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gtkradiant/tools/quake2/qdata_heretic2/svdcmp.c

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/*
Copyright (C) 1999-2007 id Software, Inc. and contributors.
For a list of contributors, see the accompanying CONTRIBUTORS file.
This file is part of GtkRadiant.
GtkRadiant 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.
GtkRadiant 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 GtkRadiant; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include <stdlib.h>
#include <stdio.h>
#include <assert.h>
#include <string.h>
#include <math.h>
static double at,bt,ct;
#define PYTHAG( a,b ) ( ( at = fabs( a ) ) > ( bt = fabs( b ) ) ? \
( ct = bt / at,at * sqrt( 1.0 + ct * ct ) ) : ( bt ? ( ct = at / bt,bt * sqrt( 1.0 + ct * ct ) ) : 0.0 ) )
static double maxarg1,maxarg2;
#define MAX( a,b ) ( maxarg1 = ( a ),maxarg2 = ( b ),( maxarg1 ) > ( maxarg2 ) ? \
( maxarg1 ) : ( maxarg2 ) )
#define SIGN( a,b ) ( ( b ) >= 0.0 ? fabs( a ) : -fabs( a ) )
void ntrerror( char *s ){
printf( "%s\n",s );
exit( 1 );
}
double *allocVect( int sz ){
double *ret;
ret = calloc( sizeof( double ), (size_t)sz );
return ret;
}
void freeVect( double *ret ){
free( ret );
}
double **allocMatrix( int r,int c ){
double **ret;
ret = calloc( sizeof( double ), (size_t)( r * c ) );
return ret;
}
void freeMatrix( double **ret,int r ){
free( ret );
}
void svdcmp( double** a, int m, int n, double* w, double** v ){
int flag,i,its,j,jj,k,l,nm;
double c,f,h,s,x,y,z;
double anorm = 0.0,g = 0.0,scale = 0.0;
double *rv1;
void nrerror();
if ( m < n ) {
ntrerror( "SVDCMP: You must augment A with extra zero rows" );
}
rv1 = allocVect( n );
for ( i = 1; i <= n; i++ ) {
l = i + 1;
rv1[i] = scale * g;
g = s = scale = 0.0;
if ( i <= m ) {
for ( k = i; k <= m; k++ ) scale += fabs( a[k][i] );
if ( scale ) {
for ( k = i; k <= m; k++ ) {
a[k][i] /= scale;
s += a[k][i] * a[k][i];
}
f = a[i][i];
g = -SIGN( sqrt( s ),f );
h = f * g - s;
a[i][i] = f - g;
if ( i != n ) {
for ( j = l; j <= n; j++ ) {
for ( s = 0.0,k = i; k <= m; k++ ) s += a[k][i] * a[k][j];
f = s / h;
for ( k = i; k <= m; k++ ) a[k][j] += f * a[k][i];
}
}
for ( k = i; k <= m; k++ ) a[k][i] *= scale;
}
}
w[i] = scale * g;
g = s = scale = 0.0;
if ( i <= m && i != n ) {
for ( k = l; k <= n; k++ ) scale += fabs( a[i][k] );
if ( scale ) {
for ( k = l; k <= n; k++ ) {
a[i][k] /= scale;
s += a[i][k] * a[i][k];
}
f = a[i][l];
g = -SIGN( sqrt( s ),f );
h = f * g - s;
a[i][l] = f - g;
for ( k = l; k <= n; k++ ) rv1[k] = a[i][k] / h;
if ( i != m ) {
for ( j = l; j <= m; j++ ) {
for ( s = 0.0,k = l; k <= n; k++ ) s += a[j][k] * a[i][k];
for ( k = l; k <= n; k++ ) a[j][k] += s * rv1[k];
}
}
for ( k = l; k <= n; k++ ) a[i][k] *= scale;
}
}
anorm = MAX( anorm,( fabs( w[i] ) + fabs( rv1[i] ) ) );
}
for ( i = n; i >= 1; i-- ) {
if ( i < n ) {
if ( g ) {
for ( j = l; j <= n; j++ )
v[j][i] = ( a[i][j] / a[i][l] ) / g;
for ( j = l; j <= n; j++ ) {
for ( s = 0.0,k = l; k <= n; k++ ) s += a[i][k] * v[k][j];
for ( k = l; k <= n; k++ ) v[k][j] += s * v[k][i];
}
}
for ( j = l; j <= n; j++ ) v[i][j] = v[j][i] = 0.0;
}
v[i][i] = 1.0;
g = rv1[i];
l = i;
}
for ( i = n; i >= 1; i-- ) {
l = i + 1;
g = w[i];
if ( i < n ) {
for ( j = l; j <= n; j++ ) a[i][j] = 0.0;
}
if ( g ) {
g = 1.0 / g;
if ( i != n ) {
for ( j = l; j <= n; j++ ) {
for ( s = 0.0,k = l; k <= m; k++ ) s += a[k][i] * a[k][j];
f = ( s / a[i][i] ) * g;
for ( k = i; k <= m; k++ ) a[k][j] += f * a[k][i];
}
}
for ( j = i; j <= m; j++ ) a[j][i] *= g;
}
else {
for ( j = i; j <= m; j++ ) a[j][i] = 0.0;
}
++a[i][i];
}
for ( k = n; k >= 1; k-- ) {
for ( its = 1; its <= 30; its++ ) {
flag = 1;
for ( l = k; l >= 1; l-- ) {
nm = l - 1;
if ( fabs( rv1[l] ) + anorm == anorm ) {
flag = 0;
break;
}
if ( fabs( w[nm] ) + anorm == anorm ) {
break;
}
}
if ( flag ) {
c = 0.0;
s = 1.0;
for ( i = l; i <= k; i++ ) {
f = s * rv1[i];
if ( fabs( f ) + anorm != anorm ) {
g = w[i];
h = PYTHAG( f,g );
w[i] = h;
h = 1.0 / h;
c = g * h;
s = ( -f * h );
for ( j = 1; j <= m; j++ ) {
y = a[j][nm];
z = a[j][i];
a[j][nm] = y * c + z * s;
a[j][i] = z * c - y * s;
}
}
}
}
z = w[k];
if ( l == k ) {
if ( z < 0.0 ) {
w[k] = -z;
for ( j = 1; j <= n; j++ ) v[j][k] = ( -v[j][k] );
}
break;
}
if ( its == 30 ) {
ntrerror( "No convergence in 30 SVDCMP iterations" );
}
x = w[l];
nm = k - 1;
y = w[nm];
g = rv1[nm];
h = rv1[k];
f = ( ( y - z ) * ( y + z ) + ( g - h ) * ( g + h ) ) / ( 2.0 * h * y );
g = PYTHAG( f,1.0 );
f = ( ( x - z ) * ( x + z ) + h * ( ( y / ( f + SIGN( g,f ) ) ) - h ) ) / x;
c = s = 1.0;
for ( j = l; j <= nm; j++ ) {
i = j + 1;
g = rv1[i];
y = w[i];
h = s * g;
g = c * g;
z = PYTHAG( f,h );
rv1[j] = z;
c = f / z;
s = h / z;
f = x * c + g * s;
g = g * c - x * s;
h = y * s;
y = y * c;
for ( jj = 1; jj <= n; jj++ ) {
x = v[jj][j];
z = v[jj][i];
v[jj][j] = x * c + z * s;
v[jj][i] = z * c - x * s;
}
z = PYTHAG( f,h );
w[j] = z;
if ( z ) {
z = 1.0 / z;
c = f * z;
s = h * z;
}
f = ( c * g ) + ( s * y );
x = ( c * y ) - ( s * g );
for ( jj = 1; jj <= m; jj++ ) {
y = a[jj][j];
z = a[jj][i];
a[jj][j] = y * c + z * s;
a[jj][i] = z * c - y * s;
}
}
rv1[l] = 0.0;
rv1[k] = f;
w[k] = x;
}
}
freeVect( rv1 );
}
void svbksb( double** u, double* w, double** v,int m, int n, double* b, double* x ){
int jj,j,i;
double s,*tmp;
tmp = allocVect( n );
for ( j = 1; j <= n; j++ )
{
s = 0.0;
if ( w[j] ) {
for ( i = 1; i <= m; i++ )
s += u[i][j] * b[i];
s /= w[j];
}
tmp[j] = s;
}
for ( j = 1; j <= n; j++ )
{
s = 0.0;
for ( jj = 1; jj <= n; jj++ )
s += v[j][jj] * tmp[jj];
x[j] = s;
}
freeVect( tmp );
}
#undef SIGN
#undef MAX
#undef PYTHAG
#if 1
void DOsvd( float *a,float *res,float *comp,float *values,int nframes,int framesize,int compressedsize ){
int usedfs;
int *remap;
int i,j;
double **da;
double **v;
double *w;
int DOFerr;
float mx;
int bestat;
if ( nframes > framesize ) {
usedfs = nframes;
}
else{
usedfs = framesize;
}
da = allocMatrix( usedfs,nframes );
v = allocMatrix( nframes,nframes );
w = allocVect( nframes );
DOFerr = 0; //false
for ( i = 0; i < nframes; i++ )
{
for ( j = 0; j < framesize; j++ )
da[j + 1][i + 1] = a[i * framesize + j];
for (; j < usedfs; j++ )
da[j + 1][i + 1] = 0.0;
}
svdcmp( da,usedfs,nframes,w,v );
remap = calloc( sizeof( int ), (size_t)nframes );
for ( i = 0; i < nframes; i++ )
remap[i] = -1;
for ( j = 0; j < compressedsize; j++ )
{
mx = -1.0f;
for ( i = 0; i < nframes; i++ )
{
if ( remap[i] < 0 && fabs( w[i + 1] ) > mx ) {
mx = (float) fabs( w[i + 1] );
bestat = i;
}
}
if ( mx > 0 ) {
remap[bestat] = j;
}
else
{
DOFerr = 1; //true
}
}
if ( DOFerr ) {
printf( "Warning: To many degrees of freedom! File size may increase\n" );
for ( i = 0; i < compressedsize; i++ )
{
values[i] = 0;
for ( j = 0; j < framesize; j++ )
res[i * framesize + j] = 0;
}
}
for ( i = 0; i < nframes; i++ )
{
if ( remap[i] < 0 ) {
w[i + 1] = 0.0;
}
else
{
values[remap[i]] = (float) w[i + 1];
for ( j = 0; j < framesize; j++ )
res[remap[i] * framesize + j] = (float) da[j + 1][i + 1];
}
}
freeVect( w );
freeMatrix( v,nframes );
freeMatrix( da,framesize );
free( remap );
}
#else
void DOsvd( float *a,float *res,float *comp,float *values,int nframes,int framesize,int compressedsize ){
int *remap;
int i,j;
int nrows;
nrows = nframes;
if ( nrows < framesize ) {
nrows = framesize;
}
double **da = allocMatrix( nrows,framesize );
double **v = allocMatrix( framesize,framesize );
double *w = allocVect( framesize );
float mx;
int bestat;
for ( j = 0; j < framesize; j++ )
{
for ( i = 0; i < nframes; i++ )
da[j + 1][i + 1] = a[i * framesize + j];
for (; i < nrows; i++ )
da[j + 1][i + 1] = 0.0;
}
svdcmp( da,nrows,framesize,w,v );
remap = new int[framesize];
for ( i = 0; i < framesize; i++ )
remap[i] = -1;
for ( j = 0; j < compressedsize; j++ )
{
mx = -1.0f;
for ( i = 0; i < framesize; i++ )
{
if ( remap[i] < 0 && fabs( w[i + 1] ) > mx ) {
mx = fabs( w[i + 1] );
bestat = i;
}
}
assert( mx > -.5f );
remap[bestat] = j;
}
// josh **DO NOT** put your dof>nframes mod here
for ( i = 0; i < framesize; i++ )
{
if ( remap[i] < 0 ) {
w[i + 1] = 0.0;
}
else
{
values[remap[i]] = w[i + 1];
for ( j = 0; j < framesize; j++ )
res[remap[i] * framesize + j] = v[j + 1][i + 1];
}
}
freeVect( w );
freeMatrix( v,framesize );
freeMatrix( da,nrows );
delete[] remap;
}
#endif
void DOsvdPlane( float *pnts,int npnts,float *n,float *base ){
int i,j;
double **da = allocMatrix( npnts,3 );
double **v = allocMatrix( 3,3 );
double *w = allocVect( 3 );
float mn = 1E30f;
int bestat;
assert( npnts >= 3 );
base[0] = pnts[0];
base[1] = pnts[1];
base[2] = pnts[2];
for ( i = 1; i < npnts; i++ )
{
for ( j = 0; j < 3; j++ )
base[j] += pnts[i * 3 + j];
}
base[0] /= (float)( npnts );
base[1] /= (float)( npnts );
base[2] /= (float)( npnts );
for ( i = 0; i < 3; i++ )
{
for ( j = 0; j < npnts; j++ )
da[j + 1][i + 1] = pnts[j * 3 + i] - base[i];
}
svdcmp( da,npnts,3,w,v );
for ( i = 0; i < 3; i++ )
{
if ( fabs( w[i + 1] ) < mn ) {
mn = (float) fabs( w[i + 1] );
bestat = i;
}
}
n[0] = (float) v[1][bestat + 1];
n[1] = (float) v[2][bestat + 1];
n[2] = (float) v[3][bestat + 1];
freeVect( w );
freeMatrix( v,3 );
freeMatrix( da,npnts );
}
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