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/*

* This file is part of the MicroPython project, http://micropython.org/

*

* The MIT License (MIT)

*

* 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,

};

MP_REGISTER_MODULE(MP_QSTR_cmath, mp_module_cmath);

#endif // MICROPY_PY_BUILTINS_FLOAT && MICROPY_PY_BUILTINS_COMPLEX && MICROPY_PY_CMATH