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| author | shumkovnd <shumkovnd@yandex-team.com> | 2023-11-10 14:39:34 +0300 |
|---|---|---|
| committer | shumkovnd <shumkovnd@yandex-team.com> | 2023-11-10 16:42:24 +0300 |
| commit | 77eb2d3fdcec5c978c64e025ced2764c57c00285 (patch) | |
| tree | c51edb0748ca8d4a08d7c7323312c27ba1a8b79a /contrib/python/matplotlib/py2/src/_contour.cpp | |
| parent | dd6d20cadb65582270ac23f4b3b14ae189704b9d (diff) | |
| download | ydb-77eb2d3fdcec5c978c64e025ced2764c57c00285.tar.gz | |
KIKIMR-19287: add task_stats_drawing script
Diffstat (limited to 'contrib/python/matplotlib/py2/src/_contour.cpp')
| -rw-r--r-- | contrib/python/matplotlib/py2/src/_contour.cpp | 1790 |
1 files changed, 1790 insertions, 0 deletions
diff --git a/contrib/python/matplotlib/py2/src/_contour.cpp b/contrib/python/matplotlib/py2/src/_contour.cpp new file mode 100644 index 0000000000..aecb442c7e --- /dev/null +++ b/contrib/python/matplotlib/py2/src/_contour.cpp @@ -0,0 +1,1790 @@ +// This file contains liberal use of asserts to assist code development and +// debugging. Standard matplotlib builds disable asserts so they cause no +// performance reduction. To enable the asserts, you need to undefine the +// NDEBUG macro, which is achieved by adding the following +// undef_macros=['NDEBUG'] +// to the appropriate make_extension call in setupext.py, and then rebuilding. +#define NO_IMPORT_ARRAY + +#include "src/mplutils.h" +#include "src/_contour.h" +#include <algorithm> + + +// 'kind' codes. +#define MOVETO 1 +#define LINETO 2 +#define CLOSEPOLY 79 + +// Point indices from current quad index. +#define POINT_SW (quad) +#define POINT_SE (quad+1) +#define POINT_NW (quad+_nx) +#define POINT_NE (quad+_nx+1) + +// CacheItem masks, only accessed directly to set. To read, use accessors +// detailed below. 1 and 2 refer to level indices (lower and upper). +#define MASK_Z_LEVEL 0x0003 // Combines the following two. +#define MASK_Z_LEVEL_1 0x0001 // z > lower_level. +#define MASK_Z_LEVEL_2 0x0002 // z > upper_level. +#define MASK_VISITED_1 0x0004 // Algorithm has visited this quad. +#define MASK_VISITED_2 0x0008 +#define MASK_SADDLE_1 0x0010 // quad is a saddle quad. +#define MASK_SADDLE_2 0x0020 +#define MASK_SADDLE_LEFT_1 0x0040 // Contours turn left at saddle quad. +#define MASK_SADDLE_LEFT_2 0x0080 +#define MASK_SADDLE_START_SW_1 0x0100 // Next visit starts on S or W edge. +#define MASK_SADDLE_START_SW_2 0x0200 +#define MASK_BOUNDARY_S 0x0400 // S edge of quad is a boundary. +#define MASK_BOUNDARY_W 0x0800 // W edge of quad is a boundary. +// EXISTS_QUAD bit is always used, but the 4 EXISTS_CORNER are only used if +// _corner_mask is true. Only one of EXISTS_QUAD or EXISTS_??_CORNER is ever +// set per quad, hence not using unique bits for each; care is needed when +// testing for these flags as they overlap. +#define MASK_EXISTS_QUAD 0x1000 // All of quad exists (is not masked). +#define MASK_EXISTS_SW_CORNER 0x2000 // SW corner exists, NE corner is masked. +#define MASK_EXISTS_SE_CORNER 0x3000 +#define MASK_EXISTS_NW_CORNER 0x4000 +#define MASK_EXISTS_NE_CORNER 0x5000 +#define MASK_EXISTS 0x7000 // Combines all 5 EXISTS masks. + +// The following are only needed for filled contours. +#define MASK_VISITED_S 0x10000 // Algorithm has visited S boundary. +#define MASK_VISITED_W 0x20000 // Algorithm has visited W boundary. +#define MASK_VISITED_CORNER 0x40000 // Algorithm has visited corner edge. + + +// Accessors for various CacheItem masks. li is shorthand for level_index. +#define Z_LEVEL(quad) (_cache[quad] & MASK_Z_LEVEL) +#define Z_NE Z_LEVEL(POINT_NE) +#define Z_NW Z_LEVEL(POINT_NW) +#define Z_SE Z_LEVEL(POINT_SE) +#define Z_SW Z_LEVEL(POINT_SW) +#define VISITED(quad,li) (_cache[quad] & (li==1 ? MASK_VISITED_1 : MASK_VISITED_2)) +#define VISITED_S(quad) (_cache[quad] & MASK_VISITED_S) +#define VISITED_W(quad) (_cache[quad] & MASK_VISITED_W) +#define VISITED_CORNER(quad) (_cache[quad] & MASK_VISITED_CORNER) +#define SADDLE(quad,li) (_cache[quad] & (li==1 ? MASK_SADDLE_1 : MASK_SADDLE_2)) +#define SADDLE_LEFT(quad,li) (_cache[quad] & (li==1 ? MASK_SADDLE_LEFT_1 : MASK_SADDLE_LEFT_2)) +#define SADDLE_START_SW(quad,li) (_cache[quad] & (li==1 ? MASK_SADDLE_START_SW_1 : MASK_SADDLE_START_SW_2)) +#define BOUNDARY_S(quad) (_cache[quad] & MASK_BOUNDARY_S) +#define BOUNDARY_W(quad) (_cache[quad] & MASK_BOUNDARY_W) +#define BOUNDARY_N(quad) BOUNDARY_S(quad+_nx) +#define BOUNDARY_E(quad) BOUNDARY_W(quad+1) +#define EXISTS_QUAD(quad) ((_cache[quad] & MASK_EXISTS) == MASK_EXISTS_QUAD) +#define EXISTS_NONE(quad) ((_cache[quad] & MASK_EXISTS) == 0) +// The following are only used if _corner_mask is true. +#define EXISTS_SW_CORNER(quad) ((_cache[quad] & MASK_EXISTS) == MASK_EXISTS_SW_CORNER) +#define EXISTS_SE_CORNER(quad) ((_cache[quad] & MASK_EXISTS) == MASK_EXISTS_SE_CORNER) +#define EXISTS_NW_CORNER(quad) ((_cache[quad] & MASK_EXISTS) == MASK_EXISTS_NW_CORNER) +#define EXISTS_NE_CORNER(quad) ((_cache[quad] & MASK_EXISTS) == MASK_EXISTS_NE_CORNER) +#define EXISTS_ANY_CORNER(quad) (!EXISTS_NONE(quad) && !EXISTS_QUAD(quad)) +#define EXISTS_W_EDGE(quad) (EXISTS_QUAD(quad) || EXISTS_SW_CORNER(quad) || EXISTS_NW_CORNER(quad)) +#define EXISTS_E_EDGE(quad) (EXISTS_QUAD(quad) || EXISTS_SE_CORNER(quad) || EXISTS_NE_CORNER(quad)) +#define EXISTS_S_EDGE(quad) (EXISTS_QUAD(quad) || EXISTS_SW_CORNER(quad) || EXISTS_SE_CORNER(quad)) +#define EXISTS_N_EDGE(quad) (EXISTS_QUAD(quad) || EXISTS_NW_CORNER(quad) || EXISTS_NE_CORNER(quad)) +// Note that EXISTS_NE_CORNER(quad) is equivalent to BOUNDARY_SW(quad), etc. + + + +QuadEdge::QuadEdge() + : quad(-1), edge(Edge_None) +{} + +QuadEdge::QuadEdge(long quad_, Edge edge_) + : quad(quad_), edge(edge_) +{} + +bool QuadEdge::operator<(const QuadEdge& other) const +{ + if (quad != other.quad) + return quad < other.quad; + else + return edge < other.edge; +} + +bool QuadEdge::operator==(const QuadEdge& other) const +{ + return quad == other.quad && edge == other.edge; +} + +bool QuadEdge::operator!=(const QuadEdge& other) const +{ + return !operator==(other); +} + +std::ostream& operator<<(std::ostream& os, const QuadEdge& quad_edge) +{ + return os << quad_edge.quad << ' ' << quad_edge.edge; +} + + +// conflict with code from matplotlib/tri/_tri.cpp +#if 0 +XY::XY() +{} + +XY::XY(const double& x_, const double& y_) + : x(x_), y(y_) +{} + +bool XY::operator==(const XY& other) const +{ + return x == other.x && y == other.y; +} + +bool XY::operator!=(const XY& other) const +{ + return x != other.x || y != other.y; +} + +XY XY::operator*(const double& multiplier) const +{ + return XY(x*multiplier, y*multiplier); +} + +const XY& XY::operator+=(const XY& other) +{ + x += other.x; + y += other.y; + return *this; +} + +const XY& XY::operator-=(const XY& other) +{ + x -= other.x; + y -= other.y; + return *this; +} + +XY XY::operator+(const XY& other) const +{ + return XY(x + other.x, y + other.y); +} + +XY XY::operator-(const XY& other) const +{ + return XY(x - other.x, y - other.y); +} + +std::ostream& operator<<(std::ostream& os, const XY& xy) +{ + return os << '(' << xy.x << ' ' << xy.y << ')'; +} +#endif + + +ContourLine::ContourLine(bool is_hole) + : std::vector<XY>(), + _is_hole(is_hole), + _parent(0) +{} + +void ContourLine::add_child(ContourLine* child) +{ + assert(!_is_hole && "Cannot add_child to a hole"); + assert(child != 0 && "Null child ContourLine"); + _children.push_back(child); +} + +void ContourLine::clear_parent() +{ + assert(is_hole() && "Cannot clear parent of non-hole"); + assert(_parent != 0 && "Null parent ContourLine"); + _parent = 0; +} + +const ContourLine::Children& ContourLine::get_children() const +{ + assert(!_is_hole && "Cannot get_children of a hole"); + return _children; +} + +const ContourLine* ContourLine::get_parent() const +{ + assert(_is_hole && "Cannot get_parent of a non-hole"); + return _parent; +} + +ContourLine* ContourLine::get_parent() +{ + assert(_is_hole && "Cannot get_parent of a non-hole"); + return _parent; +} + +bool ContourLine::is_hole() const +{ + return _is_hole; +} + +// conflict with code from matplotlib/tri/_tri.cpp +#if 0 +void ContourLine::push_back(const XY& point) +{ + if (empty() || point != back()) + std::vector<XY>::push_back(point); +} +#endif + +void ContourLine::set_parent(ContourLine* parent) +{ + assert(_is_hole && "Cannot set parent of a non-hole"); + assert(parent != 0 && "Null parent ContourLine"); + _parent = parent; +} + +// conflict with code from matplotlib/tri/_tri.cpp +#if 0 +void ContourLine::write() const +{ + std::cout << "ContourLine " << this << " of " << size() << " points:"; + for (const_iterator it = begin(); it != end(); ++it) + std::cout << ' ' << *it; + if (is_hole()) + std::cout << " hole, parent=" << get_parent(); + else { + std::cout << " not hole"; + if (!_children.empty()) { + std::cout << ", children="; + for (Children::const_iterator it = _children.begin(); + it != _children.end(); ++it) + std::cout << *it << ' '; + } + } + std::cout << std::endl; +} +#endif + + +Contour::Contour() +{} + +Contour::~Contour() +{ + delete_contour_lines(); +} + +void Contour::delete_contour_lines() +{ + for (iterator line_it = begin(); line_it != end(); ++line_it) { + delete *line_it; + *line_it = 0; + } + std::vector<ContourLine*>::clear(); +} + +void Contour::write() const +{ + std::cout << "Contour of " << size() << " lines." << std::endl; + for (const_iterator it = begin(); it != end(); ++it) + (*it)->write(); +} + + + +ParentCache::ParentCache(long nx, long x_chunk_points, long y_chunk_points) + : _nx(nx), + _x_chunk_points(x_chunk_points), + _y_chunk_points(y_chunk_points), + _lines(0), // Initialised when first needed. + _istart(0), + _jstart(0) +{ + assert(_x_chunk_points > 0 && _y_chunk_points > 0 && + "Chunk sizes must be positive"); +} + +ContourLine* ParentCache::get_parent(long quad) +{ + long index = quad_to_index(quad); + ContourLine* parent = _lines[index]; + while (parent == 0) { + index -= _x_chunk_points; + assert(index >= 0 && "Failed to find parent in chunk ParentCache"); + parent = _lines[index]; + } + assert(parent != 0 && "Failed to find parent in chunk ParentCache"); + return parent; +} + +long ParentCache::quad_to_index(long quad) const +{ + long i = quad % _nx; + long j = quad / _nx; + long index = (i-_istart) + (j-_jstart)*_x_chunk_points; + + assert(i >= _istart && i < _istart + _x_chunk_points && + "i-index outside chunk"); + assert(j >= _jstart && j < _jstart + _y_chunk_points && + "j-index outside chunk"); + assert(index >= 0 && index < static_cast<long>(_lines.size()) && + "ParentCache index outside chunk"); + + return index; +} + +void ParentCache::set_chunk_starts(long istart, long jstart) +{ + assert(istart >= 0 && jstart >= 0 && + "Chunk start indices cannot be negative"); + _istart = istart; + _jstart = jstart; + if (_lines.empty()) + _lines.resize(_x_chunk_points*_y_chunk_points, 0); + else + std::fill(_lines.begin(), _lines.end(), (ContourLine*)0); +} + +void ParentCache::set_parent(long quad, ContourLine& contour_line) +{ + assert(!_lines.empty() && + "Accessing ParentCache before it has been initialised"); + long index = quad_to_index(quad); + if (_lines[index] == 0) + _lines[index] = (contour_line.is_hole() ? contour_line.get_parent() + : &contour_line); +} + + + +QuadContourGenerator::QuadContourGenerator(const CoordinateArray& x, + const CoordinateArray& y, + const CoordinateArray& z, + const MaskArray& mask, + bool corner_mask, + long chunk_size) + : _x(x), + _y(y), + _z(z), + _nx(static_cast<long>(_x.dim(1))), + _ny(static_cast<long>(_x.dim(0))), + _n(_nx*_ny), + _corner_mask(corner_mask), + _chunk_size(chunk_size > 0 ? std::min(chunk_size, std::max(_nx, _ny)-1) + : std::max(_nx, _ny)-1), + _nxchunk(calc_chunk_count(_nx)), + _nychunk(calc_chunk_count(_ny)), + _chunk_count(_nxchunk*_nychunk), + _cache(new CacheItem[_n]), + _parent_cache(_nx, + chunk_size > 0 ? chunk_size+1 : _nx, + chunk_size > 0 ? chunk_size+1 : _ny) +{ + assert(!_x.empty() && !_y.empty() && !_z.empty() && "Empty array"); + assert(_y.dim(0) == _x.dim(0) && _y.dim(1) == _x.dim(1) && + "Different-sized y and x arrays"); + assert(_z.dim(0) == _x.dim(0) && _z.dim(1) == _x.dim(1) && + "Different-sized z and x arrays"); + assert((mask.empty() || + (mask.dim(0) == _x.dim(0) && mask.dim(1) == _x.dim(1))) && + "Different-sized mask and x arrays"); + + init_cache_grid(mask); +} + +QuadContourGenerator::~QuadContourGenerator() +{ + delete [] _cache; +} + +void QuadContourGenerator::append_contour_line_to_vertices( + ContourLine& contour_line, + PyObject* vertices_list) const +{ + assert(vertices_list != 0 && "Null python vertices_list"); + + // Convert ContourLine to python equivalent, and clear it. + npy_intp dims[2] = {static_cast<npy_intp>(contour_line.size()), 2}; + numpy::array_view<double, 2> line(dims); + npy_intp i = 0; + for (ContourLine::const_iterator point = contour_line.begin(); + point != contour_line.end(); ++point, ++i) { + line(i, 0) = point->x; + line(i, 1) = point->y; + } + if (PyList_Append(vertices_list, line.pyobj_steal())) { + Py_XDECREF(vertices_list); + throw std::runtime_error("Unable to add contour line to vertices_list"); + } + + contour_line.clear(); +} + +void QuadContourGenerator::append_contour_to_vertices_and_codes( + Contour& contour, + PyObject* vertices_list, + PyObject* codes_list) const +{ + assert(vertices_list != 0 && "Null python vertices_list"); + assert(codes_list != 0 && "Null python codes_list"); + + // Convert Contour to python equivalent, and clear it. + for (Contour::iterator line_it = contour.begin(); line_it != contour.end(); + ++line_it) { + ContourLine& line = **line_it; + if (line.is_hole()) { + // If hole has already been converted to python its parent will be + // set to 0 and it can be deleted. + if (line.get_parent() != 0) { + delete *line_it; + *line_it = 0; + } + } + else { + // Non-holes are converted to python together with their child + // holes so that they are rendered correctly. + ContourLine::const_iterator point; + ContourLine::Children::const_iterator children_it; + + const ContourLine::Children& children = line.get_children(); + npy_intp npoints = static_cast<npy_intp>(line.size() + 1); + for (children_it = children.begin(); children_it != children.end(); + ++children_it) + npoints += static_cast<npy_intp>((*children_it)->size() + 1); + + npy_intp vertices_dims[2] = {npoints, 2}; + numpy::array_view<double, 2> vertices(vertices_dims); + double* vertices_ptr = vertices.data(); + + npy_intp codes_dims[1] = {npoints}; + numpy::array_view<unsigned char, 1> codes(codes_dims); + unsigned char* codes_ptr = codes.data(); + + for (point = line.begin(); point != line.end(); ++point) { + *vertices_ptr++ = point->x; + *vertices_ptr++ = point->y; + *codes_ptr++ = (point == line.begin() ? MOVETO : LINETO); + } + point = line.begin(); + *vertices_ptr++ = point->x; + *vertices_ptr++ = point->y; + *codes_ptr++ = CLOSEPOLY; + + for (children_it = children.begin(); children_it != children.end(); + ++children_it) { + ContourLine& child = **children_it; + for (point = child.begin(); point != child.end(); ++point) { + *vertices_ptr++ = point->x; + *vertices_ptr++ = point->y; + *codes_ptr++ = (point == child.begin() ? MOVETO : LINETO); + } + point = child.begin(); + *vertices_ptr++ = point->x; + *vertices_ptr++ = point->y; + *codes_ptr++ = CLOSEPOLY; + + child.clear_parent(); // To indicate it can be deleted. + } + + if (PyList_Append(vertices_list, vertices.pyobj_steal()) || + PyList_Append(codes_list, codes.pyobj_steal())) { + Py_XDECREF(vertices_list); + Py_XDECREF(codes_list); + contour.delete_contour_lines(); + throw std::runtime_error("Unable to add contour line to vertices and codes lists"); + } + + delete *line_it; + *line_it = 0; + } + } + + // Delete remaining contour lines. + contour.delete_contour_lines(); +} + +long QuadContourGenerator::calc_chunk_count(long point_count) const +{ + assert(point_count > 0 && "point count must be positive"); + assert(_chunk_size > 0 && "Chunk size must be positive"); + + if (_chunk_size > 0) { + long count = (point_count-1) / _chunk_size; + if (count*_chunk_size < point_count-1) + ++count; + + assert(count >= 1 && "Invalid chunk count"); + return count; + } + else + return 1; +} + +PyObject* QuadContourGenerator::create_contour(const double& level) +{ + init_cache_levels(level, level); + + PyObject* vertices_list = PyList_New(0); + if (vertices_list == 0) + throw std::runtime_error("Failed to create Python list"); + + // Lines that start and end on boundaries. + long ichunk, jchunk, istart, iend, jstart, jend; + for (long ijchunk = 0; ijchunk < _chunk_count; ++ijchunk) { + get_chunk_limits(ijchunk, ichunk, jchunk, istart, iend, jstart, jend); + + for (long j = jstart; j < jend; ++j) { + long quad_end = iend + j*_nx; + for (long quad = istart + j*_nx; quad < quad_end; ++quad) { + if (EXISTS_NONE(quad) || VISITED(quad,1)) continue; + + if (BOUNDARY_S(quad) && Z_SW >= 1 && Z_SE < 1 && + start_line(vertices_list, quad, Edge_S, level)) continue; + + if (BOUNDARY_W(quad) && Z_NW >= 1 && Z_SW < 1 && + start_line(vertices_list, quad, Edge_W, level)) continue; + + if (BOUNDARY_N(quad) && Z_NE >= 1 && Z_NW < 1 && + start_line(vertices_list, quad, Edge_N, level)) continue; + + if (BOUNDARY_E(quad) && Z_SE >= 1 && Z_NE < 1 && + start_line(vertices_list, quad, Edge_E, level)) continue; + + if (_corner_mask) { + // Equates to NE boundary. + if (EXISTS_SW_CORNER(quad) && Z_SE >= 1 && Z_NW < 1 && + start_line(vertices_list, quad, Edge_NE, level)) continue; + + // Equates to NW boundary. + if (EXISTS_SE_CORNER(quad) && Z_NE >= 1 && Z_SW < 1 && + start_line(vertices_list, quad, Edge_NW, level)) continue; + + // Equates to SE boundary. + if (EXISTS_NW_CORNER(quad) && Z_SW >= 1 && Z_NE < 1 && + start_line(vertices_list, quad, Edge_SE, level)) continue; + + // Equates to SW boundary. + if (EXISTS_NE_CORNER(quad) && Z_NW >= 1 && Z_SE < 1 && + start_line(vertices_list, quad, Edge_SW, level)) continue; + } + } + } + } + + // Internal loops. + ContourLine contour_line(false); // Reused for each contour line. + for (long ijchunk = 0; ijchunk < _chunk_count; ++ijchunk) { + get_chunk_limits(ijchunk, ichunk, jchunk, istart, iend, jstart, jend); + + for (long j = jstart; j < jend; ++j) { + long quad_end = iend + j*_nx; + for (long quad = istart + j*_nx; quad < quad_end; ++quad) { + if (EXISTS_NONE(quad) || VISITED(quad,1)) + continue; + + Edge start_edge = get_start_edge(quad, 1); + if (start_edge == Edge_None) + continue; + + QuadEdge quad_edge(quad, start_edge); + QuadEdge start_quad_edge(quad_edge); + + // To obtain output identical to that produced by legacy code, + // sometimes need to ignore the first point and add it on the + // end instead. + bool ignore_first = (start_edge == Edge_N); + follow_interior(contour_line, quad_edge, 1, level, + !ignore_first, &start_quad_edge, 1, false); + if (ignore_first && !contour_line.empty()) + contour_line.push_back(contour_line.front()); + append_contour_line_to_vertices(contour_line, vertices_list); + + // Repeat if saddle point but not visited. + if (SADDLE(quad,1) && !VISITED(quad,1)) + --quad; + } + } + } + + return vertices_list; +} + +PyObject* QuadContourGenerator::create_filled_contour(const double& lower_level, + const double& upper_level) +{ + init_cache_levels(lower_level, upper_level); + + Contour contour; + + PyObject* vertices = PyList_New(0); + if (vertices == 0) + throw std::runtime_error("Failed to create Python list"); + + PyObject* codes = PyList_New(0); + if (codes == 0) { + Py_XDECREF(vertices); + throw std::runtime_error("Failed to create Python list"); + } + + long ichunk, jchunk, istart, iend, jstart, jend; + for (long ijchunk = 0; ijchunk < _chunk_count; ++ijchunk) { + get_chunk_limits(ijchunk, ichunk, jchunk, istart, iend, jstart, jend); + _parent_cache.set_chunk_starts(istart, jstart); + + for (long j = jstart; j < jend; ++j) { + long quad_end = iend + j*_nx; + for (long quad = istart + j*_nx; quad < quad_end; ++quad) { + if (!EXISTS_NONE(quad)) + single_quad_filled(contour, quad, lower_level, upper_level); + } + } + + // Clear VISITED_W and VISITED_S flags that are reused by later chunks. + if (jchunk < _nychunk-1) { + long quad_end = iend + jend*_nx; + for (long quad = istart + jend*_nx; quad < quad_end; ++quad) + _cache[quad] &= ~MASK_VISITED_S; + } + + if (ichunk < _nxchunk-1) { + long quad_end = iend + jend*_nx; + for (long quad = iend + jstart*_nx; quad < quad_end; quad += _nx) + _cache[quad] &= ~MASK_VISITED_W; + } + + // Create python objects to return for this chunk. + append_contour_to_vertices_and_codes(contour, vertices, codes); + } + + PyObject* tuple = PyTuple_New(2); + if (tuple == 0) { + Py_XDECREF(vertices); + Py_XDECREF(codes); + throw std::runtime_error("Failed to create Python tuple"); + } + + // No error checking here as filling in a brand new pre-allocated tuple. + PyTuple_SET_ITEM(tuple, 0, vertices); + PyTuple_SET_ITEM(tuple, 1, codes); + + return tuple; +} + +XY QuadContourGenerator::edge_interp(const QuadEdge& quad_edge, + const double& level) +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + return interp(get_edge_point_index(quad_edge, true), + get_edge_point_index(quad_edge, false), + level); +} + +unsigned int QuadContourGenerator::follow_boundary( + ContourLine& contour_line, + QuadEdge& quad_edge, + const double& lower_level, + const double& upper_level, + unsigned int level_index, + const QuadEdge& start_quad_edge) +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + assert(is_edge_a_boundary(quad_edge) && "Not a boundary edge"); + assert((level_index == 1 || level_index == 2) && + "level index must be 1 or 2"); + assert(start_quad_edge.quad >= 0 && start_quad_edge.quad < _n && + "Start quad index out of bounds"); + assert(start_quad_edge.edge != Edge_None && "Invalid start edge"); + + // Only called for filled contours, so always updates _parent_cache. + unsigned int end_level = 0; + bool first_edge = true; + bool stop = false; + long& quad = quad_edge.quad; + + while (true) { + // Levels of start and end points of quad_edge. + unsigned int start_level = + (first_edge ? Z_LEVEL(get_edge_point_index(quad_edge, true)) + : end_level); + long end_point = get_edge_point_index(quad_edge, false); + end_level = Z_LEVEL(end_point); + + if (level_index == 1) { + if (start_level <= level_index && end_level == 2) { + // Increasing z, switching levels from 1 to 2. + level_index = 2; + stop = true; + } + else if (start_level >= 1 && end_level == 0) { + // Decreasing z, keeping same level. + stop = true; + } + } + else { // level_index == 2 + if (start_level <= level_index && end_level == 2) { + // Increasing z, keeping same level. + stop = true; + } + else if (start_level >= 1 && end_level == 0) { + // Decreasing z, switching levels from 2 to 1. + level_index = 1; + stop = true; + } + } + + if (!first_edge && !stop && quad_edge == start_quad_edge) + // Return if reached start point of contour line. Do this before + // checking/setting VISITED flags as will already have been + // visited. + break; + + switch (quad_edge.edge) { + case Edge_E: + assert(!VISITED_W(quad+1) && "Already visited"); + _cache[quad+1] |= MASK_VISITED_W; + break; + case Edge_N: + assert(!VISITED_S(quad+_nx) && "Already visited"); + _cache[quad+_nx] |= MASK_VISITED_S; + break; + case Edge_W: + assert(!VISITED_W(quad) && "Already visited"); + _cache[quad] |= MASK_VISITED_W; + break; + case Edge_S: + assert(!VISITED_S(quad) && "Already visited"); + _cache[quad] |= MASK_VISITED_S; + break; + case Edge_NE: + case Edge_NW: + case Edge_SW: + case Edge_SE: + assert(!VISITED_CORNER(quad) && "Already visited"); + _cache[quad] |= MASK_VISITED_CORNER; + break; + default: + assert(0 && "Invalid Edge"); + break; + } + + if (stop) { + // Exiting boundary to enter interior. + contour_line.push_back(edge_interp(quad_edge, + level_index == 1 ? lower_level + : upper_level)); + break; + } + + move_to_next_boundary_edge(quad_edge); + + // Just moved to new quad edge, so label parent of start of quad edge. + switch (quad_edge.edge) { + case Edge_W: + case Edge_SW: + case Edge_S: + case Edge_SE: + if (!EXISTS_SE_CORNER(quad)) + _parent_cache.set_parent(quad, contour_line); + break; + case Edge_E: + case Edge_NE: + case Edge_N: + case Edge_NW: + if (!EXISTS_SW_CORNER(quad)) + _parent_cache.set_parent(quad + 1, contour_line); + break; + default: + assert(0 && "Invalid edge"); + break; + } + + // Add point to contour. + contour_line.push_back(get_point_xy(end_point)); + + if (first_edge) + first_edge = false; + } + + return level_index; +} + +void QuadContourGenerator::follow_interior(ContourLine& contour_line, + QuadEdge& quad_edge, + unsigned int level_index, + const double& level, + bool want_initial_point, + const QuadEdge* start_quad_edge, + unsigned int start_level_index, + bool set_parents) +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds."); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + assert((level_index == 1 || level_index == 2) && + "level index must be 1 or 2"); + assert((start_quad_edge == 0 || + (start_quad_edge->quad >= 0 && start_quad_edge->quad < _n)) && + "Start quad index out of bounds."); + assert((start_quad_edge == 0 || start_quad_edge->edge != Edge_None) && + "Invalid start edge"); + assert((start_level_index == 1 || start_level_index == 2) && + "start level index must be 1 or 2"); + + long& quad = quad_edge.quad; + Edge& edge = quad_edge.edge; + + if (want_initial_point) + contour_line.push_back(edge_interp(quad_edge, level)); + + CacheItem visited_mask = (level_index == 1 ? MASK_VISITED_1 : MASK_VISITED_2); + CacheItem saddle_mask = (level_index == 1 ? MASK_SADDLE_1 : MASK_SADDLE_2); + Dir dir = Dir_Straight; + + while (true) { + assert(!EXISTS_NONE(quad) && "Quad does not exist"); + assert(!(_cache[quad] & visited_mask) && "Quad already visited"); + + // Determine direction to move to next quad. If the quad is already + // labelled as a saddle quad then the direction is easily read from + // the cache. Otherwise the direction is determined differently + // depending on whether the quad is a corner quad or not. + + if (_cache[quad] & saddle_mask) { + // Already identified as a saddle quad, so direction is easy. + dir = (SADDLE_LEFT(quad,level_index) ? Dir_Left : Dir_Right); + _cache[quad] |= visited_mask; + } + else if (EXISTS_ANY_CORNER(quad)) { + // Need z-level of point opposite the entry edge, as that + // determines whether contour turns left or right. + long point_opposite = -1; + switch (edge) { + case Edge_E: + point_opposite = (EXISTS_SE_CORNER(quad) ? POINT_SW + : POINT_NW); + break; + case Edge_N: + point_opposite = (EXISTS_NW_CORNER(quad) ? POINT_SW + : POINT_SE); + break; + case Edge_W: + point_opposite = (EXISTS_SW_CORNER(quad) ? POINT_SE + : POINT_NE); + break; + case Edge_S: + point_opposite = (EXISTS_SW_CORNER(quad) ? POINT_NW + : POINT_NE); + break; + case Edge_NE: point_opposite = POINT_SW; break; + case Edge_NW: point_opposite = POINT_SE; break; + case Edge_SW: point_opposite = POINT_NE; break; + case Edge_SE: point_opposite = POINT_NW; break; + default: assert(0 && "Invalid edge"); break; + } + assert(point_opposite != -1 && "Failed to find opposite point"); + + // Lower-level polygons (level_index == 1) always have higher + // values to the left of the contour. Upper-level contours + // (level_index == 2) are reversed, which is what the fancy XOR + // does below. + if ((Z_LEVEL(point_opposite) >= level_index) ^ (level_index == 2)) + dir = Dir_Right; + else + dir = Dir_Left; + _cache[quad] |= visited_mask; + } + else { + // Calculate configuration of this quad. + long point_left = -1, point_right = -1; + switch (edge) { + case Edge_E: point_left = POINT_SW; point_right = POINT_NW; break; + case Edge_N: point_left = POINT_SE; point_right = POINT_SW; break; + case Edge_W: point_left = POINT_NE; point_right = POINT_SE; break; + case Edge_S: point_left = POINT_NW; point_right = POINT_NE; break; + default: assert(0 && "Invalid edge"); break; + } + + unsigned int config = (Z_LEVEL(point_left) >= level_index) << 1 | + (Z_LEVEL(point_right) >= level_index); + + // Upper level (level_index == 2) polygons are reversed compared to + // lower level ones, i.e. higher values on the right rather than + // the left. + if (level_index == 2) + config = 3 - config; + + // Calculate turn direction to move to next quad along contour line. + if (config == 1) { + // New saddle quad, set up cache bits for it. + double zmid = 0.25*(get_point_z(POINT_SW) + + get_point_z(POINT_SE) + + get_point_z(POINT_NW) + + get_point_z(POINT_NE)); + _cache[quad] |= (level_index == 1 ? MASK_SADDLE_1 : MASK_SADDLE_2); + if ((zmid > level) ^ (level_index == 2)) { + dir = Dir_Right; + } + else { + dir = Dir_Left; + _cache[quad] |= (level_index == 1 ? MASK_SADDLE_LEFT_1 + : MASK_SADDLE_LEFT_2); + } + if (edge == Edge_N || edge == Edge_E) { + // Next visit to this quad must start on S or W. + _cache[quad] |= (level_index == 1 ? MASK_SADDLE_START_SW_1 + : MASK_SADDLE_START_SW_2); + } + } + else { + // Normal (non-saddle) quad. + dir = (config == 0 ? Dir_Left + : (config == 3 ? Dir_Right : Dir_Straight)); + _cache[quad] |= visited_mask; + } + } + + // Use dir to determine exit edge. + edge = get_exit_edge(quad_edge, dir); + + if (set_parents) { + if (edge == Edge_E) + _parent_cache.set_parent(quad+1, contour_line); + else if (edge == Edge_W) + _parent_cache.set_parent(quad, contour_line); + } + + // Add new point to contour line. + contour_line.push_back(edge_interp(quad_edge, level)); + + // Stop if reached boundary. + if (is_edge_a_boundary(quad_edge)) + break; + + move_to_next_quad(quad_edge); + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + + // Return if reached start point of contour line. + if (start_quad_edge != 0 && + quad_edge == *start_quad_edge && + level_index == start_level_index) + break; + } +} + +void QuadContourGenerator::get_chunk_limits(long ijchunk, + long& ichunk, + long& jchunk, + long& istart, + long& iend, + long& jstart, + long& jend) +{ + assert(ijchunk >= 0 && ijchunk < _chunk_count && "ijchunk out of bounds"); + ichunk = ijchunk % _nxchunk; + jchunk = ijchunk / _nxchunk; + istart = ichunk*_chunk_size; + iend = (ichunk == _nxchunk-1 ? _nx : (ichunk+1)*_chunk_size); + jstart = jchunk*_chunk_size; + jend = (jchunk == _nychunk-1 ? _ny : (jchunk+1)*_chunk_size); +} + +Edge QuadContourGenerator::get_corner_start_edge(long quad, + unsigned int level_index) const +{ + assert(quad >= 0 && quad < _n && "Quad index out of bounds"); + assert((level_index == 1 || level_index == 2) && + "level index must be 1 or 2"); + assert(EXISTS_ANY_CORNER(quad) && "Quad is not a corner"); + + // Diagram for NE corner. Rotate for other corners. + // + // edge12 + // point1 +---------+ point2 + // \ | + // \ | edge23 + // edge31 \ | + // \ | + // + point3 + // + long point1, point2, point3; + Edge edge12, edge23, edge31; + switch (_cache[quad] & MASK_EXISTS) { + case MASK_EXISTS_SW_CORNER: + point1 = POINT_SE; point2 = POINT_SW; point3 = POINT_NW; + edge12 = Edge_S; edge23 = Edge_W; edge31 = Edge_NE; + break; + case MASK_EXISTS_SE_CORNER: + point1 = POINT_NE; point2 = POINT_SE; point3 = POINT_SW; + edge12 = Edge_E; edge23 = Edge_S; edge31 = Edge_NW; + break; + case MASK_EXISTS_NW_CORNER: + point1 = POINT_SW; point2 = POINT_NW; point3 = POINT_NE; + edge12 = Edge_W; edge23 = Edge_N; edge31 = Edge_SE; + break; + case MASK_EXISTS_NE_CORNER: + point1 = POINT_NW; point2 = POINT_NE; point3 = POINT_SE; + edge12 = Edge_N; edge23 = Edge_E; edge31 = Edge_SW; + break; + default: + assert(0 && "Invalid EXISTS for quad"); + return Edge_None; + } + + unsigned int config = (Z_LEVEL(point1) >= level_index) << 2 | + (Z_LEVEL(point2) >= level_index) << 1 | + (Z_LEVEL(point3) >= level_index); + + // Upper level (level_index == 2) polygons are reversed compared to lower + // level ones, i.e. higher values on the right rather than the left. + if (level_index == 2) + config = 7 - config; + + switch (config) { + case 0: return Edge_None; + case 1: return edge23; + case 2: return edge12; + case 3: return edge12; + case 4: return edge31; + case 5: return edge23; + case 6: return edge31; + case 7: return Edge_None; + default: assert(0 && "Invalid config"); return Edge_None; + } +} + +long QuadContourGenerator::get_edge_point_index(const QuadEdge& quad_edge, + bool start) const +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + + // Edges are ordered anticlockwise around their quad, as indicated by + // directions of arrows in diagrams below. + // Full quad NW corner (others similar) + // + // POINT_NW Edge_N POINT_NE POINT_NW Edge_N POINT_NE + // +----<-----+ +----<-----+ + // | | | / + // | | | quad / + // Edge_W V quad ^ Edge_E Edge_W V ^ + // | | | / Edge_SE + // | | | / + // +---->-----+ + + // POINT_SW Edge_S POINT_SE POINT_SW + // + const long& quad = quad_edge.quad; + switch (quad_edge.edge) { + case Edge_E: return (start ? POINT_SE : POINT_NE); + case Edge_N: return (start ? POINT_NE : POINT_NW); + case Edge_W: return (start ? POINT_NW : POINT_SW); + case Edge_S: return (start ? POINT_SW : POINT_SE); + case Edge_NE: return (start ? POINT_SE : POINT_NW); + case Edge_NW: return (start ? POINT_NE : POINT_SW); + case Edge_SW: return (start ? POINT_NW : POINT_SE); + case Edge_SE: return (start ? POINT_SW : POINT_NE); + default: assert(0 && "Invalid edge"); return 0; + } +} + +Edge QuadContourGenerator::get_exit_edge(const QuadEdge& quad_edge, + Dir dir) const +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + + const long& quad = quad_edge.quad; + const Edge& edge = quad_edge.edge; + if (EXISTS_ANY_CORNER(quad)) { + // Corner directions are always left or right. A corner is a triangle, + // entered via one edge so the other two edges are the left and right + // ones. + switch (edge) { + case Edge_E: + return (EXISTS_SE_CORNER(quad) + ? (dir == Dir_Left ? Edge_S : Edge_NW) + : (dir == Dir_Right ? Edge_N : Edge_SW)); + case Edge_N: + return (EXISTS_NW_CORNER(quad) + ? (dir == Dir_Right ? Edge_W : Edge_SE) + : (dir == Dir_Left ? Edge_E : Edge_SW)); + case Edge_W: + return (EXISTS_SW_CORNER(quad) + ? (dir == Dir_Right ? Edge_S : Edge_NE) + : (dir == Dir_Left ? Edge_N : Edge_SE)); + case Edge_S: + return (EXISTS_SW_CORNER(quad) + ? (dir == Dir_Left ? Edge_W : Edge_NE) + : (dir == Dir_Right ? Edge_E : Edge_NW)); + case Edge_NE: return (dir == Dir_Left ? Edge_S : Edge_W); + case Edge_NW: return (dir == Dir_Left ? Edge_E : Edge_S); + case Edge_SW: return (dir == Dir_Left ? Edge_N : Edge_E); + case Edge_SE: return (dir == Dir_Left ? Edge_W : Edge_N); + default: assert(0 && "Invalid edge"); return Edge_None; + } + } + else { + // A full quad has four edges, entered via one edge so that other three + // edges correspond to left, straight and right directions. + switch (edge) { + case Edge_E: + return (dir == Dir_Left ? Edge_S : + (dir == Dir_Right ? Edge_N : Edge_W)); + case Edge_N: + return (dir == Dir_Left ? Edge_E : + (dir == Dir_Right ? Edge_W : Edge_S)); + case Edge_W: + return (dir == Dir_Left ? Edge_N : + (dir == Dir_Right ? Edge_S : Edge_E)); + case Edge_S: + return (dir == Dir_Left ? Edge_W : + (dir == Dir_Right ? Edge_E : Edge_N)); + default: assert(0 && "Invalid edge"); return Edge_None; + } + } +} + +XY QuadContourGenerator::get_point_xy(long point) const +{ + assert(point >= 0 && point < _n && "Point index out of bounds."); + return XY(_x.data()[static_cast<npy_intp>(point)], + _y.data()[static_cast<npy_intp>(point)]); +} + +const double& QuadContourGenerator::get_point_z(long point) const +{ + assert(point >= 0 && point < _n && "Point index out of bounds."); + return _z.data()[static_cast<npy_intp>(point)]; +} + +Edge QuadContourGenerator::get_quad_start_edge(long quad, + unsigned int level_index) const +{ + assert(quad >= 0 && quad < _n && "Quad index out of bounds"); + assert((level_index == 1 || level_index == 2) && + "level index must be 1 or 2"); + assert(EXISTS_QUAD(quad) && "Quad does not exist"); + + unsigned int config = (Z_NW >= level_index) << 3 | + (Z_NE >= level_index) << 2 | + (Z_SW >= level_index) << 1 | + (Z_SE >= level_index); + + // Upper level (level_index == 2) polygons are reversed compared to lower + // level ones, i.e. higher values on the right rather than the left. + if (level_index == 2) + config = 15 - config; + + switch (config) { + case 0: return Edge_None; + case 1: return Edge_E; + case 2: return Edge_S; + case 3: return Edge_E; + case 4: return Edge_N; + case 5: return Edge_N; + case 6: + // If already identified as a saddle quad then the start edge is + // read from the cache. Otherwise return either valid start edge + // and the subsequent call to follow_interior() will correctly set + // up saddle bits in cache. + if (!SADDLE(quad,level_index) || SADDLE_START_SW(quad,level_index)) + return Edge_S; + else + return Edge_N; + case 7: return Edge_N; + case 8: return Edge_W; + case 9: + // See comment for 6 above. + if (!SADDLE(quad,level_index) || SADDLE_START_SW(quad,level_index)) + return Edge_W; + else + return Edge_E; + case 10: return Edge_S; + case 11: return Edge_E; + case 12: return Edge_W; + case 13: return Edge_W; + case 14: return Edge_S; + case 15: return Edge_None; + default: assert(0 && "Invalid config"); return Edge_None; + } +} + +Edge QuadContourGenerator::get_start_edge(long quad, + unsigned int level_index) const +{ + if (EXISTS_ANY_CORNER(quad)) + return get_corner_start_edge(quad, level_index); + else + return get_quad_start_edge(quad, level_index); +} + +void QuadContourGenerator::init_cache_grid(const MaskArray& mask) +{ + long i, j, quad; + + if (mask.empty()) { + // No mask, easy to calculate quad existence and boundaries together. + quad = 0; + for (j = 0; j < _ny; ++j) { + for (i = 0; i < _nx; ++i, ++quad) { + _cache[quad] = 0; + + if (i < _nx-1 && j < _ny-1) + _cache[quad] |= MASK_EXISTS_QUAD; + + if ((i % _chunk_size == 0 || i == _nx-1) && j < _ny-1) + _cache[quad] |= MASK_BOUNDARY_W; + + if ((j % _chunk_size == 0 || j == _ny-1) && i < _nx-1) + _cache[quad] |= MASK_BOUNDARY_S; + } + } + } + else { + // Casting avoids problem when sizeof(bool) != sizeof(npy_bool). + const npy_bool* mask_ptr = + reinterpret_cast<const npy_bool*>(mask.data()); + + // Have mask so use two stages. + // Stage 1, determine if quads/corners exist. + quad = 0; + for (j = 0; j < _ny; ++j) { + for (i = 0; i < _nx; ++i, ++quad) { + _cache[quad] = 0; + + if (i < _nx-1 && j < _ny-1) { + unsigned int config = mask_ptr[POINT_NW] << 3 | + mask_ptr[POINT_NE] << 2 | + mask_ptr[POINT_SW] << 1 | + mask_ptr[POINT_SE]; + + if (_corner_mask) { + switch (config) { + case 0: _cache[quad] = MASK_EXISTS_QUAD; break; + case 1: _cache[quad] = MASK_EXISTS_NW_CORNER; break; + case 2: _cache[quad] = MASK_EXISTS_NE_CORNER; break; + case 4: _cache[quad] = MASK_EXISTS_SW_CORNER; break; + case 8: _cache[quad] = MASK_EXISTS_SE_CORNER; break; + default: + // Do nothing, quad is masked out. + break; + } + } + else if (config == 0) + _cache[quad] = MASK_EXISTS_QUAD; + } + } + } + + // Stage 2, calculate W and S boundaries. For each quad use boundary + // data already calculated for quads to W and S, so must iterate + // through quads in correct order (increasing i and j indices). + // Cannot use boundary data for quads to E and N as have not yet + // calculated it. + quad = 0; + for (j = 0; j < _ny; ++j) { + for (i = 0; i < _nx; ++i, ++quad) { + if (_corner_mask) { + bool W_exists_none = (i == 0 || EXISTS_NONE(quad-1)); + bool S_exists_none = (j == 0 || EXISTS_NONE(quad-_nx)); + bool W_exists_E_edge = (i > 0 && EXISTS_E_EDGE(quad-1)); + bool S_exists_N_edge = (j > 0 && EXISTS_N_EDGE(quad-_nx)); + + if ((EXISTS_W_EDGE(quad) && W_exists_none) || + (EXISTS_NONE(quad) && W_exists_E_edge) || + (i % _chunk_size == 0 && EXISTS_W_EDGE(quad) && + W_exists_E_edge)) + _cache[quad] |= MASK_BOUNDARY_W; + + if ((EXISTS_S_EDGE(quad) && S_exists_none) || + (EXISTS_NONE(quad) && S_exists_N_edge) || + (j % _chunk_size == 0 && EXISTS_S_EDGE(quad) && + S_exists_N_edge)) + _cache[quad] |= MASK_BOUNDARY_S; + } + else { + bool W_exists_quad = (i > 0 && EXISTS_QUAD(quad-1)); + bool S_exists_quad = (j > 0 && EXISTS_QUAD(quad-_nx)); + + if ((EXISTS_QUAD(quad) != W_exists_quad) || + (i % _chunk_size == 0 && EXISTS_QUAD(quad) && + W_exists_quad)) + _cache[quad] |= MASK_BOUNDARY_W; + + if ((EXISTS_QUAD(quad) != S_exists_quad) || + (j % _chunk_size == 0 && EXISTS_QUAD(quad) && + S_exists_quad)) + _cache[quad] |= MASK_BOUNDARY_S; + } + } + } + } +} + +void QuadContourGenerator::init_cache_levels(const double& lower_level, + const double& upper_level) +{ + assert(upper_level >= lower_level && + "upper and lower levels are wrong way round"); + + bool two_levels = (lower_level != upper_level); + CacheItem keep_mask = + (_corner_mask ? MASK_EXISTS | MASK_BOUNDARY_S | MASK_BOUNDARY_W + : MASK_EXISTS_QUAD | MASK_BOUNDARY_S | MASK_BOUNDARY_W); + + if (two_levels) { + const double* z_ptr = _z.data(); + for (long quad = 0; quad < _n; ++quad, ++z_ptr) { + _cache[quad] &= keep_mask; + if (*z_ptr > upper_level) + _cache[quad] |= MASK_Z_LEVEL_2; + else if (*z_ptr > lower_level) + _cache[quad] |= MASK_Z_LEVEL_1; + } + } + else { + const double* z_ptr = _z.data(); + for (long quad = 0; quad < _n; ++quad, ++z_ptr) { + _cache[quad] &= keep_mask; + if (*z_ptr > lower_level) + _cache[quad] |= MASK_Z_LEVEL_1; + } + } +} + +XY QuadContourGenerator::interp( + long point1, long point2, const double& level) const +{ + assert(point1 >= 0 && point1 < _n && "Point index 1 out of bounds."); + assert(point2 >= 0 && point2 < _n && "Point index 2 out of bounds."); + assert(point1 != point2 && "Identical points"); + double fraction = (get_point_z(point2) - level) / + (get_point_z(point2) - get_point_z(point1)); + return get_point_xy(point1)*fraction + get_point_xy(point2)*(1.0 - fraction); +} + +bool QuadContourGenerator::is_edge_a_boundary(const QuadEdge& quad_edge) const +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + + switch (quad_edge.edge) { + case Edge_E: return BOUNDARY_E(quad_edge.quad); + case Edge_N: return BOUNDARY_N(quad_edge.quad); + case Edge_W: return BOUNDARY_W(quad_edge.quad); + case Edge_S: return BOUNDARY_S(quad_edge.quad); + case Edge_NE: return EXISTS_SW_CORNER(quad_edge.quad); + case Edge_NW: return EXISTS_SE_CORNER(quad_edge.quad); + case Edge_SW: return EXISTS_NE_CORNER(quad_edge.quad); + case Edge_SE: return EXISTS_NW_CORNER(quad_edge.quad); + default: assert(0 && "Invalid edge"); return true; + } +} + +void QuadContourGenerator::move_to_next_boundary_edge(QuadEdge& quad_edge) const +{ + assert(is_edge_a_boundary(quad_edge) && "QuadEdge is not a boundary"); + + long& quad = quad_edge.quad; + Edge& edge = quad_edge.edge; + + quad = get_edge_point_index(quad_edge, false); + + // quad is now such that POINT_SW is the end point of the quad_edge passed + // to this function. + + // To find the next boundary edge, first attempt to turn left 135 degrees + // and if that edge is a boundary then move to it. If not, attempt to turn + // left 90 degrees, then left 45 degrees, then straight on, etc, until can + // move. + // First determine which edge to attempt first. + int index = 0; + switch (edge) { + case Edge_E: index = 0; break; + case Edge_SE: index = 1; break; + case Edge_S: index = 2; break; + case Edge_SW: index = 3; break; + case Edge_W: index = 4; break; + case Edge_NW: index = 5; break; + case Edge_N: index = 6; break; + case Edge_NE: index = 7; break; + default: assert(0 && "Invalid edge"); break; + } + + // If _corner_mask not set, only need to consider odd index in loop below. + if (!_corner_mask) + ++index; + + // Try each edge in turn until a boundary is found. + int start_index = index; + do + { + switch (index) { + case 0: + if (EXISTS_SE_CORNER(quad-_nx-1)) { // Equivalent to BOUNDARY_NW + quad -= _nx+1; + edge = Edge_NW; + return; + } + break; + case 1: + if (BOUNDARY_N(quad-_nx-1)) { + quad -= _nx+1; + edge = Edge_N; + return; + } + break; + case 2: + if (EXISTS_SW_CORNER(quad-1)) { // Equivalent to BOUNDARY_NE + quad -= 1; + edge = Edge_NE; + return; + } + break; + case 3: + if (BOUNDARY_E(quad-1)) { + quad -= 1; + edge = Edge_E; + return; + } + break; + case 4: + if (EXISTS_NW_CORNER(quad)) { // Equivalent to BOUNDARY_SE + edge = Edge_SE; + return; + } + break; + case 5: + if (BOUNDARY_S(quad)) { + edge = Edge_S; + return; + } + break; + case 6: + if (EXISTS_NE_CORNER(quad-_nx)) { // Equivalent to BOUNDARY_SW + quad -= _nx; + edge = Edge_SW; + return; + } + break; + case 7: + if (BOUNDARY_W(quad-_nx)) { + quad -= _nx; + edge = Edge_W; + return; + } + break; + default: assert(0 && "Invalid index"); break; + } + + if (_corner_mask) + index = (index + 1) % 8; + else + index = (index + 2) % 8; + } while (index != start_index); + + assert(0 && "Failed to find next boundary edge"); +} + +void QuadContourGenerator::move_to_next_quad(QuadEdge& quad_edge) const +{ + assert(quad_edge.quad >= 0 && quad_edge.quad < _n && + "Quad index out of bounds"); + assert(quad_edge.edge != Edge_None && "Invalid edge"); + + // Move from quad_edge.quad to the neighbouring quad in the direction + // specified by quad_edge.edge. + switch (quad_edge.edge) { + case Edge_E: quad_edge.quad += 1; quad_edge.edge = Edge_W; break; + case Edge_N: quad_edge.quad += _nx; quad_edge.edge = Edge_S; break; + case Edge_W: quad_edge.quad -= 1; quad_edge.edge = Edge_E; break; + case Edge_S: quad_edge.quad -= _nx; quad_edge.edge = Edge_N; break; + default: assert(0 && "Invalid edge"); break; + } +} + +void QuadContourGenerator::single_quad_filled(Contour& contour, + long quad, + const double& lower_level, + const double& upper_level) +{ + assert(quad >= 0 && quad < _n && "Quad index out of bounds"); + + // Order of checking is important here as can have different ContourLines + // from both lower and upper levels in the same quad. First check the S + // edge, then move up the quad to the N edge checking as required. + + // Possible starts from S boundary. + if (BOUNDARY_S(quad) && EXISTS_S_EDGE(quad)) { + + // Lower-level start from S boundary into interior. + if (!VISITED_S(quad) && Z_SW >= 1 && Z_SE == 0) + contour.push_back(start_filled(quad, Edge_S, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from S boundary into interior. + if (!VISITED_S(quad) && Z_SW < 2 && Z_SE == 2) + contour.push_back(start_filled(quad, Edge_S, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start following S boundary from W to E. + if (!VISITED_S(quad) && Z_SW <= 1 && Z_SE == 1) + contour.push_back(start_filled(quad, Edge_S, 1, NotHole, Boundary, + lower_level, upper_level)); + + // Upper-level start following S boundary from W to E. + if (!VISITED_S(quad) && Z_SW == 2 && Z_SE == 1) + contour.push_back(start_filled(quad, Edge_S, 2, NotHole, Boundary, + lower_level, upper_level)); + } + + // Possible starts from W boundary. + if (BOUNDARY_W(quad) && EXISTS_W_EDGE(quad)) { + + // Lower-level start from W boundary into interior. + if (!VISITED_W(quad) && Z_NW >= 1 && Z_SW == 0) + contour.push_back(start_filled(quad, Edge_W, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from W boundary into interior. + if (!VISITED_W(quad) && Z_NW < 2 && Z_SW == 2) + contour.push_back(start_filled(quad, Edge_W, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start following W boundary from N to S. + if (!VISITED_W(quad) && Z_NW <= 1 && Z_SW == 1) + contour.push_back(start_filled(quad, Edge_W, 1, NotHole, Boundary, + lower_level, upper_level)); + + // Upper-level start following W boundary from N to S. + if (!VISITED_W(quad) && Z_NW == 2 && Z_SW == 1) + contour.push_back(start_filled(quad, Edge_W, 2, NotHole, Boundary, + lower_level, upper_level)); + } + + // Possible starts from NE boundary. + if (EXISTS_SW_CORNER(quad)) { // i.e. BOUNDARY_NE + + // Lower-level start following NE boundary from SE to NW, hole. + if (!VISITED_CORNER(quad) && Z_NW == 1 && Z_SE == 1) + contour.push_back(start_filled(quad, Edge_NE, 1, Hole, Boundary, + lower_level, upper_level)); + } + // Possible starts from SE boundary. + else if (EXISTS_NW_CORNER(quad)) { // i.e. BOUNDARY_SE + + // Lower-level start from N to SE. + if (!VISITED(quad,1) && Z_NW == 0 && Z_SW == 0 && Z_NE >= 1) + contour.push_back(start_filled(quad, Edge_N, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from SE to N, hole. + if (!VISITED(quad,2) && Z_NW < 2 && Z_SW < 2 && Z_NE == 2) + contour.push_back(start_filled(quad, Edge_SE, 2, Hole, Interior, + lower_level, upper_level)); + + // Upper-level start from N to SE. + if (!VISITED(quad,2) && Z_NW == 2 && Z_SW == 2 && Z_NE < 2) + contour.push_back(start_filled(quad, Edge_N, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start from SE to N, hole. + if (!VISITED(quad,1) && Z_NW >= 1 && Z_SW >= 1 && Z_NE == 0) + contour.push_back(start_filled(quad, Edge_SE, 1, Hole, Interior, + lower_level, upper_level)); + } + // Possible starts from NW boundary. + else if (EXISTS_SE_CORNER(quad)) { // i.e. BOUNDARY_NW + + // Lower-level start from NW to E. + if (!VISITED(quad,1) && Z_SW == 0 && Z_SE == 0 && Z_NE >= 1) + contour.push_back(start_filled(quad, Edge_NW, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from E to NW, hole. + if (!VISITED(quad,2) && Z_SW < 2 && Z_SE < 2 && Z_NE == 2) + contour.push_back(start_filled(quad, Edge_E, 2, Hole, Interior, + lower_level, upper_level)); + + // Upper-level start from NW to E. + if (!VISITED(quad,2) && Z_SW == 2 && Z_SE == 2 && Z_NE < 2) + contour.push_back(start_filled(quad, Edge_NW, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start from E to NW, hole. + if (!VISITED(quad,1) && Z_SW >= 1 && Z_SE >= 1 && Z_NE == 0) + contour.push_back(start_filled(quad, Edge_E, 1, Hole, Interior, + lower_level, upper_level)); + } + // Possible starts from SW boundary. + else if (EXISTS_NE_CORNER(quad)) { // i.e. BOUNDARY_SW + + // Lower-level start from SW boundary into interior. + if (!VISITED_CORNER(quad) && Z_NW >= 1 && Z_SE == 0) + contour.push_back(start_filled(quad, Edge_SW, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from SW boundary into interior. + if (!VISITED_CORNER(quad) && Z_NW < 2 && Z_SE == 2) + contour.push_back(start_filled(quad, Edge_SW, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start following SW boundary from NW to SE. + if (!VISITED_CORNER(quad) && Z_NW <= 1 && Z_SE == 1) + contour.push_back(start_filled(quad, Edge_SW, 1, NotHole, Boundary, + lower_level, upper_level)); + + // Upper-level start following SW boundary from NW to SE. + if (!VISITED_CORNER(quad) && Z_NW == 2 && Z_SE == 1) + contour.push_back(start_filled(quad, Edge_SW, 2, NotHole, Boundary, + lower_level, upper_level)); + } + + // A full (unmasked) quad can only have a start on the NE corner, i.e. from + // N to E (lower level) or E to N (upper level). Any other start will have + // already been created in a call to this function for a prior quad so we + // don't need to test for it again here. + // + // The situation is complicated by the possibility that the quad is a + // saddle quad, in which case a contour line starting on the N could leave + // by either the W or the E. We only need to consider those leaving E. + // + // A NE corner can also have a N to E or E to N start. + if (EXISTS_QUAD(quad) || EXISTS_NE_CORNER(quad)) { + + // Lower-level start from N to E. + if (!VISITED(quad,1) && Z_NW == 0 && Z_SE == 0 && Z_NE >= 1 && + (!SADDLE(quad,1) || SADDLE_LEFT(quad,1))) + contour.push_back(start_filled(quad, Edge_N, 1, NotHole, Interior, + lower_level, upper_level)); + + // Upper-level start from E to N, hole. + if (!VISITED(quad,2) && Z_NW < 2 && Z_SE < 2 && Z_NE == 2 && + (!SADDLE(quad,2) || !SADDLE_LEFT(quad,2))) + contour.push_back(start_filled(quad, Edge_E, 2, Hole, Interior, + lower_level, upper_level)); + + // Upper-level start from N to E. + if (!VISITED(quad,2) && Z_NW == 2 && Z_SE == 2 && Z_NE < 2 && + (!SADDLE(quad,2) || SADDLE_LEFT(quad,2))) + contour.push_back(start_filled(quad, Edge_N, 2, NotHole, Interior, + lower_level, upper_level)); + + // Lower-level start from E to N, hole. + if (!VISITED(quad,1) && Z_NW >= 1 && Z_SE >= 1 && Z_NE == 0 && + (!SADDLE(quad,1) || !SADDLE_LEFT(quad,1))) + contour.push_back(start_filled(quad, Edge_E, 1, Hole, Interior, + lower_level, upper_level)); + + // All possible contours passing through the interior of this quad + // should have already been created, so assert this. + assert((VISITED(quad,1) || get_start_edge(quad, 1) == Edge_None) && + "Found start of contour that should have already been created"); + assert((VISITED(quad,2) || get_start_edge(quad, 2) == Edge_None) && + "Found start of contour that should have already been created"); + } + + // Lower-level start following N boundary from E to W, hole. + // This is required for an internal masked region which is a hole in a + // surrounding contour line. + if (BOUNDARY_N(quad) && EXISTS_N_EDGE(quad) && + !VISITED_S(quad+_nx) && Z_NW == 1 && Z_NE == 1) + contour.push_back(start_filled(quad, Edge_N, 1, Hole, Boundary, + lower_level, upper_level)); +} + +ContourLine* QuadContourGenerator::start_filled( + long quad, + Edge edge, + unsigned int start_level_index, + HoleOrNot hole_or_not, + BoundaryOrInterior boundary_or_interior, + const double& lower_level, + const double& upper_level) +{ + assert(quad >= 0 && quad < _n && "Quad index out of bounds"); + assert(edge != Edge_None && "Invalid edge"); + assert((start_level_index == 1 || start_level_index == 2) && + "start level index must be 1 or 2"); + + ContourLine* contour_line = new ContourLine(hole_or_not == Hole); + if (hole_or_not == Hole) { + // Find and set parent ContourLine. + ContourLine* parent = _parent_cache.get_parent(quad + 1); + assert(parent != 0 && "Failed to find parent ContourLine"); + contour_line->set_parent(parent); + parent->add_child(contour_line); + } + + QuadEdge quad_edge(quad, edge); + const QuadEdge start_quad_edge(quad_edge); + unsigned int level_index = start_level_index; + + // If starts on interior, can only finish on interior. + // If starts on boundary, can only finish on boundary. + + while (true) { + if (boundary_or_interior == Interior) { + double level = (level_index == 1 ? lower_level : upper_level); + follow_interior(*contour_line, quad_edge, level_index, level, + false, &start_quad_edge, start_level_index, true); + } + else { + level_index = follow_boundary( + *contour_line, quad_edge, lower_level, + upper_level, level_index, start_quad_edge); + } + + if (quad_edge == start_quad_edge && (boundary_or_interior == Boundary || + level_index == start_level_index)) + break; + + if (boundary_or_interior == Boundary) + boundary_or_interior = Interior; + else + boundary_or_interior = Boundary; + } + + return contour_line; +} + +bool QuadContourGenerator::start_line( + PyObject* vertices_list, long quad, Edge edge, const double& level) +{ + assert(vertices_list != 0 && "Null python vertices list"); + assert(is_edge_a_boundary(QuadEdge(quad, edge)) && + "QuadEdge is not a boundary"); + + QuadEdge quad_edge(quad, edge); + ContourLine contour_line(false); + follow_interior(contour_line, quad_edge, 1, level, true, 0, 1, false); + append_contour_line_to_vertices(contour_line, vertices_list); + return VISITED(quad,1); +} + +void QuadContourGenerator::write_cache(bool grid_only) const +{ + std::cout << "-----------------------------------------------" << std::endl; + for (long quad = 0; quad < _n; ++quad) + write_cache_quad(quad, grid_only); + std::cout << "-----------------------------------------------" << std::endl; +} + +void QuadContourGenerator::write_cache_quad(long quad, bool grid_only) const +{ + long j = quad / _nx; + long i = quad - j*_nx; + std::cout << quad << ": i=" << i << " j=" << j + << " EXISTS=" << EXISTS_QUAD(quad); + if (_corner_mask) + std::cout << " CORNER=" << EXISTS_SW_CORNER(quad) << EXISTS_SE_CORNER(quad) + << EXISTS_NW_CORNER(quad) << EXISTS_NE_CORNER(quad); + std::cout << " BNDY=" << (BOUNDARY_S(quad)>0) << (BOUNDARY_W(quad)>0); + if (!grid_only) { + std::cout << " Z=" << Z_LEVEL(quad) + << " SAD=" << (SADDLE(quad,1)>0) << (SADDLE(quad,2)>0) + << " LEFT=" << (SADDLE_LEFT(quad,1)>0) << (SADDLE_LEFT(quad,2)>0) + << " NW=" << (SADDLE_START_SW(quad,1)>0) << (SADDLE_START_SW(quad,2)>0) + << " VIS=" << (VISITED(quad,1)>0) << (VISITED(quad,2)>0) + << (VISITED_S(quad)>0) << (VISITED_W(quad)>0) + << (VISITED_CORNER(quad)>0); + } + std::cout << std::endl; +} |