mirror of
https://github.com/PixarAnimationStudios/OpenSubdiv
synced 2024-09-19 14:20:00 +00:00
c399655dcc
Sync'ing the 'dev' branch with the 'feature_3.0dev' branch at commit 68c6d11fc36761ae1a5e6cdc3457be16f2e9704a The branch 'feature_3.0dev' is now locked and preserved for historical purposes.
287 lines
7.8 KiB
C++
287 lines
7.8 KiB
C++
//
|
|
// 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.
|
|
//
|
|
|
|
#ifndef SIMPLE_MATH_H
|
|
#define SIMPLE_MATH_H
|
|
|
|
#include <cmath>
|
|
|
|
inline void
|
|
cross(float *n, const float *v1, const float *v2) {
|
|
n[0] = v1[1]*v2[2]-v1[2]*v2[1];
|
|
n[1] = v1[2]*v2[0]-v1[0]*v2[2];
|
|
n[2] = v1[0]*v2[1]-v1[1]*v2[0];
|
|
}
|
|
|
|
inline void
|
|
cross(float *n, const float *p0, const float *p1, const float *p2) {
|
|
|
|
float a[3] = { p1[0]-p0[0], p1[1]-p0[1], p1[2]-p0[2] };
|
|
float b[3] = { p2[0]-p0[0], p2[1]-p0[1], p2[2]-p0[2] };
|
|
n[0] = a[1]*b[2]-a[2]*b[1];
|
|
n[1] = a[2]*b[0]-a[0]*b[2];
|
|
n[2] = a[0]*b[1]-a[1]*b[0];
|
|
|
|
float rn = 1.0f/sqrtf(n[0]*n[0] + n[1]*n[1] + n[2]*n[2]);
|
|
n[0] *= rn;
|
|
n[1] *= rn;
|
|
n[2] *= rn;
|
|
}
|
|
|
|
inline void
|
|
normalize(float * p) {
|
|
|
|
float dist = sqrtf( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] );
|
|
p[0]/=dist;
|
|
p[1]/=dist;
|
|
p[2]/=dist;
|
|
}
|
|
|
|
inline void
|
|
multMatrix(float *d, const float *a, const float *b) {
|
|
|
|
for (int i=0; i<4; ++i)
|
|
{
|
|
for (int j=0; j<4; ++j)
|
|
{
|
|
d[i*4 + j] =
|
|
a[i*4 + 0] * b[0*4 + j] +
|
|
a[i*4 + 1] * b[1*4 + j] +
|
|
a[i*4 + 2] * b[2*4 + j] +
|
|
a[i*4 + 3] * b[3*4 + j];
|
|
}
|
|
}
|
|
}
|
|
|
|
inline void
|
|
inverseMatrix(float *d, const float *m) {
|
|
|
|
d[0] = m[ 5]*m[10]*m[15] - m[ 5]*m[11]*m[14] -
|
|
m[ 9]*m[ 6]*m[15] + m[ 9]*m[ 7]*m[14] +
|
|
m[13]*m[ 6]*m[11] - m[13]*m[ 7]*m[10];
|
|
|
|
d[1] = -m[ 1]*m[10]*m[15] + m[ 1]*m[11]*m[14] +
|
|
m[ 9]*m[ 2]*m[15] - m[ 9]*m[ 3]*m[14] -
|
|
m[13]*m[ 2]*m[11] + m[13]*m[ 3]*m[10];
|
|
|
|
d[2] = m[ 1]*m[ 6]*m[15] - m[ 1]*m[ 7]*m[14] -
|
|
m[ 5]*m[ 2]*m[15] + m[ 5]*m[ 3]*m[14] +
|
|
m[13]*m[ 2]*m[ 7] - m[13]*m[ 3]*m[ 6];
|
|
|
|
d[3] = -m[ 1]*m[ 6]*m[11] + m[ 1]*m[ 7]*m[10] +
|
|
m[ 5]*m[ 2]*m[11] - m[ 5]*m[ 3]*m[10] -
|
|
m[ 9]*m[ 2]*m[ 7] + m[ 9]*m[ 3]*m[ 6];
|
|
|
|
d[4] = -m[ 4]*m[10]*m[15] + m[ 4]*m[11]*m[14] +
|
|
m[ 8]*m[ 6]*m[15] - m[ 8]*m[ 7]*m[14] -
|
|
m[12]*m[ 6]*m[11] + m[12]*m[ 7]*m[10];
|
|
|
|
d[5] = m[ 0]*m[10]*m[15] - m[ 0]*m[11]*m[14] -
|
|
m[ 8]*m[ 2]*m[15] + m[ 8]*m[ 3]*m[14] +
|
|
m[12]*m[ 2]*m[11] - m[12]*m[ 3]*m[10];
|
|
|
|
d[6] = -m[ 0]*m[ 6]*m[15] + m[ 0]*m[ 7]*m[14] +
|
|
m[ 4]*m[ 2]*m[15] - m[ 4]*m[ 3]*m[14] -
|
|
m[12]*m[ 2]*m[ 7] + m[12]*m[ 3]*m[ 6];
|
|
|
|
d[7] = m[ 0]*m[ 6]*m[11] - m[ 0]*m[ 7]*m[10] -
|
|
m[ 4]*m[ 2]*m[11] + m[ 4]*m[ 3]*m[10] +
|
|
m[ 8]*m[ 2]*m[ 7] - m[ 8]*m[ 3]*m[ 6];
|
|
|
|
d[8] = m[ 4]*m[ 9]*m[15] - m[ 4]*m[11]*m[13] -
|
|
m[ 8]*m[ 5]*m[15] + m[ 8]*m[ 7]*m[13] +
|
|
m[12]*m[ 5]*m[11] - m[12]*m[ 7]*m[ 9];
|
|
|
|
d[9] = -m[ 0]*m[ 9]*m[15] + m[ 0]*m[11]*m[13] +
|
|
m[ 8]*m[ 1]*m[15] - m[ 8]*m[ 3]*m[13] -
|
|
m[12]*m[ 1]*m[11] + m[12]*m[ 3]*m[ 9];
|
|
|
|
d[10] = m[ 0]*m[ 5]*m[15] - m[ 0]*m[ 7]*m[13] -
|
|
m[ 4]*m[ 1]*m[15] + m[ 4]*m[ 3]*m[13] +
|
|
m[12]*m[ 1]*m[ 7] - m[12]*m[ 3]*m[ 5];
|
|
|
|
d[11] = -m[ 0]*m[ 5]*m[11] + m[ 0]*m[ 7]*m[ 9] +
|
|
m[ 4]*m[ 1]*m[11] - m[ 4]*m[ 3]*m[ 9] -
|
|
m[ 8]*m[ 1]*m[ 7] + m[ 8]*m[ 3]*m[ 5];
|
|
|
|
d[12] = -m[ 4]*m[ 9]*m[14] + m[ 4]*m[10]*m[13] +
|
|
m[ 8]*m[ 5]*m[14] - m[ 8]*m[ 6]*m[13] -
|
|
m[12]*m[ 5]*m[10] + m[12]*m[ 6]*m[ 9];
|
|
|
|
d[13] = m[ 0]*m[ 9]*m[14] - m[ 0]*m[10]*m[13] -
|
|
m[ 8]*m[ 1]*m[14] + m[ 8]*m[ 2]*m[13] +
|
|
m[12]*m[ 1]*m[10] - m[12]*m[ 2]*m[ 9];
|
|
|
|
d[14] = -m[ 0]*m[ 5]*m[14] + m[ 0]*m[ 6]*m[13] +
|
|
m[ 4]*m[ 1]*m[14] - m[ 4]*m[ 2]*m[13] -
|
|
m[12]*m[ 1]*m[ 6] + m[12]*m[ 2]*m[ 5];
|
|
|
|
d[15] = m[ 0]*m[ 5]*m[10] - m[ 0]*m[ 6]*m[ 9] -
|
|
m[ 4]*m[ 1]*m[10] + m[ 4]*m[ 2]*m[ 9] +
|
|
m[ 8]*m[ 1]*m[ 6] - m[ 8]*m[ 2]*m[ 5];
|
|
|
|
float det = m[0] * d[0] + m[1] * d[4] + m[2] * d[8] + m[3] * d[12];
|
|
|
|
if (det == 0.0f) return;
|
|
det = 1.0f / det;
|
|
|
|
for (int i = 0; i < 16; i++)
|
|
d[i] = d[i] * det;
|
|
}
|
|
|
|
inline void
|
|
perspective(float *m, float fovy, float aspect, float znear, float zfar)
|
|
{
|
|
float r = 2 * (float)M_PI * fovy / 360.0F;
|
|
float t = 1.0f / tanf(r*0.5f);
|
|
m[0] = t/aspect;
|
|
m[1] = m[2] = m[3] = 0.0;
|
|
m[4] = 0.0;
|
|
m[5] = t;
|
|
m[6] = m[7] = 0.0;
|
|
m[8] = m[9] = 0.0;
|
|
m[10] = (zfar + znear) / (znear - zfar);
|
|
m[11] = -1;
|
|
m[12] = m[13] = 0.0;
|
|
m[14] = (2*zfar*znear)/(znear - zfar);
|
|
m[15] = 0.0;
|
|
}
|
|
|
|
inline void
|
|
identity(float *m)
|
|
{
|
|
m[0] = 1; m[1] = 0; m[2] = 0; m[3] = 0;
|
|
m[4] = 0; m[5] = 1; m[6] = 0; m[7] = 0;
|
|
m[8] = 0; m[9] = 0; m[10] = 1; m[11] = 0;
|
|
m[12] = 0; m[13] = 0; m[14] = 0; m[15] = 1;
|
|
}
|
|
|
|
inline void
|
|
translate(float *m, float x, float y, float z)
|
|
{
|
|
float t[16];
|
|
identity(t);
|
|
t[12] = x;
|
|
t[13] = y;
|
|
t[14] = z;
|
|
float o[16];
|
|
for(int i = 0; i < 16; i++) o[i] = m[i];
|
|
multMatrix(m, t, o);
|
|
}
|
|
|
|
inline void
|
|
ortho(float *m, float left, float top, float right, float bottom)
|
|
{
|
|
identity(m);
|
|
m[0] = 2.0f / (right - left);
|
|
m[5] = 2.0f / (top - bottom);
|
|
m[10] = -1;
|
|
m[12] = -(right+left)/(right-left);
|
|
m[13] = -(top+bottom)/(top-bottom);
|
|
}
|
|
|
|
inline void
|
|
rotate(float *m, float angle, float x, float y, float z)
|
|
{
|
|
float r = 2 * (float) M_PI * angle/360.0f;
|
|
float c = cosf(r);
|
|
float s = sinf(r);
|
|
float t[16];
|
|
t[0] = x*x*(1-c)+c;
|
|
t[1] = y*x*(1-c)+z*s;
|
|
t[2] = x*z*(1-c)-y*s;
|
|
t[3] = 0;
|
|
t[4] = x*y*(1-c)-z*s;
|
|
t[5] = y*y*(1-c)+c;
|
|
t[6] = y*z*(1-c)+x*s;
|
|
t[7] = 0;
|
|
t[8] = x*z*(1-c)+y*s;
|
|
t[9] = y*z*(1-c)-x*s;
|
|
t[10] = z*z*(1-c)+c;
|
|
t[11] = 0;
|
|
t[12] = t[13] = t[14] = 0;
|
|
t[15] = 1;
|
|
float o[16];
|
|
for(int i = 0; i < 16; i++) o[i] = m[i];
|
|
multMatrix(m, t, o);
|
|
}
|
|
|
|
inline void
|
|
scale(float *m, float sx, float sy, float sz)
|
|
{
|
|
float t[16];
|
|
identity(t);
|
|
t[0] = sx;
|
|
t[5] = sy;
|
|
t[10] = sz;
|
|
float o[16];
|
|
for(int i = 0; i < 16; i++) o[i] = m[i];
|
|
multMatrix(m, t, o);
|
|
}
|
|
|
|
inline void
|
|
transpose(float *m)
|
|
{
|
|
std::swap(m[1], m[4]);
|
|
std::swap(m[2], m[8]);
|
|
std::swap(m[3], m[12]);
|
|
std::swap(m[6], m[9]);
|
|
std::swap(m[7], m[13]);
|
|
std::swap(m[11],m[14]);
|
|
}
|
|
|
|
inline void
|
|
apply(float *v, const float *m)
|
|
{
|
|
float r[4];
|
|
r[0] = v[0] * m[0] + v[1] * m[4] + v[2] * m[8] + v[3] * m[12];
|
|
r[1] = v[0] * m[1] + v[1] * m[5] + v[2] * m[9] + v[3] * m[13];
|
|
r[2] = v[0] * m[2] + v[1] * m[6] + v[2] * m[10] + v[3] * m[14];
|
|
r[3] = v[0] * m[3] + v[1] * m[7] + v[2] * m[11] + v[3] * m[15];
|
|
v[0] = r[0];
|
|
v[1] = r[1];
|
|
v[2] = r[2];
|
|
v[3] = r[3];
|
|
}
|
|
|
|
inline void
|
|
pickMatrix(float *m, float x, float y, float width, float height, const int *viewport)
|
|
{
|
|
float sx, sy;
|
|
float tx, ty;
|
|
|
|
sx = viewport[2] / width;
|
|
sy = viewport[3] / height;
|
|
tx = (viewport[2] + 2.0f * (viewport[0] - x)) / width;
|
|
ty = (viewport[3] + 2.0f * (viewport[1] - y)) / height;
|
|
|
|
identity(m);
|
|
m[0] = sx;
|
|
m[5] = sy;
|
|
m[12] = tx;
|
|
m[13] = ty;
|
|
}
|
|
|
|
#endif // SIMPLE_MATH_H
|