1 # Copyright (C) 1996-2016 Free Software Foundation, Inc.
2 # This file is part of the GNU C Library.
4 # The GNU C Library is free software; you can redistribute it and/or
5 # modify it under the terms of the GNU Lesser General Public
6 # License as published by the Free Software Foundation; either
7 # version 2.1 of the License, or (at your option) any later version.
9 # The GNU C Library is distributed in the hope that it will be useful,
10 # but WITHOUT ANY WARRANTY; without even the implied warranty of
11 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 # Lesser General Public License for more details.
14 # You should have received a copy of the GNU Lesser General Public
15 # License along with the GNU C Library; if not, see
16 # <http://www.gnu.org/licenses/>.
18 # Makefile for the math library.
24 # Installed header files.
25 headers
:= math.h bits
/mathcalls.h bits
/mathinline.h bits
/huge_val.h \
26 bits
/huge_valf.h bits
/huge_vall.h bits
/inf.h bits
/nan.h \
27 fpu_control.h complex.h bits
/cmathcalls.h fenv.h \
28 bits
/fenv.h bits
/fenvinline.h bits
/mathdef.h tgmath.h \
29 bits
/math-finite.h bits
/math-vector.h \
30 bits
/libm-simd-decl-stubs.h bits
/iscanonical.h \
31 bits
/flt-eval-method.h bits
/fp-fast.h bits
/fp-logb.h \
35 aux
:= setfpucw fpu_control
37 # Build the -lm library.
40 extra-libs-others
= $(extra-libs
)
42 libm-support
= s_lib_version s_matherr s_signgam \
43 fclrexcpt fgetexcptflg fraiseexcpt fsetexcptflg \
44 ftestexcept fegetround fesetround fegetenv feholdexcpt \
45 fesetenv feupdateenv t_exp fedisblxcpt feenablxcpt \
46 fegetexcept fesetexcept fetestexceptflag fegetmode \
49 # Wrappers for these functions generated per type using a file named
50 # <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
51 gen-libm-calls
= cargF conjF cimagF crealF cabsF s_cacosF \
52 s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
53 k_casinhF s_csinhF k_casinhF s_csinhF s_catanhF s_catanF \
54 s_ctanF s_ctanhF s_cexpF s_clogF s_cprojF s_csqrtF \
55 s_cpowF s_clog10F s_fdimF s_nextdownF s_fmaxF s_fminF \
56 s_nanF s_iseqsigF s_canonicalizeF w_ilogbF w_llogbF \
57 w_log1pF w_scalblnF s_fmaxmagF s_fminmagF
60 e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
61 e_hypotF e_j0F e_j1F e_jnF e_lgammaF_r e_logF e_log10F e_powF \
62 e_rem_pio2F e_remainderF e_scalbF e_sinhF e_sqrtF e_gammaF_r \
64 k_cosF k_sinF k_tanF s_asinhF s_atanF s_cbrtF \
65 s_ceilF s_cosF s_erfF s_expm1F s_fabsF \
66 s_floorF s_log1pF s_logbF \
67 s_nextafterF s_nexttowardF s_rintF s_scalblnF \
68 s_significandF s_sinF s_tanF s_tanhF w_acosF w_acoshF w_asinF \
69 w_atan2F w_atanhF w_coshF w_expF w_exp2F w_exp10F w_fmodF \
70 w_tgammaF w_hypotF w_j0F w_j1F w_jnF w_lgammaF w_lgammaF_r \
71 w_logF w_log10F w_powF w_remainderF w_scalbF w_sinhF w_sqrtF \
72 s_fpclassifyF s_truncF \
73 s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
74 s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
75 s_issignalingF
$(calls
:s_
%=m_
%) x2y2m1F \
76 gamma_productF lgamma_negF lgamma_productF \
77 s_nextupF s_totalorderF s_totalordermagF s_getpayloadF \
78 s_setpayloadF s_setpayloadsigF s_roundevenF
$(gen-libm-calls
)
80 libm-compat-calls-ldouble-yes
= w_lgamma_compatl k_standardl
81 libm-compat-calls
= w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
82 $(libm-compat-calls-ldouble-
$(long-double-fcts
))
85 # Type specific routine support.
87 # The following three variables control what is included for each type:
89 # type-floatN-suffix = The suffix of the type
90 # type-floatN-routines = Type specific support objects
91 # type-floatN-yes = If the type is supported, evaluates to floatN
93 # Finally, note that types is an intentionally recursive variable.
94 # We only know the full set of supported types for the target machine
95 # after the Rules makefile has been parsed.
96 types
= $(type-ldouble-
$(long-double-fcts
)) double float
99 type-ldouble-suffix
:= l
100 type-ldouble-routines
:= t_sincosl k_sincosl s_iscanonicall
101 type-ldouble-yes
:= ldouble
104 type-double-suffix
:=
105 type-double-routines
:= branred doasin dosincos halfulp mpa mpatan2 \
106 mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
107 slowpow sincostab k_rem_pio2
110 type-float-suffix
:= f
111 type-float-routines
:= k_rem_pio2f
114 # Apply suffix to each type in arg 1
115 type-foreach
= $(foreach t
,$(types
),$(subst F
,$(type-
$(t
)-suffix),$(1)))
117 libm-routines
= $(strip $(libm-support
) $(libm-compat-calls
) \
118 $(call type-foreach
, $(libm-calls
)) \
119 $(foreach t
, $(types
), $(type-
$(t
)-routines
))) \
121 # These functions are in libc instead of libm because __printf_fp
122 # calls them, so any program using printf will need them linked in,
123 # and we don't want to have to link every program with -lm.
124 # In libm-calls (above), list m_foo in place of s_foo for any
125 # routine that should be compiled separately for its libc and libm versions.
126 calls
= s_isinfF s_isnanF s_finiteF s_copysignF s_modfF s_scalbnF s_frexpF \
127 s_signbitF
$(gen-calls
)
129 generated
+= $(foreach s
,.c .S
,$(call type-foreach
, $(calls
:s_
%=m_
%$(s
))))
130 routines
= $(call type-foreach
, $(calls
))
132 ifeq ($(build-mathvec
),yes
)
133 # We need to install libm.so and libm.a as linker scripts
134 # for transparent use of vector math library.
135 install-lib-ldscripts
:= libm.so libm.a
136 install-others
= $(inst_libdir
)/libm.so
$(inst_libdir
)/libm.a
137 $(inst_libdir
)/libm.so
: $(common-objpfx
)format.lds \
141 (echo
'/* GNU ld script'; echo
'*/';\
143 echo
'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
144 'AS_NEEDED ( $(libdir)/libmvec_nonshared.a $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
148 $(inst_libdir
)/libm-
$(version
).a
: $(objpfx
)libm.a \
152 $(inst_libdir
)/libm.a
: $(common-objpfx
)format.lds \
153 $(inst_libdir
)/libm-
$(version
).a \
154 $(objpfx
)..
/mathvec
/libmvec.a \
156 (echo
'/* GNU ld script'; echo
'*/';\
158 echo
'GROUP ( $(libdir)/libm-$(version).a $(libdir)/libmvec.a )' \
163 # Rules for the test suite.
164 tests
= test-matherr test-fenv atest-exp atest-sincos atest-exp2 basic-test \
165 test-misc test-fpucw test-fpucw-ieee tst-definitions test-tgmath \
166 test-tgmath-ret bug-nextafter bug-nexttoward bug-tgmath1 \
167 test-tgmath-int test-tgmath2 test-powl tst-CMPLX tst-CMPLX2 test-snan \
168 test-fenv-tls test-fenv-preserve test-fenv-return test-fenvinline \
169 test-nearbyint-except test-fenv-clear test-signgam-finite \
170 test-signgam-finite-c99 test-signgam-finite-c11 \
171 test-nearbyint-except-2 test-signgam-uchar test-signgam-uchar-init \
172 test-signgam-uint test-signgam-uint-init test-signgam-ullong \
173 test-signgam-ullong-init test-nan-overflow test-nan-payload \
174 test-fexcept test-fexcept-traps test-fesetexcept \
175 test-fesetexcept-traps test-fetestexceptflag test-femode \
176 test-femode-traps test-iszero-excess-precision \
177 test-iseqsig-excess-precision test-flt-eval-method \
178 test-fp-ilogb-constants test-fp-llogb-constants \
179 test-fe-snans-always-signal
$(tests-static
)
180 tests-static
= test-fpucw-static test-fpucw-ieee-static \
181 test-signgam-uchar-static test-signgam-uchar-init-static \
182 test-signgam-uint-static test-signgam-uint-init-static \
183 test-signgam-ullong-static test-signgam-ullong-init-static
186 tests
+= test-math-isinff test-math-iszero
190 libm-vec-tests
= $(addprefix test-
,$(libmvec-tests
))
192 libm-tests
= $(foreach t
,$(types
),test-
$(t
) test-
$(t
)-finite test-i
$(t
)) \
195 libm-tests.o
= $(addsuffix .o
,$(libm-tests
))
197 tests
+= $(libm-tests
)
198 libm-vec-test-wrappers
= $(addsuffix -wrappers
, $(libm-vec-tests
))
199 test-extras
+= $(libm-vec-test-wrappers
)
200 extra-test-objs
+= $(addsuffix .o
, $(libm-vec-test-wrappers
))
201 libm-tests-generated
= libm-test-ulps.h libm-have-vector-test.h libm-test.c
202 generated
+= $(libm-tests-generated
) libm-test.stmp
204 # This is needed for dependencies
205 before-compile
+= $(objpfx
)libm-test.c
207 ulps-file
= $(firstword $(wildcard $(sysdirs
:%=%/libm-test-ulps
)))
209 $(addprefix $(objpfx
), $(libm-tests-generated
)): $(objpfx
)libm-test.stmp
211 $(objpfx
)libm-test.stmp
: $(ulps-file
) libm-test.inc gen-libm-test.pl \
212 gen-libm-have-vector-test.sh auto-libm-test-out
213 $(make-target-directory
)
214 $(PERL
) gen-libm-test.pl
-u
$< -o
"$(objpfx)"
215 $(SHELL
) gen-libm-have-vector-test.sh
> $(objpfx
)libm-have-vector-test.h
219 libm-test-fast-math-cflags
= -fno-builtin
-D__FAST_MATH__
-DTEST_FAST_MATH
220 libm-test-vec-cflags
= $(libm-test-fast-math-cflags
) -fno-inline \
221 -ffloat-store
-D_OPENMP
=201307 -Wno-unknown-pragmas
223 CFLAGS-test-double-vlen2.c
= $(libm-test-vec-cflags
)
225 CFLAGS-test-double-vlen4.c
= $(libm-test-vec-cflags
)
226 CFLAGS-test-double-vlen4-wrappers.c
= $(double-vlen4-arch-ext-cflags
)
228 CFLAGS-test-double-vlen8.c
= $(libm-test-vec-cflags
)
229 CFLAGS-test-double-vlen8-wrappers.c
= $(double-vlen8-arch-ext-cflags
)
231 CFLAGS-test-float-vlen4.c
= $(libm-test-vec-cflags
)
233 CFLAGS-test-float-vlen8.c
= $(libm-test-vec-cflags
)
234 CFLAGS-test-float-vlen8-wrappers.c
= $(float-vlen8-arch-ext-cflags
)
236 CFLAGS-test-float-vlen16.c
= $(libm-test-vec-cflags
)
237 CFLAGS-test-float-vlen16-wrappers.c
= $(float-vlen16-arch-ext-cflags
)
239 # The no-inline tests use -fsignaling-nans, and thereby use the
240 # versions of classification macros that support sNaNs. The inline
241 # function tests use the versions of classification macros that may
242 # raise spurious exceptions for sNaNs, but also do not test for
243 # exceptions. Thus both versions of the classification macros are
245 libm-test-no-inline-cflags
= -fno-inline
-ffloat-store
-fno-builtin \
247 libm-test-finite-cflags
= $(libm-test-no-inline-cflags
) \
248 -U__FINITE_MATH_ONLY__
-D__FINITE_MATH_ONLY__
=1
249 CFLAGS-test-float.c
= $(libm-test-no-inline-cflags
)
250 CFLAGS-test-float-finite.c
= $(libm-test-finite-cflags
)
251 CFLAGS-test-double.c
= $(libm-test-no-inline-cflags
)
252 CFLAGS-test-double-finite.c
= $(libm-test-finite-cflags
)
253 CFLAGS-test-ldouble.c
= $(libm-test-no-inline-cflags
)
254 CFLAGS-test-ldouble-finite.c
= $(libm-test-finite-cflags
)
255 CFLAGS-test-tgmath.c
= -fno-builtin
256 # The following testcase uses very long lines (>3 million), so it may take a
257 # while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and
258 # http://gcc.gnu.org/bugzilla/show_bug.cgi?id=54402
259 CFLAGS-test-tgmath2.c
= -fno-builtin
260 CFLAGS-test-tgmath-ret.c
= -fno-builtin
261 CFLAGS-test-powl.c
= -fno-builtin
263 CFLAGS-test-snan.c
= -fsignaling-nans
264 CPPFLAGS-test-ifloat.c
= -U__LIBC_INTERNAL_MATH_INLINES \
265 $(libm-test-fast-math-cflags
)
266 CPPFLAGS-test-idouble.c
= -U__LIBC_INTERNAL_MATH_INLINES \
267 $(libm-test-fast-math-cflags
)
268 CPPFLAGS-test-ildouble.c
= -U__LIBC_INTERNAL_MATH_INLINES \
269 $(libm-test-fast-math-cflags
)
271 CFLAGS-test-signgam-finite.c
= -ffinite-math-only
272 CFLAGS-test-signgam-finite-c99.c
= -ffinite-math-only
-std
=c99
273 CFLAGS-test-signgam-finite-c11.c
= -ffinite-math-only
-std
=c11
274 CFLAGS-test-signgam-uchar.c
= -std
=c99
275 CFLAGS-test-signgam-uchar-init.c
= -std
=c99
276 CFLAGS-test-signgam-uchar-static.c
= -std
=c99
277 CFLAGS-test-signgam-uchar-init-static.c
= -std
=c99
278 CFLAGS-test-signgam-uint.c
= -std
=c99
279 CFLAGS-test-signgam-uint-init.c
= -std
=c99
280 CFLAGS-test-signgam-uint-static.c
= -std
=c99
281 CFLAGS-test-signgam-uint-init-static.c
= -std
=c99
282 CFLAGS-test-signgam-ullong.c
= -std
=c99
283 CFLAGS-test-signgam-ullong-init.c
= -std
=c99
284 CFLAGS-test-signgam-ullong-static.c
= -std
=c99
285 CFLAGS-test-signgam-ullong-init-static.c
= -std
=c99
287 CFLAGS-test-math-isinff.
cc = -std
=gnu
++11
288 CFLAGS-test-math-iszero.
cc = -std
=gnu
++11
290 CFLAGS-test-iszero-excess-precision.c
= -fexcess-precision
=standard
291 CFLAGS-test-iseqsig-excess-precision.c
= -fexcess-precision
=standard
292 CFLAGS-test-flt-eval-method.c
= -fexcess-precision
=standard
294 CFLAGS-test-fe-snans-always-signal.c
= -fsignaling-nans
296 # The -lieee module sets the _LIB_VERSION_ switch to IEEE mode
297 # for error handling in the -lm functions.
298 install-lib
+= libieee.a
299 non-lib.a
+= libieee.a
300 extra-objs
+= libieee.a ieee-math.o
304 gen-all-calls
= $(gen-libm-calls
) $(gen-calls
)
306 generated
+= $(addsuffix .c
,$(call type-foreach
,$(gen-all-calls
))) \
307 gen-libm-templates.stmp
309 # Create wrappers in the math build directory.
310 $(objpfx
)gen-libm-templates.stmp
: Makefile
311 $(make-target-directory
)
312 for gcall in
$(gen-all-calls
); do \
313 func
=$${gcall
%F
*}$${gcall
#*F}; \
314 for type in
$(foreach t
,$(types
),$(t
)__
$(type-
$(t
)-suffix)); do \
317 file
=$(objpfx
)$${gcall
%F
*}$${suff}$${gcall
#*F}.c; \
319 echo
"#include <math-type-macros-$${type}.h>"; \
320 echo
"#include <$${func}_template.c>"; \
326 # Add dependency to ensure the generator runs prior.
327 $(foreach t
, $(call type-foreach
, $(gen-all-calls
)), \
328 $(objpfx
)$(t
).c
): $(objpfx
)gen-libm-templates.stmp
331 # This must come after the inclusion of sysdeps Makefiles via Rules.
332 $(addprefix $(objpfx
), $(libm-tests.o
)): $(objpfx
)libm-test.stmp
334 # Run the math programs to automatically generate ULPs files.
337 run-regen-ulps
= $(test-wrapper-env
) \
339 $($*-ENV
) $(rtld-prefix
) $${run}
341 regen-ulps
: $(addprefix $(objpfx
),$(libm-tests
))
342 rm -f
$(objpfx
)ULPs
; rm -f
$(objpfx
)NewUlps
; \
343 cp
$(ulps-file
) $(objpfx
)libm-test-ulps
; \
345 echo
"Regenerating ULPs for $${run}"; \
346 $(run-regen-ulps
) -u
-o
$(objpfx
); \
347 cat
$(objpfx
)ULPs
>> $(objpfx
)libm-test-ulps
; \
350 $(PERL
) gen-libm-test.pl
-o
$(objpfx
) -n
-u
$(objpfx
)libm-test-ulps
; \
351 echo
"Automatic regeneration of ULPs complete."; \
352 echo
"Difference between the current baseline and the new baseline is:";\
353 diff
-urN
$(ulps-file
) $(objpfx
)NewUlps
; \
354 echo
"Copy $(objpfx)NewUlps to $(ulps-file) (relative to source)."
357 @echo
"Automatic regeneration of ULPs requires perl."; \
361 # The generated sysd-rules file defines rules like this for sources
362 # coming from sysdeps/ directories. These rules find the generic sources.
363 define o-iterator-doit
364 $(objpfx
)m_
%$o: s_
%.c
$(before-compile
); $$(compile-command.c
)
366 object-suffixes-left
:= $(all-object-suffixes
)
367 include $(o-iterator
)
369 # Likewise, for those generated files shared with libc.
370 define o-iterator-doit
371 $(objpfx
)m_
%$o: $(objpfx
)s_
%.c
$(before-compile
); $$(compile-command.c
)
373 object-suffixes-left
:= $(all-object-suffixes
)
374 include $(o-iterator
)
376 # This file defines the default _LIB_VERSION variable that controls
377 # the error return conventions for the math functions.
378 CPPFLAGS-s_lib_version.c
:= -D_POSIX_MODE
380 # We don't want the fdlibm code to use the inline math functions,
381 # only the fdlibm code.
382 math-CPPFLAGS
+= -D__NO_MATH_INLINES
-D__LIBC_INTERNAL_MATH_INLINES
384 ifneq ($(long-double-fcts
),yes
)
385 # The `double' and `long double' types are the same on this machine.
386 # We won't compile the `long double' code at all. Tell the `double' code
387 # to define aliases for the `FUNCl' names. To avoid type conflicts in
388 # defining those aliases, tell <math.h> to declare the `FUNCl' names with
389 # `double' instead of `long double'.
390 math-CPPFLAGS
+= -DNO_LONG_DOUBLE
-D_Mlong_double_
=double
393 # These files quiet sNaNs in a way that is optimized away without
395 CFLAGS-s_modf.c
+= -fsignaling-nans
396 CFLAGS-s_modff.c
+= -fsignaling-nans
397 CFLAGS-s_modfl.c
+= -fsignaling-nans
399 # The -lieee library is actually an object file.
400 # The module just defines the _LIB_VERSION_ variable.
401 # It's not a library to make sure it is linked in instead of s_lib_version.o.
402 $(objpfx
)libieee.a
: $(objpfx
)ieee-math.o
404 $(patsubst %/,cd
% &&,$(objpfx
)) \
407 $(addprefix $(objpfx
),\
408 $(filter-out $(tests-static
) $(libm-vec-tests
),$(tests
))): $(libm
)
409 $(addprefix $(objpfx
),$(tests-static
)): $(objpfx
)libm.a
410 $(addprefix $(objpfx
), $(libm-vec-tests
)): $(objpfx
)%: $(objpfx
)%-wrappers.o \
413 gmp-objs
= $(patsubst %,$(common-objpfx
)stdlib
/%.o
,\
414 add_n sub_n cmp addmul_1 mul_1 mul_n divmod_1 \
415 lshift rshift mp_clz_tab udiv_qrnnd inlines \
416 $(gmp-sysdep_routines
))
417 $(objpfx
)atest-exp
: $(gmp-objs
)
418 $(objpfx
)atest-sincos
: $(gmp-objs
)
419 $(objpfx
)atest-exp2
: $(gmp-objs
)
420 $(objpfx
)test-fenv-tls
: $(shared-thread-library
)