/* Copyright (C) 1996-1997 Id Software, Inc. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITH(out) ANY WARRANTY; with(out) even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #ifndef __MATHLIB_H_ #define __MATHLIB_H_ typedef float vec_t; typedef vec_t vec3_t[3]; typedef vec_t vec5_t[5]; typedef int fixed4_t; typedef int fixed8_t; typedef int fixed16_t; struct mplane_s; #define PITCH 0 // up / down #define YAW 1 // left / right #define ROLL 2 // fall over #ifndef M_PI #define M_PI 3.14159265358979323846 // matches value in gcc (v2) math.h #endif #define DEG2RAD(a) (((a) * M_PI) / 180.0F) #define RAD2DEG(a) (((a) * 180.0F) / M_PI) #define NANMASK (255 << 23) #define IS_NAN(x) (((*(int *) &(x)) & NANMASK) == NANMASK) #define Q_rint(x) ((x) > 0 ? (int) ((x) + 0.5) : (int) ((x) - 0.5)) #define DotProduct(x,y) ((x)[0] * (y)[0] + (x)[1] * (y)[1] + (x)[2] * (y)[2]) #define VectorSubtract(a,b,c) ((c)[0] = (a)[0] - (b)[0], (c)[1] = (a)[1] - (b)[1], (c)[2] = (a)[2] - (b)[2]) #define VectorAdd(a,b,c) ((c)[0] = (a)[0] + (b)[0], (c)[1] = (a)[1] + (b)[1], (c)[2] = (a)[2] + (b)[2]) #define VectorCopy(a,b) ((b)[0] = (a)[0], (b)[1] = (a)[1], (b)[2] = (a)[2]) #define VectorClear(a) ((a)[0] = (a)[1] = (a)[2] = 0) #define VectorNegate(a,b) ((b)[0] = -(a)[0], (b)[1] = -(a)[1], (b)[2] = -(a)[2]) #define VectorSet(v, x, y, z) ((v)[0] = ((x)), (v)[1] = (y), (v)[2] = (z)) #define CrossProduct(v1, v2, x) \ ((x)[0] = (v1)[1] * (v2)[2] - (v1)[2] * (v2)[1], \ (x)[1] = (v1)[2] * (v2)[0] - (v1)[0] * (v2)[2], \ (x)[2] = (v1)[0] * (v2)[1] - (v1)[1] * (v2)[0]) #define VectorSupCompare(v, w, m) \ (_mathlib_temp_float1 = m, \ (v)[0] - (w)[0] > -_mathlib_temp_float1 && (v)[0] - (w)[0] < _mathlib_temp_float1 && \ (v)[1] - (w)[1] > -_mathlib_temp_float1 && (v)[1] - (w)[1] < _mathlib_temp_float1 && \ (v)[2] - (w)[2] > -_mathlib_temp_float1 && (v)[2] - (w)[2] < _mathlib_temp_float1) #define VectorL2Compare(v, w, m) \ (_mathlib_temp_float1 = (m) * (m), \ _mathlib_temp_vec1[0] = (v)[0] - (w)[0], _mathlib_temp_vec1[1] = (v)[1] - (w)[1], _mathlib_temp_vec1[2] = (v)[2] - (w)[2], \ _mathlib_temp_vec1[0] * _mathlib_temp_vec1[0] + \ _mathlib_temp_vec1[1] * _mathlib_temp_vec1[1] + \ _mathlib_temp_vec1[2] * _mathlib_temp_vec1[2] < _mathlib_temp_float1) #define VectorCompare(v, w) ((v)[0] == (w)[0] && (v)[1] == (w)[1] && (v)[2] == (w)[2]) #define VectorMA(a, _f, b, c) \ do { \ _mathlib_temp_float1 = (_f); \ (c)[0] = (a)[0] + _mathlib_temp_float1 * (b)[0]; \ (c)[1] = (a)[1] + _mathlib_temp_float1 * (b)[1]; \ (c)[2] = (a)[2] + _mathlib_temp_float1 * (b)[2]; \ } while(0); #define VectorScale(in, _scale, out) \ do { \ float scale = (_scale); \ (out)[0] = (in)[0] * (scale); (out)[1] = (in)[1] * (scale); (out)[2] = (in)[2] * (scale); \ } while (0); #define anglemod(a) ((360.0 / 65536) * ((int) ((a) * (65536 / 360.0)) & 65535)) #define VectorNormalizeFast(_v) \ do { \ _mathlib_temp_float1 = DotProduct((_v), (_v)); \ if (_mathlib_temp_float1) { \ _mathlib_temp_float2 = 0.5f * _mathlib_temp_float1; \ _mathlib_temp_int1 = *((int *) &_mathlib_temp_float1); \ _mathlib_temp_int1 = 0x5f375a86 - (_mathlib_temp_int1 >> 1); \ _mathlib_temp_float1 = *((float *) &_mathlib_temp_int1); \ _mathlib_temp_float1 = _mathlib_temp_float1 * (1.5f - _mathlib_temp_float2 * _mathlib_temp_float1 * _mathlib_temp_float1); \ VectorScale((_v), _mathlib_temp_float1, (_v)) \ } \ } while (0); #define BOX_ON_PLANE_SIDE(emins, emaxs, p) \ (((p)->type < 3) ? \ ( \ ((p)->dist <= (emins)[(p)->type]) ? \ 1 \ : \ ( \ ((p)->dist >= (emaxs)[(p)->type]) ? \ 2 \ : \ 3 \ ) \ ) \ : \ BoxOnPlaneSide((emins), (emaxs), (p))) #define VectorInterpolate(v1, _frac, v2, v) \ do { \ _mathlib_temp_float1 = _frac; \ \ (v)[0] = (v1)[0] + _mathlib_temp_float1 * ((v2)[0] - (v1)[0]); \ (v)[1] = (v1)[1] + _mathlib_temp_float1 * ((v2)[1] - (v1)[1]); \ (v)[2] = (v1)[2] + _mathlib_temp_float1 * ((v2)[2] - (v1)[2]); \ } while (0); #define AngleInterpolate(v1, _frac, v2, v) \ do { \ _mathlib_temp_float1 = _frac; \ VectorSubtract((v2), (v1), _mathlib_temp_vec1); \ \ if (_mathlib_temp_vec1[0] > 180) _mathlib_temp_vec1[0] -= 360; \ else if (_mathlib_temp_vec1[0] < -180) _mathlib_temp_vec1[0] += 360; \ if (_mathlib_temp_vec1[1] > 180) _mathlib_temp_vec1[1] -= 360; \ else if (_mathlib_temp_vec1[1] < -180) _mathlib_temp_vec1[1] += 360; \ if (_mathlib_temp_vec1[2] > 180) _mathlib_temp_vec1[2] -= 360; \ else if (_mathlib_temp_vec1[2] < -180) _mathlib_temp_vec1[2] += 360; \ \ (v)[0] = (v1)[0] + _mathlib_temp_float1 * _mathlib_temp_vec1[0]; \ (v)[1] = (v1)[1] + _mathlib_temp_float1 * _mathlib_temp_vec1[1]; \ (v)[2] = (v1)[2] + _mathlib_temp_float1 * _mathlib_temp_vec1[2]; \ } while (0); #define FloatInterpolate(f1, _frac, f2) \ (_mathlib_temp_float1 = _frac, \ (f1) + _mathlib_temp_float1 * ((f2) - (f1))) #define PlaneDist(point, plane) ( \ (plane)->type < 3 ? (point)[(plane)->type] : DotProduct((point), (plane)->normal) \ ) #define PlaneDiff(point, plane) ( \ (((plane)->type < 3) ? (point)[(plane)->type] - (plane)->dist: DotProduct((point), (plane)->normal) - (plane)->dist) \ ) void VectorVectors(vec3_t forward, vec3_t right, vec3_t up); vec_t VectorLength (vec3_t v); float VectorNormalize (vec3_t v); // returns vector length void R_ConcatRotations (float in1[3][3], float in2[3][3], float (out)[3][3]); void R_ConcatTransforms (float in1[3][4], float in2[3][4], float (out)[3][4]); void FloorDivMod (double numer, double denom, int *quotient, int *rem); fixed16_t Invert24To16(fixed16_t val); fixed16_t Mul16_30(fixed16_t multiplier, fixed16_t multiplicand); int GreatestCommonDivisor (int i1, int i2); void AngleVectors (vec3_t angles, vec3_t forward, vec3_t right, vec3_t up); int BoxOnPlaneSide (vec3_t emins, vec3_t emaxs, struct mplane_s *plane); void ProjectPointOnPlane(vec3_t dst, const vec3_t p, const vec3_t normal); void PerpendicularVector(vec3_t dst, const vec3_t src); void RotatePointAroundVector(vec3_t dst, const vec3_t dir, const vec3_t point, float degrees); extern vec3_t vec3_origin; extern int _mathlib_temp_int1, _mathlib_temp_int2, _mathlib_temp_int3; extern float _mathlib_temp_float1, _mathlib_temp_float2, _mathlib_temp_float3; extern vec3_t _mathlib_temp_vec1, _mathlib_temp_vec2, _mathlib_temp_vec3; #endif //__MATHLIB_H_