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/*
* This file is part of gerbolyze, a vector image preprocessing toolchain
* Copyright (C) 2021 Jan Sebastian Götte <gerbolyze@jaseg.de>
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published by
* the Free Software Foundation, either version 3 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
#pragma once
#include <array>
#include <string>
#include <sstream>
#include <iomanip>
#include <cmath>
#include <algorithm>
#include <clipper.hpp>
#include "svg_import_defs.h"
using namespace std;
namespace gerbolyze {
typedef std::array<double, 2> d2p;
typedef std::vector<d2p> Polygon;
typedef std::array<int64_t, 2> i2p;
typedef std::vector<i2p> Polygon_i;
class xform2d {
public:
xform2d(double xx, double yx, double xy, double yy, double x0=0.0, double y0=0.0) :
xx(xx), yx(yx), xy(xy), yy(yy), x0(x0), y0(y0) {}
xform2d() : xform2d(1.0, 0.0, 0.0, 1.0) {}
xform2d(const string &svg_transform) : xform2d() {
if (svg_transform.empty())
return;
string start("matrix(");
if (svg_transform.substr(0, start.length()) != start)
return;
if (svg_transform.back() != ')')
return;
const string &foo = svg_transform.substr(start.length(), svg_transform.length());
const string &bar = foo.substr(0, foo.length() - 1);
istringstream xform(bar);
double a, c, e,
b, d, f;
xform >> a >> b >> c >> d >> e >> f;
if (xform.fail())
return;
xx=a, yx=b, xy=c, yy=d, x0=e, y0=f;
//cerr << "xform loaded " << dbg_str() << endl;
}
xform2d &translate(double x, double y) {
xform2d xf(1, 0, 0, 1, x, y);
transform(xf);
return *this;
}
xform2d &scale(double x, double y) {
xform2d xf(x, 0, 0, y);
transform(xf);
return *this;
}
xform2d &transform(const xform2d &other) {
double n_xx = other.xx * xx + other.yx * xy;
double n_yx = other.xx * yx + other.yx * yy;
double n_xy = other.xy * xx + other.yy * xy;
double n_yy = other.xy * yx + other.yy * yy;
double n_x0 = other.x0 * xx + other.y0 * xy + x0;
double n_y0 = other.x0 * yx + other.y0 * yy + y0;
xx = n_xx;
yx = n_yx;
xy = n_xy;
yy = n_yy;
x0 = n_x0;
y0 = n_y0;
return *this;
};
double doc2phys_dist(double dist_doc) {
return dist_doc * sqrt(xx*xx + xy*xy);
}
double phys2doc_dist(double dist_doc) {
return dist_doc / sqrt(xx*xx + xy*xy);
}
double doc2phys_skew(double dist_doc) {
/* https://math.stackexchange.com/a/3521141 */
/* xx yx x0
* xy yy y0 */
s_x = sqrt();
}
double doc2phys_min(double dist_doc) {
return dist_doc * fmin(sqrt(xx*xx + xy*xy), sqrt(yy*yy + yx*yx));
}
double doc2phys_max(double dist_doc) {
return dist_doc * fmax(sqrt(xx*xx + xy*xy), sqrt(yy*yy + yx*yx));
}
d2p doc2phys(const d2p p) {
return d2p {
xx * p[0] + xy * p[1] + x0,
yx * p[0] + yy * p[1] + y0
};
}
xform2d &invert(bool *success_out=nullptr) {
/* From Cairo source */
/* inv (A) = 1/det (A) * adj (A) */
double det = xx*yy - yx*xy;
if (det == 0 || !isfinite(det)) {
if (success_out)
*success_out = false;
*this = xform2d(); /* unity matrix */
return *this;
}
*this = xform2d(yy/det, -yx/det,
-xy/det, xx/det,
(xy*y0 - yy*x0)/det, (yx*x0 - xx*y0)/det);
if (success_out)
*success_out = true;
return *this;
}
/* Transform given clipper paths */
void doc2phys_clipper(ClipperLib::Paths &paths) {
for (auto &p : paths) {
doc2phys_clipper(p);
}
}
void doc2phys_clipper(ClipperLib::Path &path) {
std::transform(path.begin(), path.end(), path.begin(),
[this](ClipperLib::IntPoint p) -> ClipperLib::IntPoint {
d2p out(this->doc2phys(d2p{p.X / clipper_scale, p.Y / clipper_scale}));
return {
(ClipperLib::cInt)round(out[0] * clipper_scale),
(ClipperLib::cInt)round(out[1] * clipper_scale)
};
});
}
/* Transform given clipper paths */
void phys2doc_clipper(ClipperLib::Paths &paths) {
for (auto &p : paths) {
phys2doc_clipper(p);
}
}
void phys2doc_clipper(ClipperLib::Path &path) {
std::transform(path.begin(), path.end(), path.begin(),
[this](ClipperLib::IntPoint p) -> ClipperLib::IntPoint {
d2p out(this->doc2phys(d2p{p.X / clipper_scale, p.Y / clipper_scale}));
return {
(ClipperLib::cInt)round(out[0] * clipper_scale),
(ClipperLib::cInt)round(out[1] * clipper_scale)
};
});
}
void transform_polygon(Polygon &poly) {
std::transform(poly.begin(), poly.end(), poly.begin(),
[this](d2p p) -> d2p {
return this->doc2phys(d2p{p[0], p[1]});
});
}
string dbg_str() {
ostringstream os;
os << "xform2d< " << setw(5);
os << xx << ", " << xy << ", " << x0 << " / ";
os << yy << ", " << yx << ", " << y0;
os << " >";
return os.str();
}
private:
double xx, yx,
xy, yy,
x0, y0;
};
}
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