ortools.linear_solver.python.model_builder_numbers

helpers methods for the cp_model_builder module on numbers.

 1#!/usr/bin/env python3
 2# Copyright 2010-2025 Google LLC
 3# Licensed under the Apache License, Version 2.0 (the "License");
 4# you may not use this file except in compliance with the License.
 5# You may obtain a copy of the License at
 6#
 7#     http://www.apache.org/licenses/LICENSE-2.0
 8#
 9# Unless required by applicable law or agreed to in writing, software
10# distributed under the License is distributed on an "AS IS" BASIS,
11# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12# See the License for the specific language governing permissions and
13# limitations under the License.
14
15"""helpers methods for the cp_model_builder module on numbers."""
16
17from collections.abc import Sequence
18import numbers
19from typing import Any, Union
20import numpy as np
21import numpy.typing as npt
22
23# Custom types.
24NumberT = Union[numbers.Number, np.number]
25
26
27def is_integral(x: Any) -> bool:
28    """Checks if x has either a number.Integral or a np.integer type."""
29    return isinstance(x, numbers.Integral) or isinstance(x, np.integer)
30
31
32def is_a_number(x: Any) -> bool:
33    """Checks if x has either a number.Number or a np.double type."""
34    return (
35        isinstance(x, numbers.Number)
36        or isinstance(x, np.double)
37        or isinstance(x, np.integer)
38    )
39
40
41def is_zero(x: Any) -> bool:
42    """Checks if the x is 0 or 0.0."""
43    return (is_integral(x) and int(x) == 0) or (is_a_number(x) and float(x) == 0.0)
44
45
46def is_one(x: Any) -> bool:
47    """Checks if x is 1 or 1.0."""
48    return (is_integral(x) and int(x) == 1) or (is_a_number(x) and float(x) == 1.0)
49
50
51def is_minus_one(x: Any) -> bool:
52    """Checks if x is -1 or -1.0."""
53    return (is_integral(x) and int(x) == -1) or (is_a_number(x) and float(x) == -1.0)
54
55
56def assert_is_a_number(x: NumberT) -> np.double:
57    """Asserts that x is a number and converts to a np.double."""
58    if not is_a_number(x):
59        raise TypeError("Not a number: %s" % x)
60    return np.double(x)
61
62
63def assert_is_a_number_array(x: Sequence[NumberT]) -> npt.NDArray[np.double]:
64    """Asserts x is a list of numbers and converts it to np.array(np.double)."""
65    result = np.empty(len(x), dtype=np.double)
66    pos = 0
67    for c in x:
68        result[pos] = assert_is_a_number(c)
69        pos += 1
70    assert pos == len(x)
71    return result
NumberT = numbers.Number | numpy.number
def is_integral(x: Any) -> bool:
28def is_integral(x: Any) -> bool:
29    """Checks if x has either a number.Integral or a np.integer type."""
30    return isinstance(x, numbers.Integral) or isinstance(x, np.integer)

Checks if x has either a number.Integral or a np.integer type.

def is_a_number(x: Any) -> bool:
33def is_a_number(x: Any) -> bool:
34    """Checks if x has either a number.Number or a np.double type."""
35    return (
36        isinstance(x, numbers.Number)
37        or isinstance(x, np.double)
38        or isinstance(x, np.integer)
39    )

Checks if x has either a number.Number or a np.double type.

def is_zero(x: Any) -> bool:
42def is_zero(x: Any) -> bool:
43    """Checks if the x is 0 or 0.0."""
44    return (is_integral(x) and int(x) == 0) or (is_a_number(x) and float(x) == 0.0)

Checks if the x is 0 or 0.0.

def is_one(x: Any) -> bool:
47def is_one(x: Any) -> bool:
48    """Checks if x is 1 or 1.0."""
49    return (is_integral(x) and int(x) == 1) or (is_a_number(x) and float(x) == 1.0)

Checks if x is 1 or 1.0.

def is_minus_one(x: Any) -> bool:
52def is_minus_one(x: Any) -> bool:
53    """Checks if x is -1 or -1.0."""
54    return (is_integral(x) and int(x) == -1) or (is_a_number(x) and float(x) == -1.0)

Checks if x is -1 or -1.0.

def assert_is_a_number(x: numbers.Number | numpy.number) -> numpy.float64:
57def assert_is_a_number(x: NumberT) -> np.double:
58    """Asserts that x is a number and converts to a np.double."""
59    if not is_a_number(x):
60        raise TypeError("Not a number: %s" % x)
61    return np.double(x)

Asserts that x is a number and converts to a np.double.

def assert_is_a_number_array( x: Sequence[numbers.Number | numpy.number]) -> numpy.ndarray[tuple[typing.Any, ...], numpy.dtype[numpy.float64]]:
64def assert_is_a_number_array(x: Sequence[NumberT]) -> npt.NDArray[np.double]:
65    """Asserts x is a list of numbers and converts it to np.array(np.double)."""
66    result = np.empty(len(x), dtype=np.double)
67    pos = 0
68    for c in x:
69        result[pos] = assert_is_a_number(c)
70        pos += 1
71    assert pos == len(x)
72    return result

Asserts x is a list of numbers and converts it to np.array(np.double).