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Fix ctan, ctanh overflow for ldbl-128ibm (bug 11521).
This commit is contained in:
Adhemerval Zanella
committed by
Ryan S. Arnold
Ryan S. Arnold
parent
33f244f40b
commit
0ac229c819
10
ChangeLog
10
ChangeLog
@@ -1,3 +1,13 @@
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2012-04-26 Adhemerval Zanella <azanella@linux.vnet.ibm.com>
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[BZ #11521]
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* sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c (__ctanhl): Avoid internal
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overflow or cancellation in calculating denominator.
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* sysdeps/ieee754/ldbl-128ibm/s_ctanl.c (__ctanl): Likewise.
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* sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Breaking
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down expression to avoid unexpected rounding in newer GCCs.
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* sysdeps/powerpc/fpu/libm-test-ulps: Update for ctan, ctanh fix.
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2012-04-26 David S. Miller <davem@davemloft.net>
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* sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_ceil.S: Generate
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@@ -54,7 +54,8 @@ __ieee754_sinhl(long double x)
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if(shuge+x>one) return x;/* sinhl(tiny) = tiny with inexact */
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t = __expm1l(fabsl(x));
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if(ix<0x3ff0000000000000LL) return h*(2.0*t-t*t/(t+one));
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return h*(t+t/(t+one));
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w = t/(t+one);
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return h*(t+w);
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}
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/* |x| in [40, log(maxdouble)] return 0.5*exp(|x|) */
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@@ -1,5 +1,5 @@
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/* Complex hyperbole tangent for long double. IBM extended format version.
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Copyright (C) 1997,2005,2006 Free Software Foundation, Inc.
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Copyright (C) 1997-2012 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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@@ -19,6 +19,7 @@
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#include <complex.h>
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#include <fenv.h>
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#include <float.h>
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#include <math.h>
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#include <math_ldbl_opt.h>
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@@ -54,24 +55,44 @@ __ctanhl (__complex__ long double x)
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}
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else
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{
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long double sin2ix, cos2ix;
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long double sinix, cosix;
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long double den;
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
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__sincosl (2.0 * __imag__ x, &sin2ix, &cos2ix);
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/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
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= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
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den = (__ieee754_coshl (2.0 * __real__ x) + cos2ix);
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__sincosl (__imag__ x, &sinix, &cosix);
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if (den == 0.0L)
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if (fabsl (__real__ x) > t)
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{
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__complex__ long double ez = __cexpl (x);
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__complex__ long double emz = __cexpl (-x);
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res = (ez - emz) / (ez + emz);
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/* Avoid intermediate overflow when the imaginary part of
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the result may be subnormal. Ignoring negligible terms,
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the real part is +/- 1, the imaginary part is
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sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
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long double exp_2t = __ieee754_expl (2 * t);
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__real__ res = __copysignl (1.0, __real__ x);
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__imag__ res = 4 * sinix * cosix;
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__real__ x = fabsl (__real__ x);
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__real__ x -= t;
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__imag__ res /= exp_2t;
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if (__real__ x > t)
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{
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/* Underflow (original real part of x has absolute value
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> 2t). */
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__imag__ res /= exp_2t;
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}
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else
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__imag__ res /= __ieee754_expl (2 * __real__ x);
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}
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else
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{
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__real__ res = __ieee754_sinhl (2.0 * __real__ x) / den;
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__imag__ res = sin2ix / den;
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long double sinhrx = __ieee754_sinhl (__real__ x);
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long double coshrx = __ieee754_coshl (__real__ x);
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den = sinhrx * sinhrx + cosix * cosix;
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__real__ res = sinhrx * coshrx / den;
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__imag__ res = sinix * cosix / den;
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}
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/* __gcc_qmul does not respect -0.0 so we need the following fixup. */
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if ((__real__ res == 0.0) && (__real__ x == 0.0))
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@@ -1,5 +1,5 @@
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/* Complex tangent function for long double. IBM extended format version.
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Copyright (C) 1997,2005,2006 Free Software Foundation, Inc.
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Copyright (C) 1997-2012 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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@@ -21,6 +21,7 @@
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#include <fenv.h>
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#include <math.h>
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#include <math_ldbl_opt.h>
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#include <float.h>
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#include <math_private.h>
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@@ -46,34 +47,53 @@ __ctanl (__complex__ long double x)
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__real__ res = __nanl ("");
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__imag__ res = __nanl ("");
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#ifdef FE_INVALID
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if (__isinfl (__real__ x))
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if (__isinf_nsl (__real__ x))
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feraiseexcept (FE_INVALID);
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#endif
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}
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}
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else
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{
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long double sin2rx, cos2rx;
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long double sinrx, cosrx;
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long double den;
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
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__sincosl (2.0 * __real__ x, &sin2rx, &cos2rx);
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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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den = cos2rx + __ieee754_coshl (2.0 * __imag__ x);
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__sincosl (__real__ x, &sinrx, &cosrx);
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if (den == 0.0)
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if (fabsl (__imag__ x) > t)
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{
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__complex__ long double ez = __cexpl (1.0i * x);
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__complex__ long double emz = __cexpl (-1.0i * x);
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/* Avoid intermediate overflow when the real part of the
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result may be subnormal. Ignoring negligible terms, the
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imaginary part is +/- 1, the real part is
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sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
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long double exp_2t = __ieee754_expl (2 * t);
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res = (ez - emz) / (ez + emz) * -1.0i;
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__imag__ res = __copysignl (1.0, __imag__ x);
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__real__ res = 4 * sinrx * cosrx;
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__imag__ x = fabsl (__imag__ x);
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__imag__ x -= t;
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__real__ res /= exp_2t;
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if (__imag__ x > t)
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{
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/* Underflow (original imaginary part of x has absolute
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value > 2t). */
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__real__ res /= exp_2t;
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}
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else
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__real__ res /= __ieee754_expl (2 * __imag__ x);
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}
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else
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{
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__real__ res = sin2rx / den;
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__imag__ res = __ieee754_sinhl (2.0 * __imag__ x) / den;
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long double sinhix = __ieee754_sinhl (__imag__ x);
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long double coshix = __ieee754_coshl (__imag__ x);
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den = cosrx * cosrx + sinhix * sinhix;
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__real__ res = sinrx * cosrx / den;
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__imag__ res = sinhix * coshix / den;
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}
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/* __gcc_qmul does not respect -0.0 so we need the following fixup. */
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if ((__real__ res == 0.0) && (__real__ x == 0.0))
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__real__ res = __real__ x;
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@@ -1051,16 +1051,44 @@ ifloat: 2
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# ctan
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Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i":
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float: 1
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ifloat: 1
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double: 1
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idouble: 1
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ldouble: 1
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ildouble: 1
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Test "Real part of: ctan (1 + 47 i) == 2.729321264492904590777293425576722354636e-41 + 1.0 i":
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ldouble: 2
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ildouble: 2
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Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i":
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ildouble: 1
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ldouble: 1
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Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i":
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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 "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i":
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float: 1
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ifloat: 1
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Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i":
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float: 1
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ifloat: 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 "Real part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
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double: 1
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idouble: 1
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Test "Real part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
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float: 1
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ifloat: 1
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Test "Imaginary part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
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float: 1
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ifloat: 1
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double: 1
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idouble: 1
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Test "Real part of: ctan (0x3.243f6cp-1 + 0 i) == -2.287733242885645987394874673945769518150e7 + 0.0 i":
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float: 1
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ifloat: 1
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# ctanh
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Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
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@@ -1068,14 +1096,43 @@ double: 1
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float: 2
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idouble: 1
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ifloat: 2
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Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
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double: 1
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idouble: 1
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Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
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float: 1
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ifloat: 1
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double: 1
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idouble: 1
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Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i":
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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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ldouble: 3
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ildouble: 3
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Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i":
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float: 1
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ifloat: 1
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ldouble: 2
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ildouble: 2
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Test "Imaginary part of: ctanh (47 + 1 i) == 1.0 + 2.729321264492904590777293425576722354636e-41 i":
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ldouble: 2
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ildouble: 2
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Test "Imaginary part of: ctanh (0 + 0x3.243f6cp-1 i) == 0.0 - 2.287733242885645987394874673945769518150e7 i":
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float: 1
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ifloat: 1
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Test "Imaginary part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
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double: 1
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idouble: 1
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Test "Real part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
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float: 1
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ifloat: 1
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double: 1
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idouble: 1
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Test "Imaginary part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
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float: 1
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ifloat: 1
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double: 1
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# erf
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Test "erf (1.25) == 0.922900128256458230136523481197281140":
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@@ -2309,12 +2366,16 @@ ildouble: 1
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ldouble: 1
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Function: Real part of "ctan":
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float: 1
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ifloat: 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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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "ctan":
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float: 1
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ifloat: 1
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double: 1
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idouble: 1
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ildouble: 1
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@@ -2325,14 +2386,16 @@ double: 1
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float: 2
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idouble: 1
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ifloat: 2
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ildouble: 1
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ldouble: 1
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ildouble: 3
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ldouble: 3
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Function: Imaginary part of "ctanh":
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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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double: 1
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idouble: 1
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ildouble: 2
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ldouble: 2
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Function: "erf":
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double: 1
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