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Copyright 2013 Pixar
Licensed under the Apache License, Version 2.0 (the "Apache License")
with the following modification; you may not use this file except in
compliance with the Apache License and the following modification to it:
Section 6. Trademarks. is deleted and replaced with:
6. Trademarks. This License does not grant permission to use the trade
names, trademarks, service marks, or product names of the Licensor
and its affiliates, except as required to comply with Section 4(c) of
the License and to reproduce the content of the NOTICE file.
You may obtain a copy of the Apache License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the Apache License with the above modification is
distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
KIND, either express or implied. See the Apache License for the specific
language governing permissions and limitations under the Apache License.
103 lines
3.2 KiB
Python
103 lines
3.2 KiB
Python
#
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# Copyright 2013 Pixar
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#
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# Licensed under the Apache License, Version 2.0 (the "Apache License")
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# with the following modification; you may not use this file except in
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# compliance with the Apache License and the following modification to it:
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# Section 6. Trademarks. is deleted and replaced with:
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#
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# 6. Trademarks. This License does not grant permission to use the trade
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# names, trademarks, service marks, or product names of the Licensor
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# and its affiliates, except as required to comply with Section 4(c) of
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# the License and to reproduce the content of the NOTICE file.
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#
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# You may obtain a copy of the Apache License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the Apache License with the above modification is
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# distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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# KIND, either express or implied. See the Apache License for the specific
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# language governing permissions and limitations under the Apache License.
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#
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from OpenGL.GL import *
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from time import time
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import math
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import numpy as np
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from numpy import linalg as LA
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# Provide a terse way to get a uniform location from its name
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def U(name):
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p = glGetIntegerv(GL_CURRENT_PROGRAM)
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return glGetUniformLocation(p, name)
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# Provide a terse way to create a f32 numpy 3-tuple
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def V3(x, y, z):
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return np.array([x, y, z], 'f')
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def translation(direction):
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M = np.identity(4, 'f')
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M[:3, 3] = direction[:3]
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return M
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def unit_vector(data, axis=None, out=None):
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if out is None:
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data = np.array(data, dtype=np.float32, copy=True)
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if data.ndim == 1:
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data /= math.sqrt(np.dot(data, data))
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return data
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else:
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if out is not data:
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out[:] = np.array(data, copy=False)
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data = out
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length = np.atleast_1d(np.sum(data*data, axis))
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np.sqrt(length, length)
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if axis is not None:
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length = np.expand_dims(length, axis)
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data /= length
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if out is None:
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return data
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def rotation3(angle, direction):
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sina = math.sin(angle)
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cosa = math.cos(angle)
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direction = unit_vector(direction[:3])
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R = np.diag([cosa, cosa, cosa])
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R += np.outer(direction, direction) * (1.0 - cosa)
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direction *= sina
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R += np.array([[ 0.0, -direction[2], direction[1]],
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[ direction[2], 0.0, -direction[0]],
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[-direction[1], direction[0], 0.0]])
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return R
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def rotation(angle, direction):
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R = rotation3(angle, direction)
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M = np.identity(4, 'f')
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M[:3, :3] = R
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return M
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def look_at(eye, target, up):
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F = target[:3] - eye[:3]
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f = F / LA.norm(F)
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U = up / LA.norm(up)
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s = np.cross(f, U)
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u = np.cross(s, f)
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M = np.matrix(np.identity(4))
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M[:3,:3] = [s,u,-f]
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T = translation(-eye)
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return np.matrix(M * T, 'f')
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def perspective(fovy, aspect, f, n):
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s = 1.0/math.tan(math.radians(fovy)/2.0)
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sx, sy = s / aspect, s
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zz = (f+n)/(n-f)
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zw = 2*f*n/(n-f)
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m = np.matrix([[sx,0,0,0],
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[0,sy,0,0],
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[0,0,zz,zw],
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[0,0,-1,0]], 'f')
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return m
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