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Correct tinyness handling in long-double and float y0/y1.
With help from Joseph Myers. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Adjust tinyness cutoff to 2**-13. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Adjust tinyness cutoff to 2**-25. * sysdeps/ieee754/ldbl-128/e_j0l.c (U0): New constant. ( __ieee754_y0l): Avoid arithmetic underflow when 'x' is very small. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise. * math/libm-test.inc (y0_test): New tests. (y1_test): New tests. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Update. * sysdeps/sparc/fpu/libm-test-ulps: Update.
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ChangeLog
17
ChangeLog
@ -1,3 +1,20 @@
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2012-11-18 David S. Miller <davem@davemloft.net>
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With help from Joseph Myers.
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* sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Adjust tinyness
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cutoff to 2**-13.
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* sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Adjust tinyness
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cutoff to 2**-25.
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* sysdeps/ieee754/ldbl-128/e_j0l.c (U0): New constant.
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( __ieee754_y0l): Avoid arithmetic underflow when 'x' is very
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small.
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* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise.
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* math/libm-test.inc (y0_test): New tests.
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(y1_test): New tests.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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* sysdeps/x86_64/fpu/libm-test-ulps: Update.
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* sysdeps/sparc/fpu/libm-test-ulps: Update.
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2012-11-18 Andreas Schwab <schwab@linux-m68k.org>
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* configure.in (libc_cv_ld_gnu_indirect_function): Use .quad on
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@ -10198,6 +10198,18 @@ y0_test (void)
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TEST_f_f (y0, 0x1.ff00000000002p+840L, 1.846591691699331493194965158699937660696e-127L, UNDERFLOW_EXCEPTION_OK);
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#endif
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TEST_f_f (y0, 0x1p-10L, -4.4865150767109739412411806297168793661098L);
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TEST_f_f (y0, 0x1p-20L, -8.8992283012125827603076426611387876938160L);
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TEST_f_f (y0, 0x1p-30L, -1.3311940304267782826037118027401817264906e+1L);
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TEST_f_f (y0, 0x1p-40L, -1.7724652307320814696990854700366226762563e+1L);
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TEST_f_f (y0, 0x1p-50L, -2.2137364310373846564919987139743760738155e+1L);
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TEST_f_f (y0, 0x1p-60L, -2.6550076313426878432849115782108205929120e+1L);
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TEST_f_f (y0, 0x1p-70L, -3.0962788316479910300778244424468159753887e+1L);
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TEST_f_f (y0, 0x1p-80L, -3.5375500319532942168707373066828113573541e+1L);
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TEST_f_f (y0, 0x1p-90L, -3.9788212322585974036636501709188067393195e+1L);
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TEST_f_f (y0, 0x1p-100L, -4.420092432563900590456563035154802121284e+1L);
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TEST_f_f (y0, 0x1p-110L, -4.861363632869203777249475899390797503250e+1L);
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END (y0);
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}
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@ -10241,6 +10253,18 @@ y1_test (void)
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TEST_f_f (y1, 0x1.001000001p+593L, 3.927269966354206207832593635798954916263e-90L, UNDERFLOW_EXCEPTION_OK);
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#endif
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TEST_f_f (y1, 0x1p-10L, -6.5190099301063115047395187618929589514382e+02L);
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TEST_f_f (y1, 0x1p-20L, -6.6754421443450423911167962313100637952285e+05L);
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TEST_f_f (y1, 0x1p-30L, -6.8356527557643159612937462812258975438856e+08L);
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TEST_f_f (y1, 0x1p-40L, -6.9997084219026594793707805777425993547887e+11L);
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TEST_f_f (y1, 0x1p-50L, -7.1677014240283233068755952926181262431559e+14L);
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TEST_f_f (y1, 0x1p-60L, -7.3397262582050030662406095795388448059822e+17L);
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TEST_f_f (y1, 0x1p-70L, -7.5158796884019231398303842094477769620063e+20L);
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TEST_f_f (y1, 0x1p-80L, -7.6962608009235692951863134304745236090943e+23L);
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TEST_f_f (y1, 0x1p-90L, -7.8809710601457349582707849528059121757126e+26L);
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TEST_f_f (y1, 0x1p-100L, -8.0701143655892325972692837916732540679297e+29L);
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TEST_f_f (y1, 0x1p-110L, -8.2637971103633741796037466026734121655600e+32L);
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END (y1);
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}
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@ -3015,6 +3015,28 @@ ldouble: 1
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Test "y0 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127":
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double: 1
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idouble: 1
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Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098":
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1":
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double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1":
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double: 1
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float: 1
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idouble: 1
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ifloat: 1
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Test "y0 (0x1p-60) == -2.6550076313426878432849115782108205929120e+1":
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double: 1
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idouble: 1
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Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1":
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double: 1
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idouble: 1
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Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1":
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double: 1
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idouble: 1
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Test "y0 (1.0) == 0.0882569642156769579829267660235151628":
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double: 2
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float: 1
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@ -3056,6 +3078,9 @@ idouble: 1
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ifloat: 2
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ildouble: 1
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ldouble: 1
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Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02":
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float: 1
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ifloat: 1
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Test "y1 (1.0) == -0.781212821300288716547150000047964821":
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double: 1
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idouble: 1
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@ -138,7 +138,7 @@ __ieee754_y0f(float x)
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}
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return z;
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}
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if(ix<=0x32000000) { /* x < 2**-27 */
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if(ix<=0x39800000) { /* x < 2**-13 */
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return(u00 + tpi*__ieee754_logf(x));
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}
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z = x*x;
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@ -133,7 +133,7 @@ __ieee754_y1f(float x)
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}
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return z;
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}
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if(__builtin_expect(ix<=0x24800000, 0)) { /* x < 2**-54 */
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if(__builtin_expect(ix<=0x33000000, 0)) { /* x < 2**-25 */
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return(-tpi/x);
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}
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z = x*x;
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@ -809,6 +809,7 @@ static long double Y0_2D[NY0_2D + 1] = {
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/* 1.000000000000000000000000000000000000000E0 */
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};
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static const long double U0 = -7.3804295108687225274343927948483016310862e-02L;
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/* Bessel function of the second kind, order zero. */
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@ -831,6 +832,8 @@ long double
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return -HUGE_VALL + x;
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}
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xx = fabsl (x);
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if (xx <= 0x1p-57)
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return U0 + TWOOPI * __ieee754_logl (x);
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if (xx <= 2.0L)
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{
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/* 0 <= x <= 2 */
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@ -838,6 +838,8 @@ __ieee754_y1l (long double x)
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return -HUGE_VALL + x;
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}
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xx = fabsl (x);
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if (xx <= 0x1p-114)
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return -TWOOPI / x;
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if (xx <= 2.0L)
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{
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/* 0 <= x <= 2 */
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@ -1328,8 +1328,8 @@ Test "Imaginary part of: clog10 (0xf2p-10 + 0x3e3p-10 i) == 2.692124017335111295
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double: 1
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idouble: 1
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Test "Imaginary part of: clog10 (0xfd95243681c055c2632286921092p-113 + 0x1bccabcd29ca2152860ec29e34ef7p-113 i) == 2.8774482675253468630312378575186855052697e-66 + 0.4571561610046221605554903008571429975493 i":
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ldouble: 2
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ildouble: 2
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ldouble: 2
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Test "Imaginary part of: clog10 (0xfe961079616p-45 + 0x1bc37e09e6d1p-45 i) == 2.3329549194675052736016290082882121135546e-26 + 0.4561756099441139182878993697611751382976 i":
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double: 1
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idouble: 1
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@ -2861,6 +2861,43 @@ double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098":
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double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-110) == -4.861363632869203777249475899390797503250e+1":
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double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-20) == -8.8992283012125827603076426611387876938160":
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float: 1
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ifloat: 1
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Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1":
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float: 1
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ifloat: 1
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ildouble: 2
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ldouble: 2
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Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1":
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double: 1
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float: 1
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idouble: 1
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ifloat: 1
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Test "y0 (0x1p-50) == -2.2137364310373846564919987139743760738155e+1":
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float: 1
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ifloat: 1
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Test "y0 (0x1p-60) == -2.6550076313426878432849115782108205929120e+1":
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1":
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double: 1
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idouble: 1
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Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1":
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double: 1
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float: 1
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idouble: 1
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ifloat: 1
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Test "y0 (1.0) == 0.0882569642156769579829267660235151628":
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double: 2
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float: 1
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@ -2897,6 +2934,14 @@ ldouble: 1
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Test "y1 (0x1.27e204p+99) == -8.881610148467797208469612080785210013461e-16":
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double: 1
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idouble: 1
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Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02":
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double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y1 (0x1p-30) == -6.8356527557643159612937462812258975438856e+08":
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ildouble: 1
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ldouble: 1
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Test "y1 (1.5) == -0.412308626973911295952829820633445323":
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float: 1
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ifloat: 1
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@ -2796,6 +2796,38 @@ ldouble: 1
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Test "y0 (0x1.ff00000000002p+840) == 1.846591691699331493194965158699937660696e-127":
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double: 1
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idouble: 1
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Test "y0 (0x1p-10) == -4.4865150767109739412411806297168793661098":
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double: 1
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idouble: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-110) == -4.861363632869203777249475899390797503250e+1":
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double: 1
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idouble: 1
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Test "y0 (0x1p-20) == -8.8992283012125827603076426611387876938160":
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float: 1
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ifloat: 1
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Test "y0 (0x1p-30) == -1.3311940304267782826037118027401817264906e+1":
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float: 1
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ifloat: 1
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ildouble: 1
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ldouble: 1
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Test "y0 (0x1p-40) == -1.7724652307320814696990854700366226762563e+1":
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double: 1
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float: 1
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idouble: 1
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ifloat: 1
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Test "y0 (0x1p-50) == -2.2137364310373846564919987139743760738155e+1":
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float: 1
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ifloat: 1
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Test "y0 (0x1p-70) == -3.0962788316479910300778244424468159753887e+1":
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double: 1
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idouble: 1
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Test "y0 (0x1p-80) == -3.5375500319532942168707373066828113573541e+1":
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double: 1
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float: 1
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idouble: 1
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ifloat: 1
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Test "y0 (1.0) == 0.0882569642156769579829267660235151628":
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double: 2
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float: 1
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@ -2837,6 +2869,9 @@ idouble: 1
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ifloat: 1
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ildouble: 1
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ldouble: 1
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Test "y1 (0x1p-10) == -6.5190099301063115047395187618929589514382e+02":
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double: 1
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idouble: 1
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Test "y1 (1.5) == -0.412308626973911295952829820633445323":
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float: 1
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ifloat: 1
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