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chore: import upstream snapshot with attribution
2026-07-13 12:41:19 +08:00

80 lines
1.9 KiB
Python

# SPDX-License-Identifier: Apache-2.0
from __future__ import annotations
import numpy as np
def compute_logistic(val: float) -> float:
v = 1.0 / (1.0 + np.exp(-np.abs(val)))
return (1.0 - v) if val < 0 else v
logistic = np.vectorize(compute_logistic)
def compute_softmax_zero(values: np.ndarray) -> np.ndarray:
"""The function modifies the input inplace."""
v_max = values.max()
exp_neg_v_max = np.exp(-v_max)
s = 0
for i, v in enumerate(values):
if v > 0.0000001 or v < -0.0000001:
values[i] = np.exp(v - v_max)
else:
values[i] *= exp_neg_v_max
s += values[i]
if s == 0:
values[:] = 0.5
else:
values[:] /= s
return values
def softmax_zero(values: np.ndarray) -> np.ndarray:
"""Modifications in place."""
if len(values.shape) == 1:
compute_softmax_zero(values)
return values
for row in values:
compute_softmax_zero(row)
return values
def softmax(values: np.ndarray) -> np.ndarray:
"""Modifications in place."""
if len(values.shape) == 2:
v_max = values.max(axis=1, keepdims=1)
values -= v_max
np.exp(values, out=values)
s = values.sum(axis=1, keepdims=1)
values /= s
return values
v_max = values.max()
values[:] = np.exp(values - v_max)
this_sum = values.sum()
values /= this_sum
return values
def erf_inv(x: float) -> float:
sgn = -1.0 if x < 0 else 1.0
x = (1.0 - x) * (1 + x)
if x == 0:
return 0
log = np.log(x)
v = 2.0 / (np.pi * 0.147) + 0.5 * log
v2 = 1.0 / 0.147 * log
v3 = -v + np.sqrt(v * v - v2)
return sgn * np.sqrt(v3)
def compute_probit(val: float) -> float:
return 1.41421356 * erf_inv(val * 2 - 1)
probit = np.vectorize(compute_probit)
def expit(x: np.ndarray) -> np.ndarray:
return (1.0 / (1.0 + np.exp(-x))).astype(x.dtype)