477 lines
15 KiB
C
477 lines
15 KiB
C
/*
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* This file is part of the MicroPython project, http://micropython.org/
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*
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* The MIT License (MIT)
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*
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* SPDX-FileCopyrightText: Copyright (c) 2013, 2014 Damien P. George
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* Copyright (c) 2017 Michael McWethy
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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#include "py/builtin.h"
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#include "py/runtime.h"
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#include "supervisor/shared/translate.h"
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#if MICROPY_PY_BUILTINS_FLOAT
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#include <math.h>
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// M_PI is not part of the math.h standard and may not be defined
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// And by defining our own we can ensure it uses the correct const format.
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#define MP_PI MICROPY_FLOAT_CONST(3.14159265358979323846)
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//| """mathematical functions
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//|
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//| The `math` module provides some basic mathematical functions for
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//| working with floating-point numbers."""
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//|
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STATIC NORETURN void math_error(void) {
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mp_raise_ValueError(translate("math domain error"));
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}
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#define MATH_FUN_1(py_name, c_name) \
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STATIC mp_obj_t mp_math_##py_name(mp_obj_t x_obj) { return mp_obj_new_float(MICROPY_FLOAT_C_FUN(c_name)(mp_obj_get_float(x_obj))); } \
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_##py_name##_obj, mp_math_##py_name);
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#define MATH_FUN_2(py_name, c_name) \
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STATIC mp_obj_t mp_math_##py_name(mp_obj_t x_obj, mp_obj_t y_obj) { return mp_obj_new_float(MICROPY_FLOAT_C_FUN(c_name)(mp_obj_get_float(x_obj), mp_obj_get_float(y_obj))); } \
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STATIC MP_DEFINE_CONST_FUN_OBJ_2(mp_math_##py_name##_obj, mp_math_##py_name);
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#define MATH_FUN_1_TO_BOOL(py_name, c_name) \
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STATIC mp_obj_t mp_math_##py_name(mp_obj_t x_obj) { return mp_obj_new_bool(c_name(mp_obj_get_float(x_obj))); } \
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_##py_name##_obj, mp_math_##py_name);
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#define MATH_FUN_1_TO_INT(py_name, c_name) \
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STATIC mp_obj_t mp_math_##py_name(mp_obj_t x_obj) { return mp_obj_new_int_from_float(MICROPY_FLOAT_C_FUN(c_name)(mp_obj_get_float(x_obj))); } \
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_##py_name##_obj, mp_math_##py_name);
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#define MATH_FUN_1_ERRCOND(py_name, c_name, error_condition) \
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STATIC mp_obj_t mp_math_##py_name(mp_obj_t x_obj) { \
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mp_float_t x = mp_obj_get_float(x_obj); \
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if (error_condition) { \
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math_error(); \
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} \
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return mp_obj_new_float(MICROPY_FLOAT_C_FUN(c_name)(x)); \
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} \
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_##py_name##_obj, mp_math_##py_name);
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#ifdef MP_NEED_LOG2
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// 1.442695040888963407354163704 is 1/_M_LN2
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#define log2(x) (log(x) * 1.442695040888963407354163704)
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#endif
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//| e: float
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//| """base of the natural logarithm"""
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//|
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//| pi: float
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//| """the ratio of a circle's circumference to its diameter"""
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//|
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//| def acos(x: float) -> float:
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//| """Return the inverse cosine of ``x``."""
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//| ...
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//|
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//| def asin(x: float) -> float:
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//| """Return the inverse sine of ``x``."""
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//| ...
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//|
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//| def atan(x: float) -> float:
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//| """Return the inverse tangent of ``x``."""
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//| ...
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//|
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//| def atan2(y: float, x: float) -> float:
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//| """Return the principal value of the inverse tangent of ``y/x``."""
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//| ...
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//|
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//| def ceil(x: float) -> int:
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//| """Return an integer, being ``x`` rounded towards positive infinity."""
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//| ...
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//|
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//| def copysign(x: float, y: float) -> float:
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//| """Return ``x`` with the sign of ``y``."""
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//| ...
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//|
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//| def cos(x: float) -> float:
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//| """Return the cosine of ``x``."""
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//| ...
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//|
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//| def degrees(x: float) -> float:
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//| """Return radians ``x`` converted to degrees."""
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//| ...
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//|
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//| def exp(x: float) -> float:
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//| """Return the exponential of ``x``."""
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//| ...
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//|
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//| def fabs(x: float) -> float:
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//| """Return the absolute value of ``x``."""
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//| ...
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//|
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//| def floor(x: float) -> int:
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//| """Return an integer, being ``x`` rounded towards negative infinity."""
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//| ...
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//|
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//| def fmod(x: float, y: float) -> int:
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//| """Return the remainder of ``x/y``."""
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//| ...
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//|
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//| def frexp(x: float) -> Tuple[int, int]:
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//| """Decomposes a floating-point number into its mantissa and exponent.
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//| The returned value is the tuple ``(m, e)`` such that ``x == m * 2**e``
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//| exactly. If ``x == 0`` then the function returns ``(0.0, 0)``, otherwise
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//| the relation ``0.5 <= abs(m) < 1`` holds."""
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//| ...
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//|
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//| def isfinite(x: float) -> bool:
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//| """Return ``True`` if ``x`` is finite."""
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//| ...
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//|
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//| def isinf(x: float) -> bool:
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//| """Return ``True`` if ``x`` is infinite."""
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//| ...
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//|
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//| def isnan(x: float) -> bool:
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//| """Return ``True`` if ``x`` is not-a-number"""
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//| ...
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//|
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//| def ldexp(x: float, exp: float) -> float:
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//| """Return ``x * (2**exp)``."""
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//| ...
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//|
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//| def log(x: float, base: float = e) -> float:
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//| """Return the logarithm of x to the given base. If base is not specified,
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//| returns the natural logarithm (base e) of x"""
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//| ...
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//|
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//| def modf(x: float) -> Tuple[float, float]:
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//| """Return a tuple of two floats, being the fractional and integral parts of
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//| ``x``. Both return values have the same sign as ``x``."""
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//| ...
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//|
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//| def pow(x: float, y: float) -> float:
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//| """Returns ``x`` to the power of ``y``."""
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//|
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//| def radians(x: float) -> float:
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//| """Return degrees ``x`` converted to radians."""
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//|
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//| def sin(x: float) -> float:
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//| """Return the sine of ``x``."""
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//| ...
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//|
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//| def sqrt(x: float) -> float:
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//| """Returns the square root of ``x``."""
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//| ...
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//|
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//| def tan(x: float) -> float:
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//| """Return the tangent of ``x``."""
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//| ...
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//|
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//| def trunc(x: float) -> int:
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//| """Return an integer, being ``x`` rounded towards 0."""
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//| ...
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//|
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MATH_FUN_1_ERRCOND(sqrt, sqrt, (x < (mp_float_t)0.0))
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MATH_FUN_2(pow, pow)
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MATH_FUN_1(exp, exp)
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#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS
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//| def expm1(x: float) -> float:
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//| """Return ``exp(x) - 1``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(expm1, expm1)
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//| def log2(x: float) -> float:
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//| """Return the base-2 logarithm of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1_ERRCOND(log2, log2, (x <= (mp_float_t)0.0))
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//| def log10(x: float) -> float:
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//| """Return the base-10 logarithm of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1_ERRCOND(log10, log10, (x <= (mp_float_t)0.0))
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//| def cosh(x: float) -> float:
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//| """Return the hyperbolic cosine of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(cosh, cosh)
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//| def sinh(x: float) -> float:
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//| """Return the hyperbolic sine of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(sinh, sinh)
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//| def tanh(x: float) -> float:
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//| """Return the hyperbolic tangent of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(tanh, tanh)
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//| def acosh(x: float) -> float:
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//| """Return the inverse hyperbolic cosine of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(acosh, acosh)
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//| def asinh(x: float) -> float:
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//| """Return the inverse hyperbolic sine of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(asinh, asinh)
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//| def atanh(x: float) -> float:
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//| """Return the inverse hyperbolic tangent of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(atanh, atanh)
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#endif
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MATH_FUN_1(cos, cos)
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MATH_FUN_1(sin, sin)
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MATH_FUN_1(tan, tan)
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MATH_FUN_1(acos, acos)
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MATH_FUN_1(asin, asin)
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MATH_FUN_1(atan, atan)
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MATH_FUN_2(atan2, atan2)
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MATH_FUN_1_TO_INT(ceil, ceil)
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MATH_FUN_2(copysign, copysign)
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MATH_FUN_1(fabs, fabs)
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MATH_FUN_1_TO_INT(floor, floor) // TODO: delegate to x.__floor__() if x is not a float
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MATH_FUN_2(fmod, fmod)
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MATH_FUN_1_TO_BOOL(isfinite, isfinite)
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MATH_FUN_1_TO_BOOL(isinf, isinf)
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MATH_FUN_1_TO_BOOL(isnan, isnan)
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MATH_FUN_1_TO_INT(trunc, trunc)
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MATH_FUN_2(ldexp, ldexp)
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#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS
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//| def erf(x: float) -> float:
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//| """Return the error function of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(erf, erf)
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//| def erfc(x: float) -> float:
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//| """Return the complementary error function of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(erfc, erfc)
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//| def gamma(x: float) -> float:
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//| """Return the gamma function of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(gamma, tgamma)
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//| def lgamma(x: float) -> float:
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//| """Return the natural logarithm of the gamma function of ``x``.
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//|
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//| May not be available on some boards.
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//| """
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//| ...
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//|
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MATH_FUN_1(lgamma, lgamma)
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#endif
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// TODO: factorial, fsum
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// Function that takes a variable number of arguments
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// log(x[, base])
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STATIC mp_obj_t mp_math_log(size_t n_args, const mp_obj_t *args) {
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mp_float_t x = mp_obj_get_float(args[0]);
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if (x <= (mp_float_t)0.0) {
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math_error();
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}
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mp_float_t l = MICROPY_FLOAT_C_FUN(log)(x);
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if (n_args == 1) {
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return mp_obj_new_float(l);
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} else {
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mp_float_t base = mp_obj_get_float(args[1]);
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if (base <= (mp_float_t)0.0) {
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math_error();
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// Turn off warning when comparing exactly with integral value 1.0
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#pragma GCC diagnostic push
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#pragma GCC diagnostic ignored "-Wfloat-equal"
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} else if (base == (mp_float_t)1.0) {
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#pragma GCC diagnostic pop
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mp_raise_msg(&mp_type_ZeroDivisionError, translate("division by zero"));
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}
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return mp_obj_new_float(l / MICROPY_FLOAT_C_FUN(log)(base));
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}
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}
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STATIC MP_DEFINE_CONST_FUN_OBJ_VAR_BETWEEN(mp_math_log_obj, 1, 2, mp_math_log);
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// Functions that return a tuple
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STATIC mp_obj_t mp_math_frexp(mp_obj_t x_obj) {
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int int_exponent = 0;
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mp_float_t significand = MICROPY_FLOAT_C_FUN(frexp)(mp_obj_get_float(x_obj), &int_exponent);
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mp_obj_t tuple[2];
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tuple[0] = mp_obj_new_float(significand);
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tuple[1] = mp_obj_new_int(int_exponent);
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return mp_obj_new_tuple(2, tuple);
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}
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_frexp_obj, mp_math_frexp);
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STATIC mp_obj_t mp_math_modf(mp_obj_t x_obj) {
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mp_float_t int_part = 0.0;
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mp_float_t fractional_part = MICROPY_FLOAT_C_FUN(modf)(mp_obj_get_float(x_obj), &int_part);
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mp_obj_t tuple[2];
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tuple[0] = mp_obj_new_float(fractional_part);
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tuple[1] = mp_obj_new_float(int_part);
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return mp_obj_new_tuple(2, tuple);
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}
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_modf_obj, mp_math_modf);
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// Angular conversions
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STATIC mp_obj_t mp_math_radians(mp_obj_t x_obj) {
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return mp_obj_new_float(mp_obj_get_float(x_obj) * (MP_PI / MICROPY_FLOAT_CONST(180.0)));
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}
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_radians_obj, mp_math_radians);
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STATIC mp_obj_t mp_math_degrees(mp_obj_t x_obj) {
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return mp_obj_new_float(mp_obj_get_float(x_obj) * (MICROPY_FLOAT_CONST(180.0) / MP_PI));
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}
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STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_math_degrees_obj, mp_math_degrees);
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STATIC const mp_rom_map_elem_t mp_module_math_globals_table[] = {
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{ MP_ROM_QSTR(MP_QSTR___name__), MP_ROM_QSTR(MP_QSTR_math) },
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{ MP_ROM_QSTR(MP_QSTR_e), mp_const_float_e },
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{ MP_ROM_QSTR(MP_QSTR_pi), mp_const_float_pi },
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{ MP_ROM_QSTR(MP_QSTR_sqrt), MP_ROM_PTR(&mp_math_sqrt_obj) },
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{ MP_ROM_QSTR(MP_QSTR_pow), MP_ROM_PTR(&mp_math_pow_obj) },
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{ MP_ROM_QSTR(MP_QSTR_exp), MP_ROM_PTR(&mp_math_exp_obj) },
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#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS
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{ MP_ROM_QSTR(MP_QSTR_expm1), MP_ROM_PTR(&mp_math_expm1_obj) },
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#endif
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{ MP_ROM_QSTR(MP_QSTR_log), MP_ROM_PTR(&mp_math_log_obj) },
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#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS
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{ MP_ROM_QSTR(MP_QSTR_log2), MP_ROM_PTR(&mp_math_log2_obj) },
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{ MP_ROM_QSTR(MP_QSTR_log10), MP_ROM_PTR(&mp_math_log10_obj) },
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{ MP_ROM_QSTR(MP_QSTR_cosh), MP_ROM_PTR(&mp_math_cosh_obj) },
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{ MP_ROM_QSTR(MP_QSTR_sinh), MP_ROM_PTR(&mp_math_sinh_obj) },
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{ MP_ROM_QSTR(MP_QSTR_tanh), MP_ROM_PTR(&mp_math_tanh_obj) },
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{ MP_ROM_QSTR(MP_QSTR_acosh), MP_ROM_PTR(&mp_math_acosh_obj) },
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{ MP_ROM_QSTR(MP_QSTR_asinh), MP_ROM_PTR(&mp_math_asinh_obj) },
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{ MP_ROM_QSTR(MP_QSTR_atanh), MP_ROM_PTR(&mp_math_atanh_obj) },
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#endif
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{ MP_ROM_QSTR(MP_QSTR_cos), MP_ROM_PTR(&mp_math_cos_obj) },
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{ MP_ROM_QSTR(MP_QSTR_sin), MP_ROM_PTR(&mp_math_sin_obj) },
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{ MP_ROM_QSTR(MP_QSTR_tan), MP_ROM_PTR(&mp_math_tan_obj) },
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{ MP_ROM_QSTR(MP_QSTR_acos), MP_ROM_PTR(&mp_math_acos_obj) },
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{ MP_ROM_QSTR(MP_QSTR_asin), MP_ROM_PTR(&mp_math_asin_obj) },
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{ MP_ROM_QSTR(MP_QSTR_atan), MP_ROM_PTR(&mp_math_atan_obj) },
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{ MP_ROM_QSTR(MP_QSTR_atan2), MP_ROM_PTR(&mp_math_atan2_obj) },
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{ MP_ROM_QSTR(MP_QSTR_ceil), MP_ROM_PTR(&mp_math_ceil_obj) },
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{ MP_ROM_QSTR(MP_QSTR_copysign), MP_ROM_PTR(&mp_math_copysign_obj) },
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{ MP_ROM_QSTR(MP_QSTR_fabs), MP_ROM_PTR(&mp_math_fabs_obj) },
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{ MP_ROM_QSTR(MP_QSTR_floor), MP_ROM_PTR(&mp_math_floor_obj) },
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{ MP_ROM_QSTR(MP_QSTR_fmod), MP_ROM_PTR(&mp_math_fmod_obj) },
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{ MP_ROM_QSTR(MP_QSTR_frexp), MP_ROM_PTR(&mp_math_frexp_obj) },
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{ MP_ROM_QSTR(MP_QSTR_ldexp), MP_ROM_PTR(&mp_math_ldexp_obj) },
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{ MP_ROM_QSTR(MP_QSTR_modf), MP_ROM_PTR(&mp_math_modf_obj) },
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{ MP_ROM_QSTR(MP_QSTR_isfinite), MP_ROM_PTR(&mp_math_isfinite_obj) },
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{ MP_ROM_QSTR(MP_QSTR_isinf), MP_ROM_PTR(&mp_math_isinf_obj) },
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{ MP_ROM_QSTR(MP_QSTR_isnan), MP_ROM_PTR(&mp_math_isnan_obj) },
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{ MP_ROM_QSTR(MP_QSTR_trunc), MP_ROM_PTR(&mp_math_trunc_obj) },
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{ MP_ROM_QSTR(MP_QSTR_radians), MP_ROM_PTR(&mp_math_radians_obj) },
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{ MP_ROM_QSTR(MP_QSTR_degrees), MP_ROM_PTR(&mp_math_degrees_obj) },
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#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS
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{ MP_ROM_QSTR(MP_QSTR_erf), MP_ROM_PTR(&mp_math_erf_obj) },
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{ MP_ROM_QSTR(MP_QSTR_erfc), MP_ROM_PTR(&mp_math_erfc_obj) },
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{ MP_ROM_QSTR(MP_QSTR_gamma), MP_ROM_PTR(&mp_math_gamma_obj) },
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{ MP_ROM_QSTR(MP_QSTR_lgamma), MP_ROM_PTR(&mp_math_lgamma_obj) },
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#endif
|
|
};
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|
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STATIC MP_DEFINE_CONST_DICT(mp_module_math_globals, mp_module_math_globals_table);
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|
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const mp_obj_module_t math_module = {
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.base = { &mp_type_module },
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.globals = (mp_obj_dict_t *)&mp_module_math_globals,
|
|
};
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|
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MP_REGISTER_MODULE(MP_QSTR_math, math_module, CIRCUITPY_MATH);
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#endif // MICROPY_PY_BUILTINS_FLOAT
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