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/*
* Copyright (C) 1987-2008 Sun Microsystems, Inc. All Rights Reserved.
* Copyright (C) 2008-2011 Robert Ancell.
*
* This program is free software: you can redistribute it and/or modify it under
* the terms of the GNU General Public License as published by the Free Software
* Foundation, either version 2 of the License, or (at your option) any later
* version. See http://www.gnu.org/copyleft/gpl.html the full text of the
* license.
*/
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <libintl.h>
#include "mp.h"
/* Convert x to radians */
void
convert_to_radians(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
int i;
switch(unit) {
default:
case MP_RADIANS:
mp_set_from_mp(x, z);
return;
case MP_DEGREES:
i = 180;
break;
case MP_GRADIANS:
i = 200;
break;
}
mpfr_t scale;
mpfr_init2(scale, PRECISION);
mpfr_const_pi(scale, MPFR_RNDN);
mpfr_div_si(scale, scale, i, MPFR_RNDN);
mpc_mul_fr(z->num, x->num, scale, MPC_RNDNN);
mpfr_clear(scale);
}
void
convert_from_radians(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
int i;
switch(unit) {
default:
case MP_RADIANS:
mp_set_from_mp(x, z);
return;
case MP_DEGREES:
i = 180;
break;
case MP_GRADIANS:
i = 200;
break;
}
mpfr_t scale;
mpfr_init2(scale, PRECISION);
mpfr_const_pi(scale, MPFR_RNDN);
mpfr_si_div(scale, i, scale, MPFR_RNDN);
mpc_mul_fr(z->num, x->num, scale, MPC_RNDNN);
mpfr_clear(scale);
}
void
mp_get_pi (MPNumber *z)
{
mpfr_const_pi(mpc_realref(z->num), MPFR_RNDN);
mpfr_set_zero(mpc_imagref(z->num), 0);
}
void
mp_sin(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
if (mp_is_complex(x))
mp_set_from_mp(x, z);
else
convert_to_radians(x, unit, z);
mpc_sin(z->num, z->num, MPC_RNDNN);
}
void
mp_cos(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
if (mp_is_complex(x))
mp_set_from_mp(x, z);
else
convert_to_radians(x, unit, z);
mpc_cos(z->num, z->num, MPC_RNDNN);
}
void
mp_tan(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
MPNumber x_radians = mp_new();
MPNumber pi = mp_new();
MPNumber t1 = mp_new();
convert_to_radians(x, unit, &x_radians);
mp_get_pi(&pi);
mp_divide_integer(&pi, 2, &t1);
mp_subtract(&x_radians, &t1, &t1);
mp_divide(&t1, &pi, &t1);
if (mp_is_integer(&t1)) {
/* Translators: Error displayed when tangent value is undefined */
mperr(_("Tangent is undefined for angles that are multiples of π (180°) from π∕2 (90°)"));
mp_set_from_integer(0, z);
return;
}
if (mp_is_complex(x))
mp_set_from_mp(x, z);
else
mp_set_from_mp(&x_radians, z);
mpc_tan(z->num, z->num, MPC_RNDNN);
mp_clear(&x_radians);
mp_clear(&pi);
mp_clear(&t1);
}
void
mp_asin(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
MPNumber x_max = mp_new();
MPNumber x_min = mp_new();
mp_set_from_integer(1, &x_max);
mp_set_from_integer(-1, &x_min);
if (mp_compare(x, &x_max) > 0 || mp_compare(x, &x_min) < 0)
{
/* Translators: Error displayed when inverse sine value is undefined */
mperr(_("Inverse sine is undefined for values outside [-1, 1]"));
mp_set_from_integer(0, z);
return;
}
mpc_asin(z->num, x->num, MPC_RNDNN);
if (!mp_is_complex(z))
convert_from_radians(z, unit, z);
mp_clear(&x_max);
mp_clear(&x_min);
}
void
mp_acos(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
MPNumber x_max = mp_new();
MPNumber x_min = mp_new();
mp_set_from_integer(1, &x_max);
mp_set_from_integer(-1, &x_min);
if (mp_compare(x, &x_max) > 0 || mp_compare(x, &x_min) < 0)
{
/* Translators: Error displayed when inverse sine value is undefined */
mperr(_("Inverse cosine is undefined for values outside [-1, 1]"));
mp_set_from_integer(0, z);
return;
}
mpc_acos(z->num, x->num, MPC_RNDNN);
if (!mp_is_complex(z))
convert_from_radians(z, unit, z);
mp_clear(&x_max);
mp_clear(&x_min);
}
void
mp_atan(const MPNumber *x, MPAngleUnit unit, MPNumber *z)
{
MPNumber i = mp_new();
MPNumber minus_i = mp_new();
mpc_set_si_si(i.num, 0, 1, MPC_RNDNN);
mpc_set_si_si(minus_i.num, 0, -1, MPC_RNDNN);
/* Check x != i and x != -i */
if (mp_is_equal(x, &i) || mp_is_equal(x, &minus_i))
{
/* Translators: Error displayed when inverse sine value is undefined */
mperr(_("Arctangent function is undefined for values i and -i"));
mp_set_from_integer(0, z);
return;
}
mpc_atan(z->num, x->num, MPC_RNDNN);
if (!mp_is_complex(z))
convert_from_radians(z, unit, z);
mp_clear(&i);
mp_clear(&minus_i);
}
void
mp_sinh(const MPNumber *x, MPNumber *z)
{
mpc_sinh(z->num, x->num, MPC_RNDNN);
}
void
mp_cosh(const MPNumber *x, MPNumber *z)
{
mpc_cosh(z->num, x->num, MPC_RNDNN);
}
void
mp_tanh(const MPNumber *x, MPNumber *z)
{
mpc_tanh(z->num, x->num, MPC_RNDNN);
}
void
mp_asinh(const MPNumber *x, MPNumber *z)
{
mpc_asinh(z->num, x->num, MPC_RNDNN);
}
void
mp_acosh(const MPNumber *x, MPNumber *z)
{
MPNumber t = mp_new();
/* Check x >= 1 */
mp_set_from_integer(1, &t);
if (mp_is_less_than(x, &t))
{
/* Translators: Error displayed when inverse hyperbolic cosine value is undefined */
mperr(_("Inverse hyperbolic cosine is undefined for values less than one"));
mp_set_from_integer(0, z);
return;
}
mpc_acosh(z->num, x->num, MPC_RNDNN);
mp_clear(&t);
}
void
mp_atanh(const MPNumber *x, MPNumber *z)
{
MPNumber x_max = mp_new();
MPNumber x_min = mp_new();
mp_set_from_integer(1, &x_max);
mp_set_from_integer(-1, &x_min);
if (mp_compare(x, &x_max) >= 0 || mp_compare(x, &x_min) <= 0)
{
/* Translators: Error displayed when inverse hyperbolic tangent value is undefined */
mperr(_("Inverse hyperbolic tangent is undefined for values outside (-1, 1)"));
mp_set_from_integer(0, z);
return;
}
mpc_atanh(z->num, x->num, MPC_RNDNN);
mp_clear(&x_max);
mp_clear(&x_min);
}
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