Original version of the Misha code (version 6.11)

This commit is contained in:
Paolo Cignoni cignoni 2014-10-21 16:59:12 +00:00
parent 7e3a06a2e3
commit 8624a445a9
9 changed files with 1376 additions and 0 deletions

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include "CmdLineParser.h"
#ifdef WIN32
int strcasecmp(char* c1,char* c2){return _stricmp(c1,c2);}
#endif
cmdLineReadable::cmdLineReadable(const char* name)
{
set=false;
this->name=new char[strlen(name)+1];
strcpy(this->name,name);
}
cmdLineReadable::~cmdLineReadable(void)
{
if(name) delete[] name;
name=NULL;
}
int cmdLineReadable::read(char**,int){
set=true;
return 0;
}
void cmdLineReadable::writeValue(char* str)
{
str[0] = 0;
}
////////////////
// cmdLineInt //
////////////////
cmdLineInt::cmdLineInt(const char* name) : cmdLineReadable(name) {value=0;}
cmdLineInt::cmdLineInt(const char* name,const int& v) : cmdLineReadable(name) {value=v;}
int cmdLineInt::read(char** argv,int argc){
if(argc>0){
value=atoi(argv[0]);
set=true;
return 1;
}
else{return 0;}
}
void cmdLineInt::writeValue(char* str)
{
sprintf(str,"%d",value);
}
//////////////////
// cmdLineFloat //
//////////////////
cmdLineFloat::cmdLineFloat(const char* name) : cmdLineReadable(name) {value=0;}
cmdLineFloat::cmdLineFloat(const char* name, const float& v) : cmdLineReadable(name) {value=v;}
int cmdLineFloat::read(char** argv,int argc){
if(argc>0){
value=(float)atof(argv[0]);
set=true;
return 1;
}
else{return 0;}
}
void cmdLineFloat::writeValue(char* str)
{
sprintf(str,"%f",value);
}
///////////////////
// cmdLineString //
///////////////////
cmdLineString::cmdLineString(const char* name) : cmdLineReadable(name) {value=NULL;}
cmdLineString::~cmdLineString(void)
{
if(value) delete[] value;
value=NULL;
}
int cmdLineString::read(char** argv,int argc){
if(argc>0)
{
value=new char[strlen(argv[0])+1];
strcpy(value,argv[0]);
set=true;
return 1;
}
else{return 0;}
}
void cmdLineString::writeValue(char* str)
{
sprintf(str,"%s",value);
}
////////////////////
// cmdLineStrings //
////////////////////
cmdLineStrings::cmdLineStrings(const char* name,int Dim) : cmdLineReadable(name)
{
this->Dim=Dim;
values=new char*[Dim];
for(int i=0;i<Dim;i++) values[i]=NULL;
}
cmdLineStrings::~cmdLineStrings(void)
{
for(int i=0;i<Dim;i++)
{
if(values[i]) delete[] values[i];
values[i]=NULL;
}
delete[] values;
values=NULL;
}
int cmdLineStrings::read(char** argv,int argc)
{
if(argc>=Dim)
{
for(int i=0;i<Dim;i++)
{
values[i]=new char[strlen(argv[i])+1];
strcpy(values[i],argv[i]);
}
set=true;
return Dim;
}
else return 0;
}
void cmdLineStrings::writeValue(char* str)
{
char* temp=str;
for(int i=0;i<Dim;i++)
{
sprintf(temp,"%s ",values[i]);
temp=str+strlen(str);
}
}
char* GetFileExtension(char* fileName){
char* fileNameCopy;
char* ext=NULL;
char* temp;
fileNameCopy=new char[strlen(fileName)+1];
assert(fileNameCopy);
strcpy(fileNameCopy,fileName);
temp=strtok(fileNameCopy,".");
while(temp!=NULL)
{
if(ext!=NULL){delete[] ext;}
ext=new char[strlen(temp)+1];
assert(ext);
strcpy(ext,temp);
temp=strtok(NULL,".");
}
delete[] fileNameCopy;
return ext;
}
char* GetLocalFileName(char* fileName){
char* fileNameCopy;
char* name=NULL;
char* temp;
fileNameCopy=new char[strlen(fileName)+1];
assert(fileNameCopy);
strcpy(fileNameCopy,fileName);
temp=strtok(fileNameCopy,"\\");
while(temp!=NULL){
if(name!=NULL){delete[] name;}
name=new char[strlen(temp)+1];
assert(name);
strcpy(name,temp);
temp=strtok(NULL,"\\");
}
delete[] fileNameCopy;
return name;
}
void cmdLineParse(int argc, char **argv,int num,cmdLineReadable** readable,int dumpError)
{
int i,j;
while (argc > 0)
{
if (argv[0][0] == '-' && argv[0][1]=='-')
{
for(i=0;i<num;i++)
{
if (!strcmp(&argv[0][2],readable[i]->name))
{
argv++, argc--;
j=readable[i]->read(argv,argc);
argv+=j,argc-=j;
break;
}
}
if(i==num){
if(dumpError)
{
fprintf(stderr, "invalid option: %s\n",*argv);
fprintf(stderr, "possible options are:\n");
for(i=0;i<num;i++) fprintf(stderr, " %s\n",readable[i]->name);
}
argv++, argc--;
}
}
else
{
if(dumpError)
{
fprintf(stderr, "invalid option: %s\n", *argv);
fprintf(stderr, " options must start with a \'--\'\n");
}
argv++, argc--;
}
}
}
char** ReadWords(const char* fileName,int& cnt)
{
char** names;
char temp[500];
FILE* fp;
fp=fopen(fileName,"r");
if(!fp){return NULL;}
cnt=0;
while(fscanf(fp," %s ",temp)==1){cnt++;}
fclose(fp);
names=new char*[cnt];
if(!names){return NULL;}
fp=fopen(fileName,"r");
if(!fp){
delete[] names;
cnt=0;
return NULL;
}
cnt=0;
while(fscanf(fp," %s ",temp)==1){
names[cnt]=new char[strlen(temp)+1];
if(!names){
for(int j=0;j<cnt;j++){delete[] names[j];}
delete[] names;
cnt=0;
fclose(fp);
return NULL;
}
strcpy(names[cnt],temp);
cnt++;
}
fclose(fp);
return names;
}

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
#ifndef CMD_LINE_PARSER_INCLUDED
#define CMD_LINE_PARSER_INCLUDED
#include <stdarg.h>
#include <string.h>
#ifdef WIN32
int strcasecmp(char* c1,char* c2);
#endif
class cmdLineReadable{
public:
bool set;
char* name;
cmdLineReadable(const char* name);
virtual ~cmdLineReadable(void);
virtual int read(char** argv,int argc);
virtual void writeValue(char* str);
};
class cmdLineInt : public cmdLineReadable {
public:
int value;
cmdLineInt(const char* name);
cmdLineInt(const char* name,const int& v);
int read(char** argv,int argc);
void writeValue(char* str);
};
template<int Dim>
class cmdLineIntArray : public cmdLineReadable {
public:
int values[Dim];
cmdLineIntArray(const char* name);
cmdLineIntArray(const char* name,const int v[Dim]);
int read(char** argv,int argc);
void writeValue(char* str);
};
class cmdLineFloat : public cmdLineReadable {
public:
float value;
cmdLineFloat(const char* name);
cmdLineFloat(const char* name,const float& f);
int read(char** argv,int argc);
void writeValue(char* str);
};
template<int Dim>
class cmdLineFloatArray : public cmdLineReadable {
public:
float values[Dim];
cmdLineFloatArray(const char* name);
cmdLineFloatArray(const char* name,const float f[Dim]);
int read(char** argv,int argc);
void writeValue(char* str);
};
class cmdLineString : public cmdLineReadable {
public:
char* value;
cmdLineString(const char* name);
~cmdLineString();
int read(char** argv,int argc);
void writeValue(char* str);
};
class cmdLineStrings : public cmdLineReadable {
int Dim;
public:
char** values;
cmdLineStrings(const char* name,int Dim);
~cmdLineStrings(void);
int read(char** argv,int argc);
void writeValue(char* str);
};
template<int Dim>
class cmdLineStringArray : public cmdLineReadable {
public:
char* values[Dim];
cmdLineStringArray(const char* name);
~cmdLineStringArray();
int read(char** argv,int argc);
void writeValue(char* str);
};
// This reads the arguments in argc, matches them against "names" and sets
// the values of "r" appropriately. Parameters start with "--"
void cmdLineParse(int argc, char **argv,int num,cmdLineReadable** r,int dumpError=1);
char* GetFileExtension(char* fileName);
char* GetLocalFileName(char* fileName);
char** ReadWords(const char* fileName,int& cnt);
#include "CmdLineParser.inl"
#endif // CMD_LINE_PARSER_INCLUDED

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/* -*- C++ -*-
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
/////////////////////
// cmdLineIntArray //
/////////////////////
template<int Dim>
cmdLineIntArray<Dim>::cmdLineIntArray(const char* name) : cmdLineReadable(name)
{
for(int i=0;i<Dim;i++) values[i]=0;
}
template<int Dim>
cmdLineIntArray<Dim>::cmdLineIntArray(const char* name,const int v[Dim]) : cmdLineReadable(name)
{
for(int i=0;i<Dim;i++) values[i]=v[i];
}
template<int Dim>
int cmdLineIntArray<Dim>::read(char** argv,int argc)
{
if(argc>=Dim)
{
for(int i=0;i<Dim;i++) values[i]=atoi(argv[i]);
set=true;
return Dim;
}
else{return 0;}
}
template<int Dim>
void cmdLineIntArray<Dim>::writeValue(char* str)
{
char* temp=str;
for(int i=0;i<Dim;i++)
{
sprintf(temp,"%d ",values[i]);
temp=str+strlen(str);
}
}
///////////////////////
// cmdLineFloatArray //
///////////////////////
template<int Dim>
cmdLineFloatArray<Dim>::cmdLineFloatArray(const char* name) : cmdLineReadable(name)
{
for(int i=0;i<Dim;i++) values[i]=0;
}
template<int Dim>
cmdLineFloatArray<Dim>::cmdLineFloatArray(const char* name,const float f[Dim]) : cmdLineReadable(name)
{
for(int i=0;i<Dim;i++) values[i]=f[i];
}
template<int Dim>
int cmdLineFloatArray<Dim>::read(char** argv,int argc)
{
if(argc>=Dim)
{
for(int i=0;i<Dim;i++) values[i]=(float)atof(argv[i]);
set=true;
return Dim;
}
else{return 0;}
}
template<int Dim>
void cmdLineFloatArray<Dim>::writeValue(char* str)
{
char* temp=str;
for(int i=0;i<Dim;i++)
{
sprintf(temp,"%f ",values[i]);
temp=str+strlen(str);
}
}
////////////////////////
// cmdLineStringArray //
////////////////////////
template<int Dim>
cmdLineStringArray<Dim>::cmdLineStringArray(const char* name) : cmdLineReadable(name)
{
for(int i=0;i<Dim;i++) values[i]=NULL;
}
template<int Dim>
cmdLineStringArray<Dim>::~cmdLineStringArray(void)
{
for(int i=0;i<Dim;i++)
{
if(values[i]) delete[] values[i];
values[i]=NULL;
}
}
template<int Dim>
int cmdLineStringArray<Dim>::read(char** argv,int argc)
{
if(argc>=Dim)
{
for(int i=0;i<Dim;i++)
{
values[i]=new char[strlen(argv[i])+1];
strcpy(values[i],argv[i]);
}
set=true;
return Dim;
}
else{return 0;}
}
template<int Dim>
void cmdLineStringArray<Dim>::writeValue(char* str)
{
char* temp=str;
for(int i=0;i<Dim;i++)
{
sprintf(temp,"%s ",values[i]);
temp=str+strlen(str);
}
}

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
//////////////////////
// Polynomial Roots //
//////////////////////
#include <math.h>
#include "Factor.h"
int Factor(double a1,double a0,double roots[1][2],double EPS){
if(fabs(a1)<=EPS){return 0;}
roots[0][0]=-a0/a1;
roots[0][1]=0;
return 1;
}
int Factor(double a2,double a1,double a0,double roots[2][2],double EPS){
double d;
if(fabs(a2)<=EPS){return Factor(a1,a0,roots,EPS);}
d=a1*a1-4*a0*a2;
a1/=(2*a2);
if(d<0){
d=sqrt(-d)/(2*a2);
roots[0][0]=roots[1][0]=-a1;
roots[0][1]=-d;
roots[1][1]= d;
}
else{
d=sqrt(d)/(2*a2);
roots[0][1]=roots[1][1]=0;
roots[0][0]=-a1-d;
roots[1][0]=-a1+d;
}
return 2;
}
// Solution taken from: http://mathworld.wolfram.com/CubicFormula.html
// and http://www.csit.fsu.edu/~burkardt/f_src/subpak/subpak.f90
int Factor(double a3,double a2,double a1,double a0,double roots[3][2],double EPS){
double q,r,r2,q3;
if(fabs(a3)<=EPS){return Factor(a2,a1,a0,roots,EPS);}
a2/=a3;
a1/=a3;
a0/=a3;
q=-(3*a1-a2*a2)/9;
r=-(9*a2*a1-27*a0-2*a2*a2*a2)/54;
r2=r*r;
q3=q*q*q;
if(r2<q3){
double sqrQ=sqrt(q);
double theta = acos ( r / (sqrQ*q) );
double cTheta=cos(theta/3)*sqrQ;
double sTheta=sin(theta/3)*sqrQ*SQRT_3/2;
roots[0][1]=roots[1][1]=roots[2][1]=0;
roots[0][0]=-2*cTheta;
roots[1][0]=-2*(-cTheta*0.5-sTheta);
roots[2][0]=-2*(-cTheta*0.5+sTheta);
}
else{
double s1,s2,sqr=sqrt(r2-q3);
double t;
t=-r+sqr;
if(t<0){s1=-pow(-t,1.0/3);}
else{s1=pow(t,1.0/3);}
t=-r-sqr;
if(t<0){s2=-pow(-t,1.0/3);}
else{s2=pow(t,1.0/3);}
roots[0][1]=0;
roots[0][0]=s1+s2;
s1/=2;
s2/=2;
roots[1][0]= roots[2][0]=-s1-s2;
roots[1][1]= SQRT_3*(s1-s2);
roots[2][1]=-roots[1][1];
}
roots[0][0]-=a2/3;
roots[1][0]-=a2/3;
roots[2][0]-=a2/3;
return 3;
}
double ArcTan2(double y,double x){
/* This first case should never happen */
if(y==0 && x==0){return 0;}
if(x==0){
if(y>0){return PI/2.0;}
else{return -PI/2.0;}
}
if(x>=0){return atan(y/x);}
else{
if(y>=0){return atan(y/x)+PI;}
else{return atan(y/x)-PI;}
}
}
double Angle(const double in[2]){
if((in[0]*in[0]+in[1]*in[1])==0.0){return 0;}
else{return ArcTan2(in[1],in[0]);}
}
void Sqrt(const double in[2],double out[2]){
double r=sqrt(sqrt(in[0]*in[0]+in[1]*in[1]));
double a=Angle(in)*0.5;
out[0]=r*cos(a);
out[1]=r*sin(a);
}
void Add(const double in1[2],const double in2[2],double out[2]){
out[0]=in1[0]+in2[0];
out[1]=in1[1]+in2[1];
}
void Subtract(const double in1[2],const double in2[2],double out[2]){
out[0]=in1[0]-in2[0];
out[1]=in1[1]-in2[1];
}
void Multiply(const double in1[2],const double in2[2],double out[2]){
out[0]=in1[0]*in2[0]-in1[1]*in2[1];
out[1]=in1[0]*in2[1]+in1[1]*in2[0];
}
void Divide(const double in1[2],const double in2[2],double out[2]){
double temp[2];
double l=in2[0]*in2[0]+in2[1]*in2[1];
temp[0]= in2[0]/l;
temp[1]=-in2[1]/l;
Multiply(in1,temp,out);
}
// Solution taken from: http://mathworld.wolfram.com/QuarticEquation.html
// and http://www.csit.fsu.edu/~burkardt/f_src/subpak/subpak.f90
int Factor(double a4,double a3,double a2,double a1,double a0,double roots[4][2],double EPS){
double R[2],D[2],E[2],R2[2];
if(fabs(a4)<EPS){return Factor(a3,a2,a1,a0,roots,EPS);}
a3/=a4;
a2/=a4;
a1/=a4;
a0/=a4;
Factor(1.0,-a2,a3*a1-4.0*a0,-a3*a3*a0+4.0*a2*a0-a1*a1,roots,EPS);
R2[0]=a3*a3/4.0-a2+roots[0][0];
R2[1]=0;
Sqrt(R2,R);
if(fabs(R[0])>10e-8){
double temp1[2],temp2[2];
double p1[2],p2[2];
p1[0]=a3*a3*0.75-2.0*a2-R2[0];
p1[1]=0;
temp2[0]=((4.0*a3*a2-8.0*a1-a3*a3*a3)/4.0);
temp2[1]=0;
Divide(temp2,R,p2);
Add (p1,p2,temp1);
Subtract(p1,p2,temp2);
Sqrt(temp1,D);
Sqrt(temp2,E);
}
else{
R[0]=R[1]=0;
double temp1[2],temp2[2];
temp1[0]=roots[0][0]*roots[0][0]-4.0*a0;
temp1[1]=0;
Sqrt(temp1,temp2);
temp1[0]=a3*a3*0.75-2.0*a2+2.0*temp2[0];
temp1[1]= 2.0*temp2[1];
Sqrt(temp1,D);
temp1[0]=a3*a3*0.75-2.0*a2-2.0*temp2[0];
temp1[1]= -2.0*temp2[1];
Sqrt(temp1,E);
}
roots[0][0]=-a3/4.0+R[0]/2.0+D[0]/2.0;
roots[0][1]= R[1]/2.0+D[1]/2.0;
roots[1][0]=-a3/4.0+R[0]/2.0-D[0]/2.0;
roots[1][1]= R[1]/2.0-D[1]/2.0;
roots[2][0]=-a3/4.0-R[0]/2.0+E[0]/2.0;
roots[2][1]= -R[1]/2.0+E[1]/2.0;
roots[3][0]=-a3/4.0-R[0]/2.0-E[0]/2.0;
roots[3][1]= -R[1]/2.0-E[1]/2.0;
return 4;
}
int Solve(const double* eqns,const double* values,double* solutions,int dim){
int i,j,eIndex;
double v,m;
int *index=new int[dim];
int *set=new int[dim];
double* myEqns=new double[dim*dim];
double* myValues=new double[dim];
for(i=0;i<dim*dim;i++){myEqns[i]=eqns[i];}
for(i=0;i<dim;i++){
myValues[i]=values[i];
set[i]=0;
}
for(i=0;i<dim;i++){
// Find the largest equation that has a non-zero entry in the i-th index
m=-1;
eIndex=-1;
for(j=0;j<dim;j++){
if(set[j]){continue;}
if(myEqns[j*dim+i]!=0 && fabs(myEqns[j*dim+i])>m){
m=fabs(myEqns[j*dim+i]);
eIndex=j;
}
}
if(eIndex==-1){
delete[] index;
delete[] myValues;
delete[] myEqns;
delete[] set;
return 0;
}
// The position in which the solution for the i-th variable can be found
index[i]=eIndex;
set[eIndex]=1;
// Normalize the equation
v=myEqns[eIndex*dim+i];
for(j=0;j<dim;j++){myEqns[eIndex*dim+j]/=v;}
myValues[eIndex]/=v;
// Subtract it off from everything else
for(j=0;j<dim;j++){
if(j==eIndex){continue;}
double vv=myEqns[j*dim+i];
for(int k=0;k<dim;k++){myEqns[j*dim+k]-=myEqns[eIndex*dim+k]*vv;}
myValues[j]-=myValues[eIndex]*vv;
}
}
for(i=0;i<dim;i++){solutions[i]=myValues[index[i]];}
delete[] index;
delete[] myValues;
delete[] myEqns;
delete[] set;
return 1;
}

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
#ifndef FACTOR_INCLUDED
#define FACTOR_INCLUDED
#define PI 3.1415926535897932384
#define SQRT_3 1.7320508075688772935
double ArcTan2(double y,double x);
double Angle(const double in[2]);
void Sqrt(const double in[2],double out[2]);
void Add(const double in1[2],const double in2[2],double out[2]);
void Subtract(const double in1[2],const double in2[2],double out[2]);
void Multiply(const double in1[2],const double in2[2],double out[2]);
void Divide(const double in1[2],const double in2[2],double out[2]);
int Factor(double a1,double a0,double roots[1][2],double EPS);
int Factor(double a2,double a1,double a0,double roots[2][2],double EPS);
int Factor(double a3,double a2,double a1,double a0,double roots[3][2],double EPS);
int Factor(double a4,double a3,double a2,double a1,double a0,double roots[4][2],double EPS);
int Solve(const double* eqns,const double* values,double* solutions, int dim);
#endif // FACTOR_INCLUDED

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
//////////////////
// FunctionData //
//////////////////
template<int Degree,class Real>
FunctionData<Degree,Real>::FunctionData(void)
{
dotTable=dDotTable=d2DotTable=NULL;
valueTables=dValueTables=NULL;
res=0;
}
template<int Degree,class Real>
FunctionData<Degree,Real>::~FunctionData(void)
{
if(res)
{
if( dotTable) delete[] dotTable;
if( dDotTable) delete[] dDotTable;
if(d2DotTable) delete[] d2DotTable;
if( valueTables) delete[] valueTables;
if(dValueTables) delete[] dValueTables;
}
dotTable=dDotTable=d2DotTable=NULL;
valueTables=dValueTables=NULL;
res=0;
}
template<int Degree,class Real>
#if BOUNDARY_CONDITIONS
void FunctionData<Degree,Real>::set( const int& maxDepth , const PPolynomial<Degree>& F , const int& normalize , bool useDotRatios , bool reflectBoundary )
#else // !BOUNDARY_CONDITIONS
void FunctionData<Degree,Real>::set(const int& maxDepth,const PPolynomial<Degree>& F,const int& normalize , bool useDotRatios )
#endif // BOUNDARY_CONDITIONS
{
this->normalize = normalize;
this->useDotRatios = useDotRatios;
#if BOUNDARY_CONDITIONS
this->reflectBoundary = reflectBoundary;
#endif // BOUNDARY_CONDITIONS
depth = maxDepth;
res = BinaryNode<double>::CumulativeCenterCount( depth );
res2 = (1<<(depth+1))+1;
baseFunctions = new PPolynomial<Degree+1>[res];
// Scale the function so that it has:
// 0] Value 1 at 0
// 1] Integral equal to 1
// 2] Square integral equal to 1
switch( normalize )
{
case 2:
baseFunction=F/sqrt((F*F).integral(F.polys[0].start,F.polys[F.polyCount-1].start));
break;
case 1:
baseFunction=F/F.integral(F.polys[0].start,F.polys[F.polyCount-1].start);
break;
default:
baseFunction=F/F(0);
}
dBaseFunction = baseFunction.derivative();
#if BOUNDARY_CONDITIONS
leftBaseFunction = baseFunction + baseFunction.shift( -1 );
rightBaseFunction = baseFunction + baseFunction.shift( 1 );
dLeftBaseFunction = leftBaseFunction.derivative();
dRightBaseFunction = rightBaseFunction.derivative();
#endif // BOUNDARY_CONDITIONS
double c1,w1;
for( int i=0 ; i<res ; i++ )
{
BinaryNode< double >::CenterAndWidth( i , c1 , w1 );
#if BOUNDARY_CONDITIONS
if( reflectBoundary )
{
int d , off;
BinaryNode< double >::DepthAndOffset( i , d , off );
if ( off==0 ) baseFunctions[i] = leftBaseFunction.scale( w1 ).shift( c1 );
else if( off==((1<<d)-1) ) baseFunctions[i] = rightBaseFunction.scale( w1 ).shift( c1 );
else baseFunctions[i] = baseFunction.scale( w1 ).shift( c1 );
}
else baseFunctions[i] = baseFunction.scale(w1).shift(c1);
#else // !BOUNDARY_CONDITIONS
baseFunctions[i] = baseFunction.scale(w1).shift(c1);
#endif // BOUNDARY_CONDITIONS
// Scale the function so that it has L2-norm equal to one
switch( normalize )
{
case 2:
baseFunctions[i]/=sqrt(w1);
break;
case 1:
baseFunctions[i]/=w1;
break;
}
}
}
template<int Degree,class Real>
void FunctionData<Degree,Real>::setDotTables( const int& flags )
{
clearDotTables( flags );
int size;
size = ( res*res + res )>>1;
if( flags & DOT_FLAG )
{
dotTable = new Real[size];
memset( dotTable , 0 , sizeof(Real)*size );
}
if( flags & D_DOT_FLAG )
{
dDotTable = new Real[size];
memset( dDotTable , 0 , sizeof(Real)*size );
}
if( flags & D2_DOT_FLAG )
{
d2DotTable = new Real[size];
memset( d2DotTable , 0 , sizeof(Real)*size );
}
double t1 , t2;
t1 = baseFunction.polys[0].start;
t2 = baseFunction.polys[baseFunction.polyCount-1].start;
for( int i=0 ; i<res ; i++ )
{
double c1 , c2 , w1 , w2;
BinaryNode<double>::CenterAndWidth( i , c1 , w1 );
#if BOUNDARY_CONDITIONS
int d1 , d2 , off1 , off2;
BinaryNode< double >::DepthAndOffset( i , d1 , off1 );
int boundary1 = 0;
if ( reflectBoundary && off1==0 ) boundary1 = -1;
else if( reflectBoundary && off1==( (1<<d1)-1 ) ) boundary1 = 1;
#endif // BOUNDARY_CONDITIONS
double start1 = t1 * w1 + c1;
double end1 = t2 * w1 + c1;
for( int j=0 ; j<=i ; j++ )
{
BinaryNode<double>::CenterAndWidth( j , c2 , w2 );
#if BOUNDARY_CONDITIONS
BinaryNode< double >::DepthAndOffset( j , d2 , off2 );
int boundary2 = 0;
if ( reflectBoundary && off2==0 ) boundary2 = -1;
else if( reflectBoundary && off2==( (1<<d2)-1 ) ) boundary2 = 1;
#endif // BOUNDARY_CONDITIONS
int idx = SymmetricIndex( i , j );
double start = t1 * w2 + c2;
double end = t2 * w2 + c2;
#if BOUNDARY_CONDITIONS
if( reflectBoundary )
{
if( start<0 ) start = 0;
if( start>1 ) start = 1;
if( end <0 ) end = 0;
if( end >1 ) end = 1;
}
#endif // BOUNDARY_CONDITIONS
if( start< start1 ) start = start1;
if( end > end1 ) end = end1;
if( start>= end ) continue;
#if BOUNDARY_CONDITIONS
Real dot = dotProduct( c1 , w1 , c2 , w2 , boundary1 , boundary2 );
#else // !BOUNDARY_CONDITIONS
Real dot = dotProduct( c1 , w1 , c2 , w2 );
#endif // BOUNDARY_CONDITIONS
if( fabs(dot)<1e-15 ) continue;
if( flags & DOT_FLAG ) dotTable[idx]=dot;
if( useDotRatios )
{
#if BOUNDARY_CONDITIONS
if( flags & D_DOT_FLAG ) dDotTable[idx] = -dDotProduct( c1 , w1 , c2 , w2 , boundary1 , boundary2 ) / dot;
if( flags & D2_DOT_FLAG ) d2DotTable[idx] = d2DotProduct( c1 , w1 , c2 , w2 , boundary1 , boundary2 ) / dot;
#else // !BOUNDARY_CONDITIONS
if( flags & D_DOT_FLAG ) dDotTable[idx] = -dDotProduct(c1,w1,c2,w2)/dot;
if( flags & D2_DOT_FLAG ) d2DotTable[idx] = d2DotProduct(c1,w1,c2,w2)/dot;
#endif // BOUNDARY_CONDITIONS
}
else
{
#if BOUNDARY_CONDITIONS
if( flags & D_DOT_FLAG ) dDotTable[idx] = dDotProduct( c1 , w1 , c2 , w2 , boundary1 , boundary2 );
if( flags & D2_DOT_FLAG ) d2DotTable[idx] = d2DotProduct( c1 , w1 , c2 , w2 , boundary1 , boundary2 );
#else // !BOUNDARY_CONDTIONS
if( flags & D_DOT_FLAG ) dDotTable[idx] = dDotProduct(c1,w1,c2,w2);
if( flags & D2_DOT_FLAG ) d2DotTable[idx] = d2DotProduct(c1,w1,c2,w2);
#endif // BOUNDARY_CONDITIONS
}
}
}
}
template<int Degree,class Real>
void FunctionData<Degree,Real>::clearDotTables( const int& flags )
{
if((flags & DOT_FLAG) && dotTable)
{
delete[] dotTable;
dotTable=NULL;
}
if((flags & D_DOT_FLAG) && dDotTable)
{
delete[] dDotTable;
dDotTable=NULL;
}
if((flags & D2_DOT_FLAG) && d2DotTable)
{
delete[] d2DotTable;
d2DotTable=NULL;
}
}
template<int Degree,class Real>
void FunctionData<Degree,Real>::setValueTables( const int& flags , const double& smooth )
{
clearValueTables();
if( flags & VALUE_FLAG ) valueTables = new Real[res*res2];
if( flags & D_VALUE_FLAG ) dValueTables = new Real[res*res2];
PPolynomial<Degree+1> function;
PPolynomial<Degree> dFunction;
for( int i=0 ; i<res ; i++ )
{
if(smooth>0)
{
function=baseFunctions[i].MovingAverage(smooth);
dFunction=baseFunctions[i].derivative().MovingAverage(smooth);
}
else
{
function=baseFunctions[i];
dFunction=baseFunctions[i].derivative();
}
for( int j=0 ; j<res2 ; j++ )
{
double x=double(j)/(res2-1);
if(flags & VALUE_FLAG){ valueTables[j*res+i]=Real( function(x));}
if(flags & D_VALUE_FLAG){dValueTables[j*res+i]=Real(dFunction(x));}
}
}
}
template<int Degree,class Real>
void FunctionData<Degree,Real>::setValueTables(const int& flags,const double& valueSmooth,const double& normalSmooth){
clearValueTables();
if(flags & VALUE_FLAG){ valueTables=new Real[res*res2];}
if(flags & D_VALUE_FLAG){dValueTables=new Real[res*res2];}
PPolynomial<Degree+1> function;
PPolynomial<Degree> dFunction;
for(int i=0;i<res;i++){
if(valueSmooth>0) { function=baseFunctions[i].MovingAverage(valueSmooth);}
else { function=baseFunctions[i];}
if(normalSmooth>0) {dFunction=baseFunctions[i].derivative().MovingAverage(normalSmooth);}
else {dFunction=baseFunctions[i].derivative();}
for(int j=0;j<res2;j++){
double x=double(j)/(res2-1);
if(flags & VALUE_FLAG){ valueTables[j*res+i]=Real( function(x));}
if(flags & D_VALUE_FLAG){dValueTables[j*res+i]=Real(dFunction(x));}
}
}
}
template<int Degree,class Real>
void FunctionData<Degree,Real>::clearValueTables(void){
if( valueTables){delete[] valueTables;}
if(dValueTables){delete[] dValueTables;}
valueTables=dValueTables=NULL;
}
#if BOUNDARY_CONDITIONS
template<int Degree,class Real>
Real FunctionData<Degree,Real>::dotProduct( const double& center1 , const double& width1 , const double& center2 , const double& width2 , int boundary1 , int boundary2 ) const
{
const PPolynomial< Degree > *b1 , *b2;
if ( boundary1==-1 ) b1 = & leftBaseFunction;
else if( boundary1== 0 ) b1 = & baseFunction;
else if( boundary1== 1 ) b1 = &rightBaseFunction;
if ( boundary2==-1 ) b2 = & leftBaseFunction;
else if( boundary2== 0 ) b2 = & baseFunction;
else if( boundary2== 1 ) b2 = &rightBaseFunction;
double r=fabs( baseFunction.polys[0].start );
switch( normalize )
{
case 2:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1/sqrt(width1*width2));
case 1:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1/(width1*width2));
default:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1);
}
}
template<int Degree,class Real>
Real FunctionData<Degree,Real>::dDotProduct( const double& center1 , const double& width1 , const double& center2 , const double& width2 , int boundary1 , int boundary2 ) const
{
const PPolynomial< Degree-1 > *b1;
const PPolynomial< Degree > *b2;
if ( boundary1==-1 ) b1 = & dLeftBaseFunction;
else if( boundary1== 0 ) b1 = & dBaseFunction;
else if( boundary1== 1 ) b1 = &dRightBaseFunction;
if ( boundary2==-1 ) b2 = & leftBaseFunction;
else if( boundary2== 0 ) b2 = & baseFunction;
else if( boundary2== 1 ) b2 = & rightBaseFunction;
double r=fabs(baseFunction.polys[0].start);
switch(normalize){
case 2:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/sqrt(width1*width2));
case 1:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/(width1*width2));
default:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r));
}
}
template<int Degree,class Real>
Real FunctionData<Degree,Real>::d2DotProduct( const double& center1 , const double& width1 , const double& center2 , const double& width2 , int boundary1 , int boundary2 ) const
{
const PPolynomial< Degree-1 > *b1 , *b2;
if ( boundary1==-1 ) b1 = & dLeftBaseFunction;
else if( boundary1== 0 ) b1 = & dBaseFunction;
else if( boundary1== 1 ) b1 = &dRightBaseFunction;
if ( boundary2==-1 ) b2 = & dLeftBaseFunction;
else if( boundary2== 0 ) b2 = & dBaseFunction;
else if( boundary2== 1 ) b2 = &dRightBaseFunction;
double r=fabs(baseFunction.polys[0].start);
switch( normalize )
{
case 2:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2/sqrt(width1*width2));
case 1:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2/(width1*width2));
default:
return Real(((*b1)*b2->scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2);
}
}
#else // !BOUNDARY_CONDITIONS
template<int Degree,class Real>
Real FunctionData<Degree,Real>::dotProduct(const double& center1,const double& width1,const double& center2,const double& width2) const{
double r=fabs(baseFunction.polys[0].start);
switch( normalize )
{
case 2:
return Real((baseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1/sqrt(width1*width2));
case 1:
return Real((baseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1/(width1*width2));
default:
return Real((baseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)*width1);
}
}
template<int Degree,class Real>
Real FunctionData<Degree,Real>::dDotProduct(const double& center1,const double& width1,const double& center2,const double& width2) const{
double r=fabs(baseFunction.polys[0].start);
switch(normalize){
case 2:
return Real((dBaseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/sqrt(width1*width2));
case 1:
return Real((dBaseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/(width1*width2));
default:
return Real((dBaseFunction*baseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r));
}
}
template<int Degree,class Real>
Real FunctionData<Degree,Real>::d2DotProduct(const double& center1,const double& width1,const double& center2,const double& width2) const{
double r=fabs(baseFunction.polys[0].start);
switch(normalize){
case 2:
return Real((dBaseFunction*dBaseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2/sqrt(width1*width2));
case 1:
return Real((dBaseFunction*dBaseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2/(width1*width2));
default:
return Real((dBaseFunction*dBaseFunction.scale(width2/width1).shift((center2-center1)/width1)).integral(-2*r,2*r)/width2);
}
}
#endif // BOUNDARY_CONDITIONS
template<int Degree,class Real>
inline int FunctionData<Degree,Real>::SymmetricIndex( const int& i1 , const int& i2 )
{
if( i1>i2 ) return ((i1*i1+i1)>>1)+i2;
else return ((i2*i2+i2)>>1)+i1;
}
template<int Degree,class Real>
inline int FunctionData<Degree,Real>::SymmetricIndex( const int& i1 , const int& i2 , int& index )
{
if( i1<i2 )
{
index = ((i2*i2+i2)>>1)+i1;
return 1;
}
else{
index = ((i1*i1+i1)>>1)+i2;
return 0;
}
}

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#ifndef HASH_INCLUDED
#define HASH_INCLUDED
#ifdef WIN32
#include <hash_map>
using stdext::hash_map;
#else // !WIN32
#include <ext/hash_map>
using namespace __gnu_cxx;
namespace __gnu_cxx
{
template<> struct hash<long long> {
size_t operator()(long long __x) const { return __x; }
};
template<> struct hash<const long long> {
size_t operator()(const long long __x) const { return __x; }
};
template<> struct hash<unsigned long long> {
size_t operator()(unsigned long long __x) const { return __x; }
};
template<> struct hash<const unsigned long long> {
size_t operator()(const unsigned long long __x) const { return __x; }
};
}
#endif // WIN32
#endif // HASH_INCLUDED

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
#include <string.h>
#include <sys/timeb.h>
#ifndef WIN32
#include <sys/time.h>
#endif // WIN32
double Time( void )
{
#ifdef WIN32
struct _timeb t;
_ftime( &t );
return double( t.time ) + double( t.millitm ) / 1000.0;
#else // WIN32
struct timeval t;
gettimeofday( &t , NULL );
return t.tv_sec + double( t.tv_usec ) / 1000000;
#endif // WIN32
}

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
Redistributions of source code must retain the above copyright notice, this list of
conditions and the following disclaimer. Redistributions in binary form must reproduce
the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the distribution.
Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
*/
#ifndef TIME_INCLUDED
#define TIME_INCLUDED
double Time(void);
#endif // TIME_INCLUDED