nir/algebraic: Pull common multiplication out of flrp arguments
[mesa.git] / src / compiler / nir / nir_opt_algebraic.py
1 #
2 # Copyright (C) 2014 Intel Corporation
3 #
4 # Permission is hereby granted, free of charge, to any person obtaining a
5 # copy of this software and associated documentation files (the "Software"),
6 # to deal in the Software without restriction, including without limitation
7 # the rights to use, copy, modify, merge, publish, distribute, sublicense,
8 # and/or sell copies of the Software, and to permit persons to whom the
9 # Software is furnished to do so, subject to the following conditions:
10 #
11 # The above copyright notice and this permission notice (including the next
12 # paragraph) shall be included in all copies or substantial portions of the
13 # Software.
14 #
15 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
18 # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
20 # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
21 # IN THE SOFTWARE.
22 #
23 # Authors:
24 # Jason Ekstrand (jason@jlekstrand.net)
25
26 from __future__ import print_function
27
28 from collections import OrderedDict
29 import nir_algebraic
30 from nir_opcodes import type_sizes
31 import itertools
32
33 # Convenience variables
34 a = 'a'
35 b = 'b'
36 c = 'c'
37 d = 'd'
38 e = 'e'
39
40 # Written in the form (<search>, <replace>) where <search> is an expression
41 # and <replace> is either an expression or a value. An expression is
42 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
43 # where each source is either an expression or a value. A value can be
44 # either a numeric constant or a string representing a variable name.
45 #
46 # If the opcode in a search expression is prefixed by a '~' character, this
47 # indicates that the operation is inexact. Such operations will only get
48 # applied to SSA values that do not have the exact bit set. This should be
49 # used by by any optimizations that are not bit-for-bit exact. It should not,
50 # however, be used for backend-requested lowering operations as those need to
51 # happen regardless of precision.
52 #
53 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
54 # that the given variable will only match constants and the type indicates that
55 # the given variable will only match values from ALU instructions with the
56 # given output type, and (cond) specifies an additional condition function
57 # (see nir_search_helpers.h).
58 #
59 # For constants, you have to be careful to make sure that it is the right
60 # type because python is unaware of the source and destination types of the
61 # opcodes.
62 #
63 # All expression types can have a bit-size specified. For opcodes, this
64 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
65 # type and size. In the search half of the expression this indicates that it
66 # should only match that particular bit-size. In the replace half of the
67 # expression this indicates that the constructed value should have that
68 # bit-size.
69
70 optimizations = [
71
72 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b))),
73 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b))))),
74 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
75 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
76 (('imul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('imul_high', a, b)), 'options->lower_mul_2x32_64'),
77 (('umul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('umul_high', a, b)), 'options->lower_mul_2x32_64'),
78 (('udiv', a, 1), a),
79 (('idiv', a, 1), a),
80 (('umod', a, 1), 0),
81 (('imod', a, 1), 0),
82 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b))),
83 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
84 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
85 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
86
87 (('fneg', ('fneg', a)), a),
88 (('ineg', ('ineg', a)), a),
89 (('fabs', ('fabs', a)), ('fabs', a)),
90 (('fabs', ('fneg', a)), ('fabs', a)),
91 (('fabs', ('u2f', a)), ('u2f', a)),
92 (('iabs', ('iabs', a)), ('iabs', a)),
93 (('iabs', ('ineg', a)), ('iabs', a)),
94 (('f2b', ('fneg', a)), ('f2b', a)),
95 (('i2b', ('ineg', a)), ('i2b', a)),
96 (('~fadd', a, 0.0), a),
97 (('iadd', a, 0), a),
98 (('usadd_4x8', a, 0), a),
99 (('usadd_4x8', a, ~0), ~0),
100 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
101 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
102 (('~fadd', ('fneg', a), a), 0.0),
103 (('iadd', ('ineg', a), a), 0),
104 (('iadd', ('ineg', a), ('iadd', a, b)), b),
105 (('iadd', a, ('iadd', ('ineg', a), b)), b),
106 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
107 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
108 (('~fmul', a, 0.0), 0.0),
109 (('imul', a, 0), 0),
110 (('umul_unorm_4x8', a, 0), 0),
111 (('umul_unorm_4x8', a, ~0), a),
112 (('fmul', a, 1.0), a),
113 (('imul', a, 1), a),
114 (('fmul', a, -1.0), ('fneg', a)),
115 (('imul', a, -1), ('ineg', a)),
116 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
117 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
118 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
119 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
120 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
121 (('~ffma', 0.0, a, b), b),
122 (('~ffma', a, 0.0, b), b),
123 (('~ffma', a, b, 0.0), ('fmul', a, b)),
124 (('ffma', a, 1.0, b), ('fadd', a, b)),
125 (('ffma', 1.0, a, b), ('fadd', a, b)),
126 (('~flrp', a, b, 0.0), a),
127 (('~flrp', a, b, 1.0), b),
128 (('~flrp', a, a, b), a),
129 (('~flrp', 0.0, a, b), ('fmul', a, b)),
130
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 (('flrp@16', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp16'),
147 (('flrp@32', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp32'),
148 (('flrp@64', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp64'),
149 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
150 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
151 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
152 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
153 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
154 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
155 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
156 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
157 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
158 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
159 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
160 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
161 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
162
163 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
164 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
165
166 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
167 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
168 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
169 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
170
171 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
172 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
173
174 # (a * #b + #c) << #d
175 # ((a * #b) << #d) + (#c << #d)
176 # (a * (#b << #d)) + (#c << #d)
177 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
178 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
179
180 # (a * #b) << #c
181 # a * (#b << #c)
182 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
183
184 # Comparison simplifications
185 (('~inot', ('flt', a, b)), ('fge', a, b)),
186 (('~inot', ('fge', a, b)), ('flt', a, b)),
187 (('~inot', ('feq', a, b)), ('fne', a, b)),
188 (('~inot', ('fne', a, b)), ('feq', a, b)),
189 (('inot', ('ilt', a, b)), ('ige', a, b)),
190 (('inot', ('ult', a, b)), ('uge', a, b)),
191 (('inot', ('ige', a, b)), ('ilt', a, b)),
192 (('inot', ('uge', a, b)), ('ult', a, b)),
193 (('inot', ('ieq', a, b)), ('ine', a, b)),
194 (('inot', ('ine', a, b)), ('ieq', a, b)),
195
196 # 0.0 >= b2f(a)
197 # b2f(a) <= 0.0
198 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
199 # inot(a)
200 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
201
202 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
203
204 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
205 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
206 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
207 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
208 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
209 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
210 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
211 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
212 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
213 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
214 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
215 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
216 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
217 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
218 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
219 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
220 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
221 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
222 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
223 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
224
225 # -(b2f(a) + b2f(b)) < 0
226 # 0 < b2f(a) + b2f(b)
227 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
228 # a || b
229 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
230 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
231
232 # -(b2f(a) + b2f(b)) >= 0
233 # 0 >= b2f(a) + b2f(b)
234 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
235 # !(a || b)
236 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
237 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
238
239 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
240 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
241
242 # Some optimizations (below) convert things like (a < b || c < b) into
243 # (min(a, c) < b). However, this interfers with the previous optimizations
244 # that try to remove comparisons with negated sums of b2f. This just
245 # breaks that apart.
246 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
247 ('ior', ('flt', c, 0.0), ('ior', a, b))),
248
249 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
250 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
251 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
252 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
253
254 # Cannot remove the addition from ilt or ige due to overflow.
255 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
256 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
257
258 # fmin(-b2f(a), b) >= 0.0
259 # -b2f(a) >= 0.0 && b >= 0.0
260 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
261 # b2f(a) == 0.0 && b >= 0.0
262 # a == False && b >= 0.0
263 # !a && b >= 0.0
264 #
265 # The fge in the second replacement is not a typo. I leave the proof that
266 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
267 # reader.
268 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
269 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
270
271 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
272 (('fne', ('b2f', 'a@1'), 0.0), a),
273 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
274 (('ine', ('b2i', 'a@1'), 0), a),
275
276 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
277 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
278 (('fge', ('u2f', a), 0.0), True),
279 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
280 (('flt', ('u2f', a), 0.0), False),
281 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
282 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
283 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
284 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
285 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
286 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
287 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
288
289 # 0.0 < fabs(a)
290 # fabs(a) > 0.0
291 # fabs(a) != 0.0 because fabs(a) must be >= 0
292 # a != 0.0
293 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
294
295 # -fabs(a) < 0.0
296 # fabs(a) > 0.0
297 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
298
299 # 0.0 >= fabs(a)
300 # 0.0 == fabs(a) because fabs(a) must be >= 0
301 # 0.0 == a
302 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
303
304 # -fabs(a) >= 0.0
305 # 0.0 >= fabs(a)
306 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
307
308 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
309 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
310 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
311 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
312
313 # fmin(b2f(a), b)
314 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
315 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
316 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
317 #
318 # Since b is a constant, constant folding will eliminate the fmin and the
319 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
320 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
321
322 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
323
324 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
325 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
326 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
327 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
328 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
329 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
330 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
331 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
332 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
333 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
334 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
335 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
336 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
337 (('bcsel', a, True, b), ('ior', a, b)),
338 (('bcsel', a, a, b), ('ior', a, b)),
339 (('bcsel', a, b, False), ('iand', a, b)),
340 (('bcsel', a, b, a), ('iand', a, b)),
341 (('fmin', a, a), a),
342 (('fmax', a, a), a),
343 (('imin', a, a), a),
344 (('imax', a, a), a),
345 (('umin', a, a), a),
346 (('umax', a, a), a),
347 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
348 (('umax', ('umax', a, b), b), ('umax', a, b)),
349 (('imax', ('imax', a, b), b), ('imax', a, b)),
350 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
351 (('umin', ('umin', a, b), b), ('umin', a, b)),
352 (('imin', ('imin', a, b), b), ('imin', a, b)),
353 (('fmax', a, ('fneg', a)), ('fabs', a)),
354 (('imax', a, ('ineg', a)), ('iabs', a)),
355 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
356 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
357 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
358 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
359 (('fmin', a, ('fabs', a)), a),
360 (('imin', a, ('iabs', a)), a),
361 (('fmax', a, ('fneg', ('fabs', a))), a),
362 (('imax', a, ('ineg', ('iabs', a))), a),
363 (('fmax', a, ('fabs', a)), ('fabs', a)),
364 (('imax', a, ('iabs', a)), ('iabs', a)),
365 (('fmax', a, ('fneg', a)), ('fabs', a)),
366 (('imax', a, ('ineg', a)), ('iabs', a)),
367 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
368 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
369 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
370 (('fsat', ('b2f', a)), ('b2f', a)),
371 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
372 (('fsat', ('fsat', a)), ('fsat', a)),
373 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
374 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
375 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
376 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
377 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
378 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
379 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
380 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
381 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
382 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
383 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
384 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
385 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
386 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
387 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
388 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
389 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
390 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
391 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
392 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
393 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
394 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
395
396 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
397 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
398 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
399 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
400 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
401 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
402 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
403 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
404 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
405 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
406 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
407 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
408 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
409 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
410 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
411 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
412
413 # Common pattern like 'if (i == 0 || i == 1 || ...)'
414 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
415 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
416 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
417
418 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
419 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
420 # so emit an open-coded version of that.
421 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
422 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
423
424 (('ior', a, ('ieq', a, False)), True),
425 (('ior', a, ('inot', a)), -1),
426
427 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
428 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
429
430 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
431
432 # These patterns can result when (a < b || a < c) => (a < min(b, c))
433 # transformations occur before constant propagation and loop-unrolling.
434 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
435 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
436 (('~fge', a, ('fmin', b, a)), True),
437 (('~fge', ('fmax', a, b), a), True),
438 (('~flt', a, ('fmin', b, a)), False),
439 (('~flt', ('fmax', a, b), a), False),
440 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
441 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
442
443 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
444 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
445 (('ige', a, ('imin', b, a)), True),
446 (('ige', ('imax', a, b), a), True),
447 (('ult', a, ('umax', b, a)), ('ult', a, b)),
448 (('ult', ('umin', a, b), a), ('ult', b, a)),
449 (('uge', a, ('umin', b, a)), True),
450 (('uge', ('umax', a, b), a), True),
451 (('ilt', a, ('imin', b, a)), False),
452 (('ilt', ('imax', a, b), a), False),
453 (('ige', a, ('imax', b, a)), ('ige', a, b)),
454 (('ige', ('imin', a, b), a), ('ige', b, a)),
455 (('ult', a, ('umin', b, a)), False),
456 (('ult', ('umax', a, b), a), False),
457 (('uge', a, ('umax', b, a)), ('uge', a, b)),
458 (('uge', ('umin', a, b), a), ('uge', b, a)),
459
460 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
461 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
462 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
463 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
464 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
465 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
466 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
467 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
468 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
469 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
470 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
471 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
472 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
473 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
474 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
475 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
476
477 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
478 # negative.
479 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
480 ('iabs', ('ishr', a, b))),
481 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
482
483 (('fabs', ('slt', a, b)), ('slt', a, b)),
484 (('fabs', ('sge', a, b)), ('sge', a, b)),
485 (('fabs', ('seq', a, b)), ('seq', a, b)),
486 (('fabs', ('sne', a, b)), ('sne', a, b)),
487 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
488 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
489 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
490 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
491 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
492 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
493 # Emulating booleans
494 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
495 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
496 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
497 (('iand', 'a@bool32', 1.0), ('b2f', a)),
498 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
499 (('ineg', ('b2i32', 'a@32')), a),
500 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
501 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
502 # Comparison with the same args. Note that these are not done for
503 # the float versions because NaN always returns false on float
504 # inequalities.
505 (('ilt', a, a), False),
506 (('ige', a, a), True),
507 (('ieq', a, a), True),
508 (('ine', a, a), False),
509 (('ult', a, a), False),
510 (('uge', a, a), True),
511 # Logical and bit operations
512 (('fand', a, 0.0), 0.0),
513 (('iand', a, a), a),
514 (('iand', a, ~0), a),
515 (('iand', a, 0), 0),
516 (('ior', a, a), a),
517 (('ior', a, 0), a),
518 (('ior', a, True), True),
519 (('fxor', a, a), 0.0),
520 (('ixor', a, a), 0),
521 (('ixor', a, 0), a),
522 (('inot', ('inot', a)), a),
523 (('ior', ('iand', a, b), b), b),
524 (('ior', ('ior', a, b), b), ('ior', a, b)),
525 (('iand', ('ior', a, b), b), b),
526 (('iand', ('iand', a, b), b), ('iand', a, b)),
527 # DeMorgan's Laws
528 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
529 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
530 # Shift optimizations
531 (('ishl', 0, a), 0),
532 (('ishl', a, 0), a),
533 (('ishr', 0, a), 0),
534 (('ishr', a, 0), a),
535 (('ushr', 0, a), 0),
536 (('ushr', a, 0), a),
537 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
538 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
539 # Exponential/logarithmic identities
540 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
541 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
542 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
543 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
544 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
545 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
546 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
547 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
548 (('~fpow', a, 1.0), a),
549 (('~fpow', a, 2.0), ('fmul', a, a)),
550 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
551 (('~fpow', 2.0, a), ('fexp2', a)),
552 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
553 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
554 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
555 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
556 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
557 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
558 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
559 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
560 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
561 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
562 # Division and reciprocal
563 (('~fdiv', 1.0, a), ('frcp', a)),
564 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
565 (('~frcp', ('frcp', a)), a),
566 (('~frcp', ('fsqrt', a)), ('frsq', a)),
567 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
568 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
569 # Boolean simplifications
570 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
571 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
572 (('ieq', a, True), a),
573 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
574 (('ine', a, False), a),
575 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
576 (('bcsel', a, True, False), a),
577 (('bcsel', a, False, True), ('inot', a)),
578 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
579 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
580 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
581 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
582 (('bcsel', True, b, c), b),
583 (('bcsel', False, b, c), c),
584 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
585 # The result of this should be hit by constant propagation and, in the
586 # next round of opt_algebraic, get picked up by one of the above two.
587 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
588
589 (('bcsel', a, b, b), b),
590 (('fcsel', a, b, b), b),
591
592 # D3D Boolean emulation
593 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
594 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
595 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
596 ('ineg', ('b2i', ('iand', a, b)))),
597 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
598 ('ineg', ('b2i', ('ior', a, b)))),
599 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
600 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
601 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
602 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
603 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
604
605 # SM5 32-bit shifts are defined to use the 5 least significant bits
606 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
607 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
608 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
609
610 # Conversions
611 (('i2b32', ('b2i', 'a@32')), a),
612 (('f2i', ('ftrunc', a)), ('f2i', a)),
613 (('f2u', ('ftrunc', a)), ('f2u', a)),
614 (('i2b', ('ineg', a)), ('i2b', a)),
615 (('i2b', ('iabs', a)), ('i2b', a)),
616 (('fabs', ('b2f', a)), ('b2f', a)),
617 (('iabs', ('b2i', a)), ('b2i', a)),
618 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
619
620 # Ironically, mark these as imprecise because removing the conversions may
621 # preserve more precision than doing the conversions (e.g.,
622 # uint(float(0x81818181u)) == 0x81818200).
623 (('~f2i32', ('i2f', 'a@32')), a),
624 (('~f2i32', ('u2f', 'a@32')), a),
625 (('~f2u32', ('i2f', 'a@32')), a),
626 (('~f2u32', ('u2f', 'a@32')), a),
627
628 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
629 # says:
630 #
631 # It is undefined to convert a negative floating-point value to an
632 # uint.
633 #
634 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
635 # some optimizations in the i965 backend to proceed.
636 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
637 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
638 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
639 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
640
641 # Packing and then unpacking does nothing
642 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
643 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
644 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
645 ('unpack_64_2x32_split_y', a)), a),
646
647 # Byte extraction
648 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
649 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
650 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
651 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
652 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
653 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
654 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
655 ]
656
657 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
658 # patterns like those below.
659 for op in ('ushr', 'ishr'):
660 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
661 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
662 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
663
664 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
665
666 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
667 # patterns like those below.
668 for op in ('extract_u8', 'extract_i8'):
669 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
670 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
671 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
672
673 optimizations.extend([
674 # Word extraction
675 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
676 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
677 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
678 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
679 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
680
681 # Subtracts
682 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
683 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
684 (('ussub_4x8', a, 0), a),
685 (('ussub_4x8', a, ~0), 0),
686 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
687 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
688 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
689 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
690 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
691 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
692 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
693 (('iabs', ('isub', 0, a)), ('iabs', a)),
694
695 # Propagate negation up multiplication chains
696 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
697 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
698
699 # Propagate constants up multiplication chains
700 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
701 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
702 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
703 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
704
705 # Reassociate constants in add/mul chains so they can be folded together.
706 # For now, we mostly only handle cases where the constants are separated by
707 # a single non-constant. We could do better eventually.
708 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
709 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
710 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
711 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
712 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
713
714 # By definition...
715 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
716 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
717 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
718
719 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
720 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
721 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
722
723 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
724
725 # Misc. lowering
726 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod16'),
727 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
728 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
729 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
730 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
731 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
732
733 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
734 ('bcsel', ('ilt', 31, 'bits'), 'insert',
735 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
736 'options->lower_bitfield_insert'),
737 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
738 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
739 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
740 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
741 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
742 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
743
744 # Alternative lowering that doesn't rely on bfi.
745 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
746 ('bcsel', ('ilt', 31, 'bits'),
747 'insert',
748 ('ior',
749 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
750 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
751 'options->lower_bitfield_insert_to_shifts'),
752
753 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
754 (('bfm', 'bits', 'offset'),
755 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
756 'options->lower_bfm'),
757
758 (('ibitfield_extract', 'value', 'offset', 'bits'),
759 ('bcsel', ('ilt', 31, 'bits'), 'value',
760 ('ibfe', 'value', 'offset', 'bits')),
761 'options->lower_bitfield_extract'),
762
763 (('ubitfield_extract', 'value', 'offset', 'bits'),
764 ('bcsel', ('ult', 31, 'bits'), 'value',
765 ('ubfe', 'value', 'offset', 'bits')),
766 'options->lower_bitfield_extract'),
767
768 (('ibitfield_extract', 'value', 'offset', 'bits'),
769 ('bcsel', ('ieq', 0, 'bits'),
770 0,
771 ('ishr',
772 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
773 ('isub', 32, 'bits'))),
774 'options->lower_bitfield_extract_to_shifts'),
775
776 (('ubitfield_extract', 'value', 'offset', 'bits'),
777 ('iand',
778 ('ushr', 'value', 'offset'),
779 ('bcsel', ('ieq', 'bits', 32),
780 0xffffffff,
781 ('bfm', 'bits', 0))),
782 'options->lower_bitfield_extract_to_shifts'),
783
784 (('ifind_msb', 'value'),
785 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
786 'options->lower_ifind_msb'),
787
788 (('find_lsb', 'value'),
789 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
790 'options->lower_find_lsb'),
791
792 (('extract_i8', a, 'b@32'),
793 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
794 'options->lower_extract_byte'),
795
796 (('extract_u8', a, 'b@32'),
797 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
798 'options->lower_extract_byte'),
799
800 (('extract_i16', a, 'b@32'),
801 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
802 'options->lower_extract_word'),
803
804 (('extract_u16', a, 'b@32'),
805 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
806 'options->lower_extract_word'),
807
808 (('pack_unorm_2x16', 'v'),
809 ('pack_uvec2_to_uint',
810 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
811 'options->lower_pack_unorm_2x16'),
812
813 (('pack_unorm_4x8', 'v'),
814 ('pack_uvec4_to_uint',
815 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
816 'options->lower_pack_unorm_4x8'),
817
818 (('pack_snorm_2x16', 'v'),
819 ('pack_uvec2_to_uint',
820 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
821 'options->lower_pack_snorm_2x16'),
822
823 (('pack_snorm_4x8', 'v'),
824 ('pack_uvec4_to_uint',
825 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
826 'options->lower_pack_snorm_4x8'),
827
828 (('unpack_unorm_2x16', 'v'),
829 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
830 ('extract_u16', 'v', 1))),
831 65535.0),
832 'options->lower_unpack_unorm_2x16'),
833
834 (('unpack_unorm_4x8', 'v'),
835 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
836 ('extract_u8', 'v', 1),
837 ('extract_u8', 'v', 2),
838 ('extract_u8', 'v', 3))),
839 255.0),
840 'options->lower_unpack_unorm_4x8'),
841
842 (('unpack_snorm_2x16', 'v'),
843 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
844 ('extract_i16', 'v', 1))),
845 32767.0))),
846 'options->lower_unpack_snorm_2x16'),
847
848 (('unpack_snorm_4x8', 'v'),
849 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
850 ('extract_i8', 'v', 1),
851 ('extract_i8', 'v', 2),
852 ('extract_i8', 'v', 3))),
853 127.0))),
854 'options->lower_unpack_snorm_4x8'),
855
856 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
857 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
858 ])
859
860 # bit_size dependent lowerings
861 for bit_size in [8, 16, 32, 64]:
862 # convenience constants
863 intmax = (1 << (bit_size - 1)) - 1
864 intmin = 1 << (bit_size - 1)
865
866 optimizations += [
867 (('iadd_sat@' + str(bit_size), a, b),
868 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
869 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
870 (('isub_sat@' + str(bit_size), a, b),
871 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
872 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
873 ]
874
875 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
876
877 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
878 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
879 ('iand', (invert[left], a, b), (invert[right], c, d))))
880 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
881 ('ior', (invert[left], a, b), (invert[right], c, d))))
882
883 # Optimize x2bN(b2x(x)) -> x
884 for size in type_sizes('bool'):
885 aN = 'a@' + str(size)
886 f2bN = 'f2b' + str(size)
887 i2bN = 'i2b' + str(size)
888 optimizations.append(((f2bN, ('b2f', aN)), a))
889 optimizations.append(((i2bN, ('b2i', aN)), a))
890
891 # Optimize x2yN(b2x(x)) -> b2y
892 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
893 if x != 'f' and y != 'f' and x != y:
894 continue
895
896 b2x = 'b2f' if x == 'f' else 'b2i'
897 b2y = 'b2f' if y == 'f' else 'b2i'
898 x2yN = '{}2{}'.format(x, y)
899 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
900
901 # Optimize away x2xN(a@N)
902 for t in ['int', 'uint', 'float']:
903 for N in type_sizes(t):
904 x2xN = '{0}2{0}{1}'.format(t[0], N)
905 aN = 'a@{0}'.format(N)
906 optimizations.append(((x2xN, aN), a))
907
908 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
909 # In particular, we can optimize away everything except upcast of downcast and
910 # upcasts where the type differs from the other cast
911 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
912 if N < M:
913 # The outer cast is a down-cast. It doesn't matter what the size of the
914 # argument of the inner cast is because we'll never been in the upcast
915 # of downcast case. Regardless of types, we'll always end up with y2yN
916 # in the end.
917 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
918 x2xN = '{0}2{0}{1}'.format(x, N)
919 y2yM = '{0}2{0}{1}'.format(y, M)
920 y2yN = '{0}2{0}{1}'.format(y, N)
921 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
922 elif N > M:
923 # If the outer cast is an up-cast, we have to be more careful about the
924 # size of the argument of the inner cast and with types. In this case,
925 # the type is always the type of type up-cast which is given by the
926 # outer cast.
927 for P in type_sizes('uint'):
928 # We can't optimize away up-cast of down-cast.
929 if M < P:
930 continue
931
932 # Because we're doing down-cast of down-cast, the types always have
933 # to match between the two casts
934 for x in ['i', 'u']:
935 x2xN = '{0}2{0}{1}'.format(x, N)
936 x2xM = '{0}2{0}{1}'.format(x, M)
937 aP = 'a@{0}'.format(P)
938 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
939 else:
940 # The N == M case is handled by other optimizations
941 pass
942
943 def fexp2i(exp, bits):
944 # We assume that exp is already in the right range.
945 if bits == 16:
946 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
947 elif bits == 32:
948 return ('ishl', ('iadd', exp, 127), 23)
949 elif bits == 64:
950 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
951 else:
952 assert False
953
954 def ldexp(f, exp, bits):
955 # First, we clamp exp to a reasonable range. The maximum possible range
956 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
957 # a maximum range of [-149, 127]. This means that we can potentially have
958 # a swing of +-276. If you start with FLT_MAX, you actually have to do
959 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
960 # spec, on the other hand, only requires that we handle an exponent value
961 # in the range [-126, 128]. This implementation is *mostly* correct; it
962 # handles a range on exp of [-252, 254] which allows you to create any
963 # value (including denorms if the hardware supports it) and to adjust the
964 # exponent of any normal value to anything you want.
965 if bits == 16:
966 exp = ('imin', ('imax', exp, -28), 30)
967 elif bits == 32:
968 exp = ('imin', ('imax', exp, -252), 254)
969 elif bits == 64:
970 exp = ('imin', ('imax', exp, -2044), 2046)
971 else:
972 assert False
973
974 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
975 # (We use ishr which isn't the same for -1, but the -1 case still works
976 # since we use exp-exp/2 as the second exponent.) While the spec
977 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
978 # work with denormals and doesn't allow for the full swing in exponents
979 # that you can get with normalized values. Instead, we create two powers
980 # of two and multiply by them each in turn. That way the effective range
981 # of our exponent is doubled.
982 pow2_1 = fexp2i(('ishr', exp, 1), bits)
983 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
984 return ('fmul', ('fmul', f, pow2_1), pow2_2)
985
986 optimizations += [
987 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
988 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
989 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
990 ]
991
992 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
993 def bitfield_reverse(u):
994 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
995 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
996 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
997 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
998 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
999
1000 return step5
1001
1002 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1003
1004 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1005 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1006 # and, if a is a NaN then the second comparison will fail anyway.
1007 for op in ['flt', 'fge', 'feq']:
1008 optimizations += [
1009 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1010 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1011 ]
1012
1013 # Add optimizations to handle the case where the result of a ternary is
1014 # compared to a constant. This way we can take things like
1015 #
1016 # (a ? 0 : 1) > 0
1017 #
1018 # and turn it into
1019 #
1020 # a ? (0 > 0) : (1 > 0)
1021 #
1022 # which constant folding will eat for lunch. The resulting ternary will
1023 # further get cleaned up by the boolean reductions above and we will be
1024 # left with just the original variable "a".
1025 for op in ['flt', 'fge', 'feq', 'fne',
1026 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1027 optimizations += [
1028 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1029 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1030 ((op, '#d', ('bcsel', a, '#b', '#c')),
1031 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1032 ]
1033
1034
1035 # For example, this converts things like
1036 #
1037 # 1 + mix(0, a - 1, condition)
1038 #
1039 # into
1040 #
1041 # mix(1, (a-1)+1, condition)
1042 #
1043 # Other optimizations will rearrange the constants.
1044 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1045 optimizations += [
1046 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1047 ]
1048
1049 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1050 # states:
1051 #
1052 # If neither layout qualifier is specified, derivatives in compute shaders
1053 # return zero, which is consistent with the handling of built-in texture
1054 # functions like texture() in GLSL 4.50 compute shaders.
1055 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1056 'fddy', 'fddy_fine', 'fddy_coarse']:
1057 optimizations += [
1058 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1059 ]
1060
1061 # This section contains "late" optimizations that should be run before
1062 # creating ffmas and calling regular optimizations for the final time.
1063 # Optimizations should go here if they help code generation and conflict
1064 # with the regular optimizations.
1065 before_ffma_optimizations = [
1066 # Propagate constants down multiplication chains
1067 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1068 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1069 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1070 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1071
1072 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1073 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1074 (('~fadd', ('fneg', a), a), 0.0),
1075 (('iadd', ('ineg', a), a), 0),
1076 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1077 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1078 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1079 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1080
1081 (('~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)),
1082 (('~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)),
1083 (('~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))),
1084 ]
1085
1086 # This section contains "late" optimizations that should be run after the
1087 # regular optimizations have finished. Optimizations should go here if
1088 # they help code generation but do not necessarily produce code that is
1089 # more easily optimizable.
1090 late_optimizations = [
1091 # Most of these optimizations aren't quite safe when you get infinity or
1092 # Nan involved but the first one should be fine.
1093 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1094 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1095 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1096 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1097 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1098 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1099
1100 (('~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)))),
1101
1102 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1103 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1104 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1105 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1106
1107 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1108 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1109
1110 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a, 0.0, 1.0)),
1111 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a, -0.0, -1.0)),
1112
1113 # we do these late so that we don't get in the way of creating ffmas
1114 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1115 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1116
1117 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1118 ]
1119
1120 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1121 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1122 before_ffma_optimizations).render())
1123 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1124 late_optimizations).render())