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+from _common_decl cimport *
+
+from _cy_rectangle cimport Rect, cy_Rect, wrap_Rect
+from _cy_primitives cimport Point, cy_Point, wrap_Point
+
+
+cdef extern from "2geom/affine.h" namespace "Geom":
+ cdef cppclass Affine:
+
+ Affine(Affine &)
+ Affine()
+ Affine(Coord, Coord, Coord, Coord, Coord, Coord)
+
+ Coord operator[](unsigned int)
+
+ Affine & operator*(Affine &)
+ Affine & operator*(Translate &)
+ Affine & operator*(Scale &)
+ Affine & operator*(Rotate &)
+ Affine & operator*(HShear &)
+ Affine & operator*(VShear &)
+ Affine & operator*(Zoom &)
+
+ bint operator==(Affine &)
+ bint operator!=(Affine &)
+
+ Point xAxis()
+ Point yAxis()
+ Point translation()
+ Coord expansionX()
+ Coord expansionY()
+ Point expansion()
+
+ void setXAxis(Point &)
+ void setYAxis(Point &)
+ void setTranslation(Point &)
+ void setExpansionX(Coord)
+ void setExpansionY(Coord)
+ void setIdentity()
+
+ bint isIdentity(Coord)
+ bint isTranslation(Coord)
+ bint isScale(Coord)
+ bint isUniformScale(Coord)
+ bint isRotation(Coord)
+ bint isHShear(Coord)
+ bint isVShear(Coord)
+ bint isNonzeroTranslation(Coord)
+ bint isNonzeroScale(Coord)
+ bint isNonzeroUniformScale(Coord)
+ bint isNonzeroRotation(Coord)
+ bint isNonzeroHShear(Coord)
+ bint isNonzeroVShear(Coord)
+ bint isZoom(Coord)
+ bint preservesArea(Coord)
+ bint preservesAngles(Coord)
+ bint preservesDistances(Coord)
+ bint flips()
+ bint isSingular(Coord)
+
+ Affine withoutTranslation()
+ Affine inverse()
+
+ Coord det()
+ Coord descrim2()
+ Coord descrim()
+
+ bint are_near(Affine &, Affine &, Coord)
+ Affine a_identity "Geom::Affine::identity" ()
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ Affine reflection(Point &, Point &)
+ #TODO find out how cython __pow__ works
+ Affine pow(Affine &, int)
+ Translate pow(Translate &, int)
+ Scale pow(Scale &, int)
+ Rotate pow(Rotate &, int)
+ HShear pow(HShear &, int)
+ VShear pow(VShear &, int)
+ Zoom pow(Zoom &, int)
+
+cdef class cy_Affine:
+ cdef Affine* thisptr
+
+cdef cy_Affine wrap_Affine(Affine)
+
+#helper functions
+cdef Affine get_Affine(t)
+cdef bint is_transform(t)
+
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass Translate:
+ Translate(Translate &)
+ Translate()
+ Translate(Point &)
+ Translate(Coord, Coord)
+ Coord operator[](Dim2)
+ Coord operator[](unsigned int)
+ Translate & operator*(Translate &)
+ Affine & operator*(Affine &)
+ bint operator==(Translate &)
+ bint operator!=(Translate &)
+
+ Affine operator()
+
+ Point vector()
+ Translate inverse()
+
+ Translate t_identity "Geom::Translate::identity" ()
+
+cdef class cy_Translate:
+ cdef Translate* thisptr
+
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass Scale:
+ Scale(Scale &)
+ Scale()
+ Scale(Point &)
+ Scale(Coord, Coord)
+ Scale(Coord)
+ Coord operator[](Dim2)
+ Scale & operator*(Scale &)
+ Affine & operator*(Affine &)
+ bint operator==(Scale &)
+ bint operator!=(Scale &)
+
+ Affine operator()
+
+ Point vector()
+ Scale inverse()
+ Scale identity()
+
+ Scale s_identity "Geom::Scale::identity" ()
+
+cdef class cy_Scale:
+ cdef Scale* thisptr
+
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass Rotate:
+ Rotate(Rotate &)
+ Rotate()
+ Rotate(Coord)
+ Rotate(Point &)
+ Rotate(Coord, Coord)
+ Point vector()
+
+ Coord operator[](Dim2)
+ Coord operator[](unsigned int)
+ Rotate & operator*(Rotate &)
+ Affine & operator*(Affine &)
+ bint operator==(Rotate &)
+ bint operator!=(Rotate &)
+
+ Affine operator()
+ Rotate inverse()
+
+ Rotate r_identity "Geom::Rotate::identity" ()
+
+cdef extern from "2geom/transforms.h" namespace "Geom::Rotate":
+ Rotate from_degrees(Coord)
+
+
+cdef class cy_Rotate:
+ cdef Rotate* thisptr
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass VShear:
+ VShear(VShear &)
+ VShear(Coord)
+ Coord factor()
+ void setFactor(Coord)
+
+ VShear &operator*(VShear)
+ Affine & operator*(Affine &)
+ bint operator==(VShear &)
+ bint operator!=(VShear &)
+ Affine operator()
+
+ VShear inverse()
+
+ VShear vs_identity "Geom::VShear::identity"()
+
+cdef class cy_VShear:
+ cdef VShear* thisptr
+
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass HShear:
+ HShear(HShear &)
+ HShear(Coord)
+ Coord factor()
+ void setFactor(Coord)
+ HShear &operator*(HShear)
+ Affine & operator*(Affine &)
+ bint operator==(HShear &)
+ bint operator!=(HShear &)
+ Affine operator()
+
+ HShear inverse()
+
+ HShear hs_identity "Geom::HShear::identity"()
+
+cdef class cy_HShear:
+ cdef HShear* thisptr
+
+
+cdef extern from "2geom/transforms.h" namespace "Geom":
+ cdef cppclass Zoom:
+ Zoom(Zoom &)
+ Zoom(Coord)
+ Zoom(Translate &)
+ Zoom(Coord, Translate &)
+
+ Zoom & operator*(Zoom &)
+ Affine & operator*(Affine &)
+ bint operator==(Zoom &)
+ bint operator!=(Zoom &)
+
+ Affine operator()
+
+ Coord scale()
+ void setScale(Coord)
+ Point translation()
+ void setTranslation(Point &)
+
+ Zoom inverse()
+
+ Zoom()
+
+ Zoom z_identity "Geom::Zoom::identity" ()
+
+cdef extern from "2geom/transforms.h" namespace "Geom::Zoom":
+ Zoom map_rect(Rect &, Rect &)
+
+cdef class cy_Zoom:
+ cdef Zoom* thisptr
+
+
+cdef extern from "2geom/affine.h" namespace "Geom":
+ cdef cppclass Eigen:
+ Point *vectors
+ double *values
+ Eigen(Affine &)
+ Eigen(double[2][2])