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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72" style='tab-interval:.5in;word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'>Sorry for the kind of duplicate post, I submitted it yesterday morning and I thought it failed, so I re-did it and tried again.. then after that the original one showed up.<span style='mso-spacerun:yes'> </span><o:p></o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'>A thought occurred to me.<span style='mso-spacerun:yes'> </span>Since the complier math is expecting all the constants would be in full precision, then the compiler math doesn’t need to change, it’s just that the reduction in precision is just happening too soon.<span style='mso-spacerun:yes'> </span>It’s evaluating and reducing each term of an expression, then the math is happening, and the answer is not coming out right.<o:p></o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'>If instead everything was left full precision until after the compiler math (because this is what the compiler math expects), and then the final answer was reduced in precision where possible, then it would work flawlessly.<span style='mso-spacerun:yes'> </span>So the reduction in precision function only needs to run once on the final answer, not on every term before the calculation. <o:p></o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'>Sorry again for the duplicate.<span style='mso-spacerun:yes'> </span><o:p></o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'><o:p> </o:p></span></p><p class=MsoNormal><span style='mso-ascii-font-family:Calibri;mso-fareast-font-family:Calibri;mso-hansi-font-family:Calibri;mso-bidi-font-family:"Times New Roman"'>James<o:p></o:p></span></p></div></body></html>