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# -*- encoding: utf-8 -*-
#
#
# Copyright (C) 2002-2011 Jörg Lehmann <joergl@users.sourceforge.net>
# Copyright (C) 2002-2011 André Wobst <wobsta@users.sourceforge.net>
#
# This file is part of PyX (http://pyx.sourceforge.net/).
#
# PyX is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# PyX is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with PyX; if not, write to the Free Software
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
import math
from . import attr, baseclasses, unit
# some helper routines
def _rmatrix(angle):
phi = math.pi*angle/180.0
return ((math.cos(phi), -math.sin(phi)),
(math.sin(phi), math.cos(phi)))
def _rvector(angle, x, y):
phi = math.pi*angle/180.0
return ((1-math.cos(phi))*x + math.sin(phi) *y,
-math.sin(phi) *x + (1-math.cos(phi))*y)
def _mmatrix(angle):
phi = math.pi*angle/180.0
return ( (math.cos(phi)*math.cos(phi)-math.sin(phi)*math.sin(phi),
-2*math.sin(phi)*math.cos(phi) ),
(-2*math.sin(phi)*math.cos(phi),
math.sin(phi)*math.sin(phi)-math.cos(phi)*math.cos(phi) ) )
# trafo: affine transformations
class trafo_pt(baseclasses.deformer):
"""affine transformation (coordinates in constructor in pts)
Note that though the coordinates in the constructor are in
pts (which is useful for internal purposes), all other
methods only accept units in the standard user notation.
"""
def __init__(self, matrix=((1, 0), (0, 1)), vector=(0, 0)):
"""Return trafo with given transformation matrix and vector.
"""
self.matrix = matrix
self.vector = vector
def __mul__(self, other):
if isinstance(other, trafo_pt):
matrix = ( ( self.matrix[0][0]*other.matrix[0][0] +
self.matrix[0][1]*other.matrix[1][0],
self.matrix[0][0]*other.matrix[0][1] +
self.matrix[0][1]*other.matrix[1][1] ),
( self.matrix[1][0]*other.matrix[0][0] +
self.matrix[1][1]*other.matrix[1][0],
self.matrix[1][0]*other.matrix[0][1] +
self.matrix[1][1]*other.matrix[1][1] )
)
vector = ( self.matrix[0][0]*other.vector[0] +
self.matrix[0][1]*other.vector[1] +
self.vector[0],
self.matrix[1][0]*other.vector[0] +
self.matrix[1][1]*other.vector[1] +
self.vector[1] )
return trafo_pt(matrix=matrix, vector=vector)
else:
raise NotImplementedError("can only multiply two transformations")
def __str__(self):
return "[%f %f %f %f %f %f]" % \
( self.matrix[0][0], self.matrix[1][0],
self.matrix[0][1], self.matrix[1][1],
self.vector[0], self.vector[1] )
def processPS(self, file, writer, context, registry):
file.write("[%f %f %f %f %f %f] concat\n" % \
( self.matrix[0][0], self.matrix[1][0],
self.matrix[0][1], self.matrix[1][1],
self.vector[0], self.vector[1] ) )
def processPDF(self, file, writer, context, registry):
file.write("%f %f %f %f %f %f cm\n" % \
( self.matrix[0][0], self.matrix[1][0],
self.matrix[0][1], self.matrix[1][1],
self.vector[0], self.vector[1] ) )
def processSVGattrs(self, attrs, writer, context, registry):
assert "transform" not in attrs
attrs["transform"] = "matrix(%f,%f,%f,%f,%f,%f)" % \
( self.matrix[0][0], -self.matrix[1][0],
-self.matrix[0][1], self.matrix[1][1],
self.vector[0], -self.vector[1] )
def apply_pt(self, x_pt, y_pt):
"""apply transformation to point (x_pt, y_pt) in pts"""
return ( self.matrix[0][0]*x_pt + self.matrix[0][1]*y_pt + self.vector[0],
self.matrix[1][0]*x_pt + self.matrix[1][1]*y_pt + self.vector[1] )
def apply(self, x, y):
# for the transformation we have to convert to points
tx, ty = self.apply_pt(unit.topt(x), unit.topt(y))
return tx * unit.t_pt, ty * unit.t_pt
def deform(self, path):
return path.transformed(self)
def inverse(self):
det = 1.0*(self.matrix[0][0]*self.matrix[1][1] - self.matrix[0][1]*self.matrix[1][0])
matrix = ( ( self.matrix[1][1]/det, -self.matrix[0][1]/det),
(-self.matrix[1][0]/det, self.matrix[0][0]/det) )
return ( trafo_pt(matrix=matrix) *
trafo_pt(vector=(-self.vector[0], -self.vector[1])) )
def mirrored(self, angle):
return mirror(angle) * self
def rotated_pt(self, angle, x=None, y=None):
return rotate_pt(angle, x, y) * self
def rotated(self, angle, x=None, y=None):
return rotate(angle, x, y) * self
def scaled_pt(self, sx, sy=None, x=None, y=None):
return scale_pt(sx, sy, x, y) * self
def scaled(self, sx, sy=None, x=None, y=None):
return scale(sx, sy, x, y) * self
def slanted_pt(self, a, angle=0, x=None, y=None):
return slant_pt(a, angle, x, y) * self
def slanted(self, a, angle=0, x=None, y=None):
return slant(a, angle, x, y) * self
def translated_pt(self, x, y):
return translate_pt(x, y) * self
def translated(self, x, y):
return translate(x, y) * self
class trafo(trafo_pt):
"""affine transformation"""
def __init__(self, matrix=((1,0), (0,1)), vector=(0, 0)):
trafo_pt.__init__(self,
matrix, (unit.topt(vector[0]), unit.topt(vector[1])))
#
# some standard transformations
#
identity = trafo()
class mirror(trafo):
def __init__(self, angle=0):
trafo.__init__(self, matrix=_mmatrix(angle))
class rotate_pt(trafo_pt):
def __init__(self, angle, x=None, y=None):
vector = 0, 0
if x is not None or y is not None:
if x is None or y is None:
raise TrafoException("either specify both x and y or none of them")
vector=_rvector(angle, x, y)
trafo_pt.__init__(self, matrix=_rmatrix(angle), vector=vector)
class rotate(trafo_pt):
def __init__(self, angle, x=None, y=None):
vector = 0, 0
if x is not None or y is not None:
if x is None or y is None:
raise TrafoException("either specify both x and y or none of them")
vector=_rvector(angle, unit.topt(x), unit.topt(y))
trafo_pt.__init__(self, matrix=_rmatrix(angle), vector=vector)
class scale_pt(trafo_pt):
def __init__(self, sx, sy=None, x=None, y=None):
if sy is None:
sy = sx
vector = 0, 0
if x is not None or y is not None:
if x is None or y is None:
raise TrafoException("either specify both x and y or none of them")
vector = (1-sx)*x, (1-sy)*y
trafo_pt.__init__(self, matrix=((sx, 0), (0, sy)), vector=vector)
class scale(trafo):
def __init__(self, sx, sy=None, x=None, y=None):
if sy is None:
sy = sx
vector = 0, 0
if x is not None or y is not None:
if x is None or y is None:
raise TrafoException("either specify both x and y or none of them")
vector = (1-sx)*x, (1-sy)*y
trafo.__init__(self, matrix=((sx, 0), (0, sy)), vector=vector)
class slant_pt(trafo_pt):
def __init__(self, a, angle=0, x=None, y=None):
t = ( rotate_pt(-angle, x, y) *
trafo(matrix=((1, a), (0, 1))) *
rotate_pt(angle, x, y) )
trafo_pt.__init__(self, t.matrix, t.vector)
class slant(trafo):
def __init__(self, a, angle=0, x=None, y=None):
t = ( rotate(-angle, x, y) *
trafo(matrix=((1, a), (0, 1))) *
rotate(angle, x, y) )
trafo.__init__(self, t.matrix, t.vector)
class translate_pt(trafo_pt):
def __init__(self, x, y):
trafo_pt.__init__(self, vector=(x, y))
class translate(trafo):
def __init__(self, x, y):
trafo.__init__(self, vector=(x, y))
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