All, I have attached a new patch to
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=113152 which addresses the following issues. PR113152 -- implement half-cycle trigonometric functions PR113412 -- better error message for atan(y,x) PR113413 -- implement atand(y,x) The patch clocks in at 3488 lines, so will not be attached here. There are a few items that may need some explanation. First, some (if not all) of the half-cycle functions are contained in ISO/IEC TS 18661-4, IEEE754-2008, and now Fortran 2023. The patch assumes that an OS's libm may/will contain cospi(), etc. (see for example FreeBSD's libm). If these are not in libm, then fallback routines are provided by libgfortran. The fallback routines have seen limited testing, so your mileage may vary. Second, I have no idea what REAL17 entails; however, I provide untested routines in trigpi_fallback2.F90 where I use REAL(16) in the declarations (yikes). Third, MPFR provides half-cycle functions in version 4.2.0 (and later). For simplicifation, the patch checks for an adequate MPFR version, if an older version is found fallback algorithms are used. These have had limited testing. The patch appears to pass regression testing. Hopefully, someone will find time to test and commit the patch. The remainder is an attempt to write ChangeLog entries. gcc/fortran: * gfortran.h (gfc_isym_id): Add GFC_ISYM_ACOSPI, GFC_ISYM_ASINPI, GFC_ISYM_ATANPI, GFC_ISYM_ATAN2PI, GFC_ISYM_COSPI, GFC_ISYM_SINPI, and GFC_ISYM_TANPI * intrinsic.cc (do_check): Whitespace and typo in comments. (add_functions): Add two-argument form of ATAND. Add half-cycle trigonometric functions ACOSPI, ASINPI, ATANPI, ATAN2PI, COSPI, SINPI, and TANPI. (sort_actual): Generate sensible error messages for two argument versions of ATAN, ATAND, and ATANPI. * intrinsic.h: New prototypes for gfc_simplify_acospi, gfc_simplify_asinpi, gfc_simplify_atanpi, gfc_simplify_atan2pi, gfc_simplify_cospi, gfc_simplify_sinpi, gfc_simplify_tanpi, gfc_resolve_acospi, gfc_resolve_asinpi, gfc_resolve_atanpi, gfc_resolve_atan2pi, gfc_resolve_cospi, gfc_resolve_sinpi, and gfc_resolve_tanpi * intrinsic.texi: Document new functions ACOSPI, ASINPI, ATANPI, ATAN2PI, COSPI, SINPI, and TANPI. Put the ATAN* family of functions in lexigraphical order. * iresolve.cc (gfc_resolve_acospi, gfc_resolve_asinpi, gfc_resolve_atanpi, gfc_resolve_atan2pi, gfc_resolve_cospi, gfc_resolve_sinpi, gfc_resolve_tanpi): New functions. * simplify.cc (gfc_simplify_acospi, gfc_simplify_asinpi, gfc_simplify_atanpi, gfc_simplify_atan2pi, gfc_simplify_cospi, gfc_simplify_sinpi, gfc_simplify_tanpi): New functions. Introduce MPFR_HALF_CYCLE macros to use MPFR half-cycle functions if available. * trans-intrinsic.cc: Declare asinpi, acospi, atanpi, atan2pi, sinpi, cospi, and tanpi as LIB_FUNCTION's. libgfortran: *Makefile.am: New files trigpi.c, trigpi_fallback1.c, and trigpi_fallback2.F90 * configure.ac: Check libm for float, double, and long double functions for asinpi, acospi, atanpi, atan2pi, sinpi, cospi, and tanpi * Makefile.in: Regenerated. * config.h.in: Ditto. * configure: Ditto. * gfortran.map: Add GFORTRAN_14 section to expose the library symbols. * trigpi.c: Fallback implementations of the half-cycle trigonometric functions. * trigpi_fallback1.c: Fallback functions for float, double, and long double routines if libm does provide them. * trigpi_fallback2.F90: REAL(16)/REAL(17?) fallback implementations of the half-cycle trigonometric functions. -- Steve