diff options
Diffstat (limited to 'sysdeps')
-rw-r--r-- | sysdeps/i386/fpu/e_exp10l.S | 41 | ||||
-rw-r--r-- | sysdeps/i386/fpu/e_expl.S | 37 | ||||
-rw-r--r-- | sysdeps/ieee754/dbl-64/e_exp10.c | 48 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-128/e_exp10l.c | 47 | ||||
-rw-r--r-- | sysdeps/ieee754/ldbl-128ibm/e_exp10l.c | 46 | ||||
-rw-r--r-- | sysdeps/x86_64/fpu/e_exp10l.S | 2 | ||||
-rw-r--r-- | sysdeps/x86_64/fpu/e_expl.S | 37 | ||||
-rw-r--r-- | sysdeps/x86_64/fpu/libm-test-ulps | 9 |
8 files changed, 212 insertions, 55 deletions
diff --git a/sysdeps/i386/fpu/e_exp10l.S b/sysdeps/i386/fpu/e_exp10l.S index 04ec8001d9..d843e2b5e8 100644 --- a/sysdeps/i386/fpu/e_exp10l.S +++ b/sysdeps/i386/fpu/e_exp10l.S @@ -1,39 +1,2 @@ -/* - * Written by Ulrich Drepper <drepper@cygnus.com>. - */ - -#include <machine/asm.h> - -/* 10^x = 2^(x * log2l(10)) */ -ENTRY(__ieee754_exp10l) - fldt 4(%esp) -/* I added the following ugly construct because expl(+-Inf) resulted - in NaN. The ugliness results from the bright minds at Intel. - For the i686 the code can be written better. - -- drepper@cygnus.com. */ - fxam /* Is NaN or +-Inf? */ - fstsw %ax - movb $0x45, %dh - andb %ah, %dh - cmpb $0x05, %dh - je 1f /* Is +-Inf, jump. */ - fldl2t - fmulp /* x * log2(10) */ - fld %st - frndint /* int(x * log2(10)) */ - fsubr %st,%st(1) /* fract(x * log2(10)) */ - fxch - f2xm1 /* 2^(fract(x * log2(10))) - 1 */ - fld1 - faddp /* 2^(fract(x * log2(10))) */ - fscale /* e^x */ - fstp %st(1) - ret - -1: testl $0x200, %eax /* Test sign. */ - jz 2f /* If positive, jump. */ - fstp %st - fldz /* Set result to 0. */ -2: ret -END (__ieee754_exp10l) -strong_alias (__ieee754_exp10l, __exp10l_finite) +#define USE_AS_EXP10L +#include <e_expl.S> diff --git a/sysdeps/i386/fpu/e_expl.S b/sysdeps/i386/fpu/e_expl.S index 45c4d07539..9adf2a489e 100644 --- a/sysdeps/i386/fpu/e_expl.S +++ b/sysdeps/i386/fpu/e_expl.S @@ -24,9 +24,29 @@ #include <machine/asm.h> +#ifdef USE_AS_EXP10L +# define IEEE754_EXPL __ieee754_exp10l +# define EXPL_FINITE __exp10l_finite +# define FLDLOG fldl2t +#else +# define IEEE754_EXPL __ieee754_expl +# define EXPL_FINITE __expl_finite +# define FLDLOG fldl2e +#endif + .section .rodata.cst16,"aM",@progbits,16 .p2align 4 +#ifdef USE_AS_EXP10L + ASM_TYPE_DIRECTIVE(c0,@object) +c0: .byte 0, 0, 0, 0, 0, 0, 0x9a, 0xd4, 0x00, 0x40 + .byte 0, 0, 0, 0, 0, 0 + ASM_SIZE_DIRECTIVE(c0) + ASM_TYPE_DIRECTIVE(c1,@object) +c1: .byte 0x58, 0x92, 0xfc, 0x15, 0x37, 0x9a, 0x97, 0xf0, 0xef, 0x3f + .byte 0, 0, 0, 0, 0, 0 + ASM_SIZE_DIRECTIVE(c1) +#else ASM_TYPE_DIRECTIVE(c0,@object) c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f .byte 0, 0, 0, 0, 0, 0 @@ -35,6 +55,7 @@ c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f c1: .byte 0x20, 0xfa, 0xee, 0xc2, 0x5f, 0x70, 0xa5, 0xec, 0xed, 0x3f .byte 0, 0, 0, 0, 0, 0 ASM_SIZE_DIRECTIVE(c1) +#endif ASM_TYPE_DIRECTIVE(csat,@object) csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40 .byte 0, 0, 0, 0, 0, 0 @@ -47,7 +68,7 @@ csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40 #endif .text -ENTRY(__ieee754_expl) +ENTRY(IEEE754_EXPL) fldt 4(%esp) /* I added the following ugly construct because expl(+-Inf) resulted in NaN. The ugliness results from the bright minds at Intel. @@ -75,8 +96,8 @@ ENTRY(__ieee754_expl) andb $2, %ah jz 3f fchs -3: fldl2e /* 1 log2(e) */ - fmul %st(1), %st /* 1 x log2(e) */ +3: FLDLOG /* 1 log2(base) */ + fmul %st(1), %st /* 1 x log2(base) */ frndint /* 1 i */ fld %st(1) /* 2 x */ frndint /* 2 xi */ @@ -92,11 +113,11 @@ ENTRY(__ieee754_expl) fldt MO(c1) /* 4 */ fmul %st(4), %st /* 4 c1 * x */ faddp %st, %st(1) /* 3 f = f + c1 * x */ - f2xm1 /* 3 2^(fract(x * log2(e))) - 1 */ + f2xm1 /* 3 2^(fract(x * log2(base))) - 1 */ fld1 /* 4 1.0 */ - faddp /* 3 2^(fract(x * log2(e))) */ + faddp /* 3 2^(fract(x * log2(base))) */ fstp %st(1) /* 2 */ - fscale /* 2 scale factor is st(1); e^x */ + fscale /* 2 scale factor is st(1); base^x */ fstp %st(1) /* 1 */ fstp %st(1) /* 0 */ jmp 2f @@ -105,5 +126,5 @@ ENTRY(__ieee754_expl) fstp %st fldz /* Set result to 0. */ 2: ret -END(__ieee754_expl) -strong_alias (__ieee754_expl, __expl_finite) +END(IEEE754_EXPL) +strong_alias (IEEE754_EXPL, EXPL_FINITE) diff --git a/sysdeps/ieee754/dbl-64/e_exp10.c b/sysdeps/ieee754/dbl-64/e_exp10.c new file mode 100644 index 0000000000..eeb63a6986 --- /dev/null +++ b/sysdeps/ieee754/dbl-64/e_exp10.c @@ -0,0 +1,48 @@ +/* Copyright (C) 2012 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/>. */ + +#include <math.h> +#include <math_private.h> +#include <float.h> + +static const double log10_high = 0x2.4d7637p0; +static const double log10_low = 0x7.6aaa2b05ba95cp-28; + +double +__ieee754_exp10 (double arg) +{ + int32_t lx; + double arg_high, arg_low; + double exp_high, exp_low; + + if (!__finite (arg)) + return __ieee754_exp (arg); + if (arg < DBL_MIN_10_EXP - DBL_DIG - 10) + return DBL_MIN * DBL_MIN; + else if (arg > DBL_MAX_10_EXP + 1) + return DBL_MAX * DBL_MAX; + + GET_LOW_WORD (lx, arg); + lx &= 0xf8000000; + arg_high = arg; + SET_LOW_WORD (arg_high, lx); + arg_low = arg - arg_high; + exp_high = arg_high * log10_high; + exp_low = arg_high * log10_low + arg_low * M_LN10; + return __ieee754_exp (exp_high) * __ieee754_exp (exp_low); +} +strong_alias (__ieee754_exp10, __exp10_finite) diff --git a/sysdeps/ieee754/ldbl-128/e_exp10l.c b/sysdeps/ieee754/ldbl-128/e_exp10l.c new file mode 100644 index 0000000000..503c1de3e8 --- /dev/null +++ b/sysdeps/ieee754/ldbl-128/e_exp10l.c @@ -0,0 +1,47 @@ +/* Copyright (C) 2012 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/>. */ + +#include <math.h> +#include <math_private.h> +#include <float.h> + +static const long double log10_high = 0x2.4d763776aaa2bp0L; +static const long double log10_low = 0x5.ba95b58ae0b4c28a38a3fb3e7698p-60L; + +long double +__ieee754_exp10l (long double arg) +{ + ieee854_long_double_shape_type u; + long double arg_high, arg_low; + long double exp_high, exp_low; + + if (!__finitel (arg)) + return __ieee754_expl (arg); + if (arg < LDBL_MIN_10_EXP - LDBL_DIG - 10) + return LDBL_MIN * LDBL_MIN; + else if (arg > LDBL_MAX_10_EXP + 1) + return LDBL_MAX * LDBL_MAX; + + u.value = arg; + u.parts64.lsw &= 0xfe00000000000000LL; + arg_high = u.value; + arg_low = arg - arg_high; + exp_high = arg_high * log10_high; + exp_low = arg_high * log10_low + arg_low * M_LN10l; + return __ieee754_expl (exp_high) * __ieee754_expl (exp_low); +} +strong_alias (__ieee754_exp10l, __exp10l_finite) diff --git a/sysdeps/ieee754/ldbl-128ibm/e_exp10l.c b/sysdeps/ieee754/ldbl-128ibm/e_exp10l.c new file mode 100644 index 0000000000..b19e6c7f0c --- /dev/null +++ b/sysdeps/ieee754/ldbl-128ibm/e_exp10l.c @@ -0,0 +1,46 @@ +/* Copyright (C) 2012 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/>. */ + +#include <math.h> +#include <math_private.h> +#include <float.h> + +static const long double log10_high = 0x2.4d763776aaa2cp0L; +static const long double log10_low = -0xf.a456a4a751f4b3d75c75c04c18p-56L; + +long double +__ieee754_exp10l (long double arg) +{ + union ibm_extended_long_double u; + long double arg_high, arg_low; + long double exp_high, exp_low; + + if (!__finitel (arg)) + return __ieee754_expl (arg); + if (arg < LDBL_MIN_10_EXP - LDBL_DIG - 10) + return LDBL_MIN * LDBL_MIN; + else if (arg > LDBL_MAX_10_EXP + 1) + return LDBL_MAX * LDBL_MAX; + + u.d = arg; + arg_high = u.dd[0]; + arg_low = u.dd[1]; + exp_high = arg_high * log10_high; + exp_low = arg_high * log10_low + arg_low * M_LN10l; + return __ieee754_expl (exp_high) * __ieee754_expl (exp_low); +} +strong_alias (__ieee754_exp10l, __exp10l_finite) diff --git a/sysdeps/x86_64/fpu/e_exp10l.S b/sysdeps/x86_64/fpu/e_exp10l.S new file mode 100644 index 0000000000..d843e2b5e8 --- /dev/null +++ b/sysdeps/x86_64/fpu/e_exp10l.S @@ -0,0 +1,2 @@ +#define USE_AS_EXP10L +#include <e_expl.S> diff --git a/sysdeps/x86_64/fpu/e_expl.S b/sysdeps/x86_64/fpu/e_expl.S index d497b28973..fd613f91d3 100644 --- a/sysdeps/x86_64/fpu/e_expl.S +++ b/sysdeps/x86_64/fpu/e_expl.S @@ -24,9 +24,29 @@ #include <machine/asm.h> +#ifdef USE_AS_EXP10L +# define IEEE754_EXPL __ieee754_exp10l +# define EXPL_FINITE __exp10l_finite +# define FLDLOG fldl2t +#else +# define IEEE754_EXPL __ieee754_expl +# define EXPL_FINITE __expl_finite +# define FLDLOG fldl2e +#endif + .section .rodata.cst16,"aM",@progbits,16 .p2align 4 +#ifdef USE_AS_EXP10L + ASM_TYPE_DIRECTIVE(c0,@object) +c0: .byte 0, 0, 0, 0, 0, 0, 0x9a, 0xd4, 0x00, 0x40 + .byte 0, 0, 0, 0, 0, 0 + ASM_SIZE_DIRECTIVE(c0) + ASM_TYPE_DIRECTIVE(c1,@object) +c1: .byte 0x58, 0x92, 0xfc, 0x15, 0x37, 0x9a, 0x97, 0xf0, 0xef, 0x3f + .byte 0, 0, 0, 0, 0, 0 + ASM_SIZE_DIRECTIVE(c1) +#else ASM_TYPE_DIRECTIVE(c0,@object) c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f .byte 0, 0, 0, 0, 0, 0 @@ -35,6 +55,7 @@ c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f c1: .byte 0x20, 0xfa, 0xee, 0xc2, 0x5f, 0x70, 0xa5, 0xec, 0xed, 0x3f .byte 0, 0, 0, 0, 0, 0 ASM_SIZE_DIRECTIVE(c1) +#endif ASM_TYPE_DIRECTIVE(csat,@object) csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40 .byte 0, 0, 0, 0, 0, 0 @@ -47,7 +68,7 @@ csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40 #endif .text -ENTRY(__ieee754_expl) +ENTRY(IEEE754_EXPL) fldt 8(%rsp) /* I added the following ugly construct because expl(+-Inf) resulted in NaN. The ugliness results from the bright minds at Intel. @@ -72,8 +93,8 @@ ENTRY(__ieee754_expl) andb $2, %ah jz 3f fchs -3: fldl2e /* 1 log2(e) */ - fmul %st(1), %st /* 1 x log2(e) */ +3: FLDLOG /* 1 log2(base) */ + fmul %st(1), %st /* 1 x log2(base) */ frndint /* 1 i */ fld %st(1) /* 2 x */ frndint /* 2 xi */ @@ -89,11 +110,11 @@ ENTRY(__ieee754_expl) fldt MO(c1) /* 4 */ fmul %st(4), %st /* 4 c1 * x */ faddp %st, %st(1) /* 3 f = f + c1 * x */ - f2xm1 /* 3 2^(fract(x * log2(e))) - 1 */ + f2xm1 /* 3 2^(fract(x * log2(base))) - 1 */ fld1 /* 4 1.0 */ - faddp /* 3 2^(fract(x * log2(e))) */ + faddp /* 3 2^(fract(x * log2(base))) */ fstp %st(1) /* 2 */ - fscale /* 2 scale factor is st(1); e^x */ + fscale /* 2 scale factor is st(1); base^x */ fstp %st(1) /* 1 */ fstp %st(1) /* 0 */ jmp 2f @@ -102,5 +123,5 @@ ENTRY(__ieee754_expl) fstp %st fldz /* Set result to 0. */ 2: ret -END(__ieee754_expl) -strong_alias (__ieee754_expl, __expl_finite) +END(IEEE754_EXPL) +strong_alias (IEEE754_EXPL, EXPL_FINITE) diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 70b091f547..f33c07f326 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -1287,6 +1287,12 @@ idouble: 2 ifloat: 1 ildouble: 1 ldouble: 1 +Test "exp10 (-305) == 1.0e-305": +double: 1 +idouble: 1 +Test "exp10 (-36) == 1.0e-36": +double: 1 +idouble: 1 Test "exp10 (0.75) == 5.62341325190349080394951039776481231": double: 1 float: 1 @@ -1301,6 +1307,9 @@ idouble: 6 ifloat: 2 ildouble: 8 ldouble: 8 +Test "exp10 (36) == 1.0e36": +double: 1 +idouble: 1 # exp_downward Test "exp_downward (1) == e": |