| # Copyright (C) 2020 Arm Limited or its affiliates. All rights reserved. |
| # |
| # SPDX-License-Identifier: Apache-2.0 |
| # |
| # Licensed under the Apache License, Version 2.0 (the License); you may |
| # not use this file except in compliance with the License. |
| # You may obtain a copy of the License at |
| # |
| # www.apache.org/licenses/LICENSE-2.0 |
| # |
| # Unless required by applicable law or agreed to in writing, software |
| # distributed under the License is distributed on an AS IS BASIS, WITHOUT |
| # WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| # See the License for the specific language governing permissions and |
| # limitations under the License. |
| # Description: |
| # Numerical utilities for various types of rounding etc. |
| import math |
| |
| import numpy as np |
| |
| |
| def round_up(a, b): |
| return ((a + b - 1) // b) * b |
| |
| |
| def round_down(a, b): |
| return (a // b) * b |
| |
| |
| def round_up_divide(a, b): |
| return (a + b - 1) // b |
| |
| |
| def round_up_to_int(v): |
| return int(math.ceil(v)) |
| |
| |
| def round_down_to_power_of_two(v): |
| assert v > 0 |
| while v & (v - 1): |
| v &= v - 1 |
| |
| return v |
| |
| |
| def round_up_to_power_of_two(v): |
| return round_down_to_power_of_two(2 * v - 1) |
| |
| |
| def round_down_log2(v): |
| return int(math.floor(np.log2(v))) |
| |
| |
| def round_up_log2(v): |
| return int(math.ceil(np.log2(v))) |
| |
| |
| def round_to_int(v): |
| return np.rint(v).astype(np.int64) |
| |
| |
| # Performs rounding away from zero. |
| # n.b. This is identical to C++11 std::round() |
| def round_away_zero(f): |
| r = -0.5 if (f < 0) else 0.5 |
| return np.trunc(f + r) |
| |
| |
| def quantise_float32(f, scale=1.0, zero_point=0): |
| return zero_point + int(round_away_zero(np.float32(f) / np.float32(scale))) |
| |
| |
| def clamp_tanh(x): |
| if x <= -4: |
| y = -1.0 |
| elif x >= 4: |
| y = 1.0 |
| else: |
| y = math.tanh(x) |
| return y |
| |
| |
| def clamp_sigmoid(x): |
| if x <= -8: |
| y = 0.0 |
| elif x >= 8: |
| y = 1.0 |
| else: |
| y = 1 / (1 + math.exp(-x)) |
| return y |
| |
| |
| def full_shape(dim, shape, fill): |
| """Returns a shape of at least dim dimensions""" |
| return ([fill] * (dim - len(shape))) + shape |
| |
| |
| def overlaps(start1, end1, start2, end2): |
| return start1 < end2 and start2 < end1 |
| |
| |
| def is_integer(num): |
| if isinstance(num, (int, np.integer)): |
| return True |
| if type(num) is float and num.is_integer(): |
| return True |
| if isinstance(num, np.inexact) and np.mod(num, 1) == 0: |
| return True |
| return False |