469 lines
10 KiB
C
469 lines
10 KiB
C
// mathlib.c -- math primitives
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/*
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* $Header: /H2 Mission Pack/MATHLIB.C 4 2/06/98 7:17p Jmonroe $
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*/
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// HEADER FILES ------------------------------------------------------------
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#include <math.h>
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#include "quakedef.h"
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// EXTERNAL FUNCTION PROTOTYPES --------------------------------------------
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void Sys_Error (char *error, ...);
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// PUBLIC DATA DEFINITIONS -------------------------------------------------
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vec3_t vec3_origin = {0,0,0};
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int nanmask = 255<<23;
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// PUBLIC FUNCTION PROTOTYPES ----------------------------------------------
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// PRIVATE FUNCTION PROTOTYPES ---------------------------------------------
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// CODE --------------------------------------------------------------------
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float anglemod(float a)
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{
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#if 0
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if (a >= 0)
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a -= 360*(int)(a/360);
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else
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a += 360*( 1 + (int)(-a/360) );
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#endif
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a = (360.0/65536) * ((int)(a*(65536/360.0)) & 65535);
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return a;
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}
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/*
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==================
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BOPS_Error
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Split out like this for ASM to call.
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==================
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*/
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void BOPS_Error (void)
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{
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Sys_Error ("BoxOnPlaneSide: Bad signbits");
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}
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#if !id386
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/*
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==================
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BoxOnPlaneSide
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Returns 1, 2, or 1 + 2
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==================
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*/
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int BoxOnPlaneSide (vec3_t emins, vec3_t emaxs, mplane_t *p)
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{
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float dist1, dist2;
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int sides;
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#if 0 // this is done by the BOX_ON_PLANE_SIDE macro before calling this
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// function
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// fast axial cases
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if (p->type < 3)
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{
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if (p->dist <= emins[p->type])
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return 1;
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if (p->dist >= emaxs[p->type])
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return 2;
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return 3;
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}
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#endif
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// general case
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switch (p->signbits)
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{
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case 0:
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dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2];
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dist2 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2];
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break;
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case 1:
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dist1 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2];
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dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2];
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break;
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case 2:
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dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2];
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dist2 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2];
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break;
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case 3:
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dist1 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2];
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dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2];
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break;
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case 4:
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dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2];
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dist2 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2];
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break;
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case 5:
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dist1 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emins[2];
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dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emaxs[2];
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break;
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case 6:
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dist1 = p->normal[0]*emaxs[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2];
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dist2 = p->normal[0]*emins[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2];
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break;
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case 7:
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dist1 = p->normal[0]*emins[0] + p->normal[1]*emins[1] + p->normal[2]*emins[2];
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dist2 = p->normal[0]*emaxs[0] + p->normal[1]*emaxs[1] + p->normal[2]*emaxs[2];
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break;
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default:
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dist1 = dist2 = 0; // shut up compiler
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BOPS_Error ();
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break;
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}
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#if 0
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int i;
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vec3_t corners[2];
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for (i=0 ; i<3 ; i++)
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{
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if (plane->normal[i] < 0)
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{
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corners[0][i] = emins[i];
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corners[1][i] = emaxs[i];
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}
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else
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{
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corners[1][i] = emins[i];
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corners[0][i] = emaxs[i];
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}
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}
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dist = DotProduct (plane->normal, corners[0]) - plane->dist;
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dist2 = DotProduct (plane->normal, corners[1]) - plane->dist;
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sides = 0;
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if (dist1 >= 0)
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sides = 1;
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if (dist2 < 0)
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sides |= 2;
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#endif
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sides = 0;
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if (dist1 >= p->dist)
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sides = 1;
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if (dist2 < p->dist)
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sides |= 2;
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#ifdef PARANOID
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if (sides == 0)
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Sys_Error ("BoxOnPlaneSide: sides==0");
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#endif
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return sides;
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}
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#endif
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void AngleVectors (vec3_t angles, vec3_t forward, vec3_t right, vec3_t up)
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{
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float angle;
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float sr, sp, sy, cr, cp, cy;
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angle = angles[YAW] * (M_PI*2 / 360);
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sy = sin(angle);
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cy = cos(angle);
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angle = angles[PITCH] * (M_PI*2 / 360);
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sp = sin(angle);
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cp = cos(angle);
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angle = angles[ROLL] * (M_PI*2 / 360);
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sr = sin(angle);
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cr = cos(angle);
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forward[0] = cp*cy;
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forward[1] = cp*sy;
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forward[2] = -sp;
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right[0] = (-1*sr*sp*cy+-1*cr*-sy);
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right[1] = (-1*sr*sp*sy+-1*cr*cy);
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right[2] = -1*sr*cp;
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up[0] = (cr*sp*cy+-sr*-sy);
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up[1] = (cr*sp*sy+-sr*cy);
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up[2] = cr*cp;
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}
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int VectorCompare (vec3_t v1, vec3_t v2)
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{
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int i;
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for (i=0 ; i<3 ; i++)
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if (v1[i] != v2[i])
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return 0;
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return 1;
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}
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void VectorMA (vec3_t veca, float scale, vec3_t vecb, vec3_t vecc)
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{
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vecc[0] = veca[0] + scale*vecb[0];
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vecc[1] = veca[1] + scale*vecb[1];
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vecc[2] = veca[2] + scale*vecb[2];
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}
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vec_t _DotProduct (vec3_t v1, vec3_t v2)
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{
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return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2];
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}
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void _VectorSubtract (vec3_t veca, vec3_t vecb, vec3_t out)
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{
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out[0] = veca[0]-vecb[0];
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out[1] = veca[1]-vecb[1];
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out[2] = veca[2]-vecb[2];
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}
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void _VectorAdd (vec3_t veca, vec3_t vecb, vec3_t out)
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{
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out[0] = veca[0]+vecb[0];
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out[1] = veca[1]+vecb[1];
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out[2] = veca[2]+vecb[2];
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}
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void _VectorCopy (vec3_t in, vec3_t out)
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{
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out[0] = in[0];
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out[1] = in[1];
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out[2] = in[2];
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}
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void _CrossProduct (vec3_t v1, vec3_t v2, vec3_t cross)
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{
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cross[0] = v1[1]*v2[2] - v1[2]*v2[1];
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cross[1] = v1[2]*v2[0] - v1[0]*v2[2];
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cross[2] = v1[0]*v2[1] - v1[1]*v2[0];
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}
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vec_t _Length(vec3_t v)
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{
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int i;
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float length;
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length = 0;
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for (i=0 ; i< 3 ; i++)
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length += v[i]*v[i];
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length = sqrt (length); // FIXME
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return length;
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}
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float _VectorNormalize (vec3_t v)
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{
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float length, ilength;
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length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2];
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length = sqrt (length); // FIXME
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if (length)
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{
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ilength = 1/length;
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v[0] *= ilength;
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v[1] *= ilength;
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v[2] *= ilength;
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}
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return length;
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}
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void _VectorInverse (vec3_t v)
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{
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v[0] = -v[0];
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v[1] = -v[1];
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v[2] = -v[2];
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}
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void _VectorScale (vec3_t in, vec_t scale, vec3_t out)
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{
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out[0] = in[0]*scale;
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out[1] = in[1]*scale;
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out[2] = in[2]*scale;
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}
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int Q_log2(int val)
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{
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int answer=0;
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while (val>>=1)
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answer++;
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return answer;
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}
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/*
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================
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R_ConcatRotations
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================
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*/
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void R_ConcatRotations (float in1[3][3], float in2[3][3], float out[3][3])
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{
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out[0][0] = (in1[0][0] * in2[0][0]) + (in1[0][1] * in2[1][0]) +
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(in1[0][2] * in2[2][0]);
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out[0][1] = (in1[0][0] * in2[0][1]) + (in1[0][1] * in2[1][1]) +
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(in1[0][2] * in2[2][1]);
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out[0][2] = (in1[0][0] * in2[0][2]) + (in1[0][1] * in2[1][2]) +
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(in1[0][2] * in2[2][2]);
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out[1][0] = (in1[1][0] * in2[0][0]) + (in1[1][1] * in2[1][0]) +
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(in1[1][2] * in2[2][0]);
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out[1][1] = (in1[1][0] * in2[0][1]) + (in1[1][1] * in2[1][1]) +
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(in1[1][2] * in2[2][1]);
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out[1][2] = (in1[1][0] * in2[0][2]) + (in1[1][1] * in2[1][2]) +
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(in1[1][2] * in2[2][2]);
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out[2][0] = (in1[2][0] * in2[0][0]) + (in1[2][1] * in2[1][0]) +
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(in1[2][2] * in2[2][0]);
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out[2][1] = (in1[2][0] * in2[0][1]) + (in1[2][1] * in2[1][1]) +
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(in1[2][2] * in2[2][1]);
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out[2][2] = (in1[2][0] * in2[0][2]) + (in1[2][1] * in2[1][2]) +
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(in1[2][2] * in2[2][2]);
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}
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/*
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================
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R_ConcatTransforms
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================
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*/
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void R_ConcatTransforms (float in1[3][4], float in2[3][4], float out[3][4])
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{
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out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] +
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in1[0][2] * in2[2][0];
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out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] +
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in1[0][2] * in2[2][1];
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out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] +
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in1[0][2] * in2[2][2];
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out[0][3] = in1[0][0] * in2[0][3] + in1[0][1] * in2[1][3] +
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in1[0][2] * in2[2][3] + in1[0][3];
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out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] +
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in1[1][2] * in2[2][0];
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out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] +
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in1[1][2] * in2[2][1];
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out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] +
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in1[1][2] * in2[2][2];
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out[1][3] = in1[1][0] * in2[0][3] + in1[1][1] * in2[1][3] +
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in1[1][2] * in2[2][3] + in1[1][3];
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out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] +
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in1[2][2] * in2[2][0];
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out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] +
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in1[2][2] * in2[2][1];
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out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] +
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in1[2][2] * in2[2][2];
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out[2][3] = in1[2][0] * in2[0][3] + in1[2][1] * in2[1][3] +
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in1[2][2] * in2[2][3] + in1[2][3];
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}
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/*
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===================
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FloorDivMod
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Returns mathematically correct (floor-based) quotient and remainder for
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numer and denom, both of which should contain no fractional part. The
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quotient must fit in 32 bits.
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====================
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*/
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void FloorDivMod (double numer, double denom, int *quotient,
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int *rem)
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{
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int q, r;
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double x;
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#ifndef PARANOID
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if (denom <= 0.0)
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Sys_Error ("FloorDivMod: bad denominator %d\n", denom);
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// if ((floor(numer) != numer) || (floor(denom) != denom))
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// Sys_Error ("FloorDivMod: non-integer numer or denom %f %f\n",
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// numer, denom);
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#endif
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if (numer >= 0.0)
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{
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x = floor(numer / denom);
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q = (int)x;
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r = (int)floor(numer - (x * denom));
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}
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else
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{
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//
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// perform operations with positive values, and fix mod to make floor-based
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//
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x = floor(-numer / denom);
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q = -(int)x;
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r = (int)floor(-numer - (x * denom));
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if (r != 0)
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{
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q--;
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r = (int)denom - r;
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}
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}
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*quotient = q;
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*rem = r;
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}
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/*
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===================
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GreatestCommonDivisor
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====================
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*/
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int GreatestCommonDivisor (int i1, int i2)
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{
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if (i1 > i2)
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{
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if (i2 == 0)
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return (i1);
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return GreatestCommonDivisor (i2, i1 % i2);
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}
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else
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{
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if (i1 == 0)
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return (i2);
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return GreatestCommonDivisor (i1, i2 % i1);
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}
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}
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#if !id386
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// TODO: move to nonintel.c
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/*
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===================
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Invert24To16
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Inverts an 8.24 value to a 16.16 value
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====================
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*/
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fixed16_t Invert24To16(fixed16_t val)
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{
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if (val < 256)
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return (0xFFFFFFFF);
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return (fixed16_t)
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(((double)0x10000 * (double)0x1000000 / (double)val) + 0.5);
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}
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#endif
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/*
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* $Log: /H2 Mission Pack/MATHLIB.C $
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*
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* 4 2/06/98 7:17p Jmonroe
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* removed fastsqrt (not fast)
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*
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* 3 2/05/98 8:00p Jmonroe
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* fast sqrt is partially in, need to do tests to verify it
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*
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* 2 1/26/98 7:26p Jmonroe
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* inline math funcs
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*
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* 2 3/10/97 1:35p Rjohnson
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* Fixed a screwy VC5.0 compiler bug
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*/
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