/* mathlib.c math primitives $Header: /cvsroot/uhexen2/hexenworld/Client/mathlib.c,v 1.19 2007/07/17 16:50:29 sezero Exp $ */ #include "quakedef.h" vec3_t vec3_origin = { 0, 0, 0 }; /* ================ Q_isnan For NaN tests with -ffast-math Don't pass doubles to this ================ */ int Q_isnan (float x) { union { float f; unsigned int i; } t; t.f = x; t.i &= 0x7FFFFFFF; t.i = 0x7F800000 - t.i; return (int)( (unsigned int)t.i >> 31 ); } 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. ================== */ extern void Sys_Error (const char *error, ...) __attribute__((format(printf,1,2), noreturn)); void BOPS_Error (void) __attribute__((noreturn)); 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: BOPS_Error (); dist1 = dist2 = 0; // shut up compiler 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 ("%s: sides == 0", __thisfunc__); #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 + cr * -sy); right[1] = -1 * (sr * sp * sy + 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; } 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]; } 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 ("%s: bad denominator %f", __thisfunc__, denom); // if ((floor(numer) != numer) || (floor(denom) != denom)) // Sys_Error ("%s: non-integer numer or denom %f %f", __thisfunc__, 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 /* =================== 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