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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.
20 subdir := math
22 include ../Makeconfig
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
32 # FPU support code.
33 aux := setfpucw fpu_control
35 # Build the -lm library.
37 extra-libs := libm
38 extra-libs-others = $(extra-libs)
40 libm-support = s_lib_version s_matherr s_signgam \
41 fclrexcpt fgetexcptflg fraiseexcpt fsetexcptflg \
42 ftestexcept fegetround fesetround fegetenv feholdexcpt \
43 fesetenv feupdateenv t_exp fedisblxcpt feenablxcpt \
44 fegetexcept fesetexcept fetestexceptflag fegetmode \
45 fesetmode
47 # Wrappers for these functions generated per type using a file named
48 # <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
49 gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
50 s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
51 k_casinhF s_csinhF k_casinhF s_csinhF s_catanhF s_catanF \
52 s_ctanF s_ctanhF s_cexpF s_clogF s_cprojF s_csqrtF \
53 s_cpowF s_clog10F s_fdimF s_nextdownF s_fmaxF s_fminF \
54 s_nanF
56 libm-calls = \
57 e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
58 e_hypotF e_j0F e_j1F e_jnF e_lgammaF_r e_logF e_log10F e_powF \
59 e_rem_pio2F e_remainderF e_scalbF e_sinhF e_sqrtF e_gammaF_r \
60 e_ilogbF \
61 k_cosF k_sinF k_tanF s_asinhF s_atanF s_cbrtF \
62 s_ceilF s_cosF s_erfF s_expm1F s_fabsF \
63 s_floorF s_log1pF w_log1pF s_logbF \
64 s_nextafterF s_nexttowardF s_rintF s_scalblnF w_scalblnF \
65 s_significandF s_sinF s_tanF s_tanhF w_acosF w_acoshF w_asinF \
66 w_atan2F w_atanhF w_coshF w_expF w_exp2F w_exp10F w_fmodF \
67 w_tgammaF w_hypotF w_j0F w_j1F w_jnF w_lgammaF w_lgammaF_r \
68 w_logF w_log10F w_powF w_remainderF w_scalbF w_sinhF w_sqrtF \
69 w_ilogbF \
70 s_fpclassifyF s_truncF \
71 s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
72 s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
73 s_issignalingF $(calls:s_%=m_%) x2y2m1F \
74 gamma_productF lgamma_negF lgamma_productF \
75 s_nextupF $(gen-libm-calls)
77 libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
78 libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
79 $(libm-compat-calls-ldouble-$(long-double-fcts))
82 # Type specific routine support.
84 # The following three variables control what is included for each type:
86 # type-floatN-suffix = The suffix of the type
87 # type-floatN-routines = Type specific support objects
88 # type-floatN-yes = If the type is supported, evaluates to floatN
90 # Finally, note that types is an intentionally recursive variable.
91 # We only know the full set of supported types for the target machine
92 # after the Rules makefile has been parsed.
93 types = $(type-ldouble-$(long-double-fcts)) double float
95 # long double support
96 type-ldouble-suffix := l
97 type-ldouble-routines := t_sincosl k_sincosl s_iscanonicall
98 type-ldouble-yes := ldouble
100 # double support
101 type-double-suffix :=
102 type-double-routines := branred doasin dosincos halfulp mpa mpatan2 \
103 mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
104 slowpow sincostab k_rem_pio2
106 # float support
107 type-float-suffix := f
108 type-float-routines := k_rem_pio2f
111 # Apply suffix to each type in arg 1
112 type-foreach = $(foreach t,$(types),$(subst F,$(type-$(t)-suffix),$(1)))
114 libm-routines = $(strip $(libm-support) $(libm-compat-calls) \
115 $(call type-foreach, $(libm-calls)) \
116 $(foreach t, $(types), $(type-$(t)-routines))) \
118 # These functions are in libc instead of libm because __printf_fp
119 # calls them, so any program using printf will need them linked in,
120 # and we don't want to have to link every program with -lm.
121 # In libm-calls (above), list m_foo in place of s_foo for any
122 # routine that should be compiled separately for its libc and libm versions.
123 calls = s_isinfF s_isnanF s_finiteF s_copysignF s_modfF s_scalbnF s_frexpF \
124 s_signbitF $(gen-calls)
125 gen-calls = s_ldexpF
126 generated += $(foreach s,.c .S,$(call type-foreach, $(calls:s_%=m_%$(s))))
127 routines = $(call type-foreach, $(calls))
129 ifeq ($(build-mathvec),yes)
130 # We need to install libm.so as linker script
131 # for more comfortable use of vector math library.
132 install-lib-ldscripts := libm.so
133 install_subdir: $(inst_libdir)/libm.so
134 $(inst_libdir)/libm.so: $(common-objpfx)format.lds \
135 $(libm) \
136 $(libmvec) \
137 $(+force)
138 (echo '/* GNU ld script'; echo '*/';\
139 cat $<; \
140 echo 'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
141 'AS_NEEDED ( $(libdir)/libmvec_nonshared.a $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
142 ) > $@.new
143 mv -f $@.new $@
144 endif
146 # Rules for the test suite.
147 tests = test-matherr test-fenv atest-exp atest-sincos atest-exp2 basic-test \
148 test-misc test-fpucw test-fpucw-ieee tst-definitions test-tgmath \
149 test-tgmath-ret bug-nextafter bug-nexttoward bug-tgmath1 \
150 test-tgmath-int test-tgmath2 test-powl tst-CMPLX tst-CMPLX2 test-snan \
151 test-fenv-tls test-fenv-preserve test-fenv-return test-fenvinline \
152 test-nearbyint-except test-fenv-clear test-signgam-finite \
153 test-signgam-finite-c99 test-signgam-finite-c11 \
154 test-nearbyint-except-2 test-signgam-uchar test-signgam-uchar-init \
155 test-signgam-uint test-signgam-uint-init test-signgam-ullong \
156 test-signgam-ullong-init test-nan-overflow test-nan-payload \
157 test-fexcept test-fexcept-traps test-fesetexcept \
158 test-fesetexcept-traps test-fetestexceptflag test-femode \
159 test-femode-traps test-iszero-excess-precision $(tests-static)
160 tests-static = test-fpucw-static test-fpucw-ieee-static \
161 test-signgam-uchar-static test-signgam-uchar-init-static \
162 test-signgam-uint-static test-signgam-uint-init-static \
163 test-signgam-ullong-static test-signgam-ullong-init-static
165 ifneq (,$(CXX))
166 tests += test-math-isinff
167 endif
169 ifneq (no,$(PERL))
170 libm-vec-tests = $(addprefix test-,$(libmvec-tests))
172 libm-tests = $(foreach t,$(types),test-$(t) test-$(t)-finite test-i$(t)) \
173 $(libm-vec-tests)
175 libm-tests.o = $(addsuffix .o,$(libm-tests))
177 tests += $(libm-tests)
178 libm-vec-test-wrappers = $(addsuffix -wrappers, $(libm-vec-tests))
179 test-extras += $(libm-vec-test-wrappers)
180 extra-test-objs += $(addsuffix .o, $(libm-vec-test-wrappers))
181 libm-tests-generated = libm-test-ulps.h libm-have-vector-test.h libm-test.c
182 generated += $(libm-tests-generated) libm-test.stmp
184 # This is needed for dependencies
185 before-compile += $(objpfx)libm-test.c
187 ulps-file = $(firstword $(wildcard $(sysdirs:%=%/libm-test-ulps)))
189 $(addprefix $(objpfx), $(libm-tests-generated)): $(objpfx)libm-test.stmp
191 $(objpfx)libm-test.stmp: $(ulps-file) libm-test.inc gen-libm-test.pl \
192 gen-libm-have-vector-test.sh auto-libm-test-out
193 $(make-target-directory)
194 $(PERL) gen-libm-test.pl -u $< -o "$(objpfx)"
195 $(SHELL) gen-libm-have-vector-test.sh > $(objpfx)libm-have-vector-test.h
196 @echo > $@
197 endif
199 libm-test-fast-math-cflags = -fno-builtin -D__FAST_MATH__ -DTEST_FAST_MATH
200 libm-test-vec-cflags = $(libm-test-fast-math-cflags) -fno-inline \
201 -ffloat-store -D_OPENMP=201307 -Wno-unknown-pragmas
203 CFLAGS-test-double-vlen2.c = $(libm-test-vec-cflags)
205 CFLAGS-test-double-vlen4.c = $(libm-test-vec-cflags)
206 CFLAGS-test-double-vlen4-wrappers.c = $(double-vlen4-arch-ext-cflags)
208 CFLAGS-test-double-vlen8.c = $(libm-test-vec-cflags)
209 CFLAGS-test-double-vlen8-wrappers.c = $(double-vlen8-arch-ext-cflags)
211 CFLAGS-test-float-vlen4.c = $(libm-test-vec-cflags)
213 CFLAGS-test-float-vlen8.c = $(libm-test-vec-cflags)
214 CFLAGS-test-float-vlen8-wrappers.c = $(float-vlen8-arch-ext-cflags)
216 CFLAGS-test-float-vlen16.c = $(libm-test-vec-cflags)
217 CFLAGS-test-float-vlen16-wrappers.c = $(float-vlen16-arch-ext-cflags)
219 # The no-inline tests use -fsignaling-nans, and thereby use the
220 # versions of classification macros that support sNaNs. The inline
221 # function tests use the versions of classification macros that may
222 # raise spurious exceptions for sNaNs, but also do not test for
223 # exceptions. Thus both versions of the classification macros are
224 # validated.
225 libm-test-no-inline-cflags = -fno-inline -ffloat-store -fno-builtin \
226 -fsignaling-nans
227 libm-test-finite-cflags = $(libm-test-no-inline-cflags) \
228 -U__FINITE_MATH_ONLY__ -D__FINITE_MATH_ONLY__=1
229 CFLAGS-test-float.c = $(libm-test-no-inline-cflags)
230 CFLAGS-test-float-finite.c = $(libm-test-finite-cflags)
231 CFLAGS-test-double.c = $(libm-test-no-inline-cflags)
232 CFLAGS-test-double-finite.c = $(libm-test-finite-cflags)
233 CFLAGS-test-ldouble.c = $(libm-test-no-inline-cflags)
234 CFLAGS-test-ldouble-finite.c = $(libm-test-finite-cflags)
235 CFLAGS-test-tgmath.c = -fno-builtin
236 # The following testcase uses very long lines (>3 million), so it may take a
237 # while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and
238 # http://gcc.gnu.org/bugzilla/show_bug.cgi?id=54402
239 CFLAGS-test-tgmath2.c = -fno-builtin
240 CFLAGS-test-tgmath-ret.c = -fno-builtin
241 CFLAGS-test-powl.c = -fno-builtin
243 CFLAGS-test-snan.c = -fsignaling-nans
244 CPPFLAGS-test-ifloat.c = -U__LIBC_INTERNAL_MATH_INLINES \
245 $(libm-test-fast-math-cflags)
246 CPPFLAGS-test-idouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
247 $(libm-test-fast-math-cflags)
248 CPPFLAGS-test-ildouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
249 $(libm-test-fast-math-cflags)
251 CFLAGS-test-signgam-finite.c = -ffinite-math-only
252 CFLAGS-test-signgam-finite-c99.c = -ffinite-math-only -std=c99
253 CFLAGS-test-signgam-finite-c11.c = -ffinite-math-only -std=c11
254 CFLAGS-test-signgam-uchar.c = -std=c99
255 CFLAGS-test-signgam-uchar-init.c = -std=c99
256 CFLAGS-test-signgam-uchar-static.c = -std=c99
257 CFLAGS-test-signgam-uchar-init-static.c = -std=c99
258 CFLAGS-test-signgam-uint.c = -std=c99
259 CFLAGS-test-signgam-uint-init.c = -std=c99
260 CFLAGS-test-signgam-uint-static.c = -std=c99
261 CFLAGS-test-signgam-uint-init-static.c = -std=c99
262 CFLAGS-test-signgam-ullong.c = -std=c99
263 CFLAGS-test-signgam-ullong-init.c = -std=c99
264 CFLAGS-test-signgam-ullong-static.c = -std=c99
265 CFLAGS-test-signgam-ullong-init-static.c = -std=c99
267 CFLAGS-test-math-isinff.cc = -std=gnu++11
269 CFLAGS-test-iszero-excess-precision.c = -fexcess-precision=standard
271 # The -lieee module sets the _LIB_VERSION_ switch to IEEE mode
272 # for error handling in the -lm functions.
273 install-lib += libieee.a
274 non-lib.a += libieee.a
275 extra-objs += libieee.a ieee-math.o
277 include ../Rules
279 gen-all-calls = $(gen-libm-calls) $(gen-calls)
281 generated += $(addsuffix .c,$(call type-foreach,$(gen-all-calls))) \
282 gen-libm-templates.stmp
284 # Create wrappers in the math build directory.
285 $(objpfx)gen-libm-templates.stmp: Makefile
286 $(make-target-directory)
287 for gcall in $(gen-all-calls); do \
288 func=$${gcall%F*}$${gcall#*F}; \
289 for type in $(foreach t,$(types),$(t)__$(type-$(t)-suffix)); do \
290 suff=$${type#*__}; \
291 type=$${type%__*}; \
292 file=$(objpfx)$${gcall%F*}$${suff}$${gcall#*F}.c; \
294 echo "#include <math-type-macros-$${type}.h>"; \
295 echo "#include <$${func}_template.c>"; \
296 ) > $${file}; \
297 done; \
298 done; \
299 echo > $(@)
301 # Add dependency to ensure the generator runs prior.
302 $(foreach t, $(call type-foreach, $(gen-all-calls)), \
303 $(objpfx)$(t).c): $(objpfx)gen-libm-templates.stmp
305 ifneq (no,$(PERL))
306 # This must come after the inclusion of sysdeps Makefiles via Rules.
307 $(addprefix $(objpfx), $(libm-tests.o)): $(objpfx)libm-test.stmp
309 # Run the math programs to automatically generate ULPs files.
310 .PHONY: regen-ulps
312 run-regen-ulps = $(test-wrapper-env) \
313 $(run-program-env) \
314 $($*-ENV) $(rtld-prefix) $${run}
316 regen-ulps: $(addprefix $(objpfx),$(libm-tests))
317 rm -f $(objpfx)ULPs; rm -f $(objpfx)NewUlps; \
318 cp $(ulps-file) $(objpfx)libm-test-ulps; \
319 for run in $^; do \
320 echo "Regenerating ULPs for $${run}"; \
321 $(run-regen-ulps) -u -o $(objpfx); \
322 cat $(objpfx)ULPs >> $(objpfx)libm-test-ulps; \
323 rm $(objpfx)ULPs; \
324 done; \
325 $(PERL) gen-libm-test.pl -o $(objpfx) -n -u $(objpfx)libm-test-ulps; \
326 echo "Automatic regeneration of ULPs complete."; \
327 echo "Difference between the current baseline and the new baseline is:";\
328 diff -urN $(ulps-file) $(objpfx)NewUlps; \
329 echo "Copy $(objpfx)NewUlps to $(ulps-file) (relative to source)."
330 else
331 regen-ulps:
332 @echo "Automatic regeneration of ULPs requires perl."; \
333 exit 1;
334 endif
336 # The generated sysd-rules file defines rules like this for sources
337 # coming from sysdeps/ directories. These rules find the generic sources.
338 define o-iterator-doit
339 $(objpfx)m_%$o: s_%.c $(before-compile); $$(compile-command.c)
340 endef
341 object-suffixes-left := $(all-object-suffixes)
342 include $(o-iterator)
344 # Likewise, for those generated files shared with libc.
345 define o-iterator-doit
346 $(objpfx)m_%$o: $(objpfx)s_%.c $(before-compile); $$(compile-command.c)
347 endef
348 object-suffixes-left := $(all-object-suffixes)
349 include $(o-iterator)
351 # This file defines the default _LIB_VERSION variable that controls
352 # the error return conventions for the math functions.
353 CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
355 # We don't want the fdlibm code to use the inline math functions,
356 # only the fdlibm code.
357 math-CPPFLAGS += -D__NO_MATH_INLINES -D__LIBC_INTERNAL_MATH_INLINES
359 ifneq ($(long-double-fcts),yes)
360 # The `double' and `long double' types are the same on this machine.
361 # We won't compile the `long double' code at all. Tell the `double' code
362 # to define aliases for the `FUNCl' names. To avoid type conflicts in
363 # defining those aliases, tell <math.h> to declare the `FUNCl' names with
364 # `double' instead of `long double'.
365 math-CPPFLAGS += -DNO_LONG_DOUBLE -D_Mlong_double_=double
366 endif
368 # These files quiet sNaNs in a way that is optimized away without
369 # -fsignaling-nans.
370 CFLAGS-s_modf.c += -fsignaling-nans
371 CFLAGS-s_modff.c += -fsignaling-nans
372 CFLAGS-s_modfl.c += -fsignaling-nans
374 # The -lieee library is actually an object file.
375 # The module just defines the _LIB_VERSION_ variable.
376 # It's not a library to make sure it is linked in instead of s_lib_version.o.
377 $(objpfx)libieee.a: $(objpfx)ieee-math.o
378 rm -f $@
379 $(patsubst %/,cd % &&,$(objpfx)) \
380 $(LN_S) $(<F) $(@F)
382 $(addprefix $(objpfx),\
383 $(filter-out $(tests-static) $(libm-vec-tests),$(tests))): $(libm)
384 $(addprefix $(objpfx),$(tests-static)): $(objpfx)libm.a
385 $(addprefix $(objpfx), $(libm-vec-tests)): $(objpfx)%: $(objpfx)%-wrappers.o \
386 $(libm) $(libmvec)
388 gmp-objs = $(patsubst %,$(common-objpfx)stdlib/%.o,\
389 add_n sub_n cmp addmul_1 mul_1 mul_n divmod_1 \
390 lshift rshift mp_clz_tab udiv_qrnnd inlines \
391 $(gmp-sysdep_routines))
392 $(objpfx)atest-exp: $(gmp-objs)
393 $(objpfx)atest-sincos: $(gmp-objs)
394 $(objpfx)atest-exp2: $(gmp-objs)
395 $(objpfx)test-fenv-tls: $(shared-thread-library)