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Original file line number Diff line number Diff line change
Expand Up @@ -26,7 +26,7 @@
#include <stdint.h>

/**
* Evaluates the cumulative distribution function (CDF) for a hypergeometric distribution.
* Evaluates the cumulative distribution function (CDF) for a hypergeometric distribution with population size `N`, subpopulation size `K`, and number of draws `n` at a value `x`.
*
* @param x input value
* @param N population size
Expand All @@ -38,20 +38,18 @@
* double y = stdlib_base_dists_hypergeometric_cdf( 1.0, 8, 4, 2 );
* // returns ~0.786
*/
double stdlib_base_dists_hypergeometric_cdf(
const double x,
const int32_t N,
const int32_t K,
const int32_t n
) {
double stdlib_base_dists_hypergeometric_cdf( const double x, const int32_t N, const int32_t K, const int32_t n ) {
double upper;
double lower;
double denom;
double num;
double ret;
double dx;
double dn;
double dK;
double dN;
double p;
int32_t upper;
int32_t lower;
int32_t xi;
int32_t i;
double i;

if (
stdlib_base_is_nan( x ) ||
Expand All @@ -61,30 +59,28 @@ double stdlib_base_dists_hypergeometric_cdf(
K > N ||
n > N
) {
return 0.0 / 0.0;
return 0.0 / 0.0; // NaN
}
if ( stdlib_base_is_infinite( x ) ) {
return ( x > 0.0 ) ? 1.0 : 0.0;
}

xi = (int32_t)stdlib_base_trunc( x );

lower = stdlib_base_max( 0, n + K - N );
upper = stdlib_base_min( n, K );

if ( xi < lower ) {
dn = (double)n;
dN = (double)N;
dK = (double)K;
dx = stdlib_base_trunc( x );
lower = stdlib_base_max( 0.0, dn+dK-dN );
upper = stdlib_base_min( dn, dK );
if ( dx < lower ) {
return 0.0;
}
if ( xi >= upper ) {
if ( dx >= upper ) {
return 1.0;
}

p = stdlib_base_dists_hypergeometric_pmf( (double)xi, N, K, n );
p = stdlib_base_dists_hypergeometric_pmf( dx, N, K, n );
ret = p;

for ( i = xi - 1; i >= lower; i-- ) {
num = (double)( i + 1 ) * (double)( N - K - ( n - i - 1 ) );
denom = (double)( K - i ) * (double)( n - i );
for ( i = dx-1.0; i >= lower; i -= 1.0 ) {
num = ( i + 1.0 ) * ( dN - dK - dn + i + 1.0 );
denom = ( dK - i ) * ( dn - i );
p = ( num / denom ) * p;
ret += p;
}
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