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authortpearson <tpearson@283d02a7-25f6-0310-bc7c-ecb5cbfe19da>2010-01-20 01:29:50 +0000
committertpearson <tpearson@283d02a7-25f6-0310-bc7c-ecb5cbfe19da>2010-01-20 01:29:50 +0000
commit8362bf63dea22bbf6736609b0f49c152f975eb63 (patch)
tree0eea3928e39e50fae91d4e68b21b1e6cbae25604 /krita/core/kis_perspective_math.cpp
downloadkoffice-8362bf63dea22bbf6736609b0f49c152f975eb63.tar.gz
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Added old abandoned KDE3 version of koffice
git-svn-id: svn://anonsvn.kde.org/home/kde/branches/trinity/applications/koffice@1077364 283d02a7-25f6-0310-bc7c-ecb5cbfe19da
Diffstat (limited to 'krita/core/kis_perspective_math.cpp')
-rw-r--r--krita/core/kis_perspective_math.cpp546
1 files changed, 546 insertions, 0 deletions
diff --git a/krita/core/kis_perspective_math.cpp b/krita/core/kis_perspective_math.cpp
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+++ b/krita/core/kis_perspective_math.cpp
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+/*
+ * This file is part of Krita
+ *
+ * Copyright (c) 2006 Cyrille Berger <cberger@cberger.net>
+ *
+ * This program 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.
+ *
+ * This program 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 this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#include "kis_perspective_math.h"
+
+#include <qrect.h>
+
+#if 1
+
+#include <iostream>
+#include <stdlib.h>
+#include <math.h>
+//#define NDEBUG // uncomment to remove checking of assert()
+#include <assert.h>
+#define DEFAULT_ALLOC 2
+
+namespace math { // TODO: use eigen
+
+template <class ElType> class matrix;
+
+template <class ElType>
+ class vector
+{
+ public:
+ friend class matrix<ElType>;
+ ElType * data;
+ int len;
+ int length()const;
+ vector();
+ vector(int n);
+ ~vector(){ delete [] data;}
+ //Copy operator
+ vector(const vector<ElType>& v) ;
+ //assignment operator
+ vector<ElType>& operator =(const vector<ElType> &original);
+ ElType& operator[](int i)const ;
+ void zero();
+ vector<ElType> operator+(const vector<ElType>& v);
+ vector<ElType> operator-(const vector<ElType>&v);
+ void rprint()const; //print entries on a single line
+ void resize(int n);
+ int operator==(const vector<ElType>& v)const;
+ friend vector<ElType> operator* (ElType c,vector<ElType>& v );
+ friend vector<ElType> operator*(vector<ElType>& v,ElType c );
+ friend std::ostream& operator<<(std::ostream& s,vector<ElType>& v);
+};
+template <class ElType>
+ void vector<ElType>::zero()
+{
+ for(int i=0;i<len;i++) data[i]=(ElType)0;
+}
+template <class ElType>
+ int vector<ElType>::length()const
+{
+ return len;
+}
+template <class ElType>
+ ElType& vector<ElType>::operator[](int i)const
+{
+ assert(i>=0 && i < len);
+ return data[i];
+}
+
+template <class ElType>
+ vector<ElType>::vector()
+{
+ data=new ElType[ DEFAULT_ALLOC];
+ assert(data!=0);
+ len= DEFAULT_ALLOC;
+}
+template <class ElType>
+ vector<ElType>::vector(int n)
+{
+ data = new ElType[len=n];
+ assert(data!=0);
+}
+template <class ElType>
+ vector<ElType>::vector(const vector<ElType>& v)
+{
+ data=new ElType[len=v.len];
+ assert(data!=0);
+ for(int i=0;i<len;i++) data[i]=v.data[i];
+}
+template <class ElType>
+ vector<ElType>& vector<ElType>::operator =(const vector<ElType> &original)
+{
+ if(this != &original)
+ {
+ delete [] data;
+ data= new ElType[len=original.len];
+ assert(data!=0);
+ for(int i=0;i<len;i++) data[i]=original.data[i];
+ }
+ return *this;
+}
+template <class ElType>
+ vector<ElType> vector<ElType>::operator+(const vector<ElType>& v)
+{
+ vector<ElType> sum(len);
+ for(int i=0;i<len;i++) sum[i] = data[i]+v.data[i];
+ return sum;
+
+}
+template <class ElType>
+ vector<ElType> vector<ElType>::operator-(const vector<ElType>& v)
+{
+ vector<ElType> sum(len);
+ for(int i=0;i<len;i++) sum[i] = data[i]-v.data[i];
+ return sum;
+}
+template <class ElType>
+ void vector<ElType>::rprint()const //print entries on a single line
+{
+ int i;
+ std::cout << "VECTOR: ";
+ std::cout << "(";
+ for(i=0;i<len-1;i++) std::cout << data[i] << ",";
+ std::cout << data[len-1] << ")" << std::endl;
+ return;
+}
+template <class ElType>
+ void vector<ElType>::resize(int n)
+{
+ delete[]data;
+ data = new ElType[len=n];
+ assert(data !=0);
+}
+template <class ElType>
+ int vector<ElType>::operator==(const vector<ElType>& v)const
+{
+ if(len != v.len) return 0;
+ for(int i=0;i<len;i++) if(data[i]!=v.data[i]) return 0;
+ return 1;
+}
+template <class ElType>
+ vector<ElType> operator*(ElType c,vector<ElType>& v )
+{
+ vector<ElType> ans(v.len);
+ for(int i=0;i<v.len;i++) ans[i]=c*v[i];
+ return ans;
+}
+template <class ElType>
+ vector<ElType> operator*(vector<ElType>& v,ElType c )
+{
+ vector<ElType> ans(v.len);
+ for(int i=0;i<v.len;i++) ans[i]=c*v[i];
+ return ans;
+}
+template <class ElType>
+ std::ostream& operator<<(std::ostream& s,vector<ElType>& v)
+{
+ s << "(";
+ for(int i=0;i<v.len-1;i++) s << v.data[i] << ", ";
+ s << v.data[v.len-1]<<")"<<endl;
+ return s;
+}
+
+template <class ElType>
+ class matrix
+{
+ public:
+ vector<ElType> *m;
+ int rows,cols;
+ matrix();
+ matrix( int r, int c);
+ matrix(const matrix<ElType> &s);
+ ~matrix();
+ matrix& operator =(const matrix<ElType>& s);
+ vector<ElType>& operator[](const int i);
+ vector<ElType> operator*(const vector<ElType>&);
+ friend matrix<ElType> operator*(const ElType&, const matrix<ElType>&);
+ friend matrix<ElType> operator*(const matrix<ElType>&, const ElType&);
+ matrix<ElType> operator*(const matrix<ElType>& a);
+ matrix<ElType> operator+(const matrix<ElType>& a);
+ matrix<ElType> operator-(const matrix<ElType>& a);
+ matrix<ElType> transpose();
+ //matrix<ElType> inverse();
+ friend std::ostream& operator<<(std::ostream& s,matrix<ElType>& m);
+ friend void ludcmp(matrix<ElType>& a,vector<int>& indx,double &d);
+ friend void lubksb(matrix<ElType>&a,vector<int>& indx,vector<ElType>&b);
+};
+template <class ElType>
+ matrix<ElType>::matrix()
+{
+ m = new vector<ElType>[DEFAULT_ALLOC];
+ assert(m !=0);
+ rows=cols=DEFAULT_ALLOC;
+ for(int i=0;i<rows;i++)
+ {
+ vector<ElType> v;
+ m[i]= v;
+ }
+}
+
+template <class ElType>
+ matrix<ElType>::matrix(int r, int c)
+{
+ m= new vector<ElType>[r];
+ assert(m != 0);
+ rows=r;
+ cols=c;
+ for(int i=0;i<r;i++)
+ {
+ vector<ElType> v(cols);
+ m[i]=v;
+ }
+}
+template <class ElType>
+ matrix<ElType>::matrix(const matrix<ElType> &s)
+{
+ int i;
+ rows=s.rows;
+ m = new vector<ElType>[rows];
+ assert(m!=0);
+ cols =s.cols;
+ for(i=0;i<rows;i++)
+ {
+ m[i]=s.m[i];
+ }
+}
+template <class ElType>
+ matrix<ElType>::~matrix()
+{
+ delete [] m;
+}
+
+template <class ElType>
+ matrix<ElType>& matrix<ElType>::operator =(const matrix<ElType> &s)
+{
+ if(this != &s)
+ {
+ delete []m;
+ rows= s.rows;
+ cols=s.cols;
+ m = new vector<ElType>[rows];
+ assert(m !=0);
+ for(int i=0;i<rows;i++) m[i]=s.m[i];
+ }
+ return *this;
+}
+template <class ElType>
+ vector<ElType>& matrix<ElType>::operator[](const int i)
+{
+ assert(i>=0 && i < rows);
+ return m[i];
+}
+template <class ElType>
+ vector<ElType> matrix<ElType>::operator*(const vector<ElType>& v)
+{
+ int i,j;
+ assert(cols == v.len);
+ vector<ElType> ans(rows);
+ for(i=0;i<rows;i++)
+ {
+ ans.data[i]=0.0;
+ for(j=0;j<cols;j++) ans.data[i] += m[i][j]*v.data[j];
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> operator*(const ElType& x,const matrix<ElType>& s)
+{
+ matrix<ElType> ans(s.rows,s.cols);
+ for(int i=0;i<ans.rows;i++)
+ {
+ ans.m[i]= x*s.m[i];
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> matrix<ElType>::transpose()
+{
+ matrix<ElType> ans(cols,rows);
+ for(int i=0;i<rows;i++)
+ {
+ for(int j=0;j<cols;j++) ans[j][i]=m[i][j];
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> operator*(const matrix<ElType>& s,const ElType& x)
+{
+ matrix<ElType> ans(s.rows,s.cols);
+ for(int i=0;i<ans.rows;i++)
+ {
+ ans.m[i]= x*s.m[i];
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> matrix<ElType> ::operator*(const matrix<ElType>& a)
+{
+
+ assert(cols == a.rows);
+
+ matrix<ElType> ans(rows,a.cols);
+ for(int i=0;i<rows;i++)
+ {
+ for(int j=0;j<a.cols;j++)
+ {
+ ans.m[i][j]=0.0;
+ for(int k=0;k<cols;k++)
+ {
+ ans.m[i][j] += m[i][k]*a.m[k][j];
+ }
+ }
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> matrix<ElType> ::operator+(const matrix<ElType> & a)
+{
+ int i,j;
+
+ assert(rows== a.rows);
+ assert(cols== a.cols);
+
+ matrix<ElType> ans(a.rows,a.cols);
+ for(i=0;i<a.rows;i++)
+ {
+ for(j=0;j<a.cols;j++)
+ {
+ ans.m[i][j] = m[i][j] + a.m[i][j]; //faster than assigning vectors?
+ }
+ }
+ return ans;
+}
+template <class ElType>
+ matrix<ElType> matrix<ElType>::operator-(const matrix<ElType>& a)
+{
+ int i,j;
+ assert(rows == a.rows);
+ assert(cols == a.cols);
+ matrix ans(rows,cols);
+ for(i=0;i<rows;i++)
+ {
+ for(j=0;j<cols;j++)
+ ans.m[i][j] = m[i][j] - a.m[i][j];
+ }
+ return ans;
+}
+template <class ElType>
+ std::ostream& operator<<(std::ostream& s,matrix<ElType>& m)
+{
+ for(int i=0; i<m.rows;i++) s << m[i];
+ return s;
+}
+
+#define TINY 1.0e-20;
+//we assume fabs(ElType) is defined
+//assignment of doubles to ElType is defined
+template <class ElType>
+void ludcmp(matrix<ElType>& a, vector<int>& indx,double& d)
+{
+ int i,imax,j,k;
+ ElType big,dum,sum,temp;
+ int n=a.rows;
+ vector<ElType> vv(n);
+ assert(a.rows == a.cols);
+ d=1.0;
+ for (i=0;i<n;i++)
+ {
+ big=0.0;
+// kdDebug() << "new search" << endl;
+ for (j=0;j<n;j++) { if ((temp=fabs(a[i][j])) > big) big=temp;
+/* kdDebug() << temp << " " << fabs(a[i][j]) << " "<< big <<endl; */}
+ if (big == 0.0) { std::cerr << "Singular matrix in routine LUDCMP" << std::endl; big = TINY;}
+ vv[i]=1.0/big;
+ }
+ for (j=0;j<n;j++)
+ {
+ for (i=0;i<j;i++)
+ {
+ sum=a[i][j];
+ for (k=0;k<i;k++) sum -= a[i][k]*a[k][j];
+ a[i][j]=sum;
+ }
+ big=0.0;
+ for (i=j;i<n;i++)
+ {
+ sum=a[i][j];
+ for (k=0;k<j;k++) sum -= a[i][k]*a[k][j];
+ a[i][j]=sum;
+ if ( (dum=vv[i]*fabs(sum)) >= big)
+ {
+ big=dum;
+ imax=i;
+ }
+ }
+ if (j != imax)
+ {
+ for (k=0;k<n;k++)
+ {
+ dum=a[imax][k];
+ a[imax][k]=a[j][k];
+ a[j][k]=dum;
+ }
+ d = -(d);
+ vv[imax]=vv[j];
+ }
+ indx[j]=imax;
+ if (a[j][j] == 0.0) a[j][j]=TINY;
+ if (j != n-1) {
+ dum=1.0/(a[j][j]);
+ for (i=j+1;i<n;i++) a[i][j] *= dum;
+ }
+ }
+}
+#undef TINY
+template <class ElType>
+void lubksb(matrix<ElType>& a,vector<int>& indx,vector<ElType>& b)
+{
+ int i,ip,j;
+ ElType sum;
+ int n=a.rows;
+ for (i=0;i<n;i++)
+ {
+ ip=indx[i];
+ sum=b[ip];
+ b[ip]=b[i];
+ for (j=0;j<=i-1;j++) sum -= a[i][j]*b[j];
+ b[i]=sum;
+ }
+ for (i=n-1;i>=0;i--)
+ {
+ sum=b[i];
+ for (j=i+1;j<n;j++) sum -= a[i][j]*b[j];
+ b[i]=sum/a[i][i];
+ }
+}
+
+
+
+}
+#endif
+
+double* KisPerspectiveMath::computeMatrixTransfo( const KisPoint& topLeft1, const KisPoint& topRight1, const KisPoint& bottomLeft1, const KisPoint& bottomRight1 , const KisPoint& topLeft2, const KisPoint& topRight2, const KisPoint& bottomLeft2, const KisPoint& bottomRight2)
+{
+ double* matrix = new double[9];
+
+ math::matrix<double> a(10,10);
+ math::vector<double> b(10);
+ math::vector<int> indx(10);
+ double d = 0.;
+ for(int i = 0; i <= 9; i++)
+ {
+ for(int j = 0; j <= 9; j++)
+ {
+ a[i][j] = 0.;
+ }
+ b[i] = 0.;
+ indx[i] = 0;
+ }
+
+ // topLeft
+ a[0][0] = topLeft1.x();
+ a[0][1] = topLeft1.y();
+ a[0][2] = 1;
+ a[0][6] = -topLeft2.x() * topLeft1.x();
+ a[0][7] = -topLeft2.x() * topLeft1.y();
+ a[0][8] = -topLeft2.x();
+ a[1][3] = topLeft1.x();
+ a[1][4] = topLeft1.y();
+ a[1][5] = 1;
+ a[1][6] = -topLeft2.y() * topLeft1.x();
+ a[1][7] = -topLeft2.y() * topLeft1.y();
+ a[1][8] = -topLeft2.y();
+ // topRight
+ a[2][0] = topRight1.x();
+ a[2][1] = topRight1.y();
+ a[2][2] = 1;
+ a[2][6] = -topRight2.x() * topRight1.x();
+ a[2][7] = -topRight2.x() * topRight1.y();
+ a[2][8] = -topRight2.x();
+ a[3][3] = topRight1.x();
+ a[3][4] = topRight1.y();
+ a[3][5] = 1;
+ a[3][6] = -topRight2.y() * topRight1.x();
+ a[3][7] = -topRight2.y() * topRight1.y();
+ a[3][8] = -topRight2.y();
+ // bottomLeft1
+ a[4][0] = bottomLeft1.x();
+ a[4][1] = bottomLeft1.y();
+ a[4][2] = 1;
+ a[4][6] = -bottomLeft2.x() * bottomLeft1.x();
+ a[4][7] = -bottomLeft2.x() * bottomLeft1.y();
+ a[4][8] = -bottomLeft2.x();
+ a[5][3] = bottomLeft1.x();
+ a[5][4] = bottomLeft1.y();
+ a[5][5] = 1;
+ a[5][6] = -bottomLeft2.y() * bottomLeft1.x();
+ a[5][7] = -bottomLeft2.y() * bottomLeft1.y();
+ a[5][8] = -bottomLeft2.y();
+ // bottomRight
+ a[6][0] = bottomRight1.x();
+ a[6][1] = bottomRight1.y();
+ a[6][2] = 1;
+ a[6][6] = -bottomRight2.x() * bottomRight1.x();
+ a[6][7] = -bottomRight2.x() * bottomRight1.y();
+ a[6][8] = -bottomRight2.x();
+ a[7][3] = bottomRight1.x();
+ a[7][4] = bottomRight1.y();
+ a[7][5] = 1;
+ a[7][6] = -bottomRight2.y() * bottomRight1.x();
+ a[7][7] = -bottomRight2.y() * bottomRight1.y();
+ a[7][8] = -bottomRight2.y();
+ a[8][8] = 1;
+ b[8] = 1;
+// kdDebug() << " a := { { " << a[0][0] << " , " << a[0][1] << " , " << a[0][2] << " , " << a[0][3] << " , " << a[0][4] << " , " << a[0][5] << " , " << a[0][6] << " , " << a[0][7] << " , " << a[0][8] << " } , { " << a[1][0] << " , " << a[1][1] << " , " << a[1][2] << " , " << a[1][3] << " , " << a[1][4] << " , " << a[1][5] << " , " << a[1][6] << " , " << a[1][7] << " , " << a[1][8] << " } , { " << a[2][0] << " , " << a[2][1] << " , " << a[2][2] << " , " << a[2][3] << " , " << a[2][4] << " , " << a[2][5] << " , " << a[2][6] << " , " << a[2][7] << " , " << a[2][8] << " } , { " << a[3][0] << " , " << a[3][1] << " , " << a[3][2] << " , " << a[3][3] << " , " << a[3][4] << " , " << a[3][5] << " , " << a[3][6] << " , " << a[3][7] << " , " << a[3][8] << " } , { " << a[4][0] << " , " << a[4][1] << " , " << a[4][2] << " , " << a[4][3] << " , " << a[4][4] << " , " << a[4][5] << " , " << a[4][6] << " , " << a[4][7] << " , " << a[4][8] << " } , { " << a[5][0] << " , " << a[5][1] << " , " << a[5][2] << " , " << a[5][3] << " , " << a[5][4] << " , " << a[5][5] << " , " << a[5][6] << " , " << a[5][7] << " , " << a[5][8] << " } , { " << a[6][0] << " , " << a[6][1] << " , " << a[6][2] << " , " << a[6][3] << " , " << a[6][4] << " , " << a[6][5] << " , " << a[6][6] << " , " << a[6][7] << " , " << a[6][8] << " } , { "<< a[7][0] << " , " << a[7][1] << " , " << a[7][2] << " , " << a[7][3] << " , " << a[7][4] << " , " << a[7][5] << " , " << a[7][6] << " , " << a[7][7] << " , " << a[7][8] << " } , { "<< a[8][0] << " , " << a[8][1] << " , " << a[8][2] << " , " << a[8][3] << " , " << a[8][4] << " , " << a[8][5] << " , " << a[8][6] << " , " << a[8][7] << " , " << a[8][8] << " } }; " << endl;
+ math::ludcmp<double>(a,indx,d);
+ math::lubksb<double>(a,indx,b);
+
+ for(int i = 0; i < 9; i++)
+ {
+ matrix[i] = b[i];
+ }
+ return matrix;
+}
+
+double* KisPerspectiveMath::computeMatrixTransfoToPerspective(const KisPoint& topLeft, const KisPoint& topRight, const KisPoint& bottomLeft, const KisPoint& bottomRight, const QRect& r)
+{
+ return KisPerspectiveMath::computeMatrixTransfo(topLeft, topRight, bottomLeft, bottomRight, r.topLeft(), r.topRight(), r.bottomLeft(), r.bottomRight());
+}
+
+double* KisPerspectiveMath::computeMatrixTransfoFromPerspective(const QRect& r, const KisPoint& topLeft, const KisPoint& topRight, const KisPoint& bottomLeft, const KisPoint& bottomRight)
+{
+ return KisPerspectiveMath::computeMatrixTransfo(r.topLeft(), r.topRight(), r.bottomLeft(), r.bottomRight(), topLeft, topRight, bottomLeft, bottomRight);
+}
+