/usr/share/pyshared/pgm/utils/maths.py is in python-pgm 0.3.12-2.1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | # -*- mode: python; coding: utf-8 -*-
#
# Pigment Python tools
#
# Copyright © 2006, 2007, 2008 Fluendo Embedded S.L.
#
# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library 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
# Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public
# License along with this library; if not, write to the
# Free Software Foundation, Inc., 59 Temple Place - Suite 330,
# Boston, MA 02111-1307, USA.
"""
Pigment utility module
"""
import math
PI, PI2 = math.pi, math.pi/2.0
def clamp(x, low, high):
"""Clamp a value in the range [low, high].
"""
return max(low, min(high, x))
def lerp(a, b, factor):
"""Linear interpolation applied on a number.
"""
return clamp(factor, 0.0, 1.0) * (b - a) + a
def serp(a, b, factor):
"""Sinusoidal interpolation applied on a number
"""
return math.sin(clamp(factor, 0.0, 1.0)*PI2) * (b - a) + a
def lerp_seq(a, b, factor):
"""Linear interpolation applied on sequence like list or tuple.
"""
diff = map(lambda x,y: x-y, b, a)
mult = map(lambda x: clamp(factor, 0.0, 1.0)*x, diff)
return tuple (map(lambda x,y: x+y, mult, a))
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