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/* MetaContour, version 0.1 -------------------------------------- */
/* Copyright(C) 2004, Brooks Moses */
/* */
/* This version of MetaContour is made available under the Gnu */
/* Public License; see metacontour_main.cc for details. */
/* */
/* This is a very pre-release version of MetaContour, distributed */
/* primarily as an example of a use of MetaPlot. It can be */
/* compiled with gcc using the line: */
/* */
/* g++ metacontour.cc cpoint.cc metacontour_main.cc */
/* */
/*-----------------------------------------------------------------*/
/* Class for 2D points with one data value each */
#include<sstream>
#include"cpoint.h"
using namespace std;
//-----cpoint--------------------------------------------------
cpoint::cpoint() {
x = 0;
y = 0;
z = 0;
}
cpoint::cpoint(double xx, double yy, double zz) {
x = xx;
y = yy;
z = zz;
}
cpoint cpoint::interpolateto(cpoint x2, double z3) {
double w = (z3-z)/(x2.z-z);
if (w > 1) w=1;
if (w < 0) w=0;
double x3 = x + (x2.x-x)*w;
double y3 = y + (x2.y-y)*w;
return cpoint(x3,y3,z3);
}
cpoint cpoint::partwayto(cpoint x2, double w) {
if (w > 1) w=1;
if (w < 0) w=0;
double x3 = x + (x2.x-x)*w;
double y3 = y + (x2.y-y)*w;
double z3 = z + (x2.z-z)*w;
return cpoint(x3,y3,z3);
}
// Derivation:
// F = ax + by + cxy + d x,y in [0,1]
// Fx = a + by, Fy = b + cx
// Thus: saddle point S is at (-b/c, -a/c)
// Plugging this in, and solving, we get
// F(S) = (f00*f11 - f01*f10) / (f00 + f11 - f01 - f10)
//
// Note: mapping x1 = (0,0), x2 = (1,0), x3 = (1,1), x4 = (0,1)
//
double cpoint::saddlepoint(cpoint x1, cpoint x2, cpoint x3, cpoint x4) {
return (x1.z * x3.z - x2.z * x4.z) / (x1.z + x3.z - x2.z - x4.z);
}
string cpoint::metapoint() {
ostringstream pointstring;
pointstring.setf(ios_base::fixed,ios_base::floatfield);
pointstring.precision(5);
pointstring << '(' << x << ',' << y << ')';
return pointstring.str();
}
//-----cparray-------------------------------------------------
cparray::cparray(int x, int y) {
if (x<1) x=1;
if (y<1) y=1;
i = x;
j = y;
a = new valarray<cpoint>(x*y);
}
cparray::~cparray() {
delete a;
}
cpoint& cparray::operator()(int x, int y)
{
return (*a)[x*j+y];
}
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