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