]> www.ginac.de Git - ginac.git/blobdiff - ginac/inifcns_nstdsums.cpp
Fix evaluation of some G-polylogs.
[ginac.git] / ginac / inifcns_nstdsums.cpp
index 9f1e2cf0a845e2005256533b76fbb1f45c82b7c5..866472f4081a317e23b1cefcf57702b0545f245e 100644 (file)
@@ -803,12 +803,12 @@ ex depth_one_trafo_G(const Gparameter& pending_integrals, const Gparameter& a, i
 // forward declaration
 ex shuffle_G(const Gparameter & a0, const Gparameter & a1, const Gparameter & a2,
             const Gparameter& pendint, const Gparameter& a_old, int scale,
-            const exvector& gsyms);
+            const exvector& gsyms, bool flag_trailing_zeros_only);
 
 
 // G transformation [VSW]
 ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
-              const exvector& gsyms)
+              const exvector& gsyms, bool flag_trailing_zeros_only)
 {
        // main recursion routine
        //
@@ -848,18 +848,18 @@ ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
        if (trailing_zeros > 0) {
                ex result;
                Gparameter new_a(a.begin(), a.end()-1);
-               result += G_eval1(0, scale, gsyms) * G_transform(pendint, new_a, scale, gsyms);
+               result += G_eval1(0, scale, gsyms) * G_transform(pendint, new_a, scale, gsyms, flag_trailing_zeros_only);
                for (Gparameter::const_iterator it = a.begin(); it != firstzero; ++it) {
                        Gparameter new_a(a.begin(), it);
                        new_a.push_back(0);
                        new_a.insert(new_a.end(), it, a.end()-1);
-                       result -= G_transform(pendint, new_a, scale, gsyms);
+                       result -= G_transform(pendint, new_a, scale, gsyms, flag_trailing_zeros_only);
                }
                return result / trailing_zeros;
        }
 
-       // convergence case
-       if (convergent) {
+       // convergence case or flag_trailing_zeros_only
+       if (convergent || flag_trailing_zeros_only) {
                if (pendint.size() > 0) {
                        return G_eval(convert_pending_integrals_G(pendint),
                                      pendint.front(), gsyms)*
@@ -886,10 +886,10 @@ ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
                Gparameter a1(a.begin(),min_it+1);
                Gparameter a2(min_it+1,a.end());
 
-               ex result = G_transform(pendint, a2, scale, gsyms)*
-                       G_transform(empty, a1, scale, gsyms);
+               ex result = G_transform(pendint, a2, scale, gsyms, flag_trailing_zeros_only)*
+                           G_transform(empty, a1, scale, gsyms, flag_trailing_zeros_only);
 
-               result -= shuffle_G(empty, a1, a2, pendint, a, scale, gsyms);
+               result -= shuffle_G(empty, a1, a2, pendint, a, scale, gsyms, flag_trailing_zeros_only);
                return result;
        }
 
@@ -900,7 +900,7 @@ ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
        Gparameter new_pendint = prepare_pending_integrals(pendint, a[min_it_pos]);
        Gparameter new_a = a;
        new_a[min_it_pos] = 0;
-       ex result = G_transform(empty, new_a, scale, gsyms);
+       ex result = G_transform(empty, new_a, scale, gsyms, flag_trailing_zeros_only);
        if (pendint.size() > 0) {
                result *= trailing_zeros_G(convert_pending_integrals_G(pendint),
                                           pendint.front(), gsyms);
@@ -914,31 +914,31 @@ ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
                new_pendint.push_back(*changeit);
                result -= trailing_zeros_G(convert_pending_integrals_G(new_pendint),
                                           new_pendint.front(), gsyms)*
-                       G_transform(empty, new_a, scale, gsyms);
+                         G_transform(empty, new_a, scale, gsyms, flag_trailing_zeros_only);
                int buffer = *changeit;
                *changeit = *min_it;
-               result += G_transform(new_pendint, new_a, scale, gsyms);
+               result += G_transform(new_pendint, new_a, scale, gsyms, flag_trailing_zeros_only);
                *changeit = buffer;
                new_pendint.pop_back();
                --changeit;
                new_pendint.push_back(*changeit);
                result += trailing_zeros_G(convert_pending_integrals_G(new_pendint),
                                           new_pendint.front(), gsyms)*
-                       G_transform(empty, new_a, scale, gsyms);
+                         G_transform(empty, new_a, scale, gsyms, flag_trailing_zeros_only);
                *changeit = *min_it;
-               result -= G_transform(new_pendint, new_a, scale, gsyms);
+               result -= G_transform(new_pendint, new_a, scale, gsyms, flag_trailing_zeros_only);
        } else {
                // smallest at the front
                new_pendint.push_back(scale);
                result += trailing_zeros_G(convert_pending_integrals_G(new_pendint),
                                           new_pendint.front(), gsyms)*
-                       G_transform(empty, new_a, scale, gsyms);
+                         G_transform(empty, new_a, scale, gsyms, flag_trailing_zeros_only);
                new_pendint.back() =  *changeit;
                result -= trailing_zeros_G(convert_pending_integrals_G(new_pendint),
                                           new_pendint.front(), gsyms)*
-                       G_transform(empty, new_a, scale, gsyms);
+                         G_transform(empty, new_a, scale, gsyms, flag_trailing_zeros_only);
                *changeit = *min_it;
-               result += G_transform(new_pendint, new_a, scale, gsyms);
+               result += G_transform(new_pendint, new_a, scale, gsyms, flag_trailing_zeros_only);
        }
        return result;
 }
@@ -948,27 +948,27 @@ ex G_transform(const Gparameter& pendint, const Gparameter& a, int scale,
 // for the one that is equal to a_old
 ex shuffle_G(const Gparameter & a0, const Gparameter & a1, const Gparameter & a2,
             const Gparameter& pendint, const Gparameter& a_old, int scale,
-            const exvector& gsyms) 
+            const exvector& gsyms, bool flag_trailing_zeros_only
 {
        if (a1.size()==0 && a2.size()==0) {
                // veto the one configuration we don't want
                if ( a0 == a_old ) return 0;
 
-               return G_transform(pendint, a0, scale, gsyms);
+               return G_transform(pendint, a0, scale, gsyms, flag_trailing_zeros_only);
        }
 
        if (a2.size()==0) {
                Gparameter empty;
                Gparameter aa0 = a0;
                aa0.insert(aa0.end(),a1.begin(),a1.end());
-               return shuffle_G(aa0, empty, empty, pendint, a_old, scale, gsyms);
+               return shuffle_G(aa0, empty, empty, pendint, a_old, scale, gsyms, flag_trailing_zeros_only);
        }
 
        if (a1.size()==0) {
                Gparameter empty;
                Gparameter aa0 = a0;
                aa0.insert(aa0.end(),a2.begin(),a2.end());
-               return shuffle_G(aa0, empty, empty, pendint, a_old, scale, gsyms);
+               return shuffle_G(aa0, empty, empty, pendint, a_old, scale, gsyms, flag_trailing_zeros_only);
        }
 
        Gparameter a1_removed(a1.begin()+1,a1.end());
@@ -980,8 +980,8 @@ ex shuffle_G(const Gparameter & a0, const Gparameter & a1, const Gparameter & a2
        a01.push_back( a1[0] );
        a02.push_back( a2[0] );
 
-       return shuffle_G(a01, a1_removed, a2, pendint, a_old, scale, gsyms)
-            + shuffle_G(a02, a1, a2_removed, pendint, a_old, scale, gsyms);
+       return shuffle_G(a01, a1_removed, a2, pendint, a_old, scale, gsyms, flag_trailing_zeros_only)
+            + shuffle_G(a02, a1, a2_removed, pendint, a_old, scale, gsyms, flag_trailing_zeros_only);
 }
 
 // handles the transformations and the numerical evaluation of G
@@ -1047,7 +1047,7 @@ G_do_hoelder(std::vector<cln::cl_N> x, /* yes, it's passed by value */
 // the parameter x, s and y must only contain numerics
 static cln::cl_N
 G_do_trafo(const std::vector<cln::cl_N>& x, const std::vector<int>& s,
-          const cln::cl_N& y)
+           const cln::cl_N& y, bool flag_trailing_zeros_only)
 {
        // sort (|x|<->position) to determine indices
        typedef std::multimap<cln::cl_R, std::size_t> sortmap_t;
@@ -1115,7 +1115,7 @@ G_do_trafo(const std::vector<cln::cl_N>& x, const std::vector<int>& s,
 
        // do transformation
        Gparameter pendint;
-       ex result = G_transform(pendint, a, scale, gsyms);
+       ex result = G_transform(pendint, a, scale, gsyms, flag_trailing_zeros_only);
        // replace dummy symbols with their values
        result = result.eval().expand();
        result = result.subs(subslst).evalf();
@@ -1149,7 +1149,7 @@ G_numeric(const std::vector<cln::cl_N>& x, const std::vector<int>& s,
                                need_hoelder = true;
                }
        }
-       if (zerop(x[x.size() - 1])) {
+       if (zerop(x.back())) {
                have_trailing_zero = true;
                need_trafo = true;
        }
@@ -1163,7 +1163,7 @@ G_numeric(const std::vector<cln::cl_N>& x, const std::vector<int>& s,
        
        // convergence transformation
        if (need_trafo)
-               return G_do_trafo(x, s, y);
+               return G_do_trafo(x, s, y, have_trailing_zero);
 
        // do summation
        std::vector<cln::cl_N> newx;