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_path.cpp
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/* -*- mode: c++; c-basic-offset: 4 -*- */
#include "agg_py_path_iterator.h"
#include "agg_py_transforms.h"
#include "path_converters.h"
#include <limits>
#include <math.h>
#include "CXX/Extensions.hxx"
#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"
struct XY
{
double x;
double y;
XY(double x_, double y_) : x(x_), y(y_) {}
};
// the extension module
class _path_module : public Py::ExtensionModule<_path_module>
{
public:
_path_module()
: Py::ExtensionModule<_path_module>("_path")
{
add_varargs_method("point_in_path", &_path_module::point_in_path,
"point_in_path(x, y, path, trans)");
add_varargs_method("points_in_path", &_path_module::points_in_path,
"points_in_path(points, path, trans)");
add_varargs_method("point_on_path", &_path_module::point_on_path,
"point_on_path(x, y, r, path, trans)");
add_varargs_method("get_path_extents", &_path_module::get_path_extents,
"get_path_extents(path, trans)");
add_varargs_method("update_path_extents", &_path_module::update_path_extents,
"update_path_extents(path, trans, bbox, minpos)");
add_varargs_method("get_path_collection_extents", &_path_module::get_path_collection_extents,
"get_path_collection_extents(trans, paths, transforms, offsets, offsetTrans)");
add_varargs_method("point_in_path_collection", &_path_module::point_in_path_collection,
"point_in_path_collection(x, y, r, trans, paths, transforms, offsets, offsetTrans, filled)");
add_varargs_method("path_in_path", &_path_module::path_in_path,
"path_in_path(a, atrans, b, btrans)");
add_varargs_method("clip_path_to_rect", &_path_module::clip_path_to_rect,
"clip_path_to_rect(path, bbox, inside)");
add_varargs_method("affine_transform", &_path_module::affine_transform,
"affine_transform(vertices, transform)");
add_varargs_method("count_bboxes_overlapping_bbox", &_path_module::count_bboxes_overlapping_bbox,
"count_bboxes_overlapping_bbox(bbox, bboxes)");
add_varargs_method("path_intersects_path", &_path_module::path_intersects_path,
"path_intersects_path(p1, p2)");
add_varargs_method("convert_path_to_polygons", &_path_module::convert_path_to_polygons,
"convert_path_to_polygons(path, trans, width, height)");
add_varargs_method("cleanup_path", &_path_module::cleanup_path,
"cleanup_path(path, trans, remove_nans, clip, snap, simplify, curves, sketch_params)");
add_varargs_method("convert_to_svg", &_path_module::convert_to_svg,
"convert_to_svg(path, trans, clip, simplify, precision)");
initialize("Helper functions for paths");
}
virtual ~_path_module() {}
private:
Py::Object point_in_path(const Py::Tuple& args);
Py::Object points_in_path(const Py::Tuple& args);
Py::Object point_on_path(const Py::Tuple& args);
Py::Object get_path_extents(const Py::Tuple& args);
Py::Object update_path_extents(const Py::Tuple& args);
Py::Object get_path_collection_extents(const Py::Tuple& args);
Py::Object point_in_path_collection(const Py::Tuple& args);
Py::Object path_in_path(const Py::Tuple& args);
Py::Object clip_path_to_rect(const Py::Tuple& args);
Py::Object affine_transform(const Py::Tuple& args);
Py::Object count_bboxes_overlapping_bbox(const Py::Tuple& args);
Py::Object path_intersects_path(const Py::Tuple& args);
Py::Object convert_path_to_polygons(const Py::Tuple& args);
Py::Object cleanup_path(const Py::Tuple& args);
Py::Object convert_to_svg(const Py::Tuple& args);
};
//
// 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 T>
static void
point_in_path_impl(const void* const points_, const size_t s0,
const size_t s1, const size_t n, T& path,
npy_bool* const inside_flag)
{
int *yflag0;
int *subpath_flag;
int yflag1;
double vtx0, vty0, vtx1, vty1;
double tx, ty;
double sx, sy;
double x, y;
size_t i;
int all_done;
const char *const points = (const char * const)points_;
yflag0 = (int *)malloc(n * sizeof(int));
subpath_flag = (int *)malloc(n * sizeof(int));
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 = *(double *)(points + s0 * i + s1);
// 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 = *(double *)(points + s0 * i);
ty = *(double *)(points + s0 * i + s1);
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 = 1;
for (i = 0; i < n; ++i) {
tx = *(double *)(points + s0 * i);
ty = *(double *)(points + s0 * i + s1);
yflag1 = (vty1 >= ty);
if (yflag0[i] != yflag1) {
if (((vty1 - ty) * (vtx0 - vtx1) >=
(vtx1 - tx) * (vty0 - vty1)) == yflag1) {
subpath_flag[i] ^= 1;
}
}
inside_flag[i] |= subpath_flag[i];
if (inside_flag[i] == 0) {
all_done = 0;
}
}
if (all_done) {
goto exit;
}
}
while (code != agg::path_cmd_stop);
exit:
free(yflag0);
free(subpath_flag);
}
inline void
points_in_path(const void* const points, const size_t s0,
const size_t s1, const size_t n,
const double r, PathIterator& path,
const agg::trans_affine& trans,
npy_bool* 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 < n; ++i) {
result[i] = 0;
}
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);
contour_t contoured_path(curved_path);
contoured_path.width(fabs(r));
point_in_path_impl(points, s0, s1, n, contoured_path, result);
}
inline bool
point_in_path(const double x, const double y, const double r,
PathIterator& path, const agg::trans_affine& trans)
{
double points[2];
npy_bool result;
points[0] = x;
points[1] = y;
points_in_path(points, 0, sizeof(double), 1, r, path, trans, &result);
return result;
}
inline void
points_on_path(const void* const points, const size_t s0,
const size_t s1, const size_t n,
const double r, PathIterator& path,
const agg::trans_affine& trans,
npy_bool* 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;
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, s0, s1, n, stroked_path, result);
}
inline bool
point_on_path(const double x, const double y, const double r,
PathIterator& path, const agg::trans_affine& trans)
{
double points[2];
npy_bool result;
points[0] = x;
points[1] = y;
points_on_path(points, 0, sizeof(double), 1, r, path, trans, &result);
return result;
}
Py::Object
_path_module::point_in_path(const Py::Tuple& args)
{
double x = Py::Float(args[0]);
double y = Py::Float(args[1]);
double r = Py::Float(args[2]);
PathIterator path(args[3]);
agg::trans_affine trans = py_to_agg_transformation_matrix(args[4].ptr(), false);
if (::point_in_path(x, y, r, path, trans)) {
return Py::Int(1);
}
return Py::Int(0);
}
Py::Object
_path_module::points_in_path(const Py::Tuple& args)
{
args.verify_length(4);
npy_intp n;
PyArrayObject* points_array;
points_array = (PyArrayObject*)PyArray_FromObject(args[0].ptr(), PyArray_DOUBLE, 2, 2);
if (points_array == NULL || PyArray_DIM(points_array, 1) != 2) {
throw Py::TypeError(
"Argument 0 to points_in_path must be an Nx2 numpy array");
}
double r = Py::Float(args[1]);
PathIterator path(args[2]);
agg::trans_affine trans = py_to_agg_transformation_matrix(args[3].ptr(), false);
n = PyArray_DIM(points_array, 0);
PyObject* result = PyArray_ZEROS(1, &n, PyArray_BOOL, 0);
if (result == NULL) {
throw Py::MemoryError("Could not allocate memory for result");
}
::points_in_path(PyArray_DATA(points_array),
PyArray_STRIDE(points_array, 0),
PyArray_STRIDE(points_array, 1),
n, r, path, trans,
(npy_bool *)PyArray_DATA(result));
Py_DECREF(points_array);
return Py::Object(result, true);;
}
Py::Object
_path_module::point_on_path(const Py::Tuple& args)
{
double x = Py::Float(args[0]);
double y = Py::Float(args[1]);
double r = Py::Float(args[2]);
PathIterator path(args[3]);
agg::trans_affine trans = py_to_agg_transformation_matrix(args[4].ptr());
if (::point_on_path(x, y, r, path, trans))
{
return Py::Int(1);
}
return Py::Int(0);
}
void
update_limits(double x, double y,
double* x0, double* y0, double* x1, double* y1,
double* xm, double* ym)
{
if (x < *x0) *x0 = x;
if (y < *y0) *y0 = y;
if (x > *x1) *x1 = x;
if (y > *y1) *y1 = y;
/* xm and ym are the minimum positive values in the data, used
by log scaling */
if (x > 0.0 && x < *xm) *xm = x;
if (y > 0.0 && y < *ym) *ym = y;
}
void
get_path_extents(PathIterator& path, const agg::trans_affine& trans,
double* x0, double* y0, double* x1, double* y1,
double* xm, double* ym)
{
typedef agg::conv_transform<PathIterator> transformed_path_t;
typedef PathNanRemover<transformed_path_t> nan_removed_t;
typedef agg::conv_curve<nan_removed_t> curve_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, x0, y0, x1, y1, xm, ym);
}
}
Py::Object
_path_module::get_path_extents(const Py::Tuple& args)
{
args.verify_length(2);
PathIterator path(args[0]);
agg::trans_affine trans = py_to_agg_transformation_matrix(args[1].ptr(), false);
npy_intp extent_dims[] = { 2, 2, 0 };
double* extents_data = NULL;
double xm, ym;
PyArrayObject* extents = NULL;
try
{
extents = (PyArrayObject*)PyArray_SimpleNew
(2, extent_dims, PyArray_DOUBLE);
if (extents == NULL)
{
throw Py::MemoryError("Could not allocate result array");
}
extents_data = (double*)PyArray_DATA(extents);
extents_data[0] = std::numeric_limits<double>::infinity();
extents_data[1] = std::numeric_limits<double>::infinity();
extents_data[2] = -std::numeric_limits<double>::infinity();
extents_data[3] = -std::numeric_limits<double>::infinity();
/* xm and ym are the minimum positive values in the data, used
by log scaling */
xm = std::numeric_limits<double>::infinity();
ym = std::numeric_limits<double>::infinity();
::get_path_extents(path, trans, &extents_data[0], &extents_data[1],
&extents_data[2], &extents_data[3], &xm, &ym);
}
catch (...)
{
Py_XDECREF(extents);
throw;
}
return Py::Object((PyObject*)extents, true);
}
Py::Object
_path_module::update_path_extents(const Py::Tuple& args)
{
args.verify_length(5);
double x0, y0, x1, y1;
PathIterator path(args[0]);
agg::trans_affine trans = py_to_agg_transformation_matrix(
args[1].ptr(), false);
if (!py_convert_bbox(args[2].ptr(), x0, y0, x1, y1))
{
throw Py::ValueError(
"Must pass Bbox object as arg 3 of update_path_extents");
}
Py::Object minpos_obj = args[3];
bool ignore = Py::Boolean(args[4]);
double xm, ym;
PyArrayObject* input_minpos = NULL;
try
{
input_minpos = (PyArrayObject*)PyArray_FromObject(
minpos_obj.ptr(), PyArray_DOUBLE, 1, 1);
if (!input_minpos || PyArray_DIM(input_minpos, 0) != 2)
{
throw Py::TypeError(
"Argument 4 to update_path_extents must be a length-2 numpy array.");
}
xm = *(double*)PyArray_GETPTR1(input_minpos, 0);
ym = *(double*)PyArray_GETPTR1(input_minpos, 1);
}
catch (...)
{
Py_XDECREF(input_minpos);
throw;
}
Py_XDECREF(input_minpos);
npy_intp extent_dims[] = { 2, 2, 0 };
double* extents_data = NULL;
npy_intp minpos_dims[] = { 2, 0 };
double* minpos_data = NULL;
PyArrayObject* extents = NULL;
PyArrayObject* minpos = NULL;
bool changed = false;
try
{
extents = (PyArrayObject*)PyArray_SimpleNew
(2, extent_dims, PyArray_DOUBLE);
if (extents == NULL)
{
throw Py::MemoryError("Could not allocate result array");
}
minpos = (PyArrayObject*)PyArray_SimpleNew
(1, minpos_dims, PyArray_DOUBLE);
if (minpos == NULL)
{
throw Py::MemoryError("Could not allocate result array");
}
extents_data = (double*)PyArray_DATA(extents);
minpos_data = (double*)PyArray_DATA(minpos);
if (ignore)
{
extents_data[0] = std::numeric_limits<double>::infinity();
extents_data[1] = std::numeric_limits<double>::infinity();
extents_data[2] = -std::numeric_limits<double>::infinity();
extents_data[3] = -std::numeric_limits<double>::infinity();
minpos_data[0] = std::numeric_limits<double>::infinity();
minpos_data[1] = std::numeric_limits<double>::infinity();
}
else
{
if (x0 > x1)
{
extents_data[0] = std::numeric_limits<double>::infinity();
extents_data[2] = -std::numeric_limits<double>::infinity();
}
else
{
extents_data[0] = x0;
extents_data[2] = x1;
}
if (y0 > y1)
{
extents_data[1] = std::numeric_limits<double>::infinity();
extents_data[3] = -std::numeric_limits<double>::infinity();
}
else
{
extents_data[1] = y0;
extents_data[3] = y1;
}
minpos_data[0] = xm;
minpos_data[1] = ym;
}
::get_path_extents(path, trans, &extents_data[0], &extents_data[1],
&extents_data[2], &extents_data[3], &minpos_data[0],
&minpos_data[1]);
changed = (extents_data[0] != x0 ||
extents_data[1] != y0 ||
extents_data[2] != x1 ||
extents_data[3] != y1 ||
minpos_data[0] != xm ||
minpos_data[1] != ym);
}
catch (...)
{
Py_XDECREF(extents);
Py_XDECREF(minpos);
throw;
}
Py::Tuple result(3);
result[0] = Py::Object((PyObject*) extents);
result[1] = Py::Object((PyObject*) minpos);
result[2] = Py::Int(changed ? 1 : 0);
Py_XDECREF(extents);
Py_XDECREF(minpos);
return result;
}
Py::Object
_path_module::get_path_collection_extents(const Py::Tuple& args)
{
args.verify_length(5);
//segments, trans, clipbox, colors, linewidths, antialiaseds
agg::trans_affine master_transform = py_to_agg_transformation_matrix(args[0].ptr());
Py::SeqBase<Py::Object> paths = args[1];
Py::SeqBase<Py::Object> transforms_obj = args[2];
Py::Object offsets_obj = args[3];
agg::trans_affine offset_trans = py_to_agg_transformation_matrix(args[4].ptr(), false);
PyArrayObject* offsets = NULL;
double x0, y0, x1, y1, xm, ym;
try
{
offsets = (PyArrayObject*)PyArray_FromObject(
offsets_obj.ptr(), PyArray_DOUBLE, 0, 2);
if (!offsets ||
(PyArray_NDIM(offsets) == 2 && PyArray_DIM(offsets, 1) != 2) ||
(PyArray_NDIM(offsets) == 1 && PyArray_DIM(offsets, 0) != 0))
{
throw Py::ValueError("Offsets array must be Nx2");
}
size_t Npaths = paths.length();
size_t Noffsets = offsets->dimensions[0];
size_t N = std::max(Npaths, Noffsets);
size_t Ntransforms = std::min(transforms_obj.length(), N);
size_t i;
// Convert all of the transforms up front
typedef std::vector<agg::trans_affine> transforms_t;
transforms_t transforms;
transforms.reserve(Ntransforms);
for (i = 0; i < Ntransforms; ++i)
{
agg::trans_affine trans = py_to_agg_transformation_matrix
(transforms_obj[i].ptr(), false);
trans *= master_transform;
transforms.push_back(trans);
}
// The offset each of those and collect the mins/maxs
x0 = std::numeric_limits<double>::infinity();
y0 = std::numeric_limits<double>::infinity();
x1 = -std::numeric_limits<double>::infinity();
y1 = -std::numeric_limits<double>::infinity();
xm = std::numeric_limits<double>::infinity();
ym = std::numeric_limits<double>::infinity();
agg::trans_affine trans;
if (transforms.size() <= 1 && paths.size() == 1)
{
PathIterator path(paths[0]);
if (Ntransforms)
{
trans = transforms[0];
}
else
{
trans = master_transform;
}
double bx0 = std::numeric_limits<double>::infinity();
double by0 = std::numeric_limits<double>::infinity();
double bx1 = -std::numeric_limits<double>::infinity();
double by1 = -std::numeric_limits<double>::infinity();
double bxm = std::numeric_limits<double>::infinity();
double bym = std::numeric_limits<double>::infinity();
::get_path_extents(path, trans, &bx0, &by0, &bx1, &by1, &bxm, &bym);
for (i = 0; i < Noffsets; ++i)
{
double xo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 0);
double yo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 1);
offset_trans.transform(&xo, &yo);
update_limits(xo + bx0, yo + by0, &x0, &y0, &x1, &y1, &xm, &ym);
update_limits(xo + bx1, yo + by1, &x0, &y0, &x1, &y1, &xm, &ym);
}
} else {
for (i = 0; i < N; ++i)
{
PathIterator path(paths[i % Npaths]);
if (Ntransforms)
{
trans = transforms[i % Ntransforms];
}
else
{
trans = master_transform;
}
if (Noffsets)
{
double xo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 0);
double yo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 1);
offset_trans.transform(&xo, &yo);
trans *= agg::trans_affine_translation(xo, yo);
}
::get_path_extents(path, trans, &x0, &y0, &x1, &y1, &xm, &ym);
}
}
}
catch (...)
{
Py_XDECREF(offsets);
throw;
}
Py_XDECREF(offsets);
Py::Tuple result(4);
result[0] = Py::Float(x0);
result[1] = Py::Float(y0);
result[2] = Py::Float(x1);
result[3] = Py::Float(y1);
return result;
}
Py::Object
_path_module::point_in_path_collection(const Py::Tuple& args)
{
args.verify_length(10);
//segments, trans, clipbox, colors, linewidths, antialiaseds
double x = Py::Float(args[0]);
double y = Py::Float(args[1]);
double radius = Py::Float(args[2]);
agg::trans_affine master_transform = py_to_agg_transformation_matrix(args[3].ptr());
Py::SeqBase<Py::Object> paths = args[4];
Py::SeqBase<Py::Object> transforms_obj = args[5];
Py::SeqBase<Py::Object> offsets_obj = args[6];
agg::trans_affine offset_trans = py_to_agg_transformation_matrix(args[7].ptr());
bool filled = Py::Boolean(args[8]);
std::string offset_position = Py::String(args[9]).encode("utf-8");
bool data_offsets = (offset_position == "data");
PyArrayObject* offsets = (PyArrayObject*)PyArray_FromObject(
offsets_obj.ptr(), PyArray_DOUBLE, 0, 2);
if (!offsets ||
(PyArray_NDIM(offsets) == 2 && PyArray_DIM(offsets, 1) != 2) ||
(PyArray_NDIM(offsets) == 1 && PyArray_DIM(offsets, 0) != 0))
{
Py_XDECREF(offsets);
throw Py::ValueError("Offsets array must be Nx2");
}
size_t Npaths = paths.length();
size_t Noffsets = offsets->dimensions[0];
size_t N = std::max(Npaths, Noffsets);
size_t Ntransforms = std::min(transforms_obj.length(), N);
size_t i;
// Convert all of the transforms up front
typedef std::vector<agg::trans_affine> transforms_t;
transforms_t transforms;
transforms.reserve(Ntransforms);
for (i = 0; i < Ntransforms; ++i)
{
agg::trans_affine trans = py_to_agg_transformation_matrix
(transforms_obj[i].ptr(), false);
trans *= master_transform;
transforms.push_back(trans);
}
Py::List result;
agg::trans_affine trans;
for (i = 0; i < N; ++i)
{
PathIterator path(paths[i % Npaths]);
if (Ntransforms)
{
trans = transforms[i % Ntransforms];
}
else
{
trans = master_transform;
}
if (Noffsets)
{
double xo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 0);
double yo = *(double*)PyArray_GETPTR2(offsets, i % Noffsets, 1);
offset_trans.transform(&xo, &yo);
if (data_offsets) {
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.append(Py::Int((int)i));
}
else
{
if (::point_on_path(x, y, radius, path, trans))
result.append(Py::Int((int)i));
}
}
return result;
}
bool
path_in_path(PathIterator& a, const agg::trans_affine& atrans,
PathIterator& b, const agg::trans_affine& btrans)
{
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;
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;
}
Py::Object
_path_module::path_in_path(const Py::Tuple& args)
{
args.verify_length(4);
PathIterator a(args[0]);
agg::trans_affine atrans = py_to_agg_transformation_matrix(
args[1].ptr(), false);
PathIterator b(args[2]);
agg::trans_affine btrans = py_to_agg_transformation_matrix(
args[3].ptr(), false);
return Py::Int(::path_in_path(a, atrans, b, btrans));
}
/** 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
*/
typedef std::vector<XY> Polygon;
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));
}