nir/algebraic: Simplify fsat of fsign
[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 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 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
109 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
110 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
111 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
112 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
113 (('~ffma', 0.0, a, b), b),
114 (('~ffma', a, 0.0, b), b),
115 (('~ffma', a, b, 0.0), ('fmul', a, b)),
116 (('ffma', a, 1.0, b), ('fadd', a, b)),
117 (('ffma', 1.0, a, b), ('fadd', a, b)),
118 (('~flrp', a, b, 0.0), a),
119 (('~flrp', a, b, 1.0), b),
120 (('~flrp', a, a, b), a),
121 (('~flrp', 0.0, a, b), ('fmul', a, b)),
122 (('~flrp', a, b, ('b2f', c)), ('bcsel', c, b, a), 'options->lower_flrp32'),
123 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
124 (('flrp@32', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp32'),
125 (('flrp@64', a, b, c), ('fadd', ('fmul', c, ('fsub', b, a)), a), 'options->lower_flrp64'),
126 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
127 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', c)))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
128 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
129 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ))), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
130 (('~fadd', a, ('fmul', ('b2f', c), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
131 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
132 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
133 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
134 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
135
136 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
137 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
138 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
139 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
140
141 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
142 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
143
144 # (a * #b + #c) << #d
145 # ((a * #b) << #d) + (#c << #d)
146 # (a * (#b << #d)) + (#c << #d)
147 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
148 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
149
150 # (a * #b) << #c
151 # a * (#b << #c)
152 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
153
154 # Comparison simplifications
155 (('~inot', ('flt', a, b)), ('fge', a, b)),
156 (('~inot', ('fge', a, b)), ('flt', a, b)),
157 (('~inot', ('feq', a, b)), ('fne', a, b)),
158 (('~inot', ('fne', a, b)), ('feq', a, b)),
159 (('inot', ('ilt', a, b)), ('ige', a, b)),
160 (('inot', ('ult', a, b)), ('uge', a, b)),
161 (('inot', ('ige', a, b)), ('ilt', a, b)),
162 (('inot', ('uge', a, b)), ('ult', a, b)),
163 (('inot', ('ieq', a, b)), ('ine', a, b)),
164 (('inot', ('ine', a, b)), ('ieq', a, b)),
165
166 # 0.0 >= b2f(a)
167 # b2f(a) <= 0.0
168 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
169 # inot(a)
170 (('fge', 0.0, ('b2f', a)), ('inot', a)),
171
172 (('fge', ('fneg', ('b2f', a)), 0.0), ('inot', a)),
173
174 (('fne', ('fadd', ('b2f', a), ('b2f', b)), 0.0), ('ior', a, b)),
175 (('fne', ('fmax', ('b2f', a), ('b2f', b)), 0.0), ('ior', a, b)),
176 (('fne', ('bcsel', a, 1.0, ('b2f', b)) , 0.0), ('ior', a, b)),
177 (('fne', ('b2f', a), ('fneg', ('b2f', b))), ('ior', a, b)),
178 (('fne', ('fmul', ('b2f', a), ('b2f', b)), 0.0), ('iand', a, b)),
179 (('fne', ('fmin', ('b2f', a), ('b2f', b)), 0.0), ('iand', a, b)),
180 (('fne', ('bcsel', a, ('b2f', b), 0.0) , 0.0), ('iand', a, b)),
181 (('fne', ('fadd', ('b2f', a), ('fneg', ('b2f', b))), 0.0), ('ixor', a, b)),
182 (('fne', ('b2f', a) , ('b2f', b) ), ('ixor', a, b)),
183 (('fne', ('fneg', ('b2f', a)), ('fneg', ('b2f', b))), ('ixor', a, b)),
184 (('feq', ('fadd', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
185 (('feq', ('fmax', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('ior', a, b))),
186 (('feq', ('bcsel', a, 1.0, ('b2f', b)) , 0.0), ('inot', ('ior', a, b))),
187 (('feq', ('b2f', a), ('fneg', ('b2f', b))), ('inot', ('ior', a, b))),
188 (('feq', ('fmul', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
189 (('feq', ('fmin', ('b2f', a), ('b2f', b)), 0.0), ('inot', ('iand', a, b))),
190 (('feq', ('bcsel', a, ('b2f', b), 0.0) , 0.0), ('inot', ('iand', a, b))),
191 (('feq', ('fadd', ('b2f', a), ('fneg', ('b2f', b))), 0.0), ('ieq', a, b)),
192 (('feq', ('b2f', a) , ('b2f', b) ), ('ieq', a, b)),
193 (('feq', ('fneg', ('b2f', a)), ('fneg', ('b2f', b))), ('ieq', a, b)),
194
195 # -(b2f(a) + b2f(b)) < 0
196 # 0 < b2f(a) + b2f(b)
197 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
198 # a || b
199 (('flt', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('ior', a, b)),
200 (('flt', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('ior', a, b)),
201
202 # -(b2f(a) + b2f(b)) >= 0
203 # 0 >= b2f(a) + b2f(b)
204 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
205 # !(a || b)
206 (('fge', ('fneg', ('fadd', ('b2f', a), ('b2f', b))), 0.0), ('inot', ('ior', a, b))),
207 (('fge', 0.0, ('fadd', ('b2f', a), ('b2f', b))), ('inot', ('ior', a, b))),
208
209 # Some optimizations (below) convert things like (a < b || c < b) into
210 # (min(a, c) < b). However, this interfers with the previous optimizations
211 # that try to remove comparisons with negated sums of b2f. This just
212 # breaks that apart.
213 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', a), ('b2f', b)))), 0.0),
214 ('ior', ('flt', c, 0.0), ('ior', a, b))),
215
216 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
217 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
218 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
219 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
220
221 # Cannot remove the addition from ilt or ige due to overflow.
222 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
223 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
224
225 # fmin(-b2f(a), b) >= 0.0
226 # -b2f(a) >= 0.0 && b >= 0.0
227 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
228 # b2f(a) == 0.0 && b >= 0.0
229 # a == False && b >= 0.0
230 # !a && b >= 0.0
231 #
232 # The fge in the second replacement is not a typo. I leave the proof that
233 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
234 # reader.
235 (('fge', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
236 (('feq', ('fmin', ('fneg', ('b2f', a)), b), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
237
238 (('feq', ('b2f', a), 0.0), ('inot', a)),
239 (('fne', ('b2f', a), 0.0), a),
240 (('ieq', ('b2i', a), 0), ('inot', a)),
241 (('ine', ('b2i', a), 0), a),
242
243 (('fne', ('u2f32', a), 0.0), ('ine', a, 0)),
244 (('feq', ('u2f32', a), 0.0), ('ieq', a, 0)),
245 (('fge', ('u2f32', a), 0.0), True),
246 (('fge', 0.0, ('u2f32', a)), ('uge', 0, a)), # ieq instead?
247 (('flt', ('u2f32', a), 0.0), False),
248 (('flt', 0.0, ('u2f32', a)), ('ult', 0, a)), # ine instead?
249 (('fne', ('i2f32', a), 0.0), ('ine', a, 0)),
250 (('feq', ('i2f32', a), 0.0), ('ieq', a, 0)),
251 (('fge', ('i2f32', a), 0.0), ('ige', a, 0)),
252 (('fge', 0.0, ('i2f32', a)), ('ige', 0, a)),
253 (('flt', ('i2f32', a), 0.0), ('ilt', a, 0)),
254 (('flt', 0.0, ('i2f32', a)), ('ilt', 0, a)),
255
256 # 0.0 < fabs(a)
257 # fabs(a) > 0.0
258 # fabs(a) != 0.0 because fabs(a) must be >= 0
259 # a != 0.0
260 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
261
262 # -fabs(a) < 0.0
263 # fabs(a) > 0.0
264 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
265
266 # 0.0 >= fabs(a)
267 # 0.0 == fabs(a) because fabs(a) must be >= 0
268 # 0.0 == a
269 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
270
271 # -fabs(a) >= 0.0
272 # 0.0 >= fabs(a)
273 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
274
275 (('fmax', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('ior', a, b))),
276 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('ior', a, b)))),
277 (('fmin', ('b2f(is_used_once)', a), ('b2f', b)), ('b2f', ('iand', a, b))),
278 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', a)), ('fneg', ('b2f', b))), ('fneg', ('b2f', ('iand', a, b)))),
279
280 # fmin(b2f(a), b)
281 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
282 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
283 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
284 #
285 # Since b is a constant, constant folding will eliminate the fmin and the
286 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
287 (('fmin', ('b2f', a), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
288
289 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
290
291 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
292 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
293 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
294 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
295 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
296 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
297 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
298 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
299 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
300 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
301 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
302 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
303 (('bcsel', a, True, 'b@bool'), ('ior', a, b)),
304 (('fmin', a, a), a),
305 (('fmax', a, a), a),
306 (('imin', a, a), a),
307 (('imax', a, a), a),
308 (('umin', a, a), a),
309 (('umax', a, a), a),
310 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
311 (('umax', ('umax', a, b), b), ('umax', a, b)),
312 (('imax', ('imax', a, b), b), ('imax', a, b)),
313 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
314 (('umin', ('umin', a, b), b), ('umin', a, b)),
315 (('imin', ('imin', a, b), b), ('imin', a, b)),
316 (('fmax', a, ('fneg', a)), ('fabs', a)),
317 (('imax', a, ('ineg', a)), ('iabs', a)),
318 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
319 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
320 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
321 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
322 (('fmin', a, ('fabs', a)), a),
323 (('imin', a, ('iabs', a)), a),
324 (('fmax', a, ('fneg', ('fabs', a))), a),
325 (('imax', a, ('ineg', ('iabs', a))), a),
326 (('fmax', a, ('fabs', a)), ('fabs', a)),
327 (('imax', a, ('iabs', a)), ('iabs', a)),
328 (('fmax', a, ('fneg', a)), ('fabs', a)),
329 (('imax', a, ('ineg', a)), ('iabs', a)),
330 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
331 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
332 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
333 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
334 (('fsat', ('fsat', a)), ('fsat', a)),
335 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
336 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
337 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
338 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
339 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
340 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
341 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
342 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
343 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
344 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
345 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
346 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
347 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
348 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
349 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
350 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
351 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
352 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
353 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
354 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
355 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
356 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
357
358 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
359 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
360 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
361 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
362 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
363 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
364 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
365 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
366 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
367 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
368 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
369 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
370 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
371 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
372 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
373 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
374
375 (('ior', 'a@bool', ('ieq', a, False)), True),
376 (('ior', 'a@bool', ('inot', a)), True),
377
378 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
379
380 # These patterns can result when (a < b || a < c) => (a < min(b, c))
381 # transformations occur before constant propagation and loop-unrolling.
382 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
383 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
384 (('~fge', a, ('fmin', b, a)), True),
385 (('~fge', ('fmax', a, b), a), True),
386 (('~flt', a, ('fmin', b, a)), False),
387 (('~flt', ('fmax', a, b), a), False),
388 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
389 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
390
391 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
392 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
393 (('ige', a, ('imin', b, a)), True),
394 (('ige', ('imax', a, b), a), True),
395 (('ult', a, ('umax', b, a)), ('ult', a, b)),
396 (('ult', ('umin', a, b), a), ('ult', b, a)),
397 (('uge', a, ('umin', b, a)), True),
398 (('uge', ('umax', a, b), a), True),
399 (('ilt', a, ('imin', b, a)), False),
400 (('ilt', ('imax', a, b), a), False),
401 (('ige', a, ('imax', b, a)), ('ige', a, b)),
402 (('ige', ('imin', a, b), a), ('ige', b, a)),
403 (('ult', a, ('umin', b, a)), False),
404 (('ult', ('umax', a, b), a), False),
405 (('uge', a, ('umax', b, a)), ('uge', a, b)),
406 (('uge', ('umin', a, b), a), ('uge', b, a)),
407
408 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
409 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
410 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
411 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
412 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
413 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
414 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
415 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
416 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
417 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
418 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
419 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
420 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
421 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
422 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
423 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
424
425 (('fabs', ('slt', a, b)), ('slt', a, b)),
426 (('fabs', ('sge', a, b)), ('sge', a, b)),
427 (('fabs', ('seq', a, b)), ('seq', a, b)),
428 (('fabs', ('sne', a, b)), ('sne', a, b)),
429 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
430 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
431 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
432 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
433 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
434 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
435 # Emulating booleans
436 (('imul', ('b2i', a), ('b2i', b)), ('b2i', ('iand', a, b))),
437 (('fmul', ('b2f', a), ('b2f', b)), ('b2f', ('iand', a, b))),
438 (('fsat', ('fadd', ('b2f', a), ('b2f', b))), ('b2f', ('ior', a, b))),
439 (('iand', 'a@bool', 1.0), ('b2f', a), '!options->lower_b2f'),
440 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
441 (('ineg', ('b2i@32', a)), a),
442 (('flt', ('fneg', ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
443 (('flt', ('fsub', 0.0, ('b2f', a)), 0), a), # Generated by TGSI KILL_IF.
444 # Comparison with the same args. Note that these are not done for
445 # the float versions because NaN always returns false on float
446 # inequalities.
447 (('ilt', a, a), False),
448 (('ige', a, a), True),
449 (('ieq', a, a), True),
450 (('ine', a, a), False),
451 (('ult', a, a), False),
452 (('uge', a, a), True),
453 # Logical and bit operations
454 (('fand', a, 0.0), 0.0),
455 (('iand', a, a), a),
456 (('iand', a, ~0), a),
457 (('iand', a, 0), 0),
458 (('ior', a, a), a),
459 (('ior', a, 0), a),
460 (('ior', a, True), True),
461 (('fxor', a, a), 0.0),
462 (('ixor', a, a), 0),
463 (('ixor', a, 0), a),
464 (('inot', ('inot', a)), a),
465 (('ior', ('iand', a, b), b), b),
466 (('ior', ('ior', a, b), b), ('ior', a, b)),
467 (('iand', ('ior', a, b), b), b),
468 (('iand', ('iand', a, b), b), ('iand', a, b)),
469 # DeMorgan's Laws
470 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
471 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
472 # Shift optimizations
473 (('ishl', 0, a), 0),
474 (('ishl', a, 0), a),
475 (('ishr', 0, a), 0),
476 (('ishr', a, 0), a),
477 (('ushr', 0, a), 0),
478 (('ushr', a, 0), a),
479 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
480 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
481 # Exponential/logarithmic identities
482 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
483 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
484 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
485 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
486 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
487 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
488 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
489 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
490 (('~fpow', a, 1.0), a),
491 (('~fpow', a, 2.0), ('fmul', a, a)),
492 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
493 (('~fpow', 2.0, a), ('fexp2', a)),
494 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
495 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
496 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
497 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
498 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
499 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
500 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
501 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
502 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
503 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
504 # Division and reciprocal
505 (('~fdiv', 1.0, a), ('frcp', a)),
506 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
507 (('~frcp', ('frcp', a)), a),
508 (('~frcp', ('fsqrt', a)), ('frsq', a)),
509 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
510 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
511 # Boolean simplifications
512 (('ieq', 'a@bool', True), a),
513 (('ine(is_not_used_by_if)', 'a@bool', True), ('inot', a)),
514 (('ine', 'a@bool', False), a),
515 (('ieq(is_not_used_by_if)', 'a@bool', False), ('inot', 'a')),
516 (('bcsel', a, True, False), a),
517 (('bcsel', a, False, True), ('inot', a)),
518 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
519 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
520 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
521 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
522 (('bcsel', True, b, c), b),
523 (('bcsel', False, b, c), c),
524 (('bcsel', a, ('b2f(is_used_once)', b), ('b2f', c)), ('b2f', ('bcsel', a, b, c))),
525 # The result of this should be hit by constant propagation and, in the
526 # next round of opt_algebraic, get picked up by one of the above two.
527 (('bcsel', '#a', b, c), ('bcsel', ('ine', 'a', 0), b, c)),
528
529 (('bcsel', a, b, b), b),
530 (('fcsel', a, b, b), b),
531
532 # Conversions
533 (('i2b', ('b2i', a)), a),
534 (('i2b', 'a@bool'), a),
535 (('f2i32', ('ftrunc', a)), ('f2i32', a)),
536 (('f2u32', ('ftrunc', a)), ('f2u32', a)),
537 (('i2b', ('ineg', a)), ('i2b', a)),
538 (('i2b', ('iabs', a)), ('i2b', a)),
539 (('fabs', ('b2f', a)), ('b2f', a)),
540 (('iabs', ('b2i', a)), ('b2i', a)),
541 (('inot', ('f2b', a)), ('feq', a, 0.0)),
542
543 # Ironically, mark these as imprecise because removing the conversions may
544 # preserve more precision than doing the conversions (e.g.,
545 # uint(float(0x81818181u)) == 0x81818200).
546 (('~f2i32', ('i2f32', 'a@32')), a),
547 (('~f2i32', ('u2f32', 'a@32')), a),
548 (('~f2u32', ('i2f32', 'a@32')), a),
549 (('~f2u32', ('u2f32', 'a@32')), a),
550
551 # Packing and then unpacking does nothing
552 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
553 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
554 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
555 ('unpack_64_2x32_split_y', a)), a),
556
557 # Byte extraction
558 (('ushr', ('ishl', 'a@32', 24), 24), ('extract_u8', a, 0), '!options->lower_extract_byte'),
559 (('ushr', ('ishl', 'a@32', 16), 24), ('extract_u8', a, 1), '!options->lower_extract_byte'),
560 (('ushr', ('ishl', 'a@32', 8), 24), ('extract_u8', a, 2), '!options->lower_extract_byte'),
561 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
562 (('ishr', ('ishl', 'a@32', 24), 24), ('extract_i8', a, 0), '!options->lower_extract_byte'),
563 (('ishr', ('ishl', 'a@32', 16), 24), ('extract_i8', a, 1), '!options->lower_extract_byte'),
564 (('ishr', ('ishl', 'a@32', 8), 24), ('extract_i8', a, 2), '!options->lower_extract_byte'),
565 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
566 (('iand', 0xff, ('ushr', a, 16)), ('extract_u8', a, 2), '!options->lower_extract_byte'),
567 (('iand', 0xff, ('ushr', a, 8)), ('extract_u8', a, 1), '!options->lower_extract_byte'),
568 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte'),
569
570 # Word extraction
571 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
572 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
573 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
574 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
575 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
576
577 # Subtracts
578 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
579 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
580 (('ussub_4x8', a, 0), a),
581 (('ussub_4x8', a, ~0), 0),
582 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
583 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
584 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
585 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
586 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
587 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
588 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
589 (('iabs', ('isub', 0, a)), ('iabs', a)),
590
591 # Propagate negation up multiplication chains
592 (('fmul', ('fneg', a), b), ('fneg', ('fmul', a, b))),
593 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
594
595 # Propagate constants up multiplication chains
596 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
597 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
598 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
599 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
600
601 # Reassociate constants in add/mul chains so they can be folded together.
602 # For now, we mostly only handle cases where the constants are separated by
603 # a single non-constant. We could do better eventually.
604 (('~fmul', '#a', ('fmul', b, '#c')), ('fmul', ('fmul', a, c), b)),
605 (('imul', '#a', ('imul', b, '#c')), ('imul', ('imul', a, c), b)),
606 (('~fadd', '#a', ('fadd', b, '#c')), ('fadd', ('fadd', a, c), b)),
607 (('~fadd', '#a', ('fneg', ('fadd', b, '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
608 (('iadd', '#a', ('iadd', b, '#c')), ('iadd', ('iadd', a, c), b)),
609
610 # By definition...
611 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
612 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
613 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
614
615 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
616 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
617 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
618
619 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
620
621 # Misc. lowering
622 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod32'),
623 (('fmod@64', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod64'),
624 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod32'),
625 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
626 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
627
628 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
629 ('bcsel', ('ilt', 31, 'bits'), 'insert',
630 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
631 'options->lower_bitfield_insert'),
632
633 # Alternative lowering that doesn't rely on bfi.
634 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
635 ('bcsel', ('ilt', 31, 'bits'),
636 'insert',
637 ('ior',
638 ('iand', 'base', ('inot', ('bfm', 'bits', 'offset'))),
639 ('iand', ('ishl', 'insert', 'offset'), ('bfm', 'bits', 'offset')))),
640 'options->lower_bitfield_insert_to_shifts'),
641
642 # bfm lowering -- note that the NIR opcode is undefined if either arg is 32.
643 (('bfm', 'bits', 'offset'),
644 ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'),
645 'options->lower_bfm'),
646
647 (('ibitfield_extract', 'value', 'offset', 'bits'),
648 ('bcsel', ('ilt', 31, 'bits'), 'value',
649 ('ibfe', 'value', 'offset', 'bits')),
650 'options->lower_bitfield_extract'),
651
652 (('ubitfield_extract', 'value', 'offset', 'bits'),
653 ('bcsel', ('ult', 31, 'bits'), 'value',
654 ('ubfe', 'value', 'offset', 'bits')),
655 'options->lower_bitfield_extract'),
656
657 (('ibitfield_extract', 'value', 'offset', 'bits'),
658 ('bcsel', ('ieq', 0, 'bits'),
659 0,
660 ('ishr',
661 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
662 ('isub', 32, 'bits'))),
663 'options->lower_bitfield_extract_to_shifts'),
664
665 (('ubitfield_extract', 'value', 'offset', 'bits'),
666 ('iand',
667 ('ushr', 'value', 'offset'),
668 ('bcsel', ('ieq', 'bits', 32),
669 0xffffffff,
670 ('bfm', 'bits', 0))),
671 'options->lower_bitfield_extract_to_shifts'),
672
673 (('ifind_msb', 'value'),
674 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
675 'options->lower_ifind_msb'),
676
677 (('find_lsb', 'value'),
678 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
679 'options->lower_find_lsb'),
680
681 (('extract_i8', a, 'b@32'),
682 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
683 'options->lower_extract_byte'),
684
685 (('extract_u8', a, 'b@32'),
686 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
687 'options->lower_extract_byte'),
688
689 (('extract_i16', a, 'b@32'),
690 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
691 'options->lower_extract_word'),
692
693 (('extract_u16', a, 'b@32'),
694 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
695 'options->lower_extract_word'),
696
697 (('pack_unorm_2x16', 'v'),
698 ('pack_uvec2_to_uint',
699 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
700 'options->lower_pack_unorm_2x16'),
701
702 (('pack_unorm_4x8', 'v'),
703 ('pack_uvec4_to_uint',
704 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
705 'options->lower_pack_unorm_4x8'),
706
707 (('pack_snorm_2x16', 'v'),
708 ('pack_uvec2_to_uint',
709 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
710 'options->lower_pack_snorm_2x16'),
711
712 (('pack_snorm_4x8', 'v'),
713 ('pack_uvec4_to_uint',
714 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
715 'options->lower_pack_snorm_4x8'),
716
717 (('unpack_unorm_2x16', 'v'),
718 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
719 ('extract_u16', 'v', 1))),
720 65535.0),
721 'options->lower_unpack_unorm_2x16'),
722
723 (('unpack_unorm_4x8', 'v'),
724 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
725 ('extract_u8', 'v', 1),
726 ('extract_u8', 'v', 2),
727 ('extract_u8', 'v', 3))),
728 255.0),
729 'options->lower_unpack_unorm_4x8'),
730
731 (('unpack_snorm_2x16', 'v'),
732 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec2', ('extract_i16', 'v', 0),
733 ('extract_i16', 'v', 1))),
734 32767.0))),
735 'options->lower_unpack_snorm_2x16'),
736
737 (('unpack_snorm_4x8', 'v'),
738 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f32', ('vec4', ('extract_i8', 'v', 0),
739 ('extract_i8', 'v', 1),
740 ('extract_i8', 'v', 2),
741 ('extract_i8', 'v', 3))),
742 127.0))),
743 'options->lower_unpack_snorm_4x8'),
744 ]
745
746 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
747
748 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
749 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
750 ('iand', (invert[left], a, b), (invert[right], c, d))))
751 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
752 ('ior', (invert[left], a, b), (invert[right], c, d))))
753
754 def fexp2i(exp, bits):
755 # We assume that exp is already in the right range.
756 if bits == 32:
757 return ('ishl', ('iadd', exp, 127), 23)
758 elif bits == 64:
759 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
760 else:
761 assert False
762
763 def ldexp(f, exp, bits):
764 # First, we clamp exp to a reasonable range. The maximum possible range
765 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
766 # a maximum range of [-149, 127]. This means that we can potentially have
767 # a swing of +-276. If you start with FLT_MAX, you actually have to do
768 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
769 # spec, on the other hand, only requires that we handle an exponent value
770 # in the range [-126, 128]. This implementation is *mostly* correct; it
771 # handles a range on exp of [-252, 254] which allows you to create any
772 # value (including denorms if the hardware supports it) and to adjust the
773 # exponent of any normal value to anything you want.
774 if bits == 32:
775 exp = ('imin', ('imax', exp, -252), 254)
776 elif bits == 64:
777 exp = ('imin', ('imax', exp, -2044), 2046)
778 else:
779 assert False
780
781 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
782 # (We use ishr which isn't the same for -1, but the -1 case still works
783 # since we use exp-exp/2 as the second exponent.) While the spec
784 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
785 # work with denormals and doesn't allow for the full swing in exponents
786 # that you can get with normalized values. Instead, we create two powers
787 # of two and multiply by them each in turn. That way the effective range
788 # of our exponent is doubled.
789 pow2_1 = fexp2i(('ishr', exp, 1), bits)
790 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
791 return ('fmul', ('fmul', f, pow2_1), pow2_2)
792
793 optimizations += [
794 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
795 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
796 ]
797
798 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
799 def bitfield_reverse(u):
800 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
801 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
802 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
803 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
804 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
805
806 return step5
807
808 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
809
810 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
811 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
812 # and, if a is a NaN then the second comparison will fail anyway.
813 for op in ['flt', 'fge', 'feq']:
814 optimizations += [
815 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
816 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
817 ]
818
819 # Add optimizations to handle the case where the result of a ternary is
820 # compared to a constant. This way we can take things like
821 #
822 # (a ? 0 : 1) > 0
823 #
824 # and turn it into
825 #
826 # a ? (0 > 0) : (1 > 0)
827 #
828 # which constant folding will eat for lunch. The resulting ternary will
829 # further get cleaned up by the boolean reductions above and we will be
830 # left with just the original variable "a".
831 for op in ['flt', 'fge', 'feq', 'fne',
832 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
833 optimizations += [
834 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
835 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
836 ((op, '#d', ('bcsel', a, '#b', '#c')),
837 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
838 ]
839
840
841 # For example, this converts things like
842 #
843 # 1 + mix(0, a - 1, condition)
844 #
845 # into
846 #
847 # mix(1, (a-1)+1, condition)
848 #
849 # Other optimizations will rearrange the constants.
850 for op in ['fadd', 'fmul', 'iadd', 'imul']:
851 optimizations += [
852 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
853 ]
854
855 # This section contains "late" optimizations that should be run before
856 # creating ffmas and calling regular optimizations for the final time.
857 # Optimizations should go here if they help code generation and conflict
858 # with the regular optimizations.
859 before_ffma_optimizations = [
860 # Propagate constants down multiplication chains
861 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
862 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
863 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
864 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
865
866 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
867 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
868 (('~fadd', ('fneg', a), a), 0.0),
869 (('iadd', ('ineg', a), a), 0),
870 (('iadd', ('ineg', a), ('iadd', a, b)), b),
871 (('iadd', a, ('iadd', ('ineg', a), b)), b),
872 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
873 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
874 ]
875
876 # This section contains "late" optimizations that should be run after the
877 # regular optimizations have finished. Optimizations should go here if
878 # they help code generation but do not necessarily produce code that is
879 # more easily optimizable.
880 late_optimizations = [
881 # Most of these optimizations aren't quite safe when you get infinity or
882 # Nan involved but the first one should be fine.
883 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
884 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
885 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
886 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
887 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
888 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
889
890 (('~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)))),
891
892 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
893 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
894 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
895 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
896
897 (('b2f(is_used_more_than_once)', ('inot', a)), ('bcsel', a, 0.0, 1.0)),
898 (('fneg(is_used_more_than_once)', ('b2f', ('inot', a))), ('bcsel', a, -0.0, -1.0)),
899
900 # we do these late so that we don't get in the way of creating ffmas
901 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
902 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
903
904 # Lowered for backends without a dedicated b2f instruction
905 (('b2f@32', a), ('iand', a, 1.0), 'options->lower_b2f'),
906 ]
907
908 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
909 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
910 before_ffma_optimizations).render())
911 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
912 late_optimizations).render())