nir/algebraic: add lowering for fsign
[mesa.git] / src / compiler / nir / nir_opt_algebraic.py
1 #
2 # Copyright (C) 2014 Intel Corporation
3 #
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:
10 #
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
13 # Software.
14 #
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
21 # IN THE SOFTWARE.
22 #
23 # Authors:
24 # Jason Ekstrand (jason@jlekstrand.net)
25
26 from __future__ import print_function
27
28 from collections import OrderedDict
29 import nir_algebraic
30 from nir_opcodes import type_sizes
31 import itertools
32
33 # Convenience variables
34 a = 'a'
35 b = 'b'
36 c = 'c'
37 d = 'd'
38 e = 'e'
39
40 # Written in the form (<search>, <replace>) where <search> is an expression
41 # and <replace> is either an expression or a value. An expression is
42 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
43 # where each source is either an expression or a value. A value can be
44 # either a numeric constant or a string representing a variable name.
45 #
46 # If the opcode in a search expression is prefixed by a '~' character, this
47 # indicates that the operation is inexact. Such operations will only get
48 # applied to SSA values that do not have the exact bit set. This should be
49 # used by by any optimizations that are not bit-for-bit exact. It should not,
50 # however, be used for backend-requested lowering operations as those need to
51 # happen regardless of precision.
52 #
53 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
54 # that the given variable will only match constants and the type indicates that
55 # the given variable will only match values from ALU instructions with the
56 # given output type, and (cond) specifies an additional condition function
57 # (see nir_search_helpers.h).
58 #
59 # For constants, you have to be careful to make sure that it is the right
60 # type because python is unaware of the source and destination types of the
61 # opcodes.
62 #
63 # All expression types can have a bit-size specified. For opcodes, this
64 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
65 # type and size. In the search half of the expression this indicates that it
66 # should only match that particular bit-size. In the replace half of the
67 # expression this indicates that the constructed value should have that
68 # bit-size.
69
70 optimizations = [
71
72 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b))),
73 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b))))),
74 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
75 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
76 (('imul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('imul_high', a, b)), 'options->lower_mul_2x32_64'),
77 (('umul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('umul_high', a, b)), 'options->lower_mul_2x32_64'),
78 (('udiv', a, 1), a),
79 (('idiv', a, 1), a),
80 (('umod', a, 1), 0),
81 (('imod', a, 1), 0),
82 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b))),
83 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
84 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
85 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
86
87 (('fneg', ('fneg', a)), a),
88 (('ineg', ('ineg', a)), a),
89 (('fabs', ('fabs', a)), ('fabs', a)),
90 (('fabs', ('fneg', a)), ('fabs', a)),
91 (('fabs', ('u2f', a)), ('u2f', a)),
92 (('iabs', ('iabs', a)), ('iabs', a)),
93 (('iabs', ('ineg', a)), ('iabs', a)),
94 (('f2b', ('fneg', a)), ('f2b', a)),
95 (('i2b', ('ineg', a)), ('i2b', a)),
96 (('~fadd', a, 0.0), a),
97 (('iadd', a, 0), a),
98 (('usadd_4x8', a, 0), a),
99 (('usadd_4x8', a, ~0), ~0),
100 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
101 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
102 (('~fadd', ('fneg', a), a), 0.0),
103 (('iadd', ('ineg', a), a), 0),
104 (('iadd', ('ineg', a), ('iadd', a, b)), b),
105 (('iadd', a, ('iadd', ('ineg', a), b)), b),
106 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
107 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
108 (('~fmul', a, 0.0), 0.0),
109 (('imul', a, 0), 0),
110 (('umul_unorm_4x8', a, 0), 0),
111 (('umul_unorm_4x8', a, ~0), a),
112 (('fmul', a, 1.0), a),
113 (('imul', a, 1), a),
114 (('fmul', a, -1.0), ('fneg', a)),
115 (('imul', a, -1), ('ineg', 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 => 1*a*a => a*a => abs(a)*a
118 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
119 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
120 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
121 (('~ffma', 0.0, a, b), b),
122 (('~ffma', a, 0.0, b), b),
123 (('~ffma', a, b, 0.0), ('fmul', a, b)),
124 (('ffma', a, 1.0, b), ('fadd', a, b)),
125 (('ffma', 1.0, a, b), ('fadd', a, b)),
126 (('~flrp', a, b, 0.0), a),
127 (('~flrp', a, b, 1.0), b),
128 (('~flrp', a, a, b), a),
129 (('~flrp', 0.0, a, b), ('fmul', a, b)),
130 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
131 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
132 (('flrp@16', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp16'),
133 (('flrp@32', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp32'),
134 (('flrp@64', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp64'),
135 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
136 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
137 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
138 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
139 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
140 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
141 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
142 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
143 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
144 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
145 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
146 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
147 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
148
149 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
150 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
151
152 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
153 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
154 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
155 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
156
157 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
158 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
159
160 # (a * #b + #c) << #d
161 # ((a * #b) << #d) + (#c << #d)
162 # (a * (#b << #d)) + (#c << #d)
163 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
164 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
165
166 # (a * #b) << #c
167 # a * (#b << #c)
168 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
169
170 # Comparison simplifications
171 (('~inot', ('flt', a, b)), ('fge', a, b)),
172 (('~inot', ('fge', a, b)), ('flt', a, b)),
173 (('~inot', ('feq', a, b)), ('fne', a, b)),
174 (('~inot', ('fne', a, b)), ('feq', a, b)),
175 (('inot', ('ilt', a, b)), ('ige', a, b)),
176 (('inot', ('ult', a, b)), ('uge', a, b)),
177 (('inot', ('ige', a, b)), ('ilt', a, b)),
178 (('inot', ('uge', a, b)), ('ult', a, b)),
179 (('inot', ('ieq', a, b)), ('ine', a, b)),
180 (('inot', ('ine', a, b)), ('ieq', a, b)),
181
182 # 0.0 >= b2f(a)
183 # b2f(a) <= 0.0
184 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
185 # inot(a)
186 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
187
188 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
189
190 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
191 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
192 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
193 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
194 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
195 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
196 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
197 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
198 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
199 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
200 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
201 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
202 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
203 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
204 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
205 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
206 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
207 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
208 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
209 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
210
211 # -(b2f(a) + b2f(b)) < 0
212 # 0 < b2f(a) + b2f(b)
213 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
214 # a || b
215 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
216 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
217
218 # -(b2f(a) + b2f(b)) >= 0
219 # 0 >= b2f(a) + b2f(b)
220 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
221 # !(a || b)
222 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
223 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
224
225 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
226 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
227
228 # Some optimizations (below) convert things like (a < b || c < b) into
229 # (min(a, c) < b). However, this interfers with the previous optimizations
230 # that try to remove comparisons with negated sums of b2f. This just
231 # breaks that apart.
232 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
233 ('ior', ('flt', c, 0.0), ('ior', a, b))),
234
235 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
236 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
237 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
238 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
239
240 # Cannot remove the addition from ilt or ige due to overflow.
241 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
242 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
243
244 # fmin(-b2f(a), b) >= 0.0
245 # -b2f(a) >= 0.0 && b >= 0.0
246 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
247 # b2f(a) == 0.0 && b >= 0.0
248 # a == False && b >= 0.0
249 # !a && b >= 0.0
250 #
251 # The fge in the second replacement is not a typo. I leave the proof that
252 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
253 # reader.
254 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
255 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
256
257 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
258 (('fne', ('b2f', 'a@1'), 0.0), a),
259 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
260 (('ine', ('b2i', 'a@1'), 0), a),
261
262 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
263 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
264 (('fge', ('u2f', a), 0.0), True),
265 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
266 (('flt', ('u2f', a), 0.0), False),
267 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
268 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
269 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
270 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
271 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
272 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
273 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
274
275 # 0.0 < fabs(a)
276 # fabs(a) > 0.0
277 # fabs(a) != 0.0 because fabs(a) must be >= 0
278 # a != 0.0
279 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
280
281 # -fabs(a) < 0.0
282 # fabs(a) > 0.0
283 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
284
285 # 0.0 >= fabs(a)
286 # 0.0 == fabs(a) because fabs(a) must be >= 0
287 # 0.0 == a
288 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
289
290 # -fabs(a) >= 0.0
291 # 0.0 >= fabs(a)
292 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
293
294 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
295 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
296 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
297 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
298
299 # fmin(b2f(a), b)
300 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
301 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
302 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
303 #
304 # Since b is a constant, constant folding will eliminate the fmin and the
305 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
306 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
307
308 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
309
310 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
311 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
312 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
313 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
314 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
315 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
316 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
317 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
318 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
319 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
320 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
321 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
322 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
323 (('bcsel', a, True, b), ('ior', a, b)),
324 (('bcsel', a, a, b), ('ior', a, b)),
325 (('bcsel', a, b, False), ('iand', a, b)),
326 (('bcsel', a, b, a), ('iand', a, b)),
327 (('fmin', a, a), a),
328 (('fmax', a, a), a),
329 (('imin', a, a), a),
330 (('imax', a, a), a),
331 (('umin', a, a), a),
332 (('umax', a, a), a),
333 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
334 (('umax', ('umax', a, b), b), ('umax', a, b)),
335 (('imax', ('imax', a, b), b), ('imax', a, b)),
336 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
337 (('umin', ('umin', a, b), b), ('umin', a, b)),
338 (('imin', ('imin', a, b), b), ('imin', a, b)),
339 (('fmax', a, ('fneg', a)), ('fabs', a)),
340 (('imax', a, ('ineg', a)), ('iabs', a)),
341 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
342 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
343 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
344 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
345 (('fmin', a, ('fabs', a)), a),
346 (('imin', a, ('iabs', a)), a),
347 (('fmax', a, ('fneg', ('fabs', a))), a),
348 (('imax', a, ('ineg', ('iabs', a))), a),
349 (('fmax', a, ('fabs', a)), ('fabs', a)),
350 (('imax', a, ('iabs', a)), ('iabs', a)),
351 (('fmax', a, ('fneg', a)), ('fabs', a)),
352 (('imax', a, ('ineg', a)), ('iabs', a)),
353 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
354 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
355 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
356 (('fsat', ('b2f', a)), ('b2f', a)),
357 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
358 (('fsat', ('fsat', a)), ('fsat', a)),
359 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
360 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
361 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
362 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
363 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
364 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
365 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
366 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
367 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
368 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
369 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
370 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
371 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
372 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
373 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
374 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
375 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
376 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
377 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
378 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
379 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
380 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
381
382 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
383 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
384 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
385 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
386 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
387 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
388 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
389 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
390 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
391 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
392 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
393 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
394 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
395 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
396 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
397 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
398
399 # Common pattern like 'if (i == 0 || i == 1 || ...)'
400 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
401 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
402 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
403
404 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
405 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
406 # so emit an open-coded version of that.
407 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
408 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
409
410 (('ior', a, ('ieq', a, False)), True),
411 (('ior', a, ('inot', a)), -1),
412
413 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
414 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
415
416 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
417
418 # These patterns can result when (a < b || a < c) => (a < min(b, c))
419 # transformations occur before constant propagation and loop-unrolling.
420 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
421 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
422 (('~fge', a, ('fmin', b, a)), True),
423 (('~fge', ('fmax', a, b), a), True),
424 (('~flt', a, ('fmin', b, a)), False),
425 (('~flt', ('fmax', a, b), a), False),
426 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
427 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
428
429 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
430 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
431 (('ige', a, ('imin', b, a)), True),
432 (('ige', ('imax', a, b), a), True),
433 (('ult', a, ('umax', b, a)), ('ult', a, b)),
434 (('ult', ('umin', a, b), a), ('ult', b, a)),
435 (('uge', a, ('umin', b, a)), True),
436 (('uge', ('umax', a, b), a), True),
437 (('ilt', a, ('imin', b, a)), False),
438 (('ilt', ('imax', a, b), a), False),
439 (('ige', a, ('imax', b, a)), ('ige', a, b)),
440 (('ige', ('imin', a, b), a), ('ige', b, a)),
441 (('ult', a, ('umin', b, a)), False),
442 (('ult', ('umax', a, b), a), False),
443 (('uge', a, ('umax', b, a)), ('uge', a, b)),
444 (('uge', ('umin', a, b), a), ('uge', b, a)),
445
446 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
447 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
448 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
449 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
450 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
451 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
452 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
453 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
454 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
455 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
456 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
457 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
458 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
459 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
460 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
461 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
462
463 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
464 # negative.
465 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
466 ('iabs', ('ishr', a, b))),
467 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
468
469 (('fabs', ('slt', a, b)), ('slt', a, b)),
470 (('fabs', ('sge', a, b)), ('sge', a, b)),
471 (('fabs', ('seq', a, b)), ('seq', a, b)),
472 (('fabs', ('sne', a, b)), ('sne', a, b)),
473 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
474 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
475 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
476 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
477 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
478 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
479 # Emulating booleans
480 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
481 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
482 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
483 (('iand', 'a@bool32', 1.0), ('b2f', a)),
484 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
485 (('ineg', ('b2i32', 'a@32')), a),
486 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
487 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
488 # Comparison with the same args. Note that these are not done for
489 # the float versions because NaN always returns false on float
490 # inequalities.
491 (('ilt', a, a), False),
492 (('ige', a, a), True),
493 (('ieq', a, a), True),
494 (('ine', a, a), False),
495 (('ult', a, a), False),
496 (('uge', a, a), True),
497 # Logical and bit operations
498 (('fand', a, 0.0), 0.0),
499 (('iand', a, a), a),
500 (('iand', a, ~0), a),
501 (('iand', a, 0), 0),
502 (('ior', a, a), a),
503 (('ior', a, 0), a),
504 (('ior', a, True), True),
505 (('fxor', a, a), 0.0),
506 (('ixor', a, a), 0),
507 (('ixor', a, 0), a),
508 (('inot', ('inot', a)), a),
509 (('ior', ('iand', a, b), b), b),
510 (('ior', ('ior', a, b), b), ('ior', a, b)),
511 (('iand', ('ior', a, b), b), b),
512 (('iand', ('iand', a, b), b), ('iand', a, b)),
513 # DeMorgan's Laws
514 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
515 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
516 # Shift optimizations
517 (('ishl', 0, a), 0),
518 (('ishl', a, 0), a),
519 (('ishr', 0, a), 0),
520 (('ishr', a, 0), a),
521 (('ushr', 0, a), 0),
522 (('ushr', a, 0), a),
523 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
524 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
525 # Exponential/logarithmic identities
526 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
527 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
528 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
529 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
530 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
531 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
532 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
533 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
534 (('~fpow', a, 1.0), a),
535 (('~fpow', a, 2.0), ('fmul', a, a)),
536 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
537 (('~fpow', 2.0, a), ('fexp2', a)),
538 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
539 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
540 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
541 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
542 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
543 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
544 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
545 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
546 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
547 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
548 # Division and reciprocal
549 (('~fdiv', 1.0, a), ('frcp', a)),
550 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
551 (('~frcp', ('frcp', a)), a),
552 (('~frcp', ('fsqrt', a)), ('frsq', a)),
553 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
554 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
555 # Boolean simplifications
556 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
557 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
558 (('ieq', a, True), a),
559 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
560 (('ine', a, False), a),
561 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
562 (('bcsel', a, True, False), a),
563 (('bcsel', a, False, True), ('inot', a)),
564 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
565 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
566 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
567 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
568 (('bcsel', True, b, c), b),
569 (('bcsel', False, b, c), c),
570 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
571 # The result of this should be hit by constant propagation and, in the
572 # next round of opt_algebraic, get picked up by one of the above two.
573 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
574
575 (('bcsel', a, b, b), b),
576 (('fcsel', a, b, b), b),
577
578 # D3D Boolean emulation
579 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
580 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
581 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
582 ('ineg', ('b2i', ('iand', a, b)))),
583 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
584 ('ineg', ('b2i', ('ior', a, b)))),
585 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
586 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
587 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
588 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
589 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
590
591 # SM5 32-bit shifts are defined to use the 5 least significant bits
592 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
593 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
594 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
595
596 # Conversions
597 (('i2b32', ('b2i', 'a@32')), a),
598 (('f2i', ('ftrunc', a)), ('f2i', a)),
599 (('f2u', ('ftrunc', a)), ('f2u', a)),
600 (('i2b', ('ineg', a)), ('i2b', a)),
601 (('i2b', ('iabs', a)), ('i2b', a)),
602 (('fabs', ('b2f', a)), ('b2f', a)),
603 (('iabs', ('b2i', a)), ('b2i', a)),
604 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
605
606 # Ironically, mark these as imprecise because removing the conversions may
607 # preserve more precision than doing the conversions (e.g.,
608 # uint(float(0x81818181u)) == 0x81818200).
609 (('~f2i32', ('i2f', 'a@32')), a),
610 (('~f2i32', ('u2f', 'a@32')), a),
611 (('~f2u32', ('i2f', 'a@32')), a),
612 (('~f2u32', ('u2f', 'a@32')), a),
613
614 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
615 # says:
616 #
617 # It is undefined to convert a negative floating-point value to an
618 # uint.
619 #
620 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
621 # some optimizations in the i965 backend to proceed.
622 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
623 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
624 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
625 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
626
627 # Packing and then unpacking does nothing
628 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
629 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
630 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
631 ('unpack_64_2x32_split_y', a)), a),
632
633 # Byte extraction
634 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
635 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
636 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
637 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
638 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
639 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
640 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
641 ]
642
643 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
644 # patterns like those below.
645 for op in ('ushr', 'ishr'):
646 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
647 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
648 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
649
650 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
651
652 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
653 # patterns like those below.
654 for op in ('extract_u8', 'extract_i8'):
655 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
656 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
657 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
658
659 optimizations.extend([
660 # Word extraction
661 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
662 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
663 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
664 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
665 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
666
667 # Subtracts
668 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
669 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
670 (('ussub_4x8', a, 0), a),
671 (('ussub_4x8', a, ~0), 0),
672 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
673 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
674 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
675 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
676 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
677 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
678 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
679 (('iabs', ('isub', 0, a)), ('iabs', a)),
680
681 # Propagate negation up multiplication chains
682 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
683 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
684
685 # Propagate constants up multiplication chains
686 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
687 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
688 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
689 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
690
691 # Reassociate constants in add/mul chains so they can be folded together.
692 # For now, we mostly only handle cases where the constants are separated by
693 # a single non-constant. We could do better eventually.
694 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
695 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
696 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
697 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
698 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
699
700 # By definition...
701 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
702 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
703 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
704
705 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
706 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
707 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
708
709 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
710
711 # Misc. lowering
712 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod16'),
713 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
714 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
715 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
716 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
717 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
718
719 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
720 ('bcsel', ('ilt', 31, 'bits'), 'insert',
721 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
722 'options->lower_bitfield_insert'),
723 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
724 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
725 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
726 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
727 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
728 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
729
730 # Alternative lowering that doesn't rely on bfi.
731 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
732 ('bcsel', ('ilt', 31, 'bits'),
733 'insert',
734 ('ior',
735 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
736 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
737 'options->lower_bitfield_insert_to_shifts'),
738
739 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
740 (('bfm', 'bits', 'offset'),
741 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
742 'options->lower_bfm'),
743
744 (('ibitfield_extract', 'value', 'offset', 'bits'),
745 ('bcsel', ('ilt', 31, 'bits'), 'value',
746 ('ibfe', 'value', 'offset', 'bits')),
747 'options->lower_bitfield_extract'),
748
749 (('ubitfield_extract', 'value', 'offset', 'bits'),
750 ('bcsel', ('ult', 31, 'bits'), 'value',
751 ('ubfe', 'value', 'offset', 'bits')),
752 'options->lower_bitfield_extract'),
753
754 (('ibitfield_extract', 'value', 'offset', 'bits'),
755 ('bcsel', ('ieq', 0, 'bits'),
756 0,
757 ('ishr',
758 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
759 ('isub', 32, 'bits'))),
760 'options->lower_bitfield_extract_to_shifts'),
761
762 (('ubitfield_extract', 'value', 'offset', 'bits'),
763 ('iand',
764 ('ushr', 'value', 'offset'),
765 ('bcsel', ('ieq', 'bits', 32),
766 0xffffffff,
767 ('bfm', 'bits', 0))),
768 'options->lower_bitfield_extract_to_shifts'),
769
770 (('ifind_msb', 'value'),
771 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
772 'options->lower_ifind_msb'),
773
774 (('find_lsb', 'value'),
775 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
776 'options->lower_find_lsb'),
777
778 (('extract_i8', a, 'b@32'),
779 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
780 'options->lower_extract_byte'),
781
782 (('extract_u8', a, 'b@32'),
783 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
784 'options->lower_extract_byte'),
785
786 (('extract_i16', a, 'b@32'),
787 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
788 'options->lower_extract_word'),
789
790 (('extract_u16', a, 'b@32'),
791 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
792 'options->lower_extract_word'),
793
794 (('pack_unorm_2x16', 'v'),
795 ('pack_uvec2_to_uint',
796 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
797 'options->lower_pack_unorm_2x16'),
798
799 (('pack_unorm_4x8', 'v'),
800 ('pack_uvec4_to_uint',
801 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
802 'options->lower_pack_unorm_4x8'),
803
804 (('pack_snorm_2x16', 'v'),
805 ('pack_uvec2_to_uint',
806 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
807 'options->lower_pack_snorm_2x16'),
808
809 (('pack_snorm_4x8', 'v'),
810 ('pack_uvec4_to_uint',
811 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
812 'options->lower_pack_snorm_4x8'),
813
814 (('unpack_unorm_2x16', 'v'),
815 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
816 ('extract_u16', 'v', 1))),
817 65535.0),
818 'options->lower_unpack_unorm_2x16'),
819
820 (('unpack_unorm_4x8', 'v'),
821 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
822 ('extract_u8', 'v', 1),
823 ('extract_u8', 'v', 2),
824 ('extract_u8', 'v', 3))),
825 255.0),
826 'options->lower_unpack_unorm_4x8'),
827
828 (('unpack_snorm_2x16', 'v'),
829 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
830 ('extract_i16', 'v', 1))),
831 32767.0))),
832 'options->lower_unpack_snorm_2x16'),
833
834 (('unpack_snorm_4x8', 'v'),
835 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
836 ('extract_i8', 'v', 1),
837 ('extract_i8', 'v', 2),
838 ('extract_i8', 'v', 3))),
839 127.0))),
840 'options->lower_unpack_snorm_4x8'),
841
842 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
843 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
844 ])
845
846 # bit_size dependent lowerings
847 for bit_size in [8, 16, 32, 64]:
848 # convenience constants
849 intmax = (1 << (bit_size - 1)) - 1
850 intmin = 1 << (bit_size - 1)
851
852 optimizations += [
853 (('iadd_sat@' + str(bit_size), a, b),
854 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
855 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
856 (('isub_sat@' + str(bit_size), a, b),
857 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
858 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
859 ]
860
861 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
862
863 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
864 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
865 ('iand', (invert[left], a, b), (invert[right], c, d))))
866 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
867 ('ior', (invert[left], a, b), (invert[right], c, d))))
868
869 # Optimize x2bN(b2x(x)) -> x
870 for size in type_sizes('bool'):
871 aN = 'a@' + str(size)
872 f2bN = 'f2b' + str(size)
873 i2bN = 'i2b' + str(size)
874 optimizations.append(((f2bN, ('b2f', aN)), a))
875 optimizations.append(((i2bN, ('b2i', aN)), a))
876
877 # Optimize x2yN(b2x(x)) -> b2y
878 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
879 if x != 'f' and y != 'f' and x != y:
880 continue
881
882 b2x = 'b2f' if x == 'f' else 'b2i'
883 b2y = 'b2f' if y == 'f' else 'b2i'
884 x2yN = '{}2{}'.format(x, y)
885 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
886
887 def fexp2i(exp, bits):
888 # We assume that exp is already in the right range.
889 if bits == 16:
890 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
891 elif bits == 32:
892 return ('ishl', ('iadd', exp, 127), 23)
893 elif bits == 64:
894 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
895 else:
896 assert False
897
898 def ldexp(f, exp, bits):
899 # First, we clamp exp to a reasonable range. The maximum possible range
900 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
901 # a maximum range of [-149, 127]. This means that we can potentially have
902 # a swing of +-276. If you start with FLT_MAX, you actually have to do
903 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
904 # spec, on the other hand, only requires that we handle an exponent value
905 # in the range [-126, 128]. This implementation is *mostly* correct; it
906 # handles a range on exp of [-252, 254] which allows you to create any
907 # value (including denorms if the hardware supports it) and to adjust the
908 # exponent of any normal value to anything you want.
909 if bits == 16:
910 exp = ('imin', ('imax', exp, -28), 30)
911 elif bits == 32:
912 exp = ('imin', ('imax', exp, -252), 254)
913 elif bits == 64:
914 exp = ('imin', ('imax', exp, -2044), 2046)
915 else:
916 assert False
917
918 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
919 # (We use ishr which isn't the same for -1, but the -1 case still works
920 # since we use exp-exp/2 as the second exponent.) While the spec
921 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
922 # work with denormals and doesn't allow for the full swing in exponents
923 # that you can get with normalized values. Instead, we create two powers
924 # of two and multiply by them each in turn. That way the effective range
925 # of our exponent is doubled.
926 pow2_1 = fexp2i(('ishr', exp, 1), bits)
927 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
928 return ('fmul', ('fmul', f, pow2_1), pow2_2)
929
930 optimizations += [
931 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
932 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
933 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
934 ]
935
936 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
937 def bitfield_reverse(u):
938 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
939 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
940 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
941 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
942 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
943
944 return step5
945
946 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
947
948 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
949 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
950 # and, if a is a NaN then the second comparison will fail anyway.
951 for op in ['flt', 'fge', 'feq']:
952 optimizations += [
953 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
954 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
955 ]
956
957 # Add optimizations to handle the case where the result of a ternary is
958 # compared to a constant. This way we can take things like
959 #
960 # (a ? 0 : 1) > 0
961 #
962 # and turn it into
963 #
964 # a ? (0 > 0) : (1 > 0)
965 #
966 # which constant folding will eat for lunch. The resulting ternary will
967 # further get cleaned up by the boolean reductions above and we will be
968 # left with just the original variable "a".
969 for op in ['flt', 'fge', 'feq', 'fne',
970 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
971 optimizations += [
972 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
973 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
974 ((op, '#d', ('bcsel', a, '#b', '#c')),
975 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
976 ]
977
978
979 # For example, this converts things like
980 #
981 # 1 + mix(0, a - 1, condition)
982 #
983 # into
984 #
985 # mix(1, (a-1)+1, condition)
986 #
987 # Other optimizations will rearrange the constants.
988 for op in ['fadd', 'fmul', 'iadd', 'imul']:
989 optimizations += [
990 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
991 ]
992
993 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
994 # states:
995 #
996 # If neither layout qualifier is specified, derivatives in compute shaders
997 # return zero, which is consistent with the handling of built-in texture
998 # functions like texture() in GLSL 4.50 compute shaders.
999 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1000 'fddy', 'fddy_fine', 'fddy_coarse']:
1001 optimizations += [
1002 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1003 ]
1004
1005 # This section contains "late" optimizations that should be run before
1006 # creating ffmas and calling regular optimizations for the final time.
1007 # Optimizations should go here if they help code generation and conflict
1008 # with the regular optimizations.
1009 before_ffma_optimizations = [
1010 # Propagate constants down multiplication chains
1011 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1012 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1013 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1014 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1015
1016 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1017 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1018 (('~fadd', ('fneg', a), a), 0.0),
1019 (('iadd', ('ineg', a), a), 0),
1020 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1021 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1022 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1023 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1024 ]
1025
1026 # This section contains "late" optimizations that should be run after the
1027 # regular optimizations have finished. Optimizations should go here if
1028 # they help code generation but do not necessarily produce code that is
1029 # more easily optimizable.
1030 late_optimizations = [
1031 # Most of these optimizations aren't quite safe when you get infinity or
1032 # Nan involved but the first one should be fine.
1033 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1034 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1035 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1036 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1037 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1038 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1039
1040 (('~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)))),
1041
1042 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1043 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1044 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1045 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1046
1047 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a, 0.0, 1.0)),
1048 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a, -0.0, -1.0)),
1049
1050 # we do these late so that we don't get in the way of creating ffmas
1051 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1052 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1053
1054 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1055 ]
1056
1057 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1058 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1059 before_ffma_optimizations).render())
1060 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1061 late_optimizations).render())