| 1 |
– |
/* Copyright (c) 1986 Regents of the University of California */ |
| 2 |
– |
|
| 1 |
|
#ifndef lint |
| 2 |
< |
static char SCCSid[] = "$SunId$ LBL"; |
| 2 |
> |
static const char RCSid[] = "$Id$"; |
| 3 |
|
#endif |
| 6 |
– |
|
| 4 |
|
/* |
| 5 |
< |
* fvect.c - routines for float vector calculations |
| 5 |
> |
* fvect.c - routines for floating-point vector calculations |
| 6 |
> |
*/ |
| 7 |
> |
|
| 8 |
> |
/* ==================================================================== |
| 9 |
> |
* The Radiance Software License, Version 1.0 |
| 10 |
|
* |
| 11 |
< |
* 8/14/85 |
| 11 |
> |
* Copyright (c) 1990 - 2002 The Regents of the University of California, |
| 12 |
> |
* through Lawrence Berkeley National Laboratory. All rights reserved. |
| 13 |
> |
* |
| 14 |
> |
* Redistribution and use in source and binary forms, with or without |
| 15 |
> |
* modification, are permitted provided that the following conditions |
| 16 |
> |
* are met: |
| 17 |
> |
* |
| 18 |
> |
* 1. Redistributions of source code must retain the above copyright |
| 19 |
> |
* notice, this list of conditions and the following disclaimer. |
| 20 |
> |
* |
| 21 |
> |
* 2. Redistributions in binary form must reproduce the above copyright |
| 22 |
> |
* notice, this list of conditions and the following disclaimer in |
| 23 |
> |
* the documentation and/or other materials provided with the |
| 24 |
> |
* distribution. |
| 25 |
> |
* |
| 26 |
> |
* 3. The end-user documentation included with the redistribution, |
| 27 |
> |
* if any, must include the following acknowledgment: |
| 28 |
> |
* "This product includes Radiance software |
| 29 |
> |
* (http://radsite.lbl.gov/) |
| 30 |
> |
* developed by the Lawrence Berkeley National Laboratory |
| 31 |
> |
* (http://www.lbl.gov/)." |
| 32 |
> |
* Alternately, this acknowledgment may appear in the software itself, |
| 33 |
> |
* if and wherever such third-party acknowledgments normally appear. |
| 34 |
> |
* |
| 35 |
> |
* 4. The names "Radiance," "Lawrence Berkeley National Laboratory" |
| 36 |
> |
* and "The Regents of the University of California" must |
| 37 |
> |
* not be used to endorse or promote products derived from this |
| 38 |
> |
* software without prior written permission. For written |
| 39 |
> |
* permission, please contact [email protected]. |
| 40 |
> |
* |
| 41 |
> |
* 5. Products derived from this software may not be called "Radiance", |
| 42 |
> |
* nor may "Radiance" appear in their name, without prior written |
| 43 |
> |
* permission of Lawrence Berkeley National Laboratory. |
| 44 |
> |
* |
| 45 |
> |
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED |
| 46 |
> |
* WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
| 47 |
> |
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE |
| 48 |
> |
* DISCLAIMED. IN NO EVENT SHALL Lawrence Berkeley National Laboratory OR |
| 49 |
> |
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| 50 |
> |
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
| 51 |
> |
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF |
| 52 |
> |
* USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND |
| 53 |
> |
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, |
| 54 |
> |
* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT |
| 55 |
> |
* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
| 56 |
> |
* SUCH DAMAGE. |
| 57 |
> |
* ==================================================================== |
| 58 |
> |
* |
| 59 |
> |
* This software consists of voluntary contributions made by many |
| 60 |
> |
* individuals on behalf of Lawrence Berkeley National Laboratory. For more |
| 61 |
> |
* information on Lawrence Berkeley National Laboratory, please see |
| 62 |
> |
* <http://www.lbl.gov/>. |
| 63 |
|
*/ |
| 64 |
|
|
| 65 |
+ |
#include <math.h> |
| 66 |
|
#include "fvect.h" |
| 67 |
|
|
| 15 |
– |
#define FTINY 1e-7 |
| 68 |
|
|
| 17 |
– |
|
| 69 |
|
double |
| 70 |
|
fdot(v1, v2) /* return the dot product of two vectors */ |
| 71 |
|
register FVECT v1, v2; |
| 78 |
|
dist2(p1, p2) /* return square of distance between points */ |
| 79 |
|
register FVECT p1, p2; |
| 80 |
|
{ |
| 81 |
< |
static FVECT delta; |
| 81 |
> |
FVECT delta; |
| 82 |
|
|
| 83 |
|
delta[0] = p2[0] - p1[0]; |
| 84 |
|
delta[1] = p2[1] - p1[1]; |
| 85 |
|
delta[2] = p2[2] - p1[2]; |
| 86 |
+ |
|
| 87 |
|
return(DOT(delta, delta)); |
| 88 |
|
} |
| 89 |
|
|
| 93 |
|
FVECT p; /* the point */ |
| 94 |
|
FVECT ep1, ep2; /* points on the line */ |
| 95 |
|
{ |
| 96 |
< |
static double d, d1, d2; |
| 96 |
> |
register double d, d1, d2; |
| 97 |
|
|
| 98 |
|
d = dist2(ep1, ep2); |
| 99 |
|
d1 = dist2(ep1, p); |
| 100 |
< |
d2 = dist2(ep2, p); |
| 100 |
> |
d2 = d + d1 - dist2(ep2, p); |
| 101 |
|
|
| 102 |
< |
return(d1 - (d+d1-d2)*(d+d1-d2)/d/4); |
| 102 |
> |
return(d1 - 0.25*d2*d2/d); |
| 103 |
|
} |
| 104 |
|
|
| 105 |
|
|
| 108 |
|
FVECT p; /* the point */ |
| 109 |
|
FVECT ep1, ep2; /* the end points */ |
| 110 |
|
{ |
| 111 |
< |
static double d, d1, d2; |
| 111 |
> |
register double d, d1, d2; |
| 112 |
|
|
| 113 |
|
d = dist2(ep1, ep2); |
| 114 |
|
d1 = dist2(ep1, p); |
| 121 |
|
if (d1 - d2 > d) |
| 122 |
|
return(d2); |
| 123 |
|
} |
| 124 |
+ |
d2 = d + d1 - d2; |
| 125 |
|
|
| 126 |
< |
return(d1 - (d+d1-d2)*(d+d1-d2)/d/4); /* distance to line */ |
| 126 |
> |
return(d1 - 0.25*d2*d2/d); /* distance to line */ |
| 127 |
|
} |
| 128 |
|
|
| 129 |
|
|
| 130 |
+ |
void |
| 131 |
|
fcross(vres, v1, v2) /* vres = v1 X v2 */ |
| 132 |
|
register FVECT vres, v1, v2; |
| 133 |
|
{ |
| 137 |
|
} |
| 138 |
|
|
| 139 |
|
|
| 140 |
+ |
void |
| 141 |
|
fvsum(vres, v0, v1, f) /* vres = v0 + f*v1 */ |
| 142 |
< |
FVECT vres, v0, v1; |
| 143 |
< |
double f; |
| 142 |
> |
register FVECT vres, v0, v1; |
| 143 |
> |
register double f; |
| 144 |
|
{ |
| 145 |
|
vres[0] = v0[0] + f*v1[0]; |
| 146 |
|
vres[1] = v0[1] + f*v1[1]; |
| 152 |
|
normalize(v) /* normalize a vector, return old magnitude */ |
| 153 |
|
register FVECT v; |
| 154 |
|
{ |
| 155 |
< |
static double len; |
| 155 |
> |
register double len, d; |
| 156 |
|
|
| 157 |
< |
len = DOT(v, v); |
| 157 |
> |
d = DOT(v, v); |
| 158 |
|
|
| 159 |
< |
if (len <= 0.0) |
| 159 |
> |
if (d <= 0.0) |
| 160 |
|
return(0.0); |
| 161 |
|
|
| 162 |
< |
/****** problematic |
| 163 |
< |
if (len >= (1.0-FTINY)*(1.0-FTINY) && |
| 164 |
< |
len <= (1.0+FTINY)*(1.0+FTINY)) |
| 165 |
< |
return(1.0); |
| 111 |
< |
******/ |
| 162 |
> |
if (d <= 1.0+FTINY && d >= 1.0-FTINY) |
| 163 |
> |
len = 0.5 + 0.5*d; /* first order approximation */ |
| 164 |
> |
else |
| 165 |
> |
len = sqrt(d); |
| 166 |
|
|
| 167 |
< |
len = sqrt(len); |
| 168 |
< |
v[0] /= len; |
| 169 |
< |
v[1] /= len; |
| 170 |
< |
v[2] /= len; |
| 167 |
> |
v[0] *= d = 1.0/len; |
| 168 |
> |
v[1] *= d; |
| 169 |
> |
v[2] *= d; |
| 170 |
> |
|
| 171 |
|
return(len); |
| 172 |
|
} |
| 173 |
|
|
| 174 |
|
|
| 175 |
+ |
void |
| 176 |
|
spinvector(vres, vorig, vnorm, theta) /* rotate vector around normal */ |
| 177 |
|
FVECT vres, vorig, vnorm; |
| 178 |
|
double theta; |
| 179 |
|
{ |
| 180 |
< |
extern double sin(), cos(); |
| 126 |
< |
double sint, cost, dotp; |
| 180 |
> |
double sint, cost, normprod; |
| 181 |
|
FVECT vperp; |
| 182 |
|
register int i; |
| 183 |
|
|
| 184 |
|
if (theta == 0.0) { |
| 185 |
< |
VCOPY(vres, vorig); |
| 185 |
> |
if (vres != vorig) |
| 186 |
> |
VCOPY(vres, vorig); |
| 187 |
|
return; |
| 188 |
|
} |
| 134 |
– |
sint = sin(theta); |
| 189 |
|
cost = cos(theta); |
| 190 |
< |
dotp = DOT(vorig, vnorm); |
| 190 |
> |
sint = sin(theta); |
| 191 |
> |
normprod = DOT(vorig, vnorm)*(1.-cost); |
| 192 |
|
fcross(vperp, vnorm, vorig); |
| 193 |
|
for (i = 0; i < 3; i++) |
| 194 |
< |
vres[i] = vnorm[i]*dotp*(1.-cost) + |
| 140 |
< |
vorig[i]*cost + vperp[i]*sint; |
| 194 |
> |
vres[i] = vorig[i]*cost + vnorm[i]*normprod + vperp[i]*sint; |
| 195 |
|
} |