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-rw-r--r--contrib/python/matplotlib/py2/src/_path.h1316
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diff --git a/contrib/python/matplotlib/py2/src/_path.h b/contrib/python/matplotlib/py2/src/_path.h
deleted file mode 100644
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--- a/contrib/python/matplotlib/py2/src/_path.h
+++ /dev/null
@@ -1,1316 +0,0 @@
-/* -*- mode: c++; c-basic-offset: 4 -*- */
-
-#ifndef __PATH_H__
-#define __PATH_H__
-
-#include <limits>
-#include <math.h>
-#include <vector>
-#include <cmath>
-#include <algorithm>
-
-#include "agg_conv_contour.h"
-#include "agg_conv_curve.h"
-#include "agg_conv_stroke.h"
-#include "agg_conv_transform.h"
-#include "agg_path_storage.h"
-#include "agg_trans_affine.h"
-
-#include "path_converters.h"
-#include "_backend_agg_basic_types.h"
-#include "numpy_cpp.h"
-
-struct XY
-{
- double x;
- double y;
-
- XY(double x_, double y_) : x(x_), y(y_)
- {
- }
-
- bool operator==(const XY& o)
- {
- return (x == o.x && y == o.y);
- }
-
- bool operator!=(const XY& o)
- {
- return (x != o.x || y != o.y);
- }
-};
-
-typedef std::vector<XY> Polygon;
-
-void _finalize_polygon(std::vector<Polygon> &result, int closed_only)
-{
- if (result.size() == 0) {
- return;
- }
-
- Polygon &polygon = result.back();
-
- /* Clean up the last polygon in the result. */
- if (polygon.size() == 0) {
- result.pop_back();
- } else if (closed_only) {
- if (polygon.size() < 3) {
- result.pop_back();
- } else if (polygon.front() != polygon.back()) {
- polygon.push_back(polygon.front());
- }
- }
-}
-
-//
-// The following function was found in the Agg 2.3 examples (interactive_polygon.cpp).
-// It has been generalized to work on (possibly curved) polylines, rather than
-// just polygons. The original comments have been kept intact.
-// -- Michael Droettboom 2007-10-02
-//
-//======= Crossings Multiply algorithm of InsideTest ========================
-//
-// By Eric Haines, 3D/Eye Inc, erich@eye.com
-//
-// This version is usually somewhat faster than the original published in
-// Graphics Gems IV; by turning the division for testing the X axis crossing
-// into a tricky multiplication test this part of the test became faster,
-// which had the additional effect of making the test for "both to left or
-// both to right" a bit slower for triangles than simply computing the
-// intersection each time. The main increase is in triangle testing speed,
-// which was about 15% faster; all other polygon complexities were pretty much
-// the same as before. On machines where division is very expensive (not the
-// case on the HP 9000 series on which I tested) this test should be much
-// faster overall than the old code. Your mileage may (in fact, will) vary,
-// depending on the machine and the test data, but in general I believe this
-// code is both shorter and faster. This test was inspired by unpublished
-// Graphics Gems submitted by Joseph Samosky and Mark Haigh-Hutchinson.
-// Related work by Samosky is in:
-//
-// Samosky, Joseph, "SectionView: A system for interactively specifying and
-// visualizing sections through three-dimensional medical image data",
-// M.S. Thesis, Department of Electrical Engineering and Computer Science,
-// Massachusetts Institute of Technology, 1993.
-//
-// Shoot a test ray along +X axis. The strategy is to compare vertex Y values
-// to the testing point's Y and quickly discard edges which are entirely to one
-// side of the test ray. Note that CONVEX and WINDING code can be added as
-// for the CrossingsTest() code; it is left out here for clarity.
-//
-// Input 2D polygon _pgon_ with _numverts_ number of vertices and test point
-// _point_, returns 1 if inside, 0 if outside.
-template <class PathIterator, class PointArray, class ResultArray>
-void point_in_path_impl(PointArray &points, PathIterator &path, ResultArray &inside_flag)
-{
- uint8_t yflag1;
- double vtx0, vty0, vtx1, vty1;
- double tx, ty;
- double sx, sy;
- double x, y;
- size_t i;
- bool all_done;
-
- size_t n = points.size();
-
- std::vector<uint8_t> yflag0(n);
- std::vector<uint8_t> subpath_flag(n);
-
- path.rewind(0);
-
- for (i = 0; i < n; ++i) {
- inside_flag[i] = 0;
- }
-
- unsigned code = 0;
- do {
- if (code != agg::path_cmd_move_to) {
- code = path.vertex(&x, &y);
- if (code == agg::path_cmd_stop ||
- (code & agg::path_cmd_end_poly) == agg::path_cmd_end_poly) {
- continue;
- }
- }
-
- sx = vtx0 = vtx1 = x;
- sy = vty0 = vty1 = y;
-
- for (i = 0; i < n; ++i) {
- ty = points(i, 1);
-
- if (std::isfinite(ty)) {
- // get test bit for above/below X axis
- yflag0[i] = (vty0 >= ty);
-
- subpath_flag[i] = 0;
- }
- }
-
- do {
- code = path.vertex(&x, &y);
-
- // The following cases denote the beginning on a new subpath
- if (code == agg::path_cmd_stop ||
- (code & agg::path_cmd_end_poly) == agg::path_cmd_end_poly) {
- x = sx;
- y = sy;
- } else if (code == agg::path_cmd_move_to) {
- break;
- }
-
- for (i = 0; i < n; ++i) {
- tx = points(i, 0);
- ty = points(i, 1);
-
- if (!(std::isfinite(tx) && std::isfinite(ty))) {
- continue;
- }
-
- yflag1 = (vty1 >= ty);
- // Check if endpoints straddle (are on opposite sides) of
- // X axis (i.e. the Y's differ); if so, +X ray could
- // intersect this edge. The old test also checked whether
- // the endpoints are both to the right or to the left of
- // the test point. However, given the faster intersection
- // point computation used below, this test was found to be
- // a break-even proposition for most polygons and a loser
- // for triangles (where 50% or more of the edges which
- // survive this test will cross quadrants and so have to
- // have the X intersection computed anyway). I credit
- // Joseph Samosky with inspiring me to try dropping the
- // "both left or both right" part of my code.
- if (yflag0[i] != yflag1) {
- // Check intersection of pgon segment with +X ray.
- // Note if >= point's X; if so, the ray hits it. The
- // division operation is avoided for the ">=" test by
- // checking the sign of the first vertex wrto the test
- // point; idea inspired by Joseph Samosky's and Mark
- // Haigh-Hutchinson's different polygon inclusion
- // tests.
- if (((vty1 - ty) * (vtx0 - vtx1) >= (vtx1 - tx) * (vty0 - vty1)) == yflag1) {
- subpath_flag[i] ^= 1;
- }
- }
-
- // Move to the next pair of vertices, retaining info as
- // possible.
- yflag0[i] = yflag1;
- }
-
- vtx0 = vtx1;
- vty0 = vty1;
-
- vtx1 = x;
- vty1 = y;
- } while (code != agg::path_cmd_stop &&
- (code & agg::path_cmd_end_poly) != agg::path_cmd_end_poly);
-
- all_done = true;
- for (i = 0; i < n; ++i) {
- tx = points(i, 0);
- ty = points(i, 1);
-
- if (!(std::isfinite(tx) && std::isfinite(ty))) {
- continue;
- }
-
- yflag1 = (vty1 >= ty);
- if (yflag0[i] != yflag1) {
- if (((vty1 - ty) * (vtx0 - vtx1) >= (vtx1 - tx) * (vty0 - vty1)) == yflag1) {
- subpath_flag[i] = subpath_flag[i] ^ true;
- }
- }
- inside_flag[i] |= subpath_flag[i];
- if (inside_flag[i] == 0) {
- all_done = false;
- }
- }
-
- if (all_done) {
- break;
- }
- } while (code != agg::path_cmd_stop);
-}
-
-template <class PathIterator, class PointArray, class ResultArray>
-inline void points_in_path(PointArray &points,
- const double r,
- PathIterator &path,
- agg::trans_affine &trans,
- ResultArray &result)
-{
- typedef agg::conv_transform<PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> no_nans_t;
- typedef agg::conv_curve<no_nans_t> curve_t;
- typedef agg::conv_contour<curve_t> contour_t;
-
- size_t i;
- for (i = 0; i < points.size(); ++i) {
- result[i] = false;
- }
-
- if (path.total_vertices() < 3) {
- return;
- }
-
- transformed_path_t trans_path(path, trans);
- no_nans_t no_nans_path(trans_path, true, path.has_curves());
- curve_t curved_path(no_nans_path);
- if (r != 0.0) {
- contour_t contoured_path(curved_path);
- contoured_path.width(r);
- point_in_path_impl(points, contoured_path, result);
- } else {
- point_in_path_impl(points, curved_path, result);
- }
-}
-
-template <class PathIterator>
-inline bool point_in_path(
- double x, double y, const double r, PathIterator &path, agg::trans_affine &trans)
-{
- npy_intp shape[] = {1, 2};
- numpy::array_view<double, 2> points(shape);
- points(0, 0) = x;
- points(0, 1) = y;
-
- int result[1];
- result[0] = 0;
-
- points_in_path(points, r, path, trans, result);
-
- return (bool)result[0];
-}
-
-template <class PathIterator, class PointArray, class ResultArray>
-void points_on_path(PointArray &points,
- const double r,
- PathIterator &path,
- agg::trans_affine &trans,
- ResultArray result)
-{
- typedef agg::conv_transform<PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> no_nans_t;
- typedef agg::conv_curve<no_nans_t> curve_t;
- typedef agg::conv_stroke<curve_t> stroke_t;
-
- size_t i;
- for (i = 0; i < points.size(); ++i) {
- result[i] = false;
- }
-
- transformed_path_t trans_path(path, trans);
- no_nans_t nan_removed_path(trans_path, true, path.has_curves());
- curve_t curved_path(nan_removed_path);
- stroke_t stroked_path(curved_path);
- stroked_path.width(r * 2.0);
- point_in_path_impl(points, stroked_path, result);
-}
-
-template <class PathIterator>
-inline bool point_on_path(
- double x, double y, const double r, PathIterator &path, agg::trans_affine &trans)
-{
- npy_intp shape[] = {1, 2};
- numpy::array_view<double, 2> points(shape);
- points(0, 0) = x;
- points(0, 1) = y;
-
- int result[1];
- result[0] = 0;
-
- points_on_path(points, r, path, trans, result);
-
- return (bool)result[0];
-}
-
-struct extent_limits
-{
- double x0;
- double y0;
- double x1;
- double y1;
- double xm;
- double ym;
-};
-
-void reset_limits(extent_limits &e)
-{
- e.x0 = std::numeric_limits<double>::infinity();
- e.y0 = std::numeric_limits<double>::infinity();
- e.x1 = -std::numeric_limits<double>::infinity();
- e.y1 = -std::numeric_limits<double>::infinity();
- /* xm and ym are the minimum positive values in the data, used
- by log scaling */
- e.xm = std::numeric_limits<double>::infinity();
- e.ym = std::numeric_limits<double>::infinity();
-}
-
-inline void update_limits(double x, double y, extent_limits &e)
-{
- if (x < e.x0)
- e.x0 = x;
- if (y < e.y0)
- e.y0 = y;
- if (x > e.x1)
- e.x1 = x;
- if (y > e.y1)
- e.y1 = y;
- /* xm and ym are the minimum positive values in the data, used
- by log scaling */
- if (x > 0.0 && x < e.xm)
- e.xm = x;
- if (y > 0.0 && y < e.ym)
- e.ym = y;
-}
-
-template <class PathIterator>
-void update_path_extents(PathIterator &path, agg::trans_affine &trans, extent_limits &extents)
-{
- typedef agg::conv_transform<PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> nan_removed_t;
- double x, y;
- unsigned code;
-
- transformed_path_t tpath(path, trans);
- nan_removed_t nan_removed(tpath, true, path.has_curves());
-
- nan_removed.rewind(0);
-
- while ((code = nan_removed.vertex(&x, &y)) != agg::path_cmd_stop) {
- if ((code & agg::path_cmd_end_poly) == agg::path_cmd_end_poly) {
- continue;
- }
- update_limits(x, y, extents);
- }
-}
-
-template <class PathGenerator, class TransformArray, class OffsetArray>
-void get_path_collection_extents(agg::trans_affine &master_transform,
- PathGenerator &paths,
- TransformArray &transforms,
- OffsetArray &offsets,
- agg::trans_affine &offset_trans,
- extent_limits &extent)
-{
- if (offsets.size() != 0 && offsets.dim(1) != 2) {
- throw std::runtime_error("Offsets array must be Nx2");
- }
-
- size_t Npaths = paths.size();
- size_t Noffsets = offsets.size();
- size_t N = std::max(Npaths, Noffsets);
- size_t Ntransforms = std::min(transforms.size(), N);
- size_t i;
-
- agg::trans_affine trans;
-
- reset_limits(extent);
-
- for (i = 0; i < N; ++i) {
- typename PathGenerator::path_iterator path(paths(i % Npaths));
- if (Ntransforms) {
- size_t ti = i % Ntransforms;
- trans = agg::trans_affine(transforms(ti, 0, 0),
- transforms(ti, 1, 0),
- transforms(ti, 0, 1),
- transforms(ti, 1, 1),
- transforms(ti, 0, 2),
- transforms(ti, 1, 2));
- } else {
- trans = master_transform;
- }
-
- if (Noffsets) {
- double xo = offsets(i % Noffsets, 0);
- double yo = offsets(i % Noffsets, 1);
- offset_trans.transform(&xo, &yo);
- trans *= agg::trans_affine_translation(xo, yo);
- }
-
- update_path_extents(path, trans, extent);
- }
-}
-
-template <class PathGenerator, class TransformArray, class OffsetArray>
-void point_in_path_collection(double x,
- double y,
- double radius,
- agg::trans_affine &master_transform,
- PathGenerator &paths,
- TransformArray &transforms,
- OffsetArray &offsets,
- agg::trans_affine &offset_trans,
- bool filled,
- e_offset_position offset_position,
- std::vector<int> &result)
-{
- size_t Npaths = paths.size();
-
- if (Npaths == 0) {
- return;
- }
-
- size_t Noffsets = offsets.size();
- size_t N = std::max(Npaths, Noffsets);
- size_t Ntransforms = std::min(transforms.size(), N);
- size_t i;
-
- agg::trans_affine trans;
-
- for (i = 0; i < N; ++i) {
- typename PathGenerator::path_iterator path = paths(i % Npaths);
-
- if (Ntransforms) {
- size_t ti = i % Ntransforms;
- trans = agg::trans_affine(transforms(ti, 0, 0),
- transforms(ti, 1, 0),
- transforms(ti, 0, 1),
- transforms(ti, 1, 1),
- transforms(ti, 0, 2),
- transforms(ti, 1, 2));
- trans *= master_transform;
- } else {
- trans = master_transform;
- }
-
- if (Noffsets) {
- double xo = offsets(i % Noffsets, 0);
- double yo = offsets(i % Noffsets, 1);
- offset_trans.transform(&xo, &yo);
- if (offset_position == OFFSET_POSITION_DATA) {
- trans = agg::trans_affine_translation(xo, yo) * trans;
- } else {
- trans *= agg::trans_affine_translation(xo, yo);
- }
- }
-
- if (filled) {
- if (point_in_path(x, y, radius, path, trans)) {
- result.push_back(i);
- }
- } else {
- if (point_on_path(x, y, radius, path, trans)) {
- result.push_back(i);
- }
- }
- }
-}
-
-template <class PathIterator1, class PathIterator2>
-bool path_in_path(PathIterator1 &a,
- agg::trans_affine &atrans,
- PathIterator2 &b,
- agg::trans_affine &btrans)
-{
- typedef agg::conv_transform<PathIterator2> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> no_nans_t;
- typedef agg::conv_curve<no_nans_t> curve_t;
-
- if (a.total_vertices() < 3) {
- return false;
- }
-
- transformed_path_t b_path_trans(b, btrans);
- no_nans_t b_no_nans(b_path_trans, true, b.has_curves());
- curve_t b_curved(b_no_nans);
-
- double x, y;
- b_curved.rewind(0);
- while (b_curved.vertex(&x, &y) != agg::path_cmd_stop) {
- if (!point_in_path(x, y, 0.0, a, atrans)) {
- return false;
- }
- }
-
- return true;
-}
-
-/** The clip_path_to_rect code here is a clean-room implementation of
- the Sutherland-Hodgman clipping algorithm described here:
-
- http://en.wikipedia.org/wiki/Sutherland-Hodgman_clipping_algorithm
-*/
-
-namespace clip_to_rect_filters
-{
-/* There are four different passes needed to create/remove
- vertices (one for each side of the rectangle). The differences
- between those passes are encapsulated in these functor classes.
-*/
-struct bisectx
-{
- double m_x;
-
- bisectx(double x) : m_x(x)
- {
- }
-
- inline void bisect(double sx, double sy, double px, double py, double *bx, double *by) const
- {
- *bx = m_x;
- double dx = px - sx;
- double dy = py - sy;
- *by = sy + dy * ((m_x - sx) / dx);
- }
-};
-
-struct xlt : public bisectx
-{
- xlt(double x) : bisectx(x)
- {
- }
-
- inline bool is_inside(double x, double y) const
- {
- return x <= m_x;
- }
-};
-
-struct xgt : public bisectx
-{
- xgt(double x) : bisectx(x)
- {
- }
-
- inline bool is_inside(double x, double y) const
- {
- return x >= m_x;
- }
-};
-
-struct bisecty
-{
- double m_y;
-
- bisecty(double y) : m_y(y)
- {
- }
-
- inline void bisect(double sx, double sy, double px, double py, double *bx, double *by) const
- {
- *by = m_y;
- double dx = px - sx;
- double dy = py - sy;
- *bx = sx + dx * ((m_y - sy) / dy);
- }
-};
-
-struct ylt : public bisecty
-{
- ylt(double y) : bisecty(y)
- {
- }
-
- inline bool is_inside(double x, double y) const
- {
- return y <= m_y;
- }
-};
-
-struct ygt : public bisecty
-{
- ygt(double y) : bisecty(y)
- {
- }
-
- inline bool is_inside(double x, double y) const
- {
- return y >= m_y;
- }
-};
-}
-
-template <class Filter>
-inline void clip_to_rect_one_step(const Polygon &polygon, Polygon &result, const Filter &filter)
-{
- double sx, sy, px, py, bx, by;
- bool sinside, pinside;
- result.clear();
-
- if (polygon.size() == 0) {
- return;
- }
-
- sx = polygon.back().x;
- sy = polygon.back().y;
- for (Polygon::const_iterator i = polygon.begin(); i != polygon.end(); ++i) {
- px = i->x;
- py = i->y;
-
- sinside = filter.is_inside(sx, sy);
- pinside = filter.is_inside(px, py);
-
- if (sinside ^ pinside) {
- filter.bisect(sx, sy, px, py, &bx, &by);
- result.push_back(XY(bx, by));
- }
-
- if (pinside) {
- result.push_back(XY(px, py));
- }
-
- sx = px;
- sy = py;
- }
-}
-
-template <class PathIterator>
-void
-clip_path_to_rect(PathIterator &path, agg::rect_d &rect, bool inside, std::vector<Polygon> &results)
-{
- double xmin, ymin, xmax, ymax;
- if (rect.x1 < rect.x2) {
- xmin = rect.x1;
- xmax = rect.x2;
- } else {
- xmin = rect.x2;
- xmax = rect.x1;
- }
-
- if (rect.y1 < rect.y2) {
- ymin = rect.y1;
- ymax = rect.y2;
- } else {
- ymin = rect.y2;
- ymax = rect.y1;
- }
-
- if (!inside) {
- std::swap(xmin, xmax);
- std::swap(ymin, ymax);
- }
-
- typedef agg::conv_curve<PathIterator> curve_t;
- curve_t curve(path);
-
- Polygon polygon1, polygon2;
- double x = 0, y = 0;
- unsigned code = 0;
- curve.rewind(0);
-
- do {
- // Grab the next subpath and store it in polygon1
- polygon1.clear();
- do {
- if (code == agg::path_cmd_move_to) {
- polygon1.push_back(XY(x, y));
- }
-
- code = curve.vertex(&x, &y);
-
- if (code == agg::path_cmd_stop) {
- break;
- }
-
- if (code != agg::path_cmd_move_to) {
- polygon1.push_back(XY(x, y));
- }
- } while ((code & agg::path_cmd_end_poly) != agg::path_cmd_end_poly);
-
- // The result of each step is fed into the next (note the
- // swapping of polygon1 and polygon2 at each step).
- clip_to_rect_one_step(polygon1, polygon2, clip_to_rect_filters::xlt(xmax));
- clip_to_rect_one_step(polygon2, polygon1, clip_to_rect_filters::xgt(xmin));
- clip_to_rect_one_step(polygon1, polygon2, clip_to_rect_filters::ylt(ymax));
- clip_to_rect_one_step(polygon2, polygon1, clip_to_rect_filters::ygt(ymin));
-
- // Empty polygons aren't very useful, so skip them
- if (polygon1.size()) {
- _finalize_polygon(results, 1);
- results.push_back(polygon1);
- }
- } while (code != agg::path_cmd_stop);
-
- _finalize_polygon(results, 1);
-}
-
-template <class VerticesArray, class ResultArray>
-void affine_transform_2d(VerticesArray &vertices, agg::trans_affine &trans, ResultArray &result)
-{
- if (vertices.size() != 0 && vertices.dim(1) != 2) {
- throw std::runtime_error("Invalid vertices array.");
- }
-
- size_t n = vertices.size();
- double x;
- double y;
- double t0;
- double t1;
- double t;
-
- for (size_t i = 0; i < n; ++i) {
- x = vertices(i, 0);
- y = vertices(i, 1);
-
- t0 = trans.sx * x;
- t1 = trans.shx * y;
- t = t0 + t1 + trans.tx;
- result(i, 0) = t;
-
- t0 = trans.shy * x;
- t1 = trans.sy * y;
- t = t0 + t1 + trans.ty;
- result(i, 1) = t;
- }
-}
-
-template <class VerticesArray, class ResultArray>
-void affine_transform_1d(VerticesArray &vertices, agg::trans_affine &trans, ResultArray &result)
-{
- if (vertices.dim(0) != 2) {
- throw std::runtime_error("Invalid vertices array.");
- }
-
- double x;
- double y;
- double t0;
- double t1;
- double t;
-
- x = vertices(0);
- y = vertices(1);
-
- t0 = trans.sx * x;
- t1 = trans.shx * y;
- t = t0 + t1 + trans.tx;
- result(0) = t;
-
- t0 = trans.shy * x;
- t1 = trans.sy * y;
- t = t0 + t1 + trans.ty;
- result(1) = t;
-}
-
-template <class BBoxArray>
-int count_bboxes_overlapping_bbox(agg::rect_d &a, BBoxArray &bboxes)
-{
- agg::rect_d b;
- int count = 0;
-
- if (a.x2 < a.x1) {
- std::swap(a.x1, a.x2);
- }
- if (a.y2 < a.y1) {
- std::swap(a.y1, a.y2);
- }
-
- size_t num_bboxes = bboxes.size();
- for (size_t i = 0; i < num_bboxes; ++i) {
- b = agg::rect_d(bboxes(i, 0, 0), bboxes(i, 0, 1), bboxes(i, 1, 0), bboxes(i, 1, 1));
-
- if (b.x2 < b.x1) {
- std::swap(b.x1, b.x2);
- }
- if (b.y2 < b.y1) {
- std::swap(b.y1, b.y2);
- }
- if (!((b.x2 <= a.x1) || (b.y2 <= a.y1) || (b.x1 >= a.x2) || (b.y1 >= a.y2))) {
- ++count;
- }
- }
-
- return count;
-}
-
-inline bool segments_intersect(const double &x1,
- const double &y1,
- const double &x2,
- const double &y2,
- const double &x3,
- const double &y3,
- const double &x4,
- const double &y4)
-{
- double den = ((y4 - y3) * (x2 - x1)) - ((x4 - x3) * (y2 - y1));
- if (den == 0.0) {
- return false;
- }
-
- double n1 = ((x4 - x3) * (y1 - y3)) - ((y4 - y3) * (x1 - x3));
- double n2 = ((x2 - x1) * (y1 - y3)) - ((y2 - y1) * (x1 - x3));
-
- double u1 = n1 / den;
- double u2 = n2 / den;
-
- return (u1 >= 0.0 && u1 <= 1.0 && u2 >= 0.0 && u2 <= 1.0);
-}
-
-template <class PathIterator1, class PathIterator2>
-bool path_intersects_path(PathIterator1 &p1, PathIterator2 &p2)
-{
- typedef PathNanRemover<py::PathIterator> no_nans_t;
- typedef agg::conv_curve<no_nans_t> curve_t;
-
- if (p1.total_vertices() < 2 || p2.total_vertices() < 2) {
- return false;
- }
-
- no_nans_t n1(p1, true, p1.has_curves());
- no_nans_t n2(p2, true, p2.has_curves());
-
- curve_t c1(n1);
- curve_t c2(n2);
-
- double x11, y11, x12, y12;
- double x21, y21, x22, y22;
-
- c1.vertex(&x11, &y11);
- while (c1.vertex(&x12, &y12) != agg::path_cmd_stop) {
- c2.rewind(0);
- c2.vertex(&x21, &y21);
- while (c2.vertex(&x22, &y22) != agg::path_cmd_stop) {
- if (segments_intersect(x11, y11, x12, y12, x21, y21, x22, y22)) {
- return true;
- }
- x21 = x22;
- y21 = y22;
- }
- x11 = x12;
- y11 = y12;
- }
-
- return false;
-}
-
-// returns whether the segment from (x1,y1) to (x2,y2)
-// intersects the rectangle centered at (cx,cy) with size (w,h)
-// see doc/segment_intersects_rectangle.svg for a more detailed explanation
-inline bool segment_intersects_rectangle(double x1, double y1,
- double x2, double y2,
- double cx, double cy,
- double w, double h)
-{
- return fabs(x1 + x2 - 2.0 * cx) < fabs(x1 - x2) + w &&
- fabs(y1 + y2 - 2.0 * cy) < fabs(y1 - y2) + h &&
- 2.0 * fabs((x1 - cx) * (y1 - y2) - (y1 - cy) * (x1 - x2)) <
- w * fabs(y1 - y2) + h * fabs(x1 - x2);
-}
-
-template <class PathIterator>
-bool path_intersects_rectangle(PathIterator &path,
- double rect_x1, double rect_y1,
- double rect_x2, double rect_y2,
- bool filled)
-{
- typedef PathNanRemover<py::PathIterator> no_nans_t;
- typedef agg::conv_curve<no_nans_t> curve_t;
-
- if (path.total_vertices() == 0) {
- return false;
- }
-
- no_nans_t no_nans(path, true, path.has_curves());
- curve_t curve(no_nans);
-
- double cx = (rect_x1 + rect_x2) * 0.5, cy = (rect_y1 + rect_y2) * 0.5;
- double w = fabs(rect_x1 - rect_x2), h = fabs(rect_y1 - rect_y2);
-
- double x1, y1, x2, y2;
-
- curve.vertex(&x1, &y1);
- if (2.0 * fabs(x1 - cx) <= w && 2.0 * fabs(y1 - cy) <= h) {
- return true;
- }
-
- while (curve.vertex(&x2, &y2) != agg::path_cmd_stop) {
- if (segment_intersects_rectangle(x1, y1, x2, y2, cx, cy, w, h)) {
- return true;
- }
- x1 = x2;
- y1 = y2;
- }
-
- if (filled) {
- agg::trans_affine trans;
- if (point_in_path(cx, cy, 0.0, path, trans)) {
- return true;
- }
- }
-
- return false;
-}
-
-template <class PathIterator>
-void convert_path_to_polygons(PathIterator &path,
- agg::trans_affine &trans,
- double width,
- double height,
- int closed_only,
- std::vector<Polygon> &result)
-{
- typedef agg::conv_transform<py::PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> nan_removal_t;
- typedef PathClipper<nan_removal_t> clipped_t;
- typedef PathSimplifier<clipped_t> simplify_t;
- typedef agg::conv_curve<simplify_t> curve_t;
-
- bool do_clip = width != 0.0 && height != 0.0;
- bool simplify = path.should_simplify();
-
- transformed_path_t tpath(path, trans);
- nan_removal_t nan_removed(tpath, true, path.has_curves());
- clipped_t clipped(nan_removed, do_clip && !path.has_curves(), width, height);
- simplify_t simplified(clipped, simplify, path.simplify_threshold());
- curve_t curve(simplified);
-
- result.push_back(Polygon());
- Polygon *polygon = &result.back();
- double x, y;
- unsigned code;
-
- while ((code = curve.vertex(&x, &y)) != agg::path_cmd_stop) {
- if ((code & agg::path_cmd_end_poly) == agg::path_cmd_end_poly) {
- _finalize_polygon(result, 1);
- result.push_back(Polygon());
- polygon = &result.back();
- } else {
- if (code == agg::path_cmd_move_to) {
- _finalize_polygon(result, closed_only);
- result.push_back(Polygon());
- polygon = &result.back();
- }
- polygon->push_back(XY(x, y));
- }
- }
-
- _finalize_polygon(result, closed_only);
-}
-
-template <class VertexSource>
-void
-__cleanup_path(VertexSource &source, std::vector<double> &vertices, std::vector<npy_uint8> &codes)
-{
- unsigned code;
- double x, y;
- do {
- code = source.vertex(&x, &y);
- vertices.push_back(x);
- vertices.push_back(y);
- codes.push_back((npy_uint8)code);
- } while (code != agg::path_cmd_stop);
-}
-
-template <class PathIterator>
-void cleanup_path(PathIterator &path,
- agg::trans_affine &trans,
- bool remove_nans,
- bool do_clip,
- const agg::rect_base<double> &rect,
- e_snap_mode snap_mode,
- double stroke_width,
- bool do_simplify,
- bool return_curves,
- SketchParams sketch_params,
- std::vector<double> &vertices,
- std::vector<unsigned char> &codes)
-{
- typedef agg::conv_transform<py::PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> nan_removal_t;
- typedef PathClipper<nan_removal_t> clipped_t;
- typedef PathSnapper<clipped_t> snapped_t;
- typedef PathSimplifier<snapped_t> simplify_t;
- typedef agg::conv_curve<simplify_t> curve_t;
- typedef Sketch<curve_t> sketch_t;
-
- transformed_path_t tpath(path, trans);
- nan_removal_t nan_removed(tpath, remove_nans, path.has_curves());
- clipped_t clipped(nan_removed, do_clip && !path.has_curves(), rect);
- snapped_t snapped(clipped, snap_mode, path.total_vertices(), stroke_width);
- simplify_t simplified(snapped, do_simplify, path.simplify_threshold());
-
- vertices.reserve(path.total_vertices() * 2);
- codes.reserve(path.total_vertices());
-
- if (return_curves && sketch_params.scale == 0.0) {
- __cleanup_path(simplified, vertices, codes);
- } else {
- curve_t curve(simplified);
- sketch_t sketch(curve, sketch_params.scale, sketch_params.length, sketch_params.randomness);
- __cleanup_path(sketch, vertices, codes);
- }
-}
-
-void quad2cubic(double x0, double y0,
- double x1, double y1,
- double x2, double y2,
- double *outx, double *outy)
-{
-
- outx[0] = x0 + 2./3. * (x1 - x0);
- outy[0] = y0 + 2./3. * (y1 - y0);
- outx[1] = outx[0] + 1./3. * (x2 - x0);
- outy[1] = outy[0] + 1./3. * (y2 - y0);
- outx[2] = x2;
- outy[2] = y2;
-}
-
-char *__append_to_string(char *p, char **buffer, size_t *buffersize,
- const char *content)
-{
- for (const char *i = content; *i; ++i) {
- if (p < *buffer) {
- /* This is just an internal error */
- return NULL;
- }
- if ((size_t)(p - *buffer) >= *buffersize) {
- ptrdiff_t diff = p - *buffer;
- *buffersize *= 2;
- *buffer = (char *)realloc(*buffer, *buffersize);
- if (*buffer == NULL) {
- return NULL;
- }
- p = *buffer + diff;
- }
-
- *p++ = *i;
- }
-
- return p;
-}
-
-
-char *__add_number(double val, const char *format, int precision,
- char **buffer, char *p, size_t *buffersize)
-{
- char *result;
-
-#if PY_VERSION_HEX >= 0x02070000
- char *str;
- str = PyOS_double_to_string(val, format[0], precision, 0, NULL);
-#else
- char str[64];
- PyOS_ascii_formatd(str, 64, format, val);
-#endif
-
- // Delete trailing zeros and decimal point
- char *q = str;
- for (; *q != 0; ++q) {
- // Find the end of the string
- }
-
- --q;
- for (; q >= str && *q == '0'; --q) {
- // Rewind through all the zeros
- }
-
- // If the end is a decimal qoint, delete that too
- if (q >= str && *q == '.') {
- --q;
- }
-
- // Truncate the string
- ++q;
- *q = 0;
-
-#if PY_VERSION_HEX >= 0x02070000
- if ((result = __append_to_string(p, buffer, buffersize, str)) == NULL) {
- PyMem_Free(str);
- return NULL;
- }
- PyMem_Free(str);
-#else
- if ((result = __append_to_string(p, buffer, buffersize, str)) == NULL) {
- return NULL;
- }
-#endif
-
- return result;
-}
-
-
-template <class PathIterator>
-int __convert_to_string(PathIterator &path,
- int precision,
- char **codes,
- bool postfix,
- char **buffer,
- size_t *buffersize)
-{
-#if PY_VERSION_HEX >= 0x02070000
- const char *format = "f";
-#else
- char format[64];
- snprintf(format, 64, "%s.%df", "%", precision);
-#endif
-
- char *p = *buffer;
- double x[3];
- double y[3];
- double last_x = 0.0;
- double last_y = 0.0;
-
- const int sizes[] = { 1, 1, 2, 3 };
- int size = 0;
- unsigned code;
-
- while ((code = path.vertex(&x[0], &y[0])) != agg::path_cmd_stop) {
- if (code == 0x4f) {
- if ((p = __append_to_string(p, buffer, buffersize, codes[4])) == NULL) return 1;
- } else if (code < 5) {
- size = sizes[code - 1];
-
- for (int i = 1; i < size; ++i) {
- unsigned subcode = path.vertex(&x[i], &y[i]);
- if (subcode != code) {
- return 2;
- }
- }
-
- /* For formats that don't support quad curves, convert to
- cubic curves */
- if (code == CURVE3 && codes[code - 1][0] == '\0') {
- quad2cubic(last_x, last_y, x[0], y[0], x[1], y[1], x, y);
- code++;
- size = 3;
- }
-
- if (!postfix) {
- if ((p = __append_to_string(p, buffer, buffersize, codes[code - 1])) == NULL) return 1;
- if ((p = __append_to_string(p, buffer, buffersize, " ")) == NULL) return 1;
- }
-
- for (int i = 0; i < size; ++i) {
- if ((p = __add_number(x[i], format, precision, buffer, p, buffersize)) == NULL) return 1;
- if ((p = __append_to_string(p, buffer, buffersize, " ")) == NULL) return 1;
- if ((p = __add_number(y[i], format, precision, buffer, p, buffersize)) == NULL) return 1;
- if ((p = __append_to_string(p, buffer, buffersize, " ")) == NULL) return 1;
- }
-
- if (postfix) {
- if ((p = __append_to_string(p, buffer, buffersize, codes[code - 1])) == NULL) return 1;
- }
-
- last_x = x[size - 1];
- last_y = y[size - 1];
- } else {
- // Unknown code value
- return 2;
- }
-
- if ((p = __append_to_string(p, buffer, buffersize, "\n")) == NULL) return 1;
- }
-
- *buffersize = p - *buffer;
-
- return 0;
-}
-
-template <class PathIterator>
-int convert_to_string(PathIterator &path,
- agg::trans_affine &trans,
- agg::rect_d &clip_rect,
- bool simplify,
- SketchParams sketch_params,
- int precision,
- char **codes,
- bool postfix,
- char **buffer,
- size_t *buffersize)
-{
- typedef agg::conv_transform<py::PathIterator> transformed_path_t;
- typedef PathNanRemover<transformed_path_t> nan_removal_t;
- typedef PathClipper<nan_removal_t> clipped_t;
- typedef PathSimplifier<clipped_t> simplify_t;
- typedef agg::conv_curve<simplify_t> curve_t;
- typedef Sketch<curve_t> sketch_t;
-
- bool do_clip = (clip_rect.x1 < clip_rect.x2 && clip_rect.y1 < clip_rect.y2);
-
- transformed_path_t tpath(path, trans);
- nan_removal_t nan_removed(tpath, true, path.has_curves());
- clipped_t clipped(nan_removed, do_clip && !path.has_curves(), clip_rect);
- simplify_t simplified(clipped, simplify, path.simplify_threshold());
-
- *buffersize = path.total_vertices() * (precision + 5) * 4;
- if (*buffersize == 0) {
- return 0;
- }
-
- if (sketch_params.scale != 0.0) {
- *buffersize *= 10.0;
- }
-
- *buffer = (char *)malloc(*buffersize);
- if (*buffer == NULL) {
- return 1;
- }
-
- if (sketch_params.scale == 0.0) {
- return __convert_to_string(simplified, precision, codes, postfix, buffer, buffersize);
- } else {
- curve_t curve(simplified);
- sketch_t sketch(curve, sketch_params.scale, sketch_params.length, sketch_params.randomness);
- return __convert_to_string(sketch, precision, codes, postfix, buffer, buffersize);
- }
-
-}
-
-template<class T>
-struct _is_sorted
-{
- bool operator()(PyArrayObject *array)
- {
- npy_intp size;
- npy_intp i;
- T last_value;
- T current_value;
-
- size = PyArray_DIM(array, 0);
-
- // std::isnan is only in C++11, which we don't yet require,
- // so we use the "self == self" trick
- for (i = 0; i < size; ++i) {
- last_value = *((T *)PyArray_GETPTR1(array, i));
- if (last_value == last_value) {
- break;
- }
- }
-
- if (i == size) {
- // The whole array is non-finite
- return false;
- }
-
- for (; i < size; ++i) {
- current_value = *((T *)PyArray_GETPTR1(array, i));
- if (current_value == current_value) {
- if (current_value < last_value) {
- return false;
- }
- last_value = current_value;
- }
- }
-
- return true;
- }
-};
-
-
-template<class T>
-struct _is_sorted_int
-{
- bool operator()(PyArrayObject *array)
- {
- npy_intp size;
- npy_intp i;
- T last_value;
- T current_value;
-
- size = PyArray_DIM(array, 0);
-
- last_value = *((T *)PyArray_GETPTR1(array, 0));
-
- for (i = 1; i < size; ++i) {
- current_value = *((T *)PyArray_GETPTR1(array, i));
- if (current_value < last_value) {
- return false;
- }
- last_value = current_value;
- }
-
- return true;
- }
-};
-
-
-#endif