5980be9b3c
This work is based in part on code from NetBSD libm, libc and kernel. The library is partly public domain and partly BSD-style licensed.
77 lines
1.8 KiB
ArmAsm
77 lines
1.8 KiB
ArmAsm
/*
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* Written by J.T. Conklin <jtc@NetBSD.org>.
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* Public domain.
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*/
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/*
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* Modified by Lex Wennmacher <wennmach@NetBSD.org>
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* Still public domain.
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*/
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#include <machine/asm.h>
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#include "abi.h"
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RCSID("$NetBSD: s_log1p.S,v 1.13 2003/09/16 18:17:11 wennmach Exp $")
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/*
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* The log1p() function is provided to compute an accurate value of
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* log(1 + x), even for tiny values of x. The i387 FPU provides the
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* fyl2xp1 instruction for this purpose. However, the range of this
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* instruction is limited to:
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* -(1 - (sqrt(2) / 2)) <= x <= sqrt(2) - 1
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* -0.292893 <= x <= 0.414214
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* at least on older processor versions.
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*
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* log1p() is implemented by testing the range of the argument.
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* If it is appropriate for fyl2xp1, this instruction is used.
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* Else, we compute log1p(x) = ln(2)*ld(1 + x) the traditional way
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* (using fyl2x).
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*
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* The range testing costs speed, but as the rationale for the very
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* existence of this function is accuracy, we accept that.
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*
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* In order to reduce the cost for testing the range, we check if
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* the argument is in the range
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* -0.25 <= x <= 0.25
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* which can be done with just one conditional branch. If x is
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* inside this range, we use fyl2xp1. Outside of this range,
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* the use of fyl2x is accurate enough.
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*
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*/
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.text
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.align 4
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ENTRY(log1p)
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XMM_ONE_ARG_DOUBLE_PROLOGUE
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fldl ARG_DOUBLE_ONE
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fabs
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fld1 /* ... x 1 */
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fadd %st(0) /* ... x 2 */
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fadd %st(0) /* ... x 4 */
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fld1 /* ... 4 1 */
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fdivp /* ... x 0.25 */
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fcompp
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fnstsw %ax
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andb $69,%ah
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jne use_fyl2x
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jmp use_fyl2xp1
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.align 4
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use_fyl2x:
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fldln2
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fldl ARG_DOUBLE_ONE
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fld1
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faddp
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fyl2x
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XMM_DOUBLE_EPILOGUE
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ret
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.align 4
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use_fyl2xp1:
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fldln2
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fldl ARG_DOUBLE_ONE
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fyl2xp1
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XMM_DOUBLE_EPILOGUE
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ret
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