# Copyright 2024 The HuggingFace Inc. team. All rights reserved. # # 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 # # http://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. def encode_sign_magnitude(value: int, sign_bit_index: int): """ https://en.wikipedia.org/wiki/Signed_number_representations#Sign%E2%80%93magnitude """ max_magnitude = (1 << sign_bit_index) - 1 magnitude = abs(value) if magnitude > max_magnitude: raise ValueError(f"Magnitude {magnitude} exceeds {max_magnitude} (max for {sign_bit_index=})") direction_bit = 1 if value < 0 else 0 return (direction_bit << sign_bit_index) | magnitude def decode_sign_magnitude(encoded_value: int, sign_bit_index: int): """ https://en.wikipedia.org/wiki/Signed_number_representations#Sign%E2%80%93magnitude """ direction_bit = (encoded_value >> sign_bit_index) & 1 magnitude_mask = (1 << sign_bit_index) - 1 magnitude = encoded_value & magnitude_mask return -magnitude if direction_bit else magnitude def encode_twos_complement(value: int, n_bytes: int): """ https://en.wikipedia.org/wiki/Signed_number_representations#Two%27s_complement """ bit_width = n_bytes * 8 min_val = -(1 << (bit_width - 1)) max_val = (1 << (bit_width - 1)) - 1 if not (min_val <= value <= max_val): raise ValueError( f"Value {value} out of range for {n_bytes}-byte two's complement: [{min_val}, {max_val}]" ) if value >= 0: return value return (1 << bit_width) + value def decode_twos_complement(value: int, n_bytes: int) -> int: """ https://en.wikipedia.org/wiki/Signed_number_representations#Two%27s_complement """ bits = n_bytes * 8 sign_bit = 1 << (bits - 1) if value & sign_bit: value -= 1 << bits return value