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Diffstat (limited to 'code/qcommon/q_math.c')
| -rw-r--r-- | code/qcommon/q_math.c | 1009 |
1 files changed, 1009 insertions, 0 deletions
diff --git a/code/qcommon/q_math.c b/code/qcommon/q_math.c new file mode 100644 index 0000000..d2e0187 --- /dev/null +++ b/code/qcommon/q_math.c @@ -0,0 +1,1009 @@ +/* +=========================================================================== +Copyright (C) 1999-2005 Id Software, Inc. + +This file is part of Quake III Arena source code. + +Quake III Arena source code 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. + +Quake III Arena source code 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 Quake III Arena source code; if not, write to the Free Software +Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA +=========================================================================== +*/ +// +// q_math.c -- stateless support routines that are included in each code module + +// Some of the vector functions are static inline in q_shared.h. q3asm +// doesn't understand static functions though, so we only want them in +// one file. That's what this is about. +#ifdef Q3_VM +#define __Q3_VM_MATH +#endif + +#include "q_shared.h" + +vec3_t vec3_origin = {0,0,0}; +vec3_t axisDefault[3] = { { 1, 0, 0 }, { 0, 1, 0 }, { 0, 0, 1 } }; + + +vec4_t colorBlack = {0, 0, 0, 1}; +vec4_t colorRed = {1, 0, 0, 1}; +vec4_t colorGreen = {0, 1, 0, 1}; +vec4_t colorBlue = {0, 0, 1, 1}; +vec4_t colorYellow = {1, 1, 0, 1}; +vec4_t colorMagenta= {1, 0, 1, 1}; +vec4_t colorCyan = {0, 1, 1, 1}; +vec4_t colorWhite = {1, 1, 1, 1}; +vec4_t colorLtGrey = {0.75, 0.75, 0.75, 1}; +vec4_t colorMdGrey = {0.5, 0.5, 0.5, 1}; +vec4_t colorDkGrey = {0.25, 0.25, 0.25, 1}; + +vec4_t g_color_table[8] = + { + {0.0, 0.0, 0.0, 1.0}, + {1.0, 0.0, 0.0, 1.0}, + {0.0, 1.0, 0.0, 1.0}, + {1.0, 1.0, 0.0, 1.0}, + {0.0, 0.0, 1.0, 1.0}, + {0.0, 1.0, 1.0, 1.0}, + {1.0, 0.0, 1.0, 1.0}, + {1.0, 1.0, 1.0, 1.0}, + }; + + +vec3_t bytedirs[NUMVERTEXNORMALS] = +{ +{-0.525731f, 0.000000f, 0.850651f}, {-0.442863f, 0.238856f, 0.864188f}, +{-0.295242f, 0.000000f, 0.955423f}, {-0.309017f, 0.500000f, 0.809017f}, +{-0.162460f, 0.262866f, 0.951056f}, {0.000000f, 0.000000f, 1.000000f}, +{0.000000f, 0.850651f, 0.525731f}, {-0.147621f, 0.716567f, 0.681718f}, +{0.147621f, 0.716567f, 0.681718f}, {0.000000f, 0.525731f, 0.850651f}, +{0.309017f, 0.500000f, 0.809017f}, {0.525731f, 0.000000f, 0.850651f}, +{0.295242f, 0.000000f, 0.955423f}, {0.442863f, 0.238856f, 0.864188f}, +{0.162460f, 0.262866f, 0.951056f}, {-0.681718f, 0.147621f, 0.716567f}, +{-0.809017f, 0.309017f, 0.500000f},{-0.587785f, 0.425325f, 0.688191f}, +{-0.850651f, 0.525731f, 0.000000f},{-0.864188f, 0.442863f, 0.238856f}, +{-0.716567f, 0.681718f, 0.147621f},{-0.688191f, 0.587785f, 0.425325f}, +{-0.500000f, 0.809017f, 0.309017f}, {-0.238856f, 0.864188f, 0.442863f}, +{-0.425325f, 0.688191f, 0.587785f}, {-0.716567f, 0.681718f, -0.147621f}, +{-0.500000f, 0.809017f, -0.309017f}, {-0.525731f, 0.850651f, 0.000000f}, +{0.000000f, 0.850651f, -0.525731f}, {-0.238856f, 0.864188f, -0.442863f}, +{0.000000f, 0.955423f, -0.295242f}, {-0.262866f, 0.951056f, -0.162460f}, +{0.000000f, 1.000000f, 0.000000f}, {0.000000f, 0.955423f, 0.295242f}, +{-0.262866f, 0.951056f, 0.162460f}, {0.238856f, 0.864188f, 0.442863f}, +{0.262866f, 0.951056f, 0.162460f}, {0.500000f, 0.809017f, 0.309017f}, +{0.238856f, 0.864188f, -0.442863f},{0.262866f, 0.951056f, -0.162460f}, +{0.500000f, 0.809017f, -0.309017f},{0.850651f, 0.525731f, 0.000000f}, +{0.716567f, 0.681718f, 0.147621f}, {0.716567f, 0.681718f, -0.147621f}, +{0.525731f, 0.850651f, 0.000000f}, {0.425325f, 0.688191f, 0.587785f}, +{0.864188f, 0.442863f, 0.238856f}, {0.688191f, 0.587785f, 0.425325f}, +{0.809017f, 0.309017f, 0.500000f}, {0.681718f, 0.147621f, 0.716567f}, +{0.587785f, 0.425325f, 0.688191f}, {0.955423f, 0.295242f, 0.000000f}, +{1.000000f, 0.000000f, 0.000000f}, {0.951056f, 0.162460f, 0.262866f}, +{0.850651f, -0.525731f, 0.000000f},{0.955423f, -0.295242f, 0.000000f}, +{0.864188f, -0.442863f, 0.238856f}, {0.951056f, -0.162460f, 0.262866f}, +{0.809017f, -0.309017f, 0.500000f}, {0.681718f, -0.147621f, 0.716567f}, +{0.850651f, 0.000000f, 0.525731f}, {0.864188f, 0.442863f, -0.238856f}, +{0.809017f, 0.309017f, -0.500000f}, {0.951056f, 0.162460f, -0.262866f}, +{0.525731f, 0.000000f, -0.850651f}, {0.681718f, 0.147621f, -0.716567f}, +{0.681718f, -0.147621f, -0.716567f},{0.850651f, 0.000000f, -0.525731f}, +{0.809017f, -0.309017f, -0.500000f}, {0.864188f, -0.442863f, -0.238856f}, +{0.951056f, -0.162460f, -0.262866f}, {0.147621f, 0.716567f, -0.681718f}, +{0.309017f, 0.500000f, -0.809017f}, {0.425325f, 0.688191f, -0.587785f}, +{0.442863f, 0.238856f, -0.864188f}, {0.587785f, 0.425325f, -0.688191f}, +{0.688191f, 0.587785f, -0.425325f}, {-0.147621f, 0.716567f, -0.681718f}, +{-0.309017f, 0.500000f, -0.809017f}, {0.000000f, 0.525731f, -0.850651f}, +{-0.525731f, 0.000000f, -0.850651f}, {-0.442863f, 0.238856f, -0.864188f}, +{-0.295242f, 0.000000f, -0.955423f}, {-0.162460f, 0.262866f, -0.951056f}, +{0.000000f, 0.000000f, -1.000000f}, {0.295242f, 0.000000f, -0.955423f}, +{0.162460f, 0.262866f, -0.951056f}, {-0.442863f, -0.238856f, -0.864188f}, +{-0.309017f, -0.500000f, -0.809017f}, {-0.162460f, -0.262866f, -0.951056f}, +{0.000000f, -0.850651f, -0.525731f}, {-0.147621f, -0.716567f, -0.681718f}, +{0.147621f, -0.716567f, -0.681718f}, {0.000000f, -0.525731f, -0.850651f}, +{0.309017f, -0.500000f, -0.809017f}, {0.442863f, -0.238856f, -0.864188f}, +{0.162460f, -0.262866f, -0.951056f}, {0.238856f, -0.864188f, -0.442863f}, +{0.500000f, -0.809017f, -0.309017f}, {0.425325f, -0.688191f, -0.587785f}, +{0.716567f, -0.681718f, -0.147621f}, {0.688191f, -0.587785f, -0.425325f}, +{0.587785f, -0.425325f, -0.688191f}, {0.000000f, -0.955423f, -0.295242f}, +{0.000000f, -1.000000f, 0.000000f}, {0.262866f, -0.951056f, -0.162460f}, +{0.000000f, -0.850651f, 0.525731f}, {0.000000f, -0.955423f, 0.295242f}, +{0.238856f, -0.864188f, 0.442863f}, {0.262866f, -0.951056f, 0.162460f}, +{0.500000f, -0.809017f, 0.309017f}, {0.716567f, -0.681718f, 0.147621f}, +{0.525731f, -0.850651f, 0.000000f}, {-0.238856f, -0.864188f, -0.442863f}, +{-0.500000f, -0.809017f, -0.309017f}, {-0.262866f, -0.951056f, -0.162460f}, +{-0.850651f, -0.525731f, 0.000000f}, {-0.716567f, -0.681718f, -0.147621f}, +{-0.716567f, -0.681718f, 0.147621f}, {-0.525731f, -0.850651f, 0.000000f}, +{-0.500000f, -0.809017f, 0.309017f}, {-0.238856f, -0.864188f, 0.442863f}, +{-0.262866f, -0.951056f, 0.162460f}, {-0.864188f, -0.442863f, 0.238856f}, +{-0.809017f, -0.309017f, 0.500000f}, {-0.688191f, -0.587785f, 0.425325f}, +{-0.681718f, -0.147621f, 0.716567f}, {-0.442863f, -0.238856f, 0.864188f}, +{-0.587785f, -0.425325f, 0.688191f}, {-0.309017f, -0.500000f, 0.809017f}, +{-0.147621f, -0.716567f, 0.681718f}, {-0.425325f, -0.688191f, 0.587785f}, +{-0.162460f, -0.262866f, 0.951056f}, {0.442863f, -0.238856f, 0.864188f}, +{0.162460f, -0.262866f, 0.951056f}, {0.309017f, -0.500000f, 0.809017f}, +{0.147621f, -0.716567f, 0.681718f}, {0.000000f, -0.525731f, 0.850651f}, +{0.425325f, -0.688191f, 0.587785f}, {0.587785f, -0.425325f, 0.688191f}, +{0.688191f, -0.587785f, 0.425325f}, {-0.955423f, 0.295242f, 0.000000f}, +{-0.951056f, 0.162460f, 0.262866f}, {-1.000000f, 0.000000f, 0.000000f}, +{-0.850651f, 0.000000f, 0.525731f}, {-0.955423f, -0.295242f, 0.000000f}, +{-0.951056f, -0.162460f, 0.262866f}, {-0.864188f, 0.442863f, -0.238856f}, +{-0.951056f, 0.162460f, -0.262866f}, {-0.809017f, 0.309017f, -0.500000f}, +{-0.864188f, -0.442863f, -0.238856f}, {-0.951056f, -0.162460f, -0.262866f}, +{-0.809017f, -0.309017f, -0.500000f}, {-0.681718f, 0.147621f, -0.716567f}, +{-0.681718f, -0.147621f, -0.716567f}, {-0.850651f, 0.000000f, -0.525731f}, +{-0.688191f, 0.587785f, -0.425325f}, {-0.587785f, 0.425325f, -0.688191f}, +{-0.425325f, 0.688191f, -0.587785f}, {-0.425325f, -0.688191f, -0.587785f}, +{-0.587785f, -0.425325f, -0.688191f}, {-0.688191f, -0.587785f, -0.425325f} +}; + +//============================================================== + +int Q_rand( int *seed ) { + *seed = (69069 * *seed + 1); + return *seed; +} + +float Q_random( int *seed ) { + return ( Q_rand( seed ) & 0xffff ) / (float)0x10000; +} + +float Q_crandom( int *seed ) { + return 2.0 * ( Q_random( seed ) - 0.5 ); +} + +//======================================================= + +signed char ClampChar( int i ) { + if ( i < -128 ) { + return -128; + } + if ( i > 127 ) { + return 127; + } + return i; +} + +signed short ClampShort( int i ) { + if ( i < -32768 ) { + return -32768; + } + if ( i > 0x7fff ) { + return 0x7fff; + } + return i; +} + + +// this isn't a real cheap function to call! +int DirToByte( vec3_t dir ) { + int i, best; + float d, bestd; + + if ( !dir ) { + return 0; + } + + bestd = 0; + best = 0; + for (i=0 ; i<NUMVERTEXNORMALS ; i++) + { + d = DotProduct (dir, bytedirs[i]); + if (d > bestd) + { + bestd = d; + best = i; + } + } + + return best; +} + +void ByteToDir( int b, vec3_t dir ) { + if ( b < 0 || b >= NUMVERTEXNORMALS ) { + VectorCopy( vec3_origin, dir ); + return; + } + VectorCopy (bytedirs[b], dir); +} + + +unsigned ColorBytes3 (float r, float g, float b) { + unsigned i; + + ( (byte *)&i )[0] = r * 255; + ( (byte *)&i )[1] = g * 255; + ( (byte *)&i )[2] = b * 255; + + return i; +} + +unsigned ColorBytes4 (float r, float g, float b, float a) { + unsigned i; + + ( (byte *)&i )[0] = r * 255; + ( (byte *)&i )[1] = g * 255; + ( (byte *)&i )[2] = b * 255; + ( (byte *)&i )[3] = a * 255; + + return i; +} + +float NormalizeColor( const vec3_t in, vec3_t out ) { + float max; + + max = in[0]; + if ( in[1] > max ) { + max = in[1]; + } + if ( in[2] > max ) { + max = in[2]; + } + + if ( !max ) { + VectorClear( out ); + } else { + out[0] = in[0] / max; + out[1] = in[1] / max; + out[2] = in[2] / max; + } + return max; +} + + +/* +===================== +PlaneFromPoints + +Returns false if the triangle is degenrate. +The normal will point out of the clock for clockwise ordered points +===================== +*/ +qboolean PlaneFromPoints( vec4_t plane, const vec3_t a, const vec3_t b, const vec3_t c ) { + vec3_t d1, d2; + + VectorSubtract( b, a, d1 ); + VectorSubtract( c, a, d2 ); + CrossProduct( d2, d1, plane ); + if ( VectorNormalize( plane ) == 0 ) { + return qfalse; + } + + plane[3] = DotProduct( a, plane ); + return qtrue; +} + +/* +=============== +RotatePointAroundVector + +This is not implemented very well... +=============== +*/ +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; + float rad; + + 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; + + rad = DEG2RAD( degrees ); + zrot[0][0] = cos( rad ); + zrot[0][1] = sin( rad ); + zrot[1][0] = -sin( rad ); + zrot[1][1] = cos( rad ); + + MatrixMultiply( m, zrot, tmpmat ); + MatrixMultiply( 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]; + } +} + +/* +=============== +RotateAroundDirection +=============== +*/ +void RotateAroundDirection( vec3_t axis[3], float yaw ) { + + // create an arbitrary axis[1] + PerpendicularVector( axis[1], axis[0] ); + + // rotate it around axis[0] by yaw + if ( yaw ) { + vec3_t temp; + + VectorCopy( axis[1], temp ); + RotatePointAroundVector( axis[1], axis[0], temp, yaw ); + } + + // cross to get axis[2] + CrossProduct( axis[0], axis[1], axis[2] ); +} + + + +void vectoangles( const vec3_t value1, vec3_t angles ) { + float forward; + float yaw, pitch; + + if ( value1[1] == 0 && value1[0] == 0 ) { + yaw = 0; + if ( value1[2] > 0 ) { + pitch = 90; + } + else { + pitch = 270; + } + } + else { + if ( value1[0] ) { + yaw = ( atan2 ( value1[1], value1[0] ) * 180 / M_PI ); + } + else if ( value1[1] > 0 ) { + yaw = 90; + } + else { + yaw = 270; + } + if ( yaw < 0 ) { + yaw += 360; + } + + forward = sqrt ( value1[0]*value1[0] + value1[1]*value1[1] ); + pitch = ( atan2(value1[2], forward) * 180 / M_PI ); + if ( pitch < 0 ) { + pitch += 360; + } + } + + angles[PITCH] = -pitch; + angles[YAW] = yaw; + angles[ROLL] = 0; +} + + +/* +================= +AnglesToAxis +================= +*/ +void AnglesToAxis( const vec3_t angles, vec3_t axis[3] ) { + vec3_t right; + + // angle vectors returns "right" instead of "y axis" + AngleVectors( angles, axis[0], right, axis[2] ); + VectorSubtract( vec3_origin, right, axis[1] ); +} + +void AxisClear( vec3_t axis[3] ) { + axis[0][0] = 1; + axis[0][1] = 0; + axis[0][2] = 0; + axis[1][0] = 0; + axis[1][1] = 1; + axis[1][2] = 0; + axis[2][0] = 0; + axis[2][1] = 0; + axis[2][2] = 1; +} + +void AxisCopy( vec3_t in[3], vec3_t out[3] ) { + VectorCopy( in[0], out[0] ); + VectorCopy( in[1], out[1] ); + VectorCopy( in[2], out[2] ); +} + +void ProjectPointOnPlane( vec3_t dst, const vec3_t p, const vec3_t normal ) +{ + float d; + vec3_t n; + float inv_denom; + + inv_denom = DotProduct( normal, normal ); +#ifndef Q3_VM + assert( Q_fabs(inv_denom) != 0.0f ); // zero vectors get here +#endif + inv_denom = 1.0f / inv_denom; + + 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]; +} + +/* +================ +MakeNormalVectors + +Given a normalized forward vector, create two +other perpendicular vectors +================ +*/ +void MakeNormalVectors( const vec3_t forward, vec3_t right, vec3_t up) { + float d; + + // this rotate and negate guarantees a vector + // not colinear with the original + right[1] = -forward[0]; + right[2] = forward[1]; + right[0] = forward[2]; + + d = DotProduct (right, forward); + VectorMA (right, -d, forward, right); + VectorNormalize (right); + CrossProduct (right, forward, up); +} + + +void VectorRotate( vec3_t in, vec3_t matrix[3], vec3_t out ) +{ + out[0] = DotProduct( in, matrix[0] ); + out[1] = DotProduct( in, matrix[1] ); + out[2] = DotProduct( in, matrix[2] ); +} + +//============================================================================ + +#if !idppc +/* +** float q_rsqrt( float number ) +*/ +float Q_rsqrt( float number ) +{ + floatint_t t; + float x2, y; + const float threehalfs = 1.5F; + + x2 = number * 0.5F; + t.f = number; + t.i = 0x5f3759df - ( t.i >> 1 ); // what the fuck? + y = t.f; + y = y * ( threehalfs - ( x2 * y * y ) ); // 1st iteration +// y = y * ( threehalfs - ( x2 * y * y ) ); // 2nd iteration, this can be removed + + return y; +} + +float Q_fabs( float f ) { + floatint_t fi; + fi.f = f; + fi.i &= 0x7FFFFFFF; + return fi.f; +} +#endif + +//============================================================ + +/* +=============== +LerpAngle + +=============== +*/ +float LerpAngle (float from, float to, float frac) { + float a; + + if ( to - from > 180 ) { + to -= 360; + } + if ( to - from < -180 ) { + to += 360; + } + a = from + frac * (to - from); + + return a; +} + + +/* +================= +AngleSubtract + +Always returns a value from -180 to 180 +================= +*/ +float AngleSubtract( float a1, float a2 ) { + float a; + + a = a1 - a2; + while ( a > 180 ) { + a -= 360; + } + while ( a < -180 ) { + a += 360; + } + return a; +} + + +void AnglesSubtract( vec3_t v1, vec3_t v2, vec3_t v3 ) { + v3[0] = AngleSubtract( v1[0], v2[0] ); + v3[1] = AngleSubtract( v1[1], v2[1] ); + v3[2] = AngleSubtract( v1[2], v2[2] ); +} + + +float AngleMod(float a) { + a = (360.0/65536) * ((int)(a*(65536/360.0)) & 65535); + return a; +} + + +/* +================= +AngleNormalize360 + +returns angle normalized to the range [0 <= angle < 360] +================= +*/ +float AngleNormalize360 ( float angle ) { + return (360.0 / 65536) * ((int)(angle * (65536 / 360.0)) & 65535); +} + + +/* +================= +AngleNormalize180 + +returns angle normalized to the range [-180 < angle <= 180] +================= +*/ +float AngleNormalize180 ( float angle ) { + angle = AngleNormalize360( angle ); + if ( angle > 180.0 ) { + angle -= 360.0; + } + return angle; +} + + +/* +================= +AngleDelta + +returns the normalized delta from angle1 to angle2 +================= +*/ +float AngleDelta ( float angle1, float angle2 ) { + return AngleNormalize180( angle1 - angle2 ); +} + + +//============================================================ + + +/* +================= +SetPlaneSignbits +================= +*/ +void SetPlaneSignbits (cplane_t *out) { + int bits, j; + + // for fast box on planeside test + bits = 0; + for (j=0 ; j<3 ; j++) { + if (out->normal[j] < 0) { + bits |= 1<<j; + } + } + out->signbits = bits; +} + + +/* +================== +BoxOnPlaneSide + +Returns 1, 2, or 1 + 2 +================== +*/ +int BoxOnPlaneSide(vec3_t emins, vec3_t emaxs, struct cplane_s *p) +{ + float dist[2]; + int sides, b, i; + + // 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; + } + + // general case + dist[0] = dist[1] = 0; + if (p->signbits < 8) // >= 8: default case is original code (dist[0]=dist[1]=0) + { + for (i=0 ; i<3 ; i++) + { + b = (p->signbits >> i) & 1; + dist[ b] += p->normal[i]*emaxs[i]; + dist[!b] += p->normal[i]*emins[i]; + } + } + + sides = 0; + if (dist[0] >= p->dist) + sides = 1; + if (dist[1] < p->dist) + sides |= 2; + + return sides; +} + + +/* +================= +RadiusFromBounds +================= +*/ +float RadiusFromBounds( const vec3_t mins, const vec3_t maxs ) { + int i; + vec3_t corner; + float a, b; + + for (i=0 ; i<3 ; i++) { + a = fabs( mins[i] ); + b = fabs( maxs[i] ); + corner[i] = a > b ? a : b; + } + + return VectorLength (corner); +} + + +void ClearBounds( vec3_t mins, vec3_t maxs ) { + mins[0] = mins[1] = mins[2] = 99999; + maxs[0] = maxs[1] = maxs[2] = -99999; +} + +void AddPointToBounds( const vec3_t v, vec3_t mins, vec3_t maxs ) { + if ( v[0] < mins[0] ) { + mins[0] = v[0]; + } + if ( v[0] > maxs[0]) { + maxs[0] = v[0]; + } + + if ( v[1] < mins[1] ) { + mins[1] = v[1]; + } + if ( v[1] > maxs[1]) { + maxs[1] = v[1]; + } + + if ( v[2] < mins[2] ) { + mins[2] = v[2]; + } + if ( v[2] > maxs[2]) { + maxs[2] = v[2]; + } +} + +qboolean BoundsIntersect(const vec3_t mins, const vec3_t maxs, + const vec3_t mins2, const vec3_t maxs2) +{ + if ( maxs[0] < mins2[0] || + maxs[1] < mins2[1] || + maxs[2] < mins2[2] || + mins[0] > maxs2[0] || + mins[1] > maxs2[1] || + mins[2] > maxs2[2]) + { + return qfalse; + } + + return qtrue; +} + +qboolean BoundsIntersectSphere(const vec3_t mins, const vec3_t maxs, + const vec3_t origin, vec_t radius) +{ + if ( origin[0] - radius > maxs[0] || + origin[0] + radius < mins[0] || + origin[1] - radius > maxs[1] || + origin[1] + radius < mins[1] || + origin[2] - radius > maxs[2] || + origin[2] + radius < mins[2]) + { + return qfalse; + } + + return qtrue; +} + +qboolean BoundsIntersectPoint(const vec3_t mins, const vec3_t maxs, + const vec3_t origin) +{ + if ( origin[0] > maxs[0] || + origin[0] < mins[0] || + origin[1] > maxs[1] || + origin[1] < mins[1] || + origin[2] > maxs[2] || + origin[2] < mins[2]) + { + return qfalse; + } + + return qtrue; +} + +vec_t VectorNormalize( vec3_t v ) { + // NOTE: TTimo - Apple G4 altivec source uses double? + float length, ilength; + + length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2]; + length = sqrt (length); + + if ( length ) { + ilength = 1/length; + v[0] *= ilength; + v[1] *= ilength; + v[2] *= ilength; + } + + return length; +} + +vec_t VectorNormalize2( const vec3_t v, vec3_t out) { + float length, ilength; + + length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2]; + length = sqrt (length); + + if (length) + { + ilength = 1/length; + out[0] = v[0]*ilength; + out[1] = v[1]*ilength; + out[2] = v[2]*ilength; + } else { + VectorClear( out ); + } + + return length; + +} + +void _VectorMA( const vec3_t veca, float scale, const 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( const vec3_t v1, const vec3_t v2 ) { + return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]; +} + +void _VectorSubtract( const vec3_t veca, const 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( const vec3_t veca, const 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( const vec3_t in, vec3_t out ) { + out[0] = in[0]; + out[1] = in[1]; + out[2] = in[2]; +} + +void _VectorScale( const vec3_t in, vec_t scale, vec3_t out ) { + out[0] = in[0]*scale; + out[1] = in[1]*scale; + out[2] = in[2]*scale; +} + +void Vector4Scale( const vec4_t in, vec_t scale, vec4_t out ) { + out[0] = in[0]*scale; + out[1] = in[1]*scale; + out[2] = in[2]*scale; + out[3] = in[3]*scale; +} + + +int Q_log2( int val ) { + int answer; + + answer = 0; + while ( ( val>>=1 ) != 0 ) { + answer++; + } + return answer; +} + + + +/* +================= +PlaneTypeForNormal +================= +*/ +/* +int PlaneTypeForNormal (vec3_t normal) { + if ( normal[0] == 1.0 ) + return PLANE_X; + if ( normal[1] == 1.0 ) + return PLANE_Y; + if ( normal[2] == 1.0 ) + return PLANE_Z; + + return PLANE_NON_AXIAL; +} +*/ + + +/* +================ +MatrixMultiply +================ +*/ +void MatrixMultiply(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]; +} + + +void AngleVectors( const vec3_t angles, vec3_t forward, vec3_t right, vec3_t up) { + float angle; + static float sr, sp, sy, cr, cp, cy; + // static to help MS compiler fp bugs + + 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); + + if (forward) + { + forward[0] = cp*cy; + forward[1] = cp*sy; + forward[2] = -sp; + } + if (right) + { + right[0] = (-1*sr*sp*cy+-1*cr*-sy); + right[1] = (-1*sr*sp*sy+-1*cr*cy); + right[2] = -1*sr*cp; + } + if (up) + { + up[0] = (cr*sp*cy+-sr*-sy); + up[1] = (cr*sp*sy+-sr*cy); + up[2] = cr*cp; + } +} + +/* +** 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 ); +} + +/* +================ +Q_isnan + +Don't pass doubles to this +================ +*/ +int Q_isnan( float x ) +{ + floatint_t fi; + + fi.f = x; + fi.ui &= 0x7FFFFFFF; + fi.ui = 0x7F800000 - fi.ui; + + return (int)( (unsigned int)fi.ui >> 31 ); +} |