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matplotlib/src/_path.cpp at ff858b6d391f5fe9ebd6b6fd956de9cd3de49250 · gitj/matplotlib · GitHub
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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_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
(
"
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)
"
);
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
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
>
bool
point_in_path_impl
(
const
double
tx,
const
double
ty, T& path)
{
int
yflag0, yflag1, inside_flag;
double
vtx0, vty0, vtx1, vty1, sx, sy;
double
x, y;
path.
rewind
(
0
);
inside_flag =
0
;
unsigned
code =
0
;
do
{
if
(code != agg::path_cmd_move_to)
{
code = path.
vertex
(&x, &y);
}
sx = vtx0 = x;
sy = vty0 = y;
//
get test bit for above/below X axis
yflag0 = (vty0 >= ty);
vtx1 = x;
vty1 = y;
inside_flag =
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
;
}
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 != 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)
{
inside_flag ^=
1
;
}
}
//
Move to the next pair of vertices, retaining info as
//
possible.
yflag0 = 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);
yflag1 = (vty1 >= ty);
if
(yflag0 != yflag1)
{
if
(((vty1 - ty) * (vtx0 - vtx1) >=
(vtx1 - tx) * (vty0 - vty1)) == yflag1)
{
inside_flag ^=
1
;
}
}
if
(inside_flag !=
0
)
{
return
true
;
}
}
while
(code != agg::path_cmd_stop);
return
(inside_flag !=
0
);
}
inline
bool
point_in_path
(
double
x,
double
y, PathIterator& path,
const
agg::trans_affine& trans)
{
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
(path.
total_vertices
() <
3
)
{
return
false
;
}
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);
return
point_in_path_impl
(x, y, curved_path);
}
inline
bool
point_on_path
(
double
x,
double
y,
double
r, PathIterator& path,
const
agg::trans_affine& trans)
{
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
);
return
point_in_path_impl
(x, y, stroked_path);
}
Py::Object
_path_module::point_in_path
(
const
Py::Tuple& args)
{
args.
verify_length
(
4
);
double
x =
Py::Float
(args[
0
]);
double
y =
Py::Float
(args[
1
]);
PathIterator
path
(args[
2
]);
agg::trans_affine trans =
py_to_agg_transformation_matrix
(args[
3
].
ptr
(),
false
);
if
(::
point_in_path
(x, y, path, trans))
{
return
Py::Int
(
1
);
}
return
Py::Int
(
0
);
}
Py::Object
_path_module::point_on_path
(
const
Py::Tuple& args)
{
args.
verify_length
(
5
);
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
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
());
curve_t
curved_path
(nan_removed);
curved_path.
rewind
(
0
);
while
((code = curved_path.
vertex
(&x, &y)) != agg::path_cmd_stop)
{
if
((code & agg::path_cmd_end_poly) == agg::path_cmd_end_poly)
{
continue
;
}
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;
}
}
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 =
bool
(
Py::Int
(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;
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
(
9
);
//
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::Int
(args[
8
]);
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);
trans *=
agg::trans_affine_translation
(xo, yo);
}
if
(filled)
{
if
(::
point_in_path
(x, y, 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, 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));
}
sx = px;
sy = py;
}
}
void
clip_to_rect
(PathIterator& path,
double
x0,
double
y0,
double
x1,
double
y1,
bool
inside, std::vector<Polygon>& results)
{
double
xmin, ymin, xmax, ymax;
if
(x0 < x1)
{
xmin = x0;
xmax = x1;
}
else
{
xmin = x1;
xmax = x0;
}
if
(y0 < y1)
{
ymin = y0;
ymax = y1;
}
else
{
ymin = y1;
ymax = y0;
}
if
(!inside)
{
std::swap
(xmin, xmax);
std::swap
(ymin, ymax);
}
Polygon polygon1, polygon2;
double
x =
0
, y =
0
;
unsigned
code =
0
;
path.
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 = path.
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
())
{
results.
push_back
(polygon1);
}
}
while
(code != agg::path_cmd_stop);
}
Py::Object
_path_module::clip_path_to_rect
(
const
Py::Tuple &args)
{
args.
verify_length
(
3
);
PathIterator
path
(args[
0
]);
Py::Object bbox_obj = args[
1
];
bool
inside =
Py::Int
(args[
2
]);
double
x0, y0, x1, y1;
if
(!
py_convert_bbox
(bbox_obj.
ptr
(), x0, y0, x1, y1))
{
throw
Py::TypeError
(
"
Argument 2 to clip_to_rect must be a Bbox object.
"
);
}
std::vector<Polygon> results;
::clip_to_rect
(path, x0, y0, x1, y1, inside, results);
npy_intp dims[
2
];
dims[
1
] =
2
;
PyObject* py_results =
PyList_New
(results.
size
());
if
(!py_results)
{
throw
Py::RuntimeError
(
"
Error creating results list
"
);
}
try
{
for
(std::vector<Polygon>::const_iterator p = results.
begin
(); p != results.
end
(); ++p)
{
size_t
size = p->
size
();
dims[
0
] = p->
size
();
PyArrayObject* pyarray = (PyArrayObject*)
PyArray_SimpleNew
(
2
, dims, PyArray_DOUBLE);
if
(pyarray ==
NULL
)
{
throw
Py::MemoryError
(
"
Could not allocate result array
"
);
}
for
(
size_t
i =
0
; i < size; ++i)
{
((
double
*)pyarray->
data
)[
2
*i] = (*p)[i].
x
;
((
double
*)pyarray->
data
)[
2
*i+
1
] = (*p)[i].
y
;
}
if
(
PyList_SetItem
(py_results, p - results.
begin
(), (PyObject *)pyarray) != -
1
)
{
throw
Py::RuntimeError
(
"
Error creating results list
"
);
}
}
}
catch
(...)
{
Py_XDECREF
(py_results);
throw
;
}
return
Py::Object
(py_results,
true
);
}
Py::Object
_path_module::affine_transform
(
const
Py::Tuple& args)
{
args.
verify_length
(
2
);
Py::Object vertices_obj = args[
0
];
Py::Object transform_obj = args[
1
];
PyArrayObject* vertices =
NULL
;
PyArrayObject* transform =
NULL
;
View remainder of file in raw view
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