b7fe38c14e
Similarly to the earlier sqrt patch, this patch attempts to improve sin/cos ranges. As the functions are periodic, for the reverse range there is not much we can do (but I've discovered I forgot to take into account the boundary ulps for the discovery of impossible result ranges). For fold_range, we can do something only if the range is narrow enough (narrower than 2*pi). The patch computes the value of the functions (taking ulps into account) and also computes the derivative to find out if the function is growing or declining on the boundaries and from that it figures out if the result range should be [min (fn (lb), fn (ub)), max (fn (lb), fn (ub))] or if it needs to be extended to 1 (actually using +Inf) and/or -1 (actually using -Inf) because there must be a local minimum and/or maximum in the range. 2023-05-06 Jakub Jelinek <jakub@redhat.com> * real.h (dconst_pi): Define. (dconst_e_ptr): Formatting fix. (dconst_pi_ptr): Declare. * real.cc (dconst_pi_ptr): New function. * gimple-range-op.cc (cfn_sincos::fold_range): Intersect the generic boundaries range with range computed from sin/cos of the particular bounds if the argument range is shorter than 2*pi. (cfn_sincos::op1_range): Take bulps into account when determining which result ranges are always invalid or behave like known NAN. * gcc.dg/tree-ssa/range-sincos-2.c: New test. |
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