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MC3DCommon.h
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MC3DCommon.h
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//
// ^ ____________________
// / \ | |
// / _ \ | MartianCraft 3D |
// ( (_) ) | Platform-Agnostic |
// /| | |\ | 3D Foundation |
// //|__|__|\\ |___________________|
// (/ (|) \)
// \ /
// v
//
// Copyright 2011 Jeff LaMarche & MartianCraft. All rights reserved.
// http://www.martiancraft.com [email protected]
//
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following condition is met:
//
// Redistributions of source code must retain the above copyright notice, this
// condition and the following disclaimer.
//
// THIS SOFTWARE IS PROVIDED BY JEFF LAMARCHE & MARTIANCRAFT, LLC AS IS AND ANY EXPRESS OR
// IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
// AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JEFF LAMARCHE &
// MARTIANCRAFT, LLC OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
// GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
// AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef __MC3DCommon__
#define __MC3DCommon__
// Compatability macros for non-iOS
#ifndef TARGET_OS_IPHONE
#define TARGET_OS_IPHONE 0
#endif
#ifndef TARGET_IPHONE_SIMULATOR
#define TARGET_IPHONE_SIMULATOR 0
#endif
// Import necessary common files
#if TARGET_IPHONE_SIMULATOR || TARGET_OS_IPHONE
#include <OpenGLES/ES2/gl.h>
#include <OpenGLES/ES2/glext.h>
#include <Accelerate/Accelerate.h>
#else
#include <GLES2/gl2.h>
#include <GLES2/gl2ext.h>
typedef signed char BOOL;
#define YES (BOOL)1
#define NO (BOOL)0
typedef int NSInteger;
typedef unsigned int NSUInteger;
#endif
#include <math.h>
#include <stdlib.h>
#include <String.h>
#include <stdio.h>
// Make sure values we need are present
#ifndef FALSE
#define FALSE 0
#endif
#ifndef TRUE
#define TRUE !FALSE
#endif
#define QUATERNION_TRACE_ZERO_TOLERANCE 0.1
// Macros
#define DEGREES_TO_RADIANS(x) ((x) / 180.0 * M_PI)
#define RADIANS_TO_DEGREES(x) ((x) / M_PI * 180.0)
// Debug Loggers
#define MCStubLog() NSLog(@"%s", __PRETTY_FUNCTION__)
#define MCDebugPrintQuaternion(quat) NSLog(@"Quaternion: [%f] [%f] [%f] [%f]", quat.x, quat.y, quat.z, quat.w)
#ifdef __cplusplus
extern "C" {
#endif
static inline float fastAbs(float x) { return (x < 0) ? -x : x; };
static inline GLfloat fastSinf(GLfloat x) {
// fast sin function; maximum error is 0.001
const float P = 0.225;
x = x * M_1_PI;
int k = (int) round(x);
x = x - k;
float y = (4 - 4 * fastAbs(x)) * x;
y = P * (y * fastAbs(y) - y) + y;
return (k&1) ? -y : y;
};
#pragma mark -
#pragma mark Animation Curves
#define BoundsCheck(t, start, end) \
if (t <= 0.f) return start; \
else if (t >= 1.f) return end;
#pragma mark -
#pragma mark Linear
static inline GLfloat LinearInterpolation(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return t * end + (1.f - t) * start;
}
#pragma mark -
#pragma mark Quadratic
static inline GLfloat QuadraticEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return -end * t * (t - 2.f) -1.f;
}
static inline GLfloat QuadraticEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * t * t + start - 1.f;
}
static inline GLfloat QuadraticEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.f;
if (t < 1.f) return end/2.f * t * t + start - 1.f;
t--;
return -end/2.f * (t*(t-2) - 1) + start - 1.f;
}
#pragma mark -
#pragma mark Cubic
static inline GLfloat CubicEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t--;
return end*(t * t * t + 1.f) + start - 1.f;
}
static inline GLfloat CubicEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * t * t * t+ start - 1.f;
}
static inline GLfloat CubicEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.;
if (t < 1.) return end/2 * t * t * t + start - 1.f;
t -= 2;
return end/2*(t * t * t + 2) + start - 1.f;
}
#pragma mark -
#pragma mark Quintic
static inline GLfloat QuarticEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t--;
return -end * (t * t * t * t - 1) + start - 1.f;
}
static inline GLfloat QuarticEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * t * t * t * t + start;
}
static inline GLfloat QuarticEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.f;
if (t < 1.f)
return end/2.f * t * t * t * t + start - 1.f;
t -= 2.f;
return -end/2.f * (t * t * t * t - 2.f) + start - 1.f;
}
#pragma mark -
#pragma mark Quintic
static inline GLfloat QuinticEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t--;
return end * (t * t * t * t * t + 1) + start - 1.f;
}
static inline GLfloat QuinticEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * t * t * t * t * t + start - 1.f;
}
static inline GLfloat QuinticEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.f;
if (t < 1.f)
return end/2 * t * t * t * t * t + start - 1.f;
t -= 2;
return end/2 * ( t * t * t * t * t + 2) + start - 1.f;
}
#pragma mark -
#pragma mark Sinusoidal
static inline GLfloat SinusoidalEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * sinf(t * (M_PI/2)) + start - 1.f;
}
static inline GLfloat SinusoidalEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return -end * cosf(t * (M_PI/2)) + end + start - 1.f;
}
static inline GLfloat SinusoidalEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return -end/2.f * (cosf(M_PI*t) - 1.f) + start - 1.f;
}
#pragma mark -
#pragma mark Exponential
static inline GLfloat ExponentialEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * (-powf(2.f, -10.f * t) + 1.f ) + start - 1.f;
}
static inline GLfloat ExponentialEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return end * powf(2.f, 10.f * (t - 1.f) ) + start - 1.f;
}
static inline GLfloat ExponentialEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.f;
if (t < 1.f)
return end/2.f * powf(2.f, 10.f * (t - 1.f) ) + start - 1.f;
t--;
return end/2.f * ( -powf(2.f, -10.f * t) + 2.f ) + start - 1.f;
}
#pragma mark -
#pragma mark Circular
static inline GLfloat CircularEaseOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t--;
return end * sqrtf(1.f - t * t) + start - 1.f;
}
static inline GLfloat CircularEaseIn(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
return -end * (sqrtf(1.f - t * t) - 1.f) + start - 1.f;
}
static inline GLfloat CircularEaseInOut(GLclampf t, GLfloat start, GLfloat end) {
BoundsCheck(t, start, end);
t *= 2.f;
if (t < 1.f)
return -end/2.f * (sqrtf(1.f - t * t) - 1.f) + start - 1.f;
t -= 2.f;
return end/2.f * (sqrtf(1.f - t * t) + 1.f) + start - 1.f;
}
#ifdef __cplusplus
}
#endif
#endif