nir: Transform expressions of b2f(a) and b2f(b) to !(a && b)
[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 import itertools
31
32 # Convenience variables
33 a = 'a'
34 b = 'b'
35 c = 'c'
36 d = 'd'
37
38 # Written in the form (<search>, <replace>) where <search> is an expression
39 # and <replace> is either an expression or a value. An expression is
40 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
41 # where each source is either an expression or a value. A value can be
42 # either a numeric constant or a string representing a variable name.
43 #
44 # If the opcode in a search expression is prefixed by a '~' character, this
45 # indicates that the operation is inexact. Such operations will only get
46 # applied to SSA values that do not have the exact bit set. This should be
47 # used by by any optimizations that are not bit-for-bit exact. It should not,
48 # however, be used for backend-requested lowering operations as those need to
49 # happen regardless of precision.
50 #
51 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
52 # that the given variable will only match constants and the type indicates that
53 # the given variable will only match values from ALU instructions with the
54 # given output type, and (cond) specifies an additional condition function
55 # (see nir_search_helpers.h).
56 #
57 # For constants, you have to be careful to make sure that it is the right
58 # type because python is unaware of the source and destination types of the
59 # opcodes.
60 #
61 # All expression types can have a bit-size specified. For opcodes, this
62 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
63 # type and size, and for literals, you can write "2.0@32". In the search half
64 # of the expression this indicates that it should only match that particular
65 # bit-size. In the replace half of the expression this indicates that the
66 # constructed value should have that bit-size.
67
68 optimizations = [
69
70 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b))),
71 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b))))),
72 (('udiv', a, 1), a),
73 (('idiv', a, 1), a),
74 (('umod', a, 1), 0),
75 (('imod', a, 1), 0),
76 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b))),
77 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
78 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
79 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
80
81 (('fneg', ('fneg', a)), a),
82 (('ineg', ('ineg', a)), a),
83 (('fabs', ('fabs', a)), ('fabs', a)),
84 (('fabs', ('fneg', a)), ('fabs', a)),
85 (('fabs', ('u2f32', a)), ('u2f32', a)),
86 (('iabs', ('iabs', a)), ('iabs', a)),
87 (('iabs', ('ineg', a)), ('iabs', a)),
88 (('~fadd', a, 0.0), a),
89 (('iadd', a, 0), a),
90 (('usadd_4x8', a, 0), a),
91 (('usadd_4x8', a, ~0), ~0),
92 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
93 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
94 (('~fadd', ('fneg', a), a), 0.0),
95 (('iadd', ('ineg', a), a), 0),
96 (('iadd', ('ineg', a), ('iadd', a, b)), b),
97 (('iadd', a, ('iadd', ('ineg', a), b)), b),
98 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
99 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
100 (('~fmul', a, 0.0), 0.0),
101 (('imul', a, 0), 0),
102 (('umul_unorm_4x8', a, 0), 0),
103 (('umul_unorm_4x8', a, ~0), a),
104 (('fmul', a, 1.0), a),
105 (('imul', a, 1), a),
106 (('fmul', a, -1.0), ('fneg', a)),
107 (('imul', a, -1), ('ineg', a)),
108 (('~ffma', 0.0, a, b), b),
109 (('~ffma', a, 0.0, b), b),
110 (('~ffma', a, b, 0.0), ('fmul', a, b)),
111 (('ffma', a, 1.0, b), ('fadd', a, b)),
112 (('ffma', 1.0, a, b), ('fadd', a, b)),
113 (('~flrp', a, b, 0.0), a),
114 (('~flrp', a, b, 1.0), b),
115 (('~flrp', a, a, b), a),
116 (('~flrp', 0.0, a, b), ('fmul', a, b)),
117 (('~flrp', a, b, ('b2f', c)), ('bcsel', c, b, a), 'options->lower_flrp32'),
118 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
119 (('flrp@32', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp32'),
120 (('flrp@64', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp64'),
121 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
122 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', c)))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
123 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
124 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
125 (('~fadd', a, ('fmul', ('b2f', c), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
126 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
127 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
128 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
129 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
130
131 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
132 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
133 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
134 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
135
136 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
137 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
138
139 # (a * #b + #c) << #d
140 # ((a * #b) << #d) + (#c << #d)
141 # (a * (#b << #d)) + (#c << #d)
142 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
143 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
144
145 # (a * #b) << #c
146 # a * (#b << #c)
147 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
148
149 # Comparison simplifications
150 (('~inot', ('flt', a, b)), ('fge', a, b)),
151 (('~inot', ('fge', a, b)), ('flt', a, b)),
152 (('~inot', ('feq', a, b)), ('fne', a, b)),
153 (('~inot', ('fne', a, b)), ('feq', a, b)),
154 (('inot', ('ilt', a, b)), ('ige', a, b)),
155 (('inot', ('ult', a, b)), ('uge', a, b)),
156 (('inot', ('ige', a, b)), ('ilt', a, b)),
157 (('inot', ('uge', a, b)), ('ult', a, b)),
158 (('inot', ('ieq', a, b)), ('ine', a, b)),
159 (('inot', ('ine', a, b)), ('ieq', a, b)),
160
161 # 0.0 >= b2f(a)
162 # b2f(a) <= 0.0
163 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
164 # inot(a)
165 (('fge', 0.0, ('b2f', a)), ('inot', a)),
166
167 (('fge', ('fneg', ('b2f', a)), 0.0), ('inot', a)),
168
169 (('fne', ('fadd', ('b2f', a), ('b2f', b)), 0.0), ('ior', a, b)),
170 (('fne', ('fmax', ('b2f', a), ('b2f', b)), 0.0), ('ior', a, b)),
171 (('fne', ('bcsel', a, 1.0, ('b2f', b)) , 0.0), ('ior', a, b)),
172 (('fne', ('b2f', a), ('fneg', ('b2f', b))), ('ior', a, b)),
173 (('fne', ('fmul', ('b2f', a), ('b2f', b)), 0.0), ('iand', a, b)),
174 (('fne', ('fmin', ('b2f', a), ('b2f', b)), 0.0), ('iand', a, b)),
175 (('fne', ('bcsel', a, ('b2f', b), 0.0) , 0.0), ('iand', a, b)),
176 (('feq', ('fadd', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
177 (('feq', ('fmax', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
178 (('feq', ('bcsel', a, 1.0, ('b2f', b)) , 0.0), ('inot', ('ior', a, b))),
179 (('feq', ('b2f', a), ('fneg', ('b2f', b))), ('inot', ('ior', a, b))),
180 (('feq', ('fmul', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
181 (('feq', ('fmin', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
182 (('feq', ('bcsel', a, ('b2f', b), 0.0) , 0.0), ('inot', ('iand', a, b))),
183
184 # -(b2f(a) + b2f(b)) < 0
185 # 0 < b2f(a) + b2f(b)
186 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
187 # a || b
188 (('flt', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('ior', a, b)),
189 (('flt', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('ior', a, b)),
190
191 # -(b2f(a) + b2f(b)) >= 0
192 # 0 >= b2f(a) + b2f(b)
193 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
194 # !(a || b)
195 (('fge', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('inot', ('ior', a, b))),
196 (('fge', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('inot', ('ior', a, b))),
197
198 # Some optimizations (below) convert things like (a < b || c < b) into
199 # (min(a, c) < b). However, this interfers with the previous optimizations
200 # that try to remove comparisons with negated sums of b2f. This just
201 # breaks that apart.
202 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', a), ('b2f', b)))), 0.0),
203 ('ior', ('flt', c, 0.0), ('ior', a, b))),
204
205 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
206 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
207 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
208 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
209
210 # Cannot remove the addition from ilt or ige due to overflow.
211 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
212 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
213
214 # fmin(-b2f(a), b) >= 0.0
215 # -b2f(a) >= 0.0 && b >= 0.0
216 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
217 # b2f(a) == 0.0 && b >= 0.0
218 # a == False && b >= 0.0
219 # !a && b >= 0.0
220 #
221 # The fge in the second replacement is not a typo. I leave the proof that
222 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
223 # reader.
224 (('fge', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
225 (('feq', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
226
227 (('feq', ('b2f', a), 0.0), ('inot', a)),
228 (('fne', ('b2f', a), 0.0), a),
229 (('ieq', ('b2i', a), 0), ('inot', a)),
230 (('ine', ('b2i', a), 0), a),
231
232 (('fne', ('u2f32', a), 0.0), ('ine', a, 0)),
233 (('feq', ('u2f32', a), 0.0), ('ieq', a, 0)),
234 (('fge', ('u2f32', a), 0.0), True),
235 (('fge', 0.0, ('u2f32', a)), ('uge', 0, a)), # ieq instead?
236 (('flt', ('u2f32', a), 0.0), False),
237 (('flt', 0.0, ('u2f32', a)), ('ult', 0, a)), # ine instead?
238 (('fne', ('i2f32', a), 0.0), ('ine', a, 0)),
239 (('feq', ('i2f32', a), 0.0), ('ieq', a, 0)),
240 (('fge', ('i2f32', a), 0.0), ('ige', a, 0)),
241 (('fge', 0.0, ('i2f32', a)), ('ige', 0, a)),
242 (('flt', ('i2f32', a), 0.0), ('ilt', a, 0)),
243 (('flt', 0.0, ('i2f32', a)), ('ilt', 0, a)),
244
245 # 0.0 < fabs(a)
246 # fabs(a) > 0.0
247 # fabs(a) != 0.0 because fabs(a) must be >= 0
248 # a != 0.0
249 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
250
251 # -fabs(a) < 0.0
252 # fabs(a) > 0.0
253 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
254
255 # 0.0 >= fabs(a)
256 # 0.0 == fabs(a) because fabs(a) must be >= 0
257 # 0.0 == a
258 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
259
260 # -fabs(a) >= 0.0
261 # 0.0 >= fabs(a)
262 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
263
264 (('fmax', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('ior', a, b))),
265 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('ior', a, b)))),
266 (('fmin', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('iand', a, b))),
267 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('iand', a, b)))),
268
269 # fmin(b2f(a), b)
270 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
271 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
272 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
273 #
274 # Since b is a constant, constant folding will eliminate the fmin and the
275 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
276 (('fmin', ('b2f', a), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
277
278 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
279
280 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
281 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
282 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
283 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
284 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
285 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
286 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
287 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
288 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
289 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
290 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
291 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
292 (('bcsel', a, True, 'b@bool'), ('ior', a, b)),
293 (('fmin', a, a), a),
294 (('fmax', a, a), a),
295 (('imin', a, a), a),
296 (('imax', a, a), a),
297 (('umin', a, a), a),
298 (('umax', a, a), a),
299 (('fmax', a, ('fneg', a)), ('fabs', a)),
300 (('imax', a, ('ineg', a)), ('iabs', a)),
301 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
302 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
303 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
304 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
305 (('fmin', a, ('fabs', a)), a),
306 (('imin', a, ('iabs', a)), a),
307 (('fmax', a, ('fneg', ('fabs', a))), a),
308 (('imax', a, ('ineg', ('iabs', a))), a),
309 (('fmax', a, ('fabs', a)), ('fabs', a)),
310 (('imax', a, ('iabs', a)), ('iabs', a)),
311 (('fmax', a, ('fneg', a)), ('fabs', a)),
312 (('imax', a, ('ineg', a)), ('iabs', a)),
313 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
314 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
315 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
316 (('fsat', ('fsat', a)), ('fsat', a)),
317 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
318 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
319 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
320 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
321 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
322 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
323 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
324 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
325 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
326 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
327 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
328 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
329 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
330 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
331 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
332 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
333 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
334 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
335 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
336 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
337 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
338 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
339
340 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
341 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
342 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
343 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
344 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
345 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
346 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
347 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
348 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
349 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
350 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
351 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
352 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
353 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
354 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
355 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
356
357 (('ior', 'a@bool', ('ieq', a, False)), True),
358 (('ior', 'a@bool', ('inot', a)), True),
359
360 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
361
362 # These patterns can result when (a < b || a < c) => (a < min(b, c))
363 # transformations occur before constant propagation and loop-unrolling.
364 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
365 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
366 (('~fge', a, ('fmin', b, a)), True),
367 (('~fge', ('fmax', a, b), a), True),
368 (('~flt', a, ('fmin', b, a)), False),
369 (('~flt', ('fmax', a, b), a), False),
370 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
371 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
372
373 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
374 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
375 (('ige', a, ('imin', b, a)), True),
376 (('ige', ('imax', a, b), a), True),
377 (('ult', a, ('umax', b, a)), ('ult', a, b)),
378 (('ult', ('umin', a, b), a), ('ult', b, a)),
379 (('uge', a, ('umin', b, a)), True),
380 (('uge', ('umax', a, b), a), True),
381 (('ilt', a, ('imin', b, a)), False),
382 (('ilt', ('imax', a, b), a), False),
383 (('ige', a, ('imax', b, a)), ('ige', a, b)),
384 (('ige', ('imin', a, b), a), ('ige', b, a)),
385 (('ult', a, ('umin', b, a)), False),
386 (('ult', ('umax', a, b), a), False),
387 (('uge', a, ('umax', b, a)), ('uge', a, b)),
388 (('uge', ('umin', a, b), a), ('uge', b, a)),
389
390 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
391 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
392 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
393 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
394 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
395 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
396 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
397 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
398 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
399 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
400 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
401 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
402 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
403 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
404 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
405 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
406
407 (('fabs', ('slt', a, b)), ('slt', a, b)),
408 (('fabs', ('sge', a, b)), ('sge', a, b)),
409 (('fabs', ('seq', a, b)), ('seq', a, b)),
410 (('fabs', ('sne', a, b)), ('sne', a, b)),
411 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
412 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
413 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
414 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
415 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
416 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
417 # Emulating booleans
418 (('imul', ('b2i', a), ('b2i', b)), ('b2i', ('iand', a, b))),
419 (('fmul', ('b2f', a), ('b2f', b)), ('b2f', ('iand', a, b))),
420 (('fsat', ('fadd', ('b2f', a), ('b2f', b))), ('b2f', ('ior', a, b))),
421 (('iand', 'a@bool', 1.0), ('b2f', a), '!options->lower_b2f'),
422 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
423 (('ineg', ('b2i@32', a)), a),
424 (('flt', ('fneg', ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
425 (('flt', ('fsub', 0.0, ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
426 # Comparison with the same args. Note that these are not done for
427 # the float versions because NaN always returns false on float
428 # inequalities.
429 (('ilt', a, a), False),
430 (('ige', a, a), True),
431 (('ieq', a, a), True),
432 (('ine', a, a), False),
433 (('ult', a, a), False),
434 (('uge', a, a), True),
435 # Logical and bit operations
436 (('fand', a, 0.0), 0.0),
437 (('iand', a, a), a),
438 (('iand', a, ~0), a),
439 (('iand', a, 0), 0),
440 (('ior', a, a), a),
441 (('ior', a, 0), a),
442 (('ior', a, True), True),
443 (('fxor', a, a), 0.0),
444 (('ixor', a, a), 0),
445 (('ixor', a, 0), a),
446 (('inot', ('inot', a)), a),
447 (('ior', ('iand', a, b), b), b),
448 (('ior', ('ior', a, b), b), ('ior', a, b)),
449 (('iand', ('ior', a, b), b), b),
450 (('iand', ('iand', a, b), b), ('iand', a, b)),
451 # DeMorgan's Laws
452 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
453 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
454 # Shift optimizations
455 (('ishl', 0, a), 0),
456 (('ishl', a, 0), a),
457 (('ishr', 0, a), 0),
458 (('ishr', a, 0), a),
459 (('ushr', 0, a), 0),
460 (('ushr', a, 0), a),
461 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
462 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
463 # Exponential/logarithmic identities
464 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
465 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
466 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
467 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
468 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
469 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
470 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
471 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
472 (('~fpow', a, 1.0), a),
473 (('~fpow', a, 2.0), ('fmul', a, a)),
474 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
475 (('~fpow', 2.0, a), ('fexp2', a)),
476 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
477 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
478 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
479 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
480 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
481 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
482 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
483 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
484 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
485 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
486 # Division and reciprocal
487 (('~fdiv', 1.0, a), ('frcp', a)),
488 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
489 (('~frcp', ('frcp', a)), a),
490 (('~frcp', ('fsqrt', a)), ('frsq', a)),
491 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
492 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
493 # Boolean simplifications
494 (('ieq', 'a@bool', True), a),
495 (('ine(is_not_used_by_if)', 'a@bool', True), ('inot', a)),
496 (('ine', 'a@bool', False), a),
497 (('ieq(is_not_used_by_if)', 'a@bool', False), ('inot', 'a')),
498 (('bcsel', a, True, False), a),
499 (('bcsel', a, False, True), ('inot', a)),
500 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
501 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
502 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
503 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
504 (('bcsel', True, b, c), b),
505 (('bcsel', False, b, c), c),
506 (('bcsel', a, ('b2f(is_used_once)', b), ('b2f', c)), ('b2f', ('bcsel', a, b, c))),
507 # The result of this should be hit by constant propagation and, in the
508 # next round of opt_algebraic, get picked up by one of the above two.
509 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
510
511 (('bcsel', a, b, b), b),
512 (('fcsel', a, b, b), b),
513
514 # Conversions
515 (('i2b', ('b2i', a)), a),
516 (('i2b', 'a@bool'), a),
517 (('f2i32', ('ftrunc', a)), ('f2i32', a)),
518 (('f2u32', ('ftrunc', a)), ('f2u32', a)),
519 (('i2b', ('ineg', a)), ('i2b', a)),
520 (('i2b', ('iabs', a)), ('i2b', a)),
521 (('fabs', ('b2f', a)), ('b2f', a)),
522 (('iabs', ('b2i', a)), ('b2i', a)),
523 (('inot', ('f2b', a)), ('feq', a, 0.0)),
524
525 # Ironically, mark these as imprecise because removing the conversions may
526 # preserve more precision than doing the conversions (e.g.,
527 # uint(float(0x81818181u)) == 0x81818200).
528 (('~f2i32', ('i2f32', 'a@32')), a),
529 (('~f2i32', ('u2f32', 'a@32')), a),
530 (('~f2u32', ('i2f32', 'a@32')), a),
531 (('~f2u32', ('u2f32', 'a@32')), a),
532
533 # Packing and then unpacking does nothing
534 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
535 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
536 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
537 ('unpack_64_2x32_split_y', a)), a),
538
539 # Byte extraction
540 (('ushr', a, 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
541 (('iand', 0xff, ('ushr', a, 16)), ('extract_u8', a, 2), '!options->lower_extract_byte'),
542 (('iand', 0xff, ('ushr', a, 8)), ('extract_u8', a, 1), '!options->lower_extract_byte'),
543 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte'),
544
545 # Word extraction
546 (('ushr', a, 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
547 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
548
549 # Subtracts
550 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
551 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
552 (('ussub_4x8', a, 0), a),
553 (('ussub_4x8', a, ~0), 0),
554 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
555 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
556 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
557 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
558 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
559 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
560 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
561 (('iabs', ('isub', 0, a)), ('iabs', a)),
562
563 # Propagate negation up multiplication chains
564 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
565 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
566
567 # Propagate constants up multiplication chains
568 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
569 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
570 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
571 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
572
573 # Reassociate constants in add/mul chains so they can be folded together.
574 # For now, we mostly only handle cases where the constants are separated by
575 # a single non-constant. We could do better eventually.
576 (('~fmul', '#a', ('fmul', b, '#c')), ('fmul', ('fmul', a, c), b)),
577 (('imul', '#a', ('imul', b, '#c')), ('imul', ('imul', a, c), b)),
578 (('~fadd', '#a', ('fadd', b, '#c')), ('fadd', ('fadd', a, c), b)),
579 (('~fadd', '#a', ('fneg', ('fadd', b, '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
580 (('iadd', '#a', ('iadd', b, '#c')), ('iadd', ('iadd', a, c), b)),
581
582 # By definition...
583 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
584 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
585 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
586
587 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
588 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
589 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
590
591 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
592
593 # Misc. lowering
594 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
595 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
596 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
597 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
598 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
599
600 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
601 ('bcsel', ('ilt', 31, 'bits'), 'insert',
602 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
603 'options->lower_bitfield_insert'),
604
605 # Alternative lowering that doesn't rely on bfi.
606 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
607 ('bcsel', ('ilt', 31, 'bits'),
608 'insert',
609 ('ior',
610 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
611 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
612 'options->lower_bitfield_insert_to_shifts'),
613
614 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
615 (('bfm', 'bits', 'offset'),
616 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
617 'options->lower_bfm'),
618
619 (('ibitfield_extract', 'value', 'offset', 'bits'),
620 ('bcsel', ('ilt', 31, 'bits'), 'value',
621 ('ibfe', 'value', 'offset', 'bits')),
622 'options->lower_bitfield_extract'),
623
624 (('ubitfield_extract', 'value', 'offset', 'bits'),
625 ('bcsel', ('ult', 31, 'bits'), 'value',
626 ('ubfe', 'value', 'offset', 'bits')),
627 'options->lower_bitfield_extract'),
628
629 (('ibitfield_extract', 'value', 'offset', 'bits'),
630 ('bcsel', ('ieq', 0, 'bits'),
631 0,
632 ('ishr',
633 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
634 ('isub', 32, 'bits'))),
635 'options->lower_bitfield_extract_to_shifts'),
636
637 (('ubitfield_extract', 'value', 'offset', 'bits'),
638 ('iand',
639 ('ushr', 'value', 'offset'),
640 ('bcsel', ('ieq', 'bits', 32),
641 0xffffffff,
642 ('bfm', 'bits', 0))),
643 'options->lower_bitfield_extract_to_shifts'),
644
645 (('ifind_msb', 'value'),
646 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
647 'options->lower_ifind_msb'),
648
649 (('find_lsb', 'value'),
650 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
651 'options->lower_find_lsb'),
652
653 (('extract_i8', a, 'b@32'),
654 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
655 'options->lower_extract_byte'),
656
657 (('extract_u8', a, 'b@32'),
658 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
659 'options->lower_extract_byte'),
660
661 (('extract_i16', a, 'b@32'),
662 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
663 'options->lower_extract_word'),
664
665 (('extract_u16', a, 'b@32'),
666 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
667 'options->lower_extract_word'),
668
669 (('pack_unorm_2x16', 'v'),
670 ('pack_uvec2_to_uint',
671 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
672 'options->lower_pack_unorm_2x16'),
673
674 (('pack_unorm_4x8', 'v'),
675 ('pack_uvec4_to_uint',
676 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
677 'options->lower_pack_unorm_4x8'),
678
679 (('pack_snorm_2x16', 'v'),
680 ('pack_uvec2_to_uint',
681 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
682 'options->lower_pack_snorm_2x16'),
683
684 (('pack_snorm_4x8', 'v'),
685 ('pack_uvec4_to_uint',
686 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
687 'options->lower_pack_snorm_4x8'),
688
689 (('unpack_unorm_2x16', 'v'),
690 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
691 ('extract_u16', 'v', 1))),
692 65535.0),
693 'options->lower_unpack_unorm_2x16'),
694
695 (('unpack_unorm_4x8', 'v'),
696 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
697 ('extract_u8', 'v', 1),
698 ('extract_u8', 'v', 2),
699 ('extract_u8', 'v', 3))),
700 255.0),
701 'options->lower_unpack_unorm_4x8'),
702
703 (('unpack_snorm_2x16', 'v'),
704 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec2', ('extract_i16', 'v', 0),
705 ('extract_i16', 'v', 1))),
706 32767.0))),
707 'options->lower_unpack_snorm_2x16'),
708
709 (('unpack_snorm_4x8', 'v'),
710 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec4', ('extract_i8', 'v', 0),
711 ('extract_i8', 'v', 1),
712 ('extract_i8', 'v', 2),
713 ('extract_i8', 'v', 3))),
714 127.0))),
715 'options->lower_unpack_snorm_4x8'),
716 ]
717
718 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
719
720 for left, right in list(itertools.combinations(invert.keys(), 2)) + zip(invert.keys(), invert.keys()):
721 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
722 ('iand', (invert[left], a, b), (invert[right], c, d))))
723 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
724 ('ior', (invert[left], a, b), (invert[right], c, d))))
725
726 def fexp2i(exp, bits):
727 # We assume that exp is already in the right range.
728 if bits == 32:
729 return ('ishl', ('iadd', exp, 127), 23)
730 elif bits == 64:
731 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
732 else:
733 assert False
734
735 def ldexp(f, exp, bits):
736 # First, we clamp exp to a reasonable range. The maximum possible range
737 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
738 # a maximum range of [-149, 127]. This means that we can potentially have
739 # a swing of +-276. If you start with FLT_MAX, you actually have to do
740 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
741 # spec, on the other hand, only requires that we handle an exponent value
742 # in the range [-126, 128]. This implementation is *mostly* correct; it
743 # handles a range on exp of [-252, 254] which allows you to create any
744 # value (including denorms if the hardware supports it) and to adjust the
745 # exponent of any normal value to anything you want.
746 if bits == 32:
747 exp = ('imin', ('imax', exp, -252), 254)
748 elif bits == 64:
749 exp = ('imin', ('imax', exp, -2044), 2046)
750 else:
751 assert False
752
753 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
754 # (We use ishr which isn't the same for -1, but the -1 case still works
755 # since we use exp-exp/2 as the second exponent.) While the spec
756 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
757 # work with denormals and doesn't allow for the full swing in exponents
758 # that you can get with normalized values. Instead, we create two powers
759 # of two and multiply by them each in turn. That way the effective range
760 # of our exponent is doubled.
761 pow2_1 = fexp2i(('ishr', exp, 1), bits)
762 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
763 return ('fmul', ('fmul', f, pow2_1), pow2_2)
764
765 optimizations += [
766 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
767 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
768 ]
769
770 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
771 def bitfield_reverse(u):
772 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
773 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
774 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
775 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
776 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
777
778 return step5
779
780 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
781
782 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
783 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
784 # and, if a is a NaN then the second comparison will fail anyway.
785 for op in ['flt', 'fge', 'feq']:
786 optimizations += [
787 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
788 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
789 ]
790
791 # Add optimizations to handle the case where the result of a ternary is
792 # compared to a constant. This way we can take things like
793 #
794 # (a ? 0 : 1) > 0
795 #
796 # and turn it into
797 #
798 # a ? (0 > 0) : (1 > 0)
799 #
800 # which constant folding will eat for lunch. The resulting ternary will
801 # further get cleaned up by the boolean reductions above and we will be
802 # left with just the original variable "a".
803 for op in ['flt', 'fge', 'feq', 'fne',
804 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
805 optimizations += [
806 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
807 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
808 ((op, '#d', ('bcsel', a, '#b', '#c')),
809 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
810 ]
811
812
813 # For example, this converts things like
814 #
815 # 1 + mix(0, a - 1, condition)
816 #
817 # into
818 #
819 # mix(1, (a-1)+1, condition)
820 #
821 # Other optimizations will rearrange the constants.
822 for op in ['fadd', 'fmul', 'iadd', 'imul']:
823 optimizations += [
824 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
825 ]
826
827 # This section contains "late" optimizations that should be run before
828 # creating ffmas and calling regular optimizations for the final time.
829 # Optimizations should go here if they help code generation and conflict
830 # with the regular optimizations.
831 before_ffma_optimizations = [
832 # Propagate constants down multiplication chains
833 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
834 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
835 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
836 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
837
838 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
839 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
840 (('~fadd', ('fneg', a), a), 0.0),
841 (('iadd', ('ineg', a), a), 0),
842 (('iadd', ('ineg', a), ('iadd', a, b)), b),
843 (('iadd', a, ('iadd', ('ineg', a), b)), b),
844 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
845 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
846 ]
847
848 # This section contains "late" optimizations that should be run after the
849 # regular optimizations have finished. Optimizations should go here if
850 # they help code generation but do not necessarily produce code that is
851 # more easily optimizable.
852 late_optimizations = [
853 # Most of these optimizations aren't quite safe when you get infinity or
854 # Nan involved but the first one should be fine.
855 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
856 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
857 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
858 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
859 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
860 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
861
862 (('~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)))),
863
864 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
865 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
866 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
867 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
868
869 (('b2f(is_used_more_than_once)', ('inot', a)), ('bcsel', a, 0.0, 1.0)),
870 (('fneg(is_used_more_than_once)', ('b2f', ('inot', a))), ('bcsel', a, -0.0, -1.0)),
871
872 # we do these late so that we don't get in the way of creating ffmas
873 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
874 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
875
876 # Lowered for backends without a dedicated b2f instruction
877 (('b2f@32', a), ('iand', a, 1.0), 'options->lower_b2f'),
878 ]
879
880 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
881 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
882 before_ffma_optimizations).render())
883 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
884 late_optimizations).render())