2 # Copyright (C) 2014 Intel Corporation
4 # Permission is hereby granted, free of charge, to any person obtaining a
5 # copy of this software and associated documentation files (the "Software"),
6 # to deal in the Software without restriction, including without limitation
7 # the rights to use, copy, modify, merge, publish, distribute, sublicense,
8 # and/or sell copies of the Software, and to permit persons to whom the
9 # Software is furnished to do so, subject to the following conditions:
11 # The above copyright notice and this permission notice (including the next
12 # paragraph) shall be included in all copies or substantial portions of the
15 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
18 # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
20 # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
24 # Jason Ekstrand (jason@jlekstrand.net)
26 from __future__
import print_function
28 from collections
import OrderedDict
30 from nir_opcodes
import type_sizes
33 # Convenience variables
39 # Written in the form (<search>, <replace>) where <search> is an expression
40 # and <replace> is either an expression or a value. An expression is
41 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
42 # where each source is either an expression or a value. A value can be
43 # either a numeric constant or a string representing a variable name.
45 # If the opcode in a search expression is prefixed by a '~' character, this
46 # indicates that the operation is inexact. Such operations will only get
47 # applied to SSA values that do not have the exact bit set. This should be
48 # used by by any optimizations that are not bit-for-bit exact. It should not,
49 # however, be used for backend-requested lowering operations as those need to
50 # happen regardless of precision.
52 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
53 # that the given variable will only match constants and the type indicates that
54 # the given variable will only match values from ALU instructions with the
55 # given output type, and (cond) specifies an additional condition function
56 # (see nir_search_helpers.h).
58 # For constants, you have to be careful to make sure that it is the right
59 # type because python is unaware of the source and destination types of the
62 # All expression types can have a bit-size specified. For opcodes, this
63 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
64 # type and size. In the search half of the expression this indicates that it
65 # should only match that particular bit-size. In the replace half of the
66 # expression this indicates that the constructed value should have that
71 (('imul', a
, '#b@32(is_pos_power_of_two)'), ('ishl', a
, ('find_lsb', b
))),
72 (('imul', a
, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a
, ('find_lsb', ('iabs', b
))))),
73 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a
, b
)), ('imul', a
, b
)),
74 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a
, b
)), ('imul', a
, b
)),
75 (('imul_2x32_64', a
, b
), ('pack_64_2x32_split', ('imul', a
, b
), ('imul_high', a
, b
)), 'options->lower_mul_2x32_64'),
76 (('umul_2x32_64', a
, b
), ('pack_64_2x32_split', ('imul', a
, b
), ('umul_high', a
, b
)), 'options->lower_mul_2x32_64'),
81 (('udiv', a
, '#b@32(is_pos_power_of_two)'), ('ushr', a
, ('find_lsb', b
))),
82 (('idiv', a
, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a
), ('ushr', ('iabs', a
), ('find_lsb', b
))), 'options->lower_idiv'),
83 (('idiv', a
, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a
), ('ushr', ('iabs', a
), ('find_lsb', ('iabs', b
))))), 'options->lower_idiv'),
84 (('umod', a
, '#b(is_pos_power_of_two)'), ('iand', a
, ('isub', b
, 1))),
86 (('fneg', ('fneg', a
)), a
),
87 (('ineg', ('ineg', a
)), a
),
88 (('fabs', ('fabs', a
)), ('fabs', a
)),
89 (('fabs', ('fneg', a
)), ('fabs', a
)),
90 (('fabs', ('u2f', a
)), ('u2f', a
)),
91 (('iabs', ('iabs', a
)), ('iabs', a
)),
92 (('iabs', ('ineg', a
)), ('iabs', a
)),
93 (('f2b', ('fneg', a
)), ('f2b', a
)),
94 (('i2b', ('ineg', a
)), ('i2b', a
)),
95 (('~fadd', a
, 0.0), a
),
97 (('usadd_4x8', a
, 0), a
),
98 (('usadd_4x8', a
, ~
0), ~
0),
99 (('~fadd', ('fmul', a
, b
), ('fmul', a
, c
)), ('fmul', a
, ('fadd', b
, c
))),
100 (('iadd', ('imul', a
, b
), ('imul', a
, c
)), ('imul', a
, ('iadd', b
, c
))),
101 (('~fadd', ('fneg', a
), a
), 0.0),
102 (('iadd', ('ineg', a
), a
), 0),
103 (('iadd', ('ineg', a
), ('iadd', a
, b
)), b
),
104 (('iadd', a
, ('iadd', ('ineg', a
), b
)), b
),
105 (('~fadd', ('fneg', a
), ('fadd', a
, b
)), b
),
106 (('~fadd', a
, ('fadd', ('fneg', a
), b
)), b
),
107 (('~fmul', a
, 0.0), 0.0),
109 (('umul_unorm_4x8', a
, 0), 0),
110 (('umul_unorm_4x8', a
, ~
0), a
),
111 (('fmul', a
, 1.0), a
),
113 (('fmul', a
, -1.0), ('fneg', a
)),
114 (('imul', a
, -1), ('ineg', a
)),
115 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
116 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
117 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
118 (('fmul', ('fsign', a
), ('fmul', a
, a
)), ('fmul', ('fabs', a
), a
)),
119 (('fmul', ('fmul', ('fsign', a
), a
), a
), ('fmul', ('fabs', a
), a
)),
120 (('~ffma', 0.0, a
, b
), b
),
121 (('~ffma', a
, 0.0, b
), b
),
122 (('~ffma', a
, b
, 0.0), ('fmul', a
, b
)),
123 (('ffma', a
, 1.0, b
), ('fadd', a
, b
)),
124 (('ffma', 1.0, a
, b
), ('fadd', a
, b
)),
125 (('~flrp', a
, b
, 0.0), a
),
126 (('~flrp', a
, b
, 1.0), b
),
127 (('~flrp', a
, a
, b
), a
),
128 (('~flrp', 0.0, a
, b
), ('fmul', a
, b
)),
129 (('~flrp', a
, b
, ('b2f', 'c@1')), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
130 (('~flrp', a
, 0.0, c
), ('fadd', ('fmul', ('fneg', a
), c
), a
)),
131 (('flrp@16', a
, b
, c
), ('fadd', ('fmul', c
, ('fsub', b
, a
)), a
), 'options->lower_flrp16'),
132 (('flrp@32', a
, b
, c
), ('fadd', ('fmul', c
, ('fsub', b
, a
)), a
), 'options->lower_flrp32'),
133 (('flrp@64', a
, b
, c
), ('fadd', ('fmul', c
, ('fsub', b
, a
)), a
), 'options->lower_flrp64'),
134 (('ffloor', a
), ('fsub', a
, ('ffract', a
)), 'options->lower_ffloor'),
135 (('fadd', a
, ('fneg', ('ffract', a
))), ('ffloor', a
), '!options->lower_ffloor'),
136 (('ffract', a
), ('fsub', a
, ('ffloor', a
)), 'options->lower_ffract'),
137 (('fceil', a
), ('fneg', ('ffloor', ('fneg', a
))), 'options->lower_fceil'),
138 (('~fadd', ('fmul', a
, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b
, ('b2f', c
))), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
139 (('~fadd@32', ('fmul', a
, ('fadd', 1.0, ('fneg', c
))), ('fmul', b
, c
)), ('flrp', a
, b
, c
), '!options->lower_flrp32'),
140 (('~fadd@64', ('fmul', a
, ('fadd', 1.0, ('fneg', c
))), ('fmul', b
, c
)), ('flrp', a
, b
, c
), '!options->lower_flrp64'),
141 (('~fadd', a
, ('fmul', ('b2f', 'c@1'), ('fadd', b
, ('fneg', a
)))), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
142 (('~fadd@32', a
, ('fmul', c
, ('fadd', b
, ('fneg', a
)))), ('flrp', a
, b
, c
), '!options->lower_flrp32'),
143 (('~fadd@64', a
, ('fmul', c
, ('fadd', b
, ('fneg', a
)))), ('flrp', a
, b
, c
), '!options->lower_flrp64'),
144 (('ffma', a
, b
, c
), ('fadd', ('fmul', a
, b
), c
), 'options->lower_ffma'),
145 (('~fadd', ('fmul', a
, b
), c
), ('ffma', a
, b
, c
), 'options->fuse_ffma'),
147 (('fdot4', ('vec4', a
, b
, c
, 1.0), d
), ('fdph', ('vec3', a
, b
, c
), d
)),
148 (('fdot4', ('vec4', a
, 0.0, 0.0, 0.0), b
), ('fmul', a
, b
)),
149 (('fdot4', ('vec4', a
, b
, 0.0, 0.0), c
), ('fdot2', ('vec2', a
, b
), c
)),
150 (('fdot4', ('vec4', a
, b
, c
, 0.0), d
), ('fdot3', ('vec3', a
, b
, c
), d
)),
152 (('fdot3', ('vec3', a
, 0.0, 0.0), b
), ('fmul', a
, b
)),
153 (('fdot3', ('vec3', a
, b
, 0.0), c
), ('fdot2', ('vec2', a
, b
), c
)),
155 # (a * #b + #c) << #d
156 # ((a * #b) << #d) + (#c << #d)
157 # (a * (#b << #d)) + (#c << #d)
158 (('ishl', ('iadd', ('imul', a
, '#b'), '#c'), '#d'),
159 ('iadd', ('imul', a
, ('ishl', b
, d
)), ('ishl', c
, d
))),
163 (('ishl', ('imul', a
, '#b'), '#c'), ('imul', a
, ('ishl', b
, c
))),
165 # Comparison simplifications
166 (('~inot', ('flt', a
, b
)), ('fge', a
, b
)),
167 (('~inot', ('fge', a
, b
)), ('flt', a
, b
)),
168 (('~inot', ('feq', a
, b
)), ('fne', a
, b
)),
169 (('~inot', ('fne', a
, b
)), ('feq', a
, b
)),
170 (('inot', ('ilt', a
, b
)), ('ige', a
, b
)),
171 (('inot', ('ult', a
, b
)), ('uge', a
, b
)),
172 (('inot', ('ige', a
, b
)), ('ilt', a
, b
)),
173 (('inot', ('uge', a
, b
)), ('ult', a
, b
)),
174 (('inot', ('ieq', a
, b
)), ('ine', a
, b
)),
175 (('inot', ('ine', a
, b
)), ('ieq', a
, b
)),
179 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
181 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a
)),
183 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a
)),
185 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
186 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
187 (('fne', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a
, b
)),
188 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a
, b
)),
189 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
190 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
191 (('fne', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a
, b
)),
192 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a
, b
)),
193 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a
, b
)),
194 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a
, b
)),
195 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
196 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
197 (('feq', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a
, b
))),
198 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
199 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
200 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
201 (('feq', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a
, b
))),
202 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a
, b
)),
203 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a
, b
)),
204 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a
, b
)),
206 # -(b2f(a) + b2f(b)) < 0
207 # 0 < b2f(a) + b2f(b)
208 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
210 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a
, b
)),
211 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a
, b
)),
213 # -(b2f(a) + b2f(b)) >= 0
214 # 0 >= b2f(a) + b2f(b)
215 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
217 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a
, b
))),
218 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
220 # Some optimizations (below) convert things like (a < b || c < b) into
221 # (min(a, c) < b). However, this interfers with the previous optimizations
222 # that try to remove comparisons with negated sums of b2f. This just
224 (('flt', ('fmin', c
, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
225 ('ior', ('flt', c
, 0.0), ('ior', a
, b
))),
227 (('~flt', ('fadd', a
, b
), a
), ('flt', b
, 0.0)),
228 (('~fge', ('fadd', a
, b
), a
), ('fge', b
, 0.0)),
229 (('~feq', ('fadd', a
, b
), a
), ('feq', b
, 0.0)),
230 (('~fne', ('fadd', a
, b
), a
), ('fne', b
, 0.0)),
232 # Cannot remove the addition from ilt or ige due to overflow.
233 (('ieq', ('iadd', a
, b
), a
), ('ieq', b
, 0)),
234 (('ine', ('iadd', a
, b
), a
), ('ine', b
, 0)),
236 # fmin(-b2f(a), b) >= 0.0
237 # -b2f(a) >= 0.0 && b >= 0.0
238 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
239 # b2f(a) == 0.0 && b >= 0.0
240 # a == False && b >= 0.0
243 # The fge in the second replacement is not a typo. I leave the proof that
244 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
246 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
247 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
249 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a
)),
250 (('fne', ('b2f', 'a@1'), 0.0), a
),
251 (('ieq', ('b2i', 'a@1'), 0), ('inot', a
)),
252 (('ine', ('b2i', 'a@1'), 0), a
),
254 (('fne', ('u2f', a
), 0.0), ('ine', a
, 0)),
255 (('feq', ('u2f', a
), 0.0), ('ieq', a
, 0)),
256 (('fge', ('u2f', a
), 0.0), True),
257 (('fge', 0.0, ('u2f', a
)), ('uge', 0, a
)), # ieq instead?
258 (('flt', ('u2f', a
), 0.0), False),
259 (('flt', 0.0, ('u2f', a
)), ('ult', 0, a
)), # ine instead?
260 (('fne', ('i2f', a
), 0.0), ('ine', a
, 0)),
261 (('feq', ('i2f', a
), 0.0), ('ieq', a
, 0)),
262 (('fge', ('i2f', a
), 0.0), ('ige', a
, 0)),
263 (('fge', 0.0, ('i2f', a
)), ('ige', 0, a
)),
264 (('flt', ('i2f', a
), 0.0), ('ilt', a
, 0)),
265 (('flt', 0.0, ('i2f', a
)), ('ilt', 0, a
)),
269 # fabs(a) != 0.0 because fabs(a) must be >= 0
271 (('~flt', 0.0, ('fabs', a
)), ('fne', a
, 0.0)),
275 (('~flt', ('fneg', ('fabs', a
)), 0.0), ('fne', a
, 0.0)),
278 # 0.0 == fabs(a) because fabs(a) must be >= 0
280 (('fge', 0.0, ('fabs', a
)), ('feq', a
, 0.0)),
284 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
286 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a
, b
))),
287 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a
, b
)))),
288 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
289 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a
, b
)))),
292 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
293 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
294 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
296 # Since b is a constant, constant folding will eliminate the fmin and the
297 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
298 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a
, ('fmin', b
, 1.0), ('fmin', b
, 0.0))),
300 (('flt', ('fadd(is_used_once)', a
, ('fneg', b
)), 0.0), ('flt', a
, b
)),
302 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
303 (('~bcsel', ('flt', b
, a
), b
, a
), ('fmin', a
, b
)),
304 (('~bcsel', ('flt', a
, b
), b
, a
), ('fmax', a
, b
)),
305 (('~bcsel', ('fge', a
, b
), b
, a
), ('fmin', a
, b
)),
306 (('~bcsel', ('fge', b
, a
), b
, a
), ('fmax', a
, b
)),
307 (('bcsel', ('i2b', a
), b
, c
), ('bcsel', ('ine', a
, 0), b
, c
)),
308 (('bcsel', ('inot', a
), b
, c
), ('bcsel', a
, c
, b
)),
309 (('bcsel', a
, ('bcsel', a
, b
, c
), d
), ('bcsel', a
, b
, d
)),
310 (('bcsel', a
, b
, ('bcsel', a
, c
, d
)), ('bcsel', a
, b
, d
)),
311 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
312 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
313 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
314 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
315 (('bcsel', a
, True, b
), ('ior', a
, b
)),
316 (('bcsel', a
, a
, b
), ('ior', a
, b
)),
317 (('bcsel', a
, b
, False), ('iand', a
, b
)),
318 (('bcsel', a
, b
, a
), ('iand', a
, b
)),
325 (('fmax', ('fmax', a
, b
), b
), ('fmax', a
, b
)),
326 (('umax', ('umax', a
, b
), b
), ('umax', a
, b
)),
327 (('imax', ('imax', a
, b
), b
), ('imax', a
, b
)),
328 (('fmin', ('fmin', a
, b
), b
), ('fmin', a
, b
)),
329 (('umin', ('umin', a
, b
), b
), ('umin', a
, b
)),
330 (('imin', ('imin', a
, b
), b
), ('imin', a
, b
)),
331 (('fmax', a
, ('fneg', a
)), ('fabs', a
)),
332 (('imax', a
, ('ineg', a
)), ('iabs', a
)),
333 (('fmin', a
, ('fneg', a
)), ('fneg', ('fabs', a
))),
334 (('imin', a
, ('ineg', a
)), ('ineg', ('iabs', a
))),
335 (('fmin', a
, ('fneg', ('fabs', a
))), ('fneg', ('fabs', a
))),
336 (('imin', a
, ('ineg', ('iabs', a
))), ('ineg', ('iabs', a
))),
337 (('fmin', a
, ('fabs', a
)), a
),
338 (('imin', a
, ('iabs', a
)), a
),
339 (('fmax', a
, ('fneg', ('fabs', a
))), a
),
340 (('imax', a
, ('ineg', ('iabs', a
))), a
),
341 (('fmax', a
, ('fabs', a
)), ('fabs', a
)),
342 (('imax', a
, ('iabs', a
)), ('iabs', a
)),
343 (('fmax', a
, ('fneg', a
)), ('fabs', a
)),
344 (('imax', a
, ('ineg', a
)), ('iabs', a
)),
345 (('~fmin', ('fmax', a
, 0.0), 1.0), ('fsat', a
), '!options->lower_fsat'),
346 (('~fmax', ('fmin', a
, 1.0), 0.0), ('fsat', a
), '!options->lower_fsat'),
347 (('fsat', ('fsign', a
)), ('b2f', ('flt', 0.0, a
))),
348 (('fsat', ('b2f', a
)), ('b2f', a
)),
349 (('fsat', a
), ('fmin', ('fmax', a
, 0.0), 1.0), 'options->lower_fsat'),
350 (('fsat', ('fsat', a
)), ('fsat', a
)),
351 (('fmin', ('fmax', ('fmin', ('fmax', a
, b
), c
), b
), c
), ('fmin', ('fmax', a
, b
), c
)),
352 (('imin', ('imax', ('imin', ('imax', a
, b
), c
), b
), c
), ('imin', ('imax', a
, b
), c
)),
353 (('umin', ('umax', ('umin', ('umax', a
, b
), c
), b
), c
), ('umin', ('umax', a
, b
), c
)),
354 (('fmax', ('fsat', a
), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a
, b
))),
355 (('fmin', ('fsat', a
), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a
, b
))),
356 (('extract_u8', ('imin', ('imax', a
, 0), 0xff), 0), ('imin', ('imax', a
, 0), 0xff)),
357 (('~ior', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmax', b
, c
))),
358 (('~ior', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmin', a
, b
), c
)),
359 (('~ior', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmin', b
, c
))),
360 (('~ior', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmax', a
, b
), c
)),
361 (('~ior', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmax', b
, c
))),
362 (('~ior', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmin', a
, b
), c
)),
363 (('~ior', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmin', b
, c
))),
364 (('~ior', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmax', a
, b
), c
)),
365 (('~iand', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmin', b
, c
))),
366 (('~iand', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmax', a
, b
), c
)),
367 (('~iand', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmax', b
, c
))),
368 (('~iand', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmin', a
, b
), c
)),
369 (('~iand', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmin', b
, c
))),
370 (('~iand', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmax', a
, b
), c
)),
371 (('~iand', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmax', b
, c
))),
372 (('~iand', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmin', a
, b
), c
)),
374 (('ior', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imax', b
, c
))),
375 (('ior', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imin', a
, b
), c
)),
376 (('ior', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imin', b
, c
))),
377 (('ior', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imax', a
, b
), c
)),
378 (('ior', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umax', b
, c
))),
379 (('ior', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umin', a
, b
), c
)),
380 (('ior', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umin', b
, c
))),
381 (('ior', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umax', a
, b
), c
)),
382 (('iand', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imin', b
, c
))),
383 (('iand', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imax', a
, b
), c
)),
384 (('iand', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imax', b
, c
))),
385 (('iand', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imin', a
, b
), c
)),
386 (('iand', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umin', b
, c
))),
387 (('iand', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umax', a
, b
), c
)),
388 (('iand', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umax', b
, c
))),
389 (('iand', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umin', a
, b
), c
)),
391 # Common pattern like 'if (i == 0 || i == 1 || ...)'
392 (('ior', ('ieq', a
, 0), ('ieq', a
, 1)), ('uge', 1, a
)),
393 (('ior', ('uge', 1, a
), ('ieq', a
, 2)), ('uge', 2, a
)),
394 (('ior', ('uge', 2, a
), ('ieq', a
, 3)), ('uge', 3, a
)),
396 (('ior', a
, ('ieq', a
, False)), True),
397 (('ior', a
, ('inot', a
)), -1),
399 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
401 # These patterns can result when (a < b || a < c) => (a < min(b, c))
402 # transformations occur before constant propagation and loop-unrolling.
403 (('~flt', a
, ('fmax', b
, a
)), ('flt', a
, b
)),
404 (('~flt', ('fmin', a
, b
), a
), ('flt', b
, a
)),
405 (('~fge', a
, ('fmin', b
, a
)), True),
406 (('~fge', ('fmax', a
, b
), a
), True),
407 (('~flt', a
, ('fmin', b
, a
)), False),
408 (('~flt', ('fmax', a
, b
), a
), False),
409 (('~fge', a
, ('fmax', b
, a
)), ('fge', a
, b
)),
410 (('~fge', ('fmin', a
, b
), a
), ('fge', b
, a
)),
412 (('ilt', a
, ('imax', b
, a
)), ('ilt', a
, b
)),
413 (('ilt', ('imin', a
, b
), a
), ('ilt', b
, a
)),
414 (('ige', a
, ('imin', b
, a
)), True),
415 (('ige', ('imax', a
, b
), a
), True),
416 (('ult', a
, ('umax', b
, a
)), ('ult', a
, b
)),
417 (('ult', ('umin', a
, b
), a
), ('ult', b
, a
)),
418 (('uge', a
, ('umin', b
, a
)), True),
419 (('uge', ('umax', a
, b
), a
), True),
420 (('ilt', a
, ('imin', b
, a
)), False),
421 (('ilt', ('imax', a
, b
), a
), False),
422 (('ige', a
, ('imax', b
, a
)), ('ige', a
, b
)),
423 (('ige', ('imin', a
, b
), a
), ('ige', b
, a
)),
424 (('ult', a
, ('umin', b
, a
)), False),
425 (('ult', ('umax', a
, b
), a
), False),
426 (('uge', a
, ('umax', b
, a
)), ('uge', a
, b
)),
427 (('uge', ('umin', a
, b
), a
), ('uge', b
, a
)),
429 (('ilt', '#a', ('imax', '#b', c
)), ('ior', ('ilt', a
, b
), ('ilt', a
, c
))),
430 (('ilt', ('imin', '#a', b
), '#c'), ('ior', ('ilt', a
, c
), ('ilt', b
, c
))),
431 (('ige', '#a', ('imin', '#b', c
)), ('ior', ('ige', a
, b
), ('ige', a
, c
))),
432 (('ige', ('imax', '#a', b
), '#c'), ('ior', ('ige', a
, c
), ('ige', b
, c
))),
433 (('ult', '#a', ('umax', '#b', c
)), ('ior', ('ult', a
, b
), ('ult', a
, c
))),
434 (('ult', ('umin', '#a', b
), '#c'), ('ior', ('ult', a
, c
), ('ult', b
, c
))),
435 (('uge', '#a', ('umin', '#b', c
)), ('ior', ('uge', a
, b
), ('uge', a
, c
))),
436 (('uge', ('umax', '#a', b
), '#c'), ('ior', ('uge', a
, c
), ('uge', b
, c
))),
437 (('ilt', '#a', ('imin', '#b', c
)), ('iand', ('ilt', a
, b
), ('ilt', a
, c
))),
438 (('ilt', ('imax', '#a', b
), '#c'), ('iand', ('ilt', a
, c
), ('ilt', b
, c
))),
439 (('ige', '#a', ('imax', '#b', c
)), ('iand', ('ige', a
, b
), ('ige', a
, c
))),
440 (('ige', ('imin', '#a', b
), '#c'), ('iand', ('ige', a
, c
), ('ige', b
, c
))),
441 (('ult', '#a', ('umin', '#b', c
)), ('iand', ('ult', a
, b
), ('ult', a
, c
))),
442 (('ult', ('umax', '#a', b
), '#c'), ('iand', ('ult', a
, c
), ('ult', b
, c
))),
443 (('uge', '#a', ('umax', '#b', c
)), ('iand', ('uge', a
, b
), ('uge', a
, c
))),
444 (('uge', ('umin', '#a', b
), '#c'), ('iand', ('uge', a
, c
), ('uge', b
, c
))),
446 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
448 (('bcsel', ('ilt', a
, 0), ('ineg', ('ishr', a
, b
)), ('ishr', a
, b
)),
449 ('iabs', ('ishr', a
, b
))),
450 (('iabs', ('ishr', ('iabs', a
), b
)), ('ishr', ('iabs', a
), b
)),
452 (('fabs', ('slt', a
, b
)), ('slt', a
, b
)),
453 (('fabs', ('sge', a
, b
)), ('sge', a
, b
)),
454 (('fabs', ('seq', a
, b
)), ('seq', a
, b
)),
455 (('fabs', ('sne', a
, b
)), ('sne', a
, b
)),
456 (('slt', a
, b
), ('b2f', ('flt', a
, b
)), 'options->lower_scmp'),
457 (('sge', a
, b
), ('b2f', ('fge', a
, b
)), 'options->lower_scmp'),
458 (('seq', a
, b
), ('b2f', ('feq', a
, b
)), 'options->lower_scmp'),
459 (('sne', a
, b
), ('b2f', ('fne', a
, b
)), 'options->lower_scmp'),
460 (('fne', ('fneg', a
), a
), ('fne', a
, 0.0)),
461 (('feq', ('fneg', a
), a
), ('feq', a
, 0.0)),
463 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a
, b
))),
464 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
465 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a
, b
))),
466 (('iand', 'a@bool32', 1.0), ('b2f', a
)),
467 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
468 (('ineg', ('b2i32', 'a@32')), a
),
469 (('flt', ('fneg', ('b2f', 'a@1')), 0), a
), # Generated by TGSI KILL_IF.
470 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a
), # Generated by TGSI KILL_IF.
471 # Comparison with the same args. Note that these are not done for
472 # the float versions because NaN always returns false on float
474 (('ilt', a
, a
), False),
475 (('ige', a
, a
), True),
476 (('ieq', a
, a
), True),
477 (('ine', a
, a
), False),
478 (('ult', a
, a
), False),
479 (('uge', a
, a
), True),
480 # Logical and bit operations
481 (('fand', a
, 0.0), 0.0),
483 (('iand', a
, ~
0), a
),
487 (('ior', a
, True), True),
488 (('fxor', a
, a
), 0.0),
491 (('inot', ('inot', a
)), a
),
492 (('ior', ('iand', a
, b
), b
), b
),
493 (('ior', ('ior', a
, b
), b
), ('ior', a
, b
)),
494 (('iand', ('ior', a
, b
), b
), b
),
495 (('iand', ('iand', a
, b
), b
), ('iand', a
, b
)),
497 (('iand', ('inot', a
), ('inot', b
)), ('inot', ('ior', a
, b
))),
498 (('ior', ('inot', a
), ('inot', b
)), ('inot', ('iand', a
, b
))),
499 # Shift optimizations
506 (('iand', 0xff, ('ushr@32', a
, 24)), ('ushr', a
, 24)),
507 (('iand', 0xffff, ('ushr@32', a
, 16)), ('ushr', a
, 16)),
508 # Exponential/logarithmic identities
509 (('~fexp2', ('flog2', a
)), a
), # 2^lg2(a) = a
510 (('~flog2', ('fexp2', a
)), a
), # lg2(2^a) = a
511 (('fpow', a
, b
), ('fexp2', ('fmul', ('flog2', a
), b
)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
512 (('~fexp2', ('fmul', ('flog2', a
), b
)), ('fpow', a
, b
), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
513 (('~fexp2', ('fadd', ('fmul', ('flog2', a
), b
), ('fmul', ('flog2', c
), d
))),
514 ('~fmul', ('fpow', a
, b
), ('fpow', c
, d
)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
515 (('~fexp2', ('fmul', ('flog2', a
), 2.0)), ('fmul', a
, a
)),
516 (('~fexp2', ('fmul', ('flog2', a
), 4.0)), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
517 (('~fpow', a
, 1.0), a
),
518 (('~fpow', a
, 2.0), ('fmul', a
, a
)),
519 (('~fpow', a
, 4.0), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
520 (('~fpow', 2.0, a
), ('fexp2', a
)),
521 (('~fpow', ('fpow', a
, 2.2), 0.454545), a
),
522 (('~fpow', ('fabs', ('fpow', a
, 2.2)), 0.454545), ('fabs', a
)),
523 (('~fsqrt', ('fexp2', a
)), ('fexp2', ('fmul', 0.5, a
))),
524 (('~frcp', ('fexp2', a
)), ('fexp2', ('fneg', a
))),
525 (('~frsq', ('fexp2', a
)), ('fexp2', ('fmul', -0.5, a
))),
526 (('~flog2', ('fsqrt', a
)), ('fmul', 0.5, ('flog2', a
))),
527 (('~flog2', ('frcp', a
)), ('fneg', ('flog2', a
))),
528 (('~flog2', ('frsq', a
)), ('fmul', -0.5, ('flog2', a
))),
529 (('~flog2', ('fpow', a
, b
)), ('fmul', b
, ('flog2', a
))),
530 (('~fmul', ('fexp2(is_used_once)', a
), ('fexp2(is_used_once)', b
)), ('fexp2', ('fadd', a
, b
))),
531 # Division and reciprocal
532 (('~fdiv', 1.0, a
), ('frcp', a
)),
533 (('fdiv', a
, b
), ('fmul', a
, ('frcp', b
)), 'options->lower_fdiv'),
534 (('~frcp', ('frcp', a
)), a
),
535 (('~frcp', ('fsqrt', a
)), ('frsq', a
)),
536 (('fsqrt', a
), ('frcp', ('frsq', a
)), 'options->lower_fsqrt'),
537 (('~frcp', ('frsq', a
)), ('fsqrt', a
), '!options->lower_fsqrt'),
538 # Boolean simplifications
539 (('i2b32(is_used_by_if)', a
), ('ine32', a
, 0)),
540 (('i2b1(is_used_by_if)', a
), ('ine', a
, 0)),
541 (('ieq', a
, True), a
),
542 (('ine(is_not_used_by_if)', a
, True), ('inot', a
)),
543 (('ine', a
, False), a
),
544 (('ieq(is_not_used_by_if)', a
, False), ('inot', 'a')),
545 (('bcsel', a
, True, False), a
),
546 (('bcsel', a
, False, True), ('inot', a
)),
547 (('bcsel@32', a
, 1.0, 0.0), ('b2f', a
)),
548 (('bcsel@32', a
, 0.0, 1.0), ('b2f', ('inot', a
))),
549 (('bcsel@32', a
, -1.0, -0.0), ('fneg', ('b2f', a
))),
550 (('bcsel@32', a
, -0.0, -1.0), ('fneg', ('b2f', ('inot', a
)))),
551 (('bcsel', True, b
, c
), b
),
552 (('bcsel', False, b
, c
), c
),
553 (('bcsel', a
, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a
, b
, c
))),
554 # The result of this should be hit by constant propagation and, in the
555 # next round of opt_algebraic, get picked up by one of the above two.
556 (('bcsel', '#a', b
, c
), ('bcsel', ('ine', 'a', 0), b
, c
)),
558 (('bcsel', a
, b
, b
), b
),
559 (('fcsel', a
, b
, b
), b
),
561 # D3D Boolean emulation
562 (('bcsel', a
, -1, 0), ('ineg', ('b2i', 'a@1'))),
563 (('bcsel', a
, 0, -1), ('ineg', ('b2i', ('inot', a
)))),
564 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
565 ('ineg', ('b2i', ('iand', a
, b
)))),
566 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
567 ('ineg', ('b2i', ('ior', a
, b
)))),
568 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a
)),
569 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a
),
570 (('ine', ('ineg', ('b2i', 'a@1')), 0), a
),
571 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a
)),
572 (('iand', ('ineg', ('b2i', a
)), 1.0), ('b2f', a
)),
574 # SM5 32-bit shifts are defined to use the 5 least significant bits
575 (('ishl', 'a@32', ('iand', 31, b
)), ('ishl', a
, b
)),
576 (('ishr', 'a@32', ('iand', 31, b
)), ('ishr', a
, b
)),
577 (('ushr', 'a@32', ('iand', 31, b
)), ('ushr', a
, b
)),
580 (('i2b32', ('b2i', 'a@32')), a
),
581 (('f2i', ('ftrunc', a
)), ('f2i', a
)),
582 (('f2u', ('ftrunc', a
)), ('f2u', a
)),
583 (('i2b', ('ineg', a
)), ('i2b', a
)),
584 (('i2b', ('iabs', a
)), ('i2b', a
)),
585 (('fabs', ('b2f', a
)), ('b2f', a
)),
586 (('iabs', ('b2i', a
)), ('b2i', a
)),
587 (('inot', ('f2b1', a
)), ('feq', a
, 0.0)),
589 # Ironically, mark these as imprecise because removing the conversions may
590 # preserve more precision than doing the conversions (e.g.,
591 # uint(float(0x81818181u)) == 0x81818200).
592 (('~f2i32', ('i2f', 'a@32')), a
),
593 (('~f2i32', ('u2f', 'a@32')), a
),
594 (('~f2u32', ('i2f', 'a@32')), a
),
595 (('~f2u32', ('u2f', 'a@32')), a
),
597 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
600 # It is undefined to convert a negative floating-point value to an
603 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
604 # some optimizations in the i965 backend to proceed.
605 (('ige', ('f2u', a
), b
), ('ige', ('f2i', a
), b
)),
606 (('ige', b
, ('f2u', a
)), ('ige', b
, ('f2i', a
))),
607 (('ilt', ('f2u', a
), b
), ('ilt', ('f2i', a
), b
)),
608 (('ilt', b
, ('f2u', a
)), ('ilt', b
, ('f2i', a
))),
610 # Packing and then unpacking does nothing
611 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a
, b
)), a
),
612 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a
, b
)), b
),
613 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a
),
614 ('unpack_64_2x32_split_y', a
)), a
),
617 (('ushr', 'a@16', 8), ('extract_u8', a
, 1), '!options->lower_extract_byte'),
618 (('ushr', 'a@32', 24), ('extract_u8', a
, 3), '!options->lower_extract_byte'),
619 (('ushr', 'a@64', 56), ('extract_u8', a
, 7), '!options->lower_extract_byte'),
620 (('ishr', 'a@16', 8), ('extract_i8', a
, 1), '!options->lower_extract_byte'),
621 (('ishr', 'a@32', 24), ('extract_i8', a
, 3), '!options->lower_extract_byte'),
622 (('ishr', 'a@64', 56), ('extract_i8', a
, 7), '!options->lower_extract_byte'),
623 (('iand', 0xff, a
), ('extract_u8', a
, 0), '!options->lower_extract_byte')
626 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
627 # patterns like those below.
628 for op
in ('ushr', 'ishr'):
629 optimizations
.extend([(('extract_u8', (op
, 'a@16', 8), 0), ('extract_u8', a
, 1))])
630 optimizations
.extend([(('extract_u8', (op
, 'a@32', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 4)])
631 optimizations
.extend([(('extract_u8', (op
, 'a@64', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 8)])
633 optimizations
.extend([(('extract_u8', ('extract_u16', a
, 1), 0), ('extract_u8', a
, 2))])
635 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
636 # patterns like those below.
637 for op
in ('extract_u8', 'extract_i8'):
638 optimizations
.extend([((op
, ('ishl', 'a@16', 8), 1), (op
, a
, 0))])
639 optimizations
.extend([((op
, ('ishl', 'a@32', 24 - 8 * i
), 3), (op
, a
, i
)) for i
in range(2, -1, -1)])
640 optimizations
.extend([((op
, ('ishl', 'a@64', 56 - 8 * i
), 7), (op
, a
, i
)) for i
in range(6, -1, -1)])
642 optimizations
.extend([
644 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a
, 0), '!options->lower_extract_word'),
645 (('ushr', 'a@32', 16), ('extract_u16', a
, 1), '!options->lower_extract_word'),
646 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a
, 0), '!options->lower_extract_word'),
647 (('ishr', 'a@32', 16), ('extract_i16', a
, 1), '!options->lower_extract_word'),
648 (('iand', 0xffff, a
), ('extract_u16', a
, 0), '!options->lower_extract_word'),
651 (('~fsub', a
, ('fsub', 0.0, b
)), ('fadd', a
, b
)),
652 (('isub', a
, ('isub', 0, b
)), ('iadd', a
, b
)),
653 (('ussub_4x8', a
, 0), a
),
654 (('ussub_4x8', a
, ~
0), 0),
655 (('fsub', a
, b
), ('fadd', a
, ('fneg', b
)), 'options->lower_sub'),
656 (('isub', a
, b
), ('iadd', a
, ('ineg', b
)), 'options->lower_sub'),
657 (('fneg', a
), ('fsub', 0.0, a
), 'options->lower_negate'),
658 (('ineg', a
), ('isub', 0, a
), 'options->lower_negate'),
659 (('~fadd', a
, ('fsub', 0.0, b
)), ('fsub', a
, b
)),
660 (('iadd', a
, ('isub', 0, b
)), ('isub', a
, b
)),
661 (('fabs', ('fsub', 0.0, a
)), ('fabs', a
)),
662 (('iabs', ('isub', 0, a
)), ('iabs', a
)),
664 # Propagate negation up multiplication chains
665 (('fmul', ('fneg', a
), b
), ('fneg', ('fmul', a
, b
))),
666 (('imul', ('ineg', a
), b
), ('ineg', ('imul', a
, b
))),
668 # Propagate constants up multiplication chains
669 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a
, c
), b
)),
670 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a
, c
), b
)),
671 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a
, c
), b
)),
672 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a
, c
), b
)),
674 # Reassociate constants in add/mul chains so they can be folded together.
675 # For now, we mostly only handle cases where the constants are separated by
676 # a single non-constant. We could do better eventually.
677 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a
, c
), b
)),
678 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a
, c
), b
)),
679 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a
, c
), b
)),
680 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a
, ('fneg', c
)), ('fneg', b
))),
681 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a
, c
), b
)),
684 (('bcsel', ('ige', ('find_lsb', a
), 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
685 (('bcsel', ('ige', ('ifind_msb', a
), 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
686 (('bcsel', ('ige', ('ufind_msb', a
), 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
688 (('bcsel', ('ine', a
, 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
689 (('bcsel', ('ine', a
, 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
690 (('bcsel', ('ine', a
, 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
692 (('bcsel', ('ine', a
, -1), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
695 (('fmod@16', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod16'),
696 (('fmod@32', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod32'),
697 (('fmod@64', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod64'),
698 (('frem', a
, b
), ('fsub', a
, ('fmul', b
, ('ftrunc', ('fdiv', a
, b
)))), 'options->lower_fmod32'),
699 (('uadd_carry@32', a
, b
), ('b2i', ('ult', ('iadd', a
, b
), a
)), 'options->lower_uadd_carry'),
700 (('usub_borrow@32', a
, b
), ('b2i', ('ult', a
, b
)), 'options->lower_usub_borrow'),
702 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
703 ('bcsel', ('ilt', 31, 'bits'), 'insert',
704 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
705 'options->lower_bitfield_insert'),
706 (('ihadd', a
, b
), ('iadd', ('iand', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
707 (('uhadd', a
, b
), ('iadd', ('iand', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
708 (('irhadd', a
, b
), ('isub', ('ior', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
709 (('urhadd', a
, b
), ('isub', ('ior', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
710 (('uadd_sat', a
, b
), ('bcsel', ('ult', ('iadd', a
, b
), a
), -1, ('iadd', a
, b
)), 'options->lower_add_sat'),
711 (('usub_sat', a
, b
), ('bcsel', ('ult', a
, b
), 0, ('isub', a
, b
)), 'options->lower_add_sat'),
713 # Alternative lowering that doesn't rely on bfi.
714 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
715 ('bcsel', ('ilt', 31, 'bits'),
718 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
719 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
720 'options->lower_bitfield_insert_to_shifts'),
722 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
723 (('bfm', 'bits', 'offset'),
724 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
725 'options->lower_bfm'),
727 (('ibitfield_extract', 'value', 'offset', 'bits'),
728 ('bcsel', ('ilt', 31, 'bits'), 'value',
729 ('ibfe', 'value', 'offset', 'bits')),
730 'options->lower_bitfield_extract'),
732 (('ubitfield_extract', 'value', 'offset', 'bits'),
733 ('bcsel', ('ult', 31, 'bits'), 'value',
734 ('ubfe', 'value', 'offset', 'bits')),
735 'options->lower_bitfield_extract'),
737 (('ibitfield_extract', 'value', 'offset', 'bits'),
738 ('bcsel', ('ieq', 0, 'bits'),
741 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
742 ('isub', 32, 'bits'))),
743 'options->lower_bitfield_extract_to_shifts'),
745 (('ubitfield_extract', 'value', 'offset', 'bits'),
747 ('ushr', 'value', 'offset'),
748 ('bcsel', ('ieq', 'bits', 32),
750 ('bfm', 'bits', 0))),
751 'options->lower_bitfield_extract_to_shifts'),
753 (('ifind_msb', 'value'),
754 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
755 'options->lower_ifind_msb'),
757 (('find_lsb', 'value'),
758 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
759 'options->lower_find_lsb'),
761 (('extract_i8', a
, 'b@32'),
762 ('ishr', ('ishl', a
, ('imul', ('isub', 3, b
), 8)), 24),
763 'options->lower_extract_byte'),
765 (('extract_u8', a
, 'b@32'),
766 ('iand', ('ushr', a
, ('imul', b
, 8)), 0xff),
767 'options->lower_extract_byte'),
769 (('extract_i16', a
, 'b@32'),
770 ('ishr', ('ishl', a
, ('imul', ('isub', 1, b
), 16)), 16),
771 'options->lower_extract_word'),
773 (('extract_u16', a
, 'b@32'),
774 ('iand', ('ushr', a
, ('imul', b
, 16)), 0xffff),
775 'options->lower_extract_word'),
777 (('pack_unorm_2x16', 'v'),
778 ('pack_uvec2_to_uint',
779 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
780 'options->lower_pack_unorm_2x16'),
782 (('pack_unorm_4x8', 'v'),
783 ('pack_uvec4_to_uint',
784 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
785 'options->lower_pack_unorm_4x8'),
787 (('pack_snorm_2x16', 'v'),
788 ('pack_uvec2_to_uint',
789 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
790 'options->lower_pack_snorm_2x16'),
792 (('pack_snorm_4x8', 'v'),
793 ('pack_uvec4_to_uint',
794 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
795 'options->lower_pack_snorm_4x8'),
797 (('unpack_unorm_2x16', 'v'),
798 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
799 ('extract_u16', 'v', 1))),
801 'options->lower_unpack_unorm_2x16'),
803 (('unpack_unorm_4x8', 'v'),
804 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
805 ('extract_u8', 'v', 1),
806 ('extract_u8', 'v', 2),
807 ('extract_u8', 'v', 3))),
809 'options->lower_unpack_unorm_4x8'),
811 (('unpack_snorm_2x16', 'v'),
812 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
813 ('extract_i16', 'v', 1))),
815 'options->lower_unpack_snorm_2x16'),
817 (('unpack_snorm_4x8', 'v'),
818 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
819 ('extract_i8', 'v', 1),
820 ('extract_i8', 'v', 2),
821 ('extract_i8', 'v', 3))),
823 'options->lower_unpack_snorm_4x8'),
825 (('isign', a
), ('imin', ('imax', a
, -1), 1), 'options->lower_isign'),
828 # bit_size dependent lowerings
829 for bit_size
in [8, 16, 32, 64]:
830 # convenience constants
831 intmax
= (1 << (bit_size
- 1)) - 1
832 intmin
= 1 << (bit_size
- 1)
835 (('iadd_sat@' + str(bit_size
), a
, b
),
836 ('bcsel', ('ige', b
, 1), ('bcsel', ('ilt', ('iadd', a
, b
), a
), intmax
, ('iadd', a
, b
)),
837 ('bcsel', ('ilt', a
, ('iadd', a
, b
)), intmin
, ('iadd', a
, b
))), 'options->lower_add_sat'),
838 (('isub_sat@' + str(bit_size
), a
, b
),
839 ('bcsel', ('ilt', b
, 0), ('bcsel', ('ilt', ('isub', a
, b
), a
), intmax
, ('isub', a
, b
)),
840 ('bcsel', ('ilt', a
, ('isub', a
, b
)), intmin
, ('isub', a
, b
))), 'options->lower_add_sat'),
843 invert
= OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
845 for left
, right
in itertools
.combinations_with_replacement(invert
.keys(), 2):
846 optimizations
.append((('inot', ('ior(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
847 ('iand', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
848 optimizations
.append((('inot', ('iand(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
849 ('ior', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
851 # Optimize x2bN(b2x(x)) -> x
852 for size
in type_sizes('bool'):
853 aN
= 'a@' + str(size
)
854 f2bN
= 'f2b' + str(size
)
855 i2bN
= 'i2b' + str(size
)
856 optimizations
.append(((f2bN
, ('b2f', aN
)), a
))
857 optimizations
.append(((i2bN
, ('b2i', aN
)), a
))
859 # Optimize x2yN(b2x(x)) -> b2y
860 for x
, y
in itertools
.product(['f', 'u', 'i'], ['f', 'u', 'i']):
861 if x
!= 'f' and y
!= 'f' and x
!= y
:
864 b2x
= 'b2f' if x
== 'f' else 'b2i'
865 b2y
= 'b2f' if y
== 'f' else 'b2i'
866 x2yN
= '{}2{}'.format(x
, y
)
867 optimizations
.append(((x2yN
, (b2x
, a
)), (b2y
, a
)))
869 def fexp2i(exp
, bits
):
870 # We assume that exp is already in the right range.
872 return ('i2i16', ('ishl', ('iadd', exp
, 15), 10))
874 return ('ishl', ('iadd', exp
, 127), 23)
876 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp
, 1023), 20))
880 def ldexp(f
, exp
, bits
):
881 # First, we clamp exp to a reasonable range. The maximum possible range
882 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
883 # a maximum range of [-149, 127]. This means that we can potentially have
884 # a swing of +-276. If you start with FLT_MAX, you actually have to do
885 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
886 # spec, on the other hand, only requires that we handle an exponent value
887 # in the range [-126, 128]. This implementation is *mostly* correct; it
888 # handles a range on exp of [-252, 254] which allows you to create any
889 # value (including denorms if the hardware supports it) and to adjust the
890 # exponent of any normal value to anything you want.
892 exp
= ('imin', ('imax', exp
, -28), 30)
894 exp
= ('imin', ('imax', exp
, -252), 254)
896 exp
= ('imin', ('imax', exp
, -2044), 2046)
900 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
901 # (We use ishr which isn't the same for -1, but the -1 case still works
902 # since we use exp-exp/2 as the second exponent.) While the spec
903 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
904 # work with denormals and doesn't allow for the full swing in exponents
905 # that you can get with normalized values. Instead, we create two powers
906 # of two and multiply by them each in turn. That way the effective range
907 # of our exponent is doubled.
908 pow2_1
= fexp2i(('ishr', exp
, 1), bits
)
909 pow2_2
= fexp2i(('isub', exp
, ('ishr', exp
, 1)), bits
)
910 return ('fmul', ('fmul', f
, pow2_1
), pow2_2
)
913 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
914 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
915 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
918 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
919 def bitfield_reverse(u
):
920 step1
= ('ior', ('ishl', u
, 16), ('ushr', u
, 16))
921 step2
= ('ior', ('ishl', ('iand', step1
, 0x00ff00ff), 8), ('ushr', ('iand', step1
, 0xff00ff00), 8))
922 step3
= ('ior', ('ishl', ('iand', step2
, 0x0f0f0f0f), 4), ('ushr', ('iand', step2
, 0xf0f0f0f0), 4))
923 step4
= ('ior', ('ishl', ('iand', step3
, 0x33333333), 2), ('ushr', ('iand', step3
, 0xcccccccc), 2))
924 step5
= ('ior', ('ishl', ('iand', step4
, 0x55555555), 1), ('ushr', ('iand', step4
, 0xaaaaaaaa), 1))
928 optimizations
+= [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
930 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
931 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
932 # and, if a is a NaN then the second comparison will fail anyway.
933 for op
in ['flt', 'fge', 'feq']:
935 (('iand', ('feq', a
, a
), (op
, a
, b
)), (op
, a
, b
)),
936 (('iand', ('feq', a
, a
), (op
, b
, a
)), (op
, b
, a
)),
939 # Add optimizations to handle the case where the result of a ternary is
940 # compared to a constant. This way we can take things like
946 # a ? (0 > 0) : (1 > 0)
948 # which constant folding will eat for lunch. The resulting ternary will
949 # further get cleaned up by the boolean reductions above and we will be
950 # left with just the original variable "a".
951 for op
in ['flt', 'fge', 'feq', 'fne',
952 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
954 ((op
, ('bcsel', 'a', '#b', '#c'), '#d'),
955 ('bcsel', 'a', (op
, 'b', 'd'), (op
, 'c', 'd'))),
956 ((op
, '#d', ('bcsel', a
, '#b', '#c')),
957 ('bcsel', 'a', (op
, 'd', 'b'), (op
, 'd', 'c'))),
961 # For example, this converts things like
963 # 1 + mix(0, a - 1, condition)
967 # mix(1, (a-1)+1, condition)
969 # Other optimizations will rearrange the constants.
970 for op
in ['fadd', 'fmul', 'iadd', 'imul']:
972 ((op
, ('bcsel(is_used_once)', a
, '#b', c
), '#d'), ('bcsel', a
, (op
, b
, d
), (op
, c
, d
)))
975 # This section contains "late" optimizations that should be run before
976 # creating ffmas and calling regular optimizations for the final time.
977 # Optimizations should go here if they help code generation and conflict
978 # with the regular optimizations.
979 before_ffma_optimizations
= [
980 # Propagate constants down multiplication chains
981 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a
, c
), b
)),
982 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a
, c
), b
)),
983 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a
, c
), b
)),
984 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a
, c
), b
)),
986 (('~fadd', ('fmul', a
, b
), ('fmul', a
, c
)), ('fmul', a
, ('fadd', b
, c
))),
987 (('iadd', ('imul', a
, b
), ('imul', a
, c
)), ('imul', a
, ('iadd', b
, c
))),
988 (('~fadd', ('fneg', a
), a
), 0.0),
989 (('iadd', ('ineg', a
), a
), 0),
990 (('iadd', ('ineg', a
), ('iadd', a
, b
)), b
),
991 (('iadd', a
, ('iadd', ('ineg', a
), b
)), b
),
992 (('~fadd', ('fneg', a
), ('fadd', a
, b
)), b
),
993 (('~fadd', a
, ('fadd', ('fneg', a
), b
)), b
),
996 # This section contains "late" optimizations that should be run after the
997 # regular optimizations have finished. Optimizations should go here if
998 # they help code generation but do not necessarily produce code that is
999 # more easily optimizable.
1000 late_optimizations
= [
1001 # Most of these optimizations aren't quite safe when you get infinity or
1002 # Nan involved but the first one should be fine.
1003 (('flt', ('fadd', a
, b
), 0.0), ('flt', a
, ('fneg', b
))),
1004 (('flt', ('fneg', ('fadd', a
, b
)), 0.0), ('flt', ('fneg', a
), b
)),
1005 (('~fge', ('fadd', a
, b
), 0.0), ('fge', a
, ('fneg', b
))),
1006 (('~fge', ('fneg', ('fadd', a
, b
)), 0.0), ('fge', ('fneg', a
), b
)),
1007 (('~feq', ('fadd', a
, b
), 0.0), ('feq', a
, ('fneg', b
))),
1008 (('~fne', ('fadd', a
, b
), 0.0), ('fne', a
, ('fneg', b
))),
1010 (('~fge', ('fmin(is_used_once)', ('fadd(is_used_once)', a
, b
), ('fadd', c
, d
)), 0.0), ('iand', ('fge', a
, ('fneg', b
)), ('fge', c
, ('fneg', d
)))),
1012 (('fdot2', a
, b
), ('fdot_replicated2', a
, b
), 'options->fdot_replicates'),
1013 (('fdot3', a
, b
), ('fdot_replicated3', a
, b
), 'options->fdot_replicates'),
1014 (('fdot4', a
, b
), ('fdot_replicated4', a
, b
), 'options->fdot_replicates'),
1015 (('fdph', a
, b
), ('fdph_replicated', a
, b
), 'options->fdot_replicates'),
1017 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a
, 0.0, 1.0)),
1018 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a
, -0.0, -1.0)),
1020 # we do these late so that we don't get in the way of creating ffmas
1021 (('fmin', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmin', a
, b
))),
1022 (('fmax', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmax', a
, b
))),
1024 (('bcsel', a
, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a
, b
)))),
1027 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic", optimizations
).render())
1028 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_before_ffma",
1029 before_ffma_optimizations
).render())
1030 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_late",
1031 late_optimizations
).render())
projects / mesa.git / blob