static int fill_spougecache(size_t A, int accuracy, long eps)
{
int err, n;
mp_float factrl, e, t1, t2, t3, pi;
size_t start;
if ((err =
mpf_init_multi(eps, &factrl, &e, &t1, &t2, &t3, NULL)) != MP_OKAY) {
return err;
}
err = MP_OKAY;
if (spougecache_len < A || spougecache_eps < accuracy) {
//puts("filling spougecache");
if ((err = mpf_const_d(&factrl, 1)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_const_e(&e)) != MP_OKAY) {
goto _ERR;
}
if (spougecache_len != 0) {
spougecache = realloc(spougecache, (A + 1) * sizeof(mp_float));
if (spougecache == NULL) {
return MP_MEM;
}
start = spougecache_len;
} else {
spougecache = malloc((A + 1) * sizeof(mp_float));
if (spougecache == NULL) {
return MP_MEM;
}
start = 1;
if ((err = mpf_init(&pi, eps)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_const_pi(&pi)) != MP_OKAY) {
goto _ERR;
}
pi.exp += 1;
if ((err = mpf_init(&(spougecache[0]), eps)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_sqrt(&pi, &(spougecache[0]))) != MP_OKAY) {
goto _ERR;
}
mpf_clear(&pi);
}
for (n = start; n < (int) A; n++) {
// to avoid the more expensive exp(log(a-n)*(n-0.5))
// TODO: check if exp() is fast enough now
if ((err = mpf_set_int(&t1, (int) (A - n))) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_pow_d(&t1, (int) (n - 1), &t2)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_sqrt(&t1, &t1)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_mul(&t2, &t1, &t2)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_pow_d(&e, (int) (A - n), &t3)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_mul(&t2, &t3, &t2)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_init(&(spougecache[n]), eps)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_div(&t2, &factrl, &(spougecache[n]))) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_set_int(&t1, -n)) != MP_OKAY) {
goto _ERR;
}
if ((err = mpf_mul(&factrl, &t1, &factrl)) != MP_OKAY) {
goto _ERR;
}
}
spougecache_eps = accuracy;
spougecache_len = A;
}
_ERR:
mpf_clear_multi(&factrl, &e, &t1, &t2, &t3, NULL);
return err;
}
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;
}
