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r"""
This file contains utility functions to convert values
using APoT nonuniform quantization methods.
"""
import math
r"""Converts floating point input into APoT number
based on quantization levels
"""
def float_to_apot(x, levels, indices, alpha):
# clip values based on alpha
if x < -alpha:
return -alpha
elif x > alpha:
return alpha
levels_lst = list(levels)
indices_lst = list(indices)
min_delta = math.inf
best_idx = 0
for level, idx in zip(levels_lst, indices_lst):
cur_delta = abs(level - x)
if cur_delta < min_delta:
min_delta = cur_delta
best_idx = idx
return best_idx
r"""Converts floating point input into
reduced precision floating point value
based on quantization levels
"""
def quant_dequant_util(x, levels, indices):
levels_lst = list(levels)
indices_lst = list(indices)
min_delta = math.inf
best_fp = 0.0
for level, idx in zip(levels_lst, indices_lst):
cur_delta = abs(level - x)
if cur_delta < min_delta:
min_delta = cur_delta
best_fp = level
return best_fp
r"""Converts APoT input into floating point number
based on quantization levels
"""
def apot_to_float(x_apot, levels, indices):
idx = list(indices).index(x_apot)
return levels[idx]
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