/usr/include/freefem++/R2.h is in libfreefem++-dev 3.47+dfsg1-2build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 | // -*- Mode : c++ -*-
//
// SUMMARY :
// USAGE :
// ORG :
// AUTHOR : Frederic Hecht
// E-MAIL : hecht@ann.jussieu.fr
//
/*
This file is part of Freefem++
Freefem++ is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version.
Freefem++ 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 Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with Freefem++; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
namespace bamg {
template <class R,class RR> class P2xP2;
template <class R,class RR>
class P2 {
public:
R x,y;
P2 () :x(0),y(0) {};
P2 (R a,R b) :x(a),y(b) {}
P2 (P2 A,P2 B) : x(B.x-A.x),y(B.y-A.y) {}
P2<R,RR> operator+(const P2<R,RR> & cc) const {return P2<R,RR>(x+cc.x,y+cc.y);}
P2<R,RR> operator-(const P2<R,RR> & cc) const {return P2<R,RR>(x-cc.x,y-cc.y);}
P2<R,RR> operator-() const{return P2<R,RR>(-x,-y);}
// RR operator*(const P2<R,RR> & cc) const {return (RR) x* (RR) cc.x+(RR) y* (RR) cc.y;} // produit scalaire
RR operator,(const P2<R,RR> & cc) const {return (RR) x* (RR) cc.x+(RR) y* (RR) cc.y;} // produit scalaire
P2<R,RR> operator*(R cc) const {return P2<R,RR>(x*cc,y*cc);}
// P2<R,RR> operator*(RR cc) const {return P2<R,RR>((R)(x*cc),(R)(y*cc));}
P2<R,RR> operator/(R cc) const {return P2<R,RR>(x/cc,y/cc);}
P2<R,RR> operator+=(const P2<R,RR> & cc) {x += cc.x;y += cc.y;return *this;}
P2<R,RR> operator/=(const R r) {x /= r;y /= r;return *this;}
P2<R,RR> operator*=(const R r) {x *= r;y *= r;return *this;}
P2<R,RR> operator-=(const P2<R,RR> & cc) {x -= cc.x;y -= cc.y;return *this;}
// P2<R,RR> Orthogonal(const P2<R,RR> r) {return P2<R,RR>(-r.y,r.x);}
};
template <class R,class RR>
class P2xP2 { // x ligne 1 y ligne2
friend ostream& operator <<(ostream& f, const P2xP2<R,RR> & c)
{ f << '[' << c.x << ',' << c.y << ']' <<flush ; return f; }
friend P2<R,RR> operator*(P2<R,RR> c,P2xP2<R,RR> cc)
{return P2<R,RR>(c.x*cc.x.x + c.y*cc.y.x, c.x*cc.x.y + c.y*cc.y.y);}
public:
P2<R,RR> x,y;
P2xP2 (): x(),y() {}
P2xP2 (P2<R,RR> a,P2<R,RR> b): x(a),y(b) {}
P2xP2 (P2<R,RR> a,P2<R,RR> b,P2<R,RR> c ): x(b-a),y(c-a) {}
P2xP2 (R xx,R xy,R yx,R yy) :x(xx,xy),y(yx,yy) {}
P2<R,RR> operator*(const P2<R,RR> c) const {return P2<R,RR>(x.x*c.x + x.y*c.y, y.x*c.x + y.y*c.y);}
P2xP2<R,RR> operator*(P2xP2<R,RR> c) const
{ return P2xP2<R,RR>(x.x*c.x.x + x.y*c.y.x,
x.x*c.x.y + x.y*c.y.y,
y.x*c.x.x + y.y*c.y.x,
y.x*c.x.y + y.y*c.y.y);}
RR det() const {return (RR) x.x* (RR) y.y - (RR) x.y * (RR) y.x;}
P2xP2<R,RR> inv() const
{ RR d = (*this).det();
return P2xP2<R,RR>((R)( y.y /d) ,(R)(-x.y/d),(R)( -y.x/d) ,(R)( x.x/d) );
};
P2xP2<R,RR> t() {return P2xP2<R,RR>(x.x,y.x,x.y,y.y);} //transposer
P2<R,RR>tx() {return P2<R,RR>(x.x,y.x);}
P2<R,RR>ty() {return P2<R,RR>(x.y,y.y);}
};
//template <class R,class RR> // transposer
//inline P2xP2<R,RR> t(P2xP2<R,RR> m)
// {return P2xP2<R,RR>(m.x.x,m.y.x,m.x.y,m.y.y);}
template <class R,class RR>
inline RR Det(const P2<R,RR> x,const P2<R,RR> y) {
return (RR) x.x * (RR) y.y - (RR) x.y * (RR) y.x ;}
template <class R,class RR>
inline RR Area2 (const P2<R,RR> a,const P2<R,RR> b,const P2<R,RR> c) {
return Det(b-a,c-a) ;}
template <class R,class RR>
inline R Norme1 (const P2<R,RR> x) {
return (Abs(x.x)+Abs(x.y)) ;}
template <class R,class RR>
inline R NormeInfini (const P2<R,RR> x) {
return Max(Abs(x.x),Abs(x.y)) ;}
template <class R,class RR>
inline RR Norme2_2 (const P2<R,RR> x) {
return (RR)x.x*(RR)x.x + (RR)x.y*(RR)x.y ;}
template <class R,class RR>
inline RR Norme2 (const P2<R,RR> x) {
return sqrt((RR)x.x*(RR)x.x + (RR)x.y*(RR)x.y) ;}
template <class R,class RR>
inline P2<R,RR> Orthogonal (const P2<R,RR> x) {
return P2<R,RR>(-x.y,x.x);}
template <class R,class RR>
inline ostream& operator <<(ostream& f, const P2<R,RR> & c)
{ f << '[' << c.x << ',' << c.y <<']' <<flush ; return f; }
/*template <class R,class RR>
inline P2<R,RR> Min2(P2<R,RR> x,P2<R,RR> y)
{return P2<R,RR>(Min(x.x,y.x),Min(x.y,y.y) ;}
template <class R,class RR>
inline P2<R,RR> Max2(P2<R,RR> x,P2<R,RR> y)
{return P2<R,RR>(Max(x.x,y.x),Max(x.y,y.y) ;}
*/
}
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