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Diffstat (limited to 'apps/plugins/sdl/progs/quake/mathlib.c')
| -rw-r--r-- | apps/plugins/sdl/progs/quake/mathlib.c | 583 |
1 files changed, 583 insertions, 0 deletions
diff --git a/apps/plugins/sdl/progs/quake/mathlib.c b/apps/plugins/sdl/progs/quake/mathlib.c new file mode 100644 index 0000000..2dc8c6f --- /dev/null +++ b/apps/plugins/sdl/progs/quake/mathlib.c @@ -0,0 +1,583 @@ +/* +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 WITHOUT ANY WARRANTY; without 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. + +*/ +// mathlib.c -- math primitives + +#include <math.h> +#include "quakedef.h" + +void Sys_Error (char *error, ...); + +vec3_t vec3_origin = {0,0,0}; +int nanmask = 255<<23; + +/*-----------------------------------------------------------------*/ + +#define DEG2RAD( a ) ( a * M_PI ) / 180.0F + +void ProjectPointOnPlane( vec3_t dst, const vec3_t p, const vec3_t normal ) +{ + float d; + vec3_t n; + float inv_denom; + + inv_denom = 1.0F / DotProduct( normal, normal ); + + d = DotProduct( normal, p ) * inv_denom; + + n[0] = normal[0] * inv_denom; + n[1] = normal[1] * inv_denom; + n[2] = normal[2] * inv_denom; + + dst[0] = p[0] - d * n[0]; + dst[1] = p[1] - d * n[1]; + dst[2] = p[2] - d * n[2]; +} + +/* +** assumes "src" is normalized +*/ +void PerpendicularVector( vec3_t dst, const vec3_t src ) +{ + int pos; + int i; + float minelem = 1.0F; + vec3_t tempvec; + + /* + ** find the smallest magnitude axially aligned vector + */ + for ( pos = 0, i = 0; i < 3; i++ ) + { + if ( fabs( src[i] ) < minelem ) + { + pos = i; + minelem = fabs( src[i] ); + } + } + tempvec[0] = tempvec[1] = tempvec[2] = 0.0F; + tempvec[pos] = 1.0F; + + /* + ** project the point onto the plane defined by src + */ + ProjectPointOnPlane( dst, tempvec, src ); + + /* + ** normalize the result + */ + VectorNormalize( dst ); +} + +#ifdef _WIN32 +#pragma optimize( "", off ) +#endif + + +void RotatePointAroundVector( vec3_t dst, const vec3_t dir, const vec3_t point, float degrees ) +{ + float m[3][3]; + float im[3][3]; + float zrot[3][3]; + float tmpmat[3][3]; + float rot[3][3]; + int i; + vec3_t vr, vup, vf; + + vf[0] = dir[0]; + vf[1] = dir[1]; + vf[2] = dir[2]; + + PerpendicularVector( vr, dir ); + CrossProduct( vr, vf, vup ); + + m[0][0] = vr[0]; + m[1][0] = vr[1]; + m[2][0] = vr[2]; + + m[0][1] = vup[0]; + m[1][1] = vup[1]; + m[2][1] = vup[2]; + + m[0][2] = vf[0]; + m[1][2] = vf[1]; + m[2][2] = vf[2]; + + memcpy( im, m, sizeof( im ) ); + + im[0][1] = m[1][0]; + im[0][2] = m[2][0]; + im[1][0] = m[0][1]; + im[1][2] = m[2][1]; + im[2][0] = m[0][2]; + im[2][1] = m[1][2]; + + memset( zrot, 0, sizeof( zrot ) ); + zrot[0][0] = zrot[1][1] = zrot[2][2] = 1.0F; + + zrot[0][0] = cos( DEG2RAD( degrees ) ); + zrot[0][1] = sin( DEG2RAD( degrees ) ); + zrot[1][0] = -sin( DEG2RAD( degrees ) ); + zrot[1][1] = cos( DEG2RAD( degrees ) ); + + R_ConcatRotations( m, zrot, tmpmat ); + R_ConcatRotations( tmpmat, im, rot ); + + for ( i = 0; i < 3; i++ ) + { + dst[i] = rot[i][0] * point[0] + rot[i][1] * point[1] + rot[i][2] * point[2]; + } +} + +#ifdef _WIN32 +#pragma optimize( "", on ) +#endif + +/*-----------------------------------------------------------------*/ + + +float anglemod(float a) +{ +#if 0 + if (a >= 0) + a -= 360*(int)(a/360); + else + a += 360*( 1 + (int)(-a/360) ); +#endif + a = (360.0/65536) * ((int)(a*(65536/360.0)) & 65535); + return a; +} + +/* +================== +BOPS_Error + +Split out like this for ASM to call. +================== +*/ +void BOPS_Error (void) +{ + Sys_Error ("BoxOnPlaneSide: Bad signbits"); +} + + +#if !id386 + +/* +================== +BoxOnPlaneSide + +Returns 1, 2, or 1 + 2 +================== +*/ +int BoxOnPlaneSide (vec3_t emins, vec3_t emaxs, mplane_t *p) +{ + float dist1, dist2; + int sides; + +#if 0 // this is done by the BOX_ON_PLANE_SIDE macro before calling this + // function +// fast axial cases + if (p->type < 3) + { + if (p->dist <= emins[p->type]) + return 1; + if (p->dist >= emaxs[p->type]) + return 2; + return 3; + } +#endif + +// general case + switch (p->signbits) + { + case 0: +dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2]; +dist2 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2]; + break; + case 1: +dist1 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2]; +dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2]; + break; + case 2: +dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2]; +dist2 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2]; + break; + case 3: +dist1 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2]; +dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2]; + break; + case 4: +dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2]; +dist2 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2]; + break; + case 5: +dist1 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2]; +dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2]; + break; + case 6: +dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2]; +dist2 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2]; + break; + case 7: +dist1 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2]; +dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2]; + break; + default: + dist1 = dist2 = 0; // shut up compiler + BOPS_Error (); + break; + } + +#if 0 + int i; + vec3_t corners[2]; + + for (i=0 ; i<3 ; i++) + { + if (plane->normal[i] < 0) + { + corners[0][i] = emins[i]; + corners[1][i] = emaxs[i]; + } + else + { + corners[1][i] = emins[i]; + corners[0][i] = emaxs[i]; + } + } + dist = DotProduct (plane->normal, corners[0]) - plane->dist; + dist2 = DotProduct (plane->normal, corners[1]) - plane->dist; + sides = 0; + if (dist1 >= 0) + sides = 1; + if (dist2 < 0) + sides |= 2; + +#endif + + sides = 0; + if (dist1 >= p->dist) + sides = 1; + if (dist2 < p->dist) + sides |= 2; + +#ifdef PARANOID +if (sides == 0) + Sys_Error ("BoxOnPlaneSide: sides==0"); +#endif + + return sides; +} + +#endif + + +void AngleVectors (vec3_t angles, vec3_t forward, vec3_t right, vec3_t up) +{ + float angle; + float sr, sp, sy, cr, cp, cy; + + angle = angles[YAW] * (M_PI*2 / 360); + sy = sin(angle); + cy = cos(angle); + angle = angles[PITCH] * (M_PI*2 / 360); + sp = sin(angle); + cp = cos(angle); + angle = angles[ROLL] * (M_PI*2 / 360); + sr = sin(angle); + cr = cos(angle); + + forward[0] = cp*cy; + forward[1] = cp*sy; + forward[2] = -sp; + right[0] = (-1*sr*sp*cy+-1*cr*-sy); + right[1] = (-1*sr*sp*sy+-1*cr*cy); + right[2] = -1*sr*cp; + up[0] = (cr*sp*cy+-sr*-sy); + up[1] = (cr*sp*sy+-sr*cy); + up[2] = cr*cp; +} + +int VectorCompare (vec3_t v1, vec3_t v2) +{ + int i; + + for (i=0 ; i<3 ; i++) + if (v1[i] != v2[i]) + return 0; + + return 1; +} + +void VectorMA (vec3_t veca, float scale, vec3_t vecb, vec3_t vecc) +{ + vecc[0] = veca[0] + scale*vecb[0]; + vecc[1] = veca[1] + scale*vecb[1]; + vecc[2] = veca[2] + scale*vecb[2]; +} + + +vec_t _DotProduct (vec3_t v1, vec3_t v2) +{ + return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]; +} + +void _VectorSubtract (vec3_t veca, vec3_t vecb, vec3_t out) +{ + out[0] = veca[0]-vecb[0]; + out[1] = veca[1]-vecb[1]; + out[2] = veca[2]-vecb[2]; +} + +void _VectorAdd (vec3_t veca, vec3_t vecb, vec3_t out) +{ + out[0] = veca[0]+vecb[0]; + out[1] = veca[1]+vecb[1]; + out[2] = veca[2]+vecb[2]; +} + +void _VectorCopy (vec3_t in, vec3_t out) +{ + out[0] = in[0]; + out[1] = in[1]; + out[2] = in[2]; +} + +void CrossProduct (vec3_t v1, vec3_t v2, vec3_t cross) +{ + cross[0] = v1[1]*v2[2] - v1[2]*v2[1]; + cross[1] = v1[2]*v2[0] - v1[0]*v2[2]; + cross[2] = v1[0]*v2[1] - v1[1]*v2[0]; +} + +vec_t Length(vec3_t v) +{ + int i; + float length; + + length = 0; + for (i=0 ; i< 3 ; i++) + length += v[i]*v[i]; + length = sqrt (length); // FIXME + + return length; +} + +float VectorNormalize (vec3_t v) +{ + float length, ilength; + + length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2]; + length = sqrt (length); // FIXME + + if (length) + { + ilength = 1/length; + v[0] *= ilength; + v[1] *= ilength; + v[2] *= ilength; + } + + return length; + +} + +void VectorInverse (vec3_t v) +{ + v[0] = -v[0]; + v[1] = -v[1]; + v[2] = -v[2]; +} + +void VectorScale (vec3_t in, vec_t scale, vec3_t out) +{ + out[0] = in[0]*scale; + out[1] = in[1]*scale; + out[2] = in[2]*scale; +} + + +int Q_log2(int val) +{ + int answer=0; + while (val>>=1) + answer++; + return answer; +} + + +/* +================ +R_ConcatRotations +================ +*/ +void R_ConcatRotations (float in1[3][3], float in2[3][3], float out[3][3]) +{ + out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] + + in1[0][2] * in2[2][0]; + out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] + + in1[0][2] * in2[2][1]; + out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] + + in1[0][2] * in2[2][2]; + out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] + + in1[1][2] * in2[2][0]; + out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] + + in1[1][2] * in2[2][1]; + out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] + + in1[1][2] * in2[2][2]; + out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] + + in1[2][2] * in2[2][0]; + out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] + + in1[2][2] * in2[2][1]; + out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] + + in1[2][2] * in2[2][2]; +} + + +/* +================ +R_ConcatTransforms +================ +*/ +void R_ConcatTransforms (float in1[3][4], float in2[3][4], float out[3][4]) +{ + out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] + + in1[0][2] * in2[2][0]; + out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] + + in1[0][2] * in2[2][1]; + out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] + + in1[0][2] * in2[2][2]; + out[0][3] = in1[0][0] * in2[0][3] + in1[0][1] * in2[1][3] + + in1[0][2] * in2[2][3] + in1[0][3]; + out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] + + in1[1][2] * in2[2][0]; + out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] + + in1[1][2] * in2[2][1]; + out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] + + in1[1][2] * in2[2][2]; + out[1][3] = in1[1][0] * in2[0][3] + in1[1][1] * in2[1][3] + + in1[1][2] * in2[2][3] + in1[1][3]; + out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] + + in1[2][2] * in2[2][0]; + out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] + + in1[2][2] * in2[2][1]; + out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] + + in1[2][2] * in2[2][2]; + out[2][3] = in1[2][0] * in2[0][3] + in1[2][1] * in2[1][3] + + in1[2][2] * in2[2][3] + in1[2][3]; +} + + +/* +=================== +FloorDivMod + +Returns mathematically correct (floor-based) quotient and remainder for +numer and denom, both of which should contain no fractional part. The +quotient must fit in 32 bits. +==================== +*/ + +void FloorDivMod (double numer, double denom, int *quotient, + int *rem) +{ + int q, r; + double x; + +#ifndef PARANOID + if (denom <= 0.0) + Sys_Error ("FloorDivMod: bad denominator %d\n", denom); + +// if ((floor(numer) != numer) || (floor(denom) != denom)) +// Sys_Error ("FloorDivMod: non-integer numer or denom %f %f\n", +// numer, denom); +#endif + + if (numer >= 0.0) + { + + x = floor(numer / denom); + q = (int)x; + r = (int)floor(numer - (x * denom)); + } + else + { + // + // perform operations with positive values, and fix mod to make floor-based + // + x = floor(-numer / denom); + q = -(int)x; + r = (int)floor(-numer - (x * denom)); + if (r != 0) + { + q--; + r = (int)denom - r; + } + } + + *quotient = q; + *rem = r; +} + + +/* +=================== +GreatestCommonDivisor +==================== +*/ +int GreatestCommonDivisor (int i1, int i2) +{ + if (i1 > i2) + { + if (i2 == 0) + return (i1); + return GreatestCommonDivisor (i2, i1 % i2); + } + else + { + if (i1 == 0) + return (i2); + return GreatestCommonDivisor (i1, i2 % i1); + } +} + + +#if !id386 + +// TODO: move to nonintel.c + +/* +=================== +Invert24To16 + +Inverts an 8.24 value to a 16.16 value +==================== +*/ + +fixed16_t Invert24To16(fixed16_t val) +{ + if (val < 256) + return (0xFFFFFFFF); + + return (fixed16_t) + (((double)0x10000 * (double)0x1000000 / (double)val) + 0.5); +} + +#endif |