Ian Jauslin
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+/*
+Copyright 2016 Ian Jauslin
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+/*
+ integrals required for the computation
+*/
+
+#ifndef HH_INTEGRAL_H
+#define HH_INTEGRAL_H
+
+#include "types.h"
+#include <libinum.h>
+#include <mpfr.h>
+
+// extra arguments for the integration over theta (includes the integration options)
+typedef struct hh_argsint1 {
+ array_mpfr abcissa;
+ array_mpfr weights;
+ hh_params params;
+} hh_argsint1;
+
+// extra arguments for integration over rho (includes theta)
+typedef struct hh_argsint2 {
+ mpfr_ptr theta;
+ hh_params params;
+} hh_argsint2;
+
+// the integral
+int hh_integrate(mpfr_t* out, hh_params params, array_mpfr abcissa, array_mpfr weights);
+// integrand of the first integration
+int hh_integrand1(mpfr_t* out, mpfr_t theta, void* args);
+// integrand of the second integration
+int hh_integrand2(mpfr_t* out, mpfr_t rho, void* args);
+
+// derivative of the integral
+int hh_d_integrate(mpfr_t* out, hh_params params, array_mpfr abcissa, array_mpfr weights);
+// integrand of the first integration
+int hh_d_integrand1(mpfr_t* out, mpfr_t k1, void* args);
+// integrand of the second integration
+int hh_d_integrand2(mpfr_t* out, mpfr_t k2, void* args);
+
+// functions
+// Omega^2 and alpha_2
+int hh_Omega2_alpha2(mpfr_t Omega2, mpfr_t alpha2, mpfr_t rho, mpfr_t theta, mpfr_t tmp1, mpfr_t tmp2);
+// m
+int hh_m(mpfr_t out, mpfr_t W, mpfr_t t2, mpfr_t sinphi, mpfr_t alpha2);
+// xi^2
+int hh_xi2(mpfr_t out, mpfr_t Omega2, mpfr_t m, mpfr_t t1, mpfr_t tmp);
+
+#endif