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1 # Copyright (C) 1996-2016 Free Software Foundation, Inc.
2 # This file is part of the GNU C Library.
3
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.
8
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.
13
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/>.
17
18 # Makefile for the math library.
19
20 subdir := math
21
22 include ../Makeconfig
23
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
31
32 # FPU support code.
33 aux := setfpucw fpu_control
34
35 # Build the -lm library.
36
37 extra-libs := libm
38 extra-libs-others = $(extra-libs)
39
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
45
46 # Wrappers for these functions generated per type using a file named
47 # <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
48 gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
49 s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
50 k_casinhF s_csinhF k_casinhF s_csinhF s_catanhF s_catanF \
51 s_ctanF s_ctanhF s_cexpF s_clogF s_cprojF s_csqrtF \
52 s_cpowF s_clog10F s_fdimF s_nextdownF
53
54 libm-calls = \
55 e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
56 e_hypotF e_j0F e_j1F e_jnF e_lgammaF_r e_logF e_log10F e_powF \
57 e_rem_pio2F e_remainderF e_scalbF e_sinhF e_sqrtF e_gammaF_r \
58 e_ilogbF \
59 k_cosF k_rem_pio2F k_sinF k_tanF s_asinhF s_atanF s_cbrtF \
60 s_ceilF s_cosF s_erfF s_expm1F s_fabsF \
61 s_floorF s_log1pF w_log1pF s_logbF \
62 s_nextafterF s_nexttowardF s_rintF s_scalblnF w_scalblnF \
63 s_significandF s_sinF s_tanF s_tanhF w_acosF w_acoshF w_asinF \
64 w_atan2F w_atanhF w_coshF w_expF w_exp2F w_exp10F w_fmodF \
65 w_tgammaF w_hypotF w_j0F w_j1F w_jnF w_lgammaF w_lgammaF_r \
66 w_logF w_log10F w_powF w_remainderF w_scalbF w_sinhF w_sqrtF \
67 w_ilogbF \
68 s_fpclassifyF s_fmaxF s_fminF s_nanF s_truncF \
69 s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
70 s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
71 s_issignalingF $(calls:s_%=m_%) x2y2m1F \
72 gamma_productF lgamma_negF lgamma_productF \
73 s_nextupF $(gen-libm-calls)
74
75 libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
76 libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
77 $(libm-compat-calls-ldouble-$(long-double-fcts))
78
79
80 # Type specific routine support.
81 #
82 # The following three variables control what is included for each type:
83 #
84 # type-floatN-suffix = The suffix of the type
85 # type-floatN-routines = Type specific support objects
86 # type-floatN-yes = If the type is supported, evaluates to floatN
87 #
88 # Finally, note that types is an intentionally recursive variable.
89 # We only know the full set of supported types for the target machine
90 # after the Rules makefile has been parsed.
91 types = $(type-ldouble-$(long-double-fcts)) double float
92
93 # long double support
94 type-ldouble-suffix := l
95 type-ldouble-routines := t_sincosl k_sincosl
96 type-ldouble-yes := ldouble
97
98 # double support
99 type-double-suffix :=
100 type-double-routines := branred doasin dosincos halfulp mpa mpatan2 \
101 mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
102 slowpow sincostab
103
104 # float support
105 type-float-suffix := f
106 type-float-routines :=
107
108
109 # Apply suffix to each type in arg 1
110 type-foreach = $(foreach t,$(types),$(subst F,$(type-$(t)-suffix),$(1)))
111
112 libm-routines = $(strip $(libm-support) $(libm-compat-calls) \
113 $(call type-foreach, $(libm-calls)) \
114 $(foreach t, $(types), $(type-$(t)-routines))) \
115
116 # These functions are in libc instead of libm because __printf_fp
117 # calls them, so any program using printf will need them linked in,
118 # and we don't want to have to link every program with -lm.
119 # In libm-calls (above), list m_foo in place of s_foo for any
120 # routine that should be compiled separately for its libc and libm versions.
121 calls = s_isinfF s_isnanF s_finiteF s_copysignF s_modfF s_scalbnF s_frexpF \
122 s_ldexpF s_signbitF
123 generated += $(foreach s,.c .S,$(call type-foreach, $(calls:s_%=m_%$(s))))
124 routines = $(call type-foreach, $(calls))
125
126 ifeq ($(build-mathvec),yes)
127 # We need to install libm.so as linker script
128 # for more comfortable use of vector math library.
129 install-lib-ldscripts := libm.so
130 install_subdir: $(inst_libdir)/libm.so
131 $(inst_libdir)/libm.so: $(common-objpfx)format.lds \
132 $(libm) \
133 $(libmvec) \
134 $(+force)
135 (echo '/* GNU ld script'; echo '*/';\
136 cat $<; \
137 echo 'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
138 'AS_NEEDED ( $(libdir)/libmvec_nonshared.a $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
139 ) > $@.new
140 mv -f $@.new $@
141 endif
142
143 # Rules for the test suite.
144 tests = test-matherr test-fenv atest-exp atest-sincos atest-exp2 basic-test \
145 test-misc test-fpucw test-fpucw-ieee tst-definitions test-tgmath \
146 test-tgmath-ret bug-nextafter bug-nexttoward bug-tgmath1 \
147 test-tgmath-int test-tgmath2 test-powl tst-CMPLX tst-CMPLX2 test-snan \
148 test-fenv-tls test-fenv-preserve test-fenv-return test-fenvinline \
149 test-nearbyint-except test-fenv-clear test-signgam-finite \
150 test-signgam-finite-c99 test-signgam-finite-c11 \
151 test-nearbyint-except-2 test-signgam-uchar test-signgam-uchar-init \
152 test-signgam-uint test-signgam-uint-init test-signgam-ullong \
153 test-signgam-ullong-init test-nan-overflow test-nan-payload \
154 test-fexcept test-fexcept-traps test-fesetexcept \
155 test-fesetexcept-traps test-fetestexceptflag $(tests-static)
156 tests-static = test-fpucw-static test-fpucw-ieee-static \
157 test-signgam-uchar-static test-signgam-uchar-init-static \
158 test-signgam-uint-static test-signgam-uint-init-static \
159 test-signgam-ullong-static test-signgam-ullong-init-static
160
161 ifneq (,$(CXX))
162 tests += test-math-isinff
163 endif
164
165 ifneq (no,$(PERL))
166 libm-vec-tests = $(addprefix test-,$(libmvec-tests))
167
168 libm-tests = $(foreach t,$(types),test-$(t) test-$(t)-finite test-i$(t)) \
169 $(libm-vec-tests)
170
171 libm-tests.o = $(addsuffix .o,$(libm-tests))
172
173 tests += $(libm-tests)
174 libm-vec-test-wrappers = $(addsuffix -wrappers, $(libm-vec-tests))
175 test-extras += $(libm-vec-test-wrappers)
176 extra-test-objs += $(addsuffix .o, $(libm-vec-test-wrappers))
177 libm-tests-generated = libm-test-ulps.h libm-have-vector-test.h libm-test.c
178 generated += $(libm-tests-generated) libm-test.stmp
179
180 # This is needed for dependencies
181 before-compile += $(objpfx)libm-test.c
182
183 ulps-file = $(firstword $(wildcard $(sysdirs:%=%/libm-test-ulps)))
184
185 $(addprefix $(objpfx), $(libm-tests-generated)): $(objpfx)libm-test.stmp
186
187 $(objpfx)libm-test.stmp: $(ulps-file) libm-test.inc gen-libm-test.pl \
188 gen-libm-have-vector-test.sh auto-libm-test-out
189 $(make-target-directory)
190 $(PERL) gen-libm-test.pl -u $< -o "$(objpfx)"
191 $(SHELL) gen-libm-have-vector-test.sh > $(objpfx)libm-have-vector-test.h
192 @echo > $@
193 endif
194
195 libm-test-fast-math-cflags = -fno-builtin -D__FAST_MATH__ -DTEST_FAST_MATH
196 libm-test-vec-cflags = $(libm-test-fast-math-cflags) -fno-inline \
197 -ffloat-store -D_OPENMP=201307 -Wno-unknown-pragmas
198
199 CFLAGS-test-double-vlen2.c = $(libm-test-vec-cflags)
200
201 CFLAGS-test-double-vlen4.c = $(libm-test-vec-cflags)
202 CFLAGS-test-double-vlen4-wrappers.c = $(double-vlen4-arch-ext-cflags)
203
204 CFLAGS-test-double-vlen8.c = $(libm-test-vec-cflags)
205 CFLAGS-test-double-vlen8-wrappers.c = $(double-vlen8-arch-ext-cflags)
206
207 CFLAGS-test-float-vlen4.c = $(libm-test-vec-cflags)
208
209 CFLAGS-test-float-vlen8.c = $(libm-test-vec-cflags)
210 CFLAGS-test-float-vlen8-wrappers.c = $(float-vlen8-arch-ext-cflags)
211
212 CFLAGS-test-float-vlen16.c = $(libm-test-vec-cflags)
213 CFLAGS-test-float-vlen16-wrappers.c = $(float-vlen16-arch-ext-cflags)
214
215 # The no-inline tests use -fsignaling-nans, and thereby use the
216 # versions of classification macros that support sNaNs. The inline
217 # function tests use the versions of classification macros that may
218 # raise spurious exceptions for sNaNs, but also do not test for
219 # exceptions. Thus both versions of the classification macros are
220 # validated.
221 libm-test-no-inline-cflags = -fno-inline -ffloat-store -fno-builtin \
222 -fsignaling-nans
223 libm-test-finite-cflags = $(libm-test-no-inline-cflags) \
224 -U__FINITE_MATH_ONLY__ -D__FINITE_MATH_ONLY__=1
225 CFLAGS-test-float.c = $(libm-test-no-inline-cflags)
226 CFLAGS-test-float-finite.c = $(libm-test-finite-cflags)
227 CFLAGS-test-double.c = $(libm-test-no-inline-cflags)
228 CFLAGS-test-double-finite.c = $(libm-test-finite-cflags)
229 CFLAGS-test-ldouble.c = $(libm-test-no-inline-cflags)
230 CFLAGS-test-ldouble-finite.c = $(libm-test-finite-cflags)
231 CFLAGS-test-tgmath.c = -fno-builtin
232 # The following testcase uses very long lines (>3 million), so it may take a
233 # while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and
234 # http://gcc.gnu.org/bugzilla/show_bug.cgi?id=54402
235 CFLAGS-test-tgmath2.c = -fno-builtin
236 CFLAGS-test-tgmath-ret.c = -fno-builtin
237 CFLAGS-test-powl.c = -fno-builtin
238
239 CFLAGS-test-snan.c = -fsignaling-nans
240 CPPFLAGS-test-ifloat.c = -U__LIBC_INTERNAL_MATH_INLINES \
241 $(libm-test-fast-math-cflags)
242 CPPFLAGS-test-idouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
243 $(libm-test-fast-math-cflags)
244 CPPFLAGS-test-ildouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
245 $(libm-test-fast-math-cflags)
246
247 CFLAGS-test-signgam-finite.c = -ffinite-math-only
248 CFLAGS-test-signgam-finite-c99.c = -ffinite-math-only -std=c99
249 CFLAGS-test-signgam-finite-c11.c = -ffinite-math-only -std=c11
250 CFLAGS-test-signgam-uchar.c = -std=c99
251 CFLAGS-test-signgam-uchar-init.c = -std=c99
252 CFLAGS-test-signgam-uchar-static.c = -std=c99
253 CFLAGS-test-signgam-uchar-init-static.c = -std=c99
254 CFLAGS-test-signgam-uint.c = -std=c99
255 CFLAGS-test-signgam-uint-init.c = -std=c99
256 CFLAGS-test-signgam-uint-static.c = -std=c99
257 CFLAGS-test-signgam-uint-init-static.c = -std=c99
258 CFLAGS-test-signgam-ullong.c = -std=c99
259 CFLAGS-test-signgam-ullong-init.c = -std=c99
260 CFLAGS-test-signgam-ullong-static.c = -std=c99
261 CFLAGS-test-signgam-ullong-init-static.c = -std=c99
262
263 CFLAGS-test-math-isinff.cc = -std=gnu++11
264
265 # The -lieee module sets the _LIB_VERSION_ switch to IEEE mode
266 # for error handling in the -lm functions.
267 install-lib += libieee.a
268 non-lib.a += libieee.a
269 extra-objs += libieee.a ieee-math.o
270
271 include ../Rules
272
273 generated += $(addsuffix .c,$(call type-foreach,$(gen-libm-calls))) \
274 gen-libm-templates.stmp
275
276 # Create wrappers in the math build directory.
277 $(objpfx)gen-libm-templates.stmp:
278 for gcall in $(gen-libm-calls); do \
279 func=$${gcall%F*}$${gcall#*F}; \
280 for type in $(foreach t,$(types),$(t)__$(type-$(t)-suffix)); do \
281 suff=$${type#*__}; \
282 type=$${type%__*}; \
283 file=$(objpfx)$${gcall%F*}$${suff}$${gcall#*F}.c; \
284 ( \
285 echo "#include <math-type-macros-$${type}.h>"; \
286 echo "#include <$${func}_template.c>"; \
287 ) > $${file}; \
288 done; \
289 done; \
290 echo > $(@)
291
292 # Add dependency to ensure the generator runs prior.
293 $(foreach t, $(call type-foreach, $(gen-libm-calls)), \
294 $(objpfx)$(t).c): $(objpfx)gen-libm-templates.stmp
295
296 ifneq (no,$(PERL))
297 # This must come after the inclusion of sysdeps Makefiles via Rules.
298 $(addprefix $(objpfx), $(libm-tests.o)): $(objpfx)libm-test.stmp
299
300 # Run the math programs to automatically generate ULPs files.
301 .PHONY: regen-ulps
302
303 run-regen-ulps = $(test-wrapper-env) \
304 $(run-program-env) \
305 $($*-ENV) $(rtld-prefix) $${run}
306
307 regen-ulps: $(addprefix $(objpfx),$(libm-tests))
308 rm -f $(objpfx)ULPs; rm -f $(objpfx)NewUlps; \
309 cp $(ulps-file) $(objpfx)libm-test-ulps; \
310 for run in $^; do \
311 echo "Regenerating ULPs for $${run}"; \
312 $(run-regen-ulps) -u -o $(objpfx); \
313 cat $(objpfx)ULPs >> $(objpfx)libm-test-ulps; \
314 rm $(objpfx)ULPs; \
315 done; \
316 $(PERL) gen-libm-test.pl -o $(objpfx) -n -u $(objpfx)libm-test-ulps; \
317 echo "Automatic regeneration of ULPs complete."; \
318 echo "Difference between the current baseline and the new baseline is:";\
319 diff -urN $(ulps-file) $(objpfx)NewUlps; \
320 echo "Copy $(objpfx)NewUlps to $(ulps-file) (relative to source)."
321 else
322 regen-ulps:
323 @echo "Automatic regeneration of ULPs requires perl."; \
324 exit 1;
325 endif
326
327 # The generated sysd-rules file defines rules like this for sources
328 # coming from sysdeps/ directories. These rules find the generic sources.
329 define o-iterator-doit
330 $(objpfx)m_%$o: s_%.c $(before-compile); $$(compile-command.c)
331 endef
332 object-suffixes-left := $(all-object-suffixes)
333 include $(o-iterator)
334
335
336 # This file defines the default _LIB_VERSION variable that controls
337 # the error return conventions for the math functions.
338 CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
339
340 # We don't want the fdlibm code to use the inline math functions,
341 # only the fdlibm code.
342 math-CPPFLAGS += -D__NO_MATH_INLINES -D__LIBC_INTERNAL_MATH_INLINES
343
344 ifneq ($(long-double-fcts),yes)
345 # The `double' and `long double' types are the same on this machine.
346 # We won't compile the `long double' code at all. Tell the `double' code
347 # to define aliases for the `FUNCl' names. To avoid type conflicts in
348 # defining those aliases, tell <math.h> to declare the `FUNCl' names with
349 # `double' instead of `long double'.
350 math-CPPFLAGS += -DNO_LONG_DOUBLE -D_Mlong_double_=double
351 endif
352
353 # These files quiet sNaNs in a way that is optimized away without
354 # -fsignaling-nans.
355 CFLAGS-s_modf.c += -fsignaling-nans
356 CFLAGS-s_modff.c += -fsignaling-nans
357 CFLAGS-s_modfl.c += -fsignaling-nans
358
359 # The -lieee library is actually an object file.
360 # The module just defines the _LIB_VERSION_ variable.
361 # It's not a library to make sure it is linked in instead of s_lib_version.o.
362 $(objpfx)libieee.a: $(objpfx)ieee-math.o
363 rm -f $@
364 $(patsubst %/,cd % &&,$(objpfx)) \
365 $(LN_S) $(<F) $(@F)
366
367 $(addprefix $(objpfx),\
368 $(filter-out $(tests-static) $(libm-vec-tests),$(tests))): $(libm)
369 $(addprefix $(objpfx),$(tests-static)): $(objpfx)libm.a
370 $(addprefix $(objpfx), $(libm-vec-tests)): $(objpfx)%: $(objpfx)%-wrappers.o \
371 $(libm) $(libmvec)
372
373 gmp-objs = $(patsubst %,$(common-objpfx)stdlib/%.o,\
374 add_n sub_n cmp addmul_1 mul_1 mul_n divmod_1 \
375 lshift rshift mp_clz_tab udiv_qrnnd inlines \
376 $(gmp-sysdep_routines))
377 $(objpfx)atest-exp: $(gmp-objs)
378 $(objpfx)atest-sincos: $(gmp-objs)
379 $(objpfx)atest-exp2: $(gmp-objs)
380 $(objpfx)test-fenv-tls: $(shared-thread-library)