1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
|
# Copyright (C) 1996-2016 Free Software Foundation, Inc.
# This file is part of the GNU C Library.
# The GNU C Library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
# License as published by the Free Software Foundation; either
# version 2.1 of the License, or (at your option) any later version.
# The GNU C Library 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
# Lesser General Public License for more details.
# You should have received a copy of the GNU Lesser General Public
# License along with the GNU C Library; if not, see
# <http://www.gnu.org/licenses/>.
# Makefile for the math library.
subdir := math
include ../Makeconfig
# Installed header files.
headers := math.h bits/mathcalls.h bits/mathinline.h bits/huge_val.h \
bits/huge_valf.h bits/huge_vall.h bits/inf.h bits/nan.h \
fpu_control.h complex.h bits/cmathcalls.h fenv.h \
bits/fenv.h bits/fenvinline.h bits/mathdef.h tgmath.h \
bits/math-finite.h bits/math-vector.h \
bits/libm-simd-decl-stubs.h bits/iscanonical.h
# FPU support code.
aux := setfpucw fpu_control
# Build the -lm library.
extra-libs := libm
extra-libs-others = $(extra-libs)
libm-support = s_lib_version s_matherr s_signgam \
fclrexcpt fgetexcptflg fraiseexcpt fsetexcptflg \
ftestexcept fegetround fesetround fegetenv feholdexcpt \
fesetenv feupdateenv t_exp fedisblxcpt feenablxcpt \
fegetexcept fesetexcept fetestexceptflag fegetmode \
fesetmode
# Wrappers for these functions generated per type using a file named
# <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
k_casinhF s_csinhF k_casinhF s_csinhF s_catanhF s_catanF \
s_ctanF s_ctanhF s_cexpF s_clogF s_cprojF s_csqrtF \
s_cpowF s_clog10F s_fdimF s_nextdownF s_fmaxF s_fminF \
s_nanF s_iseqsigF s_canonicalizeF
libm-calls = \
e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
e_hypotF e_j0F e_j1F e_jnF e_lgammaF_r e_logF e_log10F e_powF \
e_rem_pio2F e_remainderF e_scalbF e_sinhF e_sqrtF e_gammaF_r \
e_ilogbF \
k_cosF k_sinF k_tanF s_asinhF s_atanF s_cbrtF \
s_ceilF s_cosF s_erfF s_expm1F s_fabsF \
s_floorF s_log1pF w_log1pF s_logbF \
s_nextafterF s_nexttowardF s_rintF s_scalblnF w_scalblnF \
s_significandF s_sinF s_tanF s_tanhF w_acosF w_acoshF w_asinF \
w_atan2F w_atanhF w_coshF w_expF w_exp2F w_exp10F w_fmodF \
w_tgammaF w_hypotF w_j0F w_j1F w_jnF w_lgammaF w_lgammaF_r \
w_logF w_log10F w_powF w_remainderF w_scalbF w_sinhF w_sqrtF \
w_ilogbF \
s_fpclassifyF s_truncF \
s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
s_issignalingF $(calls:s_%=m_%) x2y2m1F \
gamma_productF lgamma_negF lgamma_productF \
s_nextupF s_totalorderF s_totalordermagF s_getpayloadF \
s_setpayloadF $(gen-libm-calls)
libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
$(libm-compat-calls-ldouble-$(long-double-fcts))
# Type specific routine support.
#
# The following three variables control what is included for each type:
#
# type-floatN-suffix = The suffix of the type
# type-floatN-routines = Type specific support objects
# type-floatN-yes = If the type is supported, evaluates to floatN
#
# Finally, note that types is an intentionally recursive variable.
# We only know the full set of supported types for the target machine
# after the Rules makefile has been parsed.
types = $(type-ldouble-$(long-double-fcts)) double float
# long double support
type-ldouble-suffix := l
type-ldouble-routines := t_sincosl k_sincosl s_iscanonicall
type-ldouble-yes := ldouble
# double support
type-double-suffix :=
type-double-routines := branred doasin dosincos halfulp mpa mpatan2 \
mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
slowpow sincostab k_rem_pio2
# float support
type-float-suffix := f
type-float-routines := k_rem_pio2f
# Apply suffix to each type in arg 1
type-foreach = $(foreach t,$(types),$(subst F,$(type-$(t)-suffix),$(1)))
libm-routines = $(strip $(libm-support) $(libm-compat-calls) \
$(call type-foreach, $(libm-calls)) \
$(foreach t, $(types), $(type-$(t)-routines))) \
# These functions are in libc instead of libm because __printf_fp
# calls them, so any program using printf will need them linked in,
# and we don't want to have to link every program with -lm.
# In libm-calls (above), list m_foo in place of s_foo for any
# routine that should be compiled separately for its libc and libm versions.
calls = s_isinfF s_isnanF s_finiteF s_copysignF s_modfF s_scalbnF s_frexpF \
s_signbitF $(gen-calls)
gen-calls = s_ldexpF
generated += $(foreach s,.c .S,$(call type-foreach, $(calls:s_%=m_%$(s))))
routines = $(call type-foreach, $(calls))
ifeq ($(build-mathvec),yes)
# We need to install libm.so as linker script
# for more comfortable use of vector math library.
install-lib-ldscripts := libm.so
install_subdir: $(inst_libdir)/libm.so
$(inst_libdir)/libm.so: $(common-objpfx)format.lds \
$(libm) \
$(libmvec) \
$(+force)
(echo '/* GNU ld script'; echo '*/';\
cat $<; \
echo 'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
'AS_NEEDED ( $(libdir)/libmvec_nonshared.a $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
) > $@.new
mv -f $@.new $@
endif
# Rules for the test suite.
tests = test-matherr test-fenv atest-exp atest-sincos atest-exp2 basic-test \
test-misc test-fpucw test-fpucw-ieee tst-definitions test-tgmath \
test-tgmath-ret bug-nextafter bug-nexttoward bug-tgmath1 \
test-tgmath-int test-tgmath2 test-powl tst-CMPLX tst-CMPLX2 test-snan \
test-fenv-tls test-fenv-preserve test-fenv-return test-fenvinline \
test-nearbyint-except test-fenv-clear test-signgam-finite \
test-signgam-finite-c99 test-signgam-finite-c11 \
test-nearbyint-except-2 test-signgam-uchar test-signgam-uchar-init \
test-signgam-uint test-signgam-uint-init test-signgam-ullong \
test-signgam-ullong-init test-nan-overflow test-nan-payload \
test-fexcept test-fexcept-traps test-fesetexcept \
test-fesetexcept-traps test-fetestexceptflag test-femode \
test-femode-traps test-iszero-excess-precision \
test-iseqsig-excess-precision test-flt-eval-method $(tests-static)
tests-static = test-fpucw-static test-fpucw-ieee-static \
test-signgam-uchar-static test-signgam-uchar-init-static \
test-signgam-uint-static test-signgam-uint-init-static \
test-signgam-ullong-static test-signgam-ullong-init-static
ifneq (,$(CXX))
tests += test-math-isinff test-math-iszero
endif
ifneq (no,$(PERL))
libm-vec-tests = $(addprefix test-,$(libmvec-tests))
libm-tests = $(foreach t,$(types),test-$(t) test-$(t)-finite test-i$(t)) \
$(libm-vec-tests)
libm-tests.o = $(addsuffix .o,$(libm-tests))
tests += $(libm-tests)
libm-vec-test-wrappers = $(addsuffix -wrappers, $(libm-vec-tests))
test-extras += $(libm-vec-test-wrappers)
extra-test-objs += $(addsuffix .o, $(libm-vec-test-wrappers))
libm-tests-generated = libm-test-ulps.h libm-have-vector-test.h libm-test.c
generated += $(libm-tests-generated) libm-test.stmp
# This is needed for dependencies
before-compile += $(objpfx)libm-test.c
ulps-file = $(firstword $(wildcard $(sysdirs:%=%/libm-test-ulps)))
$(addprefix $(objpfx), $(libm-tests-generated)): $(objpfx)libm-test.stmp
$(objpfx)libm-test.stmp: $(ulps-file) libm-test.inc gen-libm-test.pl \
gen-libm-have-vector-test.sh auto-libm-test-out
$(make-target-directory)
$(PERL) gen-libm-test.pl -u $< -o "$(objpfx)"
$(SHELL) gen-libm-have-vector-test.sh > $(objpfx)libm-have-vector-test.h
@echo > $@
endif
libm-test-fast-math-cflags = -fno-builtin -D__FAST_MATH__ -DTEST_FAST_MATH
libm-test-vec-cflags = $(libm-test-fast-math-cflags) -fno-inline \
-ffloat-store -D_OPENMP=201307 -Wno-unknown-pragmas
CFLAGS-test-double-vlen2.c = $(libm-test-vec-cflags)
CFLAGS-test-double-vlen4.c = $(libm-test-vec-cflags)
CFLAGS-test-double-vlen4-wrappers.c = $(double-vlen4-arch-ext-cflags)
CFLAGS-test-double-vlen8.c = $(libm-test-vec-cflags)
CFLAGS-test-double-vlen8-wrappers.c = $(double-vlen8-arch-ext-cflags)
CFLAGS-test-float-vlen4.c = $(libm-test-vec-cflags)
CFLAGS-test-float-vlen8.c = $(libm-test-vec-cflags)
CFLAGS-test-float-vlen8-wrappers.c = $(float-vlen8-arch-ext-cflags)
CFLAGS-test-float-vlen16.c = $(libm-test-vec-cflags)
CFLAGS-test-float-vlen16-wrappers.c = $(float-vlen16-arch-ext-cflags)
# The no-inline tests use -fsignaling-nans, and thereby use the
# versions of classification macros that support sNaNs. The inline
# function tests use the versions of classification macros that may
# raise spurious exceptions for sNaNs, but also do not test for
# exceptions. Thus both versions of the classification macros are
# validated.
libm-test-no-inline-cflags = -fno-inline -ffloat-store -fno-builtin \
-fsignaling-nans
libm-test-finite-cflags = $(libm-test-no-inline-cflags) \
-U__FINITE_MATH_ONLY__ -D__FINITE_MATH_ONLY__=1
CFLAGS-test-float.c = $(libm-test-no-inline-cflags)
CFLAGS-test-float-finite.c = $(libm-test-finite-cflags)
CFLAGS-test-double.c = $(libm-test-no-inline-cflags)
CFLAGS-test-double-finite.c = $(libm-test-finite-cflags)
CFLAGS-test-ldouble.c = $(libm-test-no-inline-cflags)
CFLAGS-test-ldouble-finite.c = $(libm-test-finite-cflags)
CFLAGS-test-tgmath.c = -fno-builtin
# The following testcase uses very long lines (>3 million), so it may take a
# while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and
# http://gcc.gnu.org/bugzilla/show_bug.cgi?id=54402
CFLAGS-test-tgmath2.c = -fno-builtin
CFLAGS-test-tgmath-ret.c = -fno-builtin
CFLAGS-test-powl.c = -fno-builtin
CFLAGS-test-snan.c = -fsignaling-nans
CPPFLAGS-test-ifloat.c = -U__LIBC_INTERNAL_MATH_INLINES \
$(libm-test-fast-math-cflags)
CPPFLAGS-test-idouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
$(libm-test-fast-math-cflags)
CPPFLAGS-test-ildouble.c = -U__LIBC_INTERNAL_MATH_INLINES \
$(libm-test-fast-math-cflags)
CFLAGS-test-signgam-finite.c = -ffinite-math-only
CFLAGS-test-signgam-finite-c99.c = -ffinite-math-only -std=c99
CFLAGS-test-signgam-finite-c11.c = -ffinite-math-only -std=c11
CFLAGS-test-signgam-uchar.c = -std=c99
CFLAGS-test-signgam-uchar-init.c = -std=c99
CFLAGS-test-signgam-uchar-static.c = -std=c99
CFLAGS-test-signgam-uchar-init-static.c = -std=c99
CFLAGS-test-signgam-uint.c = -std=c99
CFLAGS-test-signgam-uint-init.c = -std=c99
CFLAGS-test-signgam-uint-static.c = -std=c99
CFLAGS-test-signgam-uint-init-static.c = -std=c99
CFLAGS-test-signgam-ullong.c = -std=c99
CFLAGS-test-signgam-ullong-init.c = -std=c99
CFLAGS-test-signgam-ullong-static.c = -std=c99
CFLAGS-test-signgam-ullong-init-static.c = -std=c99
CFLAGS-test-math-isinff.cc = -std=gnu++11
CFLAGS-test-math-iszero.cc = -std=gnu++11
CFLAGS-test-iszero-excess-precision.c = -fexcess-precision=standard
CFLAGS-test-iseqsig-excess-precision.c = -fexcess-precision=standard
CFLAGS-test-flt-eval-method.c = -fexcess-precision=standard
# The -lieee module sets the _LIB_VERSION_ switch to IEEE mode
# for error handling in the -lm functions.
install-lib += libieee.a
non-lib.a += libieee.a
extra-objs += libieee.a ieee-math.o
include ../Rules
gen-all-calls = $(gen-libm-calls) $(gen-calls)
generated += $(addsuffix .c,$(call type-foreach,$(gen-all-calls))) \
gen-libm-templates.stmp
# Create wrappers in the math build directory.
$(objpfx)gen-libm-templates.stmp: Makefile
$(make-target-directory)
for gcall in $(gen-all-calls); do \
func=$${gcall%F*}$${gcall#*F}; \
for type in $(foreach t,$(types),$(t)__$(type-$(t)-suffix)); do \
suff=$${type#*__}; \
type=$${type%__*}; \
file=$(objpfx)$${gcall%F*}$${suff}$${gcall#*F}.c; \
( \
echo "#include <math-type-macros-$${type}.h>"; \
echo "#include <$${func}_template.c>"; \
) > $${file}; \
done; \
done; \
echo > $(@)
# Add dependency to ensure the generator runs prior.
$(foreach t, $(call type-foreach, $(gen-all-calls)), \
$(objpfx)$(t).c): $(objpfx)gen-libm-templates.stmp
ifneq (no,$(PERL))
# This must come after the inclusion of sysdeps Makefiles via Rules.
$(addprefix $(objpfx), $(libm-tests.o)): $(objpfx)libm-test.stmp
# Run the math programs to automatically generate ULPs files.
.PHONY: regen-ulps
run-regen-ulps = $(test-wrapper-env) \
$(run-program-env) \
$($*-ENV) $(rtld-prefix) $${run}
regen-ulps: $(addprefix $(objpfx),$(libm-tests))
rm -f $(objpfx)ULPs; rm -f $(objpfx)NewUlps; \
cp $(ulps-file) $(objpfx)libm-test-ulps; \
for run in $^; do \
echo "Regenerating ULPs for $${run}"; \
$(run-regen-ulps) -u -o $(objpfx); \
cat $(objpfx)ULPs >> $(objpfx)libm-test-ulps; \
rm $(objpfx)ULPs; \
done; \
$(PERL) gen-libm-test.pl -o $(objpfx) -n -u $(objpfx)libm-test-ulps; \
echo "Automatic regeneration of ULPs complete."; \
echo "Difference between the current baseline and the new baseline is:";\
diff -urN $(ulps-file) $(objpfx)NewUlps; \
echo "Copy $(objpfx)NewUlps to $(ulps-file) (relative to source)."
else
regen-ulps:
@echo "Automatic regeneration of ULPs requires perl."; \
exit 1;
endif
# The generated sysd-rules file defines rules like this for sources
# coming from sysdeps/ directories. These rules find the generic sources.
define o-iterator-doit
$(objpfx)m_%$o: s_%.c $(before-compile); $$(compile-command.c)
endef
object-suffixes-left := $(all-object-suffixes)
include $(o-iterator)
# Likewise, for those generated files shared with libc.
define o-iterator-doit
$(objpfx)m_%$o: $(objpfx)s_%.c $(before-compile); $$(compile-command.c)
endef
object-suffixes-left := $(all-object-suffixes)
include $(o-iterator)
# This file defines the default _LIB_VERSION variable that controls
# the error return conventions for the math functions.
CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
# We don't want the fdlibm code to use the inline math functions,
# only the fdlibm code.
math-CPPFLAGS += -D__NO_MATH_INLINES -D__LIBC_INTERNAL_MATH_INLINES
ifneq ($(long-double-fcts),yes)
# The `double' and `long double' types are the same on this machine.
# We won't compile the `long double' code at all. Tell the `double' code
# to define aliases for the `FUNCl' names. To avoid type conflicts in
# defining those aliases, tell <math.h> to declare the `FUNCl' names with
# `double' instead of `long double'.
math-CPPFLAGS += -DNO_LONG_DOUBLE -D_Mlong_double_=double
endif
# These files quiet sNaNs in a way that is optimized away without
# -fsignaling-nans.
CFLAGS-s_modf.c += -fsignaling-nans
CFLAGS-s_modff.c += -fsignaling-nans
CFLAGS-s_modfl.c += -fsignaling-nans
# The -lieee library is actually an object file.
# The module just defines the _LIB_VERSION_ variable.
# It's not a library to make sure it is linked in instead of s_lib_version.o.
$(objpfx)libieee.a: $(objpfx)ieee-math.o
rm -f $@
$(patsubst %/,cd % &&,$(objpfx)) \
$(LN_S) $(<F) $(@F)
$(addprefix $(objpfx),\
$(filter-out $(tests-static) $(libm-vec-tests),$(tests))): $(libm)
$(addprefix $(objpfx),$(tests-static)): $(objpfx)libm.a
$(addprefix $(objpfx), $(libm-vec-tests)): $(objpfx)%: $(objpfx)%-wrappers.o \
$(libm) $(libmvec)
gmp-objs = $(patsubst %,$(common-objpfx)stdlib/%.o,\
add_n sub_n cmp addmul_1 mul_1 mul_n divmod_1 \
lshift rshift mp_clz_tab udiv_qrnnd inlines \
$(gmp-sysdep_routines))
$(objpfx)atest-exp: $(gmp-objs)
$(objpfx)atest-sincos: $(gmp-objs)
$(objpfx)atest-exp2: $(gmp-objs)
$(objpfx)test-fenv-tls: $(shared-thread-library)
|