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1 # Copyright (C) 1996-2017 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 bits/iscanonical.h \
31 bits/flt-eval-method.h bits/fp-fast.h bits/fp-logb.h \
32 bits/long-double.h
33
34 # FPU support code.
35 aux := setfpucw fpu_control
36
37 # Build the -lm library.
38
39 extra-libs := libm
40 extra-libs-others = $(extra-libs)
41
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 \
47 fesetmode
48
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
58
59 libm-calls = \
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 \
63 e_ilogbF \
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 \
69 w_expF \
70 w_lgammaF w_lgammaF_r \
71 s_fpclassifyF s_truncF \
72 s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
73 s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F \
74 s_issignalingF $(calls:s_%=m_%) x2y2m1F \
75 gamma_productF lgamma_negF lgamma_productF \
76 s_nextupF s_totalorderF s_totalordermagF s_getpayloadF \
77 s_setpayloadF s_setpayloadsigF s_roundevenF s_fromfpF s_ufromfpF \
78 s_fromfpxF s_ufromfpxF $(gen-libm-calls)
79
80 libm-compat-calls-auto = \
81 w_acosF_compat w_acoshF_compat w_asinF_compat w_atan2F_compat \
82 w_atanhF_compat w_coshF_compat w_exp2F_compat w_exp10F_compat \
83 w_fmodF_compat w_hypotF_compat w_j0F_compat w_j1F_compat \
84 w_jnF_compat w_log2F_compat w_log10F_compat w_logF_compat \
85 w_powF_compat w_remainderF_compat w_scalbF_compat \
86 w_sinhF_compat w_sqrtF_compat w_tgammaF_compat
87
88 libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
89 libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
90 $(libm-compat-calls-ldouble-$(long-double-fcts))
91
92
93 # Type specific routine support.
94 #
95 # The following three variables control what is included for each type:
96 #
97 # type-floatN-suffix = The suffix of the type
98 # type-floatN-routines = Type specific support objects
99 # type-floatN-yes = If the type is supported, evaluates to floatN
100 #
101 # Finally, note that types is an intentionally recursive variable.
102 # We only know the full set of supported types for the target machine
103 # after the Rules makefile has been parsed.
104 types = $(type-ldouble-$(long-double-fcts)) double float
105
106 # long double support
107 type-ldouble-suffix := l
108 type-ldouble-routines := t_sincosl k_sincosl s_iscanonicall
109 type-ldouble-yes := ldouble
110
111 # double support
112 type-double-suffix :=
113 type-double-routines := branred doasin dosincos halfulp mpa mpatan2 \
114 mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
115 slowpow sincostab k_rem_pio2
116
117 # float support
118 type-float-suffix := f
119 type-float-routines := k_rem_pio2f
120
121
122 # Apply suffix to each type in arg 1
123 type-foreach = $(foreach t,$(types),$(subst F,$(type-$(t)-suffix),$(1)))
124
125 libm-routines = $(strip $(libm-support) $(libm-compat-calls) \
126 $(call type-foreach, $(libm-compat-calls-auto)) \
127 $(call type-foreach, $(libm-calls)) \
128 $(foreach t, $(types), $(type-$(t)-routines))) \
129
130 # These functions are in libc instead of libm because __printf_fp
131 # calls them, so any program using printf will need them linked in,
132 # and we don't want to have to link every program with -lm.
133 # In libm-calls (above), list m_foo in place of s_foo for any
134 # routine that should be compiled separately for its libc and libm versions.
135 calls = s_isinfF s_isnanF s_finiteF s_copysignF s_modfF s_scalbnF s_frexpF \
136 s_signbitF $(gen-calls)
137 gen-calls = s_ldexpF
138 generated += $(foreach s,.c .S,$(call type-foreach, $(calls:s_%=m_%$(s))))
139 routines = $(call type-foreach, $(calls))
140
141 ifeq ($(build-mathvec),yes)
142 # We need to install libm.so and libm.a as linker scripts
143 # for transparent use of vector math library.
144 install-lib-ldscripts := libm.so libm.a
145 install-others = $(inst_libdir)/libm.so $(inst_libdir)/libm.a
146 $(inst_libdir)/libm.so: $(common-objpfx)format.lds \
147 $(libm) \
148 $(libmvec) \
149 $(+force)
150 (echo '/* GNU ld script'; echo '*/';\
151 cat $<; \
152 echo 'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
153 'AS_NEEDED ( $(libdir)/libmvec_nonshared.a $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
154 ) > $@.new
155 mv -f $@.new $@
156
157 $(inst_libdir)/libm-$(version).a: $(objpfx)libm.a \
158 $(+force)
159 $(do-install)
160
161 $(inst_libdir)/libm.a: $(common-objpfx)format.lds \
162 $(inst_libdir)/libm-$(version).a \
163 $(objpfx)../mathvec/libmvec.a \
164 $(+force)
165 (echo '/* GNU ld script'; echo '*/';\
166 cat $<; \
167 echo 'GROUP ( $(libdir)/libm-$(version).a $(libdir)/libmvec.a )' \
168 ) > $@.new
169 mv -f $@.new $@
170 endif
171
172 # Rules for the test suite.
173 tests = test-matherr test-fenv atest-exp atest-sincos atest-exp2 basic-test \
174 test-misc test-fpucw test-fpucw-ieee tst-definitions test-tgmath \
175 test-tgmath-ret bug-nextafter bug-nexttoward bug-tgmath1 \
176 test-tgmath-int test-tgmath2 test-powl tst-CMPLX tst-CMPLX2 test-snan \
177 test-fenv-tls test-fenv-preserve test-fenv-return test-fenvinline \
178 test-nearbyint-except test-fenv-clear test-signgam-finite \
179 test-signgam-finite-c99 test-signgam-finite-c11 \
180 test-nearbyint-except-2 test-signgam-uchar test-signgam-uchar-init \
181 test-signgam-uint test-signgam-uint-init test-signgam-ullong \
182 test-signgam-ullong-init test-nan-overflow test-nan-payload \
183 test-fexcept test-fexcept-traps test-fesetexcept \
184 test-fesetexcept-traps test-fetestexceptflag test-femode \
185 test-femode-traps test-iszero-excess-precision \
186 test-iseqsig-excess-precision test-flt-eval-method \
187 test-fp-ilogb-constants test-fp-llogb-constants \
188 test-fe-snans-always-signal $(tests-static)
189 tests-static = test-fpucw-static test-fpucw-ieee-static \
190 test-signgam-uchar-static test-signgam-uchar-init-static \
191 test-signgam-uint-static test-signgam-uint-init-static \
192 test-signgam-ullong-static test-signgam-ullong-init-static
193
194 ifneq (,$(CXX))
195 tests += test-math-isinff test-math-iszero
196 endif
197
198 ifneq (no,$(PERL))
199 libm-vec-tests = $(addprefix test-,$(libmvec-tests))
200
201 libm-tests = $(foreach t,$(types),test-$(t) test-$(t)-finite test-i$(t)) \
202 $(libm-vec-tests)
203
204 libm-tests.o = $(addsuffix .o,$(libm-tests))
205
206 tests += $(libm-tests)
207 libm-vec-test-wrappers = $(addsuffix -wrappers, $(libm-vec-tests))
208 test-extras += $(libm-vec-test-wrappers)
209 extra-test-objs += $(addsuffix .o, $(libm-vec-test-wrappers))
210 libm-tests-generated = libm-test-ulps.h libm-have-vector-test.h libm-test.c
211 generated += $(libm-tests-generated)
212
213 ulps-file = $(firstword $(wildcard $(sysdirs:%=%/libm-test-ulps)))
214
215 $(objpfx)libm-test-ulps.h: $(ulps-file) gen-libm-test.pl
216 $(make-target-directory)
217 $(PERL) gen-libm-test.pl -u $< -H $@
218
219 $(objpfx)libm-test.c: libm-test.inc gen-libm-test.pl auto-libm-test-out
220 $(make-target-directory)
221 $(PERL) gen-libm-test.pl -c $< -a auto-libm-test-out -C $@
222
223 $(objpfx)libm-have-vector-test.h: libm-test.inc gen-libm-have-vector-test.sh
224 $(make-target-directory)
225 $(SHELL) gen-libm-have-vector-test.sh > $@
226 endif
227
228 libm-test-fast-math-cflags = -fno-builtin -D__FAST_MATH__ -DTEST_FAST_MATH
229 libm-test-vec-cflags = $(libm-test-fast-math-cflags) -fno-inline \
230 -ffloat-store -D_OPENMP=201307 -Wno-unknown-pragmas
231
232 CFLAGS-test-double-vlen2.c = $(libm-test-vec-cflags)
233
234 CFLAGS-test-double-vlen4.c = $(libm-test-vec-cflags)
235 CFLAGS-test-double-vlen4-wrappers.c = $(double-vlen4-arch-ext-cflags)
236
237 CFLAGS-test-double-vlen8.c = $(libm-test-vec-cflags)
238 CFLAGS-test-double-vlen8-wrappers.c = $(double-vlen8-arch-ext-cflags)
239
240 CFLAGS-test-float-vlen4.c = $(libm-test-vec-cflags)
241
242 CFLAGS-test-float-vlen8.c = $(libm-test-vec-cflags)
243 CFLAGS-test-float-vlen8-wrappers.c = $(float-vlen8-arch-ext-cflags)
244
245 CFLAGS-test-float-vlen16.c = $(libm-test-vec-cflags)
246 CFLAGS-test-float-vlen16-wrappers.c = $(float-vlen16-arch-ext-cflags)
247
248 # The no-inline tests use -fsignaling-nans, and thereby use the
249 # versions of classification macros that support sNaNs. The inline
250 # function tests use the versions of classification macros that may
251 # raise spurious exceptions for sNaNs, but also do not test for
252 # exceptions. Thus both versions of the classification macros are
253 # validated.
254 libm-test-no-inline-cflags = -fno-inline -ffloat-store -fno-builtin \
255 -fsignaling-nans
256 libm-test-finite-cflags = $(libm-test-no-inline-cflags) \
257 -U__FINITE_MATH_ONLY__ -D__FINITE_MATH_ONLY__=1
258 CFLAGS-test-float.c = $(libm-test-no-inline-cflags)
259 CFLAGS-test-float-finite.c = $(libm-test-finite-cflags)
260 CFLAGS-test-double.c = $(libm-test-no-inline-cflags)
261 CFLAGS-test-double-finite.c = $(libm-test-finite-cflags)
262 CFLAGS-test-ldouble.c = $(libm-test-no-inline-cflags)
263 CFLAGS-test-ldouble-finite.c = $(libm-test-finite-cflags)
264 CFLAGS-test-tgmath.c = -fno-builtin
265 # The following testcase uses very long lines (>3 million), so it may take a
266 # while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and
267 # http://gcc.gnu.org/bugzilla/show_bug.cgi?id=54402
268 CFLAGS-test-tgmath2.c = -fno-builtin
269 CFLAGS-test-tgmath-ret.c = -fno-builtin
270 CFLAGS-test-powl.c = -fno-builtin
271
272 CFLAGS-test-snan.c = -fsignaling-nans
273 CPPFLAGS-test-ifloat.c = -U__LIBC_INTERNAL_MATH_INLINES \
274 $(libm-test-fast-math-cflags)
275 CPPFLAGS-test-idouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
276 $(libm-test-fast-math-cflags)
277 CPPFLAGS-test-ildouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
278 $(libm-test-fast-math-cflags)
279
280 CFLAGS-test-signgam-finite.c = -ffinite-math-only
281 CFLAGS-test-signgam-finite-c99.c = -ffinite-math-only -std=c99
282 CFLAGS-test-signgam-finite-c11.c = -ffinite-math-only -std=c11
283 CFLAGS-test-signgam-uchar.c = -std=c99
284 CFLAGS-test-signgam-uchar-init.c = -std=c99
285 CFLAGS-test-signgam-uchar-static.c = -std=c99
286 CFLAGS-test-signgam-uchar-init-static.c = -std=c99
287 CFLAGS-test-signgam-uint.c = -std=c99
288 CFLAGS-test-signgam-uint-init.c = -std=c99
289 CFLAGS-test-signgam-uint-static.c = -std=c99
290 CFLAGS-test-signgam-uint-init-static.c = -std=c99
291 CFLAGS-test-signgam-ullong.c = -std=c99
292 CFLAGS-test-signgam-ullong-init.c = -std=c99
293 CFLAGS-test-signgam-ullong-static.c = -std=c99
294 CFLAGS-test-signgam-ullong-init-static.c = -std=c99
295
296 CFLAGS-test-math-isinff.cc = -std=gnu++11
297 CFLAGS-test-math-iszero.cc = -std=gnu++11
298
299 CFLAGS-test-iszero-excess-precision.c = -fexcess-precision=standard
300 CFLAGS-test-iseqsig-excess-precision.c = -fexcess-precision=standard
301 CFLAGS-test-flt-eval-method.c = -fexcess-precision=standard
302
303 CFLAGS-test-fe-snans-always-signal.c = -fsignaling-nans
304
305 # The -lieee module sets the _LIB_VERSION_ switch to IEEE mode
306 # for error handling in the -lm functions.
307 install-lib += libieee.a
308 non-lib.a += libieee.a
309 extra-objs += libieee.a ieee-math.o
310
311 include ../Rules
312
313 gen-all-calls = $(gen-libm-calls) $(gen-calls)
314
315 generated += $(addsuffix .c,$(call type-foreach,$(gen-all-calls))) \
316 gen-libm-templates.stmp
317
318 # Create wrappers in the math build directory.
319 $(objpfx)gen-libm-templates.stmp: Makefile
320 $(make-target-directory)
321 for gcall in $(gen-all-calls); do \
322 func=$${gcall%F*}$${gcall#*F}; \
323 for type in $(foreach t,$(types),$(t)__$(type-$(t)-suffix)); do \
324 suff=$${type#*__}; \
325 type=$${type%__*}; \
326 file=$(objpfx)$${gcall%F*}$${suff}$${gcall#*F}.c; \
327 ( \
328 echo "#include <math-type-macros-$${type}.h>"; \
329 echo "#include <$${func}_template.c>"; \
330 ) > $${file}; \
331 done; \
332 done; \
333 echo > $(@)
334
335 # Add dependency to ensure the generator runs prior.
336 $(foreach t, $(call type-foreach, $(gen-all-calls)), \
337 $(objpfx)$(t).c): $(objpfx)gen-libm-templates.stmp
338
339 ifneq (no,$(PERL))
340 # This must come after the inclusion of sysdeps Makefiles via Rules.
341 $(addprefix $(objpfx), $(libm-tests.o)): $(addprefix $(objpfx),\
342 $(libm-tests-generated))
343
344 # Run the math programs to automatically generate ULPs files.
345 .PHONY: regen-ulps
346
347 run-regen-ulps = $(test-wrapper-env) \
348 $(run-program-env) \
349 $($*-ENV) $(rtld-prefix) $${run}
350
351 regen-ulps: $(addprefix $(objpfx),$(libm-tests))
352 rm -f $(objpfx)ULPs; rm -f $(objpfx)NewUlps; \
353 cp $(ulps-file) $(objpfx)libm-test-ulps; \
354 for run in $^; do \
355 echo "Regenerating ULPs for $${run}"; \
356 $(run-regen-ulps) -u -o $(objpfx); \
357 cat $(objpfx)ULPs >> $(objpfx)libm-test-ulps; \
358 rm $(objpfx)ULPs; \
359 done; \
360 $(PERL) gen-libm-test.pl -n $(objpfx)NewUlps \
361 -u $(objpfx)libm-test-ulps; \
362 echo "Automatic regeneration of ULPs complete."; \
363 echo "Difference between the current baseline and the new baseline is:";\
364 diff -urN $(ulps-file) $(objpfx)NewUlps; \
365 echo "Copy $(objpfx)NewUlps to $(ulps-file) (relative to source)."
366 else
367 regen-ulps:
368 @echo "Automatic regeneration of ULPs requires perl."; \
369 exit 1;
370 endif
371
372 # The generated sysd-rules file defines rules like this for sources
373 # coming from sysdeps/ directories. These rules find the generic sources.
374 define o-iterator-doit
375 $(objpfx)m_%$o: s_%.c $(before-compile); $$(compile-command.c)
376 endef
377 object-suffixes-left := $(all-object-suffixes)
378 include $(o-iterator)
379
380 # Likewise, for those generated files shared with libc.
381 define o-iterator-doit
382 $(objpfx)m_%$o: $(objpfx)s_%.c $(before-compile); $$(compile-command.c)
383 endef
384 object-suffixes-left := $(all-object-suffixes)
385 include $(o-iterator)
386
387 # This file defines the default _LIB_VERSION variable that controls
388 # the error return conventions for the math functions.
389 CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
390
391 # We don't want the fdlibm code to use the inline math functions,
392 # only the fdlibm code.
393 math-CPPFLAGS += -D__NO_MATH_INLINES -D__LIBC_INTERNAL_MATH_INLINES
394
395 ifneq ($(long-double-fcts),yes)
396 # The `double' and `long double' types are the same on this machine.
397 # We won't compile the `long double' code at all. Tell the `double' code
398 # to define aliases for the `FUNCl' names. To avoid type conflicts in
399 # defining those aliases, tell <math.h> to declare the `FUNCl' names with
400 # `double' instead of `long double'.
401 math-CPPFLAGS += -DNO_LONG_DOUBLE -D_Mlong_double_=double
402 endif
403
404 # These files quiet sNaNs in a way that is optimized away without
405 # -fsignaling-nans.
406 CFLAGS-s_modf.c += -fsignaling-nans
407 CFLAGS-s_modff.c += -fsignaling-nans
408 CFLAGS-s_modfl.c += -fsignaling-nans
409
410 # The -lieee library is actually an object file.
411 # The module just defines the _LIB_VERSION_ variable.
412 # It's not a library to make sure it is linked in instead of s_lib_version.o.
413 $(objpfx)libieee.a: $(objpfx)ieee-math.o
414 rm -f $@
415 $(patsubst %/,cd % &&,$(objpfx)) \
416 $(LN_S) $(<F) $(@F)
417
418 $(addprefix $(objpfx),\
419 $(filter-out $(tests-static) $(libm-vec-tests),$(tests))): $(libm)
420 $(addprefix $(objpfx),$(tests-static)): $(objpfx)libm.a
421 $(addprefix $(objpfx), $(libm-vec-tests)): $(objpfx)%: $(objpfx)%-wrappers.o \
422 $(libm) $(libmvec)
423
424 gmp-objs = $(patsubst %,$(common-objpfx)stdlib/%.o,\
425 add_n sub_n cmp addmul_1 mul_1 mul_n divmod_1 \
426 lshift rshift mp_clz_tab udiv_qrnnd inlines \
427 $(gmp-sysdep_routines))
428 $(objpfx)atest-exp: $(gmp-objs)
429 $(objpfx)atest-sincos: $(gmp-objs)
430 $(objpfx)atest-exp2: $(gmp-objs)
431 $(objpfx)test-fenv-tls: $(shared-thread-library)