Francisco Jerez <curroje...@riseup.net> writes: > Jason Ekstrand <ja...@jlekstrand.net> writes: > >> On Mar 23, 2016 2:07 AM, "Francisco Jerez" <curroje...@riseup.net> wrote: >>> >>> Jason Ekstrand <ja...@jlekstrand.net> writes: >>> >>> > Many of our optimizations, while great for cutting shaders down to size, >>> > aren't really precision-safe. This commit tries to flag all of the >>> > inexact floating-point optimizations so they don't get run on values >> that >>> > are flagged "exact". It's a bit conservative and maybe flags some safe >>> > optimizations as unsafe but that's better than missing one. >>> > --- >>> > src/compiler/nir/nir_opt_algebraic.py | 156 >> +++++++++++++++++----------------- >>> > 1 file changed, 78 insertions(+), 78 deletions(-) >>> > >>> > diff --git a/src/compiler/nir/nir_opt_algebraic.py >> b/src/compiler/nir/nir_opt_algebraic.py >>> > index 3e7ea06..b229f03 100644 >>> > --- a/src/compiler/nir/nir_opt_algebraic.py >>> > +++ b/src/compiler/nir/nir_opt_algebraic.py >>> > @@ -61,19 +61,19 @@ optimizations = [ >>> > (('fabs', ('fneg', a)), ('fabs', a)), >>> > (('iabs', ('iabs', a)), ('iabs', a)), >>> > (('iabs', ('ineg', a)), ('iabs', a)), >>> > - (('fadd', a, 0.0), a), >>> > + (('~fadd', a, 0.0), a), >>> > (('iadd', a, 0), a), >>> > (('usadd_4x8', a, 0), a), >>> > (('usadd_4x8', a, ~0), ~0), >>> > - (('fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, >> c))), >>> > + (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, >> c))), >>> > (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, >> c))), >>> > - (('fadd', ('fneg', a), a), 0.0), >>> > + (('~fadd', ('fneg', a), a), 0.0), >>> > (('iadd', ('ineg', a), a), 0), >>> > (('iadd', ('ineg', a), ('iadd', a, b)), b), >>> > (('iadd', a, ('iadd', ('ineg', a), b)), b), >>> > - (('fadd', ('fneg', a), ('fadd', a, b)), b), >>> > - (('fadd', a, ('fadd', ('fneg', a), b)), b), >>> > - (('fmul', a, 0.0), 0.0), >>> > + (('~fadd', ('fneg', a), ('fadd', a, b)), b), >>> > + (('~fadd', a, ('fadd', ('fneg', a), b)), b), >>> > + (('~fmul', a, 0.0), 0.0), >>> > (('imul', a, 0), 0), >>> > (('umul_unorm_4x8', a, 0), 0), >>> > (('umul_unorm_4x8', a, ~0), a), >>> > @@ -81,33 +81,33 @@ optimizations = [ >>> > (('imul', a, 1), a), >>> > (('fmul', a, -1.0), ('fneg', a)), >>> > (('imul', a, -1), ('ineg', a)), >>> > - (('ffma', 0.0, a, b), b), >>> > - (('ffma', a, 0.0, b), b), >>> > - (('ffma', a, b, 0.0), ('fmul', a, b)), >>> > - (('ffma', a, 1.0, b), ('fadd', a, b)), >>> > - (('ffma', 1.0, a, b), ('fadd', a, b)), >>> >>> I think 'ffma a 1 b'/'ffma 1 a b' -> 'fadd a b' could be made safe. >> >> I think that should be OK. >> >>> > - (('flrp', a, b, 0.0), a), >>> > - (('flrp', a, b, 1.0), b), >>> > - (('flrp', a, a, b), a), >>> > - (('flrp', 0.0, a, b), ('fmul', a, b)), >>> > + (('~ffma', 0.0, a, b), b), >>> > + (('~ffma', a, 0.0, b), b), >>> > + (('~ffma', a, b, 0.0), ('fmul', a, b)), >>> > + (('~ffma', a, 1.0, b), ('fadd', a, b)), >>> > + (('~ffma', 1.0, a, b), ('fadd', a, b)), >>> > + (('~flrp', a, b, 0.0), a), >>> > + (('~flrp', a, b, 1.0), b), >>> > + (('~flrp', a, a, b), a), >>> > + (('~flrp', 0.0, a, b), ('fmul', a, b)), >>> > (('flrp', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), >> 'options->lower_flrp'), >>> > (('ffract', a), ('fsub', a, ('ffloor', a)), >> 'options->lower_ffract'), >>> > - (('fadd', ('fmul', a, ('fadd', 1.0, ('fneg', c))), ('fmul', b, c)), >> ('flrp', a, b, c), '!options->lower_flrp'), >>> > - (('fadd', a, ('fmul', c, ('fadd', b, ('fneg', a)))), ('flrp', a, b, >> c), '!options->lower_flrp'), >>> > + (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', c))), ('fmul', b, >> c)), ('flrp', a, b, c), '!options->lower_flrp'), >>> > + (('~fadd', a, ('fmul', c, ('fadd', b, ('fneg', a)))), ('flrp', a, >> b, c), '!options->lower_flrp'), >>> > (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), >> 'options->lower_ffma'), >>> > - (('fadd', ('fmul', a, b), c), ('ffma', a, b, c), >> '!options->lower_ffma'), >>> > + (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), >> '!options->lower_ffma'), >>> > # Comparison simplifications >>> > - (('inot', ('flt', a, b)), ('fge', a, b)), >>> > - (('inot', ('fge', a, b)), ('flt', a, b)), >>> > - (('inot', ('feq', a, b)), ('fne', a, b)), >>> > - (('inot', ('fne', a, b)), ('feq', a, b)), >>> > - (('inot', ('ilt', a, b)), ('ige', a, b)), >>> > - (('inot', ('ige', a, b)), ('ilt', a, b)), >>> > - (('inot', ('ieq', a, b)), ('ine', a, b)), >>> > - (('inot', ('ine', a, b)), ('ieq', a, b)), >>> >>> What's unsafe about the four integer comparison simplifications above? >> >> Right. I got too excited. I'll leave those as safe. >> >>> > - (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)), >>> >>> This one seems mostly safe too. >>> >>> > - (('bcsel', ('flt', a, b), a, b), ('fmin', a, b)), >>> > - (('bcsel', ('flt', a, b), b, a), ('fmax', a, b)), >>> >>> What are the semantics of fmin/fmax? Are they defined as in GLSL with >>> min(NaN, x) = NaN, min(x, NaN) = x? Or the other way around? Or is it >>> defined to be commutative? In the first case the code above would >>> indeed be unsafe *but* the related simplification: >> >> I dug up the GLSL spec and it says the following for min: >> >> Returns y if y < x, otherwise it returns x >> >> so min(NaN, y) = y but min(x, NaN) = NaN >> >> If we just change the optimizations to match the spec better, they would be >> safe. Then we could add the non-safe ones as non-safe. >> > They wouldn't, you still need the two-character change I pointed out > earlier (marked with '^^^^^' now) to make it safe. > Er, disregard the sentence above, I had misread your previous comment, I realize you had already noticed the change, sorry ;)
>> Sadly, I think our hardware implements the DX behaviour of "give me the >> non-NaN value" >> > Our hardware can do either, CMPN and SEL.l/ge gives you the non-NaN > value while CMP and SEL.le/g gives you GLSL-like semantics. The > back-end uses the wrong ones almost universally since > 3b7f683f3bbbd93e417a6f42ec7c609465be49de except on Gen4-5 which use CMP. > > vvvv >>> | (('bcsel', ('flt', a, b), a, b), ('fmin', b, a)), > ^^^^^ >>> | (('bcsel', ('flt', a, b), b, a), ('fmax', a, b)), >>> >>> would be completely safe. >>> >>> > + (('~inot', ('flt', a, b)), ('fge', a, b)), >>> > + (('~inot', ('fge', a, b)), ('flt', a, b)), >>> > + (('~inot', ('feq', a, b)), ('fne', a, b)), >>> > + (('~inot', ('fne', a, b)), ('feq', a, b)), >>> > + (('~inot', ('ilt', a, b)), ('ige', a, b)), >>> > + (('~inot', ('ige', a, b)), ('ilt', a, b)), >>> > + (('~inot', ('ieq', a, b)), ('ine', a, b)), >>> > + (('~inot', ('ine', a, b)), ('ieq', a, b)), >>> > + (('~fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)), >>> > + (('~bcsel', ('flt', a, b), a, b), ('fmin', a, b)), >>> > + (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)), >>> > (('bcsel', ('inot', 'a@bool'), b, c), ('bcsel', a, c, b)), >>> > (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)), >>> > (('fmin', a, a), a), >>> > @@ -116,17 +116,17 @@ optimizations = [ >>> > (('imax', a, a), a), >>> > (('umin', a, a), a), >>> > (('umax', a, a), a), >>> > - (('fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), >> '!options->lower_fsat'), >>> > - (('fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), >> '!options->lower_fsat'), >>> > + (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), >> '!options->lower_fsat'), >>> > + (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), >> '!options->lower_fsat'), >>> > (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), >> 'options->lower_fsat'), >>> > (('fsat', ('fsat', a)), ('fsat', a)), >>> > - (('fsat', ('fmin', a, 1.0)), ('fsat', a)), >>> > - (('fsat', ('fmax', a, 0.0)), ('fsat', a)), >>> > + (('~fsat', ('fmin', a, 1.0)), ('fsat', a)), >>> > + (('~fsat', ('fmax', a, 0.0)), ('fsat', a)), >>> > (('fmin', ('fmax', ('fmin', ('fmax', a, 0.0), 1.0), 0.0), 1.0), >> ('fmin', ('fmax', a, 0.0), 1.0)), >>> > - (('ior', ('flt', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))), >>> > - (('ior', ('flt', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)), >>> > - (('ior', ('fge', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))), >>> > - (('ior', ('fge', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)), >>> >>> These would be safe if fmin/fmax were commutative, which I don't think >>> is the case? >> >> They are not commutative :-( >> >>> > + (('~ior', ('flt', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, >> c))), >>> > + (('~ior', ('flt', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), >> c)), >>> > + (('~ior', ('fge', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, >> c))), >>> > + (('~ior', ('fge', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), >> c)), >>> > (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'), >>> > (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'), >>> > (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'), >>> > @@ -150,15 +150,15 @@ optimizations = [ >>> > (('ult', a, a), False), >>> > (('uge', a, a), True), >>> > # Logical and bit operations >>> > - (('fand', a, 0.0), 0.0), >>> > + (('~fand', a, 0.0), 0.0), >>> >>> This is safe if fand(x, y) is defined as (x != 0 && y != 0 ? 1 : 0). >>> Could you remind me how it is defined? >> >> Yes, that is the definition. >> >>> > (('iand', a, a), a), >>> > (('iand', a, ~0), a), >>> > (('iand', a, 0), 0), >>> > (('ior', a, a), a), >>> > (('ior', a, 0), a), >>> > - (('fxor', a, a), 0.0), >>> > + (('~fxor', a, a), 0.0), >>> >>> Same goes here. >> >> Right. >> >>> > (('ixor', a, a), 0), >>> > - (('fxor', a, 0.0), a), >>> > + (('~fxor', a, 0.0), a), >>> > (('ixor', a, 0), a), >>> > (('inot', ('inot', a)), a), >>> > # DeMorgan's Laws >>> > @@ -174,35 +174,35 @@ optimizations = [ >>> > (('iand', 0xff, ('ushr', a, 24)), ('ushr', a, 24)), >>> > (('iand', 0xffff, ('ushr', a, 16)), ('ushr', a, 16)), >>> > # Exponential/logarithmic identities >>> > - (('fexp2', ('flog2', a)), a), # 2^lg2(a) = a >>> > - (('flog2', ('fexp2', a)), a), # lg2(2^a) = a >>> > + (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a >>> > + (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a >>> > (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), >> 'options->lower_fpow'), # a^b = 2^(lg2(a)*b) >>> > - (('fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), >> '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b >>> > - (('fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', >> c), d))), >>> > - ('fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), >> # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d >>> > - (('fpow', a, 1.0), a), >>> > - (('fpow', a, 2.0), ('fmul', a, a)), >>> > - (('fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))), >>> > - (('fpow', 2.0, a), ('fexp2', a)), >>> > - (('fpow', ('fpow', a, 2.2), 0.454545), a), >>> > - (('fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)), >>> > - (('fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))), >>> > - (('frcp', ('fexp2', a)), ('fexp2', ('fneg', a))), >>> > - (('frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))), >>> > - (('flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))), >>> > - (('flog2', ('frcp', a)), ('fneg', ('flog2', a))), >>> > - (('flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))), >>> > - (('flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))), >>> > - (('fadd', ('flog2', a), ('flog2', b)), ('flog2', ('fmul', a, b))), >>> > - (('fadd', ('flog2', a), ('fneg', ('flog2', b))), ('flog2', ('fdiv', >> a, b))), >>> > - (('fmul', ('fexp2', a), ('fexp2', b)), ('fexp2', ('fadd', a, b))), >>> > + (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), >> '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b >>> > + (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', >> c), d))), >>> > + ('~fmul', ('fpow', a, b), ('fpow', c, d)), >> '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d >>> > + (('~fpow', a, 1.0), a), >>> > + (('~fpow', a, 2.0), ('fmul', a, a)), >>> > + (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))), >>> > + (('~fpow', 2.0, a), ('fexp2', a)), >>> > + (('~fpow', ('fpow', a, 2.2), 0.454545), a), >>> > + (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)), >>> > + (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))), >>> > + (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))), >>> > + (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))), >>> > + (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))), >>> > + (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))), >>> > + (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))), >>> > + (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))), >>> > + (('~fadd', ('flog2', a), ('flog2', b)), ('flog2', ('fmul', a, b))), >>> > + (('~fadd', ('flog2', a), ('fneg', ('flog2', b))), ('flog2', >> ('fdiv', a, b))), >>> > + (('~fmul', ('fexp2', a), ('fexp2', b)), ('fexp2', ('fadd', a, b))), >>> > # Division and reciprocal >>> > - (('fdiv', 1.0, a), ('frcp', a)), >>> > - (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'), >>> >>> This one is safe and I guess necessary if the back-end requires fdiv to >>> be lowered? >> >> Thanks. I must have gotten too eager to flag things. >> >>> > - (('frcp', ('frcp', a)), a), >>> > - (('frcp', ('fsqrt', a)), ('frsq', a)), >>> > - (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'), >>> >>> Same here. >> >> Yup >> >>> > - (('frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'), >>> > + (('~fdiv', 1.0, a), ('frcp', a)), >>> > + (('~fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'), >>> > + (('~frcp', ('frcp', a)), a), >>> > + (('~frcp', ('fsqrt', a)), ('frsq', a)), >>> > + (('~fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'), >>> > + (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'), >>> > # Boolean simplifications >>> > (('ieq', 'a@bool', True), a), >>> > (('ine', 'a@bool', True), ('inot', a)), >>> > @@ -221,8 +221,8 @@ optimizations = [ >>> > >>> > # Conversions >>> > (('i2b', ('b2i', a)), a), >>> > - (('f2i', ('ftrunc', a)), ('f2i', a)), >>> > - (('f2u', ('ftrunc', a)), ('f2u', a)), >>> > + (('~f2i', ('ftrunc', a)), ('f2i', a)), >>> > + (('~f2u', ('ftrunc', a)), ('f2u', a)), >>> > >>> These seem safe to me. >> I think they probably are. I think there may be a problem when the number >> of mantissa bits is bigger than the number of integer bits. In that case, >> the out-of-bounds behaviour may get interesting. However, we're not >> handling that case yet so I think it's safe. >> > Hm, I don't think I understand the problem, if the integer part of 'a' > is outside the representable range of the integer type, is that not > going to be the case still after 'ftrunc()'? > >>> > # Byte extraction >>> > (('ushr', a, 24), ('extract_u8', a, 3), >> '!options->lower_extract_byte'), >>> > @@ -235,17 +235,17 @@ optimizations = [ >>> > (('iand', 0xffff, a), ('extract_u16', a, 0), >> '!options->lower_extract_word'), >>> > >>> > # Subtracts >>> > - (('fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)), >>> > + (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)), >>> > (('isub', a, ('isub', 0, b)), ('iadd', a, b)), >>> > (('ussub_4x8', a, 0), a), >>> > (('ussub_4x8', a, ~0), 0), >>> > - (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'), >>> > + (('~fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'), >>> >>> Required for lowering. >> >> Yup >> >>> > (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'), >>> > - (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'), >>> > + (('~fneg', a), ('fsub', 0.0, a), 'options->lower_negate'), >>> >>> Same here. >> >> Yup >> >>> > (('ineg', a), ('isub', 0, a), 'options->lower_negate'), >>> > - (('fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)), >>> > + (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)), >>> > (('iadd', a, ('isub', 0, b)), ('isub', a, b)), >>> > - (('fabs', ('fsub', 0.0, a)), ('fabs', a)), >>> > + (('~fabs', ('fsub', 0.0, a)), ('fabs', a)), >>> >>> This one seems safe. >> >> Depends on whether or not a + 0.0 == a. I think it should but glennk >> seemed to think it wasn't. I'd rather be on the safe side for now. > > Heh, the reason I pointed that out is that because of the fabs() around > the subtraction it doesn't actually matter whether '0 - a == -a' or not. > The only case where the equality may not hold is for a=+0, because > '(+0) - (+0)' might be +0 or -0 depending on the rounding behaviour of the > implementation. However the end result is the same because fabs(-0) == > fabs(+0). > >> >>> > (('iabs', ('isub', 0, a)), ('iabs', a)), >>> > >>> > # Misc. lowering >>> > @@ -372,10 +372,10 @@ for op in ['flt', 'fge', 'feq', 'fne', >>> > # they help code generation but do not necessarily produce code that is >>> > # more easily optimizable. >>> > late_optimizations = [ >>> > - (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))), >>> >>> This one also seems safe, >> I've come to the conclusion that it isn't. If you have a -inf and inf, >> then a+b is going to be one of NaN, inf, or 0. In any case the expression >> on the left is commutative while the one on the right isn't. >> > Yeah, well, they may not be equivalent but only if the implementation > doesn't do IEEE-compliant NaN handling and it doesn't flush them to zero > either -- In either of those cases the LHS evaluates to false while the > RHS does too because the two infs have opposite signs. It might be > useful to add some sort of compiler option for the back-end to specify > its preferred NaN handling rules? > >>> > - (('fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))), >>> > - (('feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))), >>> > - (('fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))), >>> >>> ...but these other ones are indeed unsafe for some sign combinations of >>> a and b when they are not finite. >>> >>> > + (('~flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))), >>> > + (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))), >>> > + (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))), >>> > + (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))), >>> > (('fdot2', a, b), ('fdot_replicated2', a, b), >> 'options->fdot_replicates'), >>> > (('fdot3', a, b), ('fdot_replicated3', a, b), >> 'options->fdot_replicates'), >>> > (('fdot4', a, b), ('fdot_replicated4', a, b), >> 'options->fdot_replicates'), >>> >>> I've also looked through the remaining algebraic optimizations in this >>> pass, and things look safe except for the ones you have already marked >>> unsafe in this patch -- I'll wait until you answer the questions I >>> pointed out before I send you a R-b for it though. >>> >>> > -- >>> > 2.5.0.400.gff86faf >>> > >>> > _______________________________________________ >>> > mesa-dev mailing list >>> > mesa-dev@lists.freedesktop.org >>> > https://lists.freedesktop.org/mailman/listinfo/mesa-dev
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