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- #!/usr/bin/python2.5
- #
- # Copyright 2014 Olivier Gillet.
- #
- # Author: Olivier Gillet (ol.gillet@gmail.com)
- #
- # Permission is hereby granted, free of charge, to any person obtaining a copy
- # of this software and associated documentation files (the "Software"), to deal
- # in the Software without restriction, including without limitation the rights
- # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
- # copies of the Software, and to permit persons to whom the Software is
- # furnished to do so, subject to the following conditions:
- #
- # The above copyright notice and this permission notice shall be included in
- # all copies or substantial portions of the Software.
- #
- # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
- # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
- # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
- # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
- # THE SOFTWARE.
- #
- # See http://creativecommons.org/licenses/MIT/ for more information.
- #
- # -----------------------------------------------------------------------------
- #
- # Custom LFO waveshapes.
-
- import numpy
-
-
- def scale(x, min=0, max=255, center=True):
- mx = x.max()
- mn = x.min()
- x = (x - mn) / (mx - mn)
- x = numpy.round(x * (max - min) + min)
- target_type = numpy.uint8
- x[x < numpy.iinfo(target_type).min] = numpy.iinfo(target_type).min
- x[x > numpy.iinfo(target_type).max] = numpy.iinfo(target_type).max
- return x.astype(target_type)
-
-
- custom_lfos = []
-
- t = numpy.arange(0, 256) / 256.0
- ramp = t
- triangle = 2 * t * (t < 0.5) + (2.0 - 2 * t) * (t >= 0.5)
- square = (t < 0.5)
- bipolar_triangle = 2 * triangle - 1.0
- sine = numpy.sin(2 * numpy.pi * t)
-
- # Ramps (5)
- custom_lfos.append(ramp ** 4)
- custom_lfos.append(ramp)
- custom_lfos.append(triangle)
- custom_lfos.append(ramp[::-1])
- custom_lfos.append(ramp[::-1] ** 4)
-
- # Bump
- window = (1.0 - numpy.cos(4 * numpy.pi * t)) / 2.0
- custom_lfos.append(numpy.maximum(sine, 0.0) * window)
-
- custom_lfos.append(square.astype(float))
-
- sine_2 = numpy.sin(2 * numpy.pi * t) + 0.7 * numpy.sin(4 * numpy.pi * t)
- sine_3 = numpy.sin(2 * numpy.pi * t) + 0.7 * numpy.sin(6 * numpy.pi * t)
- sine_5 = numpy.sin(2 * numpy.pi * t) + 0.7 * numpy.sin(10 * numpy.pi * t)
-
- custom_lfos.append(sine ** 3)
- custom_lfos.append(sine)
- custom_lfos.append(sine_2)
- custom_lfos.append(sine_3)
- custom_lfos.append(sine_5)
- triangle_3 = numpy.cumsum(numpy.sign(numpy.diff(sine_3)))
- custom_lfos.append(numpy.array([0] + list(triangle_3)))
-
- for fold_amount in [1.0, 0.5]:
- rotate = (numpy.arange(0, 256) + 128) % 256
- fold = (1 + fold_amount) * bipolar_triangle[rotate]
- fold[fold > 1.0] = 2.0 - fold[fold > 1.0]
- fold[fold < -1.0] = -2.0 - fold[fold < -1.0]
- custom_lfos.append(-fold)
-
- spike = 2 ** (4 * triangle) - 1
- custom_lfos.append(spike)
- numpy.random.seed(999)
- custom_lfos.append(numpy.random.random((256, 1)).ravel())
- custom_lfos.append(sine)
-
- lfo_waveforms = numpy.zeros((257 * len(custom_lfos),), dtype=numpy.uint8)
- import pylab
- for i, values in enumerate(custom_lfos):
- values = scale(values)
- lfo_waveforms[i * 257: i * 257 + 256] = values
- lfo_waveforms[i * 257 + 256] = values[0]
-
- waveforms = [('lfo_waveforms', lfo_waveforms)]
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