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Fixed the i87 version of exp(). It returned NaN for args +-Inf. It had
some small (one or two ULP) inaccuracies. Found by: ucbtest
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1 changed files with 42 additions and 0 deletions
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@ -39,7 +39,30 @@ RCSID("$FreeBSD$")
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/* e^x = 2^(x * log2(e)) */
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ENTRY(__ieee754_exp)
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/*
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* If x is +-Inf, then the subtraction would give Inf-Inf = NaN.
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* Avoid this. Also avoid it if x is NaN for convenience.
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*/
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movl 8(%esp),%eax
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andl $0x7fffffff,%eax
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cmpl $0x7ff00000,%eax
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jae x_Inf_or_NaN
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fldl 4(%esp)
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/*
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* Ensure that the rounding mode is to nearest (to give the smallest
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* possible fraction) and that the precision is as high as possible.
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* We may as well mask interrupts if we switch the mode.
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*/
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fstcw 4(%esp)
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movl 4(%esp),%eax
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andl $0x0300,%eax
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cmpl $0x0300,%eax /* RC == 0 && PC == 3? */
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je 1f /* jump if mode is good */
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movl $0x137f,8(%esp)
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fldcw 8(%esp)
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1:
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fldl2e
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fmulp /* x * log2(e) */
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fstl %st(1)
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@ -51,4 +74,23 @@ ENTRY(__ieee754_exp)
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstpl %st(1)
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je 1f
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fldcw 4(%esp)
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1:
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ret
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x_Inf_or_NaN:
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/*
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* Return 0 if x is -Inf. Otherwise just return x, although the
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* C version would return (x + x) (Real Indefinite) if x is a NaN.
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*/
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cmpl $0xfff00000,8(%esp)
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jne x_not_minus_Inf
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cmpl $0,4(%esp)
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jne x_not_minus_Inf
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fldz
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ret
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x_not_minus_Inf:
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fldl 4(%esp)
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ret
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