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//
// Book: OpenGL(R) ES 2.0 Programming Guide
// Authors: Aaftab Munshi, Dan Ginsburg, Dave Shreiner
// ISBN-10: 0321502795
// ISBN-13: 9780321502797
// Publisher: Addison-Wesley Professional
// URLs: http://safari.informit.com/9780321563835
// http://www.opengles-book.com
//
/*
* (c) 2009 Aaftab Munshi, Dan Ginsburg, Dave Shreiner
*
* Permission is hereby granted, free of charge, to any person obtaining a
* copy of this software and associated documentation files (the "Software"),
* to deal in the Software without restriction, including without limitation
* the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included
* in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
* DEALINGS IN THE SOFTWARE.
*/
// ESUtil.c
//
// A utility library for OpenGL ES. This library provides a
// basic common framework for the example applications in the
// OpenGL ES 2.0 Programming Guide.
//
///
// Includes
//
#include "esTransform.h"
#include <math.h>
#include <string.h>
#define PI 3.1415926535897932384626433832795f
void esScale(ESMatrix* result, GLfloat sx, GLfloat sy, GLfloat sz)
{
result->m[0][0] *= sx;
result->m[0][1] *= sx;
result->m[0][2] *= sx;
result->m[0][3] *= sx;
result->m[1][0] *= sy;
result->m[1][1] *= sy;
result->m[1][2] *= sy;
result->m[1][3] *= sy;
result->m[2][0] *= sz;
result->m[2][1] *= sz;
result->m[2][2] *= sz;
result->m[2][3] *= sz;
}
void esTranslate(ESMatrix* result, GLfloat tx, GLfloat ty, GLfloat tz)
{
result->m[3][0] += (result->m[0][0] * tx + result->m[1][0] * ty + result->m[2][0] * tz);
result->m[3][1] += (result->m[0][1] * tx + result->m[1][1] * ty + result->m[2][1] * tz);
result->m[3][2] += (result->m[0][2] * tx + result->m[1][2] * ty + result->m[2][2] * tz);
result->m[3][3] += (result->m[0][3] * tx + result->m[1][3] * ty + result->m[2][3] * tz);
}
void esRotate(ESMatrix* result, GLfloat angle, GLfloat x, GLfloat y, GLfloat z)
{
GLfloat sinAngle, cosAngle;
GLfloat mag = sqrtf(x * x + y * y + z * z);
sinAngle = sinf(angle * PI / 180.0f);
cosAngle = cosf(angle * PI / 180.0f);
if (mag > 0.0f) {
GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs;
GLfloat oneMinusCos;
ESMatrix rotMat;
x /= mag;
y /= mag;
z /= mag;
xx = x * x;
yy = y * y;
zz = z * z;
xy = x * y;
yz = y * z;
zx = z * x;
xs = x * sinAngle;
ys = y * sinAngle;
zs = z * sinAngle;
oneMinusCos = 1.0f - cosAngle;
rotMat.m[0][0] = (oneMinusCos * xx) + cosAngle;
rotMat.m[0][1] = (oneMinusCos * xy) - zs;
rotMat.m[0][2] = (oneMinusCos * zx) + ys;
rotMat.m[0][3] = 0.0F;
rotMat.m[1][0] = (oneMinusCos * xy) + zs;
rotMat.m[1][1] = (oneMinusCos * yy) + cosAngle;
rotMat.m[1][2] = (oneMinusCos * yz) - xs;
rotMat.m[1][3] = 0.0F;
rotMat.m[2][0] = (oneMinusCos * zx) - ys;
rotMat.m[2][1] = (oneMinusCos * yz) + xs;
rotMat.m[2][2] = (oneMinusCos * zz) + cosAngle;
rotMat.m[2][3] = 0.0F;
rotMat.m[3][0] = 0.0F;
rotMat.m[3][1] = 0.0F;
rotMat.m[3][2] = 0.0F;
rotMat.m[3][3] = 1.0F;
esMatrixMultiply(result, &rotMat, result);
}
}
void esFrustum(ESMatrix* result, float left, float right, float bottom, float top, float nearZ, float farZ)
{
float deltaX = right - left;
float deltaY = top - bottom;
float deltaZ = farZ - nearZ;
ESMatrix frust;
if ((nearZ <= 0.0f) || (farZ <= 0.0f) ||
(deltaX <= 0.0f) || (deltaY <= 0.0f) || (deltaZ <= 0.0f))
return;
frust.m[0][0] = 2.0f * nearZ / deltaX;
frust.m[0][1] = frust.m[0][2] = frust.m[0][3] = 0.0f;
frust.m[1][1] = 2.0f * nearZ / deltaY;
frust.m[1][0] = frust.m[1][2] = frust.m[1][3] = 0.0f;
frust.m[2][0] = (right + left) / deltaX;
frust.m[2][1] = (top + bottom) / deltaY;
frust.m[2][2] = -(nearZ + farZ) / deltaZ;
frust.m[2][3] = -1.0f;
frust.m[3][2] = -2.0f * nearZ * farZ / deltaZ;
frust.m[3][0] = frust.m[3][1] = frust.m[3][3] = 0.0f;
esMatrixMultiply(result, &frust, result);
}
void esPerspective(ESMatrix* result, float fovy, float aspect, float nearZ, float farZ)
{
GLfloat frustumW, frustumH;
frustumH = tanf(fovy / 360.0f * PI) * nearZ;
frustumW = frustumH * aspect;
esFrustum(result, -frustumW, frustumW, -frustumH, frustumH, nearZ, farZ);
}
void esOrtho(ESMatrix* result, float left, float right, float bottom, float top, float nearZ, float farZ)
{
float deltaX = right - left;
float deltaY = top - bottom;
float deltaZ = farZ - nearZ;
ESMatrix ortho;
if ((deltaX == 0.0f) || (deltaY == 0.0f) || (deltaZ == 0.0f))
return;
esMatrixLoadIdentity(&ortho);
ortho.m[0][0] = 2.0f / deltaX;
ortho.m[3][0] = -(right + left) / deltaX;
ortho.m[1][1] = 2.0f / deltaY;
ortho.m[3][1] = -(top + bottom) / deltaY;
ortho.m[2][2] = -2.0f / deltaZ;
ortho.m[3][2] = -(nearZ + farZ) / deltaZ;
esMatrixMultiply(result, &ortho, result);
}
void esMatrixMultiply(ESMatrix* result, ESMatrix* srcA, ESMatrix* srcB)
{
ESMatrix tmp;
int i;
for (i = 0; i < 4; i++) {
tmp.m[i][0] = (srcA->m[i][0] * srcB->m[0][0]) +
(srcA->m[i][1] * srcB->m[1][0]) +
(srcA->m[i][2] * srcB->m[2][0]) +
(srcA->m[i][3] * srcB->m[3][0]);
tmp.m[i][1] = (srcA->m[i][0] * srcB->m[0][1]) +
(srcA->m[i][1] * srcB->m[1][1]) +
(srcA->m[i][2] * srcB->m[2][1]) +
(srcA->m[i][3] * srcB->m[3][1]);
tmp.m[i][2] = (srcA->m[i][0] * srcB->m[0][2]) +
(srcA->m[i][1] * srcB->m[1][2]) +
(srcA->m[i][2] * srcB->m[2][2]) +
(srcA->m[i][3] * srcB->m[3][2]);
tmp.m[i][3] = (srcA->m[i][0] * srcB->m[0][3]) +
(srcA->m[i][1] * srcB->m[1][3]) +
(srcA->m[i][2] * srcB->m[2][3]) +
(srcA->m[i][3] * srcB->m[3][3]);
}
memcpy(result, &tmp, sizeof(ESMatrix));
}
void esMatrixLoadIdentity(ESMatrix* result)
{
memset(result, 0x0, sizeof(ESMatrix));
result->m[0][0] = 1.0f;
result->m[1][1] = 1.0f;
result->m[2][2] = 1.0f;
result->m[3][3] = 1.0f;
}