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Mapping an uint16_t to a value between 32 and 32768 with an exponential scale; with only 64 bytes of constant data
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import numpy | |
import pylab | |
# coeff = numpy.exp(numpy.arange(65536) * numpy.log(1000) / 65536.0) * 32.768 | |
# coarse_table = numpy.round(coeff[::4096]) | |
# fine_table = numpy.round(coeff[:4096+256:256] / 32.768 * 32768) | |
coarse_table = [ 33, 50, 78, 120, 184, 284, 437, 673, 1036, 1596, 2457, 3784, 5827, 8973, 13818, 21279 ] | |
fine_table = [ 32768, 33664, 34585, 35531, 36503, 37501, 38527, 39580, 40663, 41775, 42918, 44092, 45298, 46536, 47809, 49117, 50460 ] | |
def compute_coefficient(value): | |
coarse = coarse_table[(value >> 12) & 0xf] | |
fine_integral = (value >> 8) & 0xf | |
fine_fractional = value & 0xff | |
fine = fine_table[fine_integral] + ((fine_table[fine_integral + 1] - fine_table[fine_integral]) * fine_fractional >> 8) | |
return coarse * fine >> 15 | |
pylab.plot([compute_coefficient(i) for i in range(65536)]) | |
pylab.show() |
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