/*
atan2(a,b) = atan(a/b);
*/
int mpf_atan2(mp_float * a, mp_float * b, mp_float * c)
{
int err;
// TODO: implement IEEE-754. But be warned: it's a looong list!
if ((err = mpf_div(a, b, c)) != MP_OKAY) {
return err;
}
return mpf_atan(c, c);
}
/* Pi = 4arctan(1) */
int mpf_const_pi(mp_float *a)
{
int err;
if ((err = mpf_const_d(a, 1)) != MP_OKAY) {
return err;
}
if ((err = mpf_atan(a, a)) != MP_OKAY) {
return err;
}
if ((err = mpf_mul_2(a, a)) != MP_OKAY) {
return err;
}
return mpf_mul_2(a, a);
}
int main(void)
{
mp_float a, b, c, d, e;
int err;
mpf_init_multi(100, &a, &b, &c, &d, &e, NULL);
mpf_const_d(&a, 1);
draw(&a);
mpf_const_d(&b, 2);
draw(&b);
mpf_const_d(&c, 3);
draw(&c);
mpf_const_d(&d, 4);
draw(&d);
mpf_add(&b, &c, &e);
printf("2 + 3 == ");
draw(&e);
mpf_sub(&b, &c, &e);
printf("2 - 3 ==");
draw(&e);
mpf_mul(&b, &c, &e);
printf("2 * 3 == ");
draw(&e);
mpf_div(&b, &c, &e);
printf("2 / 3 == ");
draw(&e);
mpf_add_d(&b, 3, &e);
printf("2 + 3 == ");
draw(&e);
mpf_sub_d(&b, 3, &e);
printf("2 - 3 ==");
draw(&e);
mpf_mul_d(&b, 3, &e);
printf("2 * 3 == ");
draw(&e);
mpf_div_d(&b, 3, &e);
printf("2 / 3 == ");
draw(&e);
mpf_const_d(&e, 0);
mpf_add_d(&e, 1, &e);
printf("0 + 1 == ");
draw(&e);
mpf_const_d(&e, 0);
mpf_sub_d(&e, 1, &e);
printf("0 - 1 == ");
draw(&e);
printf("\n");
mpf_invsqrt(&d, &e);
printf("1/sqrt(4) == 1/2 == ");
draw(&e);
mpf_invsqrt(&c, &e);
printf("1/sqrt(3) == ");
draw(&e);
mpf_inv(&a, &e);
printf("1/1 == ");
draw(&e);
mpf_inv(&b, &e);
printf("1/2 == ");
draw(&e);
mpf_inv(&c, &e);
printf("1/3 == ");
draw(&e);
mpf_inv(&d, &e);
printf("1/4 == ");
draw(&e);
printf("\n");
mpf_const_pi(&e);
printf("Pi == ");
draw(&e);
printf("\n");
mpf_const_e(&e);
printf("e == ");
draw(&e);
mpf_exp(&c, &e);
printf("e^3 == ");
draw(&e);
mpf_sqrt(&e, &e);
printf("sqrt(e^3) == ");
draw(&e);
mpf_sqr(&e, &e);
printf("sqrt(e^3)^2 == ");
draw(&e);
printf("\n");
mpf_cos(&a, &e);
printf("cos(1) == ");
draw(&e);
mpf_cos(&b, &e);
printf("cos(2) == ");
draw(&e);
mpf_cos(&c, &e);
printf("cos(3) == ");
draw(&e);
mpf_cos(&d, &e);
printf("cos(4) == ");
draw(&e);
mpf_sin(&a, &e);
printf("sin(1) == ");
draw(&e);
mpf_sin(&b, &e);
printf("sin(2) == ");
draw(&e);
mpf_sin(&c, &e);
printf("sin(3) == ");
draw(&e);
mpf_sin(&d, &e);
printf("sin(4) == ");
draw(&e);
mpf_tan(&a, &e);
printf("tan(1) == ");
draw(&e);
mpf_tan(&b, &e);
printf("tan(2) == ");
draw(&e);
mpf_tan(&c, &e);
printf("tan(3) == ");
draw(&e);
mpf_tan(&d, &e);
printf("tan(4) == ");
draw(&e);
mpf_inv(&a, &e);
mpf_atan(&e, &e);
printf("atan(1/1) == ");
draw(&e);
mpf_inv(&b, &e);
mpf_atan(&e, &e);
printf("atan(1/2) == ");
draw(&e);
mpf_inv(&c, &e);
mpf_atan(&e, &e);
printf("atan(1/3) == ");
draw(&e);
mpf_inv(&d, &e);
mpf_atan(&e, &e);
printf("atan(1/4) == ");
draw(&e);
printf("\n");
#define lntest(x) if ((err = mpf_const_ln_d(&e, x)) != MP_OKAY) { printf("Failed ln(%3d), %d\n", x, err); } else { printf("ln(%3d) == ", x); draw(&e); };
lntest(0);
lntest(1);
lntest(2);
lntest(4);
lntest(8);
lntest(17);
lntest(1000);
lntest(100000);
lntest(250000);
return 0;
}