]> www.ginac.de Git - ginac.git/blobdiff - ginac/inifcns_nstdsums.cpp
Fix G3_evalf and G3_eval for real and negative x.
[ginac.git] / ginac / inifcns_nstdsums.cpp
index 5f5949b69175067e54b2e3e699d6ba38b13c718d..c33a4cf8370d22020e302b0c08e1ade04f6a24f1 100644 (file)
@@ -346,7 +346,11 @@ cln::cl_N Li_projection(int n, const cln::cl_N& x, const cln::float_format_t& pr
                } else {
                        // choose the faster algorithm
                        if (cln::abs(cln::realpart(x)) > 0.75) {
-                               return -Li2_do_sum(1-x) - cln::log(x) * cln::log(1-x) + cln::zeta(2);
+                               if ( x == 1 ) {
+                                       return cln::zeta(2);
+                               } else {
+                                       return -Li2_do_sum(1-x) - cln::log(x) * cln::log(1-x) + cln::zeta(2);
+                               }
                        } else {
                                return -Li2_do_sum_Xn(1-x) - cln::log(x) * cln::log(1-x) + cln::zeta(2);
                        }
@@ -368,7 +372,8 @@ cln::cl_N Li_projection(int n, const cln::cl_N& x, const cln::float_format_t& pr
                                return Lin_do_sum_Xn(n, x);
                        }
                } else {
-                       cln::cl_N result = -cln::expt(cln::log(x), n-1) * cln::log(1-x) / cln::factorial(n-1);
+                       cln::cl_N result = 0;
+                       if ( x != 1 ) result = -cln::expt(cln::log(x), n-1) * cln::log(1-x) / cln::factorial(n-1);
                        for (int j=0; j<n-1; j++) {
                                result = result + (S_num(n-j-1, 1, 1) - S_num(1, n-j-1, 1-x))
                                                  * cln::expt(cln::log(x), j) / cln::factorial(j);
@@ -1196,9 +1201,14 @@ ex mLi_numeric(const lst& m, const lst& x)
                        s.push_back(1);
                }
                const cln::cl_N xi = ex_to<numeric>(*itx).to_cl_N();
-               newx.push_back(factor/xi);
                factor = factor/xi;
-               s.push_back(1);
+               newx.push_back(factor);
+               if ( !instanceof(factor, cln::cl_R_ring) && imagpart(factor) < 0 ) {
+                       s.push_back(-1);
+               }
+               else {
+                       s.push_back(1);
+               }
        }
        return numeric(cln::cl_N(1 & m.nops() ? - 1 : 1)*G_numeric(newx, s, cln::cl_N(1)));
 }
@@ -1350,12 +1360,16 @@ static ex G3_evalf(const ex& x_, const ex& s_, const ex& y)
                        all_zero = false;
                }
                if ( ex_to<numeric>(*itx).is_real() ) {
-                       if ( *its >= 0 ) {
+                       if ( ex_to<numeric>(*itx).is_positive() ) {
+                               if ( *its >= 0 ) {
+                                       sn.push_back(1);
+                               }
+                               else {
+                                       sn.push_back(-1);
+                               }
+                       } else {
                                sn.push_back(1);
                        }
-                       else {
-                               sn.push_back(-1);
-                       }
                }
                else {
                        if ( ex_to<numeric>(*itx).imag() > 0 ) {
@@ -1414,12 +1428,16 @@ static ex G3_eval(const ex& x_, const ex& s_, const ex& y)
                        all_zero = false;
                }
                if ( ex_to<numeric>(*itx).is_real() ) {
-                       if ( *its >= 0 ) {
+                       if ( ex_to<numeric>(*itx).is_positive() ) {
+                               if ( *its >= 0 ) {
+                                       sn.push_back(1);
+                               }
+                               else {
+                                       sn.push_back(-1);
+                               }
+                       } else {
                                sn.push_back(1);
                        }
-                       else {
-                               sn.push_back(-1);
-                       }
                }
                else {
                        if ( ex_to<numeric>(*itx).imag() > 0 ) {