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GraphicsGems.h
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1992-06-16
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/*
* GraphicsGems.h
* Version 1.0 - Andrew Glassner
* from "Graphics Gems", Academic Press, 1990
*/
#ifndef GG_H
#define GG_H 1
/*********************/
/* 2d geometry types */
/*********************/
typedef struct Point2Struct { /* 2d point */
double x, y;
} Point2;
typedef Point2 Vector2;
typedef struct IntPoint2Struct { /* 2d integer point */
int x, y;
} IntPoint2;
typedef struct Matrix3Struct { /* 3-by-3 matrix */
double element[3][3];
} Matrix3;
typedef struct Box2dStruct { /* 2d box */
Point2 min, max;
} Box2;
/*********************/
/* 3d geometry types */
/*********************/
typedef struct Point3Struct { /* 3d point */
double x, y, z;
} Point3;
typedef Point3 Vector3;
typedef struct IntPoint3Struct { /* 3d integer point */
int x, y, z;
} IntPoint3;
typedef struct Matrix4Struct { /* 4-by-4 matrix */
double element[4][4];
} Matrix4;
typedef struct Box3dStruct { /* 3d box */
Point3 min, max;
} Box3;
/***********************/
/* one-argument macros */
/***********************/
/* absolute value of a */
#define ABS(a) (((a)<0) ? -(a) : (a))
/* round a to nearest integer towards 0 */
#define FLOOR(a) ((a)>0 ? (int)(a) : -(int)(-a))
/* round a to nearest integer away from 0 */
#define CEILING(a) \
((a)==(int)(a) ? (a) : (a)>0 ? 1+(int)(a) : -(1+(int)(-a)))
/* round a to nearest int */
#define ROUND(a) ((a)>0 ? (int)(a+0.5) : -(int)(0.5-a))
/* take sign of a, either -1, 0, or 1 */
#define ZSGN(a) (((a)<0) ? -1 : (a)>0 ? 1 : 0)
/* take binary sign of a, either -1, or 1 if >= 0 */
#define SGN(a) (((a)<0) ? -1 : 0)
/* shout if something that should be true isn't */
#define ASSERT(x) \
if (!(x)) fprintf(stderr," Assert failed: x\n");
/* square a */
#define SQR(a) ((a)*(a))
/***********************/
/* two-argument macros */
/***********************/
/* find minimum of a and b */
#define MIN(a,b) (((a)<(b))?(a):(b))
/* find maximum of a and b */
#define MAX(a,b) (((a)>(b))?(a):(b))
/* swap a and b (see Gem by Wyvill) */
#define SWAP(a,b) { a^=b; b^=a; a^=b; }
/* linear interpolation from l (when a=0) to h (when a=1)*/
/* (equal to (a*h)+((1-a)*l) */
#define LERP(a,l,h) ((l)+(((h)-(l))*(a)))
/* clamp the input to the specified range */
#define CLAMP(v,l,h) ((v)<(l) ? (l) : (v) > (h) ? (h) : v)
/****************************/
/* memory allocation macros */
/****************************/
/* create a new instance of a structure (see Gem by Hultquist) */
#define NEWSTRUCT(x) (struct x *)(malloc((unsigned)sizeof(struct x)))
/* create a new instance of a type */
#define NEWTYPE(x) (x *)(malloc((unsigned)sizeof(x)))
/********************/
/* useful constants */
/********************/
#define PI 3.141592 /* the venerable pi */
#define PITIMES2 6.283185 /* 2 * pi */
#define PIOVER2 1.570796 /* pi / 2 */
#define E 2.718282 /* the venerable e */
#define SQRT2 1.414214 /* sqrt(2) */
#define SQRT3 1.732051 /* sqrt(3) */
#define GOLDEN 1.618034 /* the golden ratio */
#define DTOR 0.017453 /* convert degrees to radians */
#define RTOD 57.29578 /* convert radians to degrees */
/************/
/* booleans */
/************/
#define TRUE 1
#define FALSE 0
#define ON 1
#define OFF 0
typedef int boolean; /* boolean data type */
typedef boolean flag; /* flag data type */
extern double V2SquaredLength(), V2Length();
extern double V2Dot(), V2DistanceBetween2Points();
extern Vector2 *V2Negate(), *V2Normalize(), *V2Scale(), *V2Add(), *V2Sub();
extern Vector2 *V2Lerp(), *V2Combine(), *V2Mul(), *V2MakePerpendicular();
extern Vector2 *V2New(), *V2Duplicate();
extern Point2 *V2MulPointByProjMatrix();
extern Matrix3 *V2MatMul(), *TransposeMatrix3();
extern double V3SquaredLength(), V3Length();
extern double V3Dot(), V3DistanceBetween2Points();
extern Vector3 *V3Normalize(), *V3Scale(), *V3Add(), *V3Sub();
extern Vector3 *V3Lerp(), *V3Combine(), *V3Mul(), *V3Cross();
extern Vector3 *V3New(), *V3Duplicate();
extern Point3 *V3MulPointByMatrix(), *V3MulPointByProjMatrix();
extern Matrix4 *V3MatMul();
extern double RegulaFalsi(), NewtonRaphson(), findroot();
#endif