# and <replace> is either an expression or a value. An expression is
# defined as a tuple of the form (<op>, <src0>, <src1>, <src2>, <src3>)
# where each source is either an expression or a value. A value can be
-# either a numeric constant or a string representing a variable name. For
-# constants, you have to be careful to make sure that it is the right type
-# because python is unaware of the source and destination types of the
+# either a numeric constant or a string representing a variable name.
+#
+# Variable names are specified as "[#]name[@type]" where "#" inicates that
+# the given variable will only match constants and the type indicates that
+# the given variable will only match values from ALU instructions with the
+# given output type.
+#
+# For constants, you have to be careful to make sure that it is the right
+# type because python is unaware of the source and destination types of the
# opcodes.
optimizations = [
(('iabs', ('ineg', a)), ('iabs', a)),
(('fadd', a, 0.0), a),
(('iadd', a, 0), a),
+ (('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),
+ (('iadd', ('ineg', a), a), 0),
(('fmul', a, 0.0), 0.0),
(('imul', a, 0), 0),
(('fmul', a, 1.0), a),
(('flrp', a, b, 1.0), b),
(('flrp', a, a, b), a),
(('flrp', 0.0, a, b), ('fmul', a, b)),
- (('fadd', ('fmul', a, b), c), ('ffma', a, b, c)),
+ (('flrp', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), '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'),
+ # 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)),
(('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
- (('fmin', ('fmax', a, 1.0), 0.0), ('fsat', a)),
-# This one may not be exact
+ (('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),
+ (('fmax', a, a), a),
+ (('imin', a, a), a),
+ (('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'),
+ (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
+ (('fsat', ('fsat', a)), ('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)),
+ (('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'),
+ (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
+ # Emulating booleans
+ (('imul', ('b2i', a), ('b2i', b)), ('b2i', ('iand', a, b))),
+ (('fmul', ('b2f', a), ('b2f', b)), ('b2f', ('iand', a, b))),
+ (('fsat', ('fadd', ('b2f', a), ('b2f', b))), ('b2f', ('ior', a, b))),
+ (('iand', 'a@bool', 1.0), ('b2f', a)),
+ (('flt', ('fneg', ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
+ (('flt', ('fsub', 0.0, ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
+ # Comparison with the same args. Note that these are not done for
+ # the float versions because NaN always returns false on float
+ # inequalities.
+ (('ilt', a, a), False),
+ (('ige', a, a), True),
+ (('ieq', a, a), True),
+ (('ine', a, a), False),
+ (('ult', a, a), False),
+ (('uge', a, a), True),
+ # Logical and bit operations
+ (('fand', a, 0.0), 0.0),
+ (('iand', a, a), a),
+ (('iand', a, 0), 0),
+ (('ior', a, a), a),
+ (('ior', a, 0), a),
+ (('fxor', a, a), 0.0),
+ (('ixor', a, a), 0),
+ (('inot', ('inot', a)), a),
+ # DeMorgan's Laws
+ (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
+ (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
+ # Shift optimizations
+ (('ishl', 0, a), 0),
+ (('ishl', a, 0), a),
+ (('ishr', 0, a), 0),
+ (('ishr', a, 0), a),
+ (('ushr', 0, a), 0),
+ (('ushr', a, 0), a),
+ # Exponential/logarithmic identities
+ (('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
+ (('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)),
+ (('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
+ (('ine', 'a@bool', 0), 'a'),
+ (('ieq', 'a@bool', 0), ('inot', 'a')),
+ (('bcsel', a, True, False), ('ine', a, 0)),
+ (('bcsel', a, False, True), ('ieq', a, 0)),
+ (('bcsel', True, b, c), b),
+ (('bcsel', False, b, c), c),
+ # The result of this should be hit by constant propagation and, in the
+ # next round of opt_algebraic, get picked up by one of the above two.
+ (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
+
+ (('bcsel', a, b, b), b),
+ (('fcsel', a, b, b), b),
+
+ # Conversions
+ (('i2b', ('b2i', a)), a),
+ (('f2i', ('ftrunc', a)), ('f2i', a)),
+ (('f2u', ('ftrunc', a)), ('f2u', a)),
+
+ # Subtracts
+ (('fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
+ (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
+ (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
+ (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
+ (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
+ (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
+ (('fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
+ (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
+ (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
+ (('iabs', ('isub', 0, a)), ('iabs', a)),
+]
+
+# Add optimizations to handle the case where the result of a ternary is
+# compared to a constant. This way we can take things like
+#
+# (a ? 0 : 1) > 0
+#
+# and turn it into
+#
+# a ? (0 > 0) : (1 > 0)
+#
+# which constant folding will eat for lunch. The resulting ternary will
+# further get cleaned up by the boolean reductions above and we will be
+# left with just the original variable "a".
+for op in ['flt', 'fge', 'feq', 'fne',
+ 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
+ optimizations += [
+ ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
+ ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
+ ((op, '#d', ('bcsel', a, '#b', '#c')),
+ ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
+ ]
+
+# This section contains "late" optimizations that should be run after the
+# regular optimizations have finished. Optimizations should go here if
+# 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))),
+ (('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))),
]
print nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render()
+print nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
+ late_optimizations).render()