Fix PR fortran/93871 and re-implement degree-valued trigonometric intrinsics.
2020-04-01 Fritz Reese <foreese@gcc.gnu.org>
Steven G. Kargl <kargl@gcc.gnu.org>
gcc/fortran/ChangeLog
PR fortran/93871
* gfortran.h (GFC_ISYM_ACOSD, GFC_ISYM_ASIND, GFC_ISYM_ATAN2D,
GFC_ISYM_ATAND, GFC_ISYM_COSD, GFC_ISYM_COTAND, GFC_ISYM_SIND,
GFC_ISYM_TAND): New.
* intrinsic.c (add_functions): Remove check for flag_dec_math.
Give degree trig functions simplification and name resolution
functions (e.g, gfc_simplify_atrigd () and gfc_resolve_atrigd ()).
(do_simplify): Remove special casing of degree trig functions.
* intrinsic.h (gfc_simplify_acosd, gfc_simplify_asind,
gfc_simplify_atand, gfc_simplify_cosd, gfc_simplify_cotand,
gfc_simplify_sind, gfc_simplify_tand, gfc_resolve_trigd2): Add new
prototypes.
(gfc_simplify_atrigd, gfc_simplify_trigd, gfc_resolve_cotan,
resolve_atrigd): Remove prototypes of deleted functions.
* iresolve.c (is_trig_resolved, copy_replace_function_shallow,
gfc_resolve_cotan, get_radians, get_degrees, resolve_trig_call,
gfc_resolve_atrigd, gfc_resolve_atan2d): Delete functions.
(gfc_resolve_trigd, gfc_resolve_trigd2): Resolve to library functions.
* simplify.c (rad2deg, deg2rad, gfc_simplify_acosd, gfc_simplify_asind,
gfc_simplify_atand, gfc_simplify_atan2d, gfc_simplify_cosd,
gfc_simplify_sind, gfc_simplify_tand, gfc_simplify_cotand): New
functions.
(gfc_simplify_atan2): Fix error message.
(simplify_trig_call, gfc_simplify_trigd, gfc_simplify_atrigd,
radians_f): Delete functions.
* trans-intrinsic.c: Add LIB_FUNCTION decls for sind, cosd, tand.
(rad2deg, gfc_conv_intrinsic_atrigd, gfc_conv_intrinsic_cotan,
gfc_conv_intrinsic_cotand, gfc_conv_intrinsic_atan2d): New functions.
(gfc_conv_intrinsic_function): Handle ACOSD, ASIND, ATAND, COTAN,
COTAND, ATAN2D.
* trigd_fe.inc: New file. Included by simplify.c to implement
simplify_sind, simplify_cosd, simplify_tand with code common to the
libgfortran implementation.
gcc/testsuite/ChangeLog
PR fortran/93871
* gfortran.dg/dec_math.f90: Extend coverage to real(10) and real(16).
* gfortran.dg/dec_math_2.f90: New test.
* gfortran.dg/dec_math_3.f90: Likewise.
* gfortran.dg/dec_math_4.f90: Likewise.
* gfortran.dg/dec_math_5.f90: Likewise.
libgfortran/ChangeLog
PR fortran/93871
* Makefile.am, Makefile.in: New make rule for intrinsics/trigd.c.
* gfortran.map: New routines for {sind, cosd, tand}X{r4, r8, r10, r16}.
* intrinsics/trigd.c, intrinsics/trigd_lib.inc, intrinsics/trigd.inc:
New files. Defines native degree-valued trig functions.
This commit is contained in:
Fritz Reese
parent
2daa92ac4b
commit
57391ddaf3
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@ -1,3 +1,40 @@
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2020-04-07 Fritz Reese <foreese@gcc.gnu.org>
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Steven G. Kargl <kargl@gcc.gnu.org>
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PR fortran/93871
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* gfortran.h (GFC_ISYM_ACOSD, GFC_ISYM_ASIND, GFC_ISYM_ATAN2D,
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GFC_ISYM_ATAND, GFC_ISYM_COSD, GFC_ISYM_COTAND, GFC_ISYM_SIND,
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GFC_ISYM_TAND): New.
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* intrinsic.c (add_functions): Remove check for flag_dec_math.
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Give degree trig functions simplification and name resolution
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functions (e.g, gfc_simplify_atrigd () and gfc_resolve_atrigd ()).
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(do_simplify): Remove special casing of degree trig functions.
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* intrinsic.h (gfc_simplify_acosd, gfc_simplify_asind,
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gfc_simplify_atand, gfc_simplify_cosd, gfc_simplify_cotand,
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gfc_simplify_sind, gfc_simplify_tand, gfc_resolve_trigd2): Add new
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prototypes.
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(gfc_simplify_atrigd, gfc_simplify_trigd, gfc_resolve_cotan,
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resolve_atrigd): Remove prototypes of deleted functions.
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* iresolve.c (is_trig_resolved, copy_replace_function_shallow,
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gfc_resolve_cotan, get_radians, get_degrees, resolve_trig_call,
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gfc_resolve_atrigd, gfc_resolve_atan2d): Delete functions.
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(gfc_resolve_trigd, gfc_resolve_trigd2): Resolve to library functions.
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* simplify.c (rad2deg, deg2rad, gfc_simplify_acosd, gfc_simplify_asind,
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gfc_simplify_atand, gfc_simplify_atan2d, gfc_simplify_cosd,
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gfc_simplify_sind, gfc_simplify_tand, gfc_simplify_cotand): New
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functions.
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(gfc_simplify_atan2): Fix error message.
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(simplify_trig_call, gfc_simplify_trigd, gfc_simplify_atrigd,
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radians_f): Delete functions.
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* trans-intrinsic.c: Add LIB_FUNCTION decls for sind, cosd, tand.
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(rad2deg, gfc_conv_intrinsic_atrigd, gfc_conv_intrinsic_cotan,
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gfc_conv_intrinsic_cotand, gfc_conv_intrinsic_atan2d): New functions.
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(gfc_conv_intrinsic_function): Handle ACOSD, ASIND, ATAND, COTAN,
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COTAND, ATAN2D.
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* trigd_fe.inc: New file. Included by simplify.c to implement
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simplify_sind, simplify_cosd, simplify_tand with code common to the
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libgfortran implementation.
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2020-04-06 Steven G. Kargl <kargl@gcc.gnu.org>
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PR fortran/93686
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@ -357,6 +357,7 @@ enum gfc_isym_id
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GFC_ISYM_ACCESS,
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GFC_ISYM_ACHAR,
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GFC_ISYM_ACOS,
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GFC_ISYM_ACOSD,
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GFC_ISYM_ACOSH,
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GFC_ISYM_ADJUSTL,
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GFC_ISYM_ADJUSTR,
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@ -369,10 +370,13 @@ enum gfc_isym_id
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GFC_ISYM_ANINT,
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GFC_ISYM_ANY,
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GFC_ISYM_ASIN,
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GFC_ISYM_ASIND,
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GFC_ISYM_ASINH,
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GFC_ISYM_ASSOCIATED,
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GFC_ISYM_ATAN,
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GFC_ISYM_ATAN2,
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GFC_ISYM_ATAN2D,
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GFC_ISYM_ATAND,
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GFC_ISYM_ATANH,
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GFC_ISYM_ATOMIC_ADD,
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GFC_ISYM_ATOMIC_AND,
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@ -410,8 +414,10 @@ enum gfc_isym_id
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GFC_ISYM_CONJG,
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GFC_ISYM_CONVERSION,
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GFC_ISYM_COS,
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GFC_ISYM_COSD,
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GFC_ISYM_COSH,
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GFC_ISYM_COTAN,
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GFC_ISYM_COTAND,
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GFC_ISYM_COUNT,
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GFC_ISYM_CPU_TIME,
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GFC_ISYM_CSHIFT,
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@ -598,6 +604,7 @@ enum gfc_isym_id
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GFC_ISYM_SIGNAL,
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GFC_ISYM_SI_KIND,
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GFC_ISYM_SIN,
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GFC_ISYM_SIND,
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GFC_ISYM_SINH,
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GFC_ISYM_SIZE,
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GFC_ISYM_SLEEP,
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@ -618,6 +625,7 @@ enum gfc_isym_id
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GFC_ISYM_SYSTEM,
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GFC_ISYM_SYSTEM_CLOCK,
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GFC_ISYM_TAN,
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GFC_ISYM_TAND,
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GFC_ISYM_TANH,
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GFC_ISYM_TEAM_NUMBER,
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GFC_ISYM_THIS_IMAGE,
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@ -3281,116 +3281,130 @@ add_functions (void)
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make_generic ("loc", GFC_ISYM_LOC, GFC_STD_GNU);
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if (flag_dec_math)
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{
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add_sym_1 ("acosd", GFC_ISYM_ACOS, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("dacosd", GFC_ISYM_ACOS, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dd, REQUIRED);
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/* The next of intrinsic subprogram are the degree trignometric functions.
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These were hidden behind the -fdec-math option, but are now simply
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included as extensions to the set of intrinsic subprograms. */
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make_generic ("acosd", GFC_ISYM_ACOS, GFC_STD_GNU);
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add_sym_1 ("acosd", GFC_ISYM_ACOSD, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_acosd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("asind", GFC_ISYM_ASIN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("dacosd", GFC_ISYM_ACOSD, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_acosd, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("dasind", GFC_ISYM_ASIN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dd, REQUIRED);
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make_generic ("acosd", GFC_ISYM_ACOSD, GFC_STD_GNU);
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make_generic ("asind", GFC_ISYM_ASIN, GFC_STD_GNU);
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add_sym_1 ("asind", GFC_ISYM_ASIND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_asind, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("atand", GFC_ISYM_ATAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("dasind", GFC_ISYM_ASIND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_asind, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("datand", GFC_ISYM_ATAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_atrigd, gfc_resolve_atrigd,
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x, BT_REAL, dd, REQUIRED);
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make_generic ("asind", GFC_ISYM_ASIND, GFC_STD_GNU);
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make_generic ("atand", GFC_ISYM_ATAN, GFC_STD_GNU);
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add_sym_1 ("atand", GFC_ISYM_ATAND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_atand, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_2 ("atan2d",GFC_ISYM_ATAN2,CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_atan2, gfc_simplify_atan2d, gfc_resolve_atan2d,
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y, BT_REAL, dr, REQUIRED, x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("datand", GFC_ISYM_ATAND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_atand, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_2 ("datan2d",GFC_ISYM_ATAN2,CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_datan2, gfc_simplify_atan2d, gfc_resolve_atan2d,
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y, BT_REAL, dd, REQUIRED, x, BT_REAL, dd, REQUIRED);
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make_generic ("atand", GFC_ISYM_ATAND, GFC_STD_GNU);
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make_generic ("atan2d", GFC_ISYM_ATAN2, GFC_STD_GNU);
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add_sym_2 ("atan2d", GFC_ISYM_ATAN2D, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_atan2, gfc_simplify_atan2d, gfc_resolve_trigd2,
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y, BT_REAL, dr, REQUIRED,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("cosd", GFC_ISYM_COS, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_2 ("datan2d", GFC_ISYM_ATAN2D, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_datan2, gfc_simplify_atan2d, gfc_resolve_trigd2,
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y, BT_REAL, dd, REQUIRED,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("dcosd", GFC_ISYM_COS, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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make_generic ("atan2d", GFC_ISYM_ATAN2D, GFC_STD_GNU);
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make_generic ("cosd", GFC_ISYM_COS, GFC_STD_GNU);
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add_sym_1 ("cosd", GFC_ISYM_COSD, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_cosd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("cotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_rc2008, gfc_simplify_cotan, gfc_resolve_cotan,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("dcosd", GFC_ISYM_COSD, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_cosd, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("dcotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_cotan, gfc_resolve_cotan,
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x, BT_REAL, dd, REQUIRED);
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make_generic ("cosd", GFC_ISYM_COSD, GFC_STD_GNU);
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make_generic ("cotan", GFC_ISYM_COTAN, GFC_STD_GNU);
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add_sym_1 ("cotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_rc2008, gfc_simplify_cotan, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("cotand", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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add_sym_1 ("dcotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_cotan, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("dcotand",GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("ccotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_COMPLEX, dz, GFC_STD_GNU,
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NULL, gfc_simplify_cotan, gfc_resolve_trigd,
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x, BT_COMPLEX, dz, REQUIRED);
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make_generic ("cotand", GFC_ISYM_COTAN, GFC_STD_GNU);
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add_sym_1 ("zcotan", GFC_ISYM_COTAN, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_COMPLEX, dd, GFC_STD_GNU,
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NULL, gfc_simplify_cotan, gfc_resolve_trigd,
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x, BT_COMPLEX, dd, REQUIRED);
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add_sym_1 ("sind", GFC_ISYM_SIN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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make_generic ("cotan", GFC_ISYM_COTAN, GFC_STD_GNU);
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add_sym_1 ("dsind", GFC_ISYM_SIN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("cotand", GFC_ISYM_COTAND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_cotand, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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make_generic ("sind", GFC_ISYM_SIN, GFC_STD_GNU);
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add_sym_1 ("dcotand", GFC_ISYM_COTAND, CLASS_ELEMENTAL, ACTUAL_YES,
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BT_REAL, dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_cotand, gfc_resolve_trigd,
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x, BT_REAL, dd, REQUIRED);
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add_sym_1 ("tand", GFC_ISYM_TAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dr, GFC_STD_GNU,
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gfc_check_fn_r, gfc_simplify_trigd, gfc_resolve_trigd,
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x, BT_REAL, dr, REQUIRED);
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make_generic ("cotand", GFC_ISYM_COTAND, GFC_STD_GNU);
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add_sym_1 ("dtand", GFC_ISYM_TAN, CLASS_ELEMENTAL, ACTUAL_YES, BT_REAL,
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dd, GFC_STD_GNU,
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gfc_check_fn_d, gfc_simplify_trigd, gfc_resolve_trigd,
|
||||
x, BT_REAL, dd, REQUIRED);
|
||||
add_sym_1 ("sind", GFC_ISYM_SIND, CLASS_ELEMENTAL, ACTUAL_YES,
|
||||
BT_REAL, dr, GFC_STD_GNU,
|
||||
gfc_check_fn_r, gfc_simplify_sind, gfc_resolve_trigd,
|
||||
x, BT_REAL, dr, REQUIRED);
|
||||
|
||||
make_generic ("tand", GFC_ISYM_TAN, GFC_STD_GNU);
|
||||
}
|
||||
add_sym_1 ("dsind", GFC_ISYM_SIND, CLASS_ELEMENTAL, ACTUAL_YES,
|
||||
BT_REAL, dd, GFC_STD_GNU,
|
||||
gfc_check_fn_d, gfc_simplify_sind, gfc_resolve_trigd,
|
||||
x, BT_REAL, dd, REQUIRED);
|
||||
|
||||
make_generic ("sind", GFC_ISYM_SIND, GFC_STD_GNU);
|
||||
|
||||
add_sym_1 ("tand", GFC_ISYM_TAND, CLASS_ELEMENTAL, ACTUAL_YES,
|
||||
BT_REAL, dr, GFC_STD_GNU,
|
||||
gfc_check_fn_r, gfc_simplify_tand, gfc_resolve_trigd,
|
||||
x, BT_REAL, dr, REQUIRED);
|
||||
|
||||
add_sym_1 ("dtand", GFC_ISYM_TAND, CLASS_ELEMENTAL, ACTUAL_YES,
|
||||
BT_REAL, dd, GFC_STD_GNU,
|
||||
gfc_check_fn_d, gfc_simplify_tand, gfc_resolve_trigd,
|
||||
x, BT_REAL, dd, REQUIRED);
|
||||
|
||||
make_generic ("tand", GFC_ISYM_TAND, GFC_STD_GNU);
|
||||
|
||||
/* The following function is internally used for coarray libray functions.
|
||||
"make_from_module" makes it inaccessible for external users. */
|
||||
|
|
@ -4566,15 +4580,6 @@ do_simplify (gfc_intrinsic_sym *specific, gfc_expr *e)
|
|||
goto finish;
|
||||
}
|
||||
|
||||
/* Some math intrinsics need to wrap the original expression. */
|
||||
if (specific->simplify.f1 == gfc_simplify_trigd
|
||||
|| specific->simplify.f1 == gfc_simplify_atrigd
|
||||
|| specific->simplify.f1 == gfc_simplify_cotan)
|
||||
{
|
||||
result = (*specific->simplify.f1) (e);
|
||||
goto finish;
|
||||
}
|
||||
|
||||
if (specific->simplify.f1 == NULL)
|
||||
{
|
||||
result = NULL;
|
||||
|
|
|
|||
|
|
@ -237,13 +237,14 @@ bool gfc_check_unlink_sub (gfc_expr *, gfc_expr *);
|
|||
gfc_expr *gfc_simplify_abs (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_achar (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_acos (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_acosd (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_acosh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_adjustl (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_adjustr (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_aimag (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_aint (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_all (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atrigd (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_asind (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_dint (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_anint (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_dnint (gfc_expr *);
|
||||
|
|
@ -252,6 +253,7 @@ gfc_expr *gfc_simplify_any (gfc_expr *, gfc_expr *);
|
|||
gfc_expr *gfc_simplify_asin (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_asinh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atan (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atand (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atanh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atan2 (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_atan2d (gfc_expr *, gfc_expr *);
|
||||
|
|
@ -277,8 +279,10 @@ gfc_expr *gfc_simplify_compiler_version (void);
|
|||
gfc_expr *gfc_simplify_complex (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_conjg (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cos (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cosd (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cosh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cotan (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cotand (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_count (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_cshift (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_dcmplx (gfc_expr *, gfc_expr *);
|
||||
|
|
@ -404,6 +408,7 @@ gfc_expr *gfc_simplify_shifta (gfc_expr *, gfc_expr *);
|
|||
gfc_expr *gfc_simplify_shiftl (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_shiftr (gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_sin (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_sind (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_sinh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_size (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_sizeof (gfc_expr *);
|
||||
|
|
@ -414,13 +419,13 @@ gfc_expr *gfc_simplify_spread (gfc_expr *, gfc_expr *, gfc_expr *);
|
|||
gfc_expr *gfc_simplify_sqrt (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_sum (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_tan (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_tand (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_tanh (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_this_image (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_tiny (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_trailz (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_transfer (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_transpose (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_trigd (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_trim (gfc_expr *);
|
||||
gfc_expr *gfc_simplify_ubound (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
gfc_expr *gfc_simplify_ucobound (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
|
|
@ -473,7 +478,6 @@ void gfc_resolve_conjg (gfc_expr *, gfc_expr *);
|
|||
void gfc_resolve_cos (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_cosh (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_count (gfc_expr *, gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_cotan (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_cshift (gfc_expr *, gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_ctime (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_dble (gfc_expr *, gfc_expr *);
|
||||
|
|
@ -612,7 +616,7 @@ void gfc_resolve_time8 (gfc_expr *);
|
|||
void gfc_resolve_transfer (gfc_expr *, gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_transpose (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_trigd (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_atrigd (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_trigd2 (gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_trim (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_ttynam (gfc_expr *, gfc_expr *);
|
||||
void gfc_resolve_ubound (gfc_expr *, gfc_expr *, gfc_expr *, gfc_expr *);
|
||||
|
|
|
|||
|
|
@ -689,86 +689,6 @@ gfc_resolve_cosh (gfc_expr *f, gfc_expr *x)
|
|||
}
|
||||
|
||||
|
||||
/* Our replacement of elements of a trig call with an EXPR_OP (e.g.
|
||||
multiplying the result or operands by a factor to convert to/from degrees)
|
||||
will cause the resolve_* function to be invoked again when resolving the
|
||||
freshly created EXPR_OP. See gfc_resolve_trigd, gfc_resolve_atrigd,
|
||||
gfc_resolve_cotan. We must observe this and avoid recursively creating
|
||||
layers of nested EXPR_OP expressions. */
|
||||
|
||||
static bool
|
||||
is_trig_resolved (gfc_expr *f)
|
||||
{
|
||||
/* We know we've already resolved the function if we see the lib call
|
||||
starting with '__'. */
|
||||
return (f->value.function.name != NULL
|
||||
&& gfc_str_startswith (f->value.function.name, "__"));
|
||||
}
|
||||
|
||||
/* Return a shallow copy of the function expression f. The original expression
|
||||
has its pointers cleared so that it may be freed without affecting the
|
||||
shallow copy. This is similar to gfc_copy_expr, but doesn't perform a deep
|
||||
copy of the argument list, allowing it to be reused somewhere else,
|
||||
setting the expression up nicely for gfc_replace_expr. */
|
||||
|
||||
static gfc_expr *
|
||||
copy_replace_function_shallow (gfc_expr *f)
|
||||
{
|
||||
gfc_expr *fcopy;
|
||||
gfc_actual_arglist *args;
|
||||
|
||||
/* The only thing deep-copied in gfc_copy_expr is args. */
|
||||
args = f->value.function.actual;
|
||||
f->value.function.actual = NULL;
|
||||
fcopy = gfc_copy_expr (f);
|
||||
fcopy->value.function.actual = args;
|
||||
|
||||
/* Clear the old function so the shallow copy is not affected if the old
|
||||
expression is freed. */
|
||||
f->value.function.name = NULL;
|
||||
f->value.function.isym = NULL;
|
||||
f->value.function.actual = NULL;
|
||||
f->value.function.esym = NULL;
|
||||
f->shape = NULL;
|
||||
f->ref = NULL;
|
||||
|
||||
return fcopy;
|
||||
}
|
||||
|
||||
|
||||
/* Resolve cotan = cos / sin. */
|
||||
|
||||
void
|
||||
gfc_resolve_cotan (gfc_expr *f, gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result, *fcopy, *sin;
|
||||
gfc_actual_arglist *sin_args;
|
||||
|
||||
if (is_trig_resolved (f))
|
||||
return;
|
||||
|
||||
/* Compute cotan (x) = cos (x) / sin (x). */
|
||||
f->value.function.isym = gfc_intrinsic_function_by_id (GFC_ISYM_COS);
|
||||
gfc_resolve_cos (f, x);
|
||||
|
||||
sin_args = gfc_get_actual_arglist ();
|
||||
sin_args->expr = gfc_copy_expr (x);
|
||||
|
||||
sin = gfc_get_expr ();
|
||||
sin->ts = f->ts;
|
||||
sin->where = f->where;
|
||||
sin->expr_type = EXPR_FUNCTION;
|
||||
sin->value.function.isym = gfc_intrinsic_function_by_id (GFC_ISYM_SIN);
|
||||
sin->value.function.actual = sin_args;
|
||||
gfc_resolve_sin (sin, sin_args->expr);
|
||||
|
||||
/* Replace f with cos/sin - we do this in place in f for the caller. */
|
||||
fcopy = copy_replace_function_shallow (f);
|
||||
result = gfc_divide (fcopy, sin);
|
||||
gfc_replace_expr (f, result);
|
||||
}
|
||||
|
||||
|
||||
void
|
||||
gfc_resolve_count (gfc_expr *f, gfc_expr *mask, gfc_expr *dim, gfc_expr *kind)
|
||||
{
|
||||
|
|
@ -2912,158 +2832,6 @@ gfc_resolve_tanh (gfc_expr *f, gfc_expr *x)
|
|||
}
|
||||
|
||||
|
||||
/* Build an expression for converting degrees to radians. */
|
||||
|
||||
static gfc_expr *
|
||||
get_radians (gfc_expr *deg)
|
||||
{
|
||||
gfc_expr *result, *factor;
|
||||
gfc_actual_arglist *mod_args;
|
||||
|
||||
gcc_assert (deg->ts.type == BT_REAL);
|
||||
|
||||
/* Set deg = deg % 360 to avoid offsets from large angles. */
|
||||
factor = gfc_get_constant_expr (deg->ts.type, deg->ts.kind, °->where);
|
||||
mpfr_set_d (factor->value.real, 360.0, GFC_RND_MODE);
|
||||
|
||||
mod_args = gfc_get_actual_arglist ();
|
||||
mod_args->expr = deg;
|
||||
mod_args->next = gfc_get_actual_arglist ();
|
||||
mod_args->next->expr = factor;
|
||||
|
||||
result = gfc_get_expr ();
|
||||
result->ts = deg->ts;
|
||||
result->where = deg->where;
|
||||
result->expr_type = EXPR_FUNCTION;
|
||||
result->value.function.isym = gfc_intrinsic_function_by_id (GFC_ISYM_MOD);
|
||||
result->value.function.actual = mod_args;
|
||||
|
||||
/* Set factor = pi / 180. */
|
||||
factor = gfc_get_constant_expr (deg->ts.type, deg->ts.kind, °->where);
|
||||
mpfr_const_pi (factor->value.real, GFC_RND_MODE);
|
||||
mpfr_div_ui (factor->value.real, factor->value.real, 180, GFC_RND_MODE);
|
||||
|
||||
/* Result is rad = (deg % 360) * (pi / 180). */
|
||||
result = gfc_multiply (result, factor);
|
||||
return result;
|
||||
}
|
||||
|
||||
|
||||
/* Build an expression for converting radians to degrees. */
|
||||
|
||||
static gfc_expr *
|
||||
get_degrees (gfc_expr *rad)
|
||||
{
|
||||
gfc_expr *result, *factor;
|
||||
gfc_actual_arglist *mod_args;
|
||||
mpfr_t tmp;
|
||||
|
||||
gcc_assert (rad->ts.type == BT_REAL);
|
||||
|
||||
/* Set rad = rad % 2pi to avoid offsets from large angles. */
|
||||
factor = gfc_get_constant_expr (rad->ts.type, rad->ts.kind, &rad->where);
|
||||
mpfr_const_pi (factor->value.real, GFC_RND_MODE);
|
||||
mpfr_mul_ui (factor->value.real, factor->value.real, 2, GFC_RND_MODE);
|
||||
|
||||
mod_args = gfc_get_actual_arglist ();
|
||||
mod_args->expr = rad;
|
||||
mod_args->next = gfc_get_actual_arglist ();
|
||||
mod_args->next->expr = factor;
|
||||
|
||||
result = gfc_get_expr ();
|
||||
result->ts = rad->ts;
|
||||
result->where = rad->where;
|
||||
result->expr_type = EXPR_FUNCTION;
|
||||
result->value.function.isym = gfc_intrinsic_function_by_id (GFC_ISYM_MOD);
|
||||
result->value.function.actual = mod_args;
|
||||
|
||||
/* Set factor = 180 / pi. */
|
||||
factor = gfc_get_constant_expr (rad->ts.type, rad->ts.kind, &rad->where);
|
||||
mpfr_set_ui (factor->value.real, 180, GFC_RND_MODE);
|
||||
mpfr_init (tmp);
|
||||
mpfr_const_pi (tmp, GFC_RND_MODE);
|
||||
mpfr_div (factor->value.real, factor->value.real, tmp, GFC_RND_MODE);
|
||||
mpfr_clear (tmp);
|
||||
|
||||
/* Result is deg = (rad % 2pi) * (180 / pi). */
|
||||
result = gfc_multiply (result, factor);
|
||||
return result;
|
||||
}
|
||||
|
||||
|
||||
/* Resolve a call to a trig function. */
|
||||
|
||||
static void
|
||||
resolve_trig_call (gfc_expr *f, gfc_expr *x)
|
||||
{
|
||||
switch (f->value.function.isym->id)
|
||||
{
|
||||
case GFC_ISYM_ACOS:
|
||||
return gfc_resolve_acos (f, x);
|
||||
case GFC_ISYM_ASIN:
|
||||
return gfc_resolve_asin (f, x);
|
||||
case GFC_ISYM_ATAN:
|
||||
return gfc_resolve_atan (f, x);
|
||||
case GFC_ISYM_ATAN2:
|
||||
/* NB. arg3 is unused for atan2 */
|
||||
return gfc_resolve_atan2 (f, x, NULL);
|
||||
case GFC_ISYM_COS:
|
||||
return gfc_resolve_cos (f, x);
|
||||
case GFC_ISYM_COTAN:
|
||||
return gfc_resolve_cotan (f, x);
|
||||
case GFC_ISYM_SIN:
|
||||
return gfc_resolve_sin (f, x);
|
||||
case GFC_ISYM_TAN:
|
||||
return gfc_resolve_tan (f, x);
|
||||
default:
|
||||
gcc_unreachable ();
|
||||
}
|
||||
}
|
||||
|
||||
/* Resolve degree trig function as trigd (x) = trig (radians (x)). */
|
||||
|
||||
void
|
||||
gfc_resolve_trigd (gfc_expr *f, gfc_expr *x)
|
||||
{
|
||||
if (is_trig_resolved (f))
|
||||
return;
|
||||
|
||||
x = get_radians (x);
|
||||
f->value.function.actual->expr = x;
|
||||
|
||||
resolve_trig_call (f, x);
|
||||
}
|
||||
|
||||
|
||||
/* Resolve degree inverse trig function as atrigd (x) = degrees (atrig (x)). */
|
||||
|
||||
void
|
||||
gfc_resolve_atrigd (gfc_expr *f, gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result, *fcopy;
|
||||
|
||||
if (is_trig_resolved (f))
|
||||
return;
|
||||
|
||||
resolve_trig_call (f, x);
|
||||
|
||||
fcopy = copy_replace_function_shallow (f);
|
||||
result = get_degrees (fcopy);
|
||||
gfc_replace_expr (f, result);
|
||||
}
|
||||
|
||||
|
||||
/* Resolve atan2d(x) = degrees(atan2(x)). */
|
||||
|
||||
void
|
||||
gfc_resolve_atan2d (gfc_expr *f, gfc_expr *x, gfc_expr *y ATTRIBUTE_UNUSED)
|
||||
{
|
||||
/* Note that we lose the second arg here - that's okay because it is
|
||||
unused in gfc_resolve_atan2 anyway. */
|
||||
gfc_resolve_atrigd (f, x);
|
||||
}
|
||||
|
||||
|
||||
/* Resolve failed_images (team, kind). */
|
||||
|
||||
void
|
||||
|
|
@ -3298,6 +3066,30 @@ gfc_resolve_trim (gfc_expr *f, gfc_expr *string)
|
|||
}
|
||||
|
||||
|
||||
/* Resolve the degree trignometric functions. This amounts to setting
|
||||
the function return type-spec from its argument and building a
|
||||
library function names of the form _gfortran_sind_r4. */
|
||||
|
||||
void
|
||||
gfc_resolve_trigd (gfc_expr *f, gfc_expr *x)
|
||||
{
|
||||
f->ts = x->ts;
|
||||
f->value.function.name
|
||||
= gfc_get_string (PREFIX ("%s_%c%d"), f->value.function.isym->name,
|
||||
gfc_type_letter (x->ts.type), x->ts.kind);
|
||||
}
|
||||
|
||||
|
||||
void
|
||||
gfc_resolve_trigd2 (gfc_expr *f, gfc_expr *y, gfc_expr *x)
|
||||
{
|
||||
f->ts = y->ts;
|
||||
f->value.function.name
|
||||
= gfc_get_string (PREFIX ("%s_%d"), f->value.function.isym->name,
|
||||
x->ts.kind);
|
||||
}
|
||||
|
||||
|
||||
void
|
||||
gfc_resolve_ubound (gfc_expr *f, gfc_expr *array, gfc_expr *dim, gfc_expr *kind)
|
||||
{
|
||||
|
|
|
|||
|
|
@ -1107,6 +1107,91 @@ gfc_simplify_asin (gfc_expr *x)
|
|||
}
|
||||
|
||||
|
||||
/* Convert radians to degrees, i.e., x * 180 / pi. */
|
||||
|
||||
static void
|
||||
rad2deg (mpfr_t x)
|
||||
{
|
||||
mpfr_t tmp;
|
||||
|
||||
mpfr_init (tmp);
|
||||
mpfr_const_pi (tmp, GFC_RND_MODE);
|
||||
mpfr_mul_ui (x, x, 180, GFC_RND_MODE);
|
||||
mpfr_div (x, x, tmp, GFC_RND_MODE);
|
||||
mpfr_clear (tmp);
|
||||
}
|
||||
|
||||
|
||||
/* Simplify ACOSD(X) where the returned value has units of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_acosd (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
if (mpfr_cmp_si (x->value.real, 1) > 0
|
||||
|| mpfr_cmp_si (x->value.real, -1) < 0)
|
||||
{
|
||||
gfc_error ("Argument of ACOSD at %L must be between -1 and 1",
|
||||
&x->where);
|
||||
return &gfc_bad_expr;
|
||||
}
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_acos (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
rad2deg (result->value.real);
|
||||
|
||||
return range_check (result, "ACOSD");
|
||||
}
|
||||
|
||||
|
||||
/* Simplify asind (x) where the returned value has units of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_asind (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
if (mpfr_cmp_si (x->value.real, 1) > 0
|
||||
|| mpfr_cmp_si (x->value.real, -1) < 0)
|
||||
{
|
||||
gfc_error ("Argument of ASIND at %L must be between -1 and 1",
|
||||
&x->where);
|
||||
return &gfc_bad_expr;
|
||||
}
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_asin (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
rad2deg (result->value.real);
|
||||
|
||||
return range_check (result, "ASIND");
|
||||
}
|
||||
|
||||
|
||||
/* Simplify atand (x) where the returned value has units of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_atand (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_atan (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
rad2deg (result->value.real);
|
||||
|
||||
return range_check (result, "ATAND");
|
||||
}
|
||||
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_asinh (gfc_expr *x)
|
||||
{
|
||||
|
|
@ -1208,8 +1293,8 @@ gfc_simplify_atan2 (gfc_expr *y, gfc_expr *x)
|
|||
|
||||
if (mpfr_zero_p (y->value.real) && mpfr_zero_p (x->value.real))
|
||||
{
|
||||
gfc_error ("If first argument of ATAN2 %L is zero, then the "
|
||||
"second argument must not be zero", &x->where);
|
||||
gfc_error ("If first argument of ATAN2 at %L is zero, then the "
|
||||
"second argument must not be zero", &y->where);
|
||||
return &gfc_bad_expr;
|
||||
}
|
||||
|
||||
|
|
@ -1736,146 +1821,32 @@ gfc_simplify_conjg (gfc_expr *e)
|
|||
return range_check (result, "CONJG");
|
||||
}
|
||||
|
||||
/* Return the simplification of the constant expression in icall, or NULL
|
||||
if the expression is not constant. */
|
||||
|
||||
static gfc_expr *
|
||||
simplify_trig_call (gfc_expr *icall)
|
||||
{
|
||||
gfc_isym_id func = icall->value.function.isym->id;
|
||||
gfc_expr *x = icall->value.function.actual->expr;
|
||||
|
||||
/* The actual simplifiers will return NULL for non-constant x. */
|
||||
switch (func)
|
||||
{
|
||||
case GFC_ISYM_ACOS:
|
||||
return gfc_simplify_acos (x);
|
||||
case GFC_ISYM_ASIN:
|
||||
return gfc_simplify_asin (x);
|
||||
case GFC_ISYM_ATAN:
|
||||
return gfc_simplify_atan (x);
|
||||
case GFC_ISYM_COS:
|
||||
return gfc_simplify_cos (x);
|
||||
case GFC_ISYM_COTAN:
|
||||
return gfc_simplify_cotan (x);
|
||||
case GFC_ISYM_SIN:
|
||||
return gfc_simplify_sin (x);
|
||||
case GFC_ISYM_TAN:
|
||||
return gfc_simplify_tan (x);
|
||||
default:
|
||||
gfc_internal_error ("in simplify_trig_call(): Bad intrinsic");
|
||||
}
|
||||
}
|
||||
|
||||
/* Convert a floating-point number from radians to degrees. */
|
||||
|
||||
static void
|
||||
degrees_f (mpfr_t x, mpfr_rnd_t rnd_mode)
|
||||
{
|
||||
mpfr_t tmp;
|
||||
mpfr_init (tmp);
|
||||
|
||||
/* Set x = x * 180. */
|
||||
mpfr_mul_ui (x, x, 180, rnd_mode);
|
||||
|
||||
/* Set x = x / pi. */
|
||||
mpfr_const_pi (tmp, rnd_mode);
|
||||
mpfr_div (x, x, tmp, rnd_mode);
|
||||
|
||||
mpfr_clear (tmp);
|
||||
}
|
||||
|
||||
/* Convert a floating-point number from degrees to radians. */
|
||||
|
||||
static void
|
||||
radians_f (mpfr_t x, mpfr_rnd_t rnd_mode)
|
||||
{
|
||||
mpfr_t tmp;
|
||||
mpfr_init (tmp);
|
||||
|
||||
/* Set x = x % 360 to avoid offsets with large angles. */
|
||||
mpfr_set_ui (tmp, 360, rnd_mode);
|
||||
mpfr_fmod (tmp, x, tmp, rnd_mode);
|
||||
|
||||
/* Set x = x * pi. */
|
||||
mpfr_const_pi (tmp, rnd_mode);
|
||||
mpfr_mul (x, x, tmp, rnd_mode);
|
||||
|
||||
/* Set x = x / 180. */
|
||||
mpfr_div_ui (x, x, 180, rnd_mode);
|
||||
|
||||
mpfr_clear (tmp);
|
||||
}
|
||||
|
||||
|
||||
/* Convert argument to radians before calling a trig function. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_trigd (gfc_expr *icall)
|
||||
{
|
||||
gfc_expr *arg;
|
||||
|
||||
arg = icall->value.function.actual->expr;
|
||||
|
||||
if (arg->ts.type != BT_REAL)
|
||||
gfc_internal_error ("in gfc_simplify_trigd(): Bad type");
|
||||
|
||||
if (arg->expr_type == EXPR_CONSTANT)
|
||||
/* Convert constant to radians before passing off to simplifier. */
|
||||
radians_f (arg->value.real, GFC_RND_MODE);
|
||||
|
||||
/* Let the usual simplifier take over - we just simplified the arg. */
|
||||
return simplify_trig_call (icall);
|
||||
}
|
||||
|
||||
/* Convert result of an inverse trig function to degrees. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_atrigd (gfc_expr *icall)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (icall->value.function.actual->expr->ts.type != BT_REAL)
|
||||
gfc_internal_error ("in gfc_simplify_atrigd(): Bad type");
|
||||
|
||||
/* See if another simplifier has work to do first. */
|
||||
result = simplify_trig_call (icall);
|
||||
|
||||
if (result && result->expr_type == EXPR_CONSTANT)
|
||||
{
|
||||
/* Convert constant to degrees after passing off to actual simplifier. */
|
||||
degrees_f (result->value.real, GFC_RND_MODE);
|
||||
return result;
|
||||
}
|
||||
|
||||
/* Let gfc_resolve_atrigd take care of the non-constant case. */
|
||||
return NULL;
|
||||
}
|
||||
|
||||
/* Convert the result of atan2 to degrees. */
|
||||
/* Simplify atan2d (x) where the unit is degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_atan2d (gfc_expr *y, gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->ts.type != BT_REAL || y->ts.type != BT_REAL)
|
||||
gfc_internal_error ("in gfc_simplify_atan2d(): Bad type");
|
||||
if (x->expr_type != EXPR_CONSTANT || y->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
if (x->expr_type == EXPR_CONSTANT && y->expr_type == EXPR_CONSTANT)
|
||||
if (mpfr_zero_p (y->value.real) && mpfr_zero_p (x->value.real))
|
||||
{
|
||||
result = gfc_simplify_atan2 (y, x);
|
||||
if (result != NULL)
|
||||
{
|
||||
degrees_f (result->value.real, GFC_RND_MODE);
|
||||
return result;
|
||||
}
|
||||
gfc_error ("If first argument of ATAN2D at %L is zero, then the "
|
||||
"second argument must not be zero", &y->where);
|
||||
return &gfc_bad_expr;
|
||||
}
|
||||
|
||||
/* Let gfc_resolve_atan2d take care of the non-constant case. */
|
||||
return NULL;
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_atan2 (result->value.real, y->value.real, x->value.real, GFC_RND_MODE);
|
||||
rad2deg (result->value.real);
|
||||
|
||||
return range_check (result, "ATAN2D");
|
||||
}
|
||||
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_cos (gfc_expr *x)
|
||||
{
|
||||
|
|
@ -1905,6 +1876,101 @@ gfc_simplify_cos (gfc_expr *x)
|
|||
}
|
||||
|
||||
|
||||
static void
|
||||
deg2rad (mpfr_t x)
|
||||
{
|
||||
mpfr_t d2r;
|
||||
|
||||
mpfr_init (d2r);
|
||||
mpfr_const_pi (d2r, GFC_RND_MODE);
|
||||
mpfr_div_ui (d2r, d2r, 180, GFC_RND_MODE);
|
||||
mpfr_mul (x, x, d2r, GFC_RND_MODE);
|
||||
mpfr_clear (d2r);
|
||||
}
|
||||
|
||||
|
||||
/* Simplification routines for SIND, COSD, TAND. */
|
||||
#include "trigd_fe.inc"
|
||||
|
||||
|
||||
/* Simplify COSD(X) where X has the unit of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_cosd (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_set (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
simplify_cosd (result->value.real);
|
||||
|
||||
return range_check (result, "COSD");
|
||||
}
|
||||
|
||||
|
||||
/* Simplify SIND(X) where X has the unit of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_sind (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_set (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
simplify_sind (result->value.real);
|
||||
|
||||
return range_check (result, "SIND");
|
||||
}
|
||||
|
||||
|
||||
/* Simplify TAND(X) where X has the unit of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_tand (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_set (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
simplify_tand (result->value.real);
|
||||
|
||||
return range_check (result, "TAND");
|
||||
}
|
||||
|
||||
|
||||
/* Simplify COTAND(X) where X has the unit of degree. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_cotand (gfc_expr *x)
|
||||
{
|
||||
gfc_expr *result;
|
||||
|
||||
if (x->expr_type != EXPR_CONSTANT)
|
||||
return NULL;
|
||||
|
||||
/* Implement COTAND = -TAND(x+90).
|
||||
TAND offers correct exact values for multiples of 30 degrees.
|
||||
This implementation is also compatible with the behavior of some legacy
|
||||
compilers. Keep this consistent with gfc_conv_intrinsic_cotand. */
|
||||
result = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
|
||||
mpfr_set (result->value.real, x->value.real, GFC_RND_MODE);
|
||||
mpfr_add_ui (result->value.real, result->value.real, 90, GFC_RND_MODE);
|
||||
simplify_tand (result->value.real);
|
||||
mpfr_neg (result->value.real, result->value.real, GFC_RND_MODE);
|
||||
|
||||
return range_check (result, "COTAND");
|
||||
}
|
||||
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_cosh (gfc_expr *x)
|
||||
{
|
||||
|
|
@ -7778,6 +7844,8 @@ gfc_simplify_sum (gfc_expr *array, gfc_expr *dim, gfc_expr *mask)
|
|||
}
|
||||
|
||||
|
||||
/* Simplify COTAN(X) where X has the unit of radian. */
|
||||
|
||||
gfc_expr *
|
||||
gfc_simplify_cotan (gfc_expr *x)
|
||||
{
|
||||
|
|
@ -7799,8 +7867,8 @@ gfc_simplify_cotan (gfc_expr *x)
|
|||
/* There is no builtin mpc_cot, so compute cot = cos / sin. */
|
||||
val = &result->value.complex;
|
||||
mpc_init2 (swp, mpfr_get_default_prec ());
|
||||
mpc_cos (swp, x->value.complex, GFC_MPC_RND_MODE);
|
||||
mpc_sin (*val, x->value.complex, GFC_MPC_RND_MODE);
|
||||
mpc_sin_cos (*val, swp, x->value.complex, GFC_MPC_RND_MODE,
|
||||
GFC_MPC_RND_MODE);
|
||||
mpc_div (*val, swp, *val, GFC_MPC_RND_MODE);
|
||||
mpc_clear (swp);
|
||||
break;
|
||||
|
|
|
|||
|
|
@ -120,6 +120,9 @@ static GTY(()) gfc_intrinsic_map_t gfc_intrinsic_map[] =
|
|||
|
||||
/* Functions in libgfortran. */
|
||||
LIB_FUNCTION (ERFC_SCALED, "erfc_scaled", false),
|
||||
LIB_FUNCTION (SIND, "sind", false),
|
||||
LIB_FUNCTION (COSD, "cosd", false),
|
||||
LIB_FUNCTION (TAND, "tand", false),
|
||||
|
||||
/* End the list. */
|
||||
LIB_FUNCTION (NONE, NULL, false)
|
||||
|
|
@ -4385,6 +4388,181 @@ gfc_conv_intrinsic_anyall (gfc_se * se, gfc_expr * expr, enum tree_code op)
|
|||
se->expr = resvar;
|
||||
}
|
||||
|
||||
|
||||
/* Generate the constant 180 / pi, which is used in the conversion
|
||||
of acosd(), asind(), atand(), atan2d(). */
|
||||
|
||||
static tree
|
||||
rad2deg (int kind)
|
||||
{
|
||||
tree retval;
|
||||
mpfr_t pi, t0;
|
||||
|
||||
gfc_set_model_kind (kind);
|
||||
mpfr_init (pi);
|
||||
mpfr_init (t0);
|
||||
mpfr_set_si (t0, 180, GFC_RND_MODE);
|
||||
mpfr_const_pi (pi, GFC_RND_MODE);
|
||||
mpfr_div (t0, t0, pi, GFC_RND_MODE);
|
||||
retval = gfc_conv_mpfr_to_tree (t0, kind, 0);
|
||||
mpfr_clear (t0);
|
||||
mpfr_clear (pi);
|
||||
return retval;
|
||||
}
|
||||
|
||||
|
||||
/* ACOSD(x) is translated into ACOS(x) * 180 / pi.
|
||||
ASIND(x) is translated into ASIN(x) * 180 / pi.
|
||||
ATAND(x) is translated into ATAN(x) * 180 / pi. */
|
||||
|
||||
static void
|
||||
gfc_conv_intrinsic_atrigd (gfc_se * se, gfc_expr * expr, gfc_isym_id id)
|
||||
{
|
||||
tree arg;
|
||||
tree atrigd;
|
||||
tree type;
|
||||
|
||||
type = gfc_typenode_for_spec (&expr->ts);
|
||||
|
||||
gfc_conv_intrinsic_function_args (se, expr, &arg, 1);
|
||||
|
||||
if (id == GFC_ISYM_ACOSD)
|
||||
atrigd = gfc_builtin_decl_for_float_kind (BUILT_IN_ACOS, expr->ts.kind);
|
||||
else if (id == GFC_ISYM_ASIND)
|
||||
atrigd = gfc_builtin_decl_for_float_kind (BUILT_IN_ASIN, expr->ts.kind);
|
||||
else if (id == GFC_ISYM_ATAND)
|
||||
atrigd = gfc_builtin_decl_for_float_kind (BUILT_IN_ATAN, expr->ts.kind);
|
||||
else
|
||||
gcc_unreachable ();
|
||||
|
||||
atrigd = build_call_expr_loc (input_location, atrigd, 1, arg);
|
||||
|
||||
se->expr = fold_build2_loc (input_location, MULT_EXPR, type, atrigd,
|
||||
fold_convert (type, rad2deg (expr->ts.kind)));
|
||||
}
|
||||
|
||||
|
||||
/* COTAN(X) is translated into -TAN(X+PI/2) for REAL argument and
|
||||
COS(X) / SIN(X) for COMPLEX argument. */
|
||||
|
||||
static void
|
||||
gfc_conv_intrinsic_cotan (gfc_se *se, gfc_expr *expr)
|
||||
{
|
||||
gfc_intrinsic_map_t *m;
|
||||
tree arg;
|
||||
tree type;
|
||||
|
||||
type = gfc_typenode_for_spec (&expr->ts);
|
||||
gfc_conv_intrinsic_function_args (se, expr, &arg, 1);
|
||||
|
||||
if (expr->ts.type == BT_REAL)
|
||||
{
|
||||
tree tan;
|
||||
tree tmp;
|
||||
mpfr_t pio2;
|
||||
|
||||
/* Create pi/2. */
|
||||
gfc_set_model_kind (expr->ts.kind);
|
||||
mpfr_init (pio2);
|
||||
mpfr_const_pi (pio2, GFC_RND_MODE);
|
||||
mpfr_div_ui (pio2, pio2, 2, GFC_RND_MODE);
|
||||
tmp = gfc_conv_mpfr_to_tree (pio2, expr->ts.kind, 0);
|
||||
mpfr_clear (pio2);
|
||||
|
||||
/* Find tan builtin function. */
|
||||
m = gfc_intrinsic_map;
|
||||
for (; m->id != GFC_ISYM_NONE || m->double_built_in != END_BUILTINS; m++)
|
||||
if (GFC_ISYM_TAN == m->id)
|
||||
break;
|
||||
|
||||
tmp = fold_build2_loc (input_location, PLUS_EXPR, type, arg, tmp);
|
||||
tan = gfc_get_intrinsic_lib_fndecl (m, expr);
|
||||
tan = build_call_expr_loc (input_location, tan, 1, tmp);
|
||||
se->expr = fold_build1_loc (input_location, NEGATE_EXPR, type, tan);
|
||||
}
|
||||
else
|
||||
{
|
||||
tree sin;
|
||||
tree cos;
|
||||
|
||||
/* Find cos builtin function. */
|
||||
m = gfc_intrinsic_map;
|
||||
for (; m->id != GFC_ISYM_NONE || m->double_built_in != END_BUILTINS; m++)
|
||||
if (GFC_ISYM_COS == m->id)
|
||||
break;
|
||||
|
||||
cos = gfc_get_intrinsic_lib_fndecl (m, expr);
|
||||
cos = build_call_expr_loc (input_location, cos, 1, arg);
|
||||
|
||||
/* Find sin builtin function. */
|
||||
m = gfc_intrinsic_map;
|
||||
for (; m->id != GFC_ISYM_NONE || m->double_built_in != END_BUILTINS; m++)
|
||||
if (GFC_ISYM_SIN == m->id)
|
||||
break;
|
||||
|
||||
sin = gfc_get_intrinsic_lib_fndecl (m, expr);
|
||||
sin = build_call_expr_loc (input_location, sin, 1, arg);
|
||||
|
||||
/* Divide cos by sin. */
|
||||
se->expr = fold_build2_loc (input_location, RDIV_EXPR, type, cos, sin);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
/* COTAND(X) is translated into -TAND(X+90) for REAL argument. */
|
||||
|
||||
static void
|
||||
gfc_conv_intrinsic_cotand (gfc_se *se, gfc_expr *expr)
|
||||
{
|
||||
tree arg;
|
||||
tree type;
|
||||
tree ninety_tree;
|
||||
mpfr_t ninety;
|
||||
|
||||
type = gfc_typenode_for_spec (&expr->ts);
|
||||
gfc_conv_intrinsic_function_args (se, expr, &arg, 1);
|
||||
|
||||
gfc_set_model_kind (expr->ts.kind);
|
||||
|
||||
/* Build the tree for x + 90. */
|
||||
mpfr_init_set_ui (ninety, 90, GFC_RND_MODE);
|
||||
ninety_tree = gfc_conv_mpfr_to_tree (ninety, expr->ts.kind, 0);
|
||||
arg = fold_build2_loc (input_location, PLUS_EXPR, type, arg, ninety_tree);
|
||||
mpfr_clear (ninety);
|
||||
|
||||
/* Find tand. */
|
||||
gfc_intrinsic_map_t *m = gfc_intrinsic_map;
|
||||
for (; m->id != GFC_ISYM_NONE || m->double_built_in != END_BUILTINS; m++)
|
||||
if (GFC_ISYM_TAND == m->id)
|
||||
break;
|
||||
|
||||
tree tand = gfc_get_intrinsic_lib_fndecl (m, expr);
|
||||
tand = build_call_expr_loc (input_location, tand, 1, arg);
|
||||
|
||||
se->expr = fold_build1_loc (input_location, NEGATE_EXPR, type, tand);
|
||||
}
|
||||
|
||||
|
||||
/* ATAN2D(Y,X) is translated into ATAN2(Y,X) * 180 / PI. */
|
||||
|
||||
static void
|
||||
gfc_conv_intrinsic_atan2d (gfc_se *se, gfc_expr *expr)
|
||||
{
|
||||
tree args[2];
|
||||
tree atan2d;
|
||||
tree type;
|
||||
|
||||
gfc_conv_intrinsic_function_args (se, expr, args, 2);
|
||||
type = TREE_TYPE (args[0]);
|
||||
|
||||
atan2d = gfc_builtin_decl_for_float_kind (BUILT_IN_ATAN2, expr->ts.kind);
|
||||
atan2d = build_call_expr_loc (input_location, atan2d, 2, args[0], args[1]);
|
||||
|
||||
se->expr = fold_build2_loc (input_location, MULT_EXPR, type, atan2d,
|
||||
rad2deg (expr->ts.kind));
|
||||
}
|
||||
|
||||
|
||||
/* COUNT(A) = Number of true elements in A. */
|
||||
static void
|
||||
gfc_conv_intrinsic_count (gfc_se * se, gfc_expr * expr)
|
||||
|
|
@ -9895,6 +10073,24 @@ gfc_conv_intrinsic_function (gfc_se * se, gfc_expr * expr)
|
|||
gfc_conv_intrinsic_anyall (se, expr, NE_EXPR);
|
||||
break;
|
||||
|
||||
case GFC_ISYM_ACOSD:
|
||||
case GFC_ISYM_ASIND:
|
||||
case GFC_ISYM_ATAND:
|
||||
gfc_conv_intrinsic_atrigd (se, expr, expr->value.function.isym->id);
|
||||
break;
|
||||
|
||||
case GFC_ISYM_COTAN:
|
||||
gfc_conv_intrinsic_cotan (se, expr);
|
||||
break;
|
||||
|
||||
case GFC_ISYM_COTAND:
|
||||
gfc_conv_intrinsic_cotand (se, expr);
|
||||
break;
|
||||
|
||||
case GFC_ISYM_ATAN2D:
|
||||
gfc_conv_intrinsic_atan2d (se, expr);
|
||||
break;
|
||||
|
||||
case GFC_ISYM_BTEST:
|
||||
gfc_conv_intrinsic_btest (se, expr);
|
||||
break;
|
||||
|
|
|
|||
|
|
@ -0,0 +1,50 @@
|
|||
|
||||
|
||||
/* Stub for defining degree-valued trigonemetric functions using MPFR.
|
||||
Copyright (C) 2000-2020 Free Software Foundation, Inc.
|
||||
Contributed by Fritz Reese <foreese@gcc.gnu.org>
|
||||
and Steven G. Kargl <kargl@gcc.gnu.org>
|
||||
|
||||
This file is part of GCC.
|
||||
|
||||
GCC is free software; you can redistribute it and/or modify it under
|
||||
the terms of the GNU General Public License as published by the Free
|
||||
Software Foundation; either version 3, or (at your option) any later
|
||||
version.
|
||||
|
||||
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
|
||||
WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
||||
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
||||
for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with GCC; see the file COPYING3. If not see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#define FTYPE mpfr_t
|
||||
#define RETTYPE void
|
||||
#define RETURN(x) do { } while (0)
|
||||
#define ITYPE mpz_t
|
||||
|
||||
#define ISFINITE(x) mpfr_number_p(x)
|
||||
#define D2R(x) deg2rad(x)
|
||||
|
||||
#define SIND simplify_sind
|
||||
#define COSD simplify_cosd
|
||||
#define TAND simplify_tand
|
||||
|
||||
#ifdef HAVE_GFC_REAL_16
|
||||
#define COSD30 8.66025403784438646763723170752936183e-01Q
|
||||
#else
|
||||
#define COSD30 8.66025403784438646763723170752936183e-01L
|
||||
#endif
|
||||
|
||||
#define SET_COSD30(x) mpfr_set_ld((x), COSD30, GFC_RND_MODE)
|
||||
|
||||
static RETTYPE SIND (FTYPE);
|
||||
static RETTYPE COSD (FTYPE);
|
||||
static RETTYPE TAND (FTYPE);
|
||||
|
||||
#include "../../libgfortran/intrinsics/trigd.inc"
|
||||
|
||||
/* vim: set ft=c: */
|
||||
|
|
@ -1,3 +1,12 @@
|
|||
2020-04-01 Fritz Reese <foreese@gcc.gnu.org>
|
||||
|
||||
PR fortran/93871
|
||||
* gfortran.dg/dec_math.f90: Extend coverage to real(10) and real(16).
|
||||
* gfortran.dg/dec_math_2.f90: New test.
|
||||
* gfortran.dg/dec_math_3.f90: Likewise.
|
||||
* gfortran.dg/dec_math_4.f90: Likewise.
|
||||
* gfortran.dg/dec_math_5.f90: Likewise.
|
||||
|
||||
2020-04-07 Andre Vieira <andre.simoesdiasvieira@arm.com>
|
||||
|
||||
* g++.target/arm/mve.exp: New.
|
||||
|
|
|
|||
|
|
@ -1,289 +1,700 @@
|
|||
! { dg-options "-fdec-math" }
|
||||
! { dg-options "-cpp -std=gnu" }
|
||||
! { dg-do run }
|
||||
!
|
||||
! Test extra math intrinsics offered by -fdec-math.
|
||||
! Test extra math intrinsics formerly offered by -fdec-math,
|
||||
! now included with -std=gnu or -std=legacy.
|
||||
!
|
||||
|
||||
subroutine cmpf(f1, f2, tolerance, str)
|
||||
module dec_math
|
||||
|
||||
implicit none
|
||||
|
||||
real(4), parameter :: pi_f = 3.14159274_4
|
||||
real(8), parameter :: pi_d = 3.1415926535897931_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10), parameter :: pi_l = 3.1415926535897932383_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16), parameter :: pi_q = 3.1415926535897932384626433832795028_16
|
||||
#endif
|
||||
|
||||
real(4), parameter :: r2d_f = 180.0_4 / pi_f
|
||||
real(8), parameter :: r2d_d = 180.0_8 / pi_d
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10), parameter :: r2d_l = 180.0_10 / pi_l
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16), parameter :: r2d_q = 180.0_16 / pi_q
|
||||
#endif
|
||||
|
||||
contains
|
||||
|
||||
function d2rf(x)
|
||||
implicit none
|
||||
real(4), intent(in) :: f1, f2, tolerance
|
||||
real(4), intent(in) :: x
|
||||
real(4) :: d2rf
|
||||
d2rf = (x * pi_f) / 180.0_4
|
||||
endfunction
|
||||
|
||||
subroutine cmpf(x, f1, f2, tolerance, str)
|
||||
implicit none
|
||||
real(4), intent(in) :: x, f1, f2, tolerance
|
||||
character(len=*), intent(in) :: str
|
||||
if ( abs(f2 - f1) .gt. tolerance ) then
|
||||
write (*, '(A,F12.6,F12.6)') str, f1, f2
|
||||
write (*, '(A,A,F12.6,A,F12.6,F12.6)') str, "(", x, ")", f1, f2
|
||||
STOP 1
|
||||
endif
|
||||
endsubroutine
|
||||
|
||||
subroutine cmpd(d1, d2, tolerance, str)
|
||||
function d2rd(x)
|
||||
implicit none
|
||||
real(8), intent(in) :: d1, d2, tolerance
|
||||
real(8), intent(in) :: x
|
||||
real(8) :: d2rd
|
||||
d2rd = (x * pi_d) / 180.0_8
|
||||
endfunction
|
||||
|
||||
subroutine cmpd(x, d1, d2, tolerance, str)
|
||||
implicit none
|
||||
real(8), intent(in) :: x, d1, d2, tolerance
|
||||
character(len=*), intent(in) :: str
|
||||
if ( dabs(d2 - d1) .gt. tolerance ) then
|
||||
write (*, '(A,F12.6,F12.6)') str, d1, d2
|
||||
write (*, '(A,A,F18.14,A,F18.14,F18.14)') str, "(", x, ")", d1, d2
|
||||
STOP 2
|
||||
endif
|
||||
endsubroutine
|
||||
|
||||
implicit none
|
||||
#ifdef __GFC_REAL_10__
|
||||
function d2rl(x)
|
||||
implicit none
|
||||
real(10), intent(in) :: x
|
||||
real(10) :: d2rl
|
||||
d2rl = (x * pi_l) / 180.0_10
|
||||
endfunction
|
||||
|
||||
real(4), parameter :: pi_f = (4.0_4 * atan(1.0_4))
|
||||
real(8), parameter :: pi_d = (4.0_8 * datan(1.0_8))
|
||||
real(4), parameter :: r2d_f = 180.0_4 / pi_f
|
||||
real(8), parameter :: r2d_d = 180.0_8 / pi_d
|
||||
real(4), parameter :: d2r_f = pi_f / 180.0_4
|
||||
real(8), parameter :: d2r_d = pi_d / 180.0_8
|
||||
subroutine cmpl(x, f1, f2, tolerance, str)
|
||||
implicit none
|
||||
real(10), intent(in) :: x, f1, f2, tolerance
|
||||
character(len=*), intent(in) :: str
|
||||
if ( abs(f2 - f1) .gt. tolerance ) then
|
||||
write (*, '(A,A,F21.17,A,F21.17,F21.17)') str, "(", x, ")", f1, f2
|
||||
STOP 1
|
||||
endif
|
||||
endsubroutine
|
||||
#endif
|
||||
|
||||
#ifdef __GFC_REAL_16__
|
||||
function d2rq(x)
|
||||
implicit none
|
||||
real(16), intent(in) :: x
|
||||
real(16) :: d2rq
|
||||
d2rq = (x * pi_q) / 180.0_16
|
||||
endfunction
|
||||
|
||||
subroutine cmpq(x, f1, f2, tolerance, str)
|
||||
implicit none
|
||||
real(16), intent(in) :: x, f1, f2, tolerance
|
||||
character(len=*), intent(in) :: str
|
||||
if ( abs(f2 - f1) .gt. tolerance ) then
|
||||
write (*, '(A,A,F34.30,A,F34.30,F34.30)') str, "(", x, ")", f1, f2
|
||||
STOP 1
|
||||
endif
|
||||
endsubroutine
|
||||
#endif
|
||||
|
||||
end module
|
||||
|
||||
use dec_math
|
||||
|
||||
implicit none
|
||||
|
||||
! inputs
|
||||
real(4) :: f_i1, f_i2
|
||||
real(4), volatile :: xf
|
||||
real(8) :: d_i1, d_i2
|
||||
real(8), volatile :: xd
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10) :: l_i1, l_i2
|
||||
real(10), volatile :: xl
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16) :: q_i1, q_i2
|
||||
real(16), volatile :: xq
|
||||
#endif
|
||||
|
||||
! expected outputs from (oe) default (oxe) expression
|
||||
real(4) :: f_oe, f_oxe
|
||||
real(8) :: d_oe, d_oxe
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10) :: l_oe, l_oxe
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16) :: q_oe, q_oxe
|
||||
#endif
|
||||
|
||||
! actual outputs from (oa) default (oc) constant (ox) expression
|
||||
real(4) :: f_oa, f_oc, f_ox
|
||||
real(8) :: d_oa, d_oc, d_ox
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10) :: l_oa, l_oc, l_ox
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16) :: q_oa, q_oc, q_ox
|
||||
#endif
|
||||
|
||||
! tolerance of the answer: assert |exp-act| <= tol
|
||||
real(4) :: f_tol
|
||||
real(8) :: d_tol
|
||||
! accept loss of ~four decimal places
|
||||
real(4), parameter :: f_tol = 5e-3_4
|
||||
real(8), parameter :: d_tol = 5e-10_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
real(10), parameter :: l_tol = 5e-15_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
real(16), parameter :: q_tol = 5e-20_16
|
||||
#endif
|
||||
|
||||
! equivalence tolerance
|
||||
f_tol = 5e-5_4
|
||||
d_tol = 5e-6_8
|
||||
|
||||
! multiplication factors to test non-constant expressions
|
||||
! volatile multiplication factors to test non-constant expressions
|
||||
xf = 2.0_4
|
||||
xd = 2.0_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
xl = 2.0_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
xq = 2.0_16
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 0.68032123_4
|
||||
d_i1 = 0.68032123_8
|
||||
! Input -- cos(pi/4)
|
||||
f_i1 = 0.707107_4
|
||||
d_i1 = 0.707106781186548_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 0.707106781186547573_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 0.707106781186547572737310929369414_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = r2d_f*acos (f_i1)
|
||||
f_oxe = xf*r2d_f*acos (f_i1)
|
||||
d_oe = r2d_d*dacos(d_i1)
|
||||
d_oxe = xd*r2d_d*dacos(d_i1)
|
||||
! Expected -- pi/4
|
||||
f_oe = r2d_f * acos (f_i1)
|
||||
f_oxe = r2d_f * acos (xf * f_i1)
|
||||
d_oe = r2d_d * acos (d_i1)
|
||||
d_oxe = r2d_d * acos (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = r2d_l * acos (l_i1)
|
||||
l_oxe = r2d_l * acos (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = r2d_q * acos (q_i1)
|
||||
q_oxe = r2d_q * acos (xq * q_i1)
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = acosd (f_i1)
|
||||
f_oc = acosd (0.68032123_4)
|
||||
f_ox = xf*acosd (f_i1)
|
||||
d_oa = dacosd (d_i1)
|
||||
d_oc = dacosd (0.68032123_8)
|
||||
d_ox = xd*dacosd (0.68032123_8)
|
||||
f_oc = acosd (0.707107_4)
|
||||
f_ox = acosd (xf * f_i1)
|
||||
d_oa = acosd (d_i1)
|
||||
d_oc = acosd (0.707106781186548_8)
|
||||
d_ox = acosd (xd * 0.707106781186548_8)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = acosd (l_i1)
|
||||
l_oc = acosd (0.707106781186547573_10)
|
||||
l_ox = acosd (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = acosd (q_i1)
|
||||
q_oc = acosd (0.707106781186547572737310929369414_16)
|
||||
q_ox = acosd (xq * 0.707106781186547572737310929369414_16)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) acosd")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) acosd")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) acosd")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dacosd")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dacosd")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) dacosd")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) facosd")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) facosd")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) facosd")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dacosd")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dacosd")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) dacosd")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lacosd")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lacosd")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lacosd")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qacosd")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qacosd")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qacosd")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 60.0_4
|
||||
d_i1 = 60.0_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 60.0_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 60.0_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = cos (d2r_f*f_i1)
|
||||
f_oxe = xf*cos (d2r_f*f_i1)
|
||||
d_oe = cos (d2r_d*d_i1)
|
||||
d_oxe = xd*cos (d2r_d*d_i1)
|
||||
f_oe = cos (d2rf(f_i1))
|
||||
f_oxe = cos (d2rf(xf * f_i1))
|
||||
d_oe = cos (d2rd(d_i1))
|
||||
d_oxe = cos (d2rd(xd * d_i1))
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = cos (d2rl(l_i1))
|
||||
l_oxe = cos (d2rl(xl * l_i1))
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = cos (d2rq(q_i1))
|
||||
q_oxe = cos (d2rq(xq * q_i1))
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = cosd (f_i1)
|
||||
f_oc = cosd (60.0_4)
|
||||
f_ox = xf* cosd (f_i1)
|
||||
d_oa = dcosd (d_i1)
|
||||
d_oc = dcosd (60.0_8)
|
||||
d_ox = xd* cosd (d_i1)
|
||||
f_oa = cosd (f_i1)
|
||||
f_oc = cosd (60.0_4)
|
||||
f_ox = cosd (xf * f_i1)
|
||||
d_oa = cosd (d_i1)
|
||||
d_oc = cosd (60.0_8)
|
||||
d_ox = cosd (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = cosd (l_i1)
|
||||
l_oc = cosd (60.0_10)
|
||||
l_ox = cosd (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = cosd (q_i1)
|
||||
q_oc = cosd (60.0_16)
|
||||
q_ox = cosd (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) cosd")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) cosd")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) cosd")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dcosd")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dcosd")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) cosd")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fcosd")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fcosd")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fcosd")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dcosd")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dcosd")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) cosd")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lcosd")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lcosd")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lcosd")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qcosd")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qcosd")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qcosd")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 0.79345021_4
|
||||
d_i1 = 0.79345021_8
|
||||
! Input -- sin(pi/4)
|
||||
f_i1 = 0.707107_4
|
||||
d_i1 = 0.707106781186548_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 0.707106781186547573_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 0.707106781186547572737310929369414_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = r2d_f*asin (f_i1)
|
||||
f_oxe = xf*r2d_f*asin (f_i1)
|
||||
d_oe = r2d_d*asin (d_i1)
|
||||
d_oxe = xd*r2d_d*asin (d_i1)
|
||||
! Expected -- pi/4
|
||||
f_oe = r2d_f * asin (f_i1)
|
||||
f_oxe = r2d_f * asin (xf * f_i1)
|
||||
d_oe = r2d_d * asin (d_i1)
|
||||
d_oxe = r2d_d * asin (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = r2d_l * asin (l_i1)
|
||||
l_oxe = r2d_l * asin (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = r2d_q * asin (q_i1)
|
||||
q_oxe = r2d_q * asin (xq * q_i1)
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = asind (f_i1)
|
||||
f_oc = asind (0.79345021_4)
|
||||
f_ox = xf* asind (f_i1)
|
||||
d_oa = dasind (d_i1)
|
||||
d_oc = dasind (0.79345021_8)
|
||||
d_ox = xd* asind (d_i1)
|
||||
f_oa = asind (f_i1)
|
||||
f_oc = asind (0.707107_4)
|
||||
f_ox = asind (xf * f_i1)
|
||||
d_oa = asind (d_i1)
|
||||
d_oc = asind (0.707106781186548_8)
|
||||
d_ox = asind (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = asind (l_i1)
|
||||
l_oc = asind (0.707106781186547573_10)
|
||||
l_ox = asind (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = asind (q_i1)
|
||||
q_oc = asind (0.707106781186547572737310929369414_16)
|
||||
q_ox = asind (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) asind")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) asind")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) asind")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dasind")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dasind")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) asind")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fasind")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fasind")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fasind")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dasind")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dasind")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) asind")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lasind")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lasind")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lasind")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qasind")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qasind")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qasind")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 60.0_4
|
||||
d_i1 = 60.0_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 60.0_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 60.0_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = sin (d2r_f*f_i1)
|
||||
f_oxe = xf*sin (d2r_f*f_i1)
|
||||
d_oe = sin (d2r_d*d_i1)
|
||||
d_oxe = xd*sin (d2r_d*d_i1)
|
||||
f_oe = sin (d2rf(f_i1))
|
||||
f_oxe = sin (d2rf(xf * f_i1))
|
||||
d_oe = sin (d2rd(d_i1))
|
||||
d_oxe = sin (d2rd(xd * d_i1))
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = sin (d2rl(l_i1))
|
||||
l_oxe = sin (d2rl(xl * l_i1))
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = sin (d2rq(q_i1))
|
||||
q_oxe = sin (d2rq(xq * q_i1))
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = sind (f_i1)
|
||||
f_oc = sind (60.0_4)
|
||||
f_ox = xf* sind (f_i1)
|
||||
d_oa = dsind (d_i1)
|
||||
d_oc = dsind (60.0_8)
|
||||
d_ox = xd* sind (d_i1)
|
||||
f_oa = sind (f_i1)
|
||||
f_oc = sind (60.0_4)
|
||||
f_ox = sind (xf * f_i1)
|
||||
d_oa = sind (d_i1)
|
||||
d_oc = sind (60.0_8)
|
||||
d_ox = sind (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = sind (l_i1)
|
||||
l_oc = sind (60.0_10)
|
||||
l_ox = sind (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = sind (q_i1)
|
||||
q_oc = sind (60.0_16)
|
||||
q_ox = sind (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) sind")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) sind")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) sind")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dsind")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dsind")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) sind")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fsind")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fsind")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fsind")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dsind")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dsind")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) sind")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lsind")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lsind")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lsind")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qsind")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qsind")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qsind")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 2.679676_4
|
||||
f_i2 = 1.0_4
|
||||
d_i1 = 2.679676_8
|
||||
d_i2 = 1.0_8
|
||||
f_i1 = 1.0_4
|
||||
f_i2 = 2.0_4
|
||||
d_i1 = 1.0_8
|
||||
d_i2 = 2.0_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 1.0_10
|
||||
l_i2 = 2.0_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 1.0_16
|
||||
q_i2 = 2.0_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = r2d_f*atan2 (f_i1, f_i2)
|
||||
f_oxe = xf*r2d_f*atan2 (f_i1, f_i2)
|
||||
d_oe = r2d_d*atan2 (d_i1, d_i2)
|
||||
d_oxe = xd*r2d_d*atan2 (d_i1, d_i2)
|
||||
f_oe = r2d_f * atan2 (f_i1, f_i2)
|
||||
f_oxe = r2d_f * atan2 (xf * f_i1, f_i2)
|
||||
d_oe = r2d_d * atan2 (d_i1, d_i2)
|
||||
d_oxe = r2d_d * atan2 (xd * d_i1, d_i2)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = r2d_l * atan2 (l_i1, l_i2)
|
||||
l_oxe = r2d_l * atan2 (xl * l_i1, l_i2)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = r2d_q * atan2 (q_i1, q_i2)
|
||||
q_oxe = r2d_q * atan2 (xq * q_i1, q_i2)
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = atan2d (f_i1, f_i2)
|
||||
f_oc = atan2d (2.679676_4, 1.0_4)
|
||||
f_ox = xf* atan2d (f_i1, f_i2)
|
||||
d_oa = datan2d (d_i1, d_i2)
|
||||
d_oc = datan2d (2.679676_8, 1.0_8)
|
||||
d_ox = xd* atan2d (d_i1, d_i2)
|
||||
f_oa = atan2d (f_i1, f_i2)
|
||||
f_oc = atan2d (1.0_4, 2.0_4)
|
||||
f_ox = atan2d (xf * f_i1, f_i2)
|
||||
d_oa = atan2d (d_i1, d_i2)
|
||||
d_oc = atan2d (1.0_8, 2.0_8)
|
||||
d_ox = atan2d (xd * d_i1, d_i2)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = atan2d (l_i1, l_i2)
|
||||
l_oc = atan2d (1.0_10, 2.0_10)
|
||||
l_ox = atan2d (xl * l_i1, l_i2)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = atan2d (q_i1, q_i2)
|
||||
q_oc = atan2d (1.0_16, 2.0_16)
|
||||
q_ox = atan2d (xq * q_i1, q_i2)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) atan2d")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) atan2d")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) atan2d")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) datan2d")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) datan2d")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) atan2d")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fatan2d")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fatan2d")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fatan2d")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) datan2d")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) datan2d")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) atan2d")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) latan2d")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) latan2d")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) latan2d")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qatan2d")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qatan2d")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qatan2d")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 1.5874993_4
|
||||
d_i1 = 1.5874993_8
|
||||
f_i1 = 1.55741_4
|
||||
d_i1 = 1.5574077246549_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 1.55740772465490229_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 1.55740772465490229237161656783428_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = r2d_f*atan (f_i1)
|
||||
f_oxe = xf*r2d_f*atan (f_i1)
|
||||
d_oe = r2d_d*atan (d_i1)
|
||||
d_oxe = xd*r2d_d*atan (d_i1)
|
||||
f_oe = r2d_f * atan (f_i1)
|
||||
f_oxe = r2d_f * atan (xf * f_i1)
|
||||
d_oe = r2d_d * atan (d_i1)
|
||||
d_oxe = r2d_d * atan (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = r2d_l * atan (l_i1)
|
||||
l_oxe = r2d_l * atan (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = r2d_q * atan (q_i1)
|
||||
q_oxe = r2d_q * atan (xq * q_i1)
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = atand (f_i1)
|
||||
f_oc = atand (1.5874993_4)
|
||||
f_ox = xf* atand (f_i1)
|
||||
d_oa = datand (d_i1)
|
||||
d_oc = datand (1.5874993_8)
|
||||
d_ox = xd* atand (d_i1)
|
||||
f_oa = atand (f_i1)
|
||||
f_oc = atand (1.55741_4)
|
||||
f_ox = atand (xf * f_i1)
|
||||
d_oa = atand (d_i1)
|
||||
d_oc = atand (1.5574077246549_8)
|
||||
d_ox = atand (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = atand (l_i1)
|
||||
l_oc = atand (1.55740772465490229_10)
|
||||
l_ox = atand (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = atand (q_i1)
|
||||
q_oc = atand (1.55740772465490229237161656783428_16)
|
||||
q_ox = atand (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) atand")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) atand")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) atand")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) datand")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) datand")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) atand")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fatand")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fatand")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fatand")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) datand")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) datand")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) atand")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) latand")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) latand")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) latand")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qatand")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qatand")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qatand")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 34.3775_4
|
||||
d_i1 = 34.3774677078494_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 34.3774677078493909_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 34.3774677078493908766176900826395_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = 1.0_4/tan (f_i1)
|
||||
f_oxe = 1.0_4/tan (xf * f_i1)
|
||||
d_oe = 1.0_8/tan (d_i1)
|
||||
d_oxe = 1.0_8/tan (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = 1.0_10/tan (l_i1)
|
||||
l_oxe = 1.0_10/tan (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = 1.0_16/tan (q_i1)
|
||||
q_oxe = 1.0_16/tan (xq * q_i1)
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = cotan (f_i1)
|
||||
f_oc = cotan (34.3775_4)
|
||||
f_ox = cotan (xf * f_i1)
|
||||
d_oa = cotan (d_i1)
|
||||
d_oc = cotan (34.3774677078494_8)
|
||||
d_ox = cotan (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = cotan (l_i1)
|
||||
l_oc = cotan (34.3774677078493909_10)
|
||||
l_ox = cotan (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = cotan (q_i1)
|
||||
q_oc = cotan (34.3774677078493908766176900826395_16)
|
||||
q_ox = cotan (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fcotan")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fcotan")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fcotan")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dcotan")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dcotan")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) cotan")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lcotan")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lcotan")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lcotan")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qcotan")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qcotan")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qcotan")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 0.6_4
|
||||
d_i1 = 0.6_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 0.6_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 0.6_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = cotan (d2r_f*f_i1)
|
||||
f_oxe = xf*cotan (d2r_f*f_i1)
|
||||
d_oe = cotan (d2r_d*d_i1)
|
||||
d_oxe = xd*cotan (d2r_d*d_i1)
|
||||
f_oe = cotan (d2rf(f_i1))
|
||||
f_oxe = cotan (d2rf(xf * f_i1))
|
||||
d_oe = cotan (d2rd(d_i1))
|
||||
d_oxe = cotan (d2rd(xd * d_i1))
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = cotan (d2rl(l_i1))
|
||||
l_oxe = cotan (d2rl(xl * l_i1))
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = cotan (d2rq(q_i1))
|
||||
q_oxe = cotan (d2rq(xq * q_i1))
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = cotand (f_i1)
|
||||
f_oc = cotand (0.6_4)
|
||||
f_ox = xf* cotand (f_i1)
|
||||
d_oa = dcotand (d_i1)
|
||||
d_oc = dcotand (0.6_8)
|
||||
d_ox = xd* cotand (d_i1)
|
||||
f_oa = cotand (f_i1)
|
||||
f_oc = cotand (0.6_4)
|
||||
f_ox = cotand (xf * f_i1)
|
||||
d_oa = cotand (d_i1)
|
||||
d_oc = cotand (0.6_8)
|
||||
d_ox = cotand (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = cotand (l_i1)
|
||||
l_oc = cotand (0.6_10)
|
||||
l_ox = cotand (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = cotand (q_i1)
|
||||
q_oc = cotand (0.6_16)
|
||||
q_ox = cotand (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) cotand")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) cotand")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) cotand")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dcotand")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dcotand")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) cotand")
|
||||
|
||||
! Input
|
||||
f_i1 = 0.6_4
|
||||
d_i1 = 0.6_8
|
||||
|
||||
! Expected
|
||||
f_oe = 1.0_4/tan (f_i1)
|
||||
f_oxe = xf* 1.0_4/tan (f_i1)
|
||||
d_oe = 1.0_8/dtan (d_i1)
|
||||
d_oxe = xd*1.0_8/dtan (d_i1)
|
||||
|
||||
! Actual
|
||||
f_oa = cotan (f_i1)
|
||||
f_oc = cotan (0.6_4)
|
||||
f_ox = xf* cotan (f_i1)
|
||||
d_oa = dcotan (d_i1)
|
||||
d_oc = dcotan (0.6_8)
|
||||
d_ox = xd* cotan (d_i1)
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) cotan")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) cotan")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) cotan")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dcotan")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dcotan")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) cotan")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) fcotand")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) fcotand")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) fcotand")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dcotand")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dcotand")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) cotand")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) lcotand")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) lcotand")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) lcotand")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qcotand")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qcotand")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qcotand")
|
||||
#endif
|
||||
|
||||
! Input
|
||||
f_i1 = 60.0_4
|
||||
d_i1 = 60.0_8
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_i1 = 60.0_10
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_i1 = 60.0_16
|
||||
#endif
|
||||
|
||||
! Expected
|
||||
f_oe = tan (d2r_f*f_i1)
|
||||
f_oxe = xf*tan (d2r_f*f_i1)
|
||||
d_oe = tan (d2r_d*d_i1)
|
||||
d_oxe = xd*tan (d2r_d*d_i1)
|
||||
f_oe = tan (d2rf(f_i1))
|
||||
f_oxe = tan (d2rf(xf * f_i1))
|
||||
d_oe = tan (d2rd(d_i1))
|
||||
d_oxe = tan (d2rd(xd * d_i1))
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oe = tan (d2rl(l_i1))
|
||||
l_oxe = tan (d2rl(xl * l_i1))
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oe = tan (d2rq(q_i1))
|
||||
q_oxe = tan (d2rq(xq * q_i1))
|
||||
#endif
|
||||
|
||||
! Actual
|
||||
f_oa = tand (f_i1)
|
||||
f_oc = tand (60.0_4)
|
||||
f_ox = xf* tand (f_i1)
|
||||
d_oa = dtand (d_i1)
|
||||
d_oc = dtand (60.0_8)
|
||||
d_ox = xd* tand (d_i1)
|
||||
f_oa = tand (f_i1)
|
||||
f_oc = tand (60.0_4)
|
||||
f_ox = tand (xf * f_i1)
|
||||
d_oa = tand (d_i1)
|
||||
d_oc = tand (60.0_8)
|
||||
d_ox = tand (xd * d_i1)
|
||||
#ifdef __GFC_REAL_10__
|
||||
l_oa = tand (l_i1)
|
||||
l_oc = tand (60.0_10)
|
||||
l_ox = tand (xl * l_i1)
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
q_oa = tand (q_i1)
|
||||
q_oc = tand (60.0_16)
|
||||
q_ox = tand (xq * q_i1)
|
||||
#endif
|
||||
|
||||
call cmpf(f_oe, f_oa, f_tol, "( ) tand")
|
||||
call cmpf(f_oe, f_oc, f_tol, "(c) tand")
|
||||
call cmpf(f_oxe, f_ox, f_tol, "(x) tand")
|
||||
call cmpd(d_oe, d_oa, d_tol, "( ) dtand")
|
||||
call cmpd(d_oe, d_oc, d_tol, "(c) dtand")
|
||||
call cmpd(d_oxe, d_ox, d_tol, "(x) tand")
|
||||
call cmpf(f_i1, f_oe, f_oa, f_tol, "( ) ftand")
|
||||
call cmpf(f_i1, f_oe, f_oc, f_tol, "(c) ftand")
|
||||
call cmpf(f_i1, f_oxe, f_ox, f_tol, "(x) ftand")
|
||||
call cmpd(d_i1, d_oe, d_oa, d_tol, "( ) dtand")
|
||||
call cmpd(d_i1, d_oe, d_oc, d_tol, "(c) dtand")
|
||||
call cmpd(d_i1, d_oxe, d_ox, d_tol, "(x) dtand")
|
||||
#ifdef __GFC_REAL_10__
|
||||
call cmpl(l_i1, l_oe, l_oa, l_tol, "( ) ltand")
|
||||
call cmpl(l_i1, l_oe, l_oc, l_tol, "(c) ltand")
|
||||
call cmpl(l_i1, l_oxe, l_ox, l_tol, "(x) ltand")
|
||||
#endif
|
||||
#ifdef __GFC_REAL_16__
|
||||
call cmpq(q_i1, q_oe, q_oa, q_tol, "( ) qtand")
|
||||
call cmpq(q_i1, q_oe, q_oc, q_tol, "(c) qtand")
|
||||
call cmpq(q_i1, q_oxe, q_ox, q_tol, "(x) qtand")
|
||||
#endif
|
||||
|
||||
end
|
||||
|
|
|
|||
|
|
@ -0,0 +1,14 @@
|
|||
! { dg-options "-fdec-math" }
|
||||
! { dg-do compile }
|
||||
!
|
||||
! Ensure extra math intrinsics formerly offered by -fdec-math
|
||||
! are still available with -fdec-math.
|
||||
!
|
||||
|
||||
print *, sind(0.0)
|
||||
print *, cosd(0.0)
|
||||
print *, tand(0.0)
|
||||
print *, cotan(1.0)
|
||||
print *, cotand(90.0)
|
||||
|
||||
end
|
||||
|
|
@ -0,0 +1,8 @@
|
|||
! { dg-options "-std=gnu" }
|
||||
! { dg-do compile }
|
||||
|
||||
! Former ICE when simplifying asind, plus wrong function name in error message
|
||||
real, parameter :: d = asind(1.1) ! { dg-error "Argument of ASIND at.*must be between -1 and 1" }
|
||||
print *, d
|
||||
|
||||
end
|
||||
|
|
@ -0,0 +1,8 @@
|
|||
! { dg-options "-std=gnu" }
|
||||
! { dg-do compile }
|
||||
|
||||
! Former ICE when simplifying complex cotan
|
||||
complex, parameter :: z = cotan((1., 1.))
|
||||
print *, z
|
||||
|
||||
end
|
||||
|
|
@ -0,0 +1,228 @@
|
|||
! { dg-options "-cpp -std=gnu" }
|
||||
! { dg-do run }
|
||||
!
|
||||
! Test values for degree-valued trigonometric intrinsics.
|
||||
!
|
||||
|
||||
module dec_math_5
|
||||
|
||||
|
||||
! Use the highest precision available.
|
||||
! Note however that if both __GFC_REAL_10__ and __GFC_REAL_16__ are defined,
|
||||
! the size of real(16) is actually that of REAL(10) (80 bits) in which case
|
||||
! we should not over-estimate the precision available, or the test will fail.
|
||||
#if defined(__GFC_REAL_10__)
|
||||
integer, parameter :: real_kind = 10
|
||||
real(real_kind), parameter :: eps = 5e-11_10
|
||||
|
||||
real(real_kind), parameter :: pi_2 = 1.57079632679489656_10
|
||||
real(real_kind), parameter :: pi = 3.14159265358979312_10
|
||||
real(real_kind), parameter :: tau = 6.28318530717958623_10
|
||||
|
||||
#elif defined(__GFC_REAL_16__)
|
||||
integer, parameter :: real_kind = 16
|
||||
real(real_kind), parameter :: eps = 5e-16_16
|
||||
|
||||
real(real_kind), parameter :: pi_2 = 1.5707963267948966192313216916397514_16
|
||||
real(real_kind), parameter :: pi = 3.1415926535897932384626433832795_16
|
||||
real(real_kind), parameter :: tau = 6.28318530717958647692528676655900559_16
|
||||
|
||||
#else
|
||||
integer, parameter :: real_kind = 8
|
||||
real(real_kind), parameter :: eps = 5e-10_8
|
||||
|
||||
real(real_kind), parameter :: pi_2 = 1.57079632679490_8
|
||||
real(real_kind), parameter :: pi = 3.14159265358979_8
|
||||
real(real_kind), parameter :: tau = 6.28318530717959_8
|
||||
|
||||
#endif
|
||||
|
||||
! Important angles in canonical form.
|
||||
|
||||
integer, parameter :: nangle = 16
|
||||
|
||||
real(real_kind), dimension(nangle), parameter :: degrees = (/ &
|
||||
0, & ! 180 * 0
|
||||
30, & ! 180 * 1/6
|
||||
45, & ! 180 * 1/4
|
||||
60, & ! 180 * 1/3
|
||||
90, & ! 180 * 1/2
|
||||
120, & ! 180 * 2/3
|
||||
135, & ! 180 * 3/4
|
||||
150, & ! 180 * 5/6
|
||||
180, & ! 180
|
||||
210, & ! 180 * 7/6
|
||||
225, & ! 180 * 5/4
|
||||
240, & ! 180 * 4/3
|
||||
270, & ! 180 * 3/2
|
||||
300, & ! 180 * 5/3
|
||||
315, & ! 180 * 7/4
|
||||
330 & ! 180 * 11/6
|
||||
/)
|
||||
|
||||
real(real_kind), dimension(nangle), parameter :: radians = (/ &
|
||||
#ifdef __GFC_REAL_10__
|
||||
0.000000000000000000_10, & ! pi * 0
|
||||
0.523598775598298873_10, & ! pi * 1/6
|
||||
0.785398163397448310_10, & ! pi * 1/4
|
||||
1.047197551196597750_10, & ! pi * 1/3
|
||||
1.570796326794896620_10, & ! pi * 1/2
|
||||
2.094395102393195490_10, & ! pi * 2/3
|
||||
2.356194490192344930_10, & ! pi * 3/4
|
||||
2.617993877991494370_10, & ! pi * 5/6
|
||||
3.141592653589793240_10, & ! pi
|
||||
3.665191429188092110_10, & ! pi * 7/6
|
||||
3.926990816987241550_10, & ! pi * 5/4
|
||||
4.188790204786390980_10, & ! pi * 4/3
|
||||
4.712388980384689860_10, & ! pi * 3/2
|
||||
5.235987755982988730_10, & ! pi * 5/3
|
||||
5.497787143782138170_10, & ! pi * 7/4
|
||||
5.759586531581287600_10 & ! pi * 11/6
|
||||
|
||||
#elif defined(__GFC_REAL_16__)
|
||||
0.000000000000000000000000000000000_16, & ! pi * 0
|
||||
0.523598775598298873077107230546584_16, & ! pi * 1/6
|
||||
0.785398163397448309615660845819876_16, & ! pi * 1/4
|
||||
1.047197551196597746154214461093170_16, & ! pi * 1/3
|
||||
1.570796326794896619231321691639750_16, & ! pi * 1/2
|
||||
2.094395102393195492308428922186330_16, & ! pi * 2/3
|
||||
2.356194490192344928846982537459630_16, & ! pi * 3/4
|
||||
2.617993877991494365385536152732920_16, & ! pi * 5/6
|
||||
3.141592653589793238462643383279500_16, & ! pi
|
||||
3.665191429188092111539750613826090_16, & ! pi * 7/6
|
||||
3.926990816987241548078304229099380_16, & ! pi * 5/4
|
||||
4.188790204786390984616857844372670_16, & ! pi * 4/3
|
||||
4.712388980384689857693965074919250_16, & ! pi * 3/2
|
||||
5.235987755982988730771072305465840_16, & ! pi * 5/3
|
||||
5.497787143782138167309625920739130_16, & ! pi * 7/4
|
||||
5.759586531581287603848179536012420_16 & ! pi * 11/6
|
||||
|
||||
#else
|
||||
0.000000000000000_8, & ! pi * 0
|
||||
0.523598775598299_8, & ! pi * 1/6
|
||||
0.785398163397448_8, & ! pi * 1/4
|
||||
1.047197551196600_8, & ! pi * 1/3
|
||||
1.570796326794900_8, & ! pi * 1/2
|
||||
2.094395102393200_8, & ! pi * 2/3
|
||||
2.356194490192340_8, & ! pi * 3/4
|
||||
2.617993877991490_8, & ! pi * 5/6
|
||||
3.141592653589790_8, & ! pi
|
||||
3.665191429188090_8, & ! pi * 7/6
|
||||
3.926990816987240_8, & ! pi * 5/4
|
||||
4.188790204786390_8, & ! pi * 4/3
|
||||
4.712388980384690_8, & ! pi * 3/2
|
||||
5.235987755982990_8, & ! pi * 5/3
|
||||
5.497787143782140_8, & ! pi * 7/4
|
||||
5.759586531581290_8 & ! pi * 11/6
|
||||
#endif
|
||||
/)
|
||||
|
||||
! sind, cosd, tand, cotand
|
||||
|
||||
! Ensure precision degrades minimally for large values.
|
||||
integer, parameter :: nphase = 5
|
||||
|
||||
integer, dimension(nphase), parameter :: phases = (/ &
|
||||
0, 1, 5, 100, 10000 &
|
||||
/)
|
||||
|
||||
contains
|
||||
|
||||
subroutine compare(strl, xl_in, xl_out, strr, xr_in, xr_out, eps)
|
||||
use ieee_arithmetic
|
||||
implicit none
|
||||
character(*), intent(in) :: strl, strr
|
||||
real(real_kind), intent(in) :: xl_in, xl_out, xr_in, xr_out, eps
|
||||
|
||||
if ((ieee_is_nan(xl_out) .neqv. ieee_is_nan(xr_out)) &
|
||||
.or. (ieee_is_finite(xl_out) .neqv. ieee_is_finite(xr_out)) &
|
||||
.or. (abs(xl_out - xr_out) .gt. eps)) then
|
||||
write (*, 100) strl, "(", xl_in, "): ", xl_out
|
||||
write (*, 100) strr, "(", xr_in, "): ", xr_out
|
||||
|
||||
if ((ieee_is_nan(xl_out) .eqv. ieee_is_nan(xr_out)) &
|
||||
.and. ieee_is_finite(xl_out) .and. ieee_is_finite(xr_out)) then
|
||||
write (*, 300) "|xl - xr| = ", abs(xl_out - xr_out)
|
||||
write (*, 300) " > eps = ", eps
|
||||
endif
|
||||
|
||||
call abort()
|
||||
endif
|
||||
|
||||
#ifdef __GFC_REAL_16__
|
||||
100 format((A8,A,F34.30,A,F34.30,F34.30))
|
||||
200 format((A12,F34.30))
|
||||
!500 format((A8,A,G34.29,A,G34.29,G34.29))
|
||||
#elif defined(__GFC_REAL_10__)
|
||||
100 format((A8,A,F21.17,A,F21.17,F21.17))
|
||||
200 format((A12,F21.17))
|
||||
!500 format((A8,A,G21.16,A,G21.16,G21.16))
|
||||
#else
|
||||
100 format((A8,A,F18.14,A,F18.14,F18.14))
|
||||
200 format((A12,F18.14))
|
||||
!500 format((A8,A,G18.13,A,G18.13,G18.13))
|
||||
#endif
|
||||
300 format((A12,G8.2))
|
||||
endsubroutine
|
||||
|
||||
endmodule
|
||||
|
||||
use dec_math_5
|
||||
use ieee_arithmetic
|
||||
implicit none
|
||||
|
||||
integer :: phase_index, angle_index, phase
|
||||
real(real_kind) :: deg_in, deg_out, deg_out2, rad_in, rad_out
|
||||
|
||||
! Try every value in degrees, and make sure they are correct compared to the
|
||||
! corresponding radian function.
|
||||
|
||||
do phase_index = 1, size(phases)
|
||||
phase = phases(phase_index)
|
||||
|
||||
do angle_index = 1, size(degrees)
|
||||
! eqv to degrees(angle_index) modulo 360
|
||||
deg_in = degrees(angle_index) + phase * 360
|
||||
rad_in = radians(angle_index) + phase * tau
|
||||
|
||||
! sind vs. sin
|
||||
deg_out = sind(deg_in)
|
||||
rad_out = sin(rad_in)
|
||||
call compare("sind", deg_in, deg_out, "sin", rad_in, rad_out, eps)
|
||||
|
||||
! cosd vs. cos
|
||||
deg_out = cosd(deg_in)
|
||||
rad_out = cos(rad_in)
|
||||
call compare("cosd", deg_in, deg_out, "cos", rad_in, rad_out, eps)
|
||||
|
||||
! tand vs. tan
|
||||
deg_out = tand(deg_in)
|
||||
rad_out = tan(rad_in)
|
||||
if ( ieee_is_finite(deg_out) ) then
|
||||
call compare("tand", deg_in, deg_out, "tan", rad_in, rad_out, eps)
|
||||
endif
|
||||
|
||||
! cotand vs. cotan
|
||||
deg_out = cotand(deg_in)
|
||||
rad_out = cotan(rad_in)
|
||||
|
||||
! Skip comparing infinity, because cotan does not return infinity
|
||||
if ( ieee_is_finite(deg_out) ) then
|
||||
call compare("cotand", deg_in, deg_out, "cotan", rad_in, rad_out, eps)
|
||||
|
||||
! cotand vs. tand
|
||||
deg_out = cotand(deg_in)
|
||||
deg_out2 = -tand(deg_in + 90)
|
||||
|
||||
call compare("cotand", deg_in, deg_out, "-tand+90", deg_in, deg_out2, eps)
|
||||
deg_out2 = 1 / tand(deg_in)
|
||||
call compare("cotand", deg_in, deg_out, "1/tand", deg_in, deg_out2, eps)
|
||||
endif
|
||||
|
||||
enddo
|
||||
|
||||
|
||||
enddo
|
||||
|
||||
|
||||
end
|
||||
|
|
@ -1,3 +1,12 @@
|
|||
2020-04-01 Fritz Reese <foreese@gcc.gnu.org>
|
||||
Steven G. Kargl <kargl@gcc.gnu.org>
|
||||
|
||||
PR fortran/93871
|
||||
* Makefile.am, Makefile.in: New make rule for intrinsics/trigd.c.
|
||||
* gfortran.map: New routines for {sind, cosd, tand}X{r4, r8, r10, r16}.
|
||||
* intrinsics/trigd.c, intrinsics/trigd_lib.inc, intrinsics/trigd.inc:
|
||||
New files. Defines native degree-valued trig functions.
|
||||
|
||||
2020-02-18 Thomas Koenig <tkoenig@gcc.gnu.org>
|
||||
|
||||
PR fortran/93599
|
||||
|
|
|
|||
|
|
@ -141,6 +141,7 @@ intrinsics/reshape_generic.c \
|
|||
intrinsics/reshape_packed.c \
|
||||
intrinsics/selected_int_kind.f90 \
|
||||
intrinsics/selected_real_kind.f90 \
|
||||
intrinsics/trigd.c \
|
||||
intrinsics/unpack_generic.c \
|
||||
runtime/in_pack_generic.c \
|
||||
runtime/in_unpack_generic.c
|
||||
|
|
|
|||
|
|
@ -422,8 +422,9 @@ am__objects_58 = associated.lo abort.lo args.lo cshift0.lo eoshift0.lo \
|
|||
pack_generic.lo selected_char_kind.lo size.lo \
|
||||
spread_generic.lo string_intrinsics.lo rand.lo random.lo \
|
||||
reshape_generic.lo reshape_packed.lo selected_int_kind.lo \
|
||||
selected_real_kind.lo unpack_generic.lo in_pack_generic.lo \
|
||||
in_unpack_generic.lo $(am__objects_56) $(am__objects_57)
|
||||
selected_real_kind.lo trigd.lo unpack_generic.lo \
|
||||
in_pack_generic.lo in_unpack_generic.lo $(am__objects_56) \
|
||||
$(am__objects_57)
|
||||
@IEEE_SUPPORT_TRUE@am__objects_59 = ieee_arithmetic.lo \
|
||||
@IEEE_SUPPORT_TRUE@ ieee_exceptions.lo ieee_features.lo
|
||||
am__objects_60 =
|
||||
|
|
@ -771,9 +772,9 @@ gfor_helper_src = intrinsics/associated.c intrinsics/abort.c \
|
|||
intrinsics/rand.c intrinsics/random.c \
|
||||
intrinsics/reshape_generic.c intrinsics/reshape_packed.c \
|
||||
intrinsics/selected_int_kind.f90 \
|
||||
intrinsics/selected_real_kind.f90 intrinsics/unpack_generic.c \
|
||||
runtime/in_pack_generic.c runtime/in_unpack_generic.c \
|
||||
$(am__append_3) $(am__append_4)
|
||||
intrinsics/selected_real_kind.f90 intrinsics/trigd.c \
|
||||
intrinsics/unpack_generic.c runtime/in_pack_generic.c \
|
||||
runtime/in_unpack_generic.c $(am__append_3) $(am__append_4)
|
||||
@IEEE_SUPPORT_FALSE@gfor_ieee_src =
|
||||
@IEEE_SUPPORT_TRUE@gfor_ieee_src = \
|
||||
@IEEE_SUPPORT_TRUE@ieee/ieee_arithmetic.F90 \
|
||||
|
|
@ -2252,6 +2253,7 @@ distclean-compile:
|
|||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/time.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/transfer.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/transfer128.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/trigd.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/umask.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/unit.Plo@am__quote@
|
||||
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/unix.Plo@am__quote@
|
||||
|
|
@ -6404,6 +6406,13 @@ reshape_packed.lo: intrinsics/reshape_packed.c
|
|||
@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
|
||||
@am__fastdepCC_FALSE@ $(AM_V_CC@am__nodep@)$(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o reshape_packed.lo `test -f 'intrinsics/reshape_packed.c' || echo '$(srcdir)/'`intrinsics/reshape_packed.c
|
||||
|
||||
trigd.lo: intrinsics/trigd.c
|
||||
@am__fastdepCC_TRUE@ $(AM_V_CC)$(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT trigd.lo -MD -MP -MF $(DEPDIR)/trigd.Tpo -c -o trigd.lo `test -f 'intrinsics/trigd.c' || echo '$(srcdir)/'`intrinsics/trigd.c
|
||||
@am__fastdepCC_TRUE@ $(AM_V_at)$(am__mv) $(DEPDIR)/trigd.Tpo $(DEPDIR)/trigd.Plo
|
||||
@AMDEP_TRUE@@am__fastdepCC_FALSE@ $(AM_V_CC)source='intrinsics/trigd.c' object='trigd.lo' libtool=yes @AMDEPBACKSLASH@
|
||||
@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
|
||||
@am__fastdepCC_FALSE@ $(AM_V_CC@am__nodep@)$(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o trigd.lo `test -f 'intrinsics/trigd.c' || echo '$(srcdir)/'`intrinsics/trigd.c
|
||||
|
||||
unpack_generic.lo: intrinsics/unpack_generic.c
|
||||
@am__fastdepCC_TRUE@ $(AM_V_CC)$(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT unpack_generic.lo -MD -MP -MF $(DEPDIR)/unpack_generic.Tpo -c -o unpack_generic.lo `test -f 'intrinsics/unpack_generic.c' || echo '$(srcdir)/'`intrinsics/unpack_generic.c
|
||||
@am__fastdepCC_TRUE@ $(AM_V_at)$(am__mv) $(DEPDIR)/unpack_generic.Tpo $(DEPDIR)/unpack_generic.Plo
|
||||
|
|
|
|||
|
|
@ -1606,4 +1606,16 @@ GFORTRAN_9.2 {
|
|||
GFORTRAN_10 {
|
||||
global:
|
||||
_gfortran_os_error_at;
|
||||
_gfortran_sind_r4;
|
||||
_gfortran_sind_r8;
|
||||
_gfortran_sind_r10;
|
||||
_gfortran_sind_r16;
|
||||
_gfortran_cosd_r4;
|
||||
_gfortran_cosd_r8;
|
||||
_gfortran_cosd_r10;
|
||||
_gfortran_cosd_r16;
|
||||
_gfortran_tand_r4;
|
||||
_gfortran_tand_r8;
|
||||
_gfortran_tand_r10;
|
||||
_gfortran_tand_r16;
|
||||
} GFORTRAN_9.2;
|
||||
|
|
|
|||
|
|
@ -0,0 +1,205 @@
|
|||
/* Implementation of the degree trignometric functions COSD, SIND, TAND.
|
||||
Copyright (C) 2020 Free Software Foundation, Inc.
|
||||
Contributed by Steven G. Kargl <kargl@gcc.gnu.org>
|
||||
|
||||
This file is part of the GNU Fortran runtime library (libgfortran).
|
||||
|
||||
Libgfortran is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 3 of the License, or (at your option) any later version.
|
||||
|
||||
Libgfortran is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
Under Section 7 of GPL version 3, you are granted additional
|
||||
permissions described in the GCC Runtime Library Exception, version
|
||||
3.1, as published by the Free Software Foundation.
|
||||
|
||||
You should have received a copy of the GNU General Public License and
|
||||
a copy of the GCC Runtime Library Exception along with this program;
|
||||
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "libgfortran.h"
|
||||
|
||||
#include <math.h>
|
||||
|
||||
|
||||
/*
|
||||
For real x, let {x}_P or x_P be the closest representible number in the
|
||||
floating point representation which uses P binary bits of fractional
|
||||
precision (with IEEE rounding semantics).
|
||||
|
||||
Similarly, let f_P(x) be shorthand for {f(x)}_P.
|
||||
|
||||
Let ulp_P(x) be the unit of least precision for x: in other words the
|
||||
maximal value of |a_P - b_P| where a_P <= x <= b_P and a_P != b_P.
|
||||
|
||||
Let x ~= y <-> | x - y | < ulp_P(x - y).
|
||||
|
||||
Let deg(x) be the value of x radians in degrees.
|
||||
|
||||
Values for each precision P were selected as follows.
|
||||
|
||||
|
||||
COSD_SMALL = 2**{-N} such that for all x <= COSD_SMALL:
|
||||
|
||||
* cos(deg(x)) ~= 1, or equivalently:
|
||||
|
||||
| 1 - cos(deg(x)) | < ulp_P(1).
|
||||
|
||||
Unfortunately for SIND (and therefore TAND) a similar relation is only
|
||||
possible for REAL(4) and REAL(8). With REAL(10) and REAL(16), enough
|
||||
precision is available such that sin_P(x) != x_P for some x less than any
|
||||
value. (There are values where this equality holds, but the distance has
|
||||
inflection points.)
|
||||
|
||||
For REAL(4) and REAL(8), we can select SIND_SMALL such that:
|
||||
|
||||
* sin(deg(x)) ~= deg(x), or equivalently:
|
||||
|
||||
| deg(x) - sin(deg(x)) | < ulp_P(deg(x)).
|
||||
|
||||
*/
|
||||
|
||||
/* Build _gfortran_sind_r4, _gfortran_cosd_r4, and _gfortran_tand_r4 */
|
||||
|
||||
#define FTYPE GFC_REAL_4
|
||||
#define SIND sind_r4
|
||||
#define COSD cosd_r4
|
||||
#define TAND tand_r4
|
||||
#define SUFFIX(x) x ## f
|
||||
|
||||
#define TINY 0x1.p-100f /* ~= 7.889e-31 */
|
||||
#define COSD_SMALL 0x1.p-7f /* = 7.8125e-3 */
|
||||
#define SIND_SMALL 0x1.p-5f /* = 3.125e-2 */
|
||||
#define COSD30 8.66025388e-01f
|
||||
|
||||
#define PIO180H 1.74560547e-02f /* high 12 bits. */
|
||||
#define PIO180L -2.76216747e-06f /* Next 24 bits. */
|
||||
|
||||
#include "trigd_lib.inc"
|
||||
|
||||
#undef FTYPE
|
||||
#undef TINY
|
||||
#undef COSD_SMALL
|
||||
#undef SIND_SMALL
|
||||
#undef COSD30
|
||||
#undef PIO180H
|
||||
#undef PIO180L
|
||||
#undef SIND
|
||||
#undef COSD
|
||||
#undef TAND
|
||||
#undef SUFFIX
|
||||
|
||||
|
||||
/* Build _gfortran_sind_r8, _gfortran_cosd_r8, and _gfortran_tand_r8. */
|
||||
|
||||
#define FTYPE GFC_REAL_8
|
||||
#define SIND sind_r8
|
||||
#define COSD cosd_r8
|
||||
#define TAND tand_r8
|
||||
#define SUFFIX(x) x
|
||||
|
||||
#define TINY 0x1.p-1000 /* ~= 9.33e-302 (min exp -1074) */
|
||||
#define COSD_SMALL 0x1.p-21 /* ~= 4.768e-7 */
|
||||
#define SIND_SMALL 0x1.p-19 /* ~= 9.537e-7 */
|
||||
#define COSD30 8.6602540378443860e-01
|
||||
|
||||
#define PIO180H 1.7453283071517944e-02 /* high 21 bits. */
|
||||
#define PIO180L 9.4484253514332993e-09 /* Next 53 bits. */
|
||||
|
||||
#include "trigd_lib.inc"
|
||||
|
||||
#undef FTYPE
|
||||
#undef TINY
|
||||
#undef COSD_SMALL
|
||||
#undef SIND_SMALL
|
||||
#undef COSD30
|
||||
#undef PIO180H
|
||||
#undef PIO180L
|
||||
#undef SIND
|
||||
#undef COSD
|
||||
#undef TAND
|
||||
#undef SUFFIX
|
||||
|
||||
|
||||
/* Build _gfortran_sind_r10, _gfortran_cosd_r10, and _gfortran_tand_r10. */
|
||||
|
||||
#ifdef HAVE_GFC_REAL_10
|
||||
|
||||
#define FTYPE GFC_REAL_10
|
||||
#define SIND sind_r10
|
||||
#define COSD cosd_r10
|
||||
#define TAND tand_r10
|
||||
#define SUFFIX(x) x ## l /* L */
|
||||
|
||||
#define TINY 0x1.p-16400L /* ~= 1.28e-4937 (min exp -16494) */
|
||||
#define COSD_SMALL 0x1.p-26L /* ~= 1.490e-8 */
|
||||
#undef SIND_SMALL /* not precise */
|
||||
#define COSD30 8.66025403784438646787e-01L
|
||||
|
||||
#define PIO180H 1.74532925229868851602e-02L /* high 32 bits */
|
||||
#define PIO180L -3.04358939097084072823e-12L /* Next 64 bits */
|
||||
|
||||
#include "trigd_lib.inc"
|
||||
#undef FTYPE
|
||||
#undef TINY
|
||||
#undef COSD_SMALL
|
||||
#undef SIND_SMALL
|
||||
#undef COSD30
|
||||
#undef PIO180H
|
||||
#undef PIO180L
|
||||
#undef SIND
|
||||
#undef COSD
|
||||
#undef TAND
|
||||
#undef SUFFIX
|
||||
#endif /* HAVE_GFC_REAL_10 */
|
||||
|
||||
|
||||
/* Build _gfortran_sind_r16, _gfortran_cosd_r16, and _gfortran_tand_r16. */
|
||||
|
||||
#ifdef HAVE_GFC_REAL_16
|
||||
|
||||
#define FTYPE GFC_REAL_16
|
||||
#define SIND sind_r16
|
||||
#define COSD cosd_r16
|
||||
#define TAND tand_r16
|
||||
|
||||
#ifdef GFC_REAL_16_IS_FLOAT128 /* libquadmath. */
|
||||
#define SUFFIX(x) x ## q
|
||||
#else
|
||||
#define SUFFIX(x) x ## l
|
||||
#endif /* GFC_REAL_16_IS_FLOAT128 */
|
||||
|
||||
#define TINY SUFFIX(0x1.p-16400) /* ~= 1.28e-4937 */
|
||||
#define COSD_SMALL SUFFIX(0x1.p-51) /* ~= 4.441e-16 */
|
||||
#undef SIND_SMALL /* not precise */
|
||||
#define COSD30 SUFFIX(8.66025403784438646763723170752936183e-01)
|
||||
#define PIO180H SUFFIX(1.74532925199433197605003442731685936e-02)
|
||||
#define PIO180L SUFFIX(-2.39912634365882824665106671063098954e-17)
|
||||
|
||||
#include "trigd_lib.inc"
|
||||
|
||||
#undef FTYPE
|
||||
#undef COSD_SMALL
|
||||
#undef SIND_SMALL
|
||||
#undef COSD30
|
||||
#undef PIO180H
|
||||
#undef PIO180L
|
||||
#undef PIO180
|
||||
#undef D2R
|
||||
#undef CPYSGN
|
||||
#undef FABS
|
||||
#undef FMOD
|
||||
#undef SIN
|
||||
#undef COS
|
||||
#undef TAN
|
||||
#undef SIND
|
||||
#undef COSD
|
||||
#undef TAND
|
||||
#undef SUFFIX
|
||||
#endif /* HAVE_GFC_REAL_16 */
|
||||
|
|
@ -0,0 +1,464 @@
|
|||
/* Implementation of the degree trignometric functions COSD, SIND, TAND.
|
||||
Copyright (C) 2020 Free Software Foundation, Inc.
|
||||
Contributed by Steven G. Kargl <kargl@gcc.gnu.org>
|
||||
and Fritz Reese <foreese@gcc.gnu.org>
|
||||
|
||||
This file is part of the GNU Fortran runtime library (libgfortran).
|
||||
|
||||
Libgfortran is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 3 of the License, or (at your option) any later version.
|
||||
|
||||
Libgfortran is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
Under Section 7 of GPL version 3, you are granted additional
|
||||
permissions described in the GCC Runtime Library Exception, version
|
||||
3.1, as published by the Free Software Foundation.
|
||||
|
||||
You should have received a copy of the GNU General Public License and
|
||||
a copy of the GCC Runtime Library Exception along with this program;
|
||||
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
|
||||
/*
|
||||
|
||||
This file is included from both the FE and the runtime library code.
|
||||
Operations are generalized using GMP/MPFR functions. When included from
|
||||
libgfortran, these should be overridden using macros which will use native
|
||||
operations conforming to the same API. From the FE, the GMP/MPFR functions can
|
||||
be used as-is.
|
||||
|
||||
The following macros and GMP/FMPR functions are used and must be defined.
|
||||
|
||||
|
||||
Types and names:
|
||||
|
||||
FTYPE
|
||||
Type name for the real-valued parameter.
|
||||
Variables of this type are constructed/destroyed using mpfr_init()
|
||||
and mpfr_clear.
|
||||
|
||||
RETTYPE
|
||||
Return type of the functions.
|
||||
|
||||
RETURN(x)
|
||||
Insert code to return a value.
|
||||
The parameter x is the result variable, which was also the input parameter.
|
||||
|
||||
ITYPE
|
||||
Type name for integer types.
|
||||
|
||||
SIND, COSD, TRIGD
|
||||
Names for the degree-valued trig functions defined by this module.
|
||||
|
||||
|
||||
Literal values:
|
||||
|
||||
TINY [optional]
|
||||
Value subtracted from 1 to cause rase INEXACT for COSD(x)
|
||||
for x << 1. If not set, COSD(x) for x <= COSD_SMALL simply returns 1.
|
||||
|
||||
COSD_SMALL [optional]
|
||||
Value such that x <= COSD_SMALL implies COSD(x) = 1 to within the
|
||||
precision of FTYPE. If not set, this condition is not checked.
|
||||
|
||||
SIND_SMALL [optional]
|
||||
Value such that x <= SIND_SMALL implies SIND(x) = D2R(x) to within
|
||||
the precision of FTYPE. If not set, this condition is not checked.
|
||||
|
||||
COSD30
|
||||
Value of SIND(60) and COSD(30).
|
||||
|
||||
*/
|
||||
|
||||
|
||||
/* Compute sind(x) = sin(x * pi / 180). */
|
||||
|
||||
RETTYPE
|
||||
SIND (FTYPE x)
|
||||
{
|
||||
if (ISFINITE (x))
|
||||
{
|
||||
FTYPE s, one;
|
||||
|
||||
/* sin(-x) = - sin(x). */
|
||||
mpfr_init (s);
|
||||
mpfr_init_set_ui (one, 1, GFC_RND_MODE);
|
||||
mpfr_copysign (s, one, x, GFC_RND_MODE);
|
||||
mpfr_clear (one);
|
||||
|
||||
#ifdef SIND_SMALL
|
||||
/* sin(x) = x as x -> 0; but only for some precisions. */
|
||||
FTYPE ax;
|
||||
mpfr_init (ax);
|
||||
mpfr_abs (ax, x, GFC_RND_MODE);
|
||||
if (mpfr_cmp_ld (ax, SIND_SMALL) < 0)
|
||||
{
|
||||
D2R (x);
|
||||
mpfr_clear (ax);
|
||||
return x;
|
||||
}
|
||||
|
||||
mpfr_swap (x, ax);
|
||||
mpfr_clear (ax);
|
||||
|
||||
#else
|
||||
mpfr_abs (x, x, GFC_RND_MODE);
|
||||
#endif /* SIND_SMALL */
|
||||
|
||||
/* Reduce angle to x in [0,360]. */
|
||||
FTYPE period;
|
||||
mpfr_init_set_ui (period, 360, GFC_RND_MODE);
|
||||
mpfr_fmod (x, x, period, GFC_RND_MODE);
|
||||
mpfr_clear (period);
|
||||
|
||||
/* Special cases with exact results. */
|
||||
ITYPE n;
|
||||
mpz_init (n);
|
||||
if (mpfr_get_z (n, x, GFC_RND_MODE) == 0 && mpz_divisible_ui_p (n, 30))
|
||||
{
|
||||
/* Flip sign for odd n*pi (x is % 360 so this is only for 180).
|
||||
This respects sgn(sin(x)) = sgn(d/dx sin(x)) = sgn(cos(x)). */
|
||||
if (mpz_divisible_ui_p (n, 180))
|
||||
{
|
||||
mpfr_set_ui (x, 0, GFC_RND_MODE);
|
||||
if (mpz_cmp_ui (n, 180) == 0)
|
||||
mpfr_neg (s, s, GFC_RND_MODE);
|
||||
}
|
||||
else if (mpz_divisible_ui_p (n, 90))
|
||||
mpfr_set_si (x, (mpz_cmp_ui (n, 90) == 0 ? 1 : -1), GFC_RND_MODE);
|
||||
else if (mpz_divisible_ui_p (n, 60))
|
||||
{
|
||||
SET_COSD30 (x);
|
||||
if (mpz_cmp_ui (n, 180) >= 0)
|
||||
mpfr_neg (x, x, GFC_RND_MODE);
|
||||
}
|
||||
else
|
||||
mpfr_set_ld (x, (mpz_cmp_ui (n, 180) < 0 ? 0.5L : -0.5L),
|
||||
GFC_RND_MODE);
|
||||
}
|
||||
|
||||
/* Fold [0,360] into the range [0,45], and compute either SIN() or
|
||||
COS() depending on symmetry of shifting into the [0,45] range. */
|
||||
else
|
||||
{
|
||||
bool fold_cos = false;
|
||||
if (mpfr_cmp_ui (x, 180) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 90) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 45) > 0)
|
||||
{
|
||||
/* x = COS(D2R(90 - x)) */
|
||||
mpfr_ui_sub (x, 90, x, GFC_RND_MODE);
|
||||
fold_cos = true;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 135) <= 0)
|
||||
{
|
||||
mpfr_sub_ui (x, x, 90, GFC_RND_MODE);
|
||||
fold_cos = true;
|
||||
}
|
||||
else
|
||||
mpfr_ui_sub (x, 180, x, GFC_RND_MODE);
|
||||
}
|
||||
}
|
||||
|
||||
else if (mpfr_cmp_ui (x, 270) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 225) <= 0)
|
||||
mpfr_sub_ui (x, x, 180, GFC_RND_MODE);
|
||||
else
|
||||
{
|
||||
mpfr_ui_sub (x, 270, x, GFC_RND_MODE);
|
||||
fold_cos = true;
|
||||
}
|
||||
mpfr_neg (s, s, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
else
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 315) <= 0)
|
||||
{
|
||||
mpfr_sub_ui (x, x, 270, GFC_RND_MODE);
|
||||
fold_cos = true;
|
||||
}
|
||||
else
|
||||
mpfr_ui_sub (x, 360, x, GFC_RND_MODE);
|
||||
mpfr_neg (s, s, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
D2R (x);
|
||||
|
||||
if (fold_cos)
|
||||
mpfr_cos (x, x, GFC_RND_MODE);
|
||||
else
|
||||
mpfr_sin (x, x, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
mpfr_mul (x, x, s, GFC_RND_MODE);
|
||||
mpz_clear (n);
|
||||
mpfr_clear (s);
|
||||
}
|
||||
|
||||
/* Return NaN for +-Inf and NaN and raise exception. */
|
||||
else
|
||||
mpfr_sub (x, x, x, GFC_RND_MODE);
|
||||
|
||||
RETURN (x);
|
||||
}
|
||||
|
||||
|
||||
/* Compute cosd(x) = cos(x * pi / 180). */
|
||||
|
||||
RETTYPE
|
||||
COSD (FTYPE x)
|
||||
{
|
||||
#if defined(TINY) && defined(COSD_SMALL)
|
||||
static const volatile FTYPE tiny = TINY;
|
||||
#endif
|
||||
|
||||
if (ISFINITE (x))
|
||||
{
|
||||
#ifdef COSD_SMALL
|
||||
FTYPE ax;
|
||||
mpfr_init (ax);
|
||||
|
||||
mpfr_abs (ax, x, GFC_RND_MODE);
|
||||
/* No spurious underflows!. In radians, cos(x) = 1-x*x/2 as x -> 0. */
|
||||
if (mpfr_cmp_ld (ax, COSD_SMALL) <= 0)
|
||||
{
|
||||
mpfr_set_ui (x, 1, GFC_RND_MODE);
|
||||
#ifdef TINY
|
||||
/* Cause INEXACT. */
|
||||
if (!mpfr_zero_p (ax))
|
||||
mpfr_sub_d (x, x, tiny, GFC_RND_MODE);
|
||||
#endif
|
||||
|
||||
mpfr_clear (ax);
|
||||
return x;
|
||||
}
|
||||
|
||||
mpfr_swap (x, ax);
|
||||
mpfr_clear (ax);
|
||||
#else
|
||||
mpfr_abs (x, x, GFC_RND_MODE);
|
||||
#endif /* COSD_SMALL */
|
||||
|
||||
/* Reduce angle to ax in [0,360]. */
|
||||
FTYPE period;
|
||||
mpfr_init_set_ui (period, 360, GFC_RND_MODE);
|
||||
mpfr_fmod (x, x, period, GFC_RND_MODE);
|
||||
mpfr_clear (period);
|
||||
|
||||
/* Special cases with exact results.
|
||||
Return negative zero for cosd(270) for consistency with libm cos(). */
|
||||
ITYPE n;
|
||||
mpz_init (n);
|
||||
if (mpfr_get_z (n, x, GFC_RND_MODE) == 0 && mpz_divisible_ui_p (n, 30))
|
||||
{
|
||||
if (mpz_divisible_ui_p (n, 180))
|
||||
mpfr_set_si (x, (mpz_cmp_ui (n, 180) == 0 ? -1 : 1),
|
||||
GFC_RND_MODE);
|
||||
else if (mpz_divisible_ui_p (n, 90))
|
||||
mpfr_set_zero (x, 0);
|
||||
else if (mpz_divisible_ui_p (n, 60))
|
||||
{
|
||||
mpfr_set_ld (x, 0.5, GFC_RND_MODE);
|
||||
if (mpz_cmp_ui (n, 60) != 0 && mpz_cmp_ui (n, 300) != 0)
|
||||
mpfr_neg (x, x, GFC_RND_MODE);
|
||||
}
|
||||
else
|
||||
{
|
||||
SET_COSD30 (x);
|
||||
if (mpz_cmp_ui (n, 30) != 0 && mpz_cmp_ui (n, 330) != 0)
|
||||
mpfr_neg (x, x, GFC_RND_MODE);
|
||||
}
|
||||
}
|
||||
|
||||
/* Fold [0,360] into the range [0,45], and compute either SIN() or
|
||||
COS() depending on symmetry of shifting into the [0,45] range. */
|
||||
else
|
||||
{
|
||||
bool neg = false;
|
||||
bool fold_sin = false;
|
||||
if (mpfr_cmp_ui (x, 180) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 90) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 45) > 0)
|
||||
{
|
||||
mpfr_ui_sub (x, 90, x, GFC_RND_MODE);
|
||||
fold_sin = true;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 135) <= 0)
|
||||
{
|
||||
mpfr_sub_ui (x, x, 90, GFC_RND_MODE);
|
||||
fold_sin = true;
|
||||
}
|
||||
else
|
||||
mpfr_ui_sub (x, 180, x, GFC_RND_MODE);
|
||||
neg = true;
|
||||
}
|
||||
}
|
||||
|
||||
else if (mpfr_cmp_ui (x, 270) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 225) <= 0)
|
||||
mpfr_sub_ui (x, x, 180, GFC_RND_MODE);
|
||||
else
|
||||
{
|
||||
mpfr_ui_sub (x, 270, x, GFC_RND_MODE);
|
||||
fold_sin = true;
|
||||
}
|
||||
neg = true;
|
||||
}
|
||||
|
||||
else
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 315) <= 0)
|
||||
{
|
||||
mpfr_sub_ui (x, x, 270, GFC_RND_MODE);
|
||||
fold_sin = true;
|
||||
}
|
||||
else
|
||||
mpfr_ui_sub (x, 360, x, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
D2R (x);
|
||||
|
||||
if (fold_sin)
|
||||
mpfr_sin (x, x, GFC_RND_MODE);
|
||||
else
|
||||
mpfr_cos (x, x, GFC_RND_MODE);
|
||||
|
||||
if (neg)
|
||||
mpfr_neg (x, x, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
mpz_clear (n);
|
||||
}
|
||||
|
||||
/* Return NaN for +-Inf and NaN and raise exception. */
|
||||
else
|
||||
mpfr_sub (x, x, x, GFC_RND_MODE);
|
||||
|
||||
RETURN (x);
|
||||
}
|
||||
|
||||
|
||||
/* Compute tand(x) = tan(x * pi / 180). */
|
||||
|
||||
RETTYPE
|
||||
TAND (FTYPE x)
|
||||
{
|
||||
if (ISFINITE (x))
|
||||
{
|
||||
FTYPE s, one;
|
||||
|
||||
/* tan(-x) = - tan(x). */
|
||||
mpfr_init (s);
|
||||
mpfr_init_set_ui (one, 1, GFC_RND_MODE);
|
||||
mpfr_copysign (s, one, x, GFC_RND_MODE);
|
||||
mpfr_clear (one);
|
||||
|
||||
#ifdef SIND_SMALL
|
||||
/* tan(x) = x as x -> 0; but only for some precisions. */
|
||||
FTYPE ax;
|
||||
mpfr_init (ax);
|
||||
mpfr_abs (ax, x, GFC_RND_MODE);
|
||||
if (mpfr_cmp_ld (ax, SIND_SMALL) < 0)
|
||||
{
|
||||
D2R (x);
|
||||
mpfr_clear (ax);
|
||||
return x;
|
||||
}
|
||||
|
||||
mpfr_swap (x, ax);
|
||||
mpfr_clear (ax);
|
||||
|
||||
#else
|
||||
mpfr_abs (x, x, GFC_RND_MODE);
|
||||
#endif /* SIND_SMALL */
|
||||
|
||||
/* Reduce angle to x in [0,360]. */
|
||||
FTYPE period;
|
||||
mpfr_init_set_ui (period, 360, GFC_RND_MODE);
|
||||
mpfr_fmod (x, x, period, GFC_RND_MODE);
|
||||
mpfr_clear (period);
|
||||
|
||||
/* Special cases with exact results. */
|
||||
ITYPE n;
|
||||
mpz_init (n);
|
||||
if (mpfr_get_z (n, x, GFC_RND_MODE) == 0 && mpz_divisible_ui_p (n, 45))
|
||||
{
|
||||
if (mpz_divisible_ui_p (n, 180))
|
||||
mpfr_set_zero (x, 0);
|
||||
|
||||
/* Though mathematically NaN is more appropriate for tan(n*90),
|
||||
returning +/-Inf offers the advantage that 1/tan(n*90) returns 0,
|
||||
which is mathematically sound. In fact we rely on this behavior
|
||||
to implement COTAND(x) = 1 / TAND(x).
|
||||
*/
|
||||
else if (mpz_divisible_ui_p (n, 90))
|
||||
mpfr_set_inf (x, mpz_cmp_ui (n, 90) == 0 ? 0 : 1);
|
||||
|
||||
else
|
||||
{
|
||||
mpfr_set_ui (x, 1, GFC_RND_MODE);
|
||||
if (mpz_cmp_ui (n, 45) != 0 && mpz_cmp_ui (n, 225) != 0)
|
||||
mpfr_neg (x, x, GFC_RND_MODE);
|
||||
}
|
||||
}
|
||||
|
||||
else
|
||||
{
|
||||
/* Fold [0,360] into the range [0,90], and compute TAN(). */
|
||||
if (mpfr_cmp_ui (x, 180) <= 0)
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 90) > 0)
|
||||
{
|
||||
mpfr_ui_sub (x, 180, x, GFC_RND_MODE);
|
||||
mpfr_neg (s, s, GFC_RND_MODE);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (mpfr_cmp_ui (x, 270) <= 0)
|
||||
{
|
||||
mpfr_sub_ui (x, x, 180, GFC_RND_MODE);
|
||||
}
|
||||
else
|
||||
{
|
||||
mpfr_ui_sub (x, 360, x, GFC_RND_MODE);
|
||||
mpfr_neg (s, s, GFC_RND_MODE);
|
||||
}
|
||||
}
|
||||
|
||||
D2R (x);
|
||||
mpfr_tan (x, x, GFC_RND_MODE);
|
||||
}
|
||||
|
||||
mpfr_mul (x, x, s, GFC_RND_MODE);
|
||||
mpz_clear (n);
|
||||
mpfr_clear (s);
|
||||
}
|
||||
|
||||
/* Return NaN for +-Inf and NaN and raise exception. */
|
||||
else
|
||||
mpfr_sub (x, x, x, GFC_RND_MODE);
|
||||
|
||||
RETURN (x);
|
||||
}
|
||||
|
||||
/* vim: set ft=c: */
|
||||
|
|
@ -0,0 +1,147 @@
|
|||
/* Stub for defining degree-valued trigonometric functions in libgfortran.
|
||||
Copyright (C) 2020 Free Software Foundation, Inc.
|
||||
Contributed by Steven G. Kargl <kargl@gcc.gnu.org>
|
||||
and Fritz Reese <foreese@gcc.gnu.org>
|
||||
|
||||
This file is part of the GNU Fortran runtime library (libgfortran).
|
||||
|
||||
Libgfortran is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 3 of the License, or (at your option) any later version.
|
||||
|
||||
Libgfortran is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
Under Section 7 of GPL version 3, you are granted additional
|
||||
permissions described in the GCC Runtime Library Exception, version
|
||||
3.1, as published by the Free Software Foundation.
|
||||
|
||||
You should have received a copy of the GNU General Public License and
|
||||
a copy of the GCC Runtime Library Exception along with this program;
|
||||
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
/*
|
||||
This replaces all GMP/MPFR functions used by trigd.inc with native versions.
|
||||
The precision is defined by FTYPE defined before including this file.
|
||||
The module which includes this file must define the following:
|
||||
|
||||
FTYPE -- floating point type
|
||||
SIND, COSD, TAND -- names of the functions to define
|
||||
SUFFIX(x) -- add a literal suffix for floating point constants (f, ...)
|
||||
|
||||
COSD_SMALL [optional] -- for x <= COSD_SMALL, COSD(x) = 1 if set
|
||||
TINY [optional] -- subtract from 1 under the above condition if set
|
||||
SIND_SMALL [optional] -- for x <= SIND_SMALL, SIND(x) = D2R(x) if set
|
||||
COSD30 -- literal value of COSD(30) to the precision of FTYPE
|
||||
PIO180H -- upper bits of pi/180 for FMA
|
||||
PIO180L -- lower bits of pi/180 for FMA
|
||||
|
||||
*/
|
||||
|
||||
#define ITYPE int
|
||||
#define GFC_RND_MODE 0
|
||||
#define RETTYPE FTYPE
|
||||
#define RETURN(x) return (x)
|
||||
|
||||
#define ISFINITE(x) isfinite(x)
|
||||
#define mpfr_init(x) do { } while (0)
|
||||
#define mpfr_init_set_ui(x, v, rnd) (x = (v))
|
||||
#define mpfr_clear(x) do { } while (0)
|
||||
#define mpfr_swap(x, y) do { FTYPE z = y; y = x; x = z; } while (0)
|
||||
#define mpfr_copysign(rop, op1, op2, rnd) rop = SUFFIX(copysign)((op1), (op2))
|
||||
#define mpfr_fmod(rop, x, d, rnd) (rop = SUFFIX(fmod)((x), (d)))
|
||||
#define mpfr_abs(rop, op, rnd) (rop = SUFFIX(fabs)(op))
|
||||
#define mpfr_cmp_ld(x, y) ((x) - (y))
|
||||
#define mpfr_cmp_ui(x, n) ((x) - (n))
|
||||
#define mpfr_zero_p(x) ((x) == 0)
|
||||
#define mpfr_set(rop, x, rnd) (rop = (x))
|
||||
#define mpfr_set_zero(rop, s) (rop = SUFFIX(copysign)(0, (s)))
|
||||
#define mpfr_set_inf(rop, s) (rop = ((s)*-2 + 1) * INFINITY)
|
||||
#define mpfr_set_ui(rop, n, rnd) (rop = (n))
|
||||
#define mpfr_set_si(rop, n, rnd) (rop = (n))
|
||||
#define mpfr_set_ld(rop, x, rnd) (rop = (x))
|
||||
#define mpfr_set_si_2exp(rop, op, exp, rnd) (rop = (0x1.p##exp))
|
||||
#define mpfr_get_z(rop, x, rnd) ((rop = (int)(x)), (rop - (x)))
|
||||
#define mpfr_mul(rop, op1, op2, rnd) (rop = ((op1) * (op2)))
|
||||
#define mpfr_sub_d(rop, op1, op2, rnd) (rop = ((op1) - (op2)))
|
||||
#define mpfr_sub_ui(rop, op1, op2, rnd) (rop = ((op1) - (op2)))
|
||||
#define mpfr_sub(rop, op1, op2, rnd) (rop = ((op1) - (op2)))
|
||||
#define mpfr_ui_sub(rop, op1, op2, rnd) (rop = ((op1) - (op2)))
|
||||
#define mpfr_neg(rop, op, rnd) (rop = -(op))
|
||||
#define mpfr_sin(rop, x, rnd) (rop = SUFFIX(sin)(x))
|
||||
#define mpfr_cos(rop, x, rnd) (rop = SUFFIX(cos)(x))
|
||||
#define mpfr_tan(rop, x, rnd) (rop = SUFFIX(tan)(x))
|
||||
|
||||
#define mpz_init(n) do { } while (0)
|
||||
#define mpz_clear(x) do { } while (0)
|
||||
#define mpz_cmp_ui(x, y) ((x) - (y))
|
||||
#define mpz_divisible_ui_p(n, d) ((n) % (d) == 0)
|
||||
|
||||
#define FMA(x,y,z) SUFFIX(fma)((x), (y), (z))
|
||||
#define D2R(x) (x = FMA((x), PIO180H, (x) * PIO180L))
|
||||
|
||||
#define SET_COSD30(x) (x = COSD30)
|
||||
|
||||
|
||||
extern FTYPE SIND (FTYPE);
|
||||
export_proto (SIND);
|
||||
|
||||
extern FTYPE COSD (FTYPE);
|
||||
export_proto (COSD);
|
||||
|
||||
extern FTYPE TAND (FTYPE);
|
||||
export_proto (TAND);
|
||||
|
||||
#include "trigd.inc"
|
||||
|
||||
#undef ITYPE
|
||||
#undef GFC_RND_MODE
|
||||
#undef RETTYPE
|
||||
#undef RETURN
|
||||
|
||||
#undef ISFINITE
|
||||
#undef mpfr_signbit
|
||||
|
||||
#undef mpfr_init
|
||||
#undef mpfr_init_set_ui
|
||||
#undef mpfr_clear
|
||||
#undef mpfr_swap
|
||||
#undef mpfr_fmod
|
||||
#undef mpfr_abs
|
||||
#undef mpfr_cmp_ld
|
||||
#undef mpfr_cmp_ui
|
||||
#undef mpfr_zero_p
|
||||
#undef mpfr_set
|
||||
#undef mpfr_set_zero
|
||||
#undef mpfr_set_inf
|
||||
#undef mpfr_set_ui
|
||||
#undef mpfr_set_si
|
||||
#undef mpfr_set_ld
|
||||
#undef mpfr_set_si_2exp
|
||||
#undef mpfr_get_z
|
||||
#undef mpfr_mul_si
|
||||
#undef mpfr_sub_d
|
||||
#undef mpfr_sub_ui
|
||||
#undef mpfr_sub
|
||||
#undef mpfr_ui_sub
|
||||
#undef mpfr_neg
|
||||
#undef mpfr_sin
|
||||
#undef mpfr_cos
|
||||
#undef mpfr_tan
|
||||
|
||||
#undef mpz_init
|
||||
#undef mpz_clear
|
||||
#undef mpz_cmp_ui
|
||||
#undef mpz_divisible_ui_p
|
||||
|
||||
#undef FMA
|
||||
#undef D2R
|
||||
|
||||
#undef SET_COSD30
|
||||
|
||||
|
||||
/* vim: set ft=c: */
|
||||
Loading…
Reference in New Issue