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| 1 | +# Copyright Amazon.com Inc. or its affiliates. All Rights Reserved. |
| 2 | +# |
| 3 | +# Licensed under the Apache License, Version 2.0 (the "License"). You |
| 4 | +# may not use this file except in compliance with the License. A copy of |
| 5 | +# the License is located at |
| 6 | +# |
| 7 | +# http://aws.amazon.com/apache2.0/ |
| 8 | +# |
| 9 | +# or in the "license" file accompanying this file. This file is |
| 10 | +# distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF |
| 11 | +# ANY KIND, either express or implied. See the License for the specific |
| 12 | +# language governing permissions and limitations under the License. |
| 13 | + |
| 14 | +"""Math helper functions for free parameter expressions. |
| 15 | +
|
| 16 | +These helpers let you build symbolic OpenQASM math expressions without importing |
| 17 | +SymPy or touching the internal expression attribute. |
| 18 | +
|
| 19 | +Examples: |
| 20 | + >>> from braket.circuits import Circuit |
| 21 | + >>> from braket.parametric import FreeParameter, arcsin |
| 22 | + >>> alpha = FreeParameter("alpha") |
| 23 | + >>> circuit = Circuit().rx(0, arcsin(alpha)) |
| 24 | + >>> source = circuit.to_ir("OPENQASM").source |
| 25 | + >>> "rx(arcsin(alpha)) q[0];" in source |
| 26 | + True |
| 27 | +""" |
| 28 | + |
| 29 | +from __future__ import annotations |
| 30 | + |
| 31 | +from collections.abc import Callable |
| 32 | +from numbers import Number |
| 33 | + |
| 34 | +import sympy |
| 35 | + |
| 36 | +from braket.parametric.free_parameter_expression import FreeParameterExpression |
| 37 | + |
| 38 | + |
| 39 | +def _expression(value: FreeParameterExpression | Number) -> Number | sympy.Expr: |
| 40 | + return value.expression if isinstance(value, FreeParameterExpression) else value |
| 41 | + |
| 42 | + |
| 43 | +def _wrap( |
| 44 | + function: Callable[..., Number | sympy.Expr], |
| 45 | + *args: FreeParameterExpression | Number, |
| 46 | +) -> FreeParameterExpression: |
| 47 | + sympy_args = [_expression(arg) for arg in args] |
| 48 | + return FreeParameterExpression(function(*sympy_args)) |
| 49 | + |
| 50 | + |
| 51 | +def sin(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 52 | + """Returns the sine of a free parameter expression. |
| 53 | +
|
| 54 | + Args: |
| 55 | + x (FreeParameterExpression | Number): The expression. |
| 56 | +
|
| 57 | + Returns: |
| 58 | + FreeParameterExpression: The symbolic sine expression. |
| 59 | + """ |
| 60 | + return _wrap(sympy.sin, x) |
| 61 | + |
| 62 | + |
| 63 | +def cos(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 64 | + """Returns the cosine of a free parameter expression. |
| 65 | +
|
| 66 | + Args: |
| 67 | + x (FreeParameterExpression | Number): The expression. |
| 68 | +
|
| 69 | + Returns: |
| 70 | + FreeParameterExpression: The symbolic cosine expression. |
| 71 | + """ |
| 72 | + return _wrap(sympy.cos, x) |
| 73 | + |
| 74 | + |
| 75 | +def tan(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 76 | + """Returns the tangent of a free parameter expression. |
| 77 | +
|
| 78 | + Args: |
| 79 | + x (FreeParameterExpression | Number): The expression. |
| 80 | +
|
| 81 | + Returns: |
| 82 | + FreeParameterExpression: The symbolic tangent expression. |
| 83 | + """ |
| 84 | + return _wrap(sympy.tan, x) |
| 85 | + |
| 86 | + |
| 87 | +def arcsin(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 88 | + """Returns the arcsine (inverse sine) of a free parameter expression. |
| 89 | +
|
| 90 | + Args: |
| 91 | + x (FreeParameterExpression | Number): The expression. |
| 92 | +
|
| 93 | + Returns: |
| 94 | + FreeParameterExpression: The symbolic arcsine expression. |
| 95 | + """ |
| 96 | + return _wrap(sympy.asin, x) |
| 97 | + |
| 98 | + |
| 99 | +def arccos(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 100 | + """Returns the arccosine (inverse cosine) of a free parameter expression. |
| 101 | +
|
| 102 | + Args: |
| 103 | + x (FreeParameterExpression | Number): The expression. |
| 104 | +
|
| 105 | + Returns: |
| 106 | + FreeParameterExpression: The symbolic arccosine expression. |
| 107 | + """ |
| 108 | + return _wrap(sympy.acos, x) |
| 109 | + |
| 110 | + |
| 111 | +def arctan(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 112 | + """Returns the arctangent (inverse tangent) of a free parameter expression. |
| 113 | +
|
| 114 | + Args: |
| 115 | + x (FreeParameterExpression | Number): The expression. |
| 116 | +
|
| 117 | + Returns: |
| 118 | + FreeParameterExpression: The symbolic arctangent expression. |
| 119 | + """ |
| 120 | + return _wrap(sympy.atan, x) |
| 121 | + |
| 122 | + |
| 123 | +def exp(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 124 | + """Returns the exponential of a free parameter expression. |
| 125 | +
|
| 126 | + Args: |
| 127 | + x (FreeParameterExpression | Number): The expression. |
| 128 | +
|
| 129 | + Returns: |
| 130 | + FreeParameterExpression: The symbolic exponential expression. |
| 131 | + """ |
| 132 | + return _wrap(sympy.exp, x) |
| 133 | + |
| 134 | + |
| 135 | +def log(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 136 | + """Returns the natural logarithm of a free parameter expression. |
| 137 | +
|
| 138 | + Args: |
| 139 | + x (FreeParameterExpression | Number): The expression. |
| 140 | +
|
| 141 | + Returns: |
| 142 | + FreeParameterExpression: The symbolic natural logarithm expression. |
| 143 | + """ |
| 144 | + return _wrap(sympy.log, x) |
| 145 | + |
| 146 | + |
| 147 | +def sqrt(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 148 | + """Returns the square root of a free parameter expression. |
| 149 | +
|
| 150 | + Args: |
| 151 | + x (FreeParameterExpression | Number): The expression. |
| 152 | +
|
| 153 | + Returns: |
| 154 | + FreeParameterExpression: The symbolic square root expression. |
| 155 | + """ |
| 156 | + return _wrap(sympy.sqrt, x) |
| 157 | + |
| 158 | + |
| 159 | +def mod( |
| 160 | + x: FreeParameterExpression | Number, |
| 161 | + m: FreeParameterExpression | Number, |
| 162 | +) -> FreeParameterExpression: |
| 163 | + """Returns the remainder of a free parameter expression divided by ``m``. |
| 164 | +
|
| 165 | + Args: |
| 166 | + x (FreeParameterExpression | Number): The dividend expression. |
| 167 | + m (FreeParameterExpression | Number): The divisor expression. |
| 168 | +
|
| 169 | + Returns: |
| 170 | + FreeParameterExpression: The symbolic modulo expression. |
| 171 | + """ |
| 172 | + return _wrap(sympy.Mod, x, m) |
| 173 | + |
| 174 | + |
| 175 | +def ceiling(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 176 | + """Returns the ceiling of a free parameter expression. |
| 177 | +
|
| 178 | + Args: |
| 179 | + x (FreeParameterExpression | Number): The expression. |
| 180 | +
|
| 181 | + Returns: |
| 182 | + FreeParameterExpression: The symbolic ceiling expression. |
| 183 | + """ |
| 184 | + return _wrap(sympy.ceiling, x) |
| 185 | + |
| 186 | + |
| 187 | +def floor(x: FreeParameterExpression | Number) -> FreeParameterExpression: |
| 188 | + """Returns the floor of a free parameter expression. |
| 189 | +
|
| 190 | + Args: |
| 191 | + x (FreeParameterExpression | Number): The expression. |
| 192 | +
|
| 193 | + Returns: |
| 194 | + FreeParameterExpression: The symbolic floor expression. |
| 195 | + """ |
| 196 | + return _wrap(sympy.floor, x) |
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