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) fovy = np.random.uniform(5 / 180 * np.pi, 175 / 180 * np.pi, spatial) aspect = np.random.uniform(0.01, 100, spatial) near = np.random.uniform(0.1, 100, spatial) far = np.random.uniform(near*2, 1000, 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 = (eye - lookat) 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 / np.tan(fovy[..., None] / 2) / aspect[..., None]) * 0.5 + 0.5 y = (y / -z / np.tan(fovy[..., None] / 2)) * 0.5 + 0.5 z = utils3d.numpy.project_depth(-z, near[..., None], far[..., None]) expected = np.stack([x, y, z], axis=-1) actual, _ = utils3d.numpy.transforms.project_gl(points, None, utils3d.numpy.view_look_at(eye, lookat, up), utils3d.numpy.perspective(fovy, aspect, near, far)) assert np.allclose(expected, actual), '\n' + \ 'Input:\n' + \ f'\tfovy: {fovy}\n' + \ f'\taspect: {aspect}\n' + \ f'\tnear: {near}\n' + \ f'\tfar: {far}\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}'