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math: fix asin, atan, log1p, tanh to raise underflow on subnormal
for these functions f(x)=x for small inputs, because f(0)=0 and f'(0)=1, but for subnormal values they should raise the underflow flag (required by annex F), if they are approximated by a polynomial around 0 then spurious underflow should be avoided (not required by annex F) all these functions should raise inexact flag for small x if x!=0, but it's not required by the standard and it does not seem a worthy goal, so support for it is removed in some cases. raising underflow: - x*x may not raise underflow for subnormal x if FLT_EVAL_METHOD!=0 - x*x may raise spurious underflow for normal x if FLT_EVAL_METHOD==0 - in case of double subnormal x, store x as float - in case of float subnormal x, store x*x as float
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@ -55,8 +55,9 @@ float atanf(float x)
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}
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if (ix < 0x3ee00000) { /* |x| < 0.4375 */
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if (ix < 0x39800000) { /* |x| < 2**-12 */
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/* raise inexact if x!=0 */
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FORCE_EVAL(x + 0x1p120f);
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if (ix < 0x00800000)
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/* raise underflow for subnormal x */
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FORCE_EVAL(x*x);
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return x;
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}
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id = -1;
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