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authorChris Robinson <[email protected]>2018-12-15 20:28:52 -0800
committerChris Robinson <[email protected]>2018-12-15 20:28:52 -0800
commita6a5634adb1bdec44fa7cb8557e5b6d59642d7aa (patch)
treefc68e681fd6da605f3cb43847f15ad0ac9019dfa /Alc/alcontext.h
parentdea077cbae1f180a5c7ee77517ea73901f59aff2 (diff)
Reorder some math terms to help optimizations
Because floating-point math is not associative ((a*b)*c does not necessarily give the same result as a*(b*c)), the ordering of terms can inhibit reuse of temporary values. For example, both coeffs[9] = 2.091650066f * y * (3.0f*x*x - y*y); and coeffs[15] = 2.091650066f * x * (x*x - 3.0f*y*y); contain x*x and y*y terms that could be calculated once, stored in temporary registers, and reused to multiply with 3. But since 3.0f*(x*x) would produce different results, the compiler is not allowed to make that optimization. If, however, the multiply with 3 is moved to the right side: coeffs[9] = 2.091650066f * y * (x*x*3.0f - y*y); and coeffs[15] = 2.091650066f * x * (x*x - y*y*3.0f); in both cases x*x and y*y are calculated first in their respective groups, guaranteeing the same results for both instances prior to the multiply with 3 and allowing the compiler to reuse those intermediate values.
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