nir/algebraic: Simplify fsqrt domain guard
[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 (('fadd', ('fsat', a), ('fsat', ('fneg', a))), ('fsat', ('fabs', a))),
109 (('~fmul', a, 0.0), 0.0),
110 (('imul', a, 0), 0),
111 (('umul_unorm_4x8', a, 0), 0),
112 (('umul_unorm_4x8', a, ~0), a),
113 (('fmul', a, 1.0), a),
114 (('imul', a, 1), a),
115 (('fmul', a, -1.0), ('fneg', a)),
116 (('imul', a, -1), ('ineg', 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 => 1*a*a => a*a => abs(a)*a
119 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
120 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
121 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
122 (('~ffma', 0.0, a, b), b),
123 (('~ffma', a, b, 0.0), ('fmul', a, b)),
124 (('ffma', 1.0, a, b), ('fadd', a, b)),
125 (('ffma', -1.0, a, b), ('fadd', ('fneg', 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
131 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
132 (('~flrp', a, ('fadd(is_used_once)', a, b), c), ('fadd', ('fmul', b, c), a)),
133 (('~flrp@32', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp32'),
134 (('~flrp@64', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp64'),
135
136 (('~flrp@32', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp32'),
137 (('~flrp@64', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp64'),
138
139 (('~flrp@32', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp32'),
140 (('~flrp@64', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp64'),
141
142 (('~flrp', ('fmul(is_used_once)', a, b), ('fmul(is_used_once)', a, c), d), ('fmul', ('flrp', b, c, d), a)),
143
144 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
145 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
146 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
147 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
148 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
149 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
150 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
151 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
152 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
153 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
154 # These are the same as the previous three rules, but it depends on
155 # 1-fsat(x) <=> fsat(1-x):
156 #
157 # If x >= 0 and x <= 1: fsat(1 - x) == 1 - fsat(x) trivially
158 # If x < 0: 1 - fsat(x) => 1 - 0 => 1 and fsat(1 - x) => fsat(> 1) => 1
159 # If x > 1: 1 - fsat(x) => 1 - 1 => 0 and fsat(1 - x) => fsat(< 0) => 0
160 (('~fadd@32', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp32'),
161 (('~fadd@64', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp64'),
162
163 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
164 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
165 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
166 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
167 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
168
169 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
170 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
171
172 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
173 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
174 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
175 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
176
177 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
178 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
179
180 # (a * #b + #c) << #d
181 # ((a * #b) << #d) + (#c << #d)
182 # (a * (#b << #d)) + (#c << #d)
183 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
184 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
185
186 # (a * #b) << #c
187 # a * (#b << #c)
188 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
189
190 # Comparison simplifications
191 (('~inot', ('flt', a, b)), ('fge', a, b)),
192 (('~inot', ('fge', a, b)), ('flt', a, b)),
193 (('~inot', ('feq', a, b)), ('fne', a, b)),
194 (('~inot', ('fne', a, b)), ('feq', a, b)),
195 (('inot', ('ilt', a, b)), ('ige', a, b)),
196 (('inot', ('ult', a, b)), ('uge', a, b)),
197 (('inot', ('ige', a, b)), ('ilt', a, b)),
198 (('inot', ('uge', a, b)), ('ult', a, b)),
199 (('inot', ('ieq', a, b)), ('ine', a, b)),
200 (('inot', ('ine', a, b)), ('ieq', a, b)),
201
202 # 0.0 >= b2f(a)
203 # b2f(a) <= 0.0
204 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
205 # inot(a)
206 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
207
208 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
209
210 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
211 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
212 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
213 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
214 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
215 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
216 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
217 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
218 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
219 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
220 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
221 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
222 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
223 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
224 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
225 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
226 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
227 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
228 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
229 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
230
231 # -(b2f(a) + b2f(b)) < 0
232 # 0 < b2f(a) + b2f(b)
233 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
234 # a || b
235 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
236 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
237
238 # -(b2f(a) + b2f(b)) >= 0
239 # 0 >= b2f(a) + b2f(b)
240 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
241 # !(a || b)
242 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
243 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
244
245 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
246 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
247
248 # Some optimizations (below) convert things like (a < b || c < b) into
249 # (min(a, c) < b). However, this interfers with the previous optimizations
250 # that try to remove comparisons with negated sums of b2f. This just
251 # breaks that apart.
252 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
253 ('ior', ('flt', c, 0.0), ('ior', a, b))),
254
255 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
256 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
257 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
258 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
259
260 # Cannot remove the addition from ilt or ige due to overflow.
261 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
262 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
263
264 # fmin(-b2f(a), b) >= 0.0
265 # -b2f(a) >= 0.0 && b >= 0.0
266 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
267 # b2f(a) == 0.0 && b >= 0.0
268 # a == False && b >= 0.0
269 # !a && b >= 0.0
270 #
271 # The fge in the second replacement is not a typo. I leave the proof that
272 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
273 # reader.
274 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
275 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
276
277 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
278 (('fne', ('b2f', 'a@1'), 0.0), a),
279 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
280 (('ine', ('b2i', 'a@1'), 0), a),
281
282 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
283 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
284 (('fge', ('u2f', a), 0.0), True),
285 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
286 (('flt', ('u2f', a), 0.0), False),
287 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
288 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
289 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
290 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
291 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
292 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
293 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
294
295 # 0.0 < fabs(a)
296 # fabs(a) > 0.0
297 # fabs(a) != 0.0 because fabs(a) must be >= 0
298 # a != 0.0
299 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
300
301 # -fabs(a) < 0.0
302 # fabs(a) > 0.0
303 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
304
305 # 0.0 >= fabs(a)
306 # 0.0 == fabs(a) because fabs(a) must be >= 0
307 # 0.0 == a
308 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
309
310 # -fabs(a) >= 0.0
311 # 0.0 >= fabs(a)
312 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
313
314 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
315 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
316 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
317 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
318
319 # fmin(b2f(a), b)
320 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
321 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
322 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
323 #
324 # Since b is a constant, constant folding will eliminate the fmin and the
325 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
326 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
327
328 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
329
330 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
331 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
332 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
333 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
334 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
335 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
336 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
337 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
338 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
339 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
340 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
341 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
342 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
343 (('bcsel', a, True, b), ('ior', a, b)),
344 (('bcsel', a, a, b), ('ior', a, b)),
345 (('bcsel', a, b, False), ('iand', a, b)),
346 (('bcsel', a, b, a), ('iand', a, b)),
347 (('fmin', a, a), a),
348 (('fmax', a, a), a),
349 (('imin', a, a), a),
350 (('imax', a, a), a),
351 (('umin', a, a), a),
352 (('umax', a, a), a),
353 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
354 (('umax', ('umax', a, b), b), ('umax', a, b)),
355 (('imax', ('imax', a, b), b), ('imax', a, b)),
356 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
357 (('umin', ('umin', a, b), b), ('umin', a, b)),
358 (('imin', ('imin', a, b), b), ('imin', a, b)),
359 (('fmax', a, ('fneg', a)), ('fabs', a)),
360 (('imax', a, ('ineg', a)), ('iabs', a)),
361 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
362 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
363 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
364 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
365 (('fmin', a, ('fabs', a)), a),
366 (('imin', a, ('iabs', a)), a),
367 (('fmax', a, ('fneg', ('fabs', a))), a),
368 (('imax', a, ('ineg', ('iabs', a))), a),
369 (('fmax', a, ('fabs', a)), ('fabs', a)),
370 (('imax', a, ('iabs', a)), ('iabs', a)),
371 (('fmax', a, ('fneg', a)), ('fabs', a)),
372 (('imax', a, ('ineg', a)), ('iabs', a)),
373 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
374 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
375 (('~fmin', ('fmax', a, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
376 (('~fmax', ('fmin', a, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
377 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
378 (('fsat', ('b2f', a)), ('b2f', a)),
379 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
380 (('fsat', ('fsat', a)), ('fsat', a)),
381 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a, b))), ('fsat', ('fadd', ('fneg', a), ('fneg', b))), '!options->lower_negate && !options->lower_fsat'),
382 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fneg', a), b)), '!options->lower_negate && !options->lower_fsat'),
383 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fabs', a), ('fabs', b))), '!options->lower_fsat'),
384 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
385 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
386 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
387 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
388 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
389 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
390 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
391 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
392 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
393 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
394 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
395 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
396 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
397 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
398 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
399 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
400 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
401 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
402 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
403 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
404 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
405 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
406
407 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
408 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
409 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
410 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
411 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
412 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
413 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
414 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
415 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
416 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
417 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
418 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
419 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
420 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
421 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
422 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
423
424 # Common pattern like 'if (i == 0 || i == 1 || ...)'
425 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
426 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
427 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
428
429 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
430 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
431 # so emit an open-coded version of that.
432 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
433 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
434
435 (('ior', a, ('ieq', a, False)), True),
436 (('ior', a, ('inot', a)), -1),
437
438 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
439 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
440
441 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
442
443 # These patterns can result when (a < b || a < c) => (a < min(b, c))
444 # transformations occur before constant propagation and loop-unrolling.
445 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
446 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
447 (('~fge', a, ('fmin', b, a)), True),
448 (('~fge', ('fmax', a, b), a), True),
449 (('~flt', a, ('fmin', b, a)), False),
450 (('~flt', ('fmax', a, b), a), False),
451 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
452 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
453
454 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
455 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
456 (('ige', a, ('imin', b, a)), True),
457 (('ige', ('imax', a, b), a), True),
458 (('ult', a, ('umax', b, a)), ('ult', a, b)),
459 (('ult', ('umin', a, b), a), ('ult', b, a)),
460 (('uge', a, ('umin', b, a)), True),
461 (('uge', ('umax', a, b), a), True),
462 (('ilt', a, ('imin', b, a)), False),
463 (('ilt', ('imax', a, b), a), False),
464 (('ige', a, ('imax', b, a)), ('ige', a, b)),
465 (('ige', ('imin', a, b), a), ('ige', b, a)),
466 (('ult', a, ('umin', b, a)), False),
467 (('ult', ('umax', a, b), a), False),
468 (('uge', a, ('umax', b, a)), ('uge', a, b)),
469 (('uge', ('umin', a, b), a), ('uge', b, a)),
470
471 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
472 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
473 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
474 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
475 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
476 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
477 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
478 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
479 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
480 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
481 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
482 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
483 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
484 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
485 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
486 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
487
488 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
489 # negative.
490 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
491 ('iabs', ('ishr', a, b))),
492 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
493
494 (('fabs', ('slt', a, b)), ('slt', a, b)),
495 (('fabs', ('sge', a, b)), ('sge', a, b)),
496 (('fabs', ('seq', a, b)), ('seq', a, b)),
497 (('fabs', ('sne', a, b)), ('sne', a, b)),
498 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
499 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
500 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
501 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
502 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
503 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
504 # Emulating booleans
505 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
506 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
507 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
508 (('iand', 'a@bool32', 1.0), ('b2f', a)),
509 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
510 (('ineg', ('b2i32', 'a@32')), a),
511 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
512 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
513 # Comparison with the same args. Note that these are not done for
514 # the float versions because NaN always returns false on float
515 # inequalities.
516 (('ilt', a, a), False),
517 (('ige', a, a), True),
518 (('ieq', a, a), True),
519 (('ine', a, a), False),
520 (('ult', a, a), False),
521 (('uge', a, a), True),
522 # Logical and bit operations
523 (('fand', a, 0.0), 0.0),
524 (('iand', a, a), a),
525 (('iand', a, ~0), a),
526 (('iand', a, 0), 0),
527 (('ior', a, a), a),
528 (('ior', a, 0), a),
529 (('ior', a, True), True),
530 (('fxor', a, a), 0.0),
531 (('ixor', a, a), 0),
532 (('ixor', a, 0), a),
533 (('inot', ('inot', a)), a),
534 (('ior', ('iand', a, b), b), b),
535 (('ior', ('ior', a, b), b), ('ior', a, b)),
536 (('iand', ('ior', a, b), b), b),
537 (('iand', ('iand', a, b), b), ('iand', a, b)),
538 # DeMorgan's Laws
539 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
540 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
541 # Shift optimizations
542 (('ishl', 0, a), 0),
543 (('ishl', a, 0), a),
544 (('ishr', 0, a), 0),
545 (('ishr', a, 0), a),
546 (('ushr', 0, a), 0),
547 (('ushr', a, 0), a),
548 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
549 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
550 # Exponential/logarithmic identities
551 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
552 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
553 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
554 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
555 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
556 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
557 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
558 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
559 (('~fpow', a, 1.0), a),
560 (('~fpow', a, 2.0), ('fmul', a, a)),
561 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
562 (('~fpow', 2.0, a), ('fexp2', a)),
563 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
564 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
565 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
566 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
567 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
568 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
569 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
570 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
571 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
572 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
573 (('bcsel', ('flt', a, 0.0), 0.0, ('fsqrt', a)), ('fsqrt', ('fmax', a, 0.0))),
574 # Division and reciprocal
575 (('~fdiv', 1.0, a), ('frcp', a)),
576 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
577 (('~frcp', ('frcp', a)), a),
578 (('~frcp', ('fsqrt', a)), ('frsq', a)),
579 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
580 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
581 # Boolean simplifications
582 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
583 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
584 (('ieq', a, True), a),
585 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
586 (('ine', a, False), a),
587 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
588 (('bcsel', a, True, False), a),
589 (('bcsel', a, False, True), ('inot', a)),
590 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
591 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
592 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
593 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
594 (('bcsel', True, b, c), b),
595 (('bcsel', False, b, c), c),
596 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
597 # The result of this should be hit by constant propagation and, in the
598 # next round of opt_algebraic, get picked up by one of the above two.
599 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
600
601 (('bcsel', a, b, b), b),
602 (('fcsel', a, b, b), b),
603
604 # D3D Boolean emulation
605 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
606 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
607 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
608 ('ineg', ('b2i', ('iand', a, b)))),
609 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
610 ('ineg', ('b2i', ('ior', a, b)))),
611 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
612 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
613 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
614 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
615 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
616
617 # SM5 32-bit shifts are defined to use the 5 least significant bits
618 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
619 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
620 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
621
622 # Conversions
623 (('i2b32', ('b2i', 'a@32')), a),
624 (('f2i', ('ftrunc', a)), ('f2i', a)),
625 (('f2u', ('ftrunc', a)), ('f2u', a)),
626 (('i2b', ('ineg', a)), ('i2b', a)),
627 (('i2b', ('iabs', a)), ('i2b', a)),
628 (('fabs', ('b2f', a)), ('b2f', a)),
629 (('iabs', ('b2i', a)), ('b2i', a)),
630 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
631
632 # Ironically, mark these as imprecise because removing the conversions may
633 # preserve more precision than doing the conversions (e.g.,
634 # uint(float(0x81818181u)) == 0x81818200).
635 (('~f2i32', ('i2f', 'a@32')), a),
636 (('~f2i32', ('u2f', 'a@32')), a),
637 (('~f2u32', ('i2f', 'a@32')), a),
638 (('~f2u32', ('u2f', 'a@32')), a),
639
640 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
641 # says:
642 #
643 # It is undefined to convert a negative floating-point value to an
644 # uint.
645 #
646 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
647 # some optimizations in the i965 backend to proceed.
648 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
649 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
650 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
651 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
652
653 (('~fmin', ('fabs', a), 1.0), ('fsat', ('fabs', a)), '!options->lower_fsat'),
654
655 # Packing and then unpacking does nothing
656 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
657 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
658 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
659 ('unpack_64_2x32_split_y', a)), a),
660
661 # Byte extraction
662 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
663 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
664 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
665 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
666 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
667 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
668 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
669 ]
670
671 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
672 # patterns like those below.
673 for op in ('ushr', 'ishr'):
674 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
675 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
676 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
677
678 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
679
680 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
681 # patterns like those below.
682 for op in ('extract_u8', 'extract_i8'):
683 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
684 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
685 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
686
687 optimizations.extend([
688 # Word extraction
689 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
690 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
691 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
692 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
693 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
694
695 # Subtracts
696 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
697 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
698 (('ussub_4x8', a, 0), a),
699 (('ussub_4x8', a, ~0), 0),
700 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
701 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
702 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
703 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
704 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
705 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
706 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
707 (('iabs', ('isub', 0, a)), ('iabs', a)),
708
709 # Propagate negation up multiplication chains
710 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
711 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
712
713 # Propagate constants up multiplication chains
714 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
715 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
716 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
717 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
718
719 # Reassociate constants in add/mul chains so they can be folded together.
720 # For now, we mostly only handle cases where the constants are separated by
721 # a single non-constant. We could do better eventually.
722 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
723 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
724 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
725 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
726 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
727
728 # By definition...
729 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
730 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
731 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
732
733 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
734 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
735 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
736
737 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
738
739 # Misc. lowering
740 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod16'),
741 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
742 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
743 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
744 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
745 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
746
747 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
748 ('bcsel', ('ilt', 31, 'bits'), 'insert',
749 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
750 'options->lower_bitfield_insert'),
751 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
752 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
753 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
754 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
755 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
756 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
757
758 # Alternative lowering that doesn't rely on bfi.
759 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
760 ('bcsel', ('ilt', 31, 'bits'),
761 'insert',
762 ('ior',
763 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
764 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
765 'options->lower_bitfield_insert_to_shifts'),
766
767 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
768 (('bfm', 'bits', 'offset'),
769 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
770 'options->lower_bfm'),
771
772 (('ibitfield_extract', 'value', 'offset', 'bits'),
773 ('bcsel', ('ilt', 31, 'bits'), 'value',
774 ('ibfe', 'value', 'offset', 'bits')),
775 'options->lower_bitfield_extract'),
776
777 (('ubitfield_extract', 'value', 'offset', 'bits'),
778 ('bcsel', ('ult', 31, 'bits'), 'value',
779 ('ubfe', 'value', 'offset', 'bits')),
780 'options->lower_bitfield_extract'),
781
782 (('ibitfield_extract', 'value', 'offset', 'bits'),
783 ('bcsel', ('ieq', 0, 'bits'),
784 0,
785 ('ishr',
786 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
787 ('isub', 32, 'bits'))),
788 'options->lower_bitfield_extract_to_shifts'),
789
790 (('ubitfield_extract', 'value', 'offset', 'bits'),
791 ('iand',
792 ('ushr', 'value', 'offset'),
793 ('bcsel', ('ieq', 'bits', 32),
794 0xffffffff,
795 ('bfm', 'bits', 0))),
796 'options->lower_bitfield_extract_to_shifts'),
797
798 (('ifind_msb', 'value'),
799 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
800 'options->lower_ifind_msb'),
801
802 (('find_lsb', 'value'),
803 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
804 'options->lower_find_lsb'),
805
806 (('extract_i8', a, 'b@32'),
807 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
808 'options->lower_extract_byte'),
809
810 (('extract_u8', a, 'b@32'),
811 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
812 'options->lower_extract_byte'),
813
814 (('extract_i16', a, 'b@32'),
815 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
816 'options->lower_extract_word'),
817
818 (('extract_u16', a, 'b@32'),
819 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
820 'options->lower_extract_word'),
821
822 (('pack_unorm_2x16', 'v'),
823 ('pack_uvec2_to_uint',
824 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
825 'options->lower_pack_unorm_2x16'),
826
827 (('pack_unorm_4x8', 'v'),
828 ('pack_uvec4_to_uint',
829 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
830 'options->lower_pack_unorm_4x8'),
831
832 (('pack_snorm_2x16', 'v'),
833 ('pack_uvec2_to_uint',
834 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
835 'options->lower_pack_snorm_2x16'),
836
837 (('pack_snorm_4x8', 'v'),
838 ('pack_uvec4_to_uint',
839 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
840 'options->lower_pack_snorm_4x8'),
841
842 (('unpack_unorm_2x16', 'v'),
843 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
844 ('extract_u16', 'v', 1))),
845 65535.0),
846 'options->lower_unpack_unorm_2x16'),
847
848 (('unpack_unorm_4x8', 'v'),
849 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
850 ('extract_u8', 'v', 1),
851 ('extract_u8', 'v', 2),
852 ('extract_u8', 'v', 3))),
853 255.0),
854 'options->lower_unpack_unorm_4x8'),
855
856 (('unpack_snorm_2x16', 'v'),
857 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
858 ('extract_i16', 'v', 1))),
859 32767.0))),
860 'options->lower_unpack_snorm_2x16'),
861
862 (('unpack_snorm_4x8', 'v'),
863 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
864 ('extract_i8', 'v', 1),
865 ('extract_i8', 'v', 2),
866 ('extract_i8', 'v', 3))),
867 127.0))),
868 'options->lower_unpack_snorm_4x8'),
869
870 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
871 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
872 ])
873
874 # bit_size dependent lowerings
875 for bit_size in [8, 16, 32, 64]:
876 # convenience constants
877 intmax = (1 << (bit_size - 1)) - 1
878 intmin = 1 << (bit_size - 1)
879
880 optimizations += [
881 (('iadd_sat@' + str(bit_size), a, b),
882 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
883 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
884 (('isub_sat@' + str(bit_size), a, b),
885 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
886 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
887 ]
888
889 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
890
891 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
892 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
893 ('iand', (invert[left], a, b), (invert[right], c, d))))
894 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
895 ('ior', (invert[left], a, b), (invert[right], c, d))))
896
897 # Optimize x2bN(b2x(x)) -> x
898 for size in type_sizes('bool'):
899 aN = 'a@' + str(size)
900 f2bN = 'f2b' + str(size)
901 i2bN = 'i2b' + str(size)
902 optimizations.append(((f2bN, ('b2f', aN)), a))
903 optimizations.append(((i2bN, ('b2i', aN)), a))
904
905 # Optimize x2yN(b2x(x)) -> b2y
906 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
907 if x != 'f' and y != 'f' and x != y:
908 continue
909
910 b2x = 'b2f' if x == 'f' else 'b2i'
911 b2y = 'b2f' if y == 'f' else 'b2i'
912 x2yN = '{}2{}'.format(x, y)
913 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
914
915 # Optimize away x2xN(a@N)
916 for t in ['int', 'uint', 'float']:
917 for N in type_sizes(t):
918 x2xN = '{0}2{0}{1}'.format(t[0], N)
919 aN = 'a@{0}'.format(N)
920 optimizations.append(((x2xN, aN), a))
921
922 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
923 # In particular, we can optimize away everything except upcast of downcast and
924 # upcasts where the type differs from the other cast
925 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
926 if N < M:
927 # The outer cast is a down-cast. It doesn't matter what the size of the
928 # argument of the inner cast is because we'll never been in the upcast
929 # of downcast case. Regardless of types, we'll always end up with y2yN
930 # in the end.
931 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
932 x2xN = '{0}2{0}{1}'.format(x, N)
933 y2yM = '{0}2{0}{1}'.format(y, M)
934 y2yN = '{0}2{0}{1}'.format(y, N)
935 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
936 elif N > M:
937 # If the outer cast is an up-cast, we have to be more careful about the
938 # size of the argument of the inner cast and with types. In this case,
939 # the type is always the type of type up-cast which is given by the
940 # outer cast.
941 for P in type_sizes('uint'):
942 # We can't optimize away up-cast of down-cast.
943 if M < P:
944 continue
945
946 # Because we're doing down-cast of down-cast, the types always have
947 # to match between the two casts
948 for x in ['i', 'u']:
949 x2xN = '{0}2{0}{1}'.format(x, N)
950 x2xM = '{0}2{0}{1}'.format(x, M)
951 aP = 'a@{0}'.format(P)
952 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
953 else:
954 # The N == M case is handled by other optimizations
955 pass
956
957 def fexp2i(exp, bits):
958 # We assume that exp is already in the right range.
959 if bits == 16:
960 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
961 elif bits == 32:
962 return ('ishl', ('iadd', exp, 127), 23)
963 elif bits == 64:
964 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
965 else:
966 assert False
967
968 def ldexp(f, exp, bits):
969 # First, we clamp exp to a reasonable range. The maximum possible range
970 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
971 # a maximum range of [-149, 127]. This means that we can potentially have
972 # a swing of +-276. If you start with FLT_MAX, you actually have to do
973 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
974 # spec, on the other hand, only requires that we handle an exponent value
975 # in the range [-126, 128]. This implementation is *mostly* correct; it
976 # handles a range on exp of [-252, 254] which allows you to create any
977 # value (including denorms if the hardware supports it) and to adjust the
978 # exponent of any normal value to anything you want.
979 if bits == 16:
980 exp = ('imin', ('imax', exp, -28), 30)
981 elif bits == 32:
982 exp = ('imin', ('imax', exp, -252), 254)
983 elif bits == 64:
984 exp = ('imin', ('imax', exp, -2044), 2046)
985 else:
986 assert False
987
988 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
989 # (We use ishr which isn't the same for -1, but the -1 case still works
990 # since we use exp-exp/2 as the second exponent.) While the spec
991 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
992 # work with denormals and doesn't allow for the full swing in exponents
993 # that you can get with normalized values. Instead, we create two powers
994 # of two and multiply by them each in turn. That way the effective range
995 # of our exponent is doubled.
996 pow2_1 = fexp2i(('ishr', exp, 1), bits)
997 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
998 return ('fmul', ('fmul', f, pow2_1), pow2_2)
999
1000 optimizations += [
1001 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1002 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1003 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1004 ]
1005
1006 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1007 def bitfield_reverse(u):
1008 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1009 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1010 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1011 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1012 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1013
1014 return step5
1015
1016 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1017
1018 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1019 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1020 # and, if a is a NaN then the second comparison will fail anyway.
1021 for op in ['flt', 'fge', 'feq']:
1022 optimizations += [
1023 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1024 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1025 ]
1026
1027 # Add optimizations to handle the case where the result of a ternary is
1028 # compared to a constant. This way we can take things like
1029 #
1030 # (a ? 0 : 1) > 0
1031 #
1032 # and turn it into
1033 #
1034 # a ? (0 > 0) : (1 > 0)
1035 #
1036 # which constant folding will eat for lunch. The resulting ternary will
1037 # further get cleaned up by the boolean reductions above and we will be
1038 # left with just the original variable "a".
1039 for op in ['flt', 'fge', 'feq', 'fne',
1040 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1041 optimizations += [
1042 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1043 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1044 ((op, '#d', ('bcsel', a, '#b', '#c')),
1045 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1046 ]
1047
1048
1049 # For example, this converts things like
1050 #
1051 # 1 + mix(0, a - 1, condition)
1052 #
1053 # into
1054 #
1055 # mix(1, (a-1)+1, condition)
1056 #
1057 # Other optimizations will rearrange the constants.
1058 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1059 optimizations += [
1060 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1061 ]
1062
1063 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1064 # states:
1065 #
1066 # If neither layout qualifier is specified, derivatives in compute shaders
1067 # return zero, which is consistent with the handling of built-in texture
1068 # functions like texture() in GLSL 4.50 compute shaders.
1069 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1070 'fddy', 'fddy_fine', 'fddy_coarse']:
1071 optimizations += [
1072 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1073 ]
1074
1075 # This section contains "late" optimizations that should be run before
1076 # creating ffmas and calling regular optimizations for the final time.
1077 # Optimizations should go here if they help code generation and conflict
1078 # with the regular optimizations.
1079 before_ffma_optimizations = [
1080 # Propagate constants down multiplication chains
1081 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1082 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1083 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1084 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1085
1086 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1087 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1088 (('~fadd', ('fneg', a), a), 0.0),
1089 (('iadd', ('ineg', a), a), 0),
1090 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1091 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1092 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1093 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1094
1095 (('~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)),
1096 (('~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)),
1097 (('~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))),
1098 ]
1099
1100 # This section contains "late" optimizations that should be run after the
1101 # regular optimizations have finished. Optimizations should go here if
1102 # they help code generation but do not necessarily produce code that is
1103 # more easily optimizable.
1104 late_optimizations = [
1105 # Most of these optimizations aren't quite safe when you get infinity or
1106 # Nan involved but the first one should be fine.
1107 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1108 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1109 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1110 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1111 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1112 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1113
1114 (('~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)))),
1115
1116 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1117 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1118 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1119 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1120
1121 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1122 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1123
1124 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a, 0.0, 1.0)),
1125 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a, -0.0, -1.0)),
1126
1127 (('~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'),
1128 (('~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'),
1129
1130 # we do these late so that we don't get in the way of creating ffmas
1131 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1132 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1133
1134 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1135 ]
1136
1137 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1138 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1139 before_ffma_optimizations).render())
1140 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1141 late_optimizations).render())