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#Copyright 2018 Google LLC | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# https://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
# Math functionalities for tf-graphics. | ||
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# google internal package dependency 8) | ||
# google internal package dependency 5 | ||
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licenses(["notice"]) # Apache 2.0 | ||
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package(default_visibility = ["//visibility:public"]) | ||
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py_library( | ||
name = "opengl", | ||
srcs = [ | ||
"__init__.py", | ||
], | ||
srcs_version = "PY2AND3", | ||
# google internal rule 1 | ||
visibility = ["//visibility:public"], | ||
deps = [ | ||
":math", | ||
"//tensorflow_graphics/util:export_api", | ||
], | ||
) | ||
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py_library( | ||
name = "math", | ||
srcs = ["math.py"], | ||
srcs_version = "PY2AND3", | ||
# google internal rule 1 | ||
deps = [ | ||
# google internal package dependency 1, | ||
"//tensorflow_graphics/util:asserts", | ||
"//tensorflow_graphics/util:export_api", | ||
"//tensorflow_graphics/util:shape", | ||
], | ||
) | ||
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py_test( | ||
name = "math_test", | ||
srcs = ["tests/math_test.py"], | ||
srcs_version = "PY2AND3", | ||
# google internal rule 1 | ||
# google internal rule 2 | ||
# google internal rule 3 | ||
# google internal rule 4 | ||
# google internal rule 5 | ||
# google internal rule 6 | ||
deps = [ | ||
":math", | ||
# google internal package dependency 2 | ||
# google internal package dependency 6 | ||
# google internal package dependency 1, | ||
"//tensorflow_graphics/util:test_case", | ||
], | ||
) |
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#Copyright 2018 Google LLC | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# https://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
"""OpenGL module.""" | ||
from __future__ import absolute_import | ||
from __future__ import division | ||
from __future__ import print_function | ||
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from tensorflow_graphics.rendering.opengl import math | ||
from tensorflow_graphics.util import export_api as _export_api | ||
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# API contains submodules of tensorflow_graphics.rendering. | ||
__all__ = _export_api.get_modules() |
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#Copyright 2018 Google LLC | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# https://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
"""This module implements math routines used by OpenGL.""" | ||
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from __future__ import absolute_import | ||
from __future__ import division | ||
from __future__ import print_function | ||
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import math | ||
import tensorflow as tf | ||
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from tensorflow_graphics.util import asserts | ||
from tensorflow_graphics.util import export_api | ||
from tensorflow_graphics.util import shape | ||
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def perspective_right_handed(vertical_field_of_view, | ||
aspect_ratio, | ||
near, | ||
far, | ||
name=None): | ||
"""Generates the matrix for a right handed perspective projection. | ||
Note: | ||
In the following, A1 to An are optional batch dimensions. | ||
Args: | ||
vertical_field_of_view: A tensor of shape `[A1, ..., An]`, where the last | ||
dimension represents the vertical field of view of the frustum expressed | ||
in radians. Note that values for `vertical_field_of_view` must be in the | ||
range (0,pi). | ||
aspect_ratio: A tensor of shape `[A1, ..., An, C]`, where the last dimension | ||
stores the width over height ratio of the frustum. Note that values for | ||
`aspect_ratio` must be non-negative. | ||
near: A tensor of shape `[A1, ..., An, C]`, where the last dimension | ||
captures the distance between the viewer and the near clipping plane. Note | ||
that values for `near` must be non-negative. | ||
far: A tensor of shape `[A1, ..., An, C]`, where the last dimension | ||
captures the distance between the viewer and the far clipping plane. Note | ||
that values for `far` must be greater than those of `near`. | ||
name: A name for this op. Defaults to 'perspective_rh'. | ||
Raises: | ||
InvalidArgumentError: if any input contains data not in the specified range | ||
of valid values. | ||
ValueError: if the all the inputs are not of the same shape. | ||
Returns: | ||
A tensor of shape `[A1, ..., An, 4, 4]`, containing matrices of right | ||
handed perspective-view frustum. | ||
""" | ||
with tf.compat.v1.name_scope( | ||
name, "perspective_rh", | ||
[vertical_field_of_view, aspect_ratio, near, far]): | ||
vertical_field_of_view = tf.convert_to_tensor(value=vertical_field_of_view) | ||
aspect_ratio = tf.convert_to_tensor(value=aspect_ratio) | ||
near = tf.convert_to_tensor(value=near) | ||
far = tf.convert_to_tensor(value=far) | ||
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shape.compare_batch_dimensions( | ||
tensors=(vertical_field_of_view, aspect_ratio, near, far), | ||
last_axes=-1, | ||
tensor_names=("vertical_field_of_view", "aspect_ratio", "near", "far"), | ||
broadcast_compatible=False) | ||
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vertical_field_of_view = asserts.assert_all_in_range( | ||
vertical_field_of_view, 0.0, math.pi, open_bounds=True) | ||
aspect_ratio = asserts.assert_all_above(aspect_ratio, 0.0, open_bound=True) | ||
near = asserts.assert_all_above(near, 0.0, open_bound=True) | ||
far = asserts.assert_all_above(far, near, open_bound=True) | ||
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inverse_tan_half_vertical_field_of_view = 1.0 / tf.tan( | ||
vertical_field_of_view * 0.5) | ||
zero = tf.zeros_like(inverse_tan_half_vertical_field_of_view) | ||
one = tf.ones_like(inverse_tan_half_vertical_field_of_view) | ||
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x = tf.stack((inverse_tan_half_vertical_field_of_view / aspect_ratio, zero, | ||
zero, zero), | ||
axis=-1) | ||
y = tf.stack((zero, inverse_tan_half_vertical_field_of_view, zero, zero), | ||
axis=-1) | ||
near_minus_far = near - far | ||
z = tf.stack( | ||
(zero, zero, | ||
(far + near) / near_minus_far, 2.0 * far * near / near_minus_far), | ||
axis=-1) | ||
w = tf.stack((zero, zero, -one, zero), axis=-1) | ||
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return tf.stack((x, y, z, w), axis=-2) | ||
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# API contains all public functions and classes. | ||
__all__ = export_api.get_functions_and_classes() |
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tensorflow_graphics/rendering/opengl/tests/math_test.py
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#Copyright 2018 Google LLC | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# https://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
"""Tests for OpenGL math routines.""" | ||
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from __future__ import absolute_import | ||
from __future__ import division | ||
from __future__ import print_function | ||
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import math | ||
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from absl.testing import parameterized | ||
import numpy as np | ||
import tensorflow as tf | ||
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from tensorflow_graphics.rendering.opengl import math as glm | ||
from tensorflow_graphics.util import test_case | ||
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class MathTest(test_case.TestCase): | ||
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def test_perspective_right_handed_preset(self): | ||
"""Tests that perspective_right_handed generates expected results..""" | ||
vertical_field_of_view = (60.0 * math.pi / 180.0, 50.0 * math.pi / 180.0) | ||
aspect_ratio = (1.5, 1.1) | ||
near = (1.0, 1.2) | ||
far = (10.0, 5.0) | ||
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pred = glm.perspective_right_handed(vertical_field_of_view, aspect_ratio, | ||
near, far) | ||
gt = (((1.15470052, 0.0, 0.0, 0.0), (0.0, 1.73205066, 0.0, 0.0), | ||
(0.0, 0.0, -1.22222221, -2.22222233), (0.0, 0.0, -1.0, 0.0)), | ||
((1.9495517, 0.0, 0.0, 0.0), (0.0, 2.14450693, 0.0, 0.0), | ||
(0.0, 0.0, -1.63157892, -3.15789485), (0.0, 0.0, -1.0, 0.0))) | ||
self.assertAllClose(pred, gt) | ||
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@parameterized.parameters( | ||
((1,), (1,), (1,), (1,)), | ||
((None, 2), (None, 2), (None, 2), (None, 2)), | ||
) | ||
def test_perspective_right_handed_exception_not_raised(self, *shapes): | ||
"""Tests that the shape exceptions are not raised.""" | ||
self.assert_exception_is_not_raised(glm.perspective_right_handed, shapes) | ||
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@parameterized.parameters( | ||
("Not all batch dimensions are identical", (3,), (3, 3), (3, 3), (3, 3)), | ||
("Not all batch dimensions are identical", (2, 3), (3, 3), (3, 3), | ||
(3, 3)), | ||
) | ||
def test_perspective_right_handed_shape_exception_raised( | ||
self, error_msg, *shapes): | ||
"""Tests that the shape exceptions are properly raised.""" | ||
self.assert_exception_is_raised(glm.perspective_right_handed, error_msg, | ||
shapes) | ||
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@parameterized.parameters( | ||
((1.0,), | ||
(1.0,), np.random.uniform(-1.0, 0.0, size=(1,)).astype(np.float32), | ||
(1.0,)), | ||
((1.0,), (1.0,), (0.0,), (1.0,)), | ||
((1.0,), np.random.uniform(-1.0, 0.0, size=(1,)).astype(np.float32), | ||
(0.1,), (1.0,)), | ||
((1.0,), (0.0,), (0.1,), (1.0,)), | ||
((1.0,), | ||
(1.0,), np.random.uniform(1.0, 2.0, size=(1,)).astype(np.float32), | ||
np.random.uniform(0.1, 0.5, size=(1,)).astype(np.float32)), | ||
((1.0,), (1.0,), (0.1,), (0.1,)), | ||
(np.random.uniform(-math.pi, 0.0, size=(1,)).astype(np.float32), (1.0,), | ||
(0.1,), (1.0,)), | ||
(np.random.uniform(math.pi, 2.0 * math.pi, size=(1,)).astype(np.float32), | ||
(1.0,), (0.1,), (1.0,)), | ||
((0.0,), (1.0,), (0.1,), (1.0,)), | ||
((math.pi,), (1.0,), (0.1,), (1.0,)), | ||
) | ||
def test_perspective_right_handed_valid_range_exception_raised( | ||
self, vertical_field_of_view, aspect_ratio, near, far): | ||
"""Tests that an exception is raised with out of bounds values.""" | ||
with self.assertRaises(tf.errors.InvalidArgumentError): | ||
self.evaluate( | ||
glm.perspective_right_handed(vertical_field_of_view, aspect_ratio, | ||
near, far)) | ||
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def test_perspective_right_handed_cross_jacobian_preset(self): | ||
"""Tests the Jacobian of perspective_right_handed.""" | ||
vertical_field_of_view_init = np.array((1.0,)) | ||
aspect_ratio_init = np.array((1.0,)) | ||
near_init = np.array((1.0,)) | ||
far_init = np.array((10.0,)) | ||
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# Wrap with tf.identity because some assert_* ops look at the constant | ||
# tensor value and mark it as unfeedable. | ||
vertical_field_of_view_tensor = tf.identity( | ||
tf.convert_to_tensor(value=vertical_field_of_view_init)) | ||
aspect_ratio_tensor = tf.identity( | ||
tf.convert_to_tensor(value=aspect_ratio_init)) | ||
near_tensor = tf.identity(tf.convert_to_tensor(value=near_init)) | ||
far_tensor = tf.identity(tf.convert_to_tensor(value=far_init)) | ||
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y = glm.perspective_right_handed(vertical_field_of_view_tensor, | ||
aspect_ratio_tensor, near_tensor, | ||
far_tensor) | ||
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self.assert_jacobian_is_correct(vertical_field_of_view_tensor, | ||
vertical_field_of_view_init, y) | ||
self.assert_jacobian_is_correct(aspect_ratio_tensor, aspect_ratio_init, y) | ||
self.assert_jacobian_is_correct(near_tensor, near_init, y) | ||
self.assert_jacobian_is_correct(far_tensor, far_init, y) | ||
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def test_perspective_right_handed_cross_jacobian_random(self): | ||
"""Tests the Jacobian of perspective_right_handed.""" | ||
tensor_size = np.random.randint(1, 3) | ||
tensor_shape = np.random.randint(1, 5, size=(tensor_size)).tolist() | ||
eps = np.finfo(np.float64).eps | ||
vertical_field_of_view_init = np.random.uniform( | ||
eps, math.pi - eps, size=tensor_shape) | ||
aspect_ratio_init = np.random.uniform(eps, 100.0, size=tensor_shape) | ||
near_init = np.random.uniform(eps, 10.0, size=tensor_shape) | ||
far_init = np.random.uniform(10 + eps, 100.0, size=tensor_shape) | ||
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# Wrap with tf.identity because some assert_* ops look at the constant | ||
# tensor value and mark it as unfeedable. | ||
vertical_field_of_view_tensor = tf.identity( | ||
tf.convert_to_tensor(value=vertical_field_of_view_init)) | ||
aspect_ratio_tensor = tf.identity( | ||
tf.convert_to_tensor(value=aspect_ratio_init)) | ||
near_tensor = tf.identity(tf.convert_to_tensor(value=near_init)) | ||
far_tensor = tf.identity(tf.convert_to_tensor(value=far_init)) | ||
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y = glm.perspective_right_handed(vertical_field_of_view_tensor, | ||
aspect_ratio_tensor, near_tensor, | ||
far_tensor) | ||
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self.assert_jacobian_is_correct(vertical_field_of_view_tensor, | ||
vertical_field_of_view_init, y) | ||
self.assert_jacobian_is_correct(aspect_ratio_tensor, aspect_ratio_init, y) | ||
self.assert_jacobian_is_correct(near_tensor, near_init, y) | ||
self.assert_jacobian_is_correct(far_tensor, far_init, y) | ||
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if __name__ == "__main__": | ||
test_case.main() |