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/* ocamlgsl - OCaml interface to GSL */
/* Copyright (©) 2002-2005 - Olivier Andrieu */
/* distributed under the terms of the GPL version 2 */
#include <gsl/gsl_errno.h>
#include <gsl/gsl_integration.h>
#include <caml/mlvalues.h>
#include <caml/alloc.h>
#include <caml/callback.h>
#include <caml/fail.h>
#include <caml/memory.h>
#include "mlgsl_fun.h"
#include "wrappers.h"
/* QNG integration */
CAMLprim value ml_gsl_integration_qng(value fun, value a, value b,
value epsabs, value epsrel)
{
CAMLparam1(fun);
CAMLlocal3(res, r, e);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t neval;
gsl_integration_qng(&gf, Double_val(a), Double_val(b),
Double_val(epsabs), Double_val(epsrel),
&result, &abserr, &neval);
r = copy_double(result);
e = copy_double(abserr);
res = alloc_small(3, 0);
Field(res, 0) = r;
Field(res, 1) = e;
Field(res, 2) = Val_int(neval);
CAMLreturn(res);
}
/* WORKSPACE */
#define GSL_WS(v) (gsl_integration_workspace *)(Field((v), 0))
ML1_alloc(gsl_integration_workspace_alloc, Int_val, Abstract_ptr)
ML1(gsl_integration_workspace_free, GSL_WS, Unit)
CAMLprim value ml_gsl_integration_ws_size(value ws)
{
return Val_int((GSL_WS(ws))->size);
}
/* QAG Integration */
CAMLprim value ml_gsl_integration_qag(value fun, value a, value b,
value epsabs, value epsrel,
value limit, value key, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
static const int key_conv [] = { GSL_INTEG_GAUSS15, GSL_INTEG_GAUSS21,
GSL_INTEG_GAUSS31, GSL_INTEG_GAUSS41,
GSL_INTEG_GAUSS51, GSL_INTEG_GAUSS61 };
int c_key = key_conv [ Int_val(key) ];
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qag(&gf,
Double_val(a), Double_val(b),
Double_val(epsabs), Double_val(epsrel),
c_limit, c_key, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qag_bc(value *args, int nb)
{
return ml_gsl_integration_qag(args[0], args[1], args[2], args[3], args[4],
args[5], args[6], args[7]);
}
CAMLprim value ml_gsl_integration_qags(value fun, value a, value b,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qags(&gf,
Double_val(a), Double_val(b),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qags_bc(value *args, int nb)
{
return ml_gsl_integration_qags(args[0], args[1], args[2], args[3], args[4],
args[5], args[6]);
}
CAMLprim value ml_gsl_integration_qagp(value fun, value pts,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qagp(&gf,
Double_array_val(pts), Double_array_length(pts),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qagp_bc(value *args, int nb)
{
return ml_gsl_integration_qagp(args[0], args[1], args[2],
args[3], args[4], args[5]);
}
CAMLprim value ml_gsl_integration_qagi(value fun,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val,gslws->limit);
gsl_integration_qagi(&gf,
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qagiu(value fun, value a,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qagiu(&gf, Double_val(a),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qagiu_bc(value *args, int nb)
{
return ml_gsl_integration_qagiu(args[0], args[1], args[2],
args[3], args[4], args[5]);
}
CAMLprim value ml_gsl_integration_qagil(value fun, value b,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qagil(&gf, Double_val(b),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qagil_bc(value *args, int nb)
{
return ml_gsl_integration_qagil(args[0], args[1], args[2],
args[3], args[4], args[5]);
}
/* QAWC integration */
CAMLprim value ml_gsl_integration_qawc(value fun, value a, value b, value c,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam2(fun, ws);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qawc(&gf,
Double_val(a), Double_val(b), Double_val(c),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qawc_bc(value *args, int nb)
{
return ml_gsl_integration_qawc(args[0], args[1], args[2], args[3],
args[4], args[5], args[6], args[7]);
}
/* QAWS integration */
CAMLprim value ml_gsl_integration_qaws_table_alloc(value alpha, value beta,
value mu, value nu)
{
value res;
Abstract_ptr(res, gsl_integration_qaws_table_alloc(Double_val(alpha),
Double_val(beta),
Int_val(mu),
Int_val(nu)));
return res;
}
#define QAWSTABLE_VAL(v) (gsl_integration_qaws_table *)Field((v), 0)
ML5(gsl_integration_qaws_table_set, QAWSTABLE_VAL, Double_val, Double_val, Int_val, Int_val, Unit)
ML1(gsl_integration_qaws_table_free, QAWSTABLE_VAL, Unit)
CAMLprim value ml_gsl_integration_qaws(value fun, value a, value b, value table ,
value epsabs, value epsrel,
value limit, value ws)
{
CAMLparam3(fun, ws, table);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qaws(&gf,
Double_val(a), Double_val(b), QAWSTABLE_VAL(table),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws, &result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qaws_bc(value *args, int nb)
{
return ml_gsl_integration_qaws(args[0], args[1], args[2], args[3],
args[4], args[5], args[6], args[7]);
}
/* QAWO integration */
static inline enum gsl_integration_qawo_enum qawo_of_val(value sine)
{
static const enum gsl_integration_qawo_enum qawo_sine[] = {
GSL_INTEG_COSINE, GSL_INTEG_SINE };
return qawo_sine[Int_val(sine)];
}
CAMLprim value ml_gsl_integration_qawo_table_alloc(value omega, value l,
value sine, value n)
{
value res;
Abstract_ptr(res, gsl_integration_qawo_table_alloc(Double_val(omega),
Double_val(l),
qawo_of_val(sine),
Int_val(n)));
return res;
}
#define QAWOTABLE_VAL(v) (gsl_integration_qawo_table *)Field((v), 0)
ML4(gsl_integration_qawo_table_set, QAWOTABLE_VAL, Double_val, Double_val, qawo_of_val, Unit)
ML1(gsl_integration_qawo_table_free, QAWOTABLE_VAL, Unit)
CAMLprim value ml_gsl_integration_qawo(value fun, value a,
value epsabs, value epsrel,
value limit, value ws, value table)
{
CAMLparam3(fun, ws, table);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qawo(&gf, Double_val(a),
Double_val(epsabs), Double_val(epsrel),
c_limit, gslws,
QAWOTABLE_VAL(table),
&result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qawo_bc(value *args, int nb)
{
return ml_gsl_integration_qawo(args[0], args[1], args[2], args[3],
args[4], args[5], args[6]);
}
CAMLprim value ml_gsl_integration_qawf(value fun, value a, value epsabs,
value limit, value ws, value cyclews,
value table)
{
CAMLparam4(fun, ws, cyclews, table);
GSLFUN_CLOSURE(gf, fun);
double result, abserr;
size_t c_limit;
gsl_integration_workspace *gslws = GSL_WS(ws);
c_limit = Opt_arg(limit, Int_val, gslws->limit);
gsl_integration_qawf(&gf, Double_val(a),
Double_val(epsabs), c_limit,
gslws, GSL_WS(cyclews),
QAWOTABLE_VAL(table),
&result, &abserr);
CAMLreturn(copy_two_double_arr(result, abserr));
}
CAMLprim value ml_gsl_integration_qawf_bc(value *args, int nb)
{
return ml_gsl_integration_qawf(args[0], args[1], args[2], args[3],
args[4], args[5], args[6]);
}
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