/**
* Convert a Ruby function value into a long double
*
* Parameters::
* * *iValBD* (_Rational_): The value to convert
* Return::
* * <em>long double</em>: The equivalent long double
*/
inline long double value2ld(
VALUE iValBD) {
long double rResult;
mpf_t lDenominator;
mpf_init_set_str(lDenominator, RSTRING_PTR(rb_funcall(rb_funcall(iValBD, gID_denominator, 0), gID_to_s, 0)), 10);
mpf_t lDivResult;
mpf_init_set_str(lDivResult, RSTRING_PTR(rb_funcall(rb_funcall(iValBD, gID_numerator, 0), gID_to_s, 0)), 10);
mpf_div(lDivResult, lDivResult, lDenominator);
// TODO: Find a way to round correctly lDivResult. It is currently truncated.
rResult = mpf_get_d(lDivResult);
mpf_clear(lDivResult);
mpf_clear(lDenominator);
return rResult;
}
Float::Float(const char* str)
{
const int result = mpf_init_set_str(value, str, 10);
if (result != 0)
CFD_EXCEPTION("Invalid specification for floating point value.");
}
bool sg_big_float_check_num_str(const char *float_str, enum sg_num_sys sys)
{
mpf_t z;
float base = SG_COMPUTE_BASE(sys);
if (!float_str || !base)
return false;
return mpf_init_set_str(z, float_str, base) == 0;
}
int main() {
pthread_t thread_a, thread_b; /* My threads*/
int i;
FILE *filePi, *fileTime;
clock_t start, end;
double cpu_time_used;
mpf_set_default_prec(BITS_PER_DIGIT * 11000000);
/* Borwein Variable Initialization */
for(i=0; i<2; i++)
for(j=0; j<2; j++)
mpf_init(params[i][j]);
mpf_init(real_pi);
mpf_init(y0Aux);
mpf_init(y0Aux2);
mpf_init(a0Aux);
mpf_init(a0Aux2);
mpf_init(pi[0]);
mpf_init(pi[1]);
mpf_init_set_str(error, "1e-10000000", 10);
/* Initial value setting */
mpf_sqrt_ui(params[A][0], 2.0); /* a0 = sqrt(2)*/
mpf_mul_ui(params[A][0], params[A][0], 4.0); /* a0 = 4 * sqrt(2) */
mpf_ui_sub(params[A][0], 6.0, params[A][0]); /* a0 = 6 - 4 * sqrt(2) */
mpf_sqrt_ui(params[Y][0], 2.0); /* y0 = sqrt(2) */
mpf_sub_ui(params[Y][0], params[Y][0], 1.0); /* y0 = sqrt(2) - 1 */
mpf_set_ui(pi[0], 0);
mpf_set_ui(pi[1], 0);
i = 1;
j = 1;
iteracoes = 0;
x = 0;
/* Load the reals digits of pi */
filePi = fopen("pi.txt", "r");
gmp_fscanf(filePi, "%Ff", real_pi);
fclose(filePi);
start = clock();
while(1){
/* y = ( 1 - (1 - y0 ^ 4) ^ 0.25 ) / ( 1 + ( 1 - y0 ^ 4) ^ 0.25 ) */
mpf_pow_ui(y0Aux, params[Y][0], 4);
mpf_ui_sub(y0Aux, 1.0, y0Aux);
mpf_sqrt(y0Aux, y0Aux);
mpf_sqrt(y0Aux, y0Aux);
mpf_add_ui(y0Aux2, y0Aux, 1.0);
mpf_ui_sub(y0Aux, 1.0, y0Aux);
mpf_div(params[Y][1], y0Aux, y0Aux2);
/* a = a0 * ( 1 + params[Y][1] ) ^ 4 - 2 ^ ( 2 * i + 3 ) * params[Y][1] * ( 1 + params[Y][1] + params[Y][1] ^ 2 ) */
/* Threads creation */
pthread_create(&thread_a, NULL, calc_a, NULL);
pthread_create(&thread_b, NULL, calc_b, NULL);
pthread_join(thread_a, NULL);
pthread_join(thread_b, NULL);
/* 2 ^ ( 2 * i + 3 ) * params[Y][1] * ( 1 + params[Y][1] + params[Y][1] ^ 2 ) */
mpf_mul(a0Aux, a0Aux, a0Aux2);
/*a0 * ( 1 + params[Y][1] ) ^ 4*/
mpf_add_ui(a0Aux2, params[Y][1], 1);
mpf_pow_ui(a0Aux2, a0Aux2, 4);
mpf_mul(a0Aux2, params[A][0], a0Aux2);
/* form the entire expression */
mpf_sub(params[A][1], a0Aux2, a0Aux);
mpf_set(params[A][0], params[A][1]);
mpf_set(params[Y][0], params[Y][1]);
mpf_ui_div(pi[j], 1, params[A][0]);
gmp_printf("\nIteracao %d | pi = %.25Ff", iteracoes, pi[j]);
/* Calculate the error */
mpf_sub(pi[(j+1)%2], real_pi, pi[j]);
mpf_abs(pi[(j+1) % 2], pi[(j+1) % 2]);
if(mpf_cmp(pi[(j+1)%2], error) < 0){
printf("\n%d iteracoes para alcancar 10 milhoes de digitos de corretos.", iteracoes);
break;
}
j = (j+1) % 2;
iteracoes++;
i++;
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
fileTime = fopen("execution_time.txt", "w");
fprintf(fileTime, "Execution time: %f\n", cpu_time_used);
fclose(fileTime);
/* Clean up*/
for(i=0; i<2; i++)
for(j=0; j<2; j++)
mpf_clear(params[i][j]);
mpf_clear(pi[0]);
mpf_clear(pi[1]);
mpf_clear(real_pi);
mpf_clear(error);
return 0;
}
void
token2digit(Digit *digit, Token *tok, int base)
{
mpf_init_set_str(*digit, tok->str, base);
}
int main ()
{
int i = 0; /*Contador de iterações*/
int k = 8; /*Fator de multiplicação*/
mpf_t pi_pas, pi_novo;
mpf_t a_pas, a_novo;
mpf_t y_pas, y_novo;
mpf_t temp1, temp2;
mpf_t e;
FILE *fileTime; /*Ponteiro do arquivo de saída*/
clock_t start, end;
double cpu_time_used;
mpf_set_default_prec(BITS_PER_DIGIT * 11000000); /*Precisão default*/
/*Inicialização das variáveis*/
mpf_init(pi_pas);
mpf_init(pi_novo);
mpf_init(a_pas);
mpf_init(y_pas);
mpf_init(temp1);
mpf_init(temp2);
mpf_init_set_d(a_novo, 32.0);
mpf_sqrt(a_novo, a_novo);
mpf_ui_sub(a_novo, 6, a_novo);
mpf_init_set_d(y_novo, 2.0);
mpf_sqrt(y_novo, y_novo);
mpf_sub_ui(y_novo, y_novo, 1);
mpf_init_set_str(e, "1e-10000000", 10);
mpf_ui_div(pi_novo, 1, a_novo);
start = clock();
/*Calcula as iterações*/
do
{
mpf_swap(pi_pas, pi_novo);
mpf_swap(a_pas, a_novo);
mpf_swap(y_pas, y_novo);
mpf_pow_ui(y_pas, y_pas, 4);
mpf_ui_sub(y_pas, 1, y_pas);
mpf_sqrt(y_pas, y_pas);
mpf_sqrt(y_pas, y_pas);
mpf_add_ui(temp1, y_pas, 1);
mpf_ui_sub(y_novo, 1, y_pas);
mpf_div(y_novo, y_novo, temp1);
mpf_add_ui(temp1, y_novo, 1);
mpf_pow_ui(temp2, y_novo, 2);
mpf_add(temp2, temp2, temp1);
mpf_mul(temp2, temp2, y_novo);
mpf_mul_ui(temp2, temp2, k);
k *= 4;
mpf_pow_ui(temp1, temp1, 4);
mpf_mul(temp1, temp1, a_pas);
mpf_sub(a_novo, temp1, temp2);
mpf_ui_div(pi_novo, 1, a_novo);
mpf_sub(pi_pas, pi_novo, pi_pas);
mpf_abs(pi_pas, pi_pas);
gmp_printf("\nIteracao %d | pi = %.25Ff", i, pi_novo);
i++;
} while ( mpf_cmp(e, pi_pas) < 0 );
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
fileTime = fopen("execution_time.txt", "w");
fprintf(fileTime, "Execution time: %f\n", cpu_time_used);
fclose(fileTime);
/*Libera espaço de memória*/
mpf_clear(pi_pas);
mpf_clear(pi_novo);
mpf_clear(a_pas);
mpf_clear(a_novo);
mpf_clear(y_pas);
mpf_clear(y_novo);
mpf_clear(temp1);
mpf_clear(temp2);
mpf_clear(e);
return 0;
}
