nir: Mark ffma as 2src_commutative
[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, b, 0.0), ('fmul', a, b)),
123 (('ffma', 1.0, a, b), ('fadd', a, b)),
124 (('~flrp', a, b, 0.0), a),
125 (('~flrp', a, b, 1.0), b),
126 (('~flrp', a, a, b), a),
127 (('~flrp', 0.0, a, b), ('fmul', a, b)),
128
129 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
130 (('~flrp', a, ('fadd(is_used_once)', a, b), c), ('fadd', ('fmul', b, c), a)),
131 (('~flrp@32', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp32'),
132 (('~flrp@64', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp64'),
133
134 (('~flrp@32', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp32'),
135 (('~flrp@64', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp64'),
136
137 (('~flrp@32', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp32'),
138 (('~flrp@64', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp64'),
139
140 (('~flrp', ('fmul(is_used_once)', a, b), ('fmul(is_used_once)', a, c), d), ('fmul', ('flrp', b, c, d), a)),
141
142 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
143 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
144 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
145 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
146 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
147 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
148 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
149 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
150 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
151 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
152 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
153 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
154 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
155 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
156 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
157
158 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
159 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
160
161 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
162 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
163 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
164 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
165
166 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
167 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
168
169 # (a * #b + #c) << #d
170 # ((a * #b) << #d) + (#c << #d)
171 # (a * (#b << #d)) + (#c << #d)
172 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
173 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
174
175 # (a * #b) << #c
176 # a * (#b << #c)
177 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
178
179 # Comparison simplifications
180 (('~inot', ('flt', a, b)), ('fge', a, b)),
181 (('~inot', ('fge', a, b)), ('flt', a, b)),
182 (('~inot', ('feq', a, b)), ('fne', a, b)),
183 (('~inot', ('fne', a, b)), ('feq', a, b)),
184 (('inot', ('ilt', a, b)), ('ige', a, b)),
185 (('inot', ('ult', a, b)), ('uge', a, b)),
186 (('inot', ('ige', a, b)), ('ilt', a, b)),
187 (('inot', ('uge', a, b)), ('ult', a, b)),
188 (('inot', ('ieq', a, b)), ('ine', a, b)),
189 (('inot', ('ine', a, b)), ('ieq', a, b)),
190
191 # 0.0 >= b2f(a)
192 # b2f(a) <= 0.0
193 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
194 # inot(a)
195 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
196
197 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
198
199 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
200 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
201 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
202 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
203 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
204 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
205 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
206 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
207 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
208 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
209 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
210 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
211 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
212 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
213 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
214 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
215 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
216 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
217 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
218 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
219
220 # -(b2f(a) + b2f(b)) < 0
221 # 0 < b2f(a) + b2f(b)
222 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
223 # a || b
224 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
225 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
226
227 # -(b2f(a) + b2f(b)) >= 0
228 # 0 >= b2f(a) + b2f(b)
229 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
230 # !(a || b)
231 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
232 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
233
234 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
235 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
236
237 # Some optimizations (below) convert things like (a < b || c < b) into
238 # (min(a, c) < b). However, this interfers with the previous optimizations
239 # that try to remove comparisons with negated sums of b2f. This just
240 # breaks that apart.
241 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
242 ('ior', ('flt', c, 0.0), ('ior', a, b))),
243
244 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
245 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
246 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
247 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
248
249 # Cannot remove the addition from ilt or ige due to overflow.
250 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
251 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
252
253 # fmin(-b2f(a), b) >= 0.0
254 # -b2f(a) >= 0.0 && b >= 0.0
255 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
256 # b2f(a) == 0.0 && b >= 0.0
257 # a == False && b >= 0.0
258 # !a && b >= 0.0
259 #
260 # The fge in the second replacement is not a typo. I leave the proof that
261 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
262 # reader.
263 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
264 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
265
266 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
267 (('fne', ('b2f', 'a@1'), 0.0), a),
268 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
269 (('ine', ('b2i', 'a@1'), 0), a),
270
271 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
272 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
273 (('fge', ('u2f', a), 0.0), True),
274 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
275 (('flt', ('u2f', a), 0.0), False),
276 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
277 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
278 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
279 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
280 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
281 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
282 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
283
284 # 0.0 < fabs(a)
285 # fabs(a) > 0.0
286 # fabs(a) != 0.0 because fabs(a) must be >= 0
287 # a != 0.0
288 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
289
290 # -fabs(a) < 0.0
291 # fabs(a) > 0.0
292 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
293
294 # 0.0 >= fabs(a)
295 # 0.0 == fabs(a) because fabs(a) must be >= 0
296 # 0.0 == a
297 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
298
299 # -fabs(a) >= 0.0
300 # 0.0 >= fabs(a)
301 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
302
303 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
304 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
305 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
306 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
307
308 # fmin(b2f(a), b)
309 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
310 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
311 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
312 #
313 # Since b is a constant, constant folding will eliminate the fmin and the
314 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
315 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
316
317 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
318
319 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
320 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
321 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
322 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
323 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
324 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
325 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
326 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
327 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
328 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
329 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
330 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
331 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
332 (('bcsel', a, True, b), ('ior', a, b)),
333 (('bcsel', a, a, b), ('ior', a, b)),
334 (('bcsel', a, b, False), ('iand', a, b)),
335 (('bcsel', a, b, a), ('iand', a, b)),
336 (('fmin', a, a), a),
337 (('fmax', a, a), a),
338 (('imin', a, a), a),
339 (('imax', a, a), a),
340 (('umin', a, a), a),
341 (('umax', a, a), a),
342 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
343 (('umax', ('umax', a, b), b), ('umax', a, b)),
344 (('imax', ('imax', a, b), b), ('imax', a, b)),
345 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
346 (('umin', ('umin', a, b), b), ('umin', a, b)),
347 (('imin', ('imin', a, b), b), ('imin', a, b)),
348 (('fmax', a, ('fneg', a)), ('fabs', a)),
349 (('imax', a, ('ineg', a)), ('iabs', a)),
350 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
351 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
352 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
353 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
354 (('fmin', a, ('fabs', a)), a),
355 (('imin', a, ('iabs', a)), a),
356 (('fmax', a, ('fneg', ('fabs', a))), a),
357 (('imax', a, ('ineg', ('iabs', a))), a),
358 (('fmax', a, ('fabs', a)), ('fabs', a)),
359 (('imax', a, ('iabs', a)), ('iabs', a)),
360 (('fmax', a, ('fneg', a)), ('fabs', a)),
361 (('imax', a, ('ineg', a)), ('iabs', a)),
362 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
363 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
364 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
365 (('fsat', ('b2f', a)), ('b2f', a)),
366 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
367 (('fsat', ('fsat', a)), ('fsat', a)),
368 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
369 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
370 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
371 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
372 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
373 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
374 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
375 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
376 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
377 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
378 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
379 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
380 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
381 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
382 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
383 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
384 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
385 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
386 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
387 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
388 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
389 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
390
391 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
392 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
393 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
394 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
395 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
396 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
397 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
398 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
399 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
400 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
401 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
402 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
403 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
404 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
405 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
406 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
407
408 # Common pattern like 'if (i == 0 || i == 1 || ...)'
409 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
410 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
411 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
412
413 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
414 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
415 # so emit an open-coded version of that.
416 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
417 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
418
419 (('ior', a, ('ieq', a, False)), True),
420 (('ior', a, ('inot', a)), -1),
421
422 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
423 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
424
425 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
426
427 # These patterns can result when (a < b || a < c) => (a < min(b, c))
428 # transformations occur before constant propagation and loop-unrolling.
429 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
430 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
431 (('~fge', a, ('fmin', b, a)), True),
432 (('~fge', ('fmax', a, b), a), True),
433 (('~flt', a, ('fmin', b, a)), False),
434 (('~flt', ('fmax', a, b), a), False),
435 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
436 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
437
438 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
439 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
440 (('ige', a, ('imin', b, a)), True),
441 (('ige', ('imax', a, b), a), True),
442 (('ult', a, ('umax', b, a)), ('ult', a, b)),
443 (('ult', ('umin', a, b), a), ('ult', b, a)),
444 (('uge', a, ('umin', b, a)), True),
445 (('uge', ('umax', a, b), a), True),
446 (('ilt', a, ('imin', b, a)), False),
447 (('ilt', ('imax', a, b), a), False),
448 (('ige', a, ('imax', b, a)), ('ige', a, b)),
449 (('ige', ('imin', a, b), a), ('ige', b, a)),
450 (('ult', a, ('umin', b, a)), False),
451 (('ult', ('umax', a, b), a), False),
452 (('uge', a, ('umax', b, a)), ('uge', a, b)),
453 (('uge', ('umin', a, b), a), ('uge', b, a)),
454
455 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
456 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
457 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
458 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
459 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
460 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
461 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
462 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
463 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
464 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
465 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
466 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
467 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
468 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
469 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
470 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
471
472 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
473 # negative.
474 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
475 ('iabs', ('ishr', a, b))),
476 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
477
478 (('fabs', ('slt', a, b)), ('slt', a, b)),
479 (('fabs', ('sge', a, b)), ('sge', a, b)),
480 (('fabs', ('seq', a, b)), ('seq', a, b)),
481 (('fabs', ('sne', a, b)), ('sne', a, b)),
482 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
483 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
484 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
485 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
486 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
487 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
488 # Emulating booleans
489 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
490 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
491 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
492 (('iand', 'a@bool32', 1.0), ('b2f', a)),
493 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
494 (('ineg', ('b2i32', 'a@32')), a),
495 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
496 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
497 # Comparison with the same args. Note that these are not done for
498 # the float versions because NaN always returns false on float
499 # inequalities.
500 (('ilt', a, a), False),
501 (('ige', a, a), True),
502 (('ieq', a, a), True),
503 (('ine', a, a), False),
504 (('ult', a, a), False),
505 (('uge', a, a), True),
506 # Logical and bit operations
507 (('fand', a, 0.0), 0.0),
508 (('iand', a, a), a),
509 (('iand', a, ~0), a),
510 (('iand', a, 0), 0),
511 (('ior', a, a), a),
512 (('ior', a, 0), a),
513 (('ior', a, True), True),
514 (('fxor', a, a), 0.0),
515 (('ixor', a, a), 0),
516 (('ixor', a, 0), a),
517 (('inot', ('inot', a)), a),
518 (('ior', ('iand', a, b), b), b),
519 (('ior', ('ior', a, b), b), ('ior', a, b)),
520 (('iand', ('ior', a, b), b), b),
521 (('iand', ('iand', a, b), b), ('iand', a, b)),
522 # DeMorgan's Laws
523 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
524 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
525 # Shift optimizations
526 (('ishl', 0, a), 0),
527 (('ishl', a, 0), a),
528 (('ishr', 0, a), 0),
529 (('ishr', a, 0), a),
530 (('ushr', 0, a), 0),
531 (('ushr', a, 0), a),
532 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
533 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
534 # Exponential/logarithmic identities
535 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
536 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
537 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
538 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
539 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
540 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
541 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
542 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
543 (('~fpow', a, 1.0), a),
544 (('~fpow', a, 2.0), ('fmul', a, a)),
545 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
546 (('~fpow', 2.0, a), ('fexp2', a)),
547 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
548 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
549 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
550 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
551 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
552 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
553 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
554 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
555 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
556 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
557 # Division and reciprocal
558 (('~fdiv', 1.0, a), ('frcp', a)),
559 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
560 (('~frcp', ('frcp', a)), a),
561 (('~frcp', ('fsqrt', a)), ('frsq', a)),
562 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
563 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
564 # Boolean simplifications
565 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
566 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
567 (('ieq', a, True), a),
568 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
569 (('ine', a, False), a),
570 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
571 (('bcsel', a, True, False), a),
572 (('bcsel', a, False, True), ('inot', a)),
573 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
574 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
575 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
576 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
577 (('bcsel', True, b, c), b),
578 (('bcsel', False, b, c), c),
579 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
580 # The result of this should be hit by constant propagation and, in the
581 # next round of opt_algebraic, get picked up by one of the above two.
582 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
583
584 (('bcsel', a, b, b), b),
585 (('fcsel', a, b, b), b),
586
587 # D3D Boolean emulation
588 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
589 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
590 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
591 ('ineg', ('b2i', ('iand', a, b)))),
592 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
593 ('ineg', ('b2i', ('ior', a, b)))),
594 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
595 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
596 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
597 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
598 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
599
600 # SM5 32-bit shifts are defined to use the 5 least significant bits
601 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
602 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
603 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
604
605 # Conversions
606 (('i2b32', ('b2i', 'a@32')), a),
607 (('f2i', ('ftrunc', a)), ('f2i', a)),
608 (('f2u', ('ftrunc', a)), ('f2u', a)),
609 (('i2b', ('ineg', a)), ('i2b', a)),
610 (('i2b', ('iabs', a)), ('i2b', a)),
611 (('fabs', ('b2f', a)), ('b2f', a)),
612 (('iabs', ('b2i', a)), ('b2i', a)),
613 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
614
615 # Ironically, mark these as imprecise because removing the conversions may
616 # preserve more precision than doing the conversions (e.g.,
617 # uint(float(0x81818181u)) == 0x81818200).
618 (('~f2i32', ('i2f', 'a@32')), a),
619 (('~f2i32', ('u2f', 'a@32')), a),
620 (('~f2u32', ('i2f', 'a@32')), a),
621 (('~f2u32', ('u2f', 'a@32')), a),
622
623 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
624 # says:
625 #
626 # It is undefined to convert a negative floating-point value to an
627 # uint.
628 #
629 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
630 # some optimizations in the i965 backend to proceed.
631 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
632 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
633 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
634 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
635
636 # Packing and then unpacking does nothing
637 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
638 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
639 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
640 ('unpack_64_2x32_split_y', a)), a),
641
642 # Byte extraction
643 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
644 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
645 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
646 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
647 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
648 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
649 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
650 ]
651
652 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
653 # patterns like those below.
654 for op in ('ushr', 'ishr'):
655 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
656 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
657 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
658
659 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
660
661 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
662 # patterns like those below.
663 for op in ('extract_u8', 'extract_i8'):
664 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
665 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
666 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
667
668 optimizations.extend([
669 # Word extraction
670 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
671 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
672 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
673 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
674 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
675
676 # Subtracts
677 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
678 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
679 (('ussub_4x8', a, 0), a),
680 (('ussub_4x8', a, ~0), 0),
681 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
682 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
683 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
684 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
685 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
686 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
687 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
688 (('iabs', ('isub', 0, a)), ('iabs', a)),
689
690 # Propagate negation up multiplication chains
691 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
692 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
693
694 # Propagate constants up multiplication chains
695 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
696 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
697 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
698 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
699
700 # Reassociate constants in add/mul chains so they can be folded together.
701 # For now, we mostly only handle cases where the constants are separated by
702 # a single non-constant. We could do better eventually.
703 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
704 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
705 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
706 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
707 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
708
709 # By definition...
710 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
711 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
712 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
713
714 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
715 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
716 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
717
718 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
719
720 # Misc. lowering
721 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod16'),
722 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
723 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
724 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
725 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
726 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
727
728 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
729 ('bcsel', ('ilt', 31, 'bits'), 'insert',
730 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
731 'options->lower_bitfield_insert'),
732 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
733 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
734 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
735 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
736 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
737 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
738
739 # Alternative lowering that doesn't rely on bfi.
740 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
741 ('bcsel', ('ilt', 31, 'bits'),
742 'insert',
743 ('ior',
744 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
745 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
746 'options->lower_bitfield_insert_to_shifts'),
747
748 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
749 (('bfm', 'bits', 'offset'),
750 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
751 'options->lower_bfm'),
752
753 (('ibitfield_extract', 'value', 'offset', 'bits'),
754 ('bcsel', ('ilt', 31, 'bits'), 'value',
755 ('ibfe', 'value', 'offset', 'bits')),
756 'options->lower_bitfield_extract'),
757
758 (('ubitfield_extract', 'value', 'offset', 'bits'),
759 ('bcsel', ('ult', 31, 'bits'), 'value',
760 ('ubfe', 'value', 'offset', 'bits')),
761 'options->lower_bitfield_extract'),
762
763 (('ibitfield_extract', 'value', 'offset', 'bits'),
764 ('bcsel', ('ieq', 0, 'bits'),
765 0,
766 ('ishr',
767 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
768 ('isub', 32, 'bits'))),
769 'options->lower_bitfield_extract_to_shifts'),
770
771 (('ubitfield_extract', 'value', 'offset', 'bits'),
772 ('iand',
773 ('ushr', 'value', 'offset'),
774 ('bcsel', ('ieq', 'bits', 32),
775 0xffffffff,
776 ('bfm', 'bits', 0))),
777 'options->lower_bitfield_extract_to_shifts'),
778
779 (('ifind_msb', 'value'),
780 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
781 'options->lower_ifind_msb'),
782
783 (('find_lsb', 'value'),
784 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
785 'options->lower_find_lsb'),
786
787 (('extract_i8', a, 'b@32'),
788 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
789 'options->lower_extract_byte'),
790
791 (('extract_u8', a, 'b@32'),
792 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
793 'options->lower_extract_byte'),
794
795 (('extract_i16', a, 'b@32'),
796 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
797 'options->lower_extract_word'),
798
799 (('extract_u16', a, 'b@32'),
800 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
801 'options->lower_extract_word'),
802
803 (('pack_unorm_2x16', 'v'),
804 ('pack_uvec2_to_uint',
805 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
806 'options->lower_pack_unorm_2x16'),
807
808 (('pack_unorm_4x8', 'v'),
809 ('pack_uvec4_to_uint',
810 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
811 'options->lower_pack_unorm_4x8'),
812
813 (('pack_snorm_2x16', 'v'),
814 ('pack_uvec2_to_uint',
815 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
816 'options->lower_pack_snorm_2x16'),
817
818 (('pack_snorm_4x8', 'v'),
819 ('pack_uvec4_to_uint',
820 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
821 'options->lower_pack_snorm_4x8'),
822
823 (('unpack_unorm_2x16', 'v'),
824 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
825 ('extract_u16', 'v', 1))),
826 65535.0),
827 'options->lower_unpack_unorm_2x16'),
828
829 (('unpack_unorm_4x8', 'v'),
830 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
831 ('extract_u8', 'v', 1),
832 ('extract_u8', 'v', 2),
833 ('extract_u8', 'v', 3))),
834 255.0),
835 'options->lower_unpack_unorm_4x8'),
836
837 (('unpack_snorm_2x16', 'v'),
838 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
839 ('extract_i16', 'v', 1))),
840 32767.0))),
841 'options->lower_unpack_snorm_2x16'),
842
843 (('unpack_snorm_4x8', 'v'),
844 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
845 ('extract_i8', 'v', 1),
846 ('extract_i8', 'v', 2),
847 ('extract_i8', 'v', 3))),
848 127.0))),
849 'options->lower_unpack_snorm_4x8'),
850
851 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
852 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
853 ])
854
855 # bit_size dependent lowerings
856 for bit_size in [8, 16, 32, 64]:
857 # convenience constants
858 intmax = (1 << (bit_size - 1)) - 1
859 intmin = 1 << (bit_size - 1)
860
861 optimizations += [
862 (('iadd_sat@' + str(bit_size), a, b),
863 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
864 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
865 (('isub_sat@' + str(bit_size), a, b),
866 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
867 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
868 ]
869
870 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
871
872 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
873 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
874 ('iand', (invert[left], a, b), (invert[right], c, d))))
875 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
876 ('ior', (invert[left], a, b), (invert[right], c, d))))
877
878 # Optimize x2bN(b2x(x)) -> x
879 for size in type_sizes('bool'):
880 aN = 'a@' + str(size)
881 f2bN = 'f2b' + str(size)
882 i2bN = 'i2b' + str(size)
883 optimizations.append(((f2bN, ('b2f', aN)), a))
884 optimizations.append(((i2bN, ('b2i', aN)), a))
885
886 # Optimize x2yN(b2x(x)) -> b2y
887 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
888 if x != 'f' and y != 'f' and x != y:
889 continue
890
891 b2x = 'b2f' if x == 'f' else 'b2i'
892 b2y = 'b2f' if y == 'f' else 'b2i'
893 x2yN = '{}2{}'.format(x, y)
894 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
895
896 # Optimize away x2xN(a@N)
897 for t in ['int', 'uint', 'float']:
898 for N in type_sizes(t):
899 x2xN = '{0}2{0}{1}'.format(t[0], N)
900 aN = 'a@{0}'.format(N)
901 optimizations.append(((x2xN, aN), a))
902
903 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
904 # In particular, we can optimize away everything except upcast of downcast and
905 # upcasts where the type differs from the other cast
906 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
907 if N < M:
908 # The outer cast is a down-cast. It doesn't matter what the size of the
909 # argument of the inner cast is because we'll never been in the upcast
910 # of downcast case. Regardless of types, we'll always end up with y2yN
911 # in the end.
912 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
913 x2xN = '{0}2{0}{1}'.format(x, N)
914 y2yM = '{0}2{0}{1}'.format(y, M)
915 y2yN = '{0}2{0}{1}'.format(y, N)
916 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
917 elif N > M:
918 # If the outer cast is an up-cast, we have to be more careful about the
919 # size of the argument of the inner cast and with types. In this case,
920 # the type is always the type of type up-cast which is given by the
921 # outer cast.
922 for P in type_sizes('uint'):
923 # We can't optimize away up-cast of down-cast.
924 if M < P:
925 continue
926
927 # Because we're doing down-cast of down-cast, the types always have
928 # to match between the two casts
929 for x in ['i', 'u']:
930 x2xN = '{0}2{0}{1}'.format(x, N)
931 x2xM = '{0}2{0}{1}'.format(x, M)
932 aP = 'a@{0}'.format(P)
933 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
934 else:
935 # The N == M case is handled by other optimizations
936 pass
937
938 def fexp2i(exp, bits):
939 # We assume that exp is already in the right range.
940 if bits == 16:
941 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
942 elif bits == 32:
943 return ('ishl', ('iadd', exp, 127), 23)
944 elif bits == 64:
945 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
946 else:
947 assert False
948
949 def ldexp(f, exp, bits):
950 # First, we clamp exp to a reasonable range. The maximum possible range
951 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
952 # a maximum range of [-149, 127]. This means that we can potentially have
953 # a swing of +-276. If you start with FLT_MAX, you actually have to do
954 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
955 # spec, on the other hand, only requires that we handle an exponent value
956 # in the range [-126, 128]. This implementation is *mostly* correct; it
957 # handles a range on exp of [-252, 254] which allows you to create any
958 # value (including denorms if the hardware supports it) and to adjust the
959 # exponent of any normal value to anything you want.
960 if bits == 16:
961 exp = ('imin', ('imax', exp, -28), 30)
962 elif bits == 32:
963 exp = ('imin', ('imax', exp, -252), 254)
964 elif bits == 64:
965 exp = ('imin', ('imax', exp, -2044), 2046)
966 else:
967 assert False
968
969 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
970 # (We use ishr which isn't the same for -1, but the -1 case still works
971 # since we use exp-exp/2 as the second exponent.) While the spec
972 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
973 # work with denormals and doesn't allow for the full swing in exponents
974 # that you can get with normalized values. Instead, we create two powers
975 # of two and multiply by them each in turn. That way the effective range
976 # of our exponent is doubled.
977 pow2_1 = fexp2i(('ishr', exp, 1), bits)
978 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
979 return ('fmul', ('fmul', f, pow2_1), pow2_2)
980
981 optimizations += [
982 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
983 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
984 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
985 ]
986
987 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
988 def bitfield_reverse(u):
989 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
990 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
991 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
992 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
993 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
994
995 return step5
996
997 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
998
999 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1000 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1001 # and, if a is a NaN then the second comparison will fail anyway.
1002 for op in ['flt', 'fge', 'feq']:
1003 optimizations += [
1004 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1005 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1006 ]
1007
1008 # Add optimizations to handle the case where the result of a ternary is
1009 # compared to a constant. This way we can take things like
1010 #
1011 # (a ? 0 : 1) > 0
1012 #
1013 # and turn it into
1014 #
1015 # a ? (0 > 0) : (1 > 0)
1016 #
1017 # which constant folding will eat for lunch. The resulting ternary will
1018 # further get cleaned up by the boolean reductions above and we will be
1019 # left with just the original variable "a".
1020 for op in ['flt', 'fge', 'feq', 'fne',
1021 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1022 optimizations += [
1023 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1024 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1025 ((op, '#d', ('bcsel', a, '#b', '#c')),
1026 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1027 ]
1028
1029
1030 # For example, this converts things like
1031 #
1032 # 1 + mix(0, a - 1, condition)
1033 #
1034 # into
1035 #
1036 # mix(1, (a-1)+1, condition)
1037 #
1038 # Other optimizations will rearrange the constants.
1039 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1040 optimizations += [
1041 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1042 ]
1043
1044 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1045 # states:
1046 #
1047 # If neither layout qualifier is specified, derivatives in compute shaders
1048 # return zero, which is consistent with the handling of built-in texture
1049 # functions like texture() in GLSL 4.50 compute shaders.
1050 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1051 'fddy', 'fddy_fine', 'fddy_coarse']:
1052 optimizations += [
1053 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1054 ]
1055
1056 # This section contains "late" optimizations that should be run before
1057 # creating ffmas and calling regular optimizations for the final time.
1058 # Optimizations should go here if they help code generation and conflict
1059 # with the regular optimizations.
1060 before_ffma_optimizations = [
1061 # Propagate constants down multiplication chains
1062 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1063 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1064 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1065 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1066
1067 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1068 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1069 (('~fadd', ('fneg', a), a), 0.0),
1070 (('iadd', ('ineg', a), a), 0),
1071 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1072 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1073 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1074 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1075
1076 (('~flrp@32', ('fadd(is_used_once)', a, -1.0), ('fadd(is_used_once)', a, 1.0), d), ('fadd', ('flrp', -1.0, 1.0, d), a)),
1077 (('~flrp@32', ('fadd(is_used_once)', a, 1.0), ('fadd(is_used_once)', a, -1.0), d), ('fadd', ('flrp', 1.0, -1.0, d), a)),
1078 (('~flrp@32', ('fadd(is_used_once)', a, '#b'), ('fadd(is_used_once)', a, '#c'), d), ('fadd', ('fmul', d, ('fadd', c, ('fneg', b))), ('fadd', a, b))),
1079 ]
1080
1081 # This section contains "late" optimizations that should be run after the
1082 # regular optimizations have finished. Optimizations should go here if
1083 # they help code generation but do not necessarily produce code that is
1084 # more easily optimizable.
1085 late_optimizations = [
1086 # Most of these optimizations aren't quite safe when you get infinity or
1087 # Nan involved but the first one should be fine.
1088 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1089 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1090 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1091 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1092 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1093 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1094
1095 (('~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)))),
1096
1097 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1098 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1099 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1100 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1101
1102 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1103 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1104
1105 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a, 0.0, 1.0)),
1106 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a, -0.0, -1.0)),
1107
1108 (('~fadd@32', 1.0, ('fmul(is_used_once)', c , ('fadd', b, -1.0 ))), ('fadd', ('fadd', 1.0, ('fneg', c)), ('fmul', b, c)), 'options->lower_flrp32'),
1109 (('~fadd@64', 1.0, ('fmul(is_used_once)', c , ('fadd', b, -1.0 ))), ('fadd', ('fadd', 1.0, ('fneg', c)), ('fmul', b, c)), 'options->lower_flrp64'),
1110
1111 # we do these late so that we don't get in the way of creating ffmas
1112 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1113 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1114
1115 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1116 ]
1117
1118 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1119 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1120 before_ffma_optimizations).render())
1121 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1122 late_optimizations).render())