nir/algebraic: Optimize 1-bit Booleans
[mesa.git] / src / compiler / nir / nir_opt_algebraic.py
1 #
2 # Copyright (C) 2014 Intel Corporation
3 #
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5 # copy of this software and associated documentation files (the "Software"),
6 # to deal in the Software without restriction, including without limitation
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9 # Software is furnished to do so, subject to the following conditions:
10 #
11 # The above copyright notice and this permission notice (including the next
12 # paragraph) shall be included in all copies or substantial portions of the
13 # Software.
14 #
15 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
18 # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
20 # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
21 # IN THE SOFTWARE.
22 #
23 # Authors:
24 # Jason Ekstrand (jason@jlekstrand.net)
25
26 from __future__ import print_function
27
28 from collections import OrderedDict
29 import nir_algebraic
30 from nir_opcodes import type_sizes
31 import itertools
32
33 # Convenience variables
34 a = 'a'
35 b = 'b'
36 c = 'c'
37 d = 'd'
38
39 # Written in the form (<search>, <replace>) where <search> is an expression
40 # and <replace> is either an expression or a value. An expression is
41 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
42 # where each source is either an expression or a value. A value can be
43 # either a numeric constant or a string representing a variable name.
44 #
45 # If the opcode in a search expression is prefixed by a '~' character, this
46 # indicates that the operation is inexact. Such operations will only get
47 # applied to SSA values that do not have the exact bit set. This should be
48 # used by by any optimizations that are not bit-for-bit exact. It should not,
49 # however, be used for backend-requested lowering operations as those need to
50 # happen regardless of precision.
51 #
52 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
53 # that the given variable will only match constants and the type indicates that
54 # the given variable will only match values from ALU instructions with the
55 # given output type, and (cond) specifies an additional condition function
56 # (see nir_search_helpers.h).
57 #
58 # For constants, you have to be careful to make sure that it is the right
59 # type because python is unaware of the source and destination types of the
60 # opcodes.
61 #
62 # All expression types can have a bit-size specified. For opcodes, this
63 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
64 # type and size, and for literals, you can write "2.0@32". In the search half
65 # of the expression this indicates that it should only match that particular
66 # bit-size. In the replace half of the expression this indicates that the
67 # constructed value should have that bit-size.
68
69 optimizations = [
70
71 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b))),
72 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b))))),
73 (('udiv', a, 1), a),
74 (('idiv', a, 1), a),
75 (('umod', a, 1), 0),
76 (('imod', a, 1), 0),
77 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b))),
78 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
79 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
80 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
81
82 (('fneg', ('fneg', a)), a),
83 (('ineg', ('ineg', a)), a),
84 (('fabs', ('fabs', a)), ('fabs', a)),
85 (('fabs', ('fneg', a)), ('fabs', a)),
86 (('fabs', ('u2f', a)), ('u2f', a)),
87 (('iabs', ('iabs', a)), ('iabs', a)),
88 (('iabs', ('ineg', a)), ('iabs', a)),
89 (('f2b', ('fneg', a)), ('f2b', a)),
90 (('i2b', ('ineg', a)), ('i2b', a)),
91 (('~fadd', a, 0.0), a),
92 (('iadd', a, 0), a),
93 (('usadd_4x8', a, 0), a),
94 (('usadd_4x8', a, ~0), ~0),
95 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
96 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
97 (('~fadd', ('fneg', a), a), 0.0),
98 (('iadd', ('ineg', a), a), 0),
99 (('iadd', ('ineg', a), ('iadd', a, b)), b),
100 (('iadd', a, ('iadd', ('ineg', a), b)), b),
101 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
102 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
103 (('~fmul', a, 0.0), 0.0),
104 (('imul', a, 0), 0),
105 (('umul_unorm_4x8', a, 0), 0),
106 (('umul_unorm_4x8', a, ~0), a),
107 (('fmul', a, 1.0), a),
108 (('imul', a, 1), a),
109 (('fmul', a, -1.0), ('fneg', a)),
110 (('imul', a, -1), ('ineg', a)),
111 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
112 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
113 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
114 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
115 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
116 (('~ffma', 0.0, a, b), b),
117 (('~ffma', a, 0.0, b), b),
118 (('~ffma', a, b, 0.0), ('fmul', a, b)),
119 (('ffma', a, 1.0, b), ('fadd', a, b)),
120 (('ffma', 1.0, a, b), ('fadd', a, b)),
121 (('~flrp', a, b, 0.0), a),
122 (('~flrp', a, b, 1.0), b),
123 (('~flrp', a, a, b), a),
124 (('~flrp', 0.0, a, b), ('fmul', a, b)),
125 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
126 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
127 (('flrp@32', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp32'),
128 (('flrp@64', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp64'),
129 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
130 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
131 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
132 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
133 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
134 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
135 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
136 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
137 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
138 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
139 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
140
141 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
142 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
143 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
144 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
145
146 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
147 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
148
149 # (a * #b + #c) << #d
150 # ((a * #b) << #d) + (#c << #d)
151 # (a * (#b << #d)) + (#c << #d)
152 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
153 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
154
155 # (a * #b) << #c
156 # a * (#b << #c)
157 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
158
159 # Comparison simplifications
160 (('~inot', ('flt', a, b)), ('fge', a, b)),
161 (('~inot', ('fge', a, b)), ('flt', a, b)),
162 (('~inot', ('feq', a, b)), ('fne', a, b)),
163 (('~inot', ('fne', a, b)), ('feq', a, b)),
164 (('inot', ('ilt', a, b)), ('ige', a, b)),
165 (('inot', ('ult', a, b)), ('uge', a, b)),
166 (('inot', ('ige', a, b)), ('ilt', a, b)),
167 (('inot', ('uge', a, b)), ('ult', a, b)),
168 (('inot', ('ieq', a, b)), ('ine', a, b)),
169 (('inot', ('ine', a, b)), ('ieq', a, b)),
170
171 # 0.0 >= b2f(a)
172 # b2f(a) <= 0.0
173 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
174 # inot(a)
175 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
176
177 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
178
179 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
180 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
181 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
182 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
183 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
184 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
185 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
186 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
187 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
188 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
189 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
190 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
191 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
192 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
193 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
194 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
195 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
196 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
197 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
198 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
199
200 # -(b2f(a) + b2f(b)) < 0
201 # 0 < b2f(a) + b2f(b)
202 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
203 # a || b
204 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
205 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
206
207 # -(b2f(a) + b2f(b)) >= 0
208 # 0 >= b2f(a) + b2f(b)
209 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
210 # !(a || b)
211 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
212 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
213
214 # Some optimizations (below) convert things like (a < b || c < b) into
215 # (min(a, c) < b). However, this interfers with the previous optimizations
216 # that try to remove comparisons with negated sums of b2f. This just
217 # breaks that apart.
218 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
219 ('ior', ('flt', c, 0.0), ('ior', a, b))),
220
221 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
222 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
223 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
224 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
225
226 # Cannot remove the addition from ilt or ige due to overflow.
227 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
228 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
229
230 # fmin(-b2f(a), b) >= 0.0
231 # -b2f(a) >= 0.0 && b >= 0.0
232 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
233 # b2f(a) == 0.0 && b >= 0.0
234 # a == False && b >= 0.0
235 # !a && b >= 0.0
236 #
237 # The fge in the second replacement is not a typo. I leave the proof that
238 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
239 # reader.
240 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
241 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
242
243 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
244 (('fne', ('b2f', 'a@1'), 0.0), a),
245 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
246 (('ine', ('b2i', 'a@1'), 0), a),
247
248 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
249 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
250 (('fge', ('u2f', a), 0.0), True),
251 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
252 (('flt', ('u2f', a), 0.0), False),
253 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
254 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
255 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
256 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
257 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
258 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
259 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
260
261 # 0.0 < fabs(a)
262 # fabs(a) > 0.0
263 # fabs(a) != 0.0 because fabs(a) must be >= 0
264 # a != 0.0
265 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
266
267 # -fabs(a) < 0.0
268 # fabs(a) > 0.0
269 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
270
271 # 0.0 >= fabs(a)
272 # 0.0 == fabs(a) because fabs(a) must be >= 0
273 # 0.0 == a
274 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
275
276 # -fabs(a) >= 0.0
277 # 0.0 >= fabs(a)
278 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
279
280 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
281 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
282 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
283 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
284
285 # fmin(b2f(a), b)
286 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
287 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
288 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
289 #
290 # Since b is a constant, constant folding will eliminate the fmin and the
291 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
292 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
293
294 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
295
296 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
297 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
298 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
299 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
300 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
301 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
302 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
303 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
304 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
305 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
306 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
307 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
308 (('bcsel', a, True, 'b@bool'), ('ior', a, b)),
309 (('fmin', a, a), a),
310 (('fmax', a, a), a),
311 (('imin', a, a), a),
312 (('imax', a, a), a),
313 (('umin', a, a), a),
314 (('umax', a, a), a),
315 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
316 (('umax', ('umax', a, b), b), ('umax', a, b)),
317 (('imax', ('imax', a, b), b), ('imax', a, b)),
318 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
319 (('umin', ('umin', a, b), b), ('umin', a, b)),
320 (('imin', ('imin', a, b), b), ('imin', a, b)),
321 (('fmax', a, ('fneg', a)), ('fabs', a)),
322 (('imax', a, ('ineg', a)), ('iabs', a)),
323 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
324 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
325 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
326 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
327 (('fmin', a, ('fabs', a)), a),
328 (('imin', a, ('iabs', a)), a),
329 (('fmax', a, ('fneg', ('fabs', a))), a),
330 (('imax', a, ('ineg', ('iabs', a))), a),
331 (('fmax', a, ('fabs', a)), ('fabs', a)),
332 (('imax', a, ('iabs', a)), ('iabs', a)),
333 (('fmax', a, ('fneg', a)), ('fabs', a)),
334 (('imax', a, ('ineg', a)), ('iabs', a)),
335 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
336 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
337 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
338 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
339 (('fsat', ('fsat', a)), ('fsat', a)),
340 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
341 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
342 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
343 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
344 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
345 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
346 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
347 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
348 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
349 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
350 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
351 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
352 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
353 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
354 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
355 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
356 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
357 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
358 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
359 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
360 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
361 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
362
363 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
364 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
365 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
366 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
367 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
368 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
369 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
370 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
371 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
372 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
373 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
374 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
375 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
376 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
377 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
378 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
379
380 (('ior', 'a@bool', ('ieq', a, False)), True),
381 (('ior', a, ('inot', a)), -1),
382
383 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
384
385 # These patterns can result when (a < b || a < c) => (a < min(b, c))
386 # transformations occur before constant propagation and loop-unrolling.
387 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
388 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
389 (('~fge', a, ('fmin', b, a)), True),
390 (('~fge', ('fmax', a, b), a), True),
391 (('~flt', a, ('fmin', b, a)), False),
392 (('~flt', ('fmax', a, b), a), False),
393 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
394 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
395
396 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
397 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
398 (('ige', a, ('imin', b, a)), True),
399 (('ige', ('imax', a, b), a), True),
400 (('ult', a, ('umax', b, a)), ('ult', a, b)),
401 (('ult', ('umin', a, b), a), ('ult', b, a)),
402 (('uge', a, ('umin', b, a)), True),
403 (('uge', ('umax', a, b), a), True),
404 (('ilt', a, ('imin', b, a)), False),
405 (('ilt', ('imax', a, b), a), False),
406 (('ige', a, ('imax', b, a)), ('ige', a, b)),
407 (('ige', ('imin', a, b), a), ('ige', b, a)),
408 (('ult', a, ('umin', b, a)), False),
409 (('ult', ('umax', a, b), a), False),
410 (('uge', a, ('umax', b, a)), ('uge', a, b)),
411 (('uge', ('umin', a, b), a), ('uge', b, a)),
412
413 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
414 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
415 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
416 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
417 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
418 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
419 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
420 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
421 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
422 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
423 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
424 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
425 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
426 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
427 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
428 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
429
430 (('fabs', ('slt', a, b)), ('slt', a, b)),
431 (('fabs', ('sge', a, b)), ('sge', a, b)),
432 (('fabs', ('seq', a, b)), ('seq', a, b)),
433 (('fabs', ('sne', a, b)), ('sne', a, b)),
434 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
435 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
436 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
437 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
438 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
439 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
440 # Emulating booleans
441 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
442 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
443 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
444 (('iand', 'a@bool32', 1.0), ('b2f', a)),
445 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
446 (('ineg', ('b2i32', 'a@32')), a),
447 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
448 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
449 # Comparison with the same args. Note that these are not done for
450 # the float versions because NaN always returns false on float
451 # inequalities.
452 (('ilt', a, a), False),
453 (('ige', a, a), True),
454 (('ieq', a, a), True),
455 (('ine', a, a), False),
456 (('ult', a, a), False),
457 (('uge', a, a), True),
458 # Logical and bit operations
459 (('fand', a, 0.0), 0.0),
460 (('iand', a, a), a),
461 (('iand', a, ~0), a),
462 (('iand', a, 0), 0),
463 (('ior', a, a), a),
464 (('ior', a, 0), a),
465 (('ior', a, True), True),
466 (('fxor', a, a), 0.0),
467 (('ixor', a, a), 0),
468 (('ixor', a, 0), a),
469 (('inot', ('inot', a)), a),
470 (('ior', ('iand', a, b), b), b),
471 (('ior', ('ior', a, b), b), ('ior', a, b)),
472 (('iand', ('ior', a, b), b), b),
473 (('iand', ('iand', a, b), b), ('iand', a, b)),
474 # DeMorgan's Laws
475 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
476 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
477 # Shift optimizations
478 (('ishl', 0, a), 0),
479 (('ishl', a, 0), a),
480 (('ishr', 0, a), 0),
481 (('ishr', a, 0), a),
482 (('ushr', 0, a), 0),
483 (('ushr', a, 0), a),
484 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
485 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
486 # Exponential/logarithmic identities
487 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
488 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
489 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
490 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
491 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
492 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
493 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
494 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
495 (('~fpow', a, 1.0), a),
496 (('~fpow', a, 2.0), ('fmul', a, a)),
497 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
498 (('~fpow', 2.0, a), ('fexp2', a)),
499 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
500 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
501 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
502 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
503 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
504 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
505 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
506 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
507 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
508 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
509 # Division and reciprocal
510 (('~fdiv', 1.0, a), ('frcp', a)),
511 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
512 (('~frcp', ('frcp', a)), a),
513 (('~frcp', ('fsqrt', a)), ('frsq', a)),
514 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
515 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
516 # Boolean simplifications
517 (('ieq', 'a@bool', True), a),
518 (('ine(is_not_used_by_if)', 'a@bool', True), ('inot', a)),
519 (('ine', 'a@bool', False), a),
520 (('ieq(is_not_used_by_if)', 'a@bool', False), ('inot', 'a')),
521 (('bcsel', a, True, False), a),
522 (('bcsel', a, False, True), ('inot', a)),
523 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
524 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
525 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
526 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
527 (('bcsel', True, b, c), b),
528 (('bcsel', False, b, c), c),
529 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
530 # The result of this should be hit by constant propagation and, in the
531 # next round of opt_algebraic, get picked up by one of the above two.
532 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
533
534 (('bcsel', a, b, b), b),
535 (('fcsel', a, b, b), b),
536
537 # Conversions
538 (('i2b32', ('b2i', 'a@32')), a),
539 (('f2i', ('ftrunc', a)), ('f2i', a)),
540 (('f2u', ('ftrunc', a)), ('f2u', a)),
541 (('i2b', ('ineg', a)), ('i2b', a)),
542 (('i2b', ('iabs', a)), ('i2b', a)),
543 (('fabs', ('b2f', a)), ('b2f', a)),
544 (('iabs', ('b2i', a)), ('b2i', a)),
545 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
546
547 # Ironically, mark these as imprecise because removing the conversions may
548 # preserve more precision than doing the conversions (e.g.,
549 # uint(float(0x81818181u)) == 0x81818200).
550 (('~f2i32', ('i2f', 'a@32')), a),
551 (('~f2i32', ('u2f', 'a@32')), a),
552 (('~f2u32', ('i2f', 'a@32')), a),
553 (('~f2u32', ('u2f', 'a@32')), a),
554
555 # Packing and then unpacking does nothing
556 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
557 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
558 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
559 ('unpack_64_2x32_split_y', a)), a),
560
561 # Byte extraction
562 (('ushr', ('ishl', 'a@32', 24), 24), ('extract_u8', a, 0), '!options->lower_extract_byte'),
563 (('ushr', ('ishl', 'a@32', 16), 24), ('extract_u8', a, 1), '!options->lower_extract_byte'),
564 (('ushr', ('ishl', 'a@32', 8), 24), ('extract_u8', a, 2), '!options->lower_extract_byte'),
565 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
566 (('ishr', ('ishl', 'a@32', 24), 24), ('extract_i8', a, 0), '!options->lower_extract_byte'),
567 (('ishr', ('ishl', 'a@32', 16), 24), ('extract_i8', a, 1), '!options->lower_extract_byte'),
568 (('ishr', ('ishl', 'a@32', 8), 24), ('extract_i8', a, 2), '!options->lower_extract_byte'),
569 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
570 (('iand', 0xff, ('ushr', a, 16)), ('extract_u8', a, 2), '!options->lower_extract_byte'),
571 (('iand', 0xff, ('ushr', a, 8)), ('extract_u8', a, 1), '!options->lower_extract_byte'),
572 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte'),
573
574 # Word extraction
575 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
576 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
577 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
578 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
579 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
580
581 # Subtracts
582 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
583 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
584 (('ussub_4x8', a, 0), a),
585 (('ussub_4x8', a, ~0), 0),
586 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
587 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
588 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
589 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
590 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
591 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
592 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
593 (('iabs', ('isub', 0, a)), ('iabs', a)),
594
595 # Propagate negation up multiplication chains
596 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
597 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
598
599 # Propagate constants up multiplication chains
600 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
601 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
602 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
603 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
604
605 # Reassociate constants in add/mul chains so they can be folded together.
606 # For now, we mostly only handle cases where the constants are separated by
607 # a single non-constant. We could do better eventually.
608 (('~fmul', '#a', ('fmul', b, '#c')), ('fmul', ('fmul', a, c), b)),
609 (('imul', '#a', ('imul', b, '#c')), ('imul', ('imul', a, c), b)),
610 (('~fadd', '#a', ('fadd', b, '#c')), ('fadd', ('fadd', a, c), b)),
611 (('~fadd', '#a', ('fneg', ('fadd', b, '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
612 (('iadd', '#a', ('iadd', b, '#c')), ('iadd', ('iadd', a, c), b)),
613
614 # By definition...
615 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
616 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
617 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
618
619 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
620 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
621 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
622
623 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
624
625 # Misc. lowering
626 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
627 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
628 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
629 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
630 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
631
632 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
633 ('bcsel', ('ilt', 31, 'bits'), 'insert',
634 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
635 'options->lower_bitfield_insert'),
636
637 # Alternative lowering that doesn't rely on bfi.
638 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
639 ('bcsel', ('ilt', 31, 'bits'),
640 'insert',
641 ('ior',
642 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
643 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
644 'options->lower_bitfield_insert_to_shifts'),
645
646 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
647 (('bfm', 'bits', 'offset'),
648 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
649 'options->lower_bfm'),
650
651 (('ibitfield_extract', 'value', 'offset', 'bits'),
652 ('bcsel', ('ilt', 31, 'bits'), 'value',
653 ('ibfe', 'value', 'offset', 'bits')),
654 'options->lower_bitfield_extract'),
655
656 (('ubitfield_extract', 'value', 'offset', 'bits'),
657 ('bcsel', ('ult', 31, 'bits'), 'value',
658 ('ubfe', 'value', 'offset', 'bits')),
659 'options->lower_bitfield_extract'),
660
661 (('ibitfield_extract', 'value', 'offset', 'bits'),
662 ('bcsel', ('ieq', 0, 'bits'),
663 0,
664 ('ishr',
665 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
666 ('isub', 32, 'bits'))),
667 'options->lower_bitfield_extract_to_shifts'),
668
669 (('ubitfield_extract', 'value', 'offset', 'bits'),
670 ('iand',
671 ('ushr', 'value', 'offset'),
672 ('bcsel', ('ieq', 'bits', 32),
673 0xffffffff,
674 ('bfm', 'bits', 0))),
675 'options->lower_bitfield_extract_to_shifts'),
676
677 (('ifind_msb', 'value'),
678 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
679 'options->lower_ifind_msb'),
680
681 (('find_lsb', 'value'),
682 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
683 'options->lower_find_lsb'),
684
685 (('extract_i8', a, 'b@32'),
686 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
687 'options->lower_extract_byte'),
688
689 (('extract_u8', a, 'b@32'),
690 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
691 'options->lower_extract_byte'),
692
693 (('extract_i16', a, 'b@32'),
694 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
695 'options->lower_extract_word'),
696
697 (('extract_u16', a, 'b@32'),
698 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
699 'options->lower_extract_word'),
700
701 (('pack_unorm_2x16', 'v'),
702 ('pack_uvec2_to_uint',
703 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
704 'options->lower_pack_unorm_2x16'),
705
706 (('pack_unorm_4x8', 'v'),
707 ('pack_uvec4_to_uint',
708 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
709 'options->lower_pack_unorm_4x8'),
710
711 (('pack_snorm_2x16', 'v'),
712 ('pack_uvec2_to_uint',
713 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
714 'options->lower_pack_snorm_2x16'),
715
716 (('pack_snorm_4x8', 'v'),
717 ('pack_uvec4_to_uint',
718 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
719 'options->lower_pack_snorm_4x8'),
720
721 (('unpack_unorm_2x16', 'v'),
722 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
723 ('extract_u16', 'v', 1))),
724 65535.0),
725 'options->lower_unpack_unorm_2x16'),
726
727 (('unpack_unorm_4x8', 'v'),
728 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
729 ('extract_u8', 'v', 1),
730 ('extract_u8', 'v', 2),
731 ('extract_u8', 'v', 3))),
732 255.0),
733 'options->lower_unpack_unorm_4x8'),
734
735 (('unpack_snorm_2x16', 'v'),
736 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
737 ('extract_i16', 'v', 1))),
738 32767.0))),
739 'options->lower_unpack_snorm_2x16'),
740
741 (('unpack_snorm_4x8', 'v'),
742 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
743 ('extract_i8', 'v', 1),
744 ('extract_i8', 'v', 2),
745 ('extract_i8', 'v', 3))),
746 127.0))),
747 'options->lower_unpack_snorm_4x8'),
748 ]
749
750 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
751
752 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
753 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
754 ('iand', (invert[left], a, b), (invert[right], c, d))))
755 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
756 ('ior', (invert[left], a, b), (invert[right], c, d))))
757
758 # Optimize x2bN(b2x(x)) -> x
759 for size in type_sizes('bool'):
760 aN = 'a@' + str(size)
761 f2bN = 'f2b' + str(size)
762 i2bN = 'i2b' + str(size)
763 optimizations.append(((f2bN, ('b2f', aN)), a))
764 optimizations.append(((i2bN, ('b2i', aN)), a))
765
766 # Optimize x2yN(b2x(x)) -> b2y
767 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
768 if x != 'f' and y != 'f' and x != y:
769 continue
770
771 b2x = 'b2f' if x == 'f' else 'b2i'
772 b2y = 'b2f' if y == 'f' else 'b2i'
773 x2yN = '{}2{}'.format(x, y)
774 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
775
776 def fexp2i(exp, bits):
777 # We assume that exp is already in the right range.
778 if bits == 32:
779 return ('ishl', ('iadd', exp, 127), 23)
780 elif bits == 64:
781 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
782 else:
783 assert False
784
785 def ldexp(f, exp, bits):
786 # First, we clamp exp to a reasonable range. The maximum possible range
787 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
788 # a maximum range of [-149, 127]. This means that we can potentially have
789 # a swing of +-276. If you start with FLT_MAX, you actually have to do
790 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
791 # spec, on the other hand, only requires that we handle an exponent value
792 # in the range [-126, 128]. This implementation is *mostly* correct; it
793 # handles a range on exp of [-252, 254] which allows you to create any
794 # value (including denorms if the hardware supports it) and to adjust the
795 # exponent of any normal value to anything you want.
796 if bits == 32:
797 exp = ('imin', ('imax', exp, -252), 254)
798 elif bits == 64:
799 exp = ('imin', ('imax', exp, -2044), 2046)
800 else:
801 assert False
802
803 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
804 # (We use ishr which isn't the same for -1, but the -1 case still works
805 # since we use exp-exp/2 as the second exponent.) While the spec
806 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
807 # work with denormals and doesn't allow for the full swing in exponents
808 # that you can get with normalized values. Instead, we create two powers
809 # of two and multiply by them each in turn. That way the effective range
810 # of our exponent is doubled.
811 pow2_1 = fexp2i(('ishr', exp, 1), bits)
812 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
813 return ('fmul', ('fmul', f, pow2_1), pow2_2)
814
815 optimizations += [
816 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
817 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
818 ]
819
820 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
821 def bitfield_reverse(u):
822 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
823 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
824 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
825 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
826 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
827
828 return step5
829
830 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
831
832 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
833 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
834 # and, if a is a NaN then the second comparison will fail anyway.
835 for op in ['flt', 'fge', 'feq']:
836 optimizations += [
837 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
838 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
839 ]
840
841 # Add optimizations to handle the case where the result of a ternary is
842 # compared to a constant. This way we can take things like
843 #
844 # (a ? 0 : 1) > 0
845 #
846 # and turn it into
847 #
848 # a ? (0 > 0) : (1 > 0)
849 #
850 # which constant folding will eat for lunch. The resulting ternary will
851 # further get cleaned up by the boolean reductions above and we will be
852 # left with just the original variable "a".
853 for op in ['flt', 'fge', 'feq', 'fne',
854 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
855 optimizations += [
856 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
857 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
858 ((op, '#d', ('bcsel', a, '#b', '#c')),
859 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
860 ]
861
862
863 # For example, this converts things like
864 #
865 # 1 + mix(0, a - 1, condition)
866 #
867 # into
868 #
869 # mix(1, (a-1)+1, condition)
870 #
871 # Other optimizations will rearrange the constants.
872 for op in ['fadd', 'fmul', 'iadd', 'imul']:
873 optimizations += [
874 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
875 ]
876
877 # This section contains "late" optimizations that should be run before
878 # creating ffmas and calling regular optimizations for the final time.
879 # Optimizations should go here if they help code generation and conflict
880 # with the regular optimizations.
881 before_ffma_optimizations = [
882 # Propagate constants down multiplication chains
883 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
884 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
885 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
886 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
887
888 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
889 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
890 (('~fadd', ('fneg', a), a), 0.0),
891 (('iadd', ('ineg', a), a), 0),
892 (('iadd', ('ineg', a), ('iadd', a, b)), b),
893 (('iadd', a, ('iadd', ('ineg', a), b)), b),
894 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
895 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
896 ]
897
898 # This section contains "late" optimizations that should be run after the
899 # regular optimizations have finished. Optimizations should go here if
900 # they help code generation but do not necessarily produce code that is
901 # more easily optimizable.
902 late_optimizations = [
903 # Most of these optimizations aren't quite safe when you get infinity or
904 # Nan involved but the first one should be fine.
905 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
906 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
907 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
908 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
909 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
910 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
911
912 (('~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)))),
913
914 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
915 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
916 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
917 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
918
919 (('b2f(is_used_more_than_once)', ('inot', 'a@1')), ('bcsel', a, 0.0, 1.0)),
920 (('fneg(is_used_more_than_once)', ('b2f', ('inot', 'a@1'))), ('bcsel', a, -0.0, -1.0)),
921
922 # we do these late so that we don't get in the way of creating ffmas
923 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
924 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
925 ]
926
927 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
928 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
929 before_ffma_optimizations).render())
930 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
931 late_optimizations).render())