unsigned int GetIdentifierValueAsNativeInteger(char *Id)
{
symbol_value_t *s;
s = (symbol_value_t *)symtab->get(symtab, (void *)Id);
if (s) {
return mpf_get_ui(s->value);
}
return 0;
}
void my_out_str_raw(FILE *fp, unsigned long digits, mpf_t f, unsigned long offset)
{
unsigned long d;
if (digits <= LINE_SIZE*NUM_BLOCKS) {
unsigned long cursor = offset % LINE_SIZE;
for (d = 0; d < digits; ) {
mpf_set_prec_raw(f, (int)((digits-d)*BITS_PER_DIGIT+1));
mpf_mul_ui(f, f, UNIT_MOD);
unsigned long i = mpf_get_ui(f);
mpf_sub_ui(f, f, i);
utoa(i, UNIT_SIZE);
*out_ptr++ = ' ';
d += UNIT_SIZE;
cursor += UNIT_SIZE;
if (cursor == LINE_SIZE) {
cursor = 0;
*out_ptr++ = ':';
*out_ptr++ = ' ';
utoa(offset + d, 0);
*out_ptr++ = '\n';
if ((offset + d) % (LINE_SIZE*10) == 0)
flush_out(fp);
}
}
} else {
mpf_t block, mod;
unsigned long num_units = (digits + UNIT_SIZE-1)/UNIT_SIZE;
unsigned long block_size = (num_units + NUM_BLOCKS-1)/NUM_BLOCKS*UNIT_SIZE;
mpf_set_default_prec((int)(block_size*BITS_PER_DIGIT+1));
mpf_init(block);
mpf_init_set_ui(mod, 10);
mpf_pow_ui(mod, mod, block_size);
for (d = 0; d < digits; d += block_size) {
unsigned long size = block_size < digits - d ? block_size : digits - d;
mpf_set_prec_raw(block, (int)(size*BITS_PER_DIGIT+1));
mpf_set(block, f);
my_out_str_raw(fp, size, block, offset+d);
if (block_size < digits - d) {
mpf_set_prec_raw(f, (int)((digits-d)*BITS_PER_DIGIT+1));
mpf_mul(f, f, mod);
mpf_floor(trunk, f);
mpf_sub(f, f, trunk);
}
}
mpf_clear(block);
mpf_clear(mod);
}
}
void my_out_str(FILE *fp, unsigned long base, unsigned long digits, mpf_t f)
{
unsigned long num_units = (digits + UNIT_SIZE-1)/UNIT_SIZE;
unsigned long block_size = (num_units + NUM_BLOCKS-1)/NUM_BLOCKS*UNIT_SIZE;
mpf_init2(trunk, (int)(block_size*BITS_PER_DIGIT+1));
unsigned long i = mpf_get_ui(f);
fprintf(fp, "%lu.\n", i);
mpf_sub_ui(f, f, i);
my_out_str_raw(fp, digits, f, 0);
if (out_ptr != out_buf)
flush_out(fp);
mpf_clear(trunk);
}
// Computes q = exp(2 pi i tau).
static void compute_q(mpc_t q, mpc_t tau) {
mpc_t z0;
mpf_t f0, f1;
mpf_ptr fp0;
pbc_mpui pwr;
mpc_init(z0);
mpf_init(f0);
mpf_init(f1);
//compute z0 = 2 pi i tau
mpc_set(z0, tau);
//first remove integral part of Re(tau)
//since exp(2 pi i) = 1
//it seems |Re(tau)| < 1 anyway?
fp0 = mpc_re(z0);
mpf_trunc(f1, fp0);
mpf_sub(fp0, fp0, f1);
mpc_mul_mpf(z0, z0, pi);
mpc_mul_ui(z0, z0, 2);
mpc_muli(z0, z0);
//compute q = exp(z0);
//first write z0 = A + a + b i
//where A is a (negative) integer
//and a, b are in [-1, 1]
//compute e^A separately
fp0 = mpc_re(z0);
pwr = mpf_get_ui(fp0);
mpf_pow_ui(f0, recipeulere, pwr);
mpf_add_ui(fp0, fp0, pwr);
mpf_exp(f1, mpc_re(z0));
mpf_mul(f0, f1, f0);
mpc_cis(q, mpc_im(z0));
/*
old_mpc_exp(q, z0);
*/
mpc_mul_mpf(q, q, f0);
mpc_clear(z0);
mpf_clear(f0);
mpf_clear(f1);
}
void set_gmp_precision(int precision) {
mpf_t value;
mpf_t log_2;
unsigned int bits_precision_size;
/* Inicializações */
mpf_init(value);
mpf_init(log_2);
/* Calculo do valor da precisao e faço a transformação para numero de bits */
mpf_set_ui(value, (unsigned int) precision);
/* log de 10 na base 2 */
mpf_set_str(log_2,"3.3219280949",10);
mpf_mul(value,value,log_2);
bits_precision_size = mpf_get_ui(value) + 1;
mpf_set_default_prec(bits_precision_size);
/* Debug gmp_printf("###-Precision: %F.f\n", precision_gmp); */
/* Limpeza (frees) */
mpf_clear(log_2);
mpf_clear(value);
}
void
check_limbdata (void)
{
#define M GMP_NUMB_MAX
static const struct {
mp_exp_t exp;
mp_size_t size;
mp_limb_t d[10];
unsigned long want;
} data[] = {
/* in the comments here, a "_" indicates a digit (ie. limb) position not
included in the d data, and therefore zero */
{ 0, 0, { 0 }, 0L }, /* 0 */
{ 1, 1, { 1 }, 1L }, /* 1 */
{ 1, -1, { 1 }, 1L }, /* -1 */
{ 0, 1, { 1 }, 0L }, /* .1 */
{ 0, -1, { 1 }, 0L }, /* -.1 */
{ -1, 1, { 1 }, 0L }, /* ._1 */
{ -1, -1, { 1 }, 0L }, /* -._1 */
{ -999, 1, { 1 }, 0L }, /* .___1 small */
{ MP_EXP_T_MIN, 1, { 1 }, 0L }, /* .____1 very small */
{ 999, 1, { 1 }, 0L }, /* 1____. big */
{ MP_EXP_T_MAX, 1, { 1 }, 0L }, /* 1_____. very big */
{ 1, 2, { 999, 2 }, 2L }, /* 2.9 */
{ 5, 8, { 7, 8, 9, 3, 0, 0, 0, 1 }, 3L }, /* 10003.987 */
{ 2, 2, { M, M }, ULONG_MAX }, /* FF. */
{ 2, 2, { M, M, M }, ULONG_MAX }, /* FF.F */
{ 3, 3, { M, M, M }, ULONG_MAX }, /* FFF. */
#if GMP_NUMB_BITS >= BITS_PER_ULONG
/* normal case, numb bigger than long */
{ 2, 1, { 1 }, 0L }, /* 1_. */
{ 2, 2, { 0, 1 }, 0L }, /* 10. */
{ 2, 2, { 999, 1 }, 999L }, /* 19. */
{ 3, 2, { 999, 1 }, 0L }, /* 19_. */
#else
/* nails case, numb smaller than long */
{ 2, 1, { 1 }, 1L << GMP_NUMB_BITS }, /* 1_. */
{ 3, 1, { 1 }, 0L }, /* 1__. */
{ 2, 2, { 99, 1 }, 99L + (1L << GMP_NUMB_BITS) }, /* 19. */
{ 3, 2, { 1, 99 }, 1L << GMP_NUMB_BITS }, /* 91_. */
{ 3, 3, { 0, 1, 99 }, 1L << GMP_NUMB_BITS }, /* 910. */
#endif
};
mpf_t f;
unsigned long got;
int i;
mp_limb_t buf[20 + numberof(data[i].d)];
for (i = 0; i < numberof (data); i++)
{
refmpn_fill (buf, 10, CNST_LIMB(0xDEADBEEF));
refmpn_copy (buf+10, data[i].d, ABS(data[i].size));
refmpn_fill (buf+10+ABS(data[i].size), 10, CNST_LIMB(0xDEADBEEF));
PTR(f) = buf+10;
EXP(f) = data[i].exp;
SIZ(f) = data[i].size;
PREC(f) = numberof (data[i].d);
MPF_CHECK_FORMAT (f);
got = mpf_get_ui (f);
if (got != data[i].want)
{
printf ("mpf_get_ui wrong at limb data[%d]\n", i);
mpf_trace (" f", f);
mpn_trace (" d", data[i].d, data[i].size);
printf (" size %ld\n", (long) data[i].size);
printf (" exp %ld\n", (long) data[i].exp);
printf (" got %lu (0x%lX)\n", got, got);
printf (" want %lu (0x%lX)\n", data[i].want, data[i].want);
abort();
}
}
}
unsigned long
digit2ulong(Digit *src)
{
return mpf_get_ui(*src);
}