot(X)
+    Args:(float32)
+        vertices: [nver, 3]. 
+        s: [1,]. scale factor.
+        R: [3,3]. rotation matrix.
+        t3d: [3,]. 3d translation vector.
+    Returns:
+        transformed vertices: [nver, 3]
+    '''
+    t3d = np.squeeze(np.array(t3d, dtype = np.float32))
+    transformed_vertices = s * vertices.dot(R.T) + t3d[np.newaxis, :]
+
+    return transformed_vertices
+
+
+## -------------- Camera. from world space to camera space
+# Ref: https://cs184.eecs.berkeley.edu/lecture/transforms-2
+def normalize(x):
+    epsilon = 1e-12
+    norm = np.sqrt(np.sum(x**2, axis = 0))
+    norm = np.maximum(norm, epsilon)
+    return x/norm
+
+def lookat_camera(vertices, eye, at = None, up = None):
+    """ 'look at' transformation: from world space to camera space
+    standard camera space: 
+        camera located at the origin. 
+        looking down negative z-axis. 
+        vertical vector is y-axis.
+    Xcam = R(X - C)
+    Homo: [[R, -RC], [0, 1]]
+    Args:
+      vertices: [nver, 3] 
+      eye: [3,] the XYZ world space position of the camera.
+      at: [3,] a position along the center of the camera's gaze.
+      up: [3,] up direction 
+    Returns:
+      transformed_vertices: [nver, 3]
+    """
+    if at is None:
+      at = np.array([0, 0, 0], np.float32)
+    if up is None:
+      up = np.array([0, 1, 0], np.float32)
+
+    eye = np.array(eye).astype(np.float32)
+    at = np.array(at).astype(np.float32)
+    z_aixs = -normalize(at - eye) # look forward
+    x_aixs = normalize(np.cross(up, z_aixs)) # look right
+    y_axis = np.cross(z_aixs, x_aixs) # look up
+
+    R = np.stack((x_aixs, y_axis, z_aixs))#, axis = 0) # 3 x 3
+    transformed_vertices = vertices - eye # translation
+    transformed_vertices = transformed_vertices.dot(R.T) # rotation
+    return transformed_vertices
+
+## --------- 3d-2d project. from camera space to image plane
+# generally, image plane only keeps x,y channels, here reserve z channel for calculating z-buffer.
+def orthographic_project(vertices):
+    ''' scaled orthographic projection(just delete z)
+        assumes: variations in depth over the object is small relative to the mean distance from camera to object
+        x -> x*f/z, y -> x*f/z, z -> f.
+        for point i,j. zi~=zj. so just delete z
+        ** often used in face
+        Homo: P = [[1,0,0,0], [0,1,0,0], [0,0,1,0]]
+    Args:
+        vertices: [nver, 3]
+    Returns:
+        projected_vertices: [nver, 3] if isKeepZ=True. [nver, 2] if isKeepZ=False.
+    '''
+    return vertices.copy()
+
+def perspective_project(vertices, fovy, aspect_ratio = 1., near = 0.1, far = 1000.):
+    ''' perspective projection.
+    Args:
+        vertices: [nver, 3]
+        fovy: vertical angular field of view. degree.
+        aspect_ratio : width / height of field of view
+        near : depth of near clipping plane
+        far : depth of far clipping plane
+    Returns:
+        projected_vertices: [nver, 3] 
+    '''
+    fovy = np.deg2rad(fovy)
+    top = near*np.tan(fovy)
+    bottom = -top 
+    right = top*aspect_ratio
+    left = -right
+
+    #-- homo
+    P = np.array([[near/right, 0, 0, 0],
+                 [0, near/top, 0, 0],
+                 [0, 0, -(far+near)/(far-near), -2*far*near/(far-near)],
+                 [0, 0, -1, 0]])
+    vertices_homo = np.hstack((vertices, np.ones((vertices.shape[0], 1)))) # [nver, 4]
+    projected_vertices = vertices_homo.dot(P.T)
+    projected_vertices = projected_vertices/projected_vertices[:,3:]
+    projected_vertices = projected_vertices[:,:3]
+    projected_vertices[:,2] = -projected_vertices[:,2]
+
+    #-- non homo. only fovy
+    # projected_vertices = vertices.copy()
+    # projected_vertices[:,0] = -(near/right)*vertices[:,0]/vertices[:,2]
+    # projected_vertices[:,1] = -(near/top)*vertices[:,1]/vertices[:,2]
+    return projected_vertices
+
+
+def to_image(vertices, h, w, is_perspective = False):
+    ''' change vertices to image coord system
+    3d system: XYZ, center(0, 0, 0)
+    2d image: x(u), y(v). center(w/2, h/2), flip y-axis. 
+    Args:
+        vertices: [nver, 3]
+        h: height of the rendering
+        w : width of the rendering
+    Returns:
+        projected_vertices: [nver, 3]  
+    '''
+    image_vertices = vertices.copy()
+    if is_perspective:
+        # if perspective, the projected vertices are normalized to [-1, 1]. so change it to image size first.
+        image_vertices[:,0] = image_vertices[:,0]*w/2
+        image_vertices[:,1] = image_vertices[:,1]*h/2
+    # move to center of image
+    image_vertices[:,0] = image_vertices[:,0] + w/2
+    image_vertices[:,1] = image_vertices[:,1] + h/2
+    # flip vertices along y-axis.
+    image_vertices[:,1] = h - image_vertices[:,1] - 1
+    return image_vertices
+
+
+#### -------------------------------------------2. estimate transform matrix from correspondences.
+def estimate_affine_matrix_3d23d(X, Y):
+    ''' Using least-squares solution 
+    Args:
+        X: [n, 3]. 3d points(fixed)
+        Y: [n, 3]. corresponding 3d points(moving). Y = PX
+    Returns:
+        P_Affine: (3, 4). Affine camera matrix (the third row is [0, 0, 0, 1]).
+    '''
+    X_homo = np.hstack((X, np.ones([X.shape[1],1]))) #n x 4
+    P = np.linalg.lstsq(X_homo, Y)[0].T # Affine matrix. 3 x 4
+    return P
+    
+def estimate_affine_matrix_3d22d(X, x):
+    ''' Using Golden Standard Algorithm for estimating an affine camera
+        matrix P from world to image correspondences.
+        See Alg.7.2. in MVGCV 
+        Code Ref: https://github.com/patrikhuber/eos/blob/master/include/eos/fitting/affine_camera_estimation.hpp
+        x_homo = X_homo.dot(P_Affine)
+    Args:
+        X: [n, 3]. corresponding 3d points(fixed)
+        x: [n, 2]. n>=4. 2d points(moving). x = PX
+    Returns:
+        P_Affine: [3, 4]. Affine camera matrix
+    '''
+    X = X.T; x = x.T
+    assert(x.shape[1] == X.shape[1])
+    n = x.shape[1]
+    assert(n >= 4)
+
+    #--- 1. normalization
+    # 2d points
+    mean = np.mean(x, 1) # (2,)
+    x = x - np.tile(mean[:, np.newaxis], [1, n])
+    average_norm = np.mean(np.sqrt(np.sum(x**2, 0)))
+    scale = np.sqrt(2) / average_norm
+    x = scale * x
+
+    T = np.zeros((3,3), dtype = np.float32)
+    T[0, 0] = T[1, 1] = scale
+    T[:2, 2] = -mean*scale
+    T[2, 2] = 1
+
+    # 3d points
+    X_homo = np.vstack((X, np.ones((1, n))))
+    mean = np.mean(X, 1) # (3,)
+    X = X - np.tile(mean[:, np.newaxis], [1, n])
+    m = X_homo[:3,:] - X
+    average_norm = np.mean(np.sqrt(np.sum(X**2, 0)))
+    scale = np.sqrt(3) / average_norm
+    X = scale * X
+
+    U = np.zeros((4,4), dtype = np.float32)
+    U[0, 0] = U[1, 1] = U[2, 2] = scale
+    U[:3, 3] = -mean*scale
+    U[3, 3] = 1
+
+    # --- 2. equations
+    A = np.zeros((n*2, 8), dtype = np.float32);
+    X_homo = np.vstack((X, np.ones((1, n)))).T
+    A[:n, :4] = X_homo
+    A[n:, 4:] = X_homo
+    b = np.reshape(x, [-1, 1])
+ 
+    # --- 3. solution
+    p_8 = np.linalg.pinv(A).dot(b)
+    P = np.zeros((3, 4), dtype = np.float32)
+    P[0, :] = p_8[:4, 0]
+    P[1, :] = p_8[4:, 0]
+    P[-1, -1] = 1
+
+    # --- 4. denormalization
+    P_Affine = np.linalg.inv(T).dot(P.dot(U))
+    return P_Affine
+
+def P2sRt(P):
+    ''' decompositing camera matrix P
+    Args: 
+        P: (3, 4). Affine Camera Matrix.
+    Returns:
+        s: scale factor.
+        R: (3, 3). rotation matrix.
+        t: (3,). translation. 
+    '''
+    t = P[:, 3]
+    R1 = P[0:1, :3]
+    R2 = P[1:2, :3]
+    s = (np.linalg.norm(R1) + np.linalg.norm(R2))/2.0
+    r1 = R1/np.linalg.norm(R1)
+    r2 = R2/np.linalg.norm(R2)
+    r3 = np.cross(r1, r2)
+
+    R = np.concatenate((r1, r2, r3), 0)
+    return s, R, t
+
+#Ref: https://www.learnopencv.com/rotation-matrix-to-euler-angles/
+def isRotationMatrix(R):
+    ''' checks if a matrix is a valid rotation matrix(whether orthogonal or not)
+    '''
+    Rt = np.transpose(R)
+    shouldBeIdentity = np.dot(Rt, R)
+    I = np.identity(3, dtype = R.dtype)
+    n = np.linalg.norm(I - shouldBeIdentity)
+    return n < 1e-6
+
+def matrix2angle(R):
+    ''' get three Euler angles from Rotation Matrix
+    Args:
+        R: (3,3). rotation matrix
+    Returns:
+        x: pitch
+        y: yaw
+        z: roll
+    '''
+    assert(isRotationMatrix)
+    sy = math.sqrt(R[0,0] * R[0,0] +  R[1,0] * R[1,0])
+     
+    singular = sy < 1e-6
+ 
+    if  not singular :
+        x = math.atan2(R[2,1] , R[2,2])
+        y = math.atan2(-R[2,0], sy)
+        z = math.atan2(R[1,0], R[0,0])
+    else :
+        x = math.atan2(-R[1,2], R[1,1])
+        y = math.atan2(-R[2,0], sy)
+        z = 0
+
+    # rx, ry, rz = np.rad2deg(x), np.rad2deg(y), np.rad2deg(z)
+    rx, ry, rz = x*180/np.pi, y*180/np.pi, z*180/np.pi
+    return rx, ry, rz
+
+# def matrix2angle(R):
+#     ''' compute three Euler angles from a Rotation Matrix. Ref: http://www.gregslabaugh.net/publications/euler.pdf
+#     Args:
+#         R: (3,3). rotation matrix
+#     Returns:
+#         x: yaw
+#         y: pitch
+#         z: roll
+#     '''
+#     # assert(isRotationMatrix(R))
+
+#     if R[2,0] !=1 or R[2,0] != -1:
+#         x = math.asin(R[2,0])
+#         y = math.atan2(R[2,1]/cos(x), R[2,2]/cos(x))
+#         z = math.atan2(R[1,0]/cos(x), R[0,0]/cos(x))
+        
+#     else:# Gimbal lock
+#         z = 0 #can be anything
+#         if R[2,0] == -1:
+#             x = np.pi/2
+#             y = z + math.atan2(R[0,1], R[0,2])
+#         else:
+#             x = -np.pi/2
+#             y = -z + math.atan2(-R[0,1], -R[0,2])
+
+#     return x, y, z
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh/vis.py b/insightface/thirdparty/face3d/mesh/vis.py
new file mode 100644
index 0000000000000000000000000000000000000000..9db972f2c463a310fa4abde16d6a7baf02797c90
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh/vis.py
@@ -0,0 +1,24 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import matplotlib.pyplot as plt
+from skimage import measure
+from mpl_toolkits.mplot3d import Axes3D
+
+def plot_mesh(vertices, triangles, subplot = [1,1,1], title = 'mesh', el = 90, az = -90, lwdt=.1, dist = 6, color = "grey"):
+	'''
+	plot the mesh 
+	Args:
+		vertices: [nver, 3]
+		triangles: [ntri, 3]
+	'''
+	ax = plt.subplot(subplot[0], subplot[1], subplot[2], projection = '3d')
+	ax.plot_trisurf(vertices[:, 0], vertices[:, 1], vertices[:, 2], triangles = triangles, lw = lwdt, color = color, alpha = 1)
+	ax.axis("off")
+	ax.view_init(elev = el, azim = az)
+	ax.dist = dist
+	plt.title(title)
+
+### -------------- Todo: use vtk to visualize mesh? or visvis? or VisPy?
diff --git a/insightface/thirdparty/face3d/mesh_numpy/__init__.py b/insightface/thirdparty/face3d/mesh_numpy/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..65d503903b8bec3ab20bd1915618dbd467710207
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/__init__.py
@@ -0,0 +1,10 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+from . import io
+from . import vis
+from . import transform
+from . import light
+from . import render
+
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diff --git a/insightface/thirdparty/face3d/mesh_numpy/io.py b/insightface/thirdparty/face3d/mesh_numpy/io.py
new file mode 100644
index 0000000000000000000000000000000000000000..0e48a76d21689c6f3b85cb1aa9ad6123058b3816
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/io.py
@@ -0,0 +1,170 @@
+''' io: read&write mesh
+1. read obj as array(TODO)
+2. write arrays to obj
+
+Preparation knowledge:
+representations of 3d face: mesh, point cloud...
+storage format: obj, ply, bin, asc, mat...
+'''
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import os
+from skimage import io
+
+## TODO
+## TODO: c++ version
+def read_obj(obj_name):
+	''' read mesh
+	'''
+	return 0
+
+# ------------------------- write
+def write_asc(path, vertices):
+    '''
+    Args:
+        vertices: shape = (nver, 3)
+    '''
+    if path.split('.')[-1] == 'asc':
+        np.savetxt(path, vertices)
+    else:
+        np.savetxt(path + '.asc', vertices)
+
+def write_obj_with_colors(obj_name, vertices, triangles, colors):
+    ''' Save 3D face model with texture represented by colors.
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        colors: shape = (nver, 3)
+    '''
+    triangles = triangles.copy()
+    triangles += 1 # meshlab start with 1
+    
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+        
+    # write obj
+    with open(obj_name, 'w') as f:
+        
+        # write vertices & colors
+        for i in range(vertices.shape[0]):
+            # s = 'v {} {} {} \n'.format(vertices[0,i], vertices[1,i], vertices[2,i])
+            s = 'v {} {} {} {} {} {}\n'.format(vertices[i, 0], vertices[i, 1], vertices[i, 2], colors[i, 0], colors[i, 1], colors[i, 2])
+            f.write(s)
+
+        # write f: ver ind/ uv ind
+        [k, ntri] = triangles.shape
+        for i in range(triangles.shape[0]):
+            # s = 'f {} {} {}\n'.format(triangles[i, 0], triangles[i, 1], triangles[i, 2])
+            s = 'f {} {} {}\n'.format(triangles[i, 2], triangles[i, 1], triangles[i, 0])
+            f.write(s)
+
+## TODO: c++ version
+def write_obj_with_texture(obj_name, vertices, triangles, texture, uv_coords):
+    ''' Save 3D face model with texture represented by texture map.
+    Ref: https://github.com/patrikhuber/eos/blob/bd00155ebae4b1a13b08bf5a991694d682abbada/include/eos/core/Mesh.hpp
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        texture: shape = (256,256,3)
+        uv_coords: shape = (nver, 3) max value<=1
+    '''
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+    mtl_name = obj_name.replace('.obj', '.mtl')
+    texture_name = obj_name.replace('.obj', '_texture.png')
+    
+    triangles = triangles.copy()
+    triangles += 1 # mesh lab start with 1
+    
+    # write obj
+    with open(obj_name, 'w') as f:
+        # first line: write mtlib(material library)
+        s = "mtllib {}\n".format(os.path.abspath(mtl_name))
+        f.write(s)
+
+        # write vertices
+        for i in range(vertices.shape[0]):
+            s = 'v {} {} {}\n'.format(vertices[i, 0], vertices[i, 1], vertices[i, 2])
+            f.write(s)
+        
+        # write uv coords
+        for i in range(uv_coords.shape[0]):
+            # s = 'vt {} {}\n'.format(uv_coords[i,0], 1 - uv_coords[i,1])
+            s = 'vt {} {}\n'.format(uv_coords[i,0], uv_coords[i,1])
+            f.write(s)
+
+        f.write("usemtl FaceTexture\n")
+
+        # write f: ver ind/ uv ind
+        for i in range(triangles.shape[0]):
+            s = 'f {}/{} {}/{} {}/{}\n'.format(triangles[i,2], triangles[i,2], triangles[i,1], triangles[i,1], triangles[i,0], triangles[i,0])
+            f.write(s)
+
+    # write mtl
+    with open(mtl_name, 'w') as f:
+        f.write("newmtl FaceTexture\n")
+        s = 'map_Kd {}\n'.format(os.path.abspath(texture_name)) # map to image
+        f.write(s)
+
+    # write texture as png
+    imsave(texture_name, texture)
+
+
+def write_obj_with_colors_texture(obj_name, vertices, triangles, colors, texture, uv_coords):
+    ''' Save 3D face model with texture. 
+    Ref: https://github.com/patrikhuber/eos/blob/bd00155ebae4b1a13b08bf5a991694d682abbada/include/eos/core/Mesh.hpp
+    Args:
+        obj_name: str
+        vertices: shape = (nver, 3)
+        triangles: shape = (ntri, 3)
+        colors: shape = (nver, 3)
+        texture: shape = (256,256,3)
+        uv_coords: shape = (nver, 3) max value<=1
+    '''
+    if obj_name.split('.')[-1] != 'obj':
+        obj_name = obj_name + '.obj'
+    mtl_name = obj_name.replace('.obj', '.mtl')
+    texture_name = obj_name.replace('.obj', '_texture.png')
+    
+    triangles = triangles.copy()
+    triangles += 1 # mesh lab start with 1
+    
+    # write obj
+    with open(obj_name, 'w') as f:
+        # first line: write mtlib(material library)
+        s = "mtllib {}\n".format(os.path.abspath(mtl_name))
+        f.write(s)
+
+        # write vertices
+        for i in range(vertices.shape[0]):
+            s = 'v {} {} {} {} {} {}\n'.format(vertices[i, 0], vertices[i, 1], vertices[i, 2], colors[i, 0], colors[i, 1], colors[i, 2])
+            f.write(s)
+        
+        # write uv coords
+        for i in range(uv_coords.shape[0]):
+            # s = 'vt {} {}\n'.format(uv_coords[i,0], 1 - uv_coords[i,1])
+            s = 'vt {} {}\n'.format(uv_coords[i,0], uv_coords[i,1])
+            f.write(s)
+
+        f.write("usemtl FaceTexture\n")
+
+        # write f: ver ind/ uv ind
+        for i in range(triangles.shape[0]):
+            # s = 'f {}/{} {}/{} {}/{}\n'.format(triangles[i,0], triangles[i,0], triangles[i,1], triangles[i,1], triangles[i,2], triangles[i,2])
+            s = 'f {}/{} {}/{} {}/{}\n'.format(triangles[i,2], triangles[i,2], triangles[i,1], triangles[i,1], triangles[i,0], triangles[i,0])
+            f.write(s)
+
+    # write mtl
+    with open(mtl_name, 'w') as f:
+        f.write("newmtl FaceTexture\n")
+        s = 'map_Kd {}\n'.format(os.path.abspath(texture_name)) # map to image
+        f.write(s)
+
+    # write texture as png
+    io.imsave(texture_name, texture)
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh_numpy/light.py b/insightface/thirdparty/face3d/mesh_numpy/light.py
new file mode 100644
index 0000000000000000000000000000000000000000..bde57114bdd57b6e9a2bac59942bfcbfbf17cbe3
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/light.py
@@ -0,0 +1,215 @@
+'''
+Functions about lighting mesh(changing colors/texture of mesh).
+1. add light to colors/texture (shade each vertex)
+2. fit light according to colors/texture & image.
+
+Preparation knowledge:
+lighting: https://cs184.eecs.berkeley.edu/lecture/pipeline
+spherical harmonics in human face: '3D Face Reconstruction from a Single Image Using a Single Reference Face Shape'
+'''
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+
+def get_normal(vertices, triangles):
+    ''' calculate normal direction in each vertex
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+    Returns:
+        normal: [nver, 3]
+    '''
+    pt0 = vertices[triangles[:, 0], :] # [ntri, 3]
+    pt1 = vertices[triangles[:, 1], :] # [ntri, 3]
+    pt2 = vertices[triangles[:, 2], :] # [ntri, 3]
+    tri_normal = np.cross(pt0 - pt1, pt0 - pt2) # [ntri, 3]. normal of each triangle
+
+    normal = np.zeros_like(vertices) # [nver, 3]
+    for i in range(triangles.shape[0]):
+        normal[triangles[i, 0], :] = normal[triangles[i, 0], :] + tri_normal[i, :]
+        normal[triangles[i, 1], :] = normal[triangles[i, 1], :] + tri_normal[i, :]
+        normal[triangles[i, 2], :] = normal[triangles[i, 2], :] + tri_normal[i, :]
+    
+    # normalize to unit length
+    mag = np.sum(normal**2, 1) # [nver]
+    zero_ind = (mag == 0)
+    mag[zero_ind] = 1;
+    normal[zero_ind, 0] = np.ones((np.sum(zero_ind)))
+
+    normal = normal/np.sqrt(mag[:,np.newaxis])
+
+    return normal
+
+# TODO: test
+def add_light_sh(vertices, triangles, colors, sh_coeff):
+    ''' 
+    In 3d face, usually assume:
+    1. The surface of face is Lambertian(reflect only the low frequencies of lighting)
+    2. Lighting can be an arbitrary combination of point sources
+    --> can be expressed in terms of spherical harmonics(omit the lighting coefficients)
+    I = albedo * (sh(n) x sh_coeff)
+    
+    albedo: n x 1
+    sh_coeff: 9 x 1
+    Y(n) = (1, n_x, n_y, n_z, n_xn_y, n_xn_z, n_yn_z, n_x^2 - n_y^2, 3n_z^2 - 1)': n x 9 
+    # Y(n) = (1, n_x, n_y, n_z)': n x 4
+
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        colors: [nver, 3] albedo
+        sh_coeff: [9, 1] spherical harmonics coefficients
+
+    Returns:
+        lit_colors: [nver, 3]
+    '''
+    assert vertices.shape[0] == colors.shape[0]
+    nver = vertices.shape[0]
+    normal = get_normal(vertices, triangles) # [nver, 3]
+    sh = np.array((np.ones(nver), n[:,0], n[:,1], n[:,2], n[:,0]*n[:,1], n[:,0]*n[:,2], n[:,1]*n[:,2], n[:,0]**2 - n[:,1]**2, 3*(n[:,2]**2) - 1)) # [nver, 9]
+    ref = sh.dot(sh_coeff) #[nver, 1]
+    lit_colors = colors*ref
+    return lit_colors
+
+
+def add_light(vertices, triangles, colors, light_positions = 0, light_intensities = 0):
+    ''' Gouraud shading. add point lights.
+    In 3d face, usually assume:
+    1. The surface of face is Lambertian(reflect only the low frequencies of lighting)
+    2. Lighting can be an arbitrary combination of point sources
+    3. No specular (unless skin is oil, 23333)
+
+    Ref: https://cs184.eecs.berkeley.edu/lecture/pipeline    
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        light_positions: [nlight, 3] 
+        light_intensities: [nlight, 3]
+    Returns:
+        lit_colors: [nver, 3]
+    '''
+    nver = vertices.shape[0]
+    normals = get_normal(vertices, triangles) # [nver, 3]
+
+    # ambient
+    # La = ka*Ia
+
+    # diffuse
+    # Ld = kd*(I/r^2)max(0, nxl)
+    direction_to_lights = vertices[np.newaxis, :, :] - light_positions[:, np.newaxis, :] # [nlight, nver, 3]
+    direction_to_lights_n = np.sqrt(np.sum(direction_to_lights**2, axis = 2)) # [nlight, nver]
+    direction_to_lights = direction_to_lights/direction_to_lights_n[:, :, np.newaxis]
+    normals_dot_lights = normals[np.newaxis, :, :]*direction_to_lights # [nlight, nver, 3]
+    normals_dot_lights = np.sum(normals_dot_lights, axis = 2) # [nlight, nver]
+    diffuse_output = colors[np.newaxis, :, :]*normals_dot_lights[:, :, np.newaxis]*light_intensities[:, np.newaxis, :]
+    diffuse_output = np.sum(diffuse_output, axis = 0) # [nver, 3]
+    
+    # specular
+    # h = (v + l)/(|v + l|) bisector
+    # Ls = ks*(I/r^2)max(0, nxh)^p
+    # increasing p narrows the reflectionlob
+
+    lit_colors = diffuse_output # only diffuse part here.
+    lit_colors = np.minimum(np.maximum(lit_colors, 0), 1)
+    return lit_colors
+
+
+
+## TODO. estimate light(sh coeff)
+## -------------------------------- estimate. can not use now. 
+def fit_light(image, vertices, colors, triangles, vis_ind, lamb = 10, max_iter = 3):
+    [h, w, c] = image.shape
+
+    # surface normal
+    norm = get_normal(vertices, triangles)
+    
+    nver = vertices.shape[1]
+
+    # vertices --> corresponding image pixel
+    pt2d = vertices[:2, :]
+
+    pt2d[0,:] = np.minimum(np.maximum(pt2d[0,:], 0), w - 1)
+    pt2d[1,:] = np.minimum(np.maximum(pt2d[1,:], 0), h - 1)
+    pt2d = np.round(pt2d).astype(np.int32) # 2 x nver
+
+    image_pixel = image[pt2d[1,:], pt2d[0,:], :] # nver x 3
+    image_pixel = image_pixel.T # 3 x nver
+
+    # vertices --> corresponding mean texture pixel with illumination
+    # Spherical Harmonic Basis
+    harmonic_dim = 9
+    nx = norm[0,:];
+    ny = norm[1,:];
+    nz = norm[2,:];
+    harmonic = np.zeros((nver, harmonic_dim))
+
+    pi = np.pi
+    harmonic[:,0] = np.sqrt(1/(4*pi)) * np.ones((nver,));
+    harmonic[:,1] = np.sqrt(3/(4*pi)) * nx;
+    harmonic[:,2] = np.sqrt(3/(4*pi)) * ny;
+    harmonic[:,3] = np.sqrt(3/(4*pi)) * nz;
+    harmonic[:,4] = 1/2. * np.sqrt(3/(4*pi)) * (2*nz**2 - nx**2 - ny**2);
+    harmonic[:,5] = 3 * np.sqrt(5/(12*pi)) * (ny*nz);
+    harmonic[:,6] = 3 * np.sqrt(5/(12*pi)) * (nx*nz);
+    harmonic[:,7] = 3 * np.sqrt(5/(12*pi)) * (nx*ny);
+    harmonic[:,8] = 3/2. * np.sqrt(5/(12*pi)) * (nx*nx - ny*ny);
+    
+    '''
+    I' = sum(albedo * lj * hj) j = 0:9 (albedo = tex)
+    set A = albedo*h (n x 9)
+        alpha = lj (9 x 1)
+        Y = I (n x 1)
+        Y' = A.dot(alpha)
+
+    opt function:
+        ||Y - A*alpha|| + lambda*(alpha'*alpha)
+    result:
+        A'*(Y - A*alpha) + lambda*alpha = 0
+        ==>
+        (A'*A*alpha - lambda)*alpha = A'*Y
+        left: 9 x 9
+        right: 9 x 1
+    '''
+    n_vis_ind = len(vis_ind)
+    n = n_vis_ind*c
+
+    Y = np.zeros((n, 1))
+    A = np.zeros((n, 9))
+    light = np.zeros((3, 1))
+
+    for k in range(c):
+        Y[k*n_vis_ind:(k+1)*n_vis_ind, :] = image_pixel[k, vis_ind][:, np.newaxis]
+        A[k*n_vis_ind:(k+1)*n_vis_ind, :] = texture[k, vis_ind][:, np.newaxis] * harmonic[vis_ind, :]
+        Ac = texture[k, vis_ind][:, np.newaxis]
+        Yc = image_pixel[k, vis_ind][:, np.newaxis]
+        light[k] = (Ac.T.dot(Yc))/(Ac.T.dot(Ac))
+
+    for i in range(max_iter):
+
+        Yc = Y.copy()
+        for k in range(c):
+            Yc[k*n_vis_ind:(k+1)*n_vis_ind, :]  /= light[k]
+
+        # update alpha
+        equation_left = np.dot(A.T, A) + lamb*np.eye(harmonic_dim); # why + ?
+        equation_right = np.dot(A.T, Yc) 
+        alpha = np.dot(np.linalg.inv(equation_left), equation_right)
+
+        # update light
+        for k in range(c):
+            Ac = A[k*n_vis_ind:(k+1)*n_vis_ind, :].dot(alpha)
+            Yc = Y[k*n_vis_ind:(k+1)*n_vis_ind, :]
+            light[k] = (Ac.T.dot(Yc))/(Ac.T.dot(Ac))
+
+    appearance = np.zeros_like(texture)
+    for k in range(c):
+        tmp = np.dot(harmonic*texture[k, :][:, np.newaxis], alpha*light[k])
+        appearance[k,:] = tmp.T
+
+    appearance = np.minimum(np.maximum(appearance, 0), 1)
+
+    return appearance
+
diff --git a/insightface/thirdparty/face3d/mesh_numpy/render.py b/insightface/thirdparty/face3d/mesh_numpy/render.py
new file mode 100644
index 0000000000000000000000000000000000000000..eb0d92d31ee98dd17cffc9dd67180107f52340f2
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/render.py
@@ -0,0 +1,287 @@
+'''
+functions about rendering mesh(from 3d obj to 2d image).
+only use rasterization render here.
+Note that:
+1. Generally, render func includes camera, light, raterize. Here no camera and light(I write these in other files)
+2. Generally, the input vertices are normalized to [-1,1] and cetered on [0, 0]. (in world space)
+   Here, the vertices are using image coords, which centers on [w/2, h/2] with the y-axis pointing to oppisite direction.
+Means: render here only conducts interpolation.(I just want to make the input flexible)
+
+Preparation knowledge:
+z-buffer: https://cs184.eecs.berkeley.edu/lecture/pipeline
+
+Author: Yao Feng 
+Mail: yaofeng1995@gmail.com
+'''
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+from time import time
+
+def isPointInTri(point, tri_points):
+    ''' Judge whether the point is in the triangle
+    Method:
+        http://blackpawn.com/texts/pointinpoly/
+    Args:
+        point: (2,). [u, v] or [x, y] 
+        tri_points: (3 vertices, 2 coords). three vertices(2d points) of a triangle. 
+    Returns:
+        bool: true for in triangle
+    '''
+    tp = tri_points
+
+    # vectors
+    v0 = tp[2,:] - tp[0,:]
+    v1 = tp[1,:] - tp[0,:]
+    v2 = point - tp[0,:]
+
+    # dot products
+    dot00 = np.dot(v0.T, v0)
+    dot01 = np.dot(v0.T, v1)
+    dot02 = np.dot(v0.T, v2)
+    dot11 = np.dot(v1.T, v1)
+    dot12 = np.dot(v1.T, v2)
+
+    # barycentric coordinates
+    if dot00*dot11 - dot01*dot01 == 0:
+        inverDeno = 0
+    else:
+        inverDeno = 1/(dot00*dot11 - dot01*dot01)
+
+    u = (dot11*dot02 - dot01*dot12)*inverDeno
+    v = (dot00*dot12 - dot01*dot02)*inverDeno
+
+    # check if point in triangle
+    return (u >= 0) & (v >= 0) & (u + v < 1)
+
+def get_point_weight(point, tri_points):
+    ''' Get the weights of the position
+    Methods: https://gamedev.stackexchange.com/questions/23743/whats-the-most-efficient-way-to-find-barycentric-coordinates
+     -m1.compute the area of the triangles formed by embedding the point P inside the triangle
+     -m2.Christer Ericson's book "Real-Time Collision Detection". faster.(used)
+    Args:
+        point: (2,). [u, v] or [x, y] 
+        tri_points: (3 vertices, 2 coords). three vertices(2d points) of a triangle. 
+    Returns:
+        w0: weight of v0
+        w1: weight of v1
+        w2: weight of v3
+     '''
+    tp = tri_points
+    # vectors
+    v0 = tp[2,:] - tp[0,:]
+    v1 = tp[1,:] - tp[0,:]
+    v2 = point - tp[0,:]
+
+    # dot products
+    dot00 = np.dot(v0.T, v0)
+    dot01 = np.dot(v0.T, v1)
+    dot02 = np.dot(v0.T, v2)
+    dot11 = np.dot(v1.T, v1)
+    dot12 = np.dot(v1.T, v2)
+
+    # barycentric coordinates
+    if dot00*dot11 - dot01*dot01 == 0:
+        inverDeno = 0
+    else:
+        inverDeno = 1/(dot00*dot11 - dot01*dot01)
+
+    u = (dot11*dot02 - dot01*dot12)*inverDeno
+    v = (dot00*dot12 - dot01*dot02)*inverDeno
+
+    w0 = 1 - u - v
+    w1 = v
+    w2 = u
+
+    return w0, w1, w2
+
+def rasterize_triangles(vertices, triangles, h, w):
+    ''' 
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3]
+        h: height
+        w: width
+    Returns:
+        depth_buffer: [h, w] saves the depth, here, the bigger the z, the fronter the point.
+        triangle_buffer: [h, w] saves the tri id(-1 for no triangle). 
+        barycentric_weight: [h, w, 3] saves corresponding barycentric weight.
+
+    # Each triangle has 3 vertices & Each vertex has 3 coordinates x, y, z.
+    # h, w is the size of rendering
+    '''
+    # initial 
+    depth_buffer = np.zeros([h, w]) - 999999. #+ np.min(vertices[2,:]) - 999999. # set the initial z to the farest position
+    triangle_buffer = np.zeros([h, w], dtype = np.int32) - 1  # if tri id = -1, the pixel has no triangle correspondance
+    barycentric_weight = np.zeros([h, w, 3], dtype = np.float32)  # 
+    
+    for i in range(triangles.shape[0]):
+        tri = triangles[i, :] # 3 vertex indices
+
+        # the inner bounding box
+        umin = max(int(np.ceil(np.min(vertices[tri, 0]))), 0)
+        umax = min(int(np.floor(np.max(vertices[tri, 0]))), w-1)
+
+        vmin = max(int(np.ceil(np.min(vertices[tri, 1]))), 0)
+        vmax = min(int(np.floor(np.max(vertices[tri, 1]))), h-1)
+
+        if umax<umin or vmax<vmin:
+            continue
+
+        for u in range(umin, umax+1):
+            for v in range(vmin, vmax+1):
+                if not isPointInTri([u,v], vertices[tri, :2]): 
+                    continue
+                w0, w1, w2 = get_point_weight([u, v], vertices[tri, :2]) # barycentric weight
+                point_depth = w0*vertices[tri[0], 2] + w1*vertices[tri[1], 2] + w2*vertices[tri[2], 2]
+                if point_depth > depth_buffer[v, u]:
+                    depth_buffer[v, u] = point_depth
+                    triangle_buffer[v, u] = i
+                    barycentric_weight[v, u, :] = np.array([w0, w1, w2])
+
+    return depth_buffer, triangle_buffer, barycentric_weight
+
+
+def render_colors_ras(vertices, triangles, colors, h, w, c = 3):
+    ''' render mesh with colors(rasterize triangle first)
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3] 
+        colors: [nver, 3]
+        h: height
+        w: width    
+        c: channel
+    Returns:
+        image: [h, w, c]. rendering.
+    '''
+    assert vertices.shape[0] == colors.shape[0]
+
+    depth_buffer, triangle_buffer, barycentric_weight = rasterize_triangles(vertices, triangles, h, w)
+
+    triangle_buffer_flat = np.reshape(triangle_buffer, [-1]) # [h*w]
+    barycentric_weight_flat = np.reshape(barycentric_weight, [-1, c]) #[h*w, c]
+    weight = barycentric_weight_flat[:, :, np.newaxis] # [h*w, 3(ver in tri), 1]
+
+    colors_flat = colors[triangles[triangle_buffer_flat, :], :] # [h*w(tri id in pixel), 3(ver in tri), c(color in ver)]
+    colors_flat = weight*colors_flat # [h*w, 3, 3]
+    colors_flat = np.sum(colors_flat, 1) #[h*w, 3]. add tri.
+
+    image = np.reshape(colors_flat, [h, w, c])
+    # mask = (triangle_buffer[:,:] > -1).astype(np.float32)
+    # image = image*mask[:,:,np.newaxis]
+    return image
+
+
+def render_colors(vertices, triangles, colors, h, w, c = 3):
+    ''' render mesh with colors
+    Args:
+        vertices: [nver, 3]
+        triangles: [ntri, 3] 
+        colors: [nver, 3]
+        h: height
+        w: width    
+    Returns:
+        image: [h, w, c]. 
+    '''
+    assert vertices.shape[0] == colors.shape[0]
+    
+    # initial 
+    image = np.zeros((h, w, c))
+    depth_buffer = np.zeros([h, w]) - 999999.
+
+    for i in range(triangles.shape[0]):
+        tri = triangles[i, :] # 3 vertex indices
+
+        # the inner bounding box
+        umin = max(int(np.ceil(np.min(vertices[tri, 0]))), 0)
+        umax = min(int(np.floor(np.max(vertices[tri, 0]))), w-1)
+
+        vmin = max(int(np.ceil(np.min(vertices[tri, 1]))), 0)
+        vmax = min(int(np.floor(np.max(vertices[tri, 1]))), h-1)
+
+        if umax<umin or vmax<vmin:
+            continue
+
+        for u in range(umin, umax+1):
+            for v in range(vmin, vmax+1):
+                if not isPointInTri([u,v], vertices[tri, :2]): 
+                    continue
+                w0, w1, w2 = get_point_weight([u, v], vertices[tri, :2])
+                point_depth = w0*vertices[tri[0], 2] + w1*vertices[tri[1], 2] + w2*vertices[tri[2], 2]
+
+                if point_depth > depth_buffer[v, u]:
+                    depth_buffer[v, u] = point_depth
+                    image[v, u, :] = w0*colors[tri[0], :] + w1*colors[tri[1], :] + w2*colors[tri[2], :]
+    return image
+
+
+def render_texture(vertices, triangles, texture, tex_coords, tex_triangles, h, w, c = 3, mapping_type = 'nearest'):
+    ''' render mesh with texture map
+    Args:
+        vertices: [nver], 3
+        triangles: [ntri, 3]
+        texture: [tex_h, tex_w, 3]
+        tex_coords: [ntexcoords, 3]
+        tex_triangles: [ntri, 3]
+        h: height of rendering
+        w: width of rendering
+        c: channel
+        mapping_type: 'bilinear' or 'nearest'
+    '''
+    assert triangles.shape[0] == tex_triangles.shape[0]
+    tex_h, tex_w, _ = texture.shape
+
+    # initial 
+    image = np.zeros((h, w, c))
+    depth_buffer = np.zeros([h, w]) - 999999.
+
+    for i in range(triangles.shape[0]):
+        tri = triangles[i, :] # 3 vertex indices
+        tex_tri = tex_triangles[i, :] # 3 tex indice
+
+        # the inner bounding box
+        umin = max(int(np.ceil(np.min(vertices[tri, 0]))), 0)
+        umax = min(int(np.floor(np.max(vertices[tri, 0]))), w-1)
+
+        vmin = max(int(np.ceil(np.min(vertices[tri, 1]))), 0)
+        vmax = min(int(np.floor(np.max(vertices[tri, 1]))), h-1)
+
+        if umax<umin or vmax<vmin:
+            continue
+
+        for u in range(umin, umax+1):
+            for v in range(vmin, vmax+1):
+                if not isPointInTri([u,v], vertices[tri, :2]): 
+                    continue
+                w0, w1, w2 = get_point_weight([u, v], vertices[tri, :2])
+                point_depth = w0*vertices[tri[0], 2] + w1*vertices[tri[1], 2] + w2*vertices[tri[2], 2]
+                if point_depth > depth_buffer[v, u]:
+                    # update depth
+                    depth_buffer[v, u] = point_depth    
+                    
+                    # tex coord
+                    tex_xy = w0*tex_coords[tex_tri[0], :] + w1*tex_coords[tex_tri[1], :] + w2*tex_coords[tex_tri[2], :]
+                    tex_xy[0] = max(min(tex_xy[0], float(tex_w - 1)), 0.0); 
+                    tex_xy[1] = max(min(tex_xy[1], float(tex_h - 1)), 0.0); 
+
+                    # nearest
+                    if mapping_type == 'nearest':
+                        tex_xy = np.round(tex_xy).astype(np.int32)
+                        tex_value = texture[tex_xy[1], tex_xy[0], :] 
+
+                    # bilinear
+                    elif mapping_type == 'bilinear':
+                        # next 4 pixels
+                        ul = texture[int(np.floor(tex_xy[1])), int(np.floor(tex_xy[0])), :]
+                        ur = texture[int(np.floor(tex_xy[1])), int(np.ceil(tex_xy[0])), :]
+                        dl = texture[int(np.ceil(tex_xy[1])), int(np.floor(tex_xy[0])), :]
+                        dr = texture[int(np.ceil(tex_xy[1])), int(np.ceil(tex_xy[0])), :]
+
+                        yd = tex_xy[1] - np.floor(tex_xy[1])
+                        xd = tex_xy[0] - np.floor(tex_xy[0])
+                        tex_value = ul*(1-xd)*(1-yd) + ur*xd*(1-yd) + dl*(1-xd)*yd + dr*xd*yd
+
+                    image[v, u, :] = tex_value
+    return image
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh_numpy/transform.py b/insightface/thirdparty/face3d/mesh_numpy/transform.py
new file mode 100644
index 0000000000000000000000000000000000000000..ab56e370ce6218650b4fa7cd6f503e3ac73be854
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/transform.py
@@ -0,0 +1,385 @@
+'''
+Functions about transforming mesh(changing the position: modify vertices).
+1. forward: transform(transform, camera, project).
+2. backward: estimate transform matrix from correspondences.
+
+Preparation knowledge:
+transform&camera model:
+https://cs184.eecs.berkeley.edu/lecture/transforms-2
+Part I: camera geometry and single view geometry in MVGCV
+'''
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import math
+from math import cos, sin
+
+def angle2matrix(angles):
+    ''' get rotation matrix from three rotation angles(degree). right-handed.
+    Args:
+        angles: [3,]. x, y, z angles
+        x: pitch. positive for looking down.
+        y: yaw. positive for looking left. 
+        z: roll. positive for tilting head right. 
+    Returns:
+        R: [3, 3]. rotation matrix.
+    '''
+    x, y, z = np.deg2rad(angles[0]), np.deg2rad(angles[1]), np.deg2rad(angles[2])
+    # x
+    Rx=np.array([[1,      0,       0],
+                 [0, cos(x),  -sin(x)],
+                 [0, sin(x),   cos(x)]])
+    # y
+    Ry=np.array([[ cos(y), 0, sin(y)],
+                 [      0, 1,      0],
+                 [-sin(y), 0, cos(y)]])
+    # z
+    Rz=np.array([[cos(z), -sin(z), 0],
+                 [sin(z),  cos(z), 0],
+                 [     0,       0, 1]])
+    
+    R=Rz.dot(Ry.dot(Rx))
+    return R.astype(np.float32)
+
+def angle2matrix_3ddfa(angles):
+    ''' get rotation matrix from three rotation angles(radian). The same as in 3DDFA.
+    Args:
+        angles: [3,]. x, y, z angles
+        x: pitch.
+        y: yaw. 
+        z: roll. 
+    Returns:
+        R: 3x3. rotation matrix.
+    '''
+    # x, y, z = np.deg2rad(angles[0]), np.deg2rad(angles[1]), np.deg2rad(angles[2])
+    x, y, z = angles[0], angles[1], angles[2]
+    
+    # x
+    Rx=np.array([[1,      0,       0],
+                 [0, cos(x),  sin(x)],
+                 [0, -sin(x),   cos(x)]])
+    # y
+    Ry=np.array([[ cos(y), 0, -sin(y)],
+                 [      0, 1,      0],
+                 [sin(y), 0, cos(y)]])
+    # z
+    Rz=np.array([[cos(z), sin(z), 0],
+                 [-sin(z),  cos(z), 0],
+                 [     0,       0, 1]])
+    R = Rx.dot(Ry).dot(Rz)
+    return R.astype(np.float32)
+
+
+## ------------------------------------------ 1. transform(transform, project, camera).
+## ---------- 3d-3d transform. Transform obj in world space
+def rotate(vertices, angles):
+    ''' rotate vertices. 
+    X_new = R.dot(X). X: 3 x 1   
+    Args:
+        vertices: [nver, 3]. 
+        rx, ry, rz: degree angles
+        rx: pitch. positive for looking down 
+        ry: yaw. positive for looking left
+        rz: roll. positive for tilting head right
+    Returns:
+        rotated vertices: [nver, 3]
+    '''
+    R = angle2matrix(angles)
+    rotated_vertices = vertices.dot(R.T)
+
+    return rotated_vertices
+
+def similarity_transform(vertices, s, R, t3d):
+    ''' similarity transform. dof = 7.
+    3D: s*R.dot(X) + t
+    Homo: M = [[sR, t],[0^T, 1]].  M.dot(X)
+    Args:(float32)
+        vertices: [nver, 3]. 
+        s: [1,]. scale factor.
+        R: [3,3]. rotation matrix.
+        t3d: [3,]. 3d translation vector.
+    Returns:
+        transformed vertices: [nver, 3]
+    '''
+    t3d = np.squeeze(np.array(t3d, dtype = np.float32))
+    transformed_vertices = s * vertices.dot(R.T) + t3d[np.newaxis, :]
+
+    return transformed_vertices
+
+
+## -------------- Camera. from world space to camera space
+# Ref: https://cs184.eecs.berkeley.edu/lecture/transforms-2
+def normalize(x):
+    epsilon = 1e-12
+    norm = np.sqrt(np.sum(x**2, axis = 0))
+    norm = np.maximum(norm, epsilon)
+    return x/norm
+
+def lookat_camera(vertices, eye, at = None, up = None):
+    """ 'look at' transformation: from world space to camera space
+    standard camera space: 
+        camera located at the origin. 
+        looking down negative z-axis. 
+        vertical vector is y-axis.
+    Xcam = R(X - C)
+    Homo: [[R, -RC], [0, 1]]
+    Args:
+      vertices: [nver, 3] 
+      eye: [3,] the XYZ world space position of the camera.
+      at: [3,] a position along the center of the camera's gaze.
+      up: [3,] up direction 
+    Returns:
+      transformed_vertices: [nver, 3]
+    """
+    if at is None:
+      at = np.array([0, 0, 0], np.float32)
+    if up is None:
+      up = np.array([0, 1, 0], np.float32)
+
+    eye = np.array(eye).astype(np.float32)
+    at = np.array(at).astype(np.float32)
+    z_aixs = -normalize(at - eye) # look forward
+    x_aixs = normalize(np.cross(up, z_aixs)) # look right
+    y_axis = np.cross(z_aixs, x_aixs) # look up
+
+    R = np.stack((x_aixs, y_axis, z_aixs))#, axis = 0) # 3 x 3
+    transformed_vertices = vertices - eye # translation
+    transformed_vertices = transformed_vertices.dot(R.T) # rotation
+    return transformed_vertices
+
+## --------- 3d-2d project. from camera space to image plane
+# generally, image plane only keeps x,y channels, here reserve z channel for calculating z-buffer.
+def orthographic_project(vertices):
+    ''' scaled orthographic projection(just delete z)
+        assumes: variations in depth over the object is small relative to the mean distance from camera to object
+        x -> x*f/z, y -> x*f/z, z -> f.
+        for point i,j. zi~=zj. so just delete z
+        ** often used in face
+        Homo: P = [[1,0,0,0], [0,1,0,0], [0,0,1,0]]
+    Args:
+        vertices: [nver, 3]
+    Returns:
+        projected_vertices: [nver, 3] if isKeepZ=True. [nver, 2] if isKeepZ=False.
+    '''
+    return vertices.copy()
+
+def perspective_project(vertices, fovy, aspect_ratio = 1., near = 0.1, far = 1000.):
+    ''' perspective projection.
+    Args:
+        vertices: [nver, 3]
+        fovy: vertical angular field of view. degree.
+        aspect_ratio : width / height of field of view
+        near : depth of near clipping plane
+        far : depth of far clipping plane
+    Returns:
+        projected_vertices: [nver, 3] 
+    '''
+    fovy = np.deg2rad(fovy)
+    top = near*np.tan(fovy)
+    bottom = -top 
+    right = top*aspect_ratio
+    left = -right
+
+    #-- homo
+    P = np.array([[near/right, 0, 0, 0],
+                 [0, near/top, 0, 0],
+                 [0, 0, -(far+near)/(far-near), -2*far*near/(far-near)],
+                 [0, 0, -1, 0]])
+    vertices_homo = np.hstack((vertices, np.ones((vertices.shape[0], 1)))) # [nver, 4]
+    projected_vertices = vertices_homo.dot(P.T)
+    projected_vertices = projected_vertices/projected_vertices[:,3:]
+    projected_vertices = projected_vertices[:,:3]
+    projected_vertices[:,2] = -projected_vertices[:,2]
+
+    #-- non homo. only fovy
+    # projected_vertices = vertices.copy()
+    # projected_vertices[:,0] = -(near/right)*vertices[:,0]/vertices[:,2]
+    # projected_vertices[:,1] = -(near/top)*vertices[:,1]/vertices[:,2]
+    return projected_vertices
+
+
+def to_image(vertices, h, w, is_perspective = False):
+    ''' change vertices to image coord system
+    3d system: XYZ, center(0, 0, 0)
+    2d image: x(u), y(v). center(w/2, h/2), flip y-axis. 
+    Args:
+        vertices: [nver, 3]
+        h: height of the rendering
+        w : width of the rendering
+    Returns:
+        projected_vertices: [nver, 3]  
+    '''
+    image_vertices = vertices.copy()
+    if is_perspective:
+        # if perspective, the projected vertices are normalized to [-1, 1]. so change it to image size first.
+        image_vertices[:,0] = image_vertices[:,0]*w/2
+        image_vertices[:,1] = image_vertices[:,1]*h/2
+    # move to center of image
+    image_vertices[:,0] = image_vertices[:,0] + w/2
+    image_vertices[:,1] = image_vertices[:,1] + h/2
+    # flip vertices along y-axis.
+    image_vertices[:,1] = h - image_vertices[:,1] - 1
+    return image_vertices
+
+
+#### -------------------------------------------2. estimate transform matrix from correspondences.
+def estimate_affine_matrix_3d23d(X, Y):
+    ''' Using least-squares solution 
+    Args:
+        X: [n, 3]. 3d points(fixed)
+        Y: [n, 3]. corresponding 3d points(moving). Y = PX
+    Returns:
+        P_Affine: (3, 4). Affine camera matrix (the third row is [0, 0, 0, 1]).
+    '''
+    X_homo = np.hstack((X, np.ones([X.shape[1],1]))) #n x 4
+    P = np.linalg.lstsq(X_homo, Y)[0].T # Affine matrix. 3 x 4
+    return P
+    
+def estimate_affine_matrix_3d22d(X, x):
+    ''' Using Golden Standard Algorithm for estimating an affine camera
+        matrix P from world to image correspondences.
+        See Alg.7.2. in MVGCV 
+        Code Ref: https://github.com/patrikhuber/eos/blob/master/include/eos/fitting/affine_camera_estimation.hpp
+        x_homo = X_homo.dot(P_Affine)
+    Args:
+        X: [n, 3]. corresponding 3d points(fixed)
+        x: [n, 2]. n>=4. 2d points(moving). x = PX
+    Returns:
+        P_Affine: [3, 4]. Affine camera matrix
+    '''
+    X = X.T; x = x.T
+    assert(x.shape[1] == X.shape[1])
+    n = x.shape[1]
+    assert(n >= 4)
+
+    #--- 1. normalization
+    # 2d points
+    mean = np.mean(x, 1) # (2,)
+    x = x - np.tile(mean[:, np.newaxis], [1, n])
+    average_norm = np.mean(np.sqrt(np.sum(x**2, 0)))
+    scale = np.sqrt(2) / average_norm
+    x = scale * x
+
+    T = np.zeros((3,3), dtype = np.float32)
+    T[0, 0] = T[1, 1] = scale
+    T[:2, 2] = -mean*scale
+    T[2, 2] = 1
+
+    # 3d points
+    X_homo = np.vstack((X, np.ones((1, n))))
+    mean = np.mean(X, 1) # (3,)
+    X = X - np.tile(mean[:, np.newaxis], [1, n])
+    m = X_homo[:3,:] - X
+    average_norm = np.mean(np.sqrt(np.sum(X**2, 0)))
+    scale = np.sqrt(3) / average_norm
+    X = scale * X
+
+    U = np.zeros((4,4), dtype = np.float32)
+    U[0, 0] = U[1, 1] = U[2, 2] = scale
+    U[:3, 3] = -mean*scale
+    U[3, 3] = 1
+
+    # --- 2. equations
+    A = np.zeros((n*2, 8), dtype = np.float32);
+    X_homo = np.vstack((X, np.ones((1, n)))).T
+    A[:n, :4] = X_homo
+    A[n:, 4:] = X_homo
+    b = np.reshape(x, [-1, 1])
+ 
+    # --- 3. solution
+    p_8 = np.linalg.pinv(A).dot(b)
+    P = np.zeros((3, 4), dtype = np.float32)
+    P[0, :] = p_8[:4, 0]
+    P[1, :] = p_8[4:, 0]
+    P[-1, -1] = 1
+
+    # --- 4. denormalization
+    P_Affine = np.linalg.inv(T).dot(P.dot(U))
+    return P_Affine
+
+def P2sRt(P):
+    ''' decompositing camera matrix P
+    Args: 
+        P: (3, 4). Affine Camera Matrix.
+    Returns:
+        s: scale factor.
+        R: (3, 3). rotation matrix.
+        t: (3,). translation. 
+    '''
+    t = P[:, 3]
+    R1 = P[0:1, :3]
+    R2 = P[1:2, :3]
+    s = (np.linalg.norm(R1) + np.linalg.norm(R2))/2.0
+    r1 = R1/np.linalg.norm(R1)
+    r2 = R2/np.linalg.norm(R2)
+    r3 = np.cross(r1, r2)
+
+    R = np.concatenate((r1, r2, r3), 0)
+    return s, R, t
+
+#Ref: https://www.learnopencv.com/rotation-matrix-to-euler-angles/
+def isRotationMatrix(R):
+    ''' checks if a matrix is a valid rotation matrix(whether orthogonal or not)
+    '''
+    Rt = np.transpose(R)
+    shouldBeIdentity = np.dot(Rt, R)
+    I = np.identity(3, dtype = R.dtype)
+    n = np.linalg.norm(I - shouldBeIdentity)
+    return n < 1e-6
+
+def matrix2angle(R):
+    ''' get three Euler angles from Rotation Matrix
+    Args:
+        R: (3,3). rotation matrix
+    Returns:
+        x: pitch
+        y: yaw
+        z: roll
+    '''
+    assert(isRotationMatrix)
+    sy = math.sqrt(R[0,0] * R[0,0] +  R[1,0] * R[1,0])
+     
+    singular = sy < 1e-6
+ 
+    if  not singular :
+        x = math.atan2(R[2,1] , R[2,2])
+        y = math.atan2(-R[2,0], sy)
+        z = math.atan2(R[1,0], R[0,0])
+    else :
+        x = math.atan2(-R[1,2], R[1,1])
+        y = math.atan2(-R[2,0], sy)
+        z = 0
+
+    # rx, ry, rz = np.rad2deg(x), np.rad2deg(y), np.rad2deg(z)
+    rx, ry, rz = x*180/np.pi, y*180/np.pi, z*180/np.pi
+    return rx, ry, rz
+
+# def matrix2angle(R):
+#     ''' compute three Euler angles from a Rotation Matrix. Ref: http://www.gregslabaugh.net/publications/euler.pdf
+#     Args:
+#         R: (3,3). rotation matrix
+#     Returns:
+#         x: yaw
+#         y: pitch
+#         z: roll
+#     '''
+#     # assert(isRotationMatrix(R))
+
+#     if R[2,0] !=1 or R[2,0] != -1:
+#         x = math.asin(R[2,0])
+#         y = math.atan2(R[2,1]/cos(x), R[2,2]/cos(x))
+#         z = math.atan2(R[1,0]/cos(x), R[0,0]/cos(x))
+        
+#     else:# Gimbal lock
+#         z = 0 #can be anything
+#         if R[2,0] == -1:
+#             x = np.pi/2
+#             y = z + math.atan2(R[0,1], R[0,2])
+#         else:
+#             x = -np.pi/2
+#             y = -z + math.atan2(-R[0,1], -R[0,2])
+
+#     return x, y, z
\ No newline at end of file
diff --git a/insightface/thirdparty/face3d/mesh_numpy/vis.py b/insightface/thirdparty/face3d/mesh_numpy/vis.py
new file mode 100644
index 0000000000000000000000000000000000000000..9db972f2c463a310fa4abde16d6a7baf02797c90
--- /dev/null
+++ b/insightface/thirdparty/face3d/mesh_numpy/vis.py
@@ -0,0 +1,24 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import matplotlib.pyplot as plt
+from skimage import measure
+from mpl_toolkits.mplot3d import Axes3D
+
+def plot_mesh(vertices, triangles, subplot = [1,1,1], title = 'mesh', el = 90, az = -90, lwdt=.1, dist = 6, color = "grey"):
+	'''
+	plot the mesh 
+	Args:
+		vertices: [nver, 3]
+		triangles: [ntri, 3]
+	'''
+	ax = plt.subplot(subplot[0], subplot[1], subplot[2], projection = '3d')
+	ax.plot_trisurf(vertices[:, 0], vertices[:, 1], vertices[:, 2], triangles = triangles, lw = lwdt, color = color, alpha = 1)
+	ax.axis("off")
+	ax.view_init(elev = el, azim = az)
+	ax.dist = dist
+	plt.title(title)
+
+### -------------- Todo: use vtk to visualize mesh? or visvis? or VisPy?
diff --git a/insightface/thirdparty/face3d/morphable_model/__init__.py b/insightface/thirdparty/face3d/morphable_model/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..19fc6a60231fc08fa728059bfc88db82703b0475
--- /dev/null
+++ b/insightface/thirdparty/face3d/morphable_model/__init__.py
@@ -0,0 +1,7 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+from .. import mesh
+from .morphabel_model import MorphabelModel
+from . import load
\ No newline at end of file
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diff --git a/insightface/thirdparty/face3d/morphable_model/fit.py b/insightface/thirdparty/face3d/morphable_model/fit.py
new file mode 100644
index 0000000000000000000000000000000000000000..480532c57c1c2824e0652be29d719a22b0ee871a
--- /dev/null
+++ b/insightface/thirdparty/face3d/morphable_model/fit.py
@@ -0,0 +1,272 @@
+'''
+Estimating parameters about vertices: shape para, exp para, pose para(s, R, t)
+'''
+import numpy as np
+from .. import mesh
+
+''' TODO: a clear document. 
+Given: image_points, 3D Model, Camera Matrix(s, R, t2d)
+Estimate: shape parameters, expression parameters
+
+Inference: 
+
+    projected_vertices = s*P*R(mu + shape + exp) + t2d  --> image_points
+    s*P*R*shape + s*P*R(mu + exp) + t2d --> image_poitns
+
+    # Define:
+    X = vertices
+    x_hat = projected_vertices
+    x = image_points
+    A = s*P*R
+    b = s*P*R(mu + exp) + t2d
+    ==>
+    x_hat = A*shape + b  (2 x n)
+
+    A*shape (2 x n)
+    shape = reshape(shapePC * sp) (3 x n)
+    shapePC*sp : (3n x 1)
+
+    * flatten:
+    x_hat_flatten = A*shape + b_flatten  (2n x 1)
+    A*shape (2n x 1)
+    --> A*shapePC (2n x 199)  sp: 199 x 1
+    
+    # Define:
+    pc_2d = A* reshape(shapePC)
+    pc_2d_flatten = flatten(pc_2d) (2n x 199)
+
+    =====>
+    x_hat_flatten = pc_2d_flatten * sp + b_flatten ---> x_flatten (2n x 1)
+
+    Goals:
+    (ignore flatten, pc_2d-->pc)
+    min E = || x_hat - x || + lambda*sum(sp/sigma)^2
+          = || pc * sp + b - x || + lambda*sum(sp/sigma)^2
+
+    Solve:
+    d(E)/d(sp) = 0
+    2 * pc' * (pc * sp + b - x) + 2 * lambda * sp / (sigma' * sigma) = 0
+
+    Get:
+    (pc' * pc + lambda / (sigma'* sigma)) * sp  = pc' * (x - b)
+
+'''
+
+def estimate_shape(x, shapeMU, shapePC, shapeEV, expression, s, R, t2d, lamb = 3000):
+    '''
+    Args:
+        x: (2, n). image points (to be fitted)
+        shapeMU: (3n, 1)
+        shapePC: (3n, n_sp)
+        shapeEV: (n_sp, 1)
+        expression: (3, n)
+        s: scale
+        R: (3, 3). rotation matrix
+        t2d: (2,). 2d translation
+        lambda: regulation coefficient
+
+    Returns:
+        shape_para: (n_sp, 1) shape parameters(coefficients)
+    '''
+    x = x.copy()
+    assert(shapeMU.shape[0] == shapePC.shape[0])
+    assert(shapeMU.shape[0] == x.shape[1]*3)
+
+    dof = shapePC.shape[1]
+
+    n = x.shape[1]
+    sigma = shapeEV
+    t2d = np.array(t2d)
+    P = np.array([[1, 0, 0], [0, 1, 0]], dtype = np.float32)
+    A = s*P.dot(R)
+
+    # --- calc pc
+    pc_3d = np.resize(shapePC.T, [dof, n, 3]) # 199 x n x 3
+    pc_3d = np.reshape(pc_3d, [dof*n, 3]) 
+    pc_2d = pc_3d.dot(A.T.copy()) # 199 x n x 2
+    
+    pc = np.reshape(pc_2d, [dof, -1]).T # 2n x 199
+
+    # --- calc b
+    # shapeMU
+    mu_3d = np.resize(shapeMU, [n, 3]).T # 3 x n
+    # expression
+    exp_3d = expression
+    # 
+    b = A.dot(mu_3d + exp_3d) + np.tile(t2d[:, np.newaxis], [1, n]) # 2 x n
+    b = np.reshape(b.T, [-1, 1]) # 2n x 1
+
+    # --- solve
+    equation_left = np.dot(pc.T, pc) + lamb * np.diagflat(1/sigma**2)
+    x = np.reshape(x.T, [-1, 1])
+    equation_right = np.dot(pc.T, x - b)
+
+    shape_para = np.dot(np.linalg.inv(equation_left), equation_right)
+
+    return shape_para
+
+def estimate_expression(x, shapeMU, expPC, expEV, shape, s, R, t2d, lamb = 2000):
+    '''
+    Args:
+        x: (2, n). image points (to be fitted)
+        shapeMU: (3n, 1)
+        expPC: (3n, n_ep)
+        expEV: (n_ep, 1)
+        shape: (3, n)
+        s: scale
+        R: (3, 3). rotation matrix
+        t2d: (2,). 2d translation
+        lambda: regulation coefficient
+
+    Returns:
+        exp_para: (n_ep, 1) shape parameters(coefficients)
+    '''
+    x = x.copy()
+    assert(shapeMU.shape[0] == expPC.shape[0])
+    assert(shapeMU.shape[0] == x.shape[1]*3)
+
+    dof = expPC.shape[1]
+
+    n = x.shape[1]
+    sigma = expEV
+    t2d = np.array(t2d)
+    P = np.array([[1, 0, 0], [0, 1, 0]], dtype = np.float32)
+    A = s*P.dot(R)
+
+    # --- calc pc
+    pc_3d = np.resize(expPC.T, [dof, n, 3]) 
+    pc_3d = np.reshape(pc_3d, [dof*n, 3]) 
+    pc_2d = pc_3d.dot(A.T) 
+    pc = np.reshape(pc_2d, [dof, -1]).T # 2n x 29
+
+    # --- calc b
+    # shapeMU
+    mu_3d = np.resize(shapeMU, [n, 3]).T # 3 x n
+    # expression
+    shape_3d = shape
+    # 
+    b = A.dot(mu_3d + shape_3d) + np.tile(t2d[:, np.newaxis], [1, n]) # 2 x n
+    b = np.reshape(b.T, [-1, 1]) # 2n x 1
+
+    # --- solve
+    equation_left = np.dot(pc.T, pc) + lamb * np.diagflat(1/sigma**2)
+    x = np.reshape(x.T, [-1, 1])
+    equation_right = np.dot(pc.T, x - b)
+
+    exp_para = np.dot(np.linalg.inv(equation_left), equation_right)
+    
+    return exp_para
+
+
+# ---------------- fit 
+def fit_points(x, X_ind, model, n_sp, n_ep, max_iter = 4):
+    '''
+    Args:
+        x: (n, 2) image points
+        X_ind: (n,) corresponding Model vertex indices
+        model: 3DMM
+        max_iter: iteration
+    Returns:
+        sp: (n_sp, 1). shape parameters
+        ep: (n_ep, 1). exp parameters
+        s, R, t
+    '''
+    x = x.copy().T
+
+    #-- init
+    sp = np.zeros((n_sp, 1), dtype = np.float32)
+    ep = np.zeros((n_ep, 1), dtype = np.float32)
+
+    #-------------------- estimate
+    X_ind_all = np.tile(X_ind[np.newaxis, :], [3, 1])*3
+    X_ind_all[1, :] += 1
+    X_ind_all[2, :] += 2
+    valid_ind = X_ind_all.flatten('F')
+
+    shapeMU = model['shapeMU'][valid_ind, :]
+    shapePC = model['shapePC'][valid_ind, :n_sp]
+    expPC = model['expPC'][valid_ind, :n_ep]
+
+    for i in range(max_iter):
+        X = shapeMU + shapePC.dot(sp) + expPC.dot(ep)
+        X = np.reshape(X, [int(len(X)/3), 3]).T
+        
+        #----- estimate pose
+        P = mesh.transform.estimate_affine_matrix_3d22d(X.T, x.T)
+        s, R, t = mesh.transform.P2sRt(P)
+        rx, ry, rz = mesh.transform.matrix2angle(R)
+        #print('Iter:{}; estimated pose: s {}, rx {}, ry {}, rz {}, t1 {}, t2 {}'.format(i, s, rx, ry, rz, t[0], t[1]))
+
+        #----- estimate shape
+        # expression
+        shape = shapePC.dot(sp)
+        shape = np.reshape(shape, [int(len(shape)/3), 3]).T
+        ep = estimate_expression(x, shapeMU, expPC, model['expEV'][:n_ep,:], shape, s, R, t[:2], lamb = 20)
+
+        # shape
+        expression = expPC.dot(ep)
+        expression = np.reshape(expression, [int(len(expression)/3), 3]).T
+        if i == 0 :
+            sp = estimate_shape(x, shapeMU, shapePC, model['shapeEV'][:n_sp,:], expression, s, R, t[:2], lamb = 40)
+
+    return sp, ep, s, R, t
+
+
+# ---------------- fitting process
+def fit_points_for_show(x, X_ind, model, n_sp, n_ep, max_iter = 4):
+    '''
+    Args:
+        x: (n, 2) image points
+        X_ind: (n,) corresponding Model vertex indices
+        model: 3DMM
+        max_iter: iteration
+    Returns:
+        sp: (n_sp, 1). shape parameters
+        ep: (n_ep, 1). exp parameters
+        s, R, t
+    '''
+    x = x.copy().T
+
+    #-- init
+    sp = np.zeros((n_sp, 1), dtype = np.float32)
+    ep = np.zeros((n_ep, 1), dtype = np.float32)
+
+    #-------------------- estimate
+    X_ind_all = np.tile(X_ind[np.newaxis, :], [3, 1])*3
+    X_ind_all[1, :] += 1
+    X_ind_all[2, :] += 2
+    valid_ind = X_ind_all.flatten('F')
+
+    shapeMU = model['shapeMU'][valid_ind, :]
+    shapePC = model['shapePC'][valid_ind, :n_sp]
+    expPC = model['expPC'][valid_ind, :n_ep]
+
+    s = 4e-04
+    R = mesh.transform.angle2matrix([0, 0, 0])
+    t = [0, 0, 0]
+    lsp = []; lep = []; ls = []; lR = []; lt = []
+    for i in range(max_iter):
+        X = shapeMU + shapePC.dot(sp) + expPC.dot(ep)
+        X = np.reshape(X, [int(len(X)/3), 3]).T
+        lsp.append(sp); lep.append(ep); ls.append(s), lR.append(R), lt.append(t)
+        
+        #----- estimate pose
+        P = mesh.transform.estimate_affine_matrix_3d22d(X.T, x.T)
+        s, R, t = mesh.transform.P2sRt(P)
+        lsp.append(sp); lep.append(ep); ls.append(s), lR.append(R), lt.append(t)
+
+        #----- estimate shape
+        # expression
+        shape = shapePC.dot(sp)
+        shape = np.reshape(shape, [int(len(shape)/3), 3]).T
+        ep = estimate_expression(x, shapeMU, expPC, model['expEV'][:n_ep,:], shape, s, R, t[:2], lamb = 20)
+        lsp.append(sp); lep.append(ep); ls.append(s), lR.append(R), lt.append(t)
+
+        # shape
+        expression = expPC.dot(ep)
+        expression = np.reshape(expression, [int(len(expression)/3), 3]).T
+        sp = estimate_shape(x, shapeMU, shapePC, model['shapeEV'][:n_sp,:], expression, s, R, t[:2], lamb = 40)
+
+    # print('ls', ls)
+    # print('lR', lR)
+    return np.array(lsp), np.array(lep), np.array(ls), np.array(lR), np.array(lt)
diff --git a/insightface/thirdparty/face3d/morphable_model/load.py b/insightface/thirdparty/face3d/morphable_model/load.py
new file mode 100644
index 0000000000000000000000000000000000000000..0b80665bde45447139ec3a4c066a9677ce8322b0
--- /dev/null
+++ b/insightface/thirdparty/face3d/morphable_model/load.py
@@ -0,0 +1,110 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import scipy.io as sio
+
+### ---------------------------------  load BFM data
+def load_BFM(model_path):
+    ''' load BFM 3DMM model
+    Args:
+        model_path: path to BFM model. 
+    Returns:
+        model: (nver = 53215, ntri = 105840). nver: number of vertices. ntri: number of triangles.
+            'shapeMU': [3*nver, 1]
+            'shapePC': [3*nver, 199]
+            'shapeEV': [199, 1]
+            'expMU': [3*nver, 1]
+            'expPC': [3*nver, 29]
+            'expEV': [29, 1]
+            'texMU': [3*nver, 1]
+            'texPC': [3*nver, 199]
+            'texEV': [199, 1]
+            'tri': [ntri, 3] (start from 1, should sub 1 in python and c++)
+            'tri_mouth': [114, 3] (start from 1, as a supplement to mouth triangles)
+            'kpt_ind': [68,] (start from 1)
+    PS:
+        You can change codes according to your own saved data.
+        Just make sure the model has corresponding attributes.
+    '''
+    C = sio.loadmat(model_path)
+    model = C['model']
+    model = model[0,0]
+
+    # change dtype from double(np.float64) to np.float32, 
+    # since big matrix process(espetially matrix dot) is too slow in python.
+    model['shapeMU'] = (model['shapeMU'] + model['expMU']).astype(np.float32)
+    model['shapePC'] = model['shapePC'].astype(np.float32)
+    model['shapeEV'] = model['shapeEV'].astype(np.float32)
+    model['expEV'] = model['expEV'].astype(np.float32)
+    model['expPC'] = model['expPC'].astype(np.float32)
+
+    # matlab start with 1. change to 0 in python.
+    model['tri'] = model['tri'].T.copy(order = 'C').astype(np.int32) - 1
+    model['tri_mouth'] = model['tri_mouth'].T.copy(order = 'C').astype(np.int32) - 1
+    
+    # kpt ind
+    model['kpt_ind'] = (np.squeeze(model['kpt_ind']) - 1).astype(np.int32)
+
+    return model
+
+def load_BFM_info(path = 'BFM_info.mat'):
+    ''' load 3DMM model extra information
+    Args:
+        path: path to BFM info. 
+    Returns:  
+        model_info:
+            'symlist': 2 x 26720
+            'symlist_tri': 2 x 52937
+            'segbin': 4 x n (0: nose, 1: eye, 2: mouth, 3: cheek)
+            'segbin_tri': 4 x ntri 
+            'face_contour': 1 x 28
+            'face_contour_line': 1 x 512
+            'face_contour_front': 1 x 28
+            'face_contour_front_line': 1 x 512
+            'nose_hole': 1 x 142
+            'nose_hole_right': 1 x 71
+            'nose_hole_left': 1 x 71
+            'parallel': 17 x 1 cell
+            'parallel_face_contour': 28 x 1 cell
+            'uv_coords': n x 2
+    '''
+    C = sio.loadmat(path)
+    model_info = C['model_info']
+    model_info = model_info[0,0]
+    return model_info
+
+def load_uv_coords(path = 'BFM_UV.mat'):
+    ''' load uv coords of BFM
+    Args:
+        path: path to data.
+    Returns:  
+        uv_coords: [nver, 2]. range: 0-1
+    '''
+    C = sio.loadmat(path)
+    uv_coords = C['UV'].copy(order = 'C')
+    return uv_coords
+
+def load_pncc_code(path = 'pncc_code.mat'):
+    ''' load pncc code of BFM
+    PNCC code: Defined in 'Face Alignment Across Large Poses: A 3D Solution Xiangyu'
+    download at http://www.cbsr.ia.ac.cn/users/xiangyuzhu/projects/3DDFA/main.htm.
+    Args:
+        path: path to data.
+    Returns:  
+        pncc_code: [nver, 3]
+    '''
+    C = sio.loadmat(path)
+    pncc_code = C['vertex_code'].T
+    return pncc_code
+
+## 
+def get_organ_ind(model_info):
+    ''' get nose, eye, mouth index
+    '''
+    valid_bin = model_info['segbin'].astype(bool)
+    organ_ind = np.nonzero(valid_bin[0,:])[0]
+    for i in range(1, valid_bin.shape[0] - 1):
+        organ_ind = np.union1d(organ_ind, np.nonzero(valid_bin[i,:])[0])
+    return organ_ind.astype(np.int32)
diff --git a/insightface/thirdparty/face3d/morphable_model/morphabel_model.py b/insightface/thirdparty/face3d/morphable_model/morphabel_model.py
new file mode 100644
index 0000000000000000000000000000000000000000..abd677dacc76b93ee253114045b43c66a66bdc99
--- /dev/null
+++ b/insightface/thirdparty/face3d/morphable_model/morphabel_model.py
@@ -0,0 +1,143 @@
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import numpy as np
+import scipy.io as sio
+from .. import mesh
+from . import fit
+from . import load
+
+class  MorphabelModel(object):
+    """docstring for  MorphabelModel
+    model: nver: number of vertices. ntri: number of triangles. *: must have. ~: can generate ones array for place holder.
+            'shapeMU': [3*nver, 1]. *
+            'shapePC': [3*nver, n_shape_para]. *
+            'shapeEV': [n_shape_para, 1]. ~
+            'expMU': [3*nver, 1]. ~ 
+            'expPC': [3*nver, n_exp_para]. ~
+            'expEV': [n_exp_para, 1]. ~
+            'texMU': [3*nver, 1]. ~
+            'texPC': [3*nver, n_tex_para]. ~
+            'texEV': [n_tex_para, 1]. ~
+            'tri': [ntri, 3] (start from 1, should sub 1 in python and c++). *
+            'tri_mouth': [114, 3] (start from 1, as a supplement to mouth triangles). ~
+            'kpt_ind': [68,] (start from 1). ~
+    """
+    def __init__(self, model_path, model_type = 'BFM'):
+        super( MorphabelModel, self).__init__()
+        if model_type=='BFM':
+            self.model = load.load_BFM(model_path)
+        else:
+            print('sorry, not support other 3DMM model now')
+            exit()
+            
+        # fixed attributes
+        self.nver = self.model['shapePC'].shape[0]/3
+        self.ntri = self.model['tri'].shape[0]
+        self.n_shape_para = self.model['shapePC'].shape[1]
+        self.n_exp_para = self.model['expPC'].shape[1]
+        self.n_tex_para = self.model['texMU'].shape[1]
+        
+        self.kpt_ind = self.model['kpt_ind']
+        self.triangles = self.model['tri']
+        self.full_triangles = np.vstack((self.model['tri'], self.model['tri_mouth']))
+
+    # ------------------------------------- shape: represented with mesh(vertices & triangles(fixed))
+    def get_shape_para(self, type = 'random'):
+        if type == 'zero':
+            sp = np.random.zeros((self.n_shape_para, 1))
+        elif type == 'random':
+            sp = np.random.rand(self.n_shape_para, 1)*1e04
+        return sp
+
+    def get_exp_para(self, type = 'random'):
+        if type == 'zero':
+            ep = np.zeros((self.n_exp_para, 1))
+        elif type == 'random':
+            ep = -1.5 + 3*np.random.random([self.n_exp_para, 1])
+            ep[6:, 0] = 0
+
+        return ep 
+
+    def generate_vertices(self, shape_para, exp_para):
+        '''
+        Args:
+            shape_para: (n_shape_para, 1)
+            exp_para: (n_exp_para, 1) 
+        Returns:
+            vertices: (nver, 3)
+        '''
+        vertices = self.model['shapeMU'] + self.model['shapePC'].dot(shape_para) + self.model['expPC'].dot(exp_para)
+        vertices = np.reshape(vertices, [int(3), int(len(vertices)/3)], 'F').T
+
+        return vertices
+
+    # -------------------------------------- texture: here represented with rgb value(colors) in vertices.
+    def get_tex_para(self, type = 'random'):
+        if type == 'zero':
+            tp = np.zeros((self.n_tex_para, 1))
+        elif type == 'random':
+            tp = np.random.rand(self.n_tex_para, 1)
+        return tp
+
+    def generate_colors(self, tex_para):
+        '''
+        Args:
+            tex_para: (n_tex_para, 1)
+        Returns:
+            colors: (nver, 3)
+        '''
+        colors = self.model['texMU'] + self.model['texPC'].dot(tex_para*self.model['texEV'])
+        colors = np.reshape(colors, [int(3), int(len(colors)/3)], 'F').T/255.  
+        
+        return colors
+
+
+    # ------------------------------------------- transformation
+    # -------------  transform
+    def rotate(self, vertices, angles):
+        ''' rotate face
+        Args:
+            vertices: [nver, 3]
+            angles: [3] x, y, z rotation angle(degree)
+            x: pitch. positive for looking down 
+            y: yaw. positive for looking left
+            z: roll. positive for tilting head right
+        Returns:
+            vertices: rotated vertices
+        '''
+        return mesh.transform.rotate(vertices, angles)
+
+    def transform(self, vertices, s, angles, t3d):
+        R = mesh.transform.angle2matrix(angles)
+        return mesh.transform.similarity_transform(vertices, s, R, t3d)
+
+    def transform_3ddfa(self, vertices, s, angles, t3d): # only used for processing 300W_LP data
+        R = mesh.transform.angle2matrix_3ddfa(angles)
+        return mesh.transform.similarity_transform(vertices, s, R, t3d)
+
+    # --------------------------------------------------- fitting
+    def fit(self, x, X_ind, max_iter = 4, isShow = False):
+        ''' fit 3dmm & pose parameters
+        Args:
+            x: (n, 2) image points
+            X_ind: (n,) corresponding Model vertex indices
+            max_iter: iteration
+            isShow: whether to reserve middle results for show
+        Returns:
+            fitted_sp: (n_sp, 1). shape parameters
+            fitted_ep: (n_ep, 1). exp parameters
+            s, angles, t
+        '''
+        if isShow:
+            fitted_sp, fitted_ep, s, R, t = fit.fit_points_for_show(x, X_ind, self.model, n_sp = self.n_shape_para, n_ep = self.n_exp_para, max_iter = max_iter)
+            angles = np.zeros((R.shape[0], 3))
+            for i in range(R.shape[0]):
+                angles[i] = mesh.transform.matrix2angle(R[i])
+        else:
+            fitted_sp, fitted_ep, s, R, t = fit.fit_points(x, X_ind, self.model, n_sp = self.n_shape_para, n_ep = self.n_exp_para, max_iter = max_iter)
+            angles = mesh.transform.matrix2angle(R)
+        return fitted_sp, fitted_ep, s, angles, t
+
+
diff --git a/insightface/utils/__init__.py b/insightface/utils/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..d3ccb4e652e5e09aa7dba1d70b1d59ed26458fff
--- /dev/null
+++ b/insightface/utils/__init__.py
@@ -0,0 +1,18 @@
+from __future__ import absolute_import
+
+#from . import bbox
+#from . import viz
+#from . import random
+#from . import metrics
+#from . import parallel
+
+from .storage import download, ensure_available, download_onnx
+from .filesystem import get_model_dir
+from .filesystem import makedirs, try_import_dali
+from .constant import *
+#from .bbox import bbox_iou
+#from .block import recursive_visit, set_lr_mult, freeze_bn
+#from .lr_scheduler import LRSequential, LRScheduler
+#from .plot_history import TrainingHistory
+#from .export_helper import export_block
+#from .sync_loader_helper import split_data, split_and_load
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diff --git a/insightface/utils/constant.py b/insightface/utils/constant.py
new file mode 100644
index 0000000000000000000000000000000000000000..8860ff077ae7227235591edfc84c0cdc227a6432
--- /dev/null
+++ b/insightface/utils/constant.py
@@ -0,0 +1,3 @@
+
+DEFAULT_MP_NAME = 'buffalo_l'
+
diff --git a/insightface/utils/download.py b/insightface/utils/download.py
new file mode 100644
index 0000000000000000000000000000000000000000..5cda84dede45b81dcd99161d87792b6c409fa279
--- /dev/null
+++ b/insightface/utils/download.py
@@ -0,0 +1,95 @@
+"""
+This code file mainly comes from https://github.com/dmlc/gluon-cv/blob/master/gluoncv/utils/download.py
+"""
+import os
+import hashlib
+import requests
+from tqdm import tqdm
+
+
+def check_sha1(filename, sha1_hash):
+    """Check whether the sha1 hash of the file content matches the expected hash.
+    Parameters
+    ----------
+    filename : str
+        Path to the file.
+    sha1_hash : str
+        Expected sha1 hash in hexadecimal digits.
+    Returns
+    -------
+    bool
+        Whether the file content matches the expected hash.
+    """
+    sha1 = hashlib.sha1()
+    with open(filename, 'rb') as f:
+        while True:
+            data = f.read(1048576)
+            if not data:
+                break
+            sha1.update(data)
+
+    sha1_file = sha1.hexdigest()
+    l = min(len(sha1_file), len(sha1_hash))
+    return sha1.hexdigest()[0:l] == sha1_hash[0:l]
+
+
+def download_file(url, path=None, overwrite=False, sha1_hash=None):
+    """Download an given URL
+    Parameters
+    ----------
+    url : str
+        URL to download
+    path : str, optional
+        Destination path to store downloaded file. By default stores to the
+        current directory with same name as in url.
+    overwrite : bool, optional
+        Whether to overwrite destination file if already exists.
+    sha1_hash : str, optional
+        Expected sha1 hash in hexadecimal digits. Will ignore existing file when hash is specified
+        but doesn't match.
+    Returns
+    -------
+    str
+        The file path of the downloaded file.
+    """
+    if path is None:
+        fname = url.split('/')[-1]
+    else:
+        path = os.path.expanduser(path)
+        if os.path.isdir(path):
+            fname = os.path.join(path, url.split('/')[-1])
+        else:
+            fname = path
+
+    if overwrite or not os.path.exists(fname) or (
+            sha1_hash and not check_sha1(fname, sha1_hash)):
+        dirname = os.path.dirname(os.path.abspath(os.path.expanduser(fname)))
+        if not os.path.exists(dirname):
+            os.makedirs(dirname)
+
+        print('Downloading %s from %s...' % (fname, url))
+        r = requests.get(url, stream=True)
+        if r.status_code != 200:
+            raise RuntimeError("Failed downloading url %s" % url)
+        total_length = r.headers.get('content-length')
+        with open(fname, 'wb') as f:
+            if total_length is None:  # no content length header
+                for chunk in r.iter_content(chunk_size=1024):
+                    if chunk:  # filter out keep-alive new chunks
+                        f.write(chunk)
+            else:
+                total_length = int(total_length)
+                for chunk in tqdm(r.iter_content(chunk_size=1024),
+                                  total=int(total_length / 1024. + 0.5),
+                                  unit='KB',
+                                  unit_scale=False,
+                                  dynamic_ncols=True):
+                    f.write(chunk)
+
+        if sha1_hash and not check_sha1(fname, sha1_hash):
+            raise UserWarning('File {} is downloaded but the content hash does not match. ' \
+                              'The repo may be outdated or download may be incomplete. ' \
+                              'If the "repo_url" is overridden, consider switching to ' \
+                              'the default repo.'.format(fname))
+
+    return fname
diff --git a/insightface/utils/face_align.py b/insightface/utils/face_align.py
new file mode 100644
index 0000000000000000000000000000000000000000..226628b39cf743947df230feffbb97bf5c585e1d
--- /dev/null
+++ b/insightface/utils/face_align.py
@@ -0,0 +1,103 @@
+import cv2
+import numpy as np
+from skimage import transform as trans
+
+
+arcface_dst = np.array(
+    [[38.2946, 51.6963], [73.5318, 51.5014], [56.0252, 71.7366],
+     [41.5493, 92.3655], [70.7299, 92.2041]],
+    dtype=np.float32)
+
+def estimate_norm(lmk, image_size=112,mode='arcface'):
+    assert lmk.shape == (5, 2)
+    assert image_size%112==0 or image_size%128==0
+    if image_size%112==0:
+        ratio = float(image_size)/112.0
+        diff_x = 0
+    else:
+        ratio = float(image_size)/128.0
+        diff_x = 8.0*ratio
+    dst = arcface_dst * ratio
+    dst[:,0] += diff_x
+    tform = trans.SimilarityTransform()
+    tform.estimate(lmk, dst)
+    M = tform.params[0:2, :]
+    return M
+
+def norm_crop(img, landmark, image_size=112, mode='arcface'):
+    M = estimate_norm(landmark, image_size, mode)
+    warped = cv2.warpAffine(img, M, (image_size, image_size), borderValue=0.0)
+    return warped
+
+def norm_crop2(img, landmark, image_size=112, mode='arcface'):
+    M = estimate_norm(landmark, image_size, mode)
+    warped = cv2.warpAffine(img, M, (image_size, image_size), borderValue=0.0)
+    return warped, M
+
+def square_crop(im, S):
+    if im.shape[0] > im.shape[1]:
+        height = S
+        width = int(float(im.shape[1]) / im.shape[0] * S)
+        scale = float(S) / im.shape[0]
+    else:
+        width = S
+        height = int(float(im.shape[0]) / im.shape[1] * S)
+        scale = float(S) / im.shape[1]
+    resized_im = cv2.resize(im, (width, height))
+    det_im = np.zeros((S, S, 3), dtype=np.uint8)
+    det_im[:resized_im.shape[0], :resized_im.shape[1], :] = resized_im
+    return det_im, scale
+
+
+def transform(data, center, output_size, scale, rotation):
+    scale_ratio = scale
+    rot = float(rotation) * np.pi / 180.0
+    #translation = (output_size/2-center[0]*scale_ratio, output_size/2-center[1]*scale_ratio)
+    t1 = trans.SimilarityTransform(scale=scale_ratio)
+    cx = center[0] * scale_ratio
+    cy = center[1] * scale_ratio
+    t2 = trans.SimilarityTransform(translation=(-1 * cx, -1 * cy))
+    t3 = trans.SimilarityTransform(rotation=rot)
+    t4 = trans.SimilarityTransform(translation=(output_size / 2,
+                                                output_size / 2))
+    t = t1 + t2 + t3 + t4
+    M = t.params[0:2]
+    cropped = cv2.warpAffine(data,
+                             M, (output_size, output_size),
+                             borderValue=0.0)
+    return cropped, M
+
+
+def trans_points2d(pts, M):
+    new_pts = np.zeros(shape=pts.shape, dtype=np.float32)
+    for i in range(pts.shape[0]):
+        pt = pts[i]
+        new_pt = np.array([pt[0], pt[1], 1.], dtype=np.float32)
+        new_pt = np.dot(M, new_pt)
+        #print('new_pt', new_pt.shape, new_pt)
+        new_pts[i] = new_pt[0:2]
+
+    return new_pts
+
+
+def trans_points3d(pts, M):
+    scale = np.sqrt(M[0][0] * M[0][0] + M[0][1] * M[0][1])
+    #print(scale)
+    new_pts = np.zeros(shape=pts.shape, dtype=np.float32)
+    for i in range(pts.shape[0]):
+        pt = pts[i]
+        new_pt = np.array([pt[0], pt[1], 1.], dtype=np.float32)
+        new_pt = np.dot(M, new_pt)
+        #print('new_pt', new_pt.shape, new_pt)
+        new_pts[i][0:2] = new_pt[0:2]
+        new_pts[i][2] = pts[i][2] * scale
+
+    return new_pts
+
+
+def trans_points(pts, M):
+    if pts.shape[1] == 2:
+        return trans_points2d(pts, M)
+    else:
+        return trans_points3d(pts, M)
+
diff --git a/insightface/utils/filesystem.py b/insightface/utils/filesystem.py
new file mode 100644
index 0000000000000000000000000000000000000000..01e3851975bdcbbf7f5eeb7e68e70a36dc040535
--- /dev/null
+++ b/insightface/utils/filesystem.py
@@ -0,0 +1,157 @@
+"""
+This code file mainly comes from https://github.com/dmlc/gluon-cv/blob/master/gluoncv/utils/filesystem.py
+"""
+import os
+import os.path as osp
+import errno
+
+
+def get_model_dir(name, root='~/.insightface'):
+    root = os.path.expanduser(root)
+    model_dir = osp.join(root, 'models', name)
+    return model_dir
+
+def makedirs(path):
+    """Create directory recursively if not exists.
+    Similar to `makedir -p`, you can skip checking existence before this function.
+
+    Parameters
+    ----------
+    path : str
+        Path of the desired dir
+    """
+    try:
+        os.makedirs(path)
+    except OSError as exc:
+        if exc.errno != errno.EEXIST:
+            raise
+
+
+def try_import(package, message=None):
+    """Try import specified package, with custom message support.
+
+    Parameters
+    ----------
+    package : str
+        The name of the targeting package.
+    message : str, default is None
+        If not None, this function will raise customized error message when import error is found.
+
+
+    Returns
+    -------
+    module if found, raise ImportError otherwise
+
+    """
+    try:
+        return __import__(package)
+    except ImportError as e:
+        if not message:
+            raise e
+        raise ImportError(message)
+
+
+def try_import_cv2():
+    """Try import cv2 at runtime.
+
+    Returns
+    -------
+    cv2 module if found. Raise ImportError otherwise
+
+    """
+    msg = "cv2 is required, you can install by package manager, e.g. 'apt-get', \
+        or `pip install opencv-python --user` (note that this is unofficial PYPI package)."
+
+    return try_import('cv2', msg)
+
+
+def try_import_mmcv():
+    """Try import mmcv at runtime.
+
+    Returns
+    -------
+    mmcv module if found. Raise ImportError otherwise
+
+    """
+    msg = "mmcv is required, you can install by first `pip install Cython --user` \
+        and then `pip install mmcv --user` (note that this is unofficial PYPI package)."
+
+    return try_import('mmcv', msg)
+
+
+def try_import_rarfile():
+    """Try import rarfile at runtime.
+
+    Returns
+    -------
+    rarfile module if found. Raise ImportError otherwise
+
+    """
+    msg = "rarfile is required, you can install by first `sudo apt-get install unrar` \
+        and then `pip install rarfile --user` (note that this is unofficial PYPI package)."
+
+    return try_import('rarfile', msg)
+
+
+def import_try_install(package, extern_url=None):
+    """Try import the specified package.
+    If the package not installed, try use pip to install and import if success.
+
+    Parameters
+    ----------
+    package : str
+        The name of the package trying to import.
+    extern_url : str or None, optional
+        The external url if package is not hosted on PyPI.
+        For example, you can install a package using:
+         "pip install git+http://github.com/user/repo/tarball/master/egginfo=xxx".
+        In this case, you can pass the url to the extern_url.
+
+    Returns
+    -------
+    <class 'Module'>
+        The imported python module.
+
+    """
+    try:
+        return __import__(package)
+    except ImportError:
+        try:
+            from pip import main as pipmain
+        except ImportError:
+            from pip._internal import main as pipmain
+
+        # trying to install package
+        url = package if extern_url is None else extern_url
+        pipmain(['install', '--user',
+                 url])  # will raise SystemExit Error if fails
+
+        # trying to load again
+        try:
+            return __import__(package)
+        except ImportError:
+            import sys
+            import site
+            user_site = site.getusersitepackages()
+            if user_site not in sys.path:
+                sys.path.append(user_site)
+            return __import__(package)
+    return __import__(package)
+
+
+def try_import_dali():
+    """Try import NVIDIA DALI at runtime.
+    """
+    try:
+        dali = __import__('nvidia.dali', fromlist=['pipeline', 'ops', 'types'])
+        dali.Pipeline = dali.pipeline.Pipeline
+    except ImportError:
+
+        class dali:
+            class Pipeline:
+                def __init__(self):
+                    raise NotImplementedError(
+                        "DALI not found, please check if you installed it correctly."
+                    )
+
+    return dali
diff --git a/insightface/utils/storage.py b/insightface/utils/storage.py
new file mode 100644
index 0000000000000000000000000000000000000000..5bf37e2d17b28dee2a8839484778815f87fc4a9c
--- /dev/null
+++ b/insightface/utils/storage.py
@@ -0,0 +1,52 @@
+
+import os
+import os.path as osp
+import zipfile
+from .download import download_file
+
+BASE_REPO_URL = 'https://github.com/deepinsight/insightface/releases/download/v0.7'
+
+def download(sub_dir, name, force=False, root='~/.insightface'):
+    _root = os.path.expanduser(root)
+    dir_path = os.path.join(_root, sub_dir, name)
+    if osp.exists(dir_path) and not force:
+        return dir_path
+    print('download_path:', dir_path)
+    zip_file_path = os.path.join(_root, sub_dir, name + '.zip')
+    model_url = "%s/%s.zip"%(BASE_REPO_URL, name)
+    download_file(model_url,
+             path=zip_file_path,
+             overwrite=True)
+    if not os.path.exists(dir_path):
+        os.makedirs(dir_path)
+    with zipfile.ZipFile(zip_file_path) as zf:
+        zf.extractall(dir_path)
+    #os.remove(zip_file_path)
+    return dir_path
+
+def ensure_available(sub_dir, name, root='~/.insightface'):
+    return download(sub_dir, name, force=False, root=root)
+
+def download_onnx(sub_dir, model_file, force=False, root='~/.insightface', download_zip=False):
+    _root = os.path.expanduser(root)
+    model_root = osp.join(_root, sub_dir)
+    new_model_file = osp.join(model_root, model_file)
+    if osp.exists(new_model_file) and not force:
+        return new_model_file
+    if not osp.exists(model_root):
+        os.makedirs(model_root)
+    print('download_path:', new_model_file)
+    if not download_zip:
+        model_url = "%s/%s"%(BASE_REPO_URL, model_file)
+        download_file(model_url,
+                 path=new_model_file,
+                 overwrite=True)
+    else:
+        model_url = "%s/%s.zip"%(BASE_REPO_URL, model_file)
+        zip_file_path = new_model_file+".zip"
+        download_file(model_url,
+                 path=zip_file_path,
+                 overwrite=True)
+        with zipfile.ZipFile(zip_file_path) as zf:
+            zf.extractall(model_root)
+        return new_model_file
diff --git a/insightface/utils/transform.py b/insightface/utils/transform.py
new file mode 100644
index 0000000000000000000000000000000000000000..06531d257b694211a0b9a09c9d741b9b2ff53bfe
--- /dev/null
+++ b/insightface/utils/transform.py
@@ -0,0 +1,116 @@
+import cv2
+import math
+import numpy as np
+from skimage import transform as trans
+
+
+def transform(data, center, output_size, scale, rotation):
+    scale_ratio = scale
+    rot = float(rotation) * np.pi / 180.0
+    #translation = (output_size/2-center[0]*scale_ratio, output_size/2-center[1]*scale_ratio)
+    t1 = trans.SimilarityTransform(scale=scale_ratio)
+    cx = center[0] * scale_ratio
+    cy = center[1] * scale_ratio
+    t2 = trans.SimilarityTransform(translation=(-1 * cx, -1 * cy))
+    t3 = trans.SimilarityTransform(rotation=rot)
+    t4 = trans.SimilarityTransform(translation=(output_size / 2,
+                                                output_size / 2))
+    t = t1 + t2 + t3 + t4
+    M = t.params[0:2]
+    cropped = cv2.warpAffine(data,
+                             M, (output_size, output_size),
+                             borderValue=0.0)
+    return cropped, M
+
+
+def trans_points2d(pts, M):
+    new_pts = np.zeros(shape=pts.shape, dtype=np.float32)
+    for i in range(pts.shape[0]):
+        pt = pts[i]
+        new_pt = np.array([pt[0], pt[1], 1.], dtype=np.float32)
+        new_pt = np.dot(M, new_pt)
+        #print('new_pt', new_pt.shape, new_pt)
+        new_pts[i] = new_pt[0:2]
+
+    return new_pts
+
+
+def trans_points3d(pts, M):
+    scale = np.sqrt(M[0][0] * M[0][0] + M[0][1] * M[0][1])
+    #print(scale)
+    new_pts = np.zeros(shape=pts.shape, dtype=np.float32)
+    for i in range(pts.shape[0]):
+        pt = pts[i]
+        new_pt = np.array([pt[0], pt[1], 1.], dtype=np.float32)
+        new_pt = np.dot(M, new_pt)
+        #print('new_pt', new_pt.shape, new_pt)
+        new_pts[i][0:2] = new_pt[0:2]
+        new_pts[i][2] = pts[i][2] * scale
+
+    return new_pts
+
+
+def trans_points(pts, M):
+    if pts.shape[1] == 2:
+        return trans_points2d(pts, M)
+    else:
+        return trans_points3d(pts, M)
+
+def estimate_affine_matrix_3d23d(X, Y):
+    ''' Using least-squares solution 
+    Args:
+        X: [n, 3]. 3d points(fixed)
+        Y: [n, 3]. corresponding 3d points(moving). Y = PX
+    Returns:
+        P_Affine: (3, 4). Affine camera matrix (the third row is [0, 0, 0, 1]).
+    '''
+    X_homo = np.hstack((X, np.ones([X.shape[0],1]))) #n x 4
+    P = np.linalg.lstsq(X_homo, Y)[0].T # Affine matrix. 3 x 4
+    return P
+
+def P2sRt(P):
+    ''' decompositing camera matrix P
+    Args: 
+        P: (3, 4). Affine Camera Matrix.
+    Returns:
+        s: scale factor.
+        R: (3, 3). rotation matrix.
+        t: (3,). translation. 
+    '''
+    t = P[:, 3]
+    R1 = P[0:1, :3]
+    R2 = P[1:2, :3]
+    s = (np.linalg.norm(R1) + np.linalg.norm(R2))/2.0
+    r1 = R1/np.linalg.norm(R1)
+    r2 = R2/np.linalg.norm(R2)
+    r3 = np.cross(r1, r2)
+
+    R = np.concatenate((r1, r2, r3), 0)
+    return s, R, t
+
+def matrix2angle(R):
+    ''' get three Euler angles from Rotation Matrix
+    Args:
+        R: (3,3). rotation matrix
+    Returns:
+        x: pitch
+        y: yaw
+        z: roll
+    '''
+    sy = math.sqrt(R[0,0] * R[0,0] +  R[1,0] * R[1,0])
+     
+    singular = sy < 1e-6
+ 
+    if  not singular :
+        x = math.atan2(R[2,1] , R[2,2])
+        y = math.atan2(-R[2,0], sy)
+        z = math.atan2(R[1,0], R[0,0])
+    else :
+        x = math.atan2(-R[1,2], R[1,1])
+        y = math.atan2(-R[2,0], sy)
+        z = 0
+
+    # rx, ry, rz = np.rad2deg(x), np.rad2deg(y), np.rad2deg(z)
+    rx, ry, rz = x*180/np.pi, y*180/np.pi, z*180/np.pi
+    return rx, ry, rz
+
diff --git a/models/GFPGANv1.4.pth b/models/GFPGANv1.4.pth
new file mode 100644
index 0000000000000000000000000000000000000000..afedb5c7e826056840c9cc183f2c6f0186fd17ba
--- /dev/null
+++ b/models/GFPGANv1.4.pth
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2cd4703ab14f4d01fd1383a8a8b266f9a5833dacee8e6a79d3bf21a1b6be5ad
+size 348632874
diff --git a/models/inswapper_128.onnx b/models/inswapper_128.onnx
new file mode 100644
index 0000000000000000000000000000000000000000..cb672b799d74fdf7ab8b172a1b1d78411f6400f5
--- /dev/null
+++ b/models/inswapper_128.onnx
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4a3f08c753cb72d04e10aa0f7dbe3deebbf39567d4ead6dce08e98aa49e16af
+size 554253681