3 files changed, 950 insertions, 0 deletions

diff --git a/lib/GSL/Vector.hs b/lib/GSL/Vector.hs
new file mode 100644
index 0000000..e538b7e
--- /dev/null
+++ b/lib/GSL/Vector.hs
@@ -0,0 +1,163 @@
+{-# OPTIONS_GHC -fglasgow-exts #-}
+-----------------------------------------------------------------------------
+-- |
+-- Module      :  GSL.Vector
+-- Copyright   :  (c) Alberto Ruiz 2007
+-- License     :  GPL-style
+--
+-- Maintainer  :  Alberto Ruiz <aruiz@um.es>
+-- Stability   :  provisional
+-- Portability :  portable (uses FFI)
+--
+-- Vector operations
+--
+-----------------------------------------------------------------------------
+
+module GSL.Vector (
+    FunCodeS(..), toScalarR,
+    FunCodeV(..), vectorMapR, vectorMapC,
+    FunCodeSV(..), vectorMapValR, vectorMapValC,
+    FunCodeVV(..), vectorZipR, vectorZipC,
+    scale, addConstant
+) where
+
+import Data.Packed.Internal
+import Complex
+import Foreign
+
+data FunCodeV = Sin
+              | Cos
+              | Tan
+              | Abs
+              | ASin
+              | ACos
+              | ATan
+              | Sinh
+              | Cosh
+              | Tanh
+              | ASinh
+              | ACosh
+              | ATanh
+              | Exp
+              | Log
+              | Sign
+              | Sqrt
+              deriving Enum
+
+data FunCodeSV = Scale
+               | Recip
+               | AddConstant
+               | Negate
+               | PowSV
+               | PowVS
+               deriving Enum
+
+data FunCodeVV = Add
+               | Sub
+               | Mul
+               | Div
+               | Pow
+               | ATan2
+               deriving Enum
+
+data FunCodeS = Norm2
+              | AbsSum
+              | MaxIdx
+              | Max
+              | MinIdx
+              | Min
+              deriving Enum
+
+
+scale :: (Num a, Field a) => a -> Vector a -> Vector a
+scale x v | isReal baseOf v = scast $ vectorMapValR Scale (scast x) (scast v)
+          | isComp baseOf v = scast $ vectorMapValC Scale (scast x) (scast v)
+          | otherwise   = fromList $ map (*x) $ toList v
+
+addConstant :: (Num a, Field a) => a -> Vector a -> Vector a
+addConstant x v | isReal baseOf v = scast $ vectorMapValR AddConstant (scast x) (scast v)
+                | isComp baseOf v = scast $ vectorMapValC AddConstant (scast x) (scast v)
+                | otherwise   = fromList $ map (*x) $ toList v
+
+------------------------------------------------------------------
+
+toScalarAux fun code v = unsafePerformIO $ do
+    r <- createVector 1
+    fun (fromEnum code) // vec v // vec r // check "toScalarAux" [v]
+    return (r `at` 0)
+
+vectorMapAux fun code v = unsafePerformIO $ do
+    r <- createVector (dim v)
+    fun (fromEnum code) // vec v // vec r // check "vectorMapAux" [v]
+    return r
+
+vectorMapValAux fun code val v = unsafePerformIO $ do
+    r <- createVector (dim v)
+    pval <- newArray [val]
+    fun (fromEnum code) pval // vec v // vec r // check "vectorMapValAux" [v]
+    free pval
+    return r
+
+vectorZipAux fun code u v = unsafePerformIO $ do
+    r <- createVector (dim u)
+    fun (fromEnum code) // vec u // vec v // vec r // check "vectorZipAux" [u,v]
+    return r
+
+---------------------------------------------------------------------
+
+-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
+toScalarR :: FunCodeS -> Vector Double -> Double
+toScalarR oper =  toScalarAux c_toScalarR (fromEnum oper)
+
+foreign import ccall safe "gsl-aux.h toScalarR"
+    c_toScalarR :: Int -> Double :> Double :> IO Int
+
+------------------------------------------------------------------
+
+-- | map of real vectors with given function
+vectorMapR :: FunCodeV -> Vector Double -> Vector Double
+vectorMapR = vectorMapAux c_vectorMapR
+
+foreign import ccall safe "gsl-aux.h mapR"
+    c_vectorMapR :: Int -> Double :> Double :> IO Int
+
+-- | map of complex vectors with given function
+vectorMapC :: FunCodeV -> Vector (Complex Double) -> Vector (Complex Double)
+vectorMapC oper = vectorMapAux c_vectorMapC (fromEnum oper)
+
+foreign import ccall safe "gsl-aux.h mapC"
+    c_vectorMapC :: Int -> Complex Double :> Complex Double :> IO Int
+
+-------------------------------------------------------------------
+
+-- | map of real vectors with given function
+vectorMapValR :: FunCodeSV -> Double -> Vector Double -> Vector Double
+vectorMapValR oper = vectorMapValAux c_vectorMapValR (fromEnum oper)
+
+foreign import ccall safe "gsl-aux.h mapValR"
+    c_vectorMapValR :: Int -> Ptr Double -> Double :> Double :> IO Int
+
+-- | map of complex vectors with given function
+vectorMapValC :: FunCodeSV -> Complex Double -> Vector (Complex Double) -> Vector (Complex Double)
+vectorMapValC = vectorMapValAux c_vectorMapValC
+
+foreign import ccall safe "gsl-aux.h mapValC"
+    c_vectorMapValC :: Int -> Ptr (Complex Double) -> Complex Double :> Complex Double :> IO Int
+
+-------------------------------------------------------------------
+
+-- | elementwise operation on real vectors
+vectorZipR :: FunCodeVV -> Vector Double -> Vector Double -> Vector Double
+vectorZipR = vectorZipAux c_vectorZipR
+
+foreign import ccall safe "gsl-aux.h zipR"
+    c_vectorZipR :: Int -> Double :> Double :> Double :> IO Int
+
+-- | elementwise operation on complex vectors
+vectorZipC :: FunCodeVV -> Vector (Complex Double) -> Vector (Complex Double) -> Vector (Complex Double)
+vectorZipC = vectorZipAux c_vectorZipC
+
+foreign import ccall safe "gsl-aux.h zipC"
+    c_vectorZipC :: Int -> Complex Double :> Complex Double :> Complex Double :> IO Int
+
+
diff --git a/lib/GSL/gsl-aux.c b/lib/GSL/gsl-aux.c
new file mode 100644
index 0000000..fc95e6f
--- /dev/null
+++ b/lib/GSL/gsl-aux.c
@@ -0,0 +1,721 @@
+#include "gsl-aux.h"
+#include <gsl/gsl_blas.h>
+#include <gsl/gsl_linalg.h>
+#include <gsl/gsl_matrix.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_fft_complex.h>
+#include <gsl/gsl_eigen.h>
+#include <gsl/gsl_integration.h>
+#include <gsl/gsl_deriv.h>
+#include <gsl/gsl_poly.h>
+#include <gsl/gsl_multimin.h>
+#include <gsl/gsl_complex.h>
+#include <gsl/gsl_complex_math.h>
+#include <string.h>
+#include <stdio.h>
+
+#define MACRO(B) do {B} while (0)
+#define ERROR(CODE) MACRO(return CODE;)
+#define REQUIRES(COND, CODE) MACRO(if(!(COND)) {ERROR(CODE);})
+#define OK return 0;
+
+#define MIN(A,B) ((A)<(B)?(A):(B))
+#define MAX(A,B) ((A)>(B)?(A):(B))
+
+#ifdef DBG
+#define DEBUGMSG(M) printf("*** calling aux C function: %s\n",M);
+#else
+#define DEBUGMSG(M)
+#endif
+
+#define CHECK(RES,CODE) MACRO(if(RES) return CODE;)
+
+#ifdef DBG
+#define DEBUGMAT(MSG,X) printf(MSG" = \n"); gsl_matrix_fprintf(stdout,X,"%f"); printf("\n");
+#else
+#define DEBUGMAT(MSG,X)
+#endif
+
+#ifdef DBG
+#define DEBUGVEC(MSG,X) printf(MSG" = \n"); gsl_vector_fprintf(stdout,X,"%f"); printf("\n");
+#else
+#define DEBUGVEC(MSG,X)
+#endif
+
+#define DVVIEW(A) gsl_vector_view A = gsl_vector_view_array(A##p,A##n)
+#define DMVIEW(A) gsl_matrix_view A = gsl_matrix_view_array(A##p,A##r,A##c)
+#define CVVIEW(A) gsl_vector_complex_view A = gsl_vector_complex_view_array((double*)A##p,A##n)
+#define CMVIEW(A) gsl_matrix_complex_view A = gsl_matrix_complex_view_array((double*)A##p,A##r,A##c)
+#define KDVVIEW(A) gsl_vector_const_view A = gsl_vector_const_view_array(A##p,A##n)
+#define KDMVIEW(A) gsl_matrix_const_view A = gsl_matrix_const_view_array(A##p,A##r,A##c)
+#define KCVVIEW(A) gsl_vector_complex_const_view A = gsl_vector_complex_const_view_array((double*)A##p,A##n)
+#define KCMVIEW(A) gsl_matrix_complex_const_view A = gsl_matrix_complex_const_view_array((double*)A##p,A##r,A##c)
+
+#define V(a) (&a.vector)
+#define M(a) (&a.matrix)
+
+#define GCVEC(A) int A##n, gsl_complex*A##p
+#define KGCVEC(A) int A##n, const gsl_complex*A##p
+
+#define BAD_SIZE 1000
+#define BAD_CODE 1001
+#define MEM      1002
+#define BAD_FILE 1003
+
+
+int toScalarR(int code, KRVEC(x), RVEC(r)) { 
+    REQUIRES(rn==1,BAD_SIZE);
+    DEBUGMSG("toScalarR");
+    KDVVIEW(x);
+    double res;
+    switch(code) {
+        case 0: { res = gsl_blas_dnrm2(V(x)); break; } 
+        case 1: { res = gsl_blas_dasum(V(x));  break; }
+        case 2: { res = gsl_vector_max_index(V(x));  break; }
+        case 3: { res = gsl_vector_max(V(x));  break; }
+        case 4: { res = gsl_vector_min_index(V(x)); break; }
+        case 5: { res = gsl_vector_min(V(x)); break; }
+        default: ERROR(BAD_CODE);
+    }
+    rp[0] = res;
+    OK
+}
+
+
+inline double sign(double x) {
+    if(x>0) {
+        return +1.0;
+    } else if (x<0) {
+        return -1.0;
+    } else {
+        return 0.0;
+    }
+}
+
+
+#define OP(C,F) case C: { for(k=0;k<xn;k++) rp[k] = F(xp[k]); OK }
+#define OPV(C,E) case C: { for(k=0;k<xn;k++) rp[k] = E; OK }
+int mapR(int code, KRVEC(x), RVEC(r)) {
+    int k;
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("mapR");
+    switch (code) {
+        OP(0,sin)
+        OP(1,cos)
+        OP(2,tan)
+        OP(3,fabs)
+        OP(4,asin)
+        OP(5,acos)
+        OP(6,atan) /* atan2 mediante vectorZip */
+        OP(7,sinh)
+        OP(8,cosh)
+        OP(9,tanh)
+        OP(10,asinh)
+        OP(11,acosh)
+        OP(12,atanh)
+        OP(13,exp)
+        OP(14,log)
+        OP(15,sign)
+        OP(16,sqrt)
+        default: ERROR(BAD_CODE);
+    }
+}
+
+int mapCAux(int code, KGCVEC(x), GCVEC(r)) {
+    int k;
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("mapC");
+    switch (code) {
+        OP(0,gsl_complex_sin)
+        OP(1,gsl_complex_cos)
+        OP(2,gsl_complex_tan)
+
+        OP(4,gsl_complex_arcsin)
+        OP(5,gsl_complex_arccos)
+        OP(6,gsl_complex_arctan)
+        OP(7,gsl_complex_sinh)
+        OP(8,gsl_complex_cosh)
+        OP(9,gsl_complex_tanh)
+        OP(10,gsl_complex_arcsinh)
+        OP(11,gsl_complex_arccosh)
+        OP(12,gsl_complex_arctanh)
+        OP(13,gsl_complex_exp)
+        OP(14,gsl_complex_log)
+
+        OP(16,gsl_complex_sqrt)
+
+        // gsl_complex_arg
+        // gsl_complex_abs
+        default: ERROR(BAD_CODE);
+    }
+}
+
+int mapC(int code, KCVEC(x), CVEC(r)) {
+    return mapCAux(code, xn, (gsl_complex*)xp, rn, (gsl_complex*)rp);
+}
+
+
+/*
+int scaleR(double* alpha, KRVEC(x), RVEC(r)) {
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("scaleR");
+    KDVVIEW(x);
+    DVVIEW(r);
+    CHECK( gsl_vector_memcpy(V(r),V(x)) , MEM);
+    int res = gsl_vector_scale(V(r),*alpha);
+    CHECK(res,res);
+    OK
+}
+
+int scaleC(gsl_complex *alpha, KCVEC(x), CVEC(r)) {
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("scaleC");
+    //KCVVIEW(x);
+    CVVIEW(r);
+    gsl_vector_const_view vrx = gsl_vector_const_view_array((double*)xp,xn*2);
+    gsl_vector_view vrr = gsl_vector_view_array((double*)rp,rn*2);
+    CHECK(gsl_vector_memcpy(V(vrr),V(vrx)) , MEM);
+    gsl_blas_zscal(*alpha,V(r)); // void !
+    int res = 0; 
+    CHECK(res,res);
+    OK
+}
+
+int addConstantR(double offs, KRVEC(x), RVEC(r)) { 
+    REQUIRES(xn == rn,BAD_SIZE); 
+    DEBUGMSG("addConstantR");
+    KDVVIEW(x);
+    DVVIEW(r);
+    CHECK(gsl_vector_memcpy(V(r),V(x)), MEM);
+    int res = gsl_vector_add_constant(V(r),offs);
+    CHECK(res,res);
+    OK
+}
+
+*/
+
+
+
+int mapValR(int code, double* pval, KRVEC(x), RVEC(r)) {
+    int k;
+    double val = *pval;
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("mapValR");
+    switch (code) {
+        OPV(0,val*xp[k])
+        OPV(1,val/xp[k])
+        OPV(2,val+xp[k])
+        OPV(3,val-xp[k])
+        OPV(4,pow(val,xp[k]))
+        OPV(5,pow(xp[k],val))
+        default: ERROR(BAD_CODE);
+    }
+}
+
+int mapValCAux(int code, gsl_complex* pval, KGCVEC(x), GCVEC(r)) {
+    int k;
+    gsl_complex val = *pval;
+    REQUIRES(xn == rn,BAD_SIZE);
+    DEBUGMSG("mapValC");
+    switch (code) {
+        OPV(0,gsl_complex_mul(val,xp[k]))
+        OPV(1,gsl_complex_div(val,xp[k]))
+        OPV(2,gsl_complex_add(val,xp[k]))
+        OPV(3,gsl_complex_sub(val,xp[k]))
+        OPV(4,gsl_complex_pow(val,xp[k]))
+        OPV(5,gsl_complex_pow(val,xp[k]))
+        default: ERROR(BAD_CODE);
+    }
+}
+
+int mapValC(int code, gsl_complex* val, KCVEC(x), CVEC(r)) {
+    return mapValCAux(code, val, xn, (gsl_complex*)xp, rn, (gsl_complex*)rp);
+}
+
+
+#define OPZE(C,msg,E) case C: {DEBUGMSG(msg) for(k=0;k<an;k++) rp[k] = E(ap[k],bp[k]); OK }
+#define OPZV(C,msg,E) case C: {DEBUGMSG(msg) res = E(V(r),V(b)); CHECK(res,res); OK }
+int zipR(int code, KRVEC(a), KRVEC(b), RVEC(r)) {
+    REQUIRES(an == bn && an == rn, BAD_SIZE);
+    int k;
+    switch(code) {
+        OPZE(4,"zipR Pow",pow)
+        OPZE(5,"zipR ATan2",atan2)
+    }
+    KDVVIEW(a);
+    KDVVIEW(b);
+    DVVIEW(r);
+    gsl_vector_memcpy(V(r),V(a));
+    int res;
+    switch(code) {
+        OPZV(0,"zipR Add",gsl_vector_add)
+        OPZV(1,"zipR Sub",gsl_vector_sub)
+        OPZV(2,"zipR Mul",gsl_vector_mul)
+        OPZV(3,"zipR Div",gsl_vector_div)
+        default: ERROR(BAD_CODE);
+    }
+}
+
+
+int zipCAux(int code, KGCVEC(a), KGCVEC(b), GCVEC(r)) {
+    REQUIRES(an == bn && an == rn, BAD_SIZE);
+    int k;
+    switch(code) {
+        OPZE(0,"zipC Add",gsl_complex_add)
+        OPZE(1,"zipC Sub",gsl_complex_sub)
+        OPZE(2,"zipC Mul",gsl_complex_mul)
+        OPZE(3,"zipC Div",gsl_complex_div)
+        OPZE(4,"zipC Pow",gsl_complex_pow)
+        //OPZE(5,"zipR ATan2",atan2)
+    }
+    //KCVVIEW(a);
+    //KCVVIEW(b);
+    //CVVIEW(r);
+    //gsl_vector_memcpy(V(r),V(a));
+    //int res;
+    switch(code) {
+        default: ERROR(BAD_CODE);
+    }
+}
+
+
+int zipC(int code, KCVEC(a), KCVEC(b), CVEC(r)) {
+    return zipCAux(code, an, (gsl_complex*)ap, bn, (gsl_complex*)bp, rn, (gsl_complex*)rp);
+}
+
+
+
+
+int luSolveR(KRMAT(a),KRMAT(b),RMAT(r)) {
+    REQUIRES(ar==ac && ac==br && ar==rr && bc==rc,BAD_SIZE);
+    DEBUGMSG("luSolveR");
+    KDMVIEW(a);
+    KDMVIEW(b);
+    DMVIEW(r);
+    int res;
+    gsl_matrix *LU = gsl_matrix_alloc(ar,ar);
+    CHECK(!LU,MEM);
+    int s;
+    gsl_permutation * p = gsl_permutation_alloc (ar);
+    CHECK(!p,MEM);
+    CHECK(gsl_matrix_memcpy(LU,M(a)),MEM);
+    res = gsl_linalg_LU_decomp(LU, p, &s);
+    CHECK(res,res);
+    int c;
+
+    for (c=0; c<bc; c++) {
+        gsl_vector_const_view colb = gsl_matrix_const_column (M(b), c);
+        gsl_vector_view colr = gsl_matrix_column (M(r), c);
+        res = gsl_linalg_LU_solve (LU, p, V(colb), V(colr));
+        CHECK(res,res);
+    }
+    gsl_permutation_free(p);
+    gsl_matrix_free(LU);
+    OK
+}
+
+
+int luSolveC(KCMAT(a),KCMAT(b),CMAT(r)) {
+    REQUIRES(ar==ac && ac==br && ar==rr && bc==rc,BAD_SIZE);
+    DEBUGMSG("luSolveC");
+    KCMVIEW(a);
+    KCMVIEW(b);
+    CMVIEW(r);
+    gsl_matrix_complex *LU = gsl_matrix_complex_alloc(ar,ar);
+    CHECK(!LU,MEM);
+    int s;
+    gsl_permutation * p = gsl_permutation_alloc (ar);
+    CHECK(!p,MEM);
+    CHECK(gsl_matrix_complex_memcpy(LU,M(a)),MEM);
+    int res;
+    res = gsl_linalg_complex_LU_decomp(LU, p, &s);
+    CHECK(res,res);
+    int c;
+    for (c=0; c<bc; c++) {
+        gsl_vector_complex_const_view colb = gsl_matrix_complex_const_column (M(b), c);
+        gsl_vector_complex_view colr = gsl_matrix_complex_column (M(r), c);
+        res = gsl_linalg_complex_LU_solve (LU, p, V(colb), V(colr));
+        CHECK(res,res);
+    }
+    gsl_permutation_free(p);
+    gsl_matrix_complex_free(LU);
+    OK
+}
+
+
+int luRaux(KRMAT(a),RVEC(b)) {
+    REQUIRES(ar==ac && bn==ar*ar+ar+1,BAD_SIZE);
+    DEBUGMSG("luRaux");
+    KDMVIEW(a);
+    //DVVIEW(b);
+    gsl_matrix_view LU = gsl_matrix_view_array(bp,ar,ac);
+    int s;
+    gsl_permutation * p = gsl_permutation_alloc (ar);
+    CHECK(!p,MEM);
+    CHECK(gsl_matrix_memcpy(M(LU),M(a)),MEM);
+    gsl_linalg_LU_decomp(M(LU), p, &s);
+    bp[ar*ar] = s;
+    int k;
+    for (k=0; k<ar; k++) {
+        bp[ar*ar+k+1] = gsl_permutation_get(p,k);
+    }
+    gsl_permutation_free(p);
+    OK
+}
+
+int luCaux(KCMAT(a),CVEC(b)) {
+    REQUIRES(ar==ac && bn==ar*ar+ar+1,BAD_SIZE);
+    DEBUGMSG("luCaux");
+    KCMVIEW(a);
+    //DVVIEW(b);
+    gsl_matrix_complex_view LU = gsl_matrix_complex_view_array((double*)bp,ar,ac);
+    int s;
+    gsl_permutation * p = gsl_permutation_alloc (ar);
+    CHECK(!p,MEM);
+    CHECK(gsl_matrix_complex_memcpy(M(LU),M(a)),MEM);
+    int res;
+    res = gsl_linalg_complex_LU_decomp(M(LU), p, &s);
+    CHECK(res,res);
+    ((double*)bp)[2*ar*ar] = s;
+    ((double*)bp)[2*ar*ar+1] = 0;
+    int k;
+    for (k=0; k<ar; k++) {
+        ((double*)bp)[2*ar*ar+2*k+2] = gsl_permutation_get(p,k);
+        ((double*)bp)[2*ar*ar+2*k+2+1] = 0;
+    }
+    gsl_permutation_free(p);
+    OK
+}
+
+int svd(KRMAT(a),RMAT(u), RVEC(s),RMAT(v)) {
+    REQUIRES(ar==ur && ac==uc && ac==sn && ac==vr && ac==vc,BAD_SIZE);
+    DEBUGMSG("svd");
+    KDMVIEW(a);
+    DMVIEW(u);
+    DVVIEW(s);
+    DMVIEW(v);
+    gsl_vector  *workv = gsl_vector_alloc(ac);
+    CHECK(!workv,MEM);
+    gsl_matrix  *workm = gsl_matrix_alloc(ac,ac);
+    CHECK(!workm,MEM);
+    CHECK(gsl_matrix_memcpy(M(u),M(a)),MEM);
+    // int res = gsl_linalg_SV_decomp_jacobi (&U.matrix, &V.matrix, &S.vector);
+    // doesn't work 
+    //int res = gsl_linalg_SV_decomp (&U.matrix, &V.matrix, &S.vector, workv);
+    int res = gsl_linalg_SV_decomp_mod (M(u), workm, M(v), V(s), workv);
+    CHECK(res,res);
+    //gsl_matrix_transpose(M(v));
+    gsl_vector_free(workv);
+    gsl_matrix_free(workm);
+    OK
+}
+
+
+// for real symmetric matrices
+int eigensystemR(KRMAT(x),RVEC(l),RMAT(v)) {
+    REQUIRES(xr==xc && xr==ln && xr==vr && vr==vc,BAD_SIZE);
+    DEBUGMSG("eigensystemR (gsl_eigen_symmv)");
+    KDMVIEW(x);
+    DVVIEW(l);
+    DMVIEW(v);
+    gsl_matrix *XC = gsl_matrix_alloc(xr,xr);
+    gsl_matrix_memcpy(XC,M(x)); // needed because the argument is destroyed
+                                // many thanks to Nico Mahlo for the bug report 
+    gsl_eigen_symmv_workspace * w = gsl_eigen_symmv_alloc (xc);
+    int res = gsl_eigen_symmv (XC, V(l), M(v), w);
+    CHECK(res,res);
+    gsl_eigen_symmv_free (w);
+    gsl_matrix_free(XC);
+    gsl_eigen_symmv_sort (V(l), M(v), GSL_EIGEN_SORT_ABS_DESC);
+    OK
+}
+
+// for hermitian matrices
+int eigensystemC(KCMAT(x),RVEC(l),CMAT(v)) {
+    REQUIRES(xr==xc && xr==ln && xr==vr && vr==vc,BAD_SIZE);
+    DEBUGMSG("eigensystemC");
+    KCMVIEW(x);
+    DVVIEW(l);
+    CMVIEW(v);
+    gsl_matrix_complex *XC = gsl_matrix_complex_alloc(xr,xr);
+    gsl_matrix_complex_memcpy(XC,M(x)); // again needed because the argument is destroyed
+    gsl_eigen_hermv_workspace * w = gsl_eigen_hermv_alloc (xc);
+    int res = gsl_eigen_hermv (XC, V(l), M(v), w);
+    CHECK(res,res);
+    gsl_eigen_hermv_free (w);
+    gsl_matrix_complex_free(XC);
+    gsl_eigen_hermv_sort (V(l), M(v), GSL_EIGEN_SORT_ABS_DESC);
+    OK
+}
+
+int QR(KRMAT(x),RMAT(q),RMAT(r)) {
+    REQUIRES(xr==rr && xc==rc && qr==qc && xr==qr,BAD_SIZE);
+    DEBUGMSG("QR");
+    KDMVIEW(x);
+    DMVIEW(q);
+    DMVIEW(r);
+    gsl_matrix * a = gsl_matrix_alloc(xr,xc);
+    gsl_vector * tau = gsl_vector_alloc(MIN(xr,xc));
+    gsl_matrix_memcpy(a,M(x));
+    int res = gsl_linalg_QR_decomp(a,tau);
+    CHECK(res,res);
+    gsl_linalg_QR_unpack(a,tau,M(q),M(r));
+    gsl_vector_free(tau);
+    gsl_matrix_free(a);
+    OK
+}
+
+int chol(KRMAT(x),RMAT(l)) {
+    REQUIRES(xr==xc && lr==xr && lr==lc,BAD_SIZE);
+    DEBUGMSG("chol");
+    KDMVIEW(x);
+    DMVIEW(l);
+    gsl_matrix_memcpy(M(l),M(x));
+    int res = gsl_linalg_cholesky_decomp(M(l));
+    CHECK(res,res);
+    int r,c;
+    for (r=0; r<xr-1; r++) {
+        for(c=r+1; c<xc; c++) {
+            lp[r*lc+c] = 0.;
+        }
+    }
+    OK
+}
+
+
+int fft(int code, KCVEC(X), CVEC(R)) {
+    REQUIRES(Xn == Rn,BAD_SIZE);
+    DEBUGMSG("fft");
+    int s = Xn;
+    gsl_fft_complex_wavetable * wavetable = gsl_fft_complex_wavetable_alloc (s);
+    gsl_fft_complex_workspace * workspace = gsl_fft_complex_workspace_alloc (s);
+    gsl_vector_const_view X = gsl_vector_const_view_array((double*)Xp, 2*Xn);
+    gsl_vector_view R = gsl_vector_view_array((double*)Rp, 2*Rn);
+    gsl_blas_dcopy(&X.vector,&R.vector);
+    if(code==0) {
+        gsl_fft_complex_forward ((double*)Rp, 1, s, wavetable, workspace);
+    } else {
+        gsl_fft_complex_inverse ((double*)Rp, 1, s, wavetable, workspace);
+    }
+    gsl_fft_complex_wavetable_free (wavetable);
+    gsl_fft_complex_workspace_free (workspace);
+    OK
+}
+
+
+int integrate_qng(double f(double, void*), double a, double b, double prec,
+                   double *result, double*error) {
+    DEBUGMSG("integrate_qng");
+    gsl_function F;
+    F.function = f;
+    F.params = NULL;
+    size_t neval;
+    int res = gsl_integration_qng (&F, a,b, 0, prec, result, error, &neval); 
+    CHECK(res,res);
+    OK
+}
+
+int integrate_qags(double f(double,void*), double a, double b, double prec, int w, 
+               double *result, double* error) {
+    DEBUGMSG("integrate_qags");
+    gsl_integration_workspace * wk = gsl_integration_workspace_alloc (w);
+    gsl_function F;
+    F.function = f;
+    F.params = NULL;
+    int res = gsl_integration_qags (&F, a,b, 0, prec, w,wk, result, error); 
+    CHECK(res,res);
+    gsl_integration_workspace_free (wk); 
+    OK
+}
+
+int polySolve(KRVEC(a), CVEC(z)) {
+    DEBUGMSG("polySolve");
+    REQUIRES(an>1,BAD_SIZE);
+    gsl_poly_complex_workspace * w = gsl_poly_complex_workspace_alloc (an);
+    int res = gsl_poly_complex_solve ((double*)ap, an, w, (double*)zp);
+    CHECK(res,res);
+    gsl_poly_complex_workspace_free (w);
+    OK;
+}
+
+int matrix_fscanf(char*filename, RMAT(a)) {
+    DEBUGMSG("gsl_matrix_fscanf");
+    //printf(filename); printf("\n");
+    DMVIEW(a);
+    FILE * f = fopen(filename,"r");
+    CHECK(!f,BAD_FILE);
+    int res = gsl_matrix_fscanf(f, M(a));
+    CHECK(res,res);
+    fclose (f);
+    OK
+}
+
+//---------------------------------------------------------------
+
+typedef double Trawfun(int, double*);
+
+double only_f_aux_min(const gsl_vector*x, void *pars) {
+    Trawfun * f = (Trawfun*) pars;  
+    double* p = (double*)calloc(x->size,sizeof(double));
+    int k;
+    for(k=0;k<x->size;k++) {
+        p[k] = gsl_vector_get(x,k);
+    }  
+    double res = f(x->size,p);
+    free(p);
+    return res;
+}
+
+// this version returns info about intermediate steps
+int minimize(double f(int, double*), double tolsize, int maxit, 
+                 KRVEC(xi), KRVEC(sz), RMAT(sol)) {
+    REQUIRES(xin==szn && solr == maxit && solc == 3+xin,BAD_SIZE);
+    DEBUGMSG("minimizeList (nmsimplex)");
+    gsl_multimin_function my_func;
+    // extract function from pars
+    my_func.f = only_f_aux_min;
+    my_func.n = xin; 
+    my_func.params = f;
+    size_t iter = 0;
+    int status;
+    double size;
+    const gsl_multimin_fminimizer_type *T;
+    gsl_multimin_fminimizer *s = NULL;
+    // Initial vertex size vector 
+    KDVVIEW(sz);
+    // Starting point
+    KDVVIEW(xi);
+    // Minimizer nmsimplex, without derivatives
+    T = gsl_multimin_fminimizer_nmsimplex;
+    s = gsl_multimin_fminimizer_alloc (T, my_func.n);
+    gsl_multimin_fminimizer_set (s, &my_func, V(xi), V(sz));
+    do {
+        status = gsl_multimin_fminimizer_iterate (s);
+        size = gsl_multimin_fminimizer_size (s);
+
+        solp[iter*solc+0] = iter;
+        solp[iter*solc+1] = s->fval;
+        solp[iter*solc+2] = size;
+
+        int k;
+        for(k=0;k<xin;k++) {
+            solp[iter*solc+k+3] = gsl_vector_get(s->x,k);
+        }
+        status = gsl_multimin_test_size (size, tolsize);
+        iter++;
+    } while (status == GSL_CONTINUE && iter < maxit);
+    int i,j;
+    for (i=iter; i<solr; i++) {
+        solp[i*solc+0] = iter;
+        for(j=1;j<solc;j++) {
+            solp[i*solc+j]=0.;
+        }
+    }
+    gsl_multimin_fminimizer_free(s);
+    OK
+}
+
+// working with the gradient
+
+typedef struct {double (*f)(int, double*); void (*df)(int, double*, double*);} Tfdf;
+
+double f_aux_min(const gsl_vector*x, void *pars) {
+    Tfdf * fdf = ((Tfdf*) pars);
+    double* p = (double*)calloc(x->size,sizeof(double));
+    int k;
+    for(k=0;k<x->size;k++) {
+        p[k] = gsl_vector_get(x,k);
+    }
+    double res = fdf->f(x->size,p);
+    free(p);
+    return res;
+}
+
+
+void df_aux_min(const gsl_vector * x, void * pars, gsl_vector * g) {
+    Tfdf * fdf = ((Tfdf*) pars);  
+    double* p = (double*)calloc(x->size,sizeof(double));
+    double* q = (double*)calloc(x->size,sizeof(double));
+    int k;
+    for(k=0;k<x->size;k++) {
+        p[k] = gsl_vector_get(x,k);
+    }
+
+    fdf->df(x->size,p,q);
+
+    for(k=0;k<x->size;k++) {
+        gsl_vector_set(g,k,q[k]);
+    }
+    free(p);
+    free(q);
+}
+
+void fdf_aux_min(const gsl_vector * x, void * pars, double * f, gsl_vector * g) {
+    *f = f_aux_min(x,pars);
+    df_aux_min(x,pars,g);
+}
+
+// conjugate gradient
+int minimizeWithDeriv(double f(int, double*), void df(int, double*, double*), 
+                      double initstep, double minimpar, double tolgrad, int maxit, 
+                      KRVEC(xi), RMAT(sol)) {
+    REQUIRES(solr == maxit && solc == 2+xin,BAD_SIZE);
+    DEBUGMSG("minimizeWithDeriv (conjugate_fr)");
+    gsl_multimin_function_fdf my_func;
+    // extract function from pars
+    my_func.f = f_aux_min;
+    my_func.df = df_aux_min;
+    my_func.fdf = fdf_aux_min;
+    my_func.n = xin; 
+    Tfdf stfdf;
+    stfdf.f = f;
+    stfdf.df = df;
+    my_func.params = &stfdf;
+    size_t iter = 0;
+    int status;
+    const gsl_multimin_fdfminimizer_type *T;
+    gsl_multimin_fdfminimizer *s = NULL;
+    // Starting point
+    KDVVIEW(xi);
+    // conjugate gradient fr
+    T = gsl_multimin_fdfminimizer_conjugate_fr;
+    s = gsl_multimin_fdfminimizer_alloc (T, my_func.n);
+    gsl_multimin_fdfminimizer_set (s, &my_func, V(xi), initstep, minimpar);
+    do {
+        status = gsl_multimin_fdfminimizer_iterate (s);
+        solp[iter*solc+0] = iter;
+        solp[iter*solc+1] = s->f;
+        int k;
+        for(k=0;k<xin;k++) {
+            solp[iter*solc+k+2] = gsl_vector_get(s->x,k);
+        }
+        status = gsl_multimin_test_gradient (s->gradient, tolgrad);
+        iter++;
+    } while (status == GSL_CONTINUE && iter < maxit);
+    int i,j;
+    for (i=iter; i<solr; i++) {
+        solp[i*solc+0] = iter;
+        for(j=1;j<solc;j++) {
+            solp[i*solc+j]=0.;
+        }
+    }
+    gsl_multimin_fdfminimizer_free(s);
+    OK
+}
+
+
+int deriv(int code, double f(double, void*), double x, double h, double * result, double * abserr)
+{
+    gsl_function F;
+    F.function = f;
+    F.params = 0;
+
+    if(code==0) return gsl_deriv_central (&F, x, h, result, abserr);
+
+    if(code==1) return gsl_deriv_forward (&F, x, h, result, abserr);
+
+    if(code==2) return gsl_deriv_backward (&F, x, h, result, abserr);
+
+    return 0;
+}
diff --git a/lib/GSL/gsl-aux.h b/lib/GSL/gsl-aux.h
new file mode 100644
index 0000000..89bd75e
--- /dev/null
+++ b/lib/GSL/gsl-aux.h
@@ -0,0 +1,66 @@
+#include <gsl/gsl_complex.h>
+
+#define RVEC(A) int A##n, double*A##p
+#define RMAT(A) int A##r, int A##c, double* A##p
+#define KRVEC(A) int A##n, const double*A##p
+#define KRMAT(A) int A##r, int A##c, const double* A##p
+
+#define CVEC(A) int A##n, gsl_complex*A##p
+#define CMAT(A) int A##r, int A##c, gsl_complex* A##p
+#define KCVEC(A) int A##n, const gsl_complex*A##p
+#define KCMAT(A) int A##r, int A##c, const gsl_complex* A##p
+
+int toScalarR(int code, KRVEC(x), RVEC(r));
+/* norm2, absdif, maximum, posmax, etc. */
+
+int mapR(int code, KRVEC(x), RVEC(r));
+int mapC(int code, KCVEC(x), CVEC(r));
+/* sin cos tan etc. */
+
+int mapValR(int code, double*, KRVEC(x), RVEC(r));
+int mapValC(int code, gsl_complex*, KCVEC(x), CVEC(r));
+
+int zipR(int code, KRVEC(a), KRVEC(b), RVEC(r));
+int zipC(int code, KCVEC(a), KCVEC(b), CVEC(r));
+
+
+int luSolveR(KRMAT(a),KRMAT(b),RMAT(r)); 
+int luSolveC(KCMAT(a),KCMAT(b),CMAT(r));
+int luRaux(KRMAT(a),RVEC(b));
+int luCaux(KCMAT(a),CVEC(b));
+
+int svd(KRMAT(x),RMAT(u), RVEC(s),RMAT(v));
+
+int eigensystemR(KRMAT(x),RVEC(l),RMAT(v));
+int eigensystemC(KCMAT(x),RVEC(l),CMAT(v));
+
+int QR(KRMAT(x),RMAT(q),RMAT(r));
+
+int chol(KRMAT(x),RMAT(l));
+
+int fft(int code, KCVEC(a), CVEC(b));
+
+int integrate_qng(double f(double, void*), double a, double b, double prec,
+                   double *result, double*error);
+
+int integrate_qags(double f(double,void*), double a, double b, double prec, int w, 
+               double *result, double* error);
+
+int polySolve(KRVEC(a), CVEC(z));
+
+int matrix_fscanf(char*filename, RMAT(a));
+
+int minimize(double f(int, double*), double tolsize, int maxit, 
+                 KRVEC(xi), KRVEC(sz), RMAT(sol));
+
+int minimizeWithDeriv(double f(int, double*), void df(int, double*, double*),
+                      double initstep, double minimpar, double tolgrad, int maxit, 
+                      KRVEC(xi), RMAT(sol));
+
+int deriv(int code, double f(double, void*), double x, double h, double * result, double * abserr);
+
+double gsl_sf_erf(double);
+double gsl_sf_erf_Z(double);
+
+int gsl_sf_bessel_J0_e(double, double*); // hmmm...
+int gsl_sf_exp_e10_e(double, double*);   // HMMMMM...