anv,i965: Lower away image derefs in the driver
[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 (('fne', ('fadd', ('b2f', a), ('fneg', ('b2f', b))), 0.0), ('ixor', a, b)),
177 (('fne', ('b2f', a) , ('b2f', b) ), ('ixor', a, b)),
178 (('fne', ('fneg', ('b2f', a)), ('fneg', ('b2f', b))), ('ixor', a, b)),
179 (('feq', ('fadd', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
180 (('feq', ('fmax', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
181 (('feq', ('bcsel', a, 1.0, ('b2f', b)) , 0.0), ('inot', ('ior', a, b))),
182 (('feq', ('b2f', a), ('fneg', ('b2f', b))), ('inot', ('ior', a, b))),
183 (('feq', ('fmul', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
184 (('feq', ('fmin', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
185 (('feq', ('bcsel', a, ('b2f', b), 0.0) , 0.0), ('inot', ('iand', a, b))),
186 (('feq', ('fadd', ('b2f', a), ('fneg', ('b2f', b))), 0.0), ('ieq', a, b)),
187 (('feq', ('b2f', a) , ('b2f', b) ), ('ieq', a, b)),
188 (('feq', ('fneg', ('b2f', a)), ('fneg', ('b2f', b))), ('ieq', a, b)),
189
190 # -(b2f(a) + b2f(b)) < 0
191 # 0 < b2f(a) + b2f(b)
192 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
193 # a || b
194 (('flt', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('ior', a, b)),
195 (('flt', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('ior', a, b)),
196
197 # -(b2f(a) + b2f(b)) >= 0
198 # 0 >= b2f(a) + b2f(b)
199 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
200 # !(a || b)
201 (('fge', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('inot', ('ior', a, b))),
202 (('fge', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('inot', ('ior', a, b))),
203
204 # Some optimizations (below) convert things like (a < b || c < b) into
205 # (min(a, c) < b). However, this interfers with the previous optimizations
206 # that try to remove comparisons with negated sums of b2f. This just
207 # breaks that apart.
208 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', a), ('b2f', b)))), 0.0),
209 ('ior', ('flt', c, 0.0), ('ior', a, b))),
210
211 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
212 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
213 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
214 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
215
216 # Cannot remove the addition from ilt or ige due to overflow.
217 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
218 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
219
220 # fmin(-b2f(a), b) >= 0.0
221 # -b2f(a) >= 0.0 && b >= 0.0
222 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
223 # b2f(a) == 0.0 && b >= 0.0
224 # a == False && b >= 0.0
225 # !a && b >= 0.0
226 #
227 # The fge in the second replacement is not a typo. I leave the proof that
228 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
229 # reader.
230 (('fge', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
231 (('feq', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
232
233 (('feq', ('b2f', a), 0.0), ('inot', a)),
234 (('fne', ('b2f', a), 0.0), a),
235 (('ieq', ('b2i', a), 0), ('inot', a)),
236 (('ine', ('b2i', a), 0), a),
237
238 (('fne', ('u2f32', a), 0.0), ('ine', a, 0)),
239 (('feq', ('u2f32', a), 0.0), ('ieq', a, 0)),
240 (('fge', ('u2f32', a), 0.0), True),
241 (('fge', 0.0, ('u2f32', a)), ('uge', 0, a)), # ieq instead?
242 (('flt', ('u2f32', a), 0.0), False),
243 (('flt', 0.0, ('u2f32', a)), ('ult', 0, a)), # ine instead?
244 (('fne', ('i2f32', a), 0.0), ('ine', a, 0)),
245 (('feq', ('i2f32', a), 0.0), ('ieq', a, 0)),
246 (('fge', ('i2f32', a), 0.0), ('ige', a, 0)),
247 (('fge', 0.0, ('i2f32', a)), ('ige', 0, a)),
248 (('flt', ('i2f32', a), 0.0), ('ilt', a, 0)),
249 (('flt', 0.0, ('i2f32', a)), ('ilt', 0, a)),
250
251 # 0.0 < fabs(a)
252 # fabs(a) > 0.0
253 # fabs(a) != 0.0 because fabs(a) must be >= 0
254 # a != 0.0
255 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
256
257 # -fabs(a) < 0.0
258 # fabs(a) > 0.0
259 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
260
261 # 0.0 >= fabs(a)
262 # 0.0 == fabs(a) because fabs(a) must be >= 0
263 # 0.0 == a
264 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
265
266 # -fabs(a) >= 0.0
267 # 0.0 >= fabs(a)
268 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
269
270 (('fmax', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('ior', a, b))),
271 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('ior', a, b)))),
272 (('fmin', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('iand', a, b))),
273 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('iand', a, b)))),
274
275 # fmin(b2f(a), b)
276 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
277 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
278 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
279 #
280 # Since b is a constant, constant folding will eliminate the fmin and the
281 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
282 (('fmin', ('b2f', a), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
283
284 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
285
286 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
287 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
288 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
289 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
290 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
291 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
292 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
293 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
294 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
295 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
296 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
297 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
298 (('bcsel', a, True, 'b@bool'), ('ior', a, b)),
299 (('fmin', a, a), a),
300 (('fmax', a, a), a),
301 (('imin', a, a), a),
302 (('imax', a, a), a),
303 (('umin', a, a), a),
304 (('umax', a, a), a),
305 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
306 (('umax', ('umax', a, b), b), ('umax', a, b)),
307 (('imax', ('imax', a, b), b), ('imax', a, b)),
308 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
309 (('umin', ('umin', a, b), b), ('umin', a, b)),
310 (('imin', ('imin', a, b), b), ('imin', a, b)),
311 (('fmax', a, ('fneg', a)), ('fabs', a)),
312 (('imax', a, ('ineg', a)), ('iabs', a)),
313 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
314 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
315 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
316 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
317 (('fmin', a, ('fabs', a)), a),
318 (('imin', a, ('iabs', a)), a),
319 (('fmax', a, ('fneg', ('fabs', a))), a),
320 (('imax', a, ('ineg', ('iabs', a))), a),
321 (('fmax', a, ('fabs', a)), ('fabs', a)),
322 (('imax', a, ('iabs', a)), ('iabs', a)),
323 (('fmax', a, ('fneg', a)), ('fabs', a)),
324 (('imax', a, ('ineg', a)), ('iabs', a)),
325 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
326 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
327 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
328 (('fsat', ('fsat', a)), ('fsat', a)),
329 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
330 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
331 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
332 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
333 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
334 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
335 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
336 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
337 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
338 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
339 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
340 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
341 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
342 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
343 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
344 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
345 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
346 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
347 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
348 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
349 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
350 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
351
352 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
353 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
354 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
355 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
356 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
357 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
358 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
359 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
360 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
361 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
362 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
363 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
364 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
365 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
366 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
367 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
368
369 (('ior', 'a@bool', ('ieq', a, False)), True),
370 (('ior', 'a@bool', ('inot', a)), True),
371
372 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
373
374 # These patterns can result when (a < b || a < c) => (a < min(b, c))
375 # transformations occur before constant propagation and loop-unrolling.
376 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
377 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
378 (('~fge', a, ('fmin', b, a)), True),
379 (('~fge', ('fmax', a, b), a), True),
380 (('~flt', a, ('fmin', b, a)), False),
381 (('~flt', ('fmax', a, b), a), False),
382 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
383 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
384
385 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
386 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
387 (('ige', a, ('imin', b, a)), True),
388 (('ige', ('imax', a, b), a), True),
389 (('ult', a, ('umax', b, a)), ('ult', a, b)),
390 (('ult', ('umin', a, b), a), ('ult', b, a)),
391 (('uge', a, ('umin', b, a)), True),
392 (('uge', ('umax', a, b), a), True),
393 (('ilt', a, ('imin', b, a)), False),
394 (('ilt', ('imax', a, b), a), False),
395 (('ige', a, ('imax', b, a)), ('ige', a, b)),
396 (('ige', ('imin', a, b), a), ('ige', b, a)),
397 (('ult', a, ('umin', b, a)), False),
398 (('ult', ('umax', a, b), a), False),
399 (('uge', a, ('umax', b, a)), ('uge', a, b)),
400 (('uge', ('umin', a, b), a), ('uge', b, a)),
401
402 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
403 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
404 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
405 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
406 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
407 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
408 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
409 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
410 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
411 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
412 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
413 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
414 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
415 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
416 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
417 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
418
419 (('fabs', ('slt', a, b)), ('slt', a, b)),
420 (('fabs', ('sge', a, b)), ('sge', a, b)),
421 (('fabs', ('seq', a, b)), ('seq', a, b)),
422 (('fabs', ('sne', a, b)), ('sne', a, b)),
423 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
424 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
425 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
426 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
427 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
428 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
429 # Emulating booleans
430 (('imul', ('b2i', a), ('b2i', b)), ('b2i', ('iand', a, b))),
431 (('fmul', ('b2f', a), ('b2f', b)), ('b2f', ('iand', a, b))),
432 (('fsat', ('fadd', ('b2f', a), ('b2f', b))), ('b2f', ('ior', a, b))),
433 (('iand', 'a@bool', 1.0), ('b2f', a), '!options->lower_b2f'),
434 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
435 (('ineg', ('b2i@32', a)), a),
436 (('flt', ('fneg', ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
437 (('flt', ('fsub', 0.0, ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
438 # Comparison with the same args. Note that these are not done for
439 # the float versions because NaN always returns false on float
440 # inequalities.
441 (('ilt', a, a), False),
442 (('ige', a, a), True),
443 (('ieq', a, a), True),
444 (('ine', a, a), False),
445 (('ult', a, a), False),
446 (('uge', a, a), True),
447 # Logical and bit operations
448 (('fand', a, 0.0), 0.0),
449 (('iand', a, a), a),
450 (('iand', a, ~0), a),
451 (('iand', a, 0), 0),
452 (('ior', a, a), a),
453 (('ior', a, 0), a),
454 (('ior', a, True), True),
455 (('fxor', a, a), 0.0),
456 (('ixor', a, a), 0),
457 (('ixor', a, 0), a),
458 (('inot', ('inot', a)), a),
459 (('ior', ('iand', a, b), b), b),
460 (('ior', ('ior', a, b), b), ('ior', a, b)),
461 (('iand', ('ior', a, b), b), b),
462 (('iand', ('iand', a, b), b), ('iand', a, b)),
463 # DeMorgan's Laws
464 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
465 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
466 # Shift optimizations
467 (('ishl', 0, a), 0),
468 (('ishl', a, 0), a),
469 (('ishr', 0, a), 0),
470 (('ishr', a, 0), a),
471 (('ushr', 0, a), 0),
472 (('ushr', a, 0), a),
473 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
474 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
475 # Exponential/logarithmic identities
476 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
477 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
478 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
479 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
480 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
481 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
482 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
483 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
484 (('~fpow', a, 1.0), a),
485 (('~fpow', a, 2.0), ('fmul', a, a)),
486 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
487 (('~fpow', 2.0, a), ('fexp2', a)),
488 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
489 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
490 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
491 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
492 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
493 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
494 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
495 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
496 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
497 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
498 # Division and reciprocal
499 (('~fdiv', 1.0, a), ('frcp', a)),
500 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
501 (('~frcp', ('frcp', a)), a),
502 (('~frcp', ('fsqrt', a)), ('frsq', a)),
503 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
504 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
505 # Boolean simplifications
506 (('ieq', 'a@bool', True), a),
507 (('ine(is_not_used_by_if)', 'a@bool', True), ('inot', a)),
508 (('ine', 'a@bool', False), a),
509 (('ieq(is_not_used_by_if)', 'a@bool', False), ('inot', 'a')),
510 (('bcsel', a, True, False), a),
511 (('bcsel', a, False, True), ('inot', a)),
512 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
513 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
514 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
515 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
516 (('bcsel', True, b, c), b),
517 (('bcsel', False, b, c), c),
518 (('bcsel', a, ('b2f(is_used_once)', b), ('b2f', c)), ('b2f', ('bcsel', a, b, c))),
519 # The result of this should be hit by constant propagation and, in the
520 # next round of opt_algebraic, get picked up by one of the above two.
521 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
522
523 (('bcsel', a, b, b), b),
524 (('fcsel', a, b, b), b),
525
526 # Conversions
527 (('i2b', ('b2i', a)), a),
528 (('i2b', 'a@bool'), a),
529 (('f2i32', ('ftrunc', a)), ('f2i32', a)),
530 (('f2u32', ('ftrunc', a)), ('f2u32', a)),
531 (('i2b', ('ineg', a)), ('i2b', a)),
532 (('i2b', ('iabs', a)), ('i2b', a)),
533 (('fabs', ('b2f', a)), ('b2f', a)),
534 (('iabs', ('b2i', a)), ('b2i', a)),
535 (('inot', ('f2b', a)), ('feq', a, 0.0)),
536
537 # Ironically, mark these as imprecise because removing the conversions may
538 # preserve more precision than doing the conversions (e.g.,
539 # uint(float(0x81818181u)) == 0x81818200).
540 (('~f2i32', ('i2f32', 'a@32')), a),
541 (('~f2i32', ('u2f32', 'a@32')), a),
542 (('~f2u32', ('i2f32', 'a@32')), a),
543 (('~f2u32', ('u2f32', 'a@32')), a),
544
545 # Packing and then unpacking does nothing
546 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
547 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
548 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
549 ('unpack_64_2x32_split_y', a)), a),
550
551 # Byte extraction
552 (('ushr', ('ishl', 'a@32', 24), 24), ('extract_u8', a, 0), '!options->lower_extract_byte'),
553 (('ushr', ('ishl', 'a@32', 16), 24), ('extract_u8', a, 1), '!options->lower_extract_byte'),
554 (('ushr', ('ishl', 'a@32', 8), 24), ('extract_u8', a, 2), '!options->lower_extract_byte'),
555 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
556 (('ishr', ('ishl', 'a@32', 24), 24), ('extract_i8', a, 0), '!options->lower_extract_byte'),
557 (('ishr', ('ishl', 'a@32', 16), 24), ('extract_i8', a, 1), '!options->lower_extract_byte'),
558 (('ishr', ('ishl', 'a@32', 8), 24), ('extract_i8', a, 2), '!options->lower_extract_byte'),
559 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
560 (('iand', 0xff, ('ushr', a, 16)), ('extract_u8', a, 2), '!options->lower_extract_byte'),
561 (('iand', 0xff, ('ushr', a, 8)), ('extract_u8', a, 1), '!options->lower_extract_byte'),
562 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte'),
563
564 # Word extraction
565 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
566 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
567 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
568 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
569 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
570
571 # Subtracts
572 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
573 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
574 (('ussub_4x8', a, 0), a),
575 (('ussub_4x8', a, ~0), 0),
576 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
577 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
578 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
579 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
580 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
581 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
582 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
583 (('iabs', ('isub', 0, a)), ('iabs', a)),
584
585 # Propagate negation up multiplication chains
586 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
587 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
588
589 # Propagate constants up multiplication chains
590 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
591 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
592 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
593 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
594
595 # Reassociate constants in add/mul chains so they can be folded together.
596 # For now, we mostly only handle cases where the constants are separated by
597 # a single non-constant. We could do better eventually.
598 (('~fmul', '#a', ('fmul', b, '#c')), ('fmul', ('fmul', a, c), b)),
599 (('imul', '#a', ('imul', b, '#c')), ('imul', ('imul', a, c), b)),
600 (('~fadd', '#a', ('fadd', b, '#c')), ('fadd', ('fadd', a, c), b)),
601 (('~fadd', '#a', ('fneg', ('fadd', b, '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
602 (('iadd', '#a', ('iadd', b, '#c')), ('iadd', ('iadd', a, c), b)),
603
604 # By definition...
605 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
606 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
607 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
608
609 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
610 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
611 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
612
613 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
614
615 # Misc. lowering
616 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
617 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
618 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
619 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
620 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
621
622 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
623 ('bcsel', ('ilt', 31, 'bits'), 'insert',
624 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
625 'options->lower_bitfield_insert'),
626
627 # Alternative lowering that doesn't rely on bfi.
628 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
629 ('bcsel', ('ilt', 31, 'bits'),
630 'insert',
631 ('ior',
632 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
633 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
634 'options->lower_bitfield_insert_to_shifts'),
635
636 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
637 (('bfm', 'bits', 'offset'),
638 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
639 'options->lower_bfm'),
640
641 (('ibitfield_extract', 'value', 'offset', 'bits'),
642 ('bcsel', ('ilt', 31, 'bits'), 'value',
643 ('ibfe', 'value', 'offset', 'bits')),
644 'options->lower_bitfield_extract'),
645
646 (('ubitfield_extract', 'value', 'offset', 'bits'),
647 ('bcsel', ('ult', 31, 'bits'), 'value',
648 ('ubfe', 'value', 'offset', 'bits')),
649 'options->lower_bitfield_extract'),
650
651 (('ibitfield_extract', 'value', 'offset', 'bits'),
652 ('bcsel', ('ieq', 0, 'bits'),
653 0,
654 ('ishr',
655 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
656 ('isub', 32, 'bits'))),
657 'options->lower_bitfield_extract_to_shifts'),
658
659 (('ubitfield_extract', 'value', 'offset', 'bits'),
660 ('iand',
661 ('ushr', 'value', 'offset'),
662 ('bcsel', ('ieq', 'bits', 32),
663 0xffffffff,
664 ('bfm', 'bits', 0))),
665 'options->lower_bitfield_extract_to_shifts'),
666
667 (('ifind_msb', 'value'),
668 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
669 'options->lower_ifind_msb'),
670
671 (('find_lsb', 'value'),
672 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
673 'options->lower_find_lsb'),
674
675 (('extract_i8', a, 'b@32'),
676 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
677 'options->lower_extract_byte'),
678
679 (('extract_u8', a, 'b@32'),
680 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
681 'options->lower_extract_byte'),
682
683 (('extract_i16', a, 'b@32'),
684 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
685 'options->lower_extract_word'),
686
687 (('extract_u16', a, 'b@32'),
688 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
689 'options->lower_extract_word'),
690
691 (('pack_unorm_2x16', 'v'),
692 ('pack_uvec2_to_uint',
693 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
694 'options->lower_pack_unorm_2x16'),
695
696 (('pack_unorm_4x8', 'v'),
697 ('pack_uvec4_to_uint',
698 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
699 'options->lower_pack_unorm_4x8'),
700
701 (('pack_snorm_2x16', 'v'),
702 ('pack_uvec2_to_uint',
703 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
704 'options->lower_pack_snorm_2x16'),
705
706 (('pack_snorm_4x8', 'v'),
707 ('pack_uvec4_to_uint',
708 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
709 'options->lower_pack_snorm_4x8'),
710
711 (('unpack_unorm_2x16', 'v'),
712 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
713 ('extract_u16', 'v', 1))),
714 65535.0),
715 'options->lower_unpack_unorm_2x16'),
716
717 (('unpack_unorm_4x8', 'v'),
718 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
719 ('extract_u8', 'v', 1),
720 ('extract_u8', 'v', 2),
721 ('extract_u8', 'v', 3))),
722 255.0),
723 'options->lower_unpack_unorm_4x8'),
724
725 (('unpack_snorm_2x16', 'v'),
726 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec2', ('extract_i16', 'v', 0),
727 ('extract_i16', 'v', 1))),
728 32767.0))),
729 'options->lower_unpack_snorm_2x16'),
730
731 (('unpack_snorm_4x8', 'v'),
732 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec4', ('extract_i8', 'v', 0),
733 ('extract_i8', 'v', 1),
734 ('extract_i8', 'v', 2),
735 ('extract_i8', 'v', 3))),
736 127.0))),
737 'options->lower_unpack_snorm_4x8'),
738 ]
739
740 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
741
742 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
743 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
744 ('iand', (invert[left], a, b), (invert[right], c, d))))
745 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
746 ('ior', (invert[left], a, b), (invert[right], c, d))))
747
748 def fexp2i(exp, bits):
749 # We assume that exp is already in the right range.
750 if bits == 32:
751 return ('ishl', ('iadd', exp, 127), 23)
752 elif bits == 64:
753 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
754 else:
755 assert False
756
757 def ldexp(f, exp, bits):
758 # First, we clamp exp to a reasonable range. The maximum possible range
759 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
760 # a maximum range of [-149, 127]. This means that we can potentially have
761 # a swing of +-276. If you start with FLT_MAX, you actually have to do
762 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
763 # spec, on the other hand, only requires that we handle an exponent value
764 # in the range [-126, 128]. This implementation is *mostly* correct; it
765 # handles a range on exp of [-252, 254] which allows you to create any
766 # value (including denorms if the hardware supports it) and to adjust the
767 # exponent of any normal value to anything you want.
768 if bits == 32:
769 exp = ('imin', ('imax', exp, -252), 254)
770 elif bits == 64:
771 exp = ('imin', ('imax', exp, -2044), 2046)
772 else:
773 assert False
774
775 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
776 # (We use ishr which isn't the same for -1, but the -1 case still works
777 # since we use exp-exp/2 as the second exponent.) While the spec
778 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
779 # work with denormals and doesn't allow for the full swing in exponents
780 # that you can get with normalized values. Instead, we create two powers
781 # of two and multiply by them each in turn. That way the effective range
782 # of our exponent is doubled.
783 pow2_1 = fexp2i(('ishr', exp, 1), bits)
784 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
785 return ('fmul', ('fmul', f, pow2_1), pow2_2)
786
787 optimizations += [
788 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
789 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
790 ]
791
792 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
793 def bitfield_reverse(u):
794 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
795 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
796 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
797 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
798 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
799
800 return step5
801
802 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
803
804 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
805 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
806 # and, if a is a NaN then the second comparison will fail anyway.
807 for op in ['flt', 'fge', 'feq']:
808 optimizations += [
809 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
810 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
811 ]
812
813 # Add optimizations to handle the case where the result of a ternary is
814 # compared to a constant. This way we can take things like
815 #
816 # (a ? 0 : 1) > 0
817 #
818 # and turn it into
819 #
820 # a ? (0 > 0) : (1 > 0)
821 #
822 # which constant folding will eat for lunch. The resulting ternary will
823 # further get cleaned up by the boolean reductions above and we will be
824 # left with just the original variable "a".
825 for op in ['flt', 'fge', 'feq', 'fne',
826 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
827 optimizations += [
828 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
829 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
830 ((op, '#d', ('bcsel', a, '#b', '#c')),
831 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
832 ]
833
834
835 # For example, this converts things like
836 #
837 # 1 + mix(0, a - 1, condition)
838 #
839 # into
840 #
841 # mix(1, (a-1)+1, condition)
842 #
843 # Other optimizations will rearrange the constants.
844 for op in ['fadd', 'fmul', 'iadd', 'imul']:
845 optimizations += [
846 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
847 ]
848
849 # This section contains "late" optimizations that should be run before
850 # creating ffmas and calling regular optimizations for the final time.
851 # Optimizations should go here if they help code generation and conflict
852 # with the regular optimizations.
853 before_ffma_optimizations = [
854 # Propagate constants down multiplication chains
855 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
856 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
857 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
858 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
859
860 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
861 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
862 (('~fadd', ('fneg', a), a), 0.0),
863 (('iadd', ('ineg', a), a), 0),
864 (('iadd', ('ineg', a), ('iadd', a, b)), b),
865 (('iadd', a, ('iadd', ('ineg', a), b)), b),
866 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
867 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
868 ]
869
870 # This section contains "late" optimizations that should be run after the
871 # regular optimizations have finished. Optimizations should go here if
872 # they help code generation but do not necessarily produce code that is
873 # more easily optimizable.
874 late_optimizations = [
875 # Most of these optimizations aren't quite safe when you get infinity or
876 # Nan involved but the first one should be fine.
877 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
878 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
879 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
880 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
881 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
882 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
883
884 (('~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)))),
885
886 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
887 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
888 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
889 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
890
891 (('b2f(is_used_more_than_once)', ('inot', a)), ('bcsel', a, 0.0, 1.0)),
892 (('fneg(is_used_more_than_once)', ('b2f', ('inot', a))), ('bcsel', a, -0.0, -1.0)),
893
894 # we do these late so that we don't get in the way of creating ffmas
895 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
896 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
897
898 # Lowered for backends without a dedicated b2f instruction
899 (('b2f@32', a), ('iand', a, 1.0), 'options->lower_b2f'),
900 ]
901
902 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
903 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
904 before_ffma_optimizations).render())
905 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
906 late_optimizations).render())