141124_PI, C (gcc)

141124_PI

//Title of this code

#include <stdio.h>
#include <math.h>

#define _L1 100000
#define _L2 100000
#define _L3 100000
#define _L4 100000
#define _L5 100000
#define _L6 100000
#define _L7 100000
#define _L8 100000
#define _L9 100000

int main()
{
    double pi;
    short signo;

// Primera forma :

double s1;
    long long k;
    for(k = 1 , s1 = 0.0 ; k <= _L1 ; k++)
    {
        s1 += 1.0 /(k * k);
    }
    pi = sqrt(6.0 * s1);
    printf("\n1er valor de pi: %.15lf", pi);

// Segunda forma :

double p2;
    long n2, d2;

for(n2 = 2, d2 = 1, p2 = 2.0 , k = 1 ; k <= _L2 ; k++)
    {
        p2 *= (double)n2 / d2;
        d2 += 2;
        p2 *= (double)n2 / d2;
        n2 += 2;
    }
    pi = p2;
    printf("\n2do valor de pi: %.15lf", pi);

// Tercera forma :

double s3;
    for(s3 = 0.0 , k = 0 , signo = 1 ; k < _L3 ; k++ , signo = -signo)
    {
        s3 += signo * 1.0 / (2 * k + 1);
    }
    pi = 4.0 * s3;
    printf("\n3er valor de pi: %.15lf", pi);

// Cuarta forma :

double fraccion4;
    double s4;
    for(s4 = 1.0 , k = 0 , signo = -1 , fraccion4 = 1.0 ; k < _L4 ; k++ , signo = -signo)
    {
        fraccion4 *= (2.0 * k + 1) / (2.0 * k + 2);
        s4 += signo * (4.0 * (k + 1) + 1) * pow(fraccion4, 3);
    }
    pi = 2.0 / s4;
    printf("\n4to valor de pi: %.15lf", pi);

// Quinta forma :

double fraccion5;
    long n5, d5;
    double s5;
    for(s5 = 1.0 , fraccion5 = 0.5 , n5 = 1 , d5 = 4 , k = 1 ; k < _L5 ; k++)
    {
        s5 += fraccion5 * fraccion5;
        fraccion5 *= (double)n5 / d5;
        n5 += 2;
        d5 += 2;
    }
    pi = 4.0 / s5;
    printf("\n5to valor de pi: %.15lf", pi);

// Sexta forma :

double d6;
    for(d6 = 1.0 , k = _L6 ; k >= 0 ; k--)
    {
        d6 = (2.0 * k + 1.0) * (2.0 * k + 1.0) / (2.0 + d6);
    }
    pi = 4.0 / (d6 + 1);
    printf("\n6to valor de pi: %.15lf", pi);

// Séptima forma :

double d7;
    for(d7 = 1.0 , k = _L7 ; k >= 0 ; k--)
    {
        d7 = (2.0 * k + 1.0) * (2.0 * k + 2.0) / (1.0 + d7);
    }
    d7 = 1 + 1.0 / (1.0 + d7);
    pi = 2.0 * d7;
    printf("\n7mo valor de pi: %.15lf", pi);

// Octava forma :

double p8;
    for(p8 = 1.0 , k = 1 ; k < _L8 ; k++)
    {
        p8 *= 1.0 - 1.0 / (4.0 * k * k);
    }
    pi = 2.0 / p8;
    printf("\n8vo valor de pi: %.15lf", pi);

// Novena forma :

double p9;
    for(p9 = 1 , k = 1 ; k < _L9 ; k++)
    {
        p9 *= (2.0 * k - 1.0) * (2.0 * k + 1.0) / (4.0 * k * k);
    }
    pi = 2 / p9;
    printf("\n9no valor de pi: %.15lf", pi);

return 0;
}


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