acos acosh adaptsimp asin asinh atan atan2 atanh betafn BFGS cbind cbrt ceil chol_solve chol_solve cholesky copy copy_recycle copysign cos cosh crossprod dbeta dbinom dchisq det dexp df dgamma diag dlnorm dlogis dnbinom dnorm dpois dt dt1 dunif dweibull eigen epsilon erf erfc exp expm1 eye fabs factorial floor fmod for_each_ij_set gammafn gaxpy gradfdif gradfdifls hesscdif hypot intsimp inv inv invpd invpd j0 j1 jacfdif jn kronecker kurtosis kurtosisc ldexp lgamma linesearch1 linesearch2 lnbetafn lndbeta1 lndmvn lndnorm lndt1 lnfactorial lngammafn log log10 log1p logb lu_decomp lu_solve lu_solve matrix_order matrix_style max maxc maxind maxindc mean meanc median medianc min minc minind minindc mode modec nls_broyden ones operator! operator!= operator% operator& operator* operator* operator+ operator- operator- operator/ operator< operator<< operator<= operator== operator> operator>= operator>> operator^ operator| order pbeta pbinom pchisq pexp pf pgamma plnorm plogis pnbinom pnorm pow ppois prod prodc pt punif pweibull qnorm1 qr_decomp qr_solve qr_solve rbind rint row_interchange sd sd sdc selif seqa sgn sin sinh skew skewc sort sortc sqrt sum sumc svd t tan tanh unique var var varc vech xpnd y0 y1 yn zoom

template<typename T , typename FUNCTOR > T scythe::adaptsimp ( FUNCTOR  fun, T  a, T  b, unsigned int  N, double  tol = 1e-5  ) Calculate the definite integral of a function from a to b. This function calculates the definite integral of a univariate function on the interval . Parameters: fun The function (or functor) whose definite integral is to be calculated. This function should both take and return a single argument of type T. a The starting value of the interval. b The ending value of the interval. N The number of subintervals to calculate. Increasing this number will improve the accuracy of the estimate but will also increase run-time. tol The accuracy required. Both accuracy and run-time decrease as this number increases. Exceptions: scythe_invalid_arg (Level 1) See also: intsimp(FUNCTOR fun, T a, T b, unsigned int& N) Note: Users will typically wish to implement fun in terms of a functor. Using a functor provides a generic way in which to evaluate functions with more than one parameter. Furthermore, although one can pass a function pointer to this routine, the compiler cannot inline and fully optimize code referenced by function pointers. References fabs(), intsimp(), and SCYTHE_CHECK_10.