Revert "nir: add late opt to turn inot/b2f combos back to bcsel"
[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 # The result of the multiply must be in [-1, 0], so the result of the ffma
656 # must be in [0, 1].
657 (('flt', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), False),
658 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), False),
659 (('fmax', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0)),
660 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0)),
661
662 # Packing and then unpacking does nothing
663 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
664 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
665 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
666 ('unpack_64_2x32_split_y', a)), a),
667
668 # Byte extraction
669 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
670 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
671 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
672 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
673 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
674 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
675 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
676 ]
677
678 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
679 # patterns like those below.
680 for op in ('ushr', 'ishr'):
681 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
682 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
683 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
684
685 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
686
687 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
688 # patterns like those below.
689 for op in ('extract_u8', 'extract_i8'):
690 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
691 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
692 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
693
694 optimizations.extend([
695 # Word extraction
696 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
697 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
698 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
699 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
700 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
701
702 # Subtracts
703 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
704 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
705 (('ussub_4x8', a, 0), a),
706 (('ussub_4x8', a, ~0), 0),
707 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
708 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
709 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
710 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
711 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
712 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
713 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
714 (('iabs', ('isub', 0, a)), ('iabs', a)),
715
716 # Propagate negation up multiplication chains
717 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
718 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
719
720 # Propagate constants up multiplication chains
721 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
722 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
723 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
724 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
725
726 # Reassociate constants in add/mul chains so they can be folded together.
727 # For now, we mostly only handle cases where the constants are separated by
728 # a single non-constant. We could do better eventually.
729 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
730 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
731 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
732 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
733 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
734
735 # By definition...
736 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
737 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
738 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
739
740 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
741 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
742 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
743
744 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
745
746 # Misc. lowering
747 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod16'),
748 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
749 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
750 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
751 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
752 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
753
754 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
755 ('bcsel', ('ilt', 31, 'bits'), 'insert',
756 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
757 'options->lower_bitfield_insert'),
758 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
759 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
760 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
761 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
762 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
763 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
764
765 # Alternative lowering that doesn't rely on bfi.
766 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
767 ('bcsel', ('ilt', 31, 'bits'),
768 'insert',
769 ('ior',
770 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
771 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
772 'options->lower_bitfield_insert_to_shifts'),
773
774 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
775 (('bfm', 'bits', 'offset'),
776 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
777 'options->lower_bfm'),
778
779 (('ibitfield_extract', 'value', 'offset', 'bits'),
780 ('bcsel', ('ilt', 31, 'bits'), 'value',
781 ('ibfe', 'value', 'offset', 'bits')),
782 'options->lower_bitfield_extract'),
783
784 (('ubitfield_extract', 'value', 'offset', 'bits'),
785 ('bcsel', ('ult', 31, 'bits'), 'value',
786 ('ubfe', 'value', 'offset', 'bits')),
787 'options->lower_bitfield_extract'),
788
789 (('ibitfield_extract', 'value', 'offset', 'bits'),
790 ('bcsel', ('ieq', 0, 'bits'),
791 0,
792 ('ishr',
793 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
794 ('isub', 32, 'bits'))),
795 'options->lower_bitfield_extract_to_shifts'),
796
797 (('ubitfield_extract', 'value', 'offset', 'bits'),
798 ('iand',
799 ('ushr', 'value', 'offset'),
800 ('bcsel', ('ieq', 'bits', 32),
801 0xffffffff,
802 ('bfm', 'bits', 0))),
803 'options->lower_bitfield_extract_to_shifts'),
804
805 (('ifind_msb', 'value'),
806 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
807 'options->lower_ifind_msb'),
808
809 (('find_lsb', 'value'),
810 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
811 'options->lower_find_lsb'),
812
813 (('extract_i8', a, 'b@32'),
814 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
815 'options->lower_extract_byte'),
816
817 (('extract_u8', a, 'b@32'),
818 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
819 'options->lower_extract_byte'),
820
821 (('extract_i16', a, 'b@32'),
822 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
823 'options->lower_extract_word'),
824
825 (('extract_u16', a, 'b@32'),
826 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
827 'options->lower_extract_word'),
828
829 (('pack_unorm_2x16', 'v'),
830 ('pack_uvec2_to_uint',
831 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
832 'options->lower_pack_unorm_2x16'),
833
834 (('pack_unorm_4x8', 'v'),
835 ('pack_uvec4_to_uint',
836 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
837 'options->lower_pack_unorm_4x8'),
838
839 (('pack_snorm_2x16', 'v'),
840 ('pack_uvec2_to_uint',
841 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
842 'options->lower_pack_snorm_2x16'),
843
844 (('pack_snorm_4x8', 'v'),
845 ('pack_uvec4_to_uint',
846 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
847 'options->lower_pack_snorm_4x8'),
848
849 (('unpack_unorm_2x16', 'v'),
850 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
851 ('extract_u16', 'v', 1))),
852 65535.0),
853 'options->lower_unpack_unorm_2x16'),
854
855 (('unpack_unorm_4x8', 'v'),
856 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
857 ('extract_u8', 'v', 1),
858 ('extract_u8', 'v', 2),
859 ('extract_u8', 'v', 3))),
860 255.0),
861 'options->lower_unpack_unorm_4x8'),
862
863 (('unpack_snorm_2x16', 'v'),
864 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
865 ('extract_i16', 'v', 1))),
866 32767.0))),
867 'options->lower_unpack_snorm_2x16'),
868
869 (('unpack_snorm_4x8', 'v'),
870 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
871 ('extract_i8', 'v', 1),
872 ('extract_i8', 'v', 2),
873 ('extract_i8', 'v', 3))),
874 127.0))),
875 'options->lower_unpack_snorm_4x8'),
876
877 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
878 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
879 ])
880
881 # bit_size dependent lowerings
882 for bit_size in [8, 16, 32, 64]:
883 # convenience constants
884 intmax = (1 << (bit_size - 1)) - 1
885 intmin = 1 << (bit_size - 1)
886
887 optimizations += [
888 (('iadd_sat@' + str(bit_size), a, b),
889 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
890 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
891 (('isub_sat@' + str(bit_size), a, b),
892 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
893 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
894 ]
895
896 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
897
898 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
899 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
900 ('iand', (invert[left], a, b), (invert[right], c, d))))
901 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
902 ('ior', (invert[left], a, b), (invert[right], c, d))))
903
904 # Optimize x2bN(b2x(x)) -> x
905 for size in type_sizes('bool'):
906 aN = 'a@' + str(size)
907 f2bN = 'f2b' + str(size)
908 i2bN = 'i2b' + str(size)
909 optimizations.append(((f2bN, ('b2f', aN)), a))
910 optimizations.append(((i2bN, ('b2i', aN)), a))
911
912 # Optimize x2yN(b2x(x)) -> b2y
913 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
914 if x != 'f' and y != 'f' and x != y:
915 continue
916
917 b2x = 'b2f' if x == 'f' else 'b2i'
918 b2y = 'b2f' if y == 'f' else 'b2i'
919 x2yN = '{}2{}'.format(x, y)
920 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
921
922 # Optimize away x2xN(a@N)
923 for t in ['int', 'uint', 'float']:
924 for N in type_sizes(t):
925 x2xN = '{0}2{0}{1}'.format(t[0], N)
926 aN = 'a@{0}'.format(N)
927 optimizations.append(((x2xN, aN), a))
928
929 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
930 # In particular, we can optimize away everything except upcast of downcast and
931 # upcasts where the type differs from the other cast
932 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
933 if N < M:
934 # The outer cast is a down-cast. It doesn't matter what the size of the
935 # argument of the inner cast is because we'll never been in the upcast
936 # of downcast case. Regardless of types, we'll always end up with y2yN
937 # in the end.
938 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
939 x2xN = '{0}2{0}{1}'.format(x, N)
940 y2yM = '{0}2{0}{1}'.format(y, M)
941 y2yN = '{0}2{0}{1}'.format(y, N)
942 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
943 elif N > M:
944 # If the outer cast is an up-cast, we have to be more careful about the
945 # size of the argument of the inner cast and with types. In this case,
946 # the type is always the type of type up-cast which is given by the
947 # outer cast.
948 for P in type_sizes('uint'):
949 # We can't optimize away up-cast of down-cast.
950 if M < P:
951 continue
952
953 # Because we're doing down-cast of down-cast, the types always have
954 # to match between the two casts
955 for x in ['i', 'u']:
956 x2xN = '{0}2{0}{1}'.format(x, N)
957 x2xM = '{0}2{0}{1}'.format(x, M)
958 aP = 'a@{0}'.format(P)
959 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
960 else:
961 # The N == M case is handled by other optimizations
962 pass
963
964 def fexp2i(exp, bits):
965 # We assume that exp is already in the right range.
966 if bits == 16:
967 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
968 elif bits == 32:
969 return ('ishl', ('iadd', exp, 127), 23)
970 elif bits == 64:
971 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
972 else:
973 assert False
974
975 def ldexp(f, exp, bits):
976 # First, we clamp exp to a reasonable range. The maximum possible range
977 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
978 # a maximum range of [-149, 127]. This means that we can potentially have
979 # a swing of +-276. If you start with FLT_MAX, you actually have to do
980 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
981 # spec, on the other hand, only requires that we handle an exponent value
982 # in the range [-126, 128]. This implementation is *mostly* correct; it
983 # handles a range on exp of [-252, 254] which allows you to create any
984 # value (including denorms if the hardware supports it) and to adjust the
985 # exponent of any normal value to anything you want.
986 if bits == 16:
987 exp = ('imin', ('imax', exp, -28), 30)
988 elif bits == 32:
989 exp = ('imin', ('imax', exp, -252), 254)
990 elif bits == 64:
991 exp = ('imin', ('imax', exp, -2044), 2046)
992 else:
993 assert False
994
995 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
996 # (We use ishr which isn't the same for -1, but the -1 case still works
997 # since we use exp-exp/2 as the second exponent.) While the spec
998 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
999 # work with denormals and doesn't allow for the full swing in exponents
1000 # that you can get with normalized values. Instead, we create two powers
1001 # of two and multiply by them each in turn. That way the effective range
1002 # of our exponent is doubled.
1003 pow2_1 = fexp2i(('ishr', exp, 1), bits)
1004 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
1005 return ('fmul', ('fmul', f, pow2_1), pow2_2)
1006
1007 optimizations += [
1008 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1009 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1010 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1011 ]
1012
1013 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1014 def bitfield_reverse(u):
1015 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1016 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1017 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1018 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1019 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1020
1021 return step5
1022
1023 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1024
1025 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1026 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1027 # and, if a is a NaN then the second comparison will fail anyway.
1028 for op in ['flt', 'fge', 'feq']:
1029 optimizations += [
1030 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1031 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1032 ]
1033
1034 # Add optimizations to handle the case where the result of a ternary is
1035 # compared to a constant. This way we can take things like
1036 #
1037 # (a ? 0 : 1) > 0
1038 #
1039 # and turn it into
1040 #
1041 # a ? (0 > 0) : (1 > 0)
1042 #
1043 # which constant folding will eat for lunch. The resulting ternary will
1044 # further get cleaned up by the boolean reductions above and we will be
1045 # left with just the original variable "a".
1046 for op in ['flt', 'fge', 'feq', 'fne',
1047 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1048 optimizations += [
1049 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1050 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1051 ((op, '#d', ('bcsel', a, '#b', '#c')),
1052 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1053 ]
1054
1055
1056 # For example, this converts things like
1057 #
1058 # 1 + mix(0, a - 1, condition)
1059 #
1060 # into
1061 #
1062 # mix(1, (a-1)+1, condition)
1063 #
1064 # Other optimizations will rearrange the constants.
1065 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1066 optimizations += [
1067 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1068 ]
1069
1070 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1071 # states:
1072 #
1073 # If neither layout qualifier is specified, derivatives in compute shaders
1074 # return zero, which is consistent with the handling of built-in texture
1075 # functions like texture() in GLSL 4.50 compute shaders.
1076 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1077 'fddy', 'fddy_fine', 'fddy_coarse']:
1078 optimizations += [
1079 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1080 ]
1081
1082 # This section contains "late" optimizations that should be run before
1083 # creating ffmas and calling regular optimizations for the final time.
1084 # Optimizations should go here if they help code generation and conflict
1085 # with the regular optimizations.
1086 before_ffma_optimizations = [
1087 # Propagate constants down multiplication chains
1088 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1089 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1090 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1091 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1092
1093 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1094 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1095 (('~fadd', ('fneg', a), a), 0.0),
1096 (('iadd', ('ineg', a), a), 0),
1097 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1098 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1099 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1100 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1101
1102 (('~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)),
1103 (('~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)),
1104 (('~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))),
1105 ]
1106
1107 # This section contains "late" optimizations that should be run after the
1108 # regular optimizations have finished. Optimizations should go here if
1109 # they help code generation but do not necessarily produce code that is
1110 # more easily optimizable.
1111 late_optimizations = [
1112 # Most of these optimizations aren't quite safe when you get infinity or
1113 # Nan involved but the first one should be fine.
1114 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1115 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1116 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1117 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1118 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1119 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1120
1121 (('~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)))),
1122
1123 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1124 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1125 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1126 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1127
1128 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1129 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1130
1131 (('~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'),
1132 (('~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'),
1133
1134 # we do these late so that we don't get in the way of creating ffmas
1135 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1136 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1137
1138 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1139 ]
1140
1141 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1142 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1143 before_ffma_optimizations).render())
1144 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1145 late_optimizations).render())