#ifndef LIBPROB_H #define LIBPROB_H /* area under the binomial pdf, from 0 to k, of the binomial distribution with success probability p and n trials. */ double bdtr (int k, int n, double p); /* area under the binomial pdf, from k+1 to n, of the binomial distribution with success probability p and n trials. */ double bdtrc (int k, int n, double p); /* success probability such that the area under the binomial pdf from 0 to k with n trials equals y. */ double bdtri (int k, int n, double y); /* area under the left hand tail (from 0 to x) of the Chi square probability density function with v degrees of freedom. */ double chdtr (double v, double x); /* area under the right hand tail (from x to infinity) of the Chi square probability density function with v degrees of freedom. */ double chdtrc (double v, double x); /* Finds the Chi-square argument x such that the integral from x to infinity of the Chi-square density is equal to the given cumulative probability y. */ double chdtri (double df, double y); /* Returns the area from 0 to x under the F density function (also known as Snedcor's density or the variance ratio density). */ double fdtr (int ia, int ib, double x); /* Returns the area from x to infinity under the F density function (also known as Snedcor's density or the variance ratio density). */ double fdtrc (int ia, int ib, double x); /* Finds the F density argument x such that the integral from x to infinity of the F density is equal to the given probability p. */ double fdtri (int ia, int ib, double y); /* Computes the integral from minus infinity to t of the Student t distribution with integer k > 0 degrees of freedom. */ double stdtr (int k, double t); /* Given probability p, finds the argument t such that stdtr(k,t) is equal to p. */ double stdtri (int k, double p); /* Returns the area under the Gaussian probability density function, integrated from minus infinity to x. */ double ndtr (double a); /* Returns the argument, x, for which the area under the Gaussian probability density function (integrated from minus infinity to x) is equal to y. */ double ndtri (double y0); /* Returns the sum of the first k terms of the Poisson distribution with mean and variance m. */ double pdtr (int k, double m); /* Returns the sum of the terms k+1 to infinity of the Poisson distribution with mean and variance m. */ double pdtrc (int k, double m); /* Finds the Poisson variable x such that the integral from 0 to x of the Poisson density is equal to the given probability y. */ double pdtri (int k, double y); /* Returns the integral from zero to x of the gamma pdf with XX. */ double gdtr (double a, double b, double x); /* Returns the integral from x to infinity of the gamma pdf with XX. */ double gdtrc (double a, double b, double x); /* Returns gamma function of the argument. The result is correctly signed. */ double cephes_gamma (double x); /* cephes' gamma(), renamed */ /* Returns the base e (2.718...) logarithm of the absolute value of the gamma function of the argument. The sign (+1 or -1) of the gamma function is set in a global variable named cephes_sgngam. */ double cephes_lgamma (double x); /* alias for cephes' lgam() */ /* Returns the current value of cephes_sgngam. */ int get_cephes_sgngam (void); /* Evaluate roots of polynomial */ int polrt (double *xcof, double *cof, int m, cmplx *root); /* Accessor for cephes error code */ int get_cephes_errno (void); #endif /* LIBPROB_H */

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