import os import sys sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), '..', '..', '..'))) import utils3d import numpy as np import glm def run(): for i in range(100): if i == 0: spatial = [] N = 1 else: dim = np.random.randint(4) spatial = [np.random.randint(1, 10) for _ in range(dim)] N = np.random.randint(1, 10) focal_x = np.random.uniform(0, 10, spatial) focal_y = np.random.uniform(0, 10, spatial) center_x = np.random.uniform(0, 1, spatial) center_y = np.random.uniform(0, 1, spatial) eye = np.random.uniform(-10, 10, [*spatial, 3]) lookat = np.random.uniform(-10, 10, [*spatial, 3]) up = np.random.uniform(-10, 10, [*spatial, 3]) points = np.random.uniform(-10, 10, [*spatial, N, 3]) pts = points - eye[..., None, :] z_axis = lookat - eye x_axis = np.cross(-up, z_axis) y_axis = np.cross(z_axis, x_axis) x_axis = x_axis / np.linalg.norm(x_axis, axis=-1, keepdims=True) y_axis = y_axis / np.linalg.norm(y_axis, axis=-1, keepdims=True) z_axis = z_axis / np.linalg.norm(z_axis, axis=-1, keepdims=True) z = (pts * z_axis[..., None, :]).sum(axis=-1) x = (pts * x_axis[..., None, :]).sum(axis=-1) y = (pts * y_axis[..., None, :]).sum(axis=-1) x = (x / z * focal_x[..., None] + center_x[..., None]) y = (y / z * focal_y[..., None] + center_y[..., None]) expected = np.stack([x, y], axis=-1) actual, _ = utils3d.numpy.transforms.project_cv(points, utils3d.numpy.extrinsics_look_at(eye, lookat, up), utils3d.numpy.intrinsics(focal_x, focal_y, center_x, center_y)) assert np.allclose(expected, actual), '\n' + \ 'Input:\n' + \ f'\tfocal_x: {focal_x}\n' + \ f'\tfocal_y: {focal_y}\n' + \ f'\tcenter_x: {center_x}\n' + \ f'\tcenter_y: {center_y}\n' + \ f'\teye: {eye}\n' + \ f'\tlookat: {lookat}\n' + \ f'\tup: {up}\n' + \ f'\tpoints: {points}\n' + \ 'Actual:\n' + \ f'{actual}\n' + \ 'Expected:\n' + \ f'{expected}'