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Fix cexp, ccos, ccosh, csin, csinh spurious underflows (bug 18594).
cexp, ccos, ccosh, csin and csinh have spurious underflows in cases where they compute sin of the smallest normal, that produces an underflow exception (depending on which sin implementation is in use) but the final result does not underflow. ctan and ctanh may also have such underflows, or they may be latent (the issue there is that e.g. ctan (DBL_MIN) should, rounded upwards, be the next double value above DBL_MIN, which under glibc's accuracy goals may not have an underflow exception, but the intermediate computation of sin (DBL_MIN) would legitimately underflow on before-rounding architectures). This patch fixes all those functions so they use plain comparisons (> DBL_MIN etc.) instead of comparing the result of fpclassify with FP_SUBNORMAL (in all these cases, we already know the number being compared is finite). Note that in the case of csin / csinf / csinl, there is no need for fabs calls in the comparison because the real part has already been reduced to its absolute value. As the patch fixes the failures that previously obstructed moving tests of cexp to use ALL_RM_TEST, those tests are moved to ALL_RM_TEST by the patch (two functions remain yet to be converted). Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18594] * math/s_ccosh.c (__ccosh): Compare with least normal value instead of comparing class with FP_SUBNORMAL. * math/s_ccoshf.c (__ccoshf): Likewise. * math/s_ccoshl.c (__ccoshl): Likewise. * math/s_cexp.c (__cexp): Likewise. * math/s_cexpf.c (__cexpf): Likewise. * math/s_cexpl.c (__cexpl): Likewise. * math/s_csin.c (__csin): Likewise. * math/s_csinf.c (__csinf): Likewise. * math/s_csinh.c (__csinh): Likewise. * math/s_csinhf.c (__csinhf): Likewise. * math/s_csinhl.c (__csinhl): Likewise. * math/s_csinl.c (__csinl): Likewise. * math/s_ctan.c (__ctan): Likewise. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * math/auto-libm-test-in: Add more tests of ccos, ccosh, cexp, csin, csinh, ctan and ctanh. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (cexp_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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ChangeLog
29
ChangeLog
@ -1,3 +1,32 @@
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2015-06-24 Joseph Myers <joseph@codesourcery.com>
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[BZ #18594]
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* math/s_ccosh.c (__ccosh): Compare with least normal value
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instead of comparing class with FP_SUBNORMAL.
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* math/s_ccoshf.c (__ccoshf): Likewise.
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* math/s_ccoshl.c (__ccoshl): Likewise.
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* math/s_cexp.c (__cexp): Likewise.
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* math/s_cexpf.c (__cexpf): Likewise.
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* math/s_cexpl.c (__cexpl): Likewise.
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* math/s_csin.c (__csin): Likewise.
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* math/s_csinf.c (__csinf): Likewise.
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* math/s_csinh.c (__csinh): Likewise.
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* math/s_csinhf.c (__csinhf): Likewise.
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* math/s_csinhl.c (__csinhl): Likewise.
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* math/s_csinl.c (__csinl): Likewise.
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* math/s_ctan.c (__ctan): Likewise.
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* math/s_ctanf.c (__ctanf): Likewise.
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* math/s_ctanh.c (__ctanh): Likewise.
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* math/s_ctanhf.c (__ctanhf): Likewise.
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* math/s_ctanhl.c (__ctanhl): Likewise.
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* math/s_ctanl.c (__ctanl): Likewise.
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* math/auto-libm-test-in: Add more tests of ccos, ccosh, cexp,
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csin, csinh, ctan and ctanh.
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* math/auto-libm-test-out: Regenerated.
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* math/libm-test.inc (cexp_test): Use ALL_RM_TEST.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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2015-06-24 Roland McGrath <roland@hack.frob.com>
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* sysdeps/unix/sysv/linux/tst-getcpu.c (do_test): When sched_getcpu
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2
NEWS
2
NEWS
@ -24,7 +24,7 @@ Version 2.22
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18444, 18468, 18469, 18470, 18479, 18483, 18495, 18496, 18497, 18498,
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18507, 18512, 18513, 18519, 18520, 18522, 18527, 18528, 18529, 18530,
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18532, 18533, 18534, 18536, 18539, 18540, 18542, 18544, 18545, 18546,
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18547, 18553, 18558, 18569, 18583, 18585, 18586, 18593.
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18547, 18553, 18558, 18569, 18583, 18585, 18586, 18593, 18594.
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* Cache information can be queried via sysconf() function on s390 e.g. with
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_SC_LEVEL1_ICACHE_SIZE as argument.
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@ -496,6 +496,11 @@ ccos 0x1p-16434 22730
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ccos min_subnorm_p120 0x1p-120
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ccos 0x1p-120 min_subnorm_p120
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ccos min 1
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ccos -min 1
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ccos min_subnorm 80
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ccos -min_subnorm 80
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ccosh 0.0 0.0
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ccosh -0 0.0
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ccosh 0.0 -0
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@ -524,6 +529,11 @@ ccosh 22730 0x1p-16434
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ccosh min_subnorm_p120 0x1p-120
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ccosh 0x1p-120 min_subnorm_p120
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ccosh 1 min
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ccosh 1 -min
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ccosh 80 min_subnorm
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ccosh 80 -min_subnorm
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cexp 0 0
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cexp -0 0
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cexp 0 -0
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@ -558,6 +568,11 @@ cexp 1e6 0
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cexp 1e6 min
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cexp 1e6 -min
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cexp 1 min
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cexp 1 -min
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cexp 80 min_subnorm
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cexp 80 -min_subnorm
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cexp min min_subnorm
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cexp min -min_subnorm
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@ -985,6 +1000,11 @@ csin 0x1p-149 180
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csin 0x1p-1074 1440
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csin 0x1p-16434 22730
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csin min 1
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csin -min 1
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csin min_subnorm 80
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csin -min_subnorm 80
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csinh 0.0 0.0
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csinh -0 0.0
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csinh 0.0 -0
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@ -1015,6 +1035,11 @@ csinh 180 0x1p-149
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csinh 1440 0x1p-1074
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csinh 22730 0x1p-16434
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csinh 1 min
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csinh 1 -min
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csinh 80 min_subnorm
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csinh 80 -min_subnorm
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csqrt 0 0
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csqrt 0 -0
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csqrt -0 0
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@ -1132,6 +1157,12 @@ ctan 0x1.921fb6p+0 0x1p-149
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ctan 0x1.921fb54442d18p+0 0x1p-1074
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ctan 0x1.921fb54442d1846ap+0 0x1p-16445
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# Bug 18595: underflow exception may be missing
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ctan min 0 missing-underflow
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ctan -min 0 missing-underflow
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ctan min_subnorm 0 missing-underflow
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ctan -min_subnorm 0 missing-underflow
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ctanh 0 0
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ctanh 0 -0
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ctanh -0 0
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@ -1166,6 +1197,12 @@ ctanh 0x1p-149 0x1.921fb6p+0
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ctanh 0x1p-1074 0x1.921fb54442d18p+0
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ctanh 0x1p-16445 0x1.921fb54442d1846ap+0
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# Bug 18595: underflow exception may be missing
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ctanh 0 min missing-underflow
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ctanh 0 -min missing-underflow
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ctanh 0 min_subnorm missing-underflow
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ctanh 0 -min_subnorm missing-underflow
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erf 0
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erf -0
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erf 0.125
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File diff suppressed because it is too large
Load Diff
@ -6040,9 +6040,7 @@ static const struct test_c_c_data cexp_test_data[] =
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static void
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cexp_test (void)
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{
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START (cexp,, 0);
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RUN_TEST_LOOP_c_c (cexp, cexp_test_data, );
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END_COMPLEX;
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ALL_RM_TEST (cexp, 0, cexp_test_data, RUN_TEST_LOOP_c_c, END_COMPLEX);
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}
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@ -39,7 +39,7 @@ __ccosh (__complex__ double x)
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -113,7 +113,7 @@ __ccosh (__complex__ double x)
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/* Imaginary part is finite. */
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -39,7 +39,7 @@ __ccoshf (__complex__ float x)
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const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -113,7 +113,7 @@ __ccoshf (__complex__ float x)
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/* Imaginary part is finite. */
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -39,7 +39,7 @@ __ccoshl (__complex__ long double x)
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -113,7 +113,7 @@ __ccoshl (__complex__ long double x)
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/* Imaginary part is finite. */
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -39,7 +39,7 @@ __cexp (__complex__ double x)
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -115,7 +115,7 @@ __cexp (__complex__ double x)
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{
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -39,7 +39,7 @@ __cexpf (__complex__ float x)
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const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -115,7 +115,7 @@ __cexpf (__complex__ float x)
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{
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -39,7 +39,7 @@ __cexpl (__complex__ long double x)
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -115,7 +115,7 @@ __cexpl (__complex__ long double x)
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{
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csin (__complex__ double x)
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > DBL_MIN))
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{
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__sincos (__real__ x, &sinix, &cosix);
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}
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@ -136,7 +136,7 @@ __csin (__complex__ double x)
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/* Real part is finite. */
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double sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > DBL_MIN))
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{
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__sincos (__real__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csinf (__complex__ float x)
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const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
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float sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > FLT_MIN))
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{
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__sincosf (__real__ x, &sinix, &cosix);
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}
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@ -136,7 +136,7 @@ __csinf (__complex__ float x)
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/* Real part is finite. */
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float sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > FLT_MIN))
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{
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__sincosf (__real__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csinh (__complex__ double x)
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -130,7 +130,7 @@ __csinh (__complex__ double x)
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/* Imaginary part is finite. */
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double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
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{
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__sincos (__imag__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csinhf (__complex__ float x)
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const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -130,7 +130,7 @@ __csinhf (__complex__ float x)
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/* Imaginary part is finite. */
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float sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
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{
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__sincosf (__imag__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csinhl (__complex__ long double x)
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -130,7 +130,7 @@ __csinhl (__complex__ long double x)
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/* Imaginary part is finite. */
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long double sinix, cosix;
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if (__glibc_likely (icls != FP_SUBNORMAL))
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if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
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{
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__sincosl (__imag__ x, &sinix, &cosix);
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}
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@ -42,7 +42,7 @@ __csinl (__complex__ long double x)
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > LDBL_MIN))
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{
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__sincosl (__real__ x, &sinix, &cosix);
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}
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@ -136,7 +136,7 @@ __csinl (__complex__ long double x)
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/* Real part is finite. */
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long double sinix, cosix;
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if (__glibc_likely (rcls != FP_SUBNORMAL))
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if (__glibc_likely (__real__ x > LDBL_MIN))
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{
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__sincosl (__real__ x, &sinix, &cosix);
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}
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@ -53,12 +53,11 @@ __ctan (__complex__ double x)
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double sinrx, cosrx;
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double den;
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
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int rcls = fpclassify (__real__ x);
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/* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
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= (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
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|
||||
if (__glibc_likely (rcls != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabs (__real__ x) > DBL_MIN))
|
||||
{
|
||||
__sincos (__real__ x, &sinrx, &cosrx);
|
||||
}
|
||||
|
@ -57,7 +57,7 @@ __ctanf (__complex__ float x)
|
||||
/* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
|
||||
= (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
|
||||
|
||||
if (__glibc_likely (fpclassify(__real__ x) != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabsf (__real__ x) > FLT_MIN))
|
||||
{
|
||||
__sincosf (__real__ x, &sinrx, &cosrx);
|
||||
}
|
||||
|
@ -53,12 +53,11 @@ __ctanh (__complex__ double x)
|
||||
double sinix, cosix;
|
||||
double den;
|
||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
|
||||
int icls = fpclassify (__imag__ x);
|
||||
|
||||
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
|
||||
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
|
||||
|
||||
if (__glibc_likely (icls != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
||||
{
|
||||
__sincos (__imag__ x, &sinix, &cosix);
|
||||
}
|
||||
|
@ -57,7 +57,7 @@ __ctanhf (__complex__ float x)
|
||||
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
|
||||
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
|
||||
|
||||
if (__glibc_likely (fpclassify(__imag__ x) != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
|
||||
{
|
||||
__sincosf (__imag__ x, &sinix, &cosix);
|
||||
}
|
||||
|
@ -60,12 +60,11 @@ __ctanhl (__complex__ long double x)
|
||||
long double sinix, cosix;
|
||||
long double den;
|
||||
const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
|
||||
int icls = fpclassify (__imag__ x);
|
||||
|
||||
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
|
||||
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
|
||||
|
||||
if (__glibc_likely (icls != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
|
||||
{
|
||||
__sincosl (__imag__ x, &sinix, &cosix);
|
||||
}
|
||||
|
@ -60,12 +60,11 @@ __ctanl (__complex__ long double x)
|
||||
long double sinrx, cosrx;
|
||||
long double den;
|
||||
const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
|
||||
int rcls = fpclassify (__real__ x);
|
||||
|
||||
/* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
|
||||
= (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
|
||||
|
||||
if (__glibc_likely (rcls != FP_SUBNORMAL))
|
||||
if (__glibc_likely (fabsl (__real__ x) > LDBL_MIN))
|
||||
{
|
||||
__sincosl (__real__ x, &sinrx, &cosrx);
|
||||
}
|
||||
|
@ -668,6 +668,8 @@ double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Imaginary part of "ccosh":
|
||||
double: 1
|
||||
@ -741,6 +743,54 @@ ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "cexp_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_towardzero":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cexp_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "clog":
|
||||
double: 3
|
||||
float: 2
|
||||
@ -1052,6 +1102,8 @@ double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "csinh_downward":
|
||||
double: 1
|
||||
|
@ -744,6 +744,8 @@ double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Imaginary part of "ccosh":
|
||||
double: 1
|
||||
@ -817,6 +819,54 @@ ifloat: 2
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "cexp_downward":
|
||||
double: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_downward":
|
||||
double: 1
|
||||
float: 3
|
||||
idouble: 1
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_towardzero":
|
||||
double: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_towardzero":
|
||||
double: 1
|
||||
float: 3
|
||||
idouble: 1
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_upward":
|
||||
double: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cexp_upward":
|
||||
double: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "clog":
|
||||
double: 3
|
||||
float: 2
|
||||
@ -1146,6 +1196,8 @@ double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "csinh_downward":
|
||||
double: 2
|
||||
|
Loading…
Reference in New Issue
Block a user