X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns.cpp;h=cc0209208da959329d60fd3dbd9d1e1076d5d477;hb=c5be6a0d868b7fbf2bf51ed3ee2d2f50d3574b99;hp=f366e779e70fbdb18a64e0447b8b21263f3704ee;hpb=87ed87c395d6121fe468efc68ee2cd33a7e91200;p=ginac.git diff --git a/ginac/inifcns.cpp b/ginac/inifcns.cpp index f366e779..cc020920 100644 --- a/ginac/inifcns.cpp +++ b/ginac/inifcns.cpp @@ -1011,13 +1011,20 @@ fsolve(const ex& f_in, const symbol& x, const numeric& x1, const numeric& x2) if (!is_a(dx_)) throw std::runtime_error("fsolve(): function derivative does not evaluate numerically"); xx[side] += ex_to(dx_); - - ex f_x = f.subs(x == xx[side]).evalf(); - if (!is_a(f_x)) - throw std::runtime_error("fsolve(): function does not evaluate numerically"); - fx[side] = ex_to(f_x); - - if ((side==0 && xx[0]xxprev) || xx[0]>xx[1]) { + // Now check if Newton-Raphson method shot out of the interval + bool bad_shot = (side == 0 && xx[0] < xxprev) || + (side == 1 && xx[1] > xxprev) || xx[0] > xx[1]; + if (!bad_shot) { + // Compute f(x) only if new x is inside the interval. + // The function might be difficult to compute numerically + // or even ill defined outside the interval. Also it's + // a small optimization. + ex f_x = f.subs(x == xx[side]).evalf(); + if (!is_a(f_x)) + throw std::runtime_error("fsolve(): function does not evaluate numerically"); + fx[side] = ex_to(f_x); + } + if (bad_shot) { // Oops, Newton-Raphson method shot out of the interval. // Restore, and try again with the other side instead! xx[side] = xxprev;