diff options
Diffstat (limited to 'circuitpython/py/modcmath.c')
| -rw-r--r-- | circuitpython/py/modcmath.c | 152 |
1 files changed, 152 insertions, 0 deletions
diff --git a/circuitpython/py/modcmath.c b/circuitpython/py/modcmath.c new file mode 100644 index 0000000..a361ab5 --- /dev/null +++ b/circuitpython/py/modcmath.c @@ -0,0 +1,152 @@ +/* + * This file is part of the MicroPython project, http://micropython.org/ + * + * The MIT License (MIT) + * + * SPDX-FileCopyrightText: Copyright (c) 2013, 2014 Damien P. George + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN + * THE SOFTWARE. + */ + +#include "py/builtin.h" + +#if MICROPY_PY_BUILTINS_FLOAT && MICROPY_PY_BUILTINS_COMPLEX && MICROPY_PY_CMATH + +#include <math.h> + +// phase(z): returns the phase of the number z in the range (-pi, +pi] +STATIC mp_obj_t mp_cmath_phase(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + return mp_obj_new_float(MICROPY_FLOAT_C_FUN(atan2)(imag, real)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_phase_obj, mp_cmath_phase); + +// polar(z): returns the polar form of z as a tuple +STATIC mp_obj_t mp_cmath_polar(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + mp_obj_t tuple[2] = { + mp_obj_new_float(MICROPY_FLOAT_C_FUN(sqrt)(real * real + imag * imag)), + mp_obj_new_float(MICROPY_FLOAT_C_FUN(atan2)(imag, real)), + }; + return mp_obj_new_tuple(2, tuple); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_polar_obj, mp_cmath_polar); + +// rect(r, phi): returns the complex number with modulus r and phase phi +STATIC mp_obj_t mp_cmath_rect(mp_obj_t r_obj, mp_obj_t phi_obj) { + mp_float_t r = mp_obj_get_float(r_obj); + mp_float_t phi = mp_obj_get_float(phi_obj); + return mp_obj_new_complex(r * MICROPY_FLOAT_C_FUN(cos)(phi), r * MICROPY_FLOAT_C_FUN(sin)(phi)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_2(mp_cmath_rect_obj, mp_cmath_rect); + +// exp(z): return the exponential of z +STATIC mp_obj_t mp_cmath_exp(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + mp_float_t exp_real = MICROPY_FLOAT_C_FUN(exp)(real); + return mp_obj_new_complex(exp_real * MICROPY_FLOAT_C_FUN(cos)(imag), exp_real * MICROPY_FLOAT_C_FUN(sin)(imag)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_exp_obj, mp_cmath_exp); + +// log(z): return the natural logarithm of z, with branch cut along the negative real axis +// TODO can take second argument, being the base +STATIC mp_obj_t mp_cmath_log(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + return mp_obj_new_complex(MICROPY_FLOAT_CONST(0.5) * MICROPY_FLOAT_C_FUN(log)(real * real + imag * imag), MICROPY_FLOAT_C_FUN(atan2)(imag, real)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_log_obj, mp_cmath_log); + +#if MICROPY_PY_MATH_SPECIAL_FUNCTIONS +// log10(z): return the base-10 logarithm of z, with branch cut along the negative real axis +STATIC mp_obj_t mp_cmath_log10(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + return mp_obj_new_complex(MICROPY_FLOAT_CONST(0.5) * MICROPY_FLOAT_C_FUN(log10)(real * real + imag * imag), MICROPY_FLOAT_CONST(0.4342944819032518) * MICROPY_FLOAT_C_FUN(atan2)(imag, real)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_log10_obj, mp_cmath_log10); +#endif + +// sqrt(z): return the square-root of z +STATIC mp_obj_t mp_cmath_sqrt(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + mp_float_t sqrt_abs = MICROPY_FLOAT_C_FUN(pow)(real * real + imag * imag, MICROPY_FLOAT_CONST(0.25)); + mp_float_t theta = MICROPY_FLOAT_CONST(0.5) * MICROPY_FLOAT_C_FUN(atan2)(imag, real); + return mp_obj_new_complex(sqrt_abs * MICROPY_FLOAT_C_FUN(cos)(theta), sqrt_abs * MICROPY_FLOAT_C_FUN(sin)(theta)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_sqrt_obj, mp_cmath_sqrt); + +// cos(z): return the cosine of z +STATIC mp_obj_t mp_cmath_cos(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + return mp_obj_new_complex(MICROPY_FLOAT_C_FUN(cos)(real) * MICROPY_FLOAT_C_FUN(cosh)(imag), -MICROPY_FLOAT_C_FUN(sin)(real) * MICROPY_FLOAT_C_FUN(sinh)(imag)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_cos_obj, mp_cmath_cos); + +// sin(z): return the sine of z +STATIC mp_obj_t mp_cmath_sin(mp_obj_t z_obj) { + mp_float_t real, imag; + mp_obj_get_complex(z_obj, &real, &imag); + return mp_obj_new_complex(MICROPY_FLOAT_C_FUN(sin)(real) * MICROPY_FLOAT_C_FUN(cosh)(imag), MICROPY_FLOAT_C_FUN(cos)(real) * MICROPY_FLOAT_C_FUN(sinh)(imag)); +} +STATIC MP_DEFINE_CONST_FUN_OBJ_1(mp_cmath_sin_obj, mp_cmath_sin); + +STATIC const mp_rom_map_elem_t mp_module_cmath_globals_table[] = { + { MP_ROM_QSTR(MP_QSTR___name__), MP_ROM_QSTR(MP_QSTR_cmath) }, + { MP_ROM_QSTR(MP_QSTR_e), mp_const_float_e }, + { MP_ROM_QSTR(MP_QSTR_pi), mp_const_float_pi }, + { MP_ROM_QSTR(MP_QSTR_phase), MP_ROM_PTR(&mp_cmath_phase_obj) }, + { MP_ROM_QSTR(MP_QSTR_polar), MP_ROM_PTR(&mp_cmath_polar_obj) }, + { MP_ROM_QSTR(MP_QSTR_rect), MP_ROM_PTR(&mp_cmath_rect_obj) }, + { MP_ROM_QSTR(MP_QSTR_exp), MP_ROM_PTR(&mp_cmath_exp_obj) }, + { MP_ROM_QSTR(MP_QSTR_log), MP_ROM_PTR(&mp_cmath_log_obj) }, + #if MICROPY_PY_MATH_SPECIAL_FUNCTIONS + { MP_ROM_QSTR(MP_QSTR_log10), MP_ROM_PTR(&mp_cmath_log10_obj) }, + #endif + { MP_ROM_QSTR(MP_QSTR_sqrt), MP_ROM_PTR(&mp_cmath_sqrt_obj) }, + // { MP_ROM_QSTR(MP_QSTR_acos), MP_ROM_PTR(&mp_cmath_acos_obj) }, + // { MP_ROM_QSTR(MP_QSTR_asin), MP_ROM_PTR(&mp_cmath_asin_obj) }, + // { MP_ROM_QSTR(MP_QSTR_atan), MP_ROM_PTR(&mp_cmath_atan_obj) }, + { MP_ROM_QSTR(MP_QSTR_cos), MP_ROM_PTR(&mp_cmath_cos_obj) }, + { MP_ROM_QSTR(MP_QSTR_sin), MP_ROM_PTR(&mp_cmath_sin_obj) }, + // { MP_ROM_QSTR(MP_QSTR_tan), MP_ROM_PTR(&mp_cmath_tan_obj) }, + // { MP_ROM_QSTR(MP_QSTR_acosh), MP_ROM_PTR(&mp_cmath_acosh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_asinh), MP_ROM_PTR(&mp_cmath_asinh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_atanh), MP_ROM_PTR(&mp_cmath_atanh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_cosh), MP_ROM_PTR(&mp_cmath_cosh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_sinh), MP_ROM_PTR(&mp_cmath_sinh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_tanh), MP_ROM_PTR(&mp_cmath_tanh_obj) }, + // { MP_ROM_QSTR(MP_QSTR_isfinite), MP_ROM_PTR(&mp_cmath_isfinite_obj) }, + // { MP_ROM_QSTR(MP_QSTR_isinf), MP_ROM_PTR(&mp_cmath_isinf_obj) }, + // { MP_ROM_QSTR(MP_QSTR_isnan), MP_ROM_PTR(&mp_cmath_isnan_obj) }, +}; + +STATIC MP_DEFINE_CONST_DICT(mp_module_cmath_globals, mp_module_cmath_globals_table); + +const mp_obj_module_t mp_module_cmath = { + .base = { &mp_type_module }, + .globals = (mp_obj_dict_t *)&mp_module_cmath_globals, +}; + +#endif // MICROPY_PY_BUILTINS_FLOAT && MICROPY_PY_CMATH |