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Plot.cpp
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#include <nV/Number.h>
#include "Plot.h"
namespace nV {
namespace Graphics {
Plot::Plot(Kernel& k, const Tuple& cmd) : k(k) {
typedef struct {
double ymax_d;
double ymin_d;
} Y_data,*Py_data;
//this->k = k;
filling = FILL_NULL;
rangeSet = false;
colorFunctionSet = false;
var expr = cmd[1];
var xrange = cmd[2];
xparam = xrange.tuple()[1];
xmin = toD(N(k, k.eval(xrange.tuple()[2])).object());
xmax = toD(N(k, k.eval(xrange.tuple()[3])).object());
if(expr.isTuple($.List)) {
curnum = expr.tuple().size - 1;
}else {
curnum = 1;
expr = list(expr);
}
if (cmd[cmd.size - 1].isTuple(SYS(Options))) {
var opts = cmd[cmd.size - 1];
readOptions(opts.tuple());
}
this->expression = expr;
curs = new Curve*[curnum];
//bool hassingularity = false;
Py_data p_ydata = new Y_data[curnum];
bool *singularity = new bool[curnum];
std::vector< std::vector<singularitynode *> > singularityset(curnum);
std::vector< std::vector<domain *> > nanrangeallset(curnum);
for(uint i = 0; i < curnum; i++) {
F1P *f2d = new F1P(k, expr.tuple()[i + 1], xparam);
singularity[i] = hassingularity(f2d, singularityset[i], p_ydata[i].ymin_d, p_ydata[i].ymax_d, nanrangeallset[i]);
delete f2d;
}
if(rangeSet == 1) {
} else {
/*ymin = p_ydata[0].ymin_d;
ymax = p_ydata[0].ymax_d;
for (uint i = 1; i < curnum; i++) {
if (p_ydata[i].ymin_d < ymin)
ymin = p_ydata[i].ymin_d;
if (p_ydata[i].ymax_d > ymax)
ymax = p_ydata[i].ymax_d;
}*/
/*double total_ymax = 0.0, total_ymin = 0.0;
for(uint i = 0; i < curnum; i++) {
total_ymax += p_ydata[i].ymax_d;
total_ymin += p_ydata[i].ymin_d;
}
ymax = total_ymax / curnum;
ymin = total_ymin / curnum;*/
double ymin1,ymin2;
double ymax1,ymax2;
bool flag1=false,flag2=false;
for(uint i = 0; i < curnum; i++) {
if(singularity[i]==true)
{
if(flag1==false)
{
flag1=true;
ymin1=p_ydata[i].ymin_d;
ymax1=p_ydata[i].ymax_d;
}
else
{
if(p_ydata[i].ymin_d<ymin1)
ymin1=p_ydata[i].ymin_d;
if(p_ydata[i].ymax_d>ymax1)
ymax1=p_ydata[i].ymax_d;
}
}
else
{
if(flag2==false)
{
flag2=true;
ymin2=p_ydata[i].ymin_d;
ymax2=p_ydata[i].ymax_d;
}
else
{
if(p_ydata[i].ymin_d<ymin2)
ymin2=p_ydata[i].ymin_d;
if(p_ydata[i].ymax_d>ymax2)
ymax2=p_ydata[i].ymax_d;
}
}
}
if(flag1==true&&flag2==true)
{
if(ymax2>ymax1||ymin2<ymin1)
{
ymax=ymax1+(ymax1-ymin1)/4;
ymin=ymin1-(ymax1-ymin1)/4;
}else
{
ymax=ymax1;
ymin=ymin1;
}
}else if(flag1==true&&flag2==false)
{
ymax=ymax1;
ymin=ymin1;
}else if(flag1==false &&flag2==true)
{
ymax=ymax2;
ymin=ymin2;
}
}
for(uint i = 0; i < curnum; i++) {
F1P *f2d = new F1P(k, expr.tuple()[i + 1], xparam);
if(nanrangeallset[i].size() != 0) {
if(!colorFunctionSet) {
curs[i] = (Curve *)(new PlotWithDomain(f2d, nanrangeallset[i], ymin, ymax));
} else {
curs[i] = (Curve *)(new PlotWithDomain(f2d, nanrangeallset[i], cf, ymin, ymax));
}
delete f2d;
continue;
}
if(!singularity[i]) {
if(!colorFunctionSet) {
curs[i] = (Curve *)(new CommonCurveWithPlotRange(f2d, xmin, xmax, ymin, ymax));
} else {
curs[i] = (Curve *)(new CommonCurveWithPlotRange(f2d, xmin, xmax, ymin, ymax, cf));
}
} else {
if(!colorFunctionSet) {
curs[i] = (Curve *)(new CommonCurveWithPlotRange(f2d, xmin, xmax, ymin, ymax, singularityset[i]));
} else {
curs[i] = (Curve *)(new CommonCurveWithPlotRange(f2d, xmin, xmax, ymin, ymax, singularityset[i], cf));
}
}
delete f2d;
}
delete [] p_ydata;
delete [] singularity;
}
Plot::~Plot() {
for (uint i = 0; i < curnum; i++) {
delete curs[i];
}
delete[] curs;
}
var Plot::exportGraphics() {
for (uint i = 0; i < curnum; i++) {
if (isNaN(curs[i]->spy)) {
var shapelist = list(tuple($.List, new Real(0.0, 0), new Real(0.0, 0)),
tuple($.List, new Real(0.1, 0), new Real(0.0, 0)), SYS(Line));
var opts = makeGlobalOptions();
var graphics = makeGraphics(shapelist, opts);
return graphics;
}
}
if (filling == FILL_NULL) {
//命令个数为1的情况
var shapelist; //命令个数
if (!colorFunctionSet) {
shapelist = list(curnum,SYS(Shape));
for (uint i = 0; i < curnum; i++) {
Hue* hue = getHue(i);
shapelist.tuple()[i+1] = makeLine(curs[i], hue);
delete hue;
}
} else {
var temp = tuple(curnum);
uint size_temp = 0;
for (uint i = 0; i < curnum; i++) {
temp.tuple()[i] = makeColorfulLines(curs[i]);
size_temp += (temp.tuple()[i].tuple().size - 1);
}
uint totalnum = 1;
if(size_temp == 0) {
}else {
shapelist = list(size_temp, SYS(Shape));
for(uint i = 0; i < curnum; ++i) {
for(uint j = 0; j < ((temp.tuple()[i]).tuple()).size - 1; ++j) {
shapelist.tuple()[totalnum] = temp.tuple()[i].tuple()[j + 1];
++totalnum;
}
}
}
}
var opts = makeGlobalOptions();
var graphics = makeGraphics(shapelist, opts);
return graphics;
} else if (filling == FILL_TO_CURVE) {
var verts;
var* line_indices = new var[curnum];
makeDirectiveOfLines(curs, curnum, &verts, line_indices);
var shapes = list(curnum + 1,SYS(Directive));
for (uint i = 0; i < curnum; i++) {
var l = list(line_indices[i].tuple().size, SYS(Line));
for (size_t j = 0; j < (line_indices[i].tuple().size - 1); j++)
l.tuple()[j + 1] = line_indices[i].tuple()[j + 1];
var opt = makeHueOption(getHue(i));
l.tuple()[line_indices[i].tuple().size] = opt;
shapes.tuple()[i + 1] = l;
}
var poly;
if(fillcur1 < curnum && fillcur2 < curnum) {
//poly = addVecReversed(line_indices[fillcur1].tuple()[1], line_indices[fillcur2].tuple()[1]); //fix it
if(curs[fillcur1]->WithDomain || curs[fillcur2]->WithDomain) {
poly = addvecreversedwithxrange(&line_indices, expression, verts, curs, fillcur1, fillcur2, curnum);
} else {
if(!curs[fillcur1]->singularity && !curs[fillcur2]->singularity) {
poly = addVecReversed(line_indices[fillcur1], line_indices[fillcur2],
expression.tuple()[fillcur1 + 1], expression.tuple()[fillcur2 + 1], verts); //fix it
} else if(curs[fillcur1]->singularity && !curs[fillcur2]->singularity) {
poly = addVecReversed(line_indices[fillcur2], line_indices[fillcur1], expression.tuple()[fillcur2 + 1],
expression.tuple()[fillcur1 + 1], verts, curs[fillcur2], curs[fillcur1], curs[fillcur1]->singularityset);
} else if(!curs[fillcur1]->singularity && curs[fillcur2]->singularity) {
poly = addVecReversed(line_indices[fillcur1], line_indices[fillcur2], expression.tuple()[fillcur1 + 1],
expression.tuple()[fillcur2 + 1], verts, curs[fillcur1], curs[fillcur2], curs[fillcur2]->singularityset);
}else {
poly=addVecReversed(curs[fillcur1],curs[fillcur2],line_indices[fillcur1],line_indices[fillcur2],expression.tuple()[fillcur1 + 1],
expression.tuple()[fillcur2 + 1], curs[fillcur1]->singularityset,curs[fillcur2]->singularityset,verts);
}
}
var opt = makeHueOption(getLightHue(0));
//shapes.tuple()[curnum + 1] = poly;
//shapes.tuple()[curnum + 2] = opt;
if(!curs[fillcur1]->singularity && !curs[fillcur2]->singularity && !curs[fillcur1]->WithDomain && !curs[fillcur2]->WithDomain) {
shapes.tuple()[curnum + 1] = list(poly,opt,SYS(Polygon));
} else {
var old_shapes = shapes;
shapes = list(old_shapes.tuple().size + poly.tuple().size - 3,SYS(Directive));
uint i = 0;
for(; i < old_shapes.tuple().size - 2; i++) {
shapes.tuple()[i + 1] = old_shapes.tuple()[i + 1];
}
for(;i < shapes.tuple().size - 1; i++) {
//opt = makeHueOption(getLightHue(i));
var temp_poly= poly.tuple()[i - (old_shapes.tuple().size - 3)];
var temp_shapes = list(temp_poly,opt,SYS(Polygon));
shapes.tuple()[i + 1] = temp_shapes;
}
}
}
delete[] line_indices;
//var directive = list(shapes,SYS(Directive));
//var complex = list(verts, directive, SYS(GraphicsComplex));
var complex = list(verts, shapes, SYS(GraphicsComplex));
//var complex = list(list(verts, directive), SYS(GraphicsComplex));
var shape = list(complex, SYS(Shape));
var opts = makeGlobalOptions();
var graphics = makeGraphics(shape, opts);
return graphics;
} else if (filling == FILL_TO_AXES) {
var verts;
var* line_indices = new var[curnum+1];
ArrayList<Point2d*> vaxis;
vaxis.clear();
vaxis.add(new Point2d(xmin, 0));
vaxis.add(new Point2d(xmax, 0));
Curve* axis = new Curve(vaxis);
Curve** newcurves = new Curve*[curnum+1];
for (int i = 0; i < curnum; i++)
newcurves[i] = curs[i];
newcurves[curnum] = axis;
//var expr_axis = list(new Integer(0L), key(_W("x")), $.Times);
var expr_axis = list(new Integer(0L), xparam, $.Times);
int curnum_bak = curnum++;
makeDirectiveOfLines(newcurves, curnum, &verts, line_indices);
var shapes = list(curnum + 1,SYS(Directive));
for (uint i = 0; i < curnum; i++) {
var l = list(line_indices[i].tuple().size, SYS(Line));
for (size_t j = 0; j < (line_indices[i].tuple().size - 1); j++)
l.tuple()[j + 1] = line_indices[i].tuple()[j + 1];
var opt = makeHueOption(getHue(i));
l.tuple()[line_indices[i].tuple().size] = opt;
shapes.tuple()[i + 1] = l;
}
var poly;
if(fillcur1 < curnum - 1) {
if(newcurves[fillcur1]->WithDomain) {
var expression_old = expression;
expression = list(expression_old.tuple().size);
for(uint i = 0; i < expression_old.tuple().size - 1; i++) {
expression.tuple()[i + 1] = expression_old.tuple()[i + 1];
}
expression.tuple()[expression_old.tuple().size] = expr_axis;
poly = addvecreversedwithxrange(&line_indices, expression, verts, newcurves, fillcur1, curnum - 1, curnum);
expression = expression_old;
} else {
if(!newcurves[fillcur1]->singularity) {
poly = addVecReversed(line_indices[fillcur1], line_indices[curnum - 1]); //fix it
} else {
poly = addVecReversed(line_indices[curnum - 1], line_indices[fillcur1],
expr_axis, expression.tuple()[fillcur1 + 1], verts,
newcurves[curnum - 1], newcurves[fillcur1], curs[fillcur1]->singularityset);
}
}
var opt = makeHueOption(getLightHue(0));
if(!newcurves[fillcur1]->singularity && !newcurves[fillcur1]->WithDomain) {
shapes.tuple()[curnum + 1] = list(poly,opt,SYS(Polygon));
} else {
var old_shapes = shapes;
shapes = list(old_shapes.tuple().size + poly.tuple().size - 3,SYS(Directive));
uint i = 0;
for(; i < old_shapes.tuple().size - 2; i++) {
shapes.tuple()[i + 1] = old_shapes.tuple()[i + 1];
}
for(;i < shapes.tuple().size - 1; i++) {
opt = makeHueOption(getLightHue(0));
var temp_poly= poly.tuple()[i - (old_shapes.tuple().size - 3)];
var temp_shapes = list(temp_poly,opt,SYS(Polygon));
shapes.tuple()[i + 1] = temp_shapes;
}
}
}
delete[] line_indices;
var complex = list(verts, shapes, SYS(GraphicsComplex));
var shape = list(complex, SYS(Shape));
var opts = makeGlobalOptions();
var graphics = makeGraphics(shape, opts);
curnum = curnum_bak;
return graphics;
}
return null;
}
void Plot::setRule(var title, var rule) {
if (title == SYS(FillToCurve)) {
filling = FILL_TO_CURVE;
fillcur1 = toD(N(k, k.eval(rule.tuple()[1])).object());
fillcur2 = toD(N(k, k.eval(rule.tuple()[2])).object());
if (!(fillcur1 < curnum && fillcur2 < curnum) ||
!(fillcur1 >= 0 && fillcur2 >= 0)) {
filling = FILL_NULL;
}
} else if (title == SYS(FillToAxes)) {
filling = FILL_TO_AXES;
fillcur1 = toD(N(k, k.eval(rule.tuple()[1])).object());
if (!(fillcur1 >= 0 && fillcur1 < curnum)) {
filling = FILL_NULL;
}
} else if (title == SYS(PlotRange)) { //plot range set or auto plot range
if (rule.tuple().size == 3) {
rangeSet = 1;
ymin = toD(N(k, k.eval(rule.tuple()[1])).object());
ymax = toD(N(k, k.eval(rule.tuple()[2])).object());
} else {
rangeSet = 2; //auto range
}
} else if (title == SYS(ColorFunction)) { //has color function
colorFunctionSet = true;
var fun = rule;
cf = new F1P(k,fun, xparam);
}
//to do color function in hue(f1,f2,f3) or color(f1,f2,f3)
setCommonRule(title, rule);
}
var Plot::addvecreversedwithxrange(var **line_indices_f, var expr_f, var &verts_f, Curve **curs_f, int fillcur1_f, int fillcur2_f, int curnum_f) {
var poly;
if(curs_f[fillcur1_f]->WithDomain && !curs_f[fillcur2_f]->WithDomain) {
double xmax_old = xmax;
double xmin_old = xmin;
var r, temp;
temp = list(curs_f[fillcur1_f]->Domains.size());
uint total = 0;
for(uint i = 0; i < curs_f[fillcur1_f]->Domains.size(); i++) {
xmin = curs_f[fillcur1_f]->Domains[i]->min;
xmax = curs_f[fillcur1_f]->Domains[i]->max;
r = addVecReversed(line_indices_f, expr_f, verts_f, curs_f, fillcur1_f, fillcur2_f, curnum_f, i);
total += r.tuple().size - 1;
temp.tuple()[i + 1] = r;
}
poly = list(total);
uint count = 1;
for(uint i = 0; i < temp.tuple().size - 1; i++) {
for(uint j = 0; j < temp.tuple()[i + 1].tuple().size - 1; j++) {
poly.tuple()[count++] = temp.tuple()[i + 1].tuple()[j + 1];
}
}
xmax = xmax_old;
xmin = xmin_old;
return poly;
} else if(!curs_f[fillcur1_f]->WithDomain && curs_f[fillcur2_f]->WithDomain) {
double xmax_old = xmax;
double xmin_old = xmin;
var r, temp;
temp = list(curs_f[fillcur2_f]->Domains.size());
uint total = 0;
for(uint i = 0; i < curs_f[fillcur2_f]->Domains.size(); i++) {
xmin = curs_f[fillcur2_f]->Domains[i]->min;
xmax = curs_f[fillcur2_f]->Domains[i]->max;
r = addVecReversed(line_indices_f, expr_f, verts_f, curs_f, fillcur2_f, fillcur1_f, curnum_f, i);
total += r.tuple().size - 1;
temp.tuple()[i + 1] = r;
}
poly = list(total);
uint count = 1;
for(uint i = 0; i < temp.tuple().size - 1; i++) {
for(uint j = 0; j < temp.tuple()[i + 1].tuple().size - 1; j++) {
poly.tuple()[count++] = temp.tuple()[i + 1].tuple()[j + 1];
}
}
xmax = xmax_old;
xmin = xmin_old;
return poly;
} else if(curs_f[fillcur1_f]->WithDomain && curs_f[fillcur2_f]->WithDomain)
{
double max_old=xmax;
double min_old=xmin;
var r,temp;
uint sum=0;
for(uint i = 0; i < curs_f[fillcur1_f]->Domains.size(); i++) {
for(uint j=0;j<curs_f[fillcur2_f]->Domains.size();j++)
{
double x_min1=curs_f[fillcur1_f]->Domains[i]->min;
double x_min2=curs_f[fillcur2_f]->Domains[j]->min;
double x_max1=curs_f[fillcur1_f]->Domains[i]->max;
double x_max2=curs_f[fillcur2_f]->Domains[j]->max;
if((x_min1>=x_max2)||(x_max1<=x_min2))
continue;
else
sum++;
}
//xmin = curs_f[fillcur2_f]->Domains[i]->min;
//xmax = curs_f[fillcur2_f]->Domains[i]->max;
/* r = addVecReversed(line_indices_f, expr_f, verts_f, curs_f, fillcur2_f, fillcur1_f, curnum_f, i);
total += r.tuple().size - 1;
temp.tuple()[i + 1] = r;*/
}
temp=list(sum);
uint total = 0;
for(uint i = 0; i < curs_f[fillcur1_f]->Domains.size(); i++) {
for(uint j=0;j<curs_f[fillcur2_f]->Domains.size();j++)
{
double x_min1=curs_f[fillcur1_f]->Domains[i]->min;
double x_min2=curs_f[fillcur2_f]->Domains[j]->min;
double x_max1=curs_f[fillcur1_f]->Domains[i]->max;
double x_max2=curs_f[fillcur2_f]->Domains[j]->max;
if((x_min1>=x_max2)||(x_max1<=x_min2))
continue;
else
{
if(x_min1<x_min2)
xmin=x_min2;
else
xmin=x_min1;
if(x_max1<x_max2)
xmax=x_max1;
else
xmax=x_max2;
r = addVecReversed(line_indices_f, expr_f, verts_f, curs_f, fillcur2_f, fillcur1_f, curnum_f, i,j);
total += r.tuple().size - 1;
temp.tuple()[i + 1] = r;
}
}
}
poly = list(total);
uint count = 1;
for(uint i = 0; i < temp.tuple().size - 1; i++) {
for(uint j = 0; j < temp.tuple()[i + 1].tuple().size - 1; j++) {
poly.tuple()[count++] = temp.tuple()[i + 1].tuple()[j + 1];
}
}
xmax = max_old;
xmin = min_old;
return poly;
}
return null;
}
var Plot::addVecReversed(var **line_indices_f, var expr_f, var &verts_f, Curve ** curs_f, int fillcur1_f, int fillcur2_f, int curnum_f, uint i) {
var poly;
std::vector<singularitynode *> singularityset_f;
if(curs_f[fillcur2_f]->singularity) {
for(uint i = 0; i < curs_f[fillcur2_f]->singularityset.size(); i++) {
if(curs_f[fillcur2_f]->singularityset[i]->x <= xmax && curs_f[fillcur2_f]->singularityset[i]->x >= xmin) {
singularityset_f.push_back(curs_f[fillcur2_f]->singularityset[i]);
}
}
}
if(curs_f[fillcur1_f]->Domains[i]->singularityset.size() == 0 && singularityset_f.size() == 0) {
var poly_temp;
poly_temp = addVecReversed((*line_indices_f)[fillcur1_f], (*line_indices_f)[fillcur2_f],
expr_f.tuple()[fillcur1_f + 1], expr_f.tuple()[fillcur2_f + 1], verts_f); //fix it
poly = list(poly_temp);
} else if(curs_f[fillcur1_f]->Domains[i]->singularityset.size() != 0 && singularityset_f.size() == 0) {
poly = addVecReversed((*line_indices_f)[fillcur2_f], (*line_indices_f)[fillcur1_f], expr_f.tuple()[fillcur2_f + 1],
expr_f.tuple()[fillcur1_f + 1], verts_f, curs_f[fillcur2_f], curs_f[fillcur1_f], curs_f[fillcur1_f]->Domains[i]->singularityset);
} else if(curs_f[fillcur1_f]->Domains[i]->singularityset.size() == 0 && singularityset_f.size() != 0) {
poly = addVecReversed((*line_indices_f)[fillcur1_f], (*line_indices_f)[fillcur2_f], expr_f.tuple()[fillcur1_f + 1],
expr_f.tuple()[fillcur2_f + 1], verts_f, curs_f[fillcur1_f], curs_f[fillcur2_f], singularityset_f);
}else {
poly=addVecReversed(curs_f[fillcur1_f],curs_f[fillcur2_f],(*line_indices_f)[fillcur1_f],(*line_indices_f)[fillcur2_f],expr_f.tuple()[fillcur1_f + 1],
expr_f.tuple()[fillcur2_f + 1], curs_f[fillcur1_f]->Domains[i]->singularityset,singularityset_f,verts_f);
}
return poly;
}
var Plot::addVecReversed(var **line_indices_f, var expr_f, var &verts_f, Curve ** curs_f, int fillcur1_f, int fillcur2_f, int curnum_f, uint i,uint j)
{
var poly;
std::vector<singularitynode *> singularityset_f1;
std::vector<singularitynode *> singularityset_f2;
for(uint fi = 0; fi < curs_f[fillcur1_f]->Domains[i]->singularityset.size(); fi++) {
if(curs_f[fillcur1_f]->Domains[i]->singularityset[fi]->x <= xmax && curs_f[fillcur1_f]->Domains[i]->singularityset[fi]->x >= xmin) {
singularityset_f1.push_back(curs_f[fillcur1_f]->Domains[i]->singularityset[fi]);
}
}
for(uint fi = 0; fi < curs_f[fillcur2_f]->Domains[j]->singularityset.size(); fi++) {
if(curs_f[fillcur2_f]->Domains[j]->singularityset[fi]->x <= xmax && curs_f[fillcur2_f]->Domains[j]->singularityset[fi]->x >= xmin) {
singularityset_f2.push_back(curs_f[fillcur2_f]->Domains[j]->singularityset[fi]);
}
}
if(singularityset_f2.size()== 0 && singularityset_f1.size() == 0) {
var poly_temp;
poly_temp = addVecReversed((*line_indices_f)[fillcur1_f], (*line_indices_f)[fillcur2_f],
expr_f.tuple()[fillcur1_f + 1], expr_f.tuple()[fillcur2_f + 1], verts_f); //fix it
poly = list(poly_temp);
} else if(singularityset_f2.size() == 0 && singularityset_f1.size() != 0) {
poly = addVecReversed((*line_indices_f)[fillcur2_f], (*line_indices_f)[fillcur1_f], expr_f.tuple()[fillcur2_f + 1],
expr_f.tuple()[fillcur1_f + 1], verts_f, curs_f[fillcur2_f], curs_f[fillcur1_f], singularityset_f1);
} else if(singularityset_f2.size() != 0 && singularityset_f1.size() == 0) {
poly = addVecReversed((*line_indices_f)[fillcur1_f], (*line_indices_f)[fillcur2_f], expr_f.tuple()[fillcur1_f + 1],
expr_f.tuple()[fillcur2_f + 1], verts_f, curs_f[fillcur1_f], curs_f[fillcur2_f], singularityset_f2);
}else {
poly=addVecReversed(curs_f[fillcur1_f],curs_f[fillcur2_f],(*line_indices_f)[fillcur1_f],(*line_indices_f)[fillcur2_f],expr_f.tuple()[fillcur1_f + 1],
expr_f.tuple()[fillcur2_f + 1], singularityset_f1,singularityset_f2, verts_f);
}
return poly;
}
var Plot::addVecReversed(var vec1, var vec2, var expr1, var expr2, var &out_verts) {
uint totaldata = 0;
var old_out_verts = out_verts;
out_verts = list(old_out_verts.tuple().size + 3);
for(uint i = 0; i < old_out_verts.tuple().size - 1; i++) {
out_verts.tuple()[i + 1] = old_out_verts.tuple()[i + 1];
}
F1P f1 = F1P(k, expr1, xparam);
F1P f2 = F1P(k, expr2, xparam);
out_verts.tuple()[out_verts.tuple().size - 4] = tuple($.List, new Real(xmax, 0), new Real(ymax, 0));
out_verts.tuple()[out_verts.tuple().size - 3] = tuple($.List, new Real(xmax, 0), new Real(ymin, 0));
out_verts.tuple()[out_verts.tuple().size - 2] = tuple($.List, new Real(xmin, 0), new Real(ymax, 0));
out_verts.tuple()[out_verts.tuple().size - 1] = tuple($.List, new Real(xmin, 0), new Real(ymin, 0));
for(uint i = 0; i < vec1.tuple().size - 1; i++) {
totaldata += (vec1.tuple()[i + 1].tuple().size - 1);
}
//y1,y2分别为对应1号和2号函数在x边界处的函数值
double y1 = f1.getSingleData(xmax);
double y2 = f2.getSingleData(xmax);
if(!((y1 > ymax && y2 > ymax) || (y1 < ymin && y2 < ymin) || (( y1 > ymin) && (y1 < ymax)) && ((y2 > ymin) && (y2 < ymax)))) {
if(y1 >= ymax) {
totaldata++;
if(y2 <= ymin) {
totaldata++;
}
}else if(y1 <= ymin) {
totaldata++;
if(y2 >= ymax) {
totaldata++;
}
}else {
if(y2 >= ymax) {
totaldata++;
}else if(y2 <= ymin) {
totaldata++;
}
}
}
for(uint i = 0; i < vec2.tuple().size - 1; i++) {
totaldata += (vec2.tuple()[i + 1].tuple().size - 1);
}
y1 = f1.getSingleData(xmin);
y2 = f2.getSingleData(xmin);
if(!((y1 > ymax && y2 > ymax) || (y1 < ymin && y2 < ymin) || (( y1 > ymin) && (y1 < ymax)) && ((y2 > ymin) && (y2 < ymax)))) {
if(y2 >= ymax) {
totaldata++;
if(y1 <= ymin) {
totaldata++;
}
}else if(y2 <= ymin) {
totaldata++;
if(y1 >= ymax) {
totaldata++;
}
}else {
if(y1 >= ymax) {
totaldata++;
}else if(y1 <= ymin) {
totaldata++;
}
}
}
var v = list(totaldata);
uint temp = 1;
for(uint i = 0; i < vec1.tuple().size - 1; i++) {
for(uint j = 0; j < vec1.tuple()[i + 1].tuple().size - 1; j++) {
v.tuple()[temp++] = vec1.tuple()[i + 1].tuple()[j + 1];
}
}
y1 = f1.getSingleData(xmax);
y2 = f2.getSingleData(xmax);
if(!((y1 > ymax && y2 > ymax) || (y1 < ymin && y2 < ymin) || (( y1 > ymin) && (y1 < ymax)) && ((y2 > ymin) && (y2 < ymax)))) {
if(y1 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 5));
if(y2 <= ymin) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 4));
}
}else if(y1 <= ymin) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 4));
if(y2 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 5));
}
}else {
if(y2 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 5));
}else if(y2 <= ymin){
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 4));
}
}
}
for(uint i = vec2.tuple().size - 1; i > 0; i--) {
for(uint j = vec2.tuple()[i].tuple().size - 1; j > 0; j--) {
v.tuple()[temp++] = vec2.tuple()[i].tuple()[j];
}
}
y1 = f1.getSingleData(xmin);
y2 = f2.getSingleData(xmin);
if(!((y1 > ymax && y2 > ymax) || (y1 < ymin && y2 < ymin) || (( y1 > ymin) && (y1 < ymax)) && ((y2 > ymin) && (y2 < ymax)))) {
if(y2 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 3));
if(y1 <= ymin) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 2));
}
}else if(y2 <= ymin) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 2));
if(y1 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 3));
}
}else {
if(y1 >= ymax) {
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 3));
}else if(y1 <= ymin){
v.tuple()[temp++] = new Integer((long)(out_verts.tuple().size - 2));
}
}
}
//return v;
return v;
}
var Plot::addVecReversed(var vec1, var vec2) {
uint totaldata = 0;
for(uint i = 0; i < vec1.tuple().size - 1; i++) {
totaldata += (vec1.tuple()[i + 1].tuple().size - 1);
}
for(uint i = 0; i < vec2.tuple().size - 1; i++) {
totaldata += (vec2.tuple()[i + 1].tuple().size - 1);
}
var v = list(totaldata);
uint temp = 1;
for(uint i = 0; i < vec1.tuple().size - 1; i++) {
for(uint j = 0; j < vec1.tuple()[i + 1].tuple().size - 1; j++) {
v.tuple()[temp++] = vec1.tuple()[i + 1].tuple()[j + 1];
}
}
for(uint i = vec2.tuple().size - 1; i > 0; i--) {
for(uint j = vec2.tuple()[i].tuple().size - 1; j > 0; j--) {
v.tuple()[temp++] = vec2.tuple()[i].tuple()[j];
}
}
return v;
}
//
//
//判定奇点，并限定ymin和ymax
//
//
bool Plot::hassingularity(F1P *f, std::vector<singularitynode *> &singularityset,
double &ymin, double &ymax, std::vector<domain *> &nanrangeset,
double spx, double spy,
double graphScale, double dx) {
bool singularity = false;
//std::vector<singularitynode *> singularityset;
int bigDataNum = 500;
double *x = new double[bigDataNum];
double *y = new double[bigDataNum];
for (int i = 0; i < bigDataNum; i++) {
x[i] = xmin + (xmax - xmin) * i / (bigDataNum - 1);
}
f->getArrayData(x, y, bigDataNum);
ArrayList<Point2d*> vert;
ArrayList<double> d;
for (int i = 0; i < bigDataNum; i++) {
vert.add(new Point2d(x[i], y[i]));
}
delete [] x;
delete [] y;
uint i = 0;
ymin = ymax = 0L;
for(; i < vert.size(); i++) {
if(!isNaN(vert[i]->y)) {
ymin = vert[i]->y;
ymax = vert[i]->y;
break;
}
}
for (; i < vert.size(); i++) {
if(!isNaN(vert[i]->y)) {
if (vert[i]->y > ymax) ymax = vert[i]->y;
if (vert[i]->y < ymin) ymin = vert[i]->y;
}
}
spx = xmax - xmin;
spy = ymax - ymin;
graphScale = spy / spx;
dx = spx / LARGE;
for (unsigned int i = 0; i < vert.size(); i++) {
d.add(f->getDerivative(vert[i]->x, dx));
}
//
//去除斜率太大的点
//
bool vrm = true; //vert removed
bool isnanfunction = false;
std::vector<bool> flag(vert.size(), false); //if true, the vert's derivative is too big
std::vector<bool> nanflag(vert.size(), false); //if true, the vert's value is NaN
//std::vector<domain> nanrangeset; //the set of one curve's range
std::vector<uint> nannodesite; //the site of the node which is the border
int count = 0;
while (vrm) {
vrm = false;
for (unsigned int i = 0; i < vert.size(); i++) {
if(isNaN(d[i])) {
flag[i] = true;
nanflag[i] = true;
isnanfunction = true;
} else {
if(!flag[i]) {
if(graphScale != 0) {
if (std::abs(d[i]) / graphScale > MAX_DERIVATIVE) {
//vert.remove(i);
//d.remove(i);
singularity = true;
flag[i] = true;
vrm = true;
}
}
}
}
}
getyrange(ymax, ymin, graphScale, spx, spy, vert, flag, nanflag);
if(graphScale < MIN_GRAPHSCALE_MINIMUM_CURVE) {
break;
}
if(count >= MAX_DELETE_AMOUNT) {
break;
}
count++;
}
//
//探测函数的定义域
//
if(isnanfunction) {
detectnanborder(f, nanrangeset, nannodesite, nanflag, flag, vert);
}
//
//判定奇点的位置
//
if(singularity) {
if(isnanfunction) {
for(uint i = 0; i < nanrangeset.size(); i++) {
if(flag[nannodesite[i * 2]] != nanflag[nannodesite[i * 2]]) {
if(nannodesite[i * 2] < nannodesite[i * 2 + 1]) {
nannodesite[i * 2]++;
}
}
if(flag[nannodesite[i * 2 + 1]] != nanflag[nannodesite[i * 2 + 1]]) {
if(nannodesite[i * 2 + 1] > nannodesite[i * 2]) {
nannodesite[i * 2 + 1]--;
}
}
getsingularityset(flag.begin() + nannodesite[i * 2], nanflag.begin() + nannodesite[i * 2], nannodesite[i * 2 + 1] - nannodesite[i * 2] + 1,
nanrangeset[i]->singularityset, nanrangeset[i]->max, nanrangeset[i]->min, d.begin() + nannodesite[i * 2], vert.begin() + nannodesite[i * 2]);
}
} else {
getsingularityset(flag.begin(), nanflag.begin(), vert.size(), singularityset, xmax, xmin, d.begin(), vert.begin());
}
//for(uint i = 0; i < singularityset.size(); i++) {
// std::cout << singularityset[i]->x << ' ' << singularityset[i]->leftd << ' ' << singularityset[i]->rightd << std::endl;
//}
}
for(ArrayList<Point2d*>::iterator it = vert.begin(); it != vert.end(); it++) {
delete (*it);
}
vert.clear();
return singularity;
}
void Plot::getsingularityset(std::vector<bool>::iterator flag, std::vector<bool>::iterator nanflag, uint size,std::vector<singularitynode *> &singularityset,
double t_xmax, double t_xmin, ArrayList<double>::iterator d, ArrayList<Point2d *>::iterator vert) {
singularitynode *temp;
if(flag[0]) {
temp = new singularitynode;
temp->x = t_xmin;
uint m = 1;
for(; m < size - 1 && flag[m]; m++) {
}
if(m != size - 1) {
temp->lefty = vert[m-1]->y;
temp->leftd = d[m-1];
temp->righty = vert[m-1]->y;
temp->rightd = d[m-1];
}else {
temp->lefty = vert[0]->y;
temp->leftd = d[0];
temp->righty = vert[0]->y;
temp->rightd = d[0];
}
singularityset.push_back(temp);
}
uint k = 0;
for(; k < size - 1; k++) {
if(!flag[k] && flag[k + 1]) {
uint j = k + 1;
for(; j < size - 1; j++) {
if(flag[j] && !flag[j + 1]) {
temp = new singularitynode;
temp->x = (vert[k]->x + vert[j + 1]->x) / 2.0;
temp->lefty = vert[k]->y;
temp->leftd = d[k];
temp->righty = vert[j + 1]->y;
temp->rightd = d[j + 1];
singularityset.push_back(temp);
k = j;
break;
}
}
if(j == (size - 1) && flag[size - 1]) {
temp = new singularitynode;
//temp->x = vert[size - 1]->x;
temp->x = t_xmax;
temp->lefty = vert[k]->y;
temp->leftd = d[k];
temp->righty = vert[k]->y;
temp->rightd = d[k];
singularityset.push_back(temp);
}
}
}
}
void Plot::getyrange(double &ymax, double &ymin, double &graphScale, double &spx, double &spy,
const std::vector<Point2d *> &vert, const std::vector<bool> &flag, const std::vector<bool> &nanflag) {
for(uint i = 0; i < vert.size(); i++) {
if(!flag[i] && !nanflag[i]) {
ymin = vert[i]->y;
ymax = vert[i]->y;
break;
}
}
for (uint i = 0; i < vert.size(); i++) {
if(!flag[i] && !nanflag[i]) {
if (vert[i]->y > ymax) ymax = vert[i]->y;
if (vert[i]->y < ymin) ymin = vert[i]->y;
}
}
spy = ymax - ymin;
graphScale = spy / spx;
}
void Plot::detectnanborder(F1P *f, std::vector<domain *> &nanrangeset, std::vector<uint> &nannodesite,
const std::vector<bool> &nanflag, const std::vector<bool> &derivativeflag,
const std::vector<Point2d *> &vert) {
double xright;
uint deepth = 5;
domain *node;
bool locationflag = false;
for(uint i = 0; i < nanflag.size() - 1; i++) {
if(nanflag[i] && !nanflag[i + 1]) {
double x = (vert[i]->x + vert[i + 1]->x) / 2;
double y = f->getSingleData(x);
if(isNaN(y)) {
xright = getrightborder(f, x, vert[i + 1]->x, deepth);
} else {
xright = getrightborder(f, vert[i]->x, x, deepth);
}
locationflag = true;
node = new domain;
node->min = xright;
nannodesite.push_back(i + 1);
} else if(!nanflag[i] && nanflag[i + 1]) {
double x = (vert[i]->x + vert[i + 1]->x) / 2;
double y = f->getSingleData(x);
if(isNaN(y)) {
xright = getrightborder(f, x, vert[i]->x, deepth);
} else {
xright = getrightborder(f, vert[i + 1]->x, x, deepth);
}
if(!locationflag) {
node = new domain;
node->min = vert[0]->x;
nannodesite.push_back(0);
}
locationflag = false;
node->max = xright;
nannodesite.push_back(i);
nanrangeset.push_back(node);
}
}
if(locationflag) {
node->max = vert[vert.size() - 1]->x;
nannodesite.push_back(vert.size() - 1);
nanrangeset.push_back(node);
}
}
double Plot::getrightborder(F1P *f, double lx, double rx, uint deepth) {
double x = (lx + rx) / 2.0;
double y = f->getSingleData(x);
double xright;
if(deepth <= 0) {
if(!isNaN(y)) {
return x;
} else {
return rx;
}
}
if(isNaN(y)) {
xright = getrightborder(f, x, rx, --deepth);
} else {
xright = getrightborder(f, lx, x, --deepth);
}
return xright;
}
var Plot::addVecReversed(var vec1, var vec2,