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Fix testing of half-precision fma. (#1882)
Half-precision functions are generally tested against the single-precision reference. This causes double rounding: first to single precision, then from there to half precision. For the most part, it is good enough, but specifically in the case of fma, a correctly rounded result is required and is not obtained, for instance for arguments 0x1.eacp+7, 0x1.3f4p+4, 0x1.c04p+14, which produce an exact result of 0x1.065fffp+15 which should be rounded to half-prefcision 0x1.064p+15, but was previously first rounded to single-precision 0x1.066p+15, and from there to half-precision 0x1.068p+15. Testing against reference_fmal gives us sufficient precision that double rounding does not cause issues. The f_fma(..., FLUSHED) calls for FTZ testing cannot be updated the same way but do not need to be: these calls all have at least one constant operand of zero. If one operand is zero, double rounding cannot be an issue.
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@@ -369,7 +369,7 @@ static float Ulp_Error_Half_Float(float test, double reference)
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return (float)scalbn(testVal - reference, ulp_exp);
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}
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float Ulp_Error_Half(cl_half test, float reference)
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float Ulp_Error_Half(cl_half test, double reference)
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{
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return Ulp_Error_Half_Float(cl_half_to_float(test), reference);
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}
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@@ -185,7 +185,7 @@ static int vlog_win32(const char *format, ...);
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extern const char *IGetErrorString(int clErrorCode);
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extern float Ulp_Error_Half(cl_half test, float reference);
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extern float Ulp_Error_Half(cl_half test, double reference);
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extern float Ulp_Error(float test, double reference);
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extern float Ulp_Error_Double(double test, long double reference);
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