nir: remove fnot/fxor/fand/for opcodes
[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 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 e = 'e'
39
40 # Written in the form (<search>, <replace>) where <search> is an expression
41 # and <replace> is either an expression or a value. An expression is
42 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
43 # where each source is either an expression or a value. A value can be
44 # either a numeric constant or a string representing a variable name.
45 #
46 # If the opcode in a search expression is prefixed by a '~' character, this
47 # indicates that the operation is inexact. Such operations will only get
48 # applied to SSA values that do not have the exact bit set. This should be
49 # used by by any optimizations that are not bit-for-bit exact. It should not,
50 # however, be used for backend-requested lowering operations as those need to
51 # happen regardless of precision.
52 #
53 # Variable names are specified as "[#]name[@type][(cond)]" where "#" inicates
54 # that the given variable will only match constants and the type indicates that
55 # the given variable will only match values from ALU instructions with the
56 # given output type, and (cond) specifies an additional condition function
57 # (see nir_search_helpers.h).
58 #
59 # For constants, you have to be careful to make sure that it is the right
60 # type because python is unaware of the source and destination types of the
61 # opcodes.
62 #
63 # All expression types can have a bit-size specified. For opcodes, this
64 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
65 # type and size. In the search half of the expression this indicates that it
66 # should only match that particular bit-size. In the replace half of the
67 # expression this indicates that the constructed value should have that
68 # bit-size.
69
70 optimizations = [
71
72 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b)), '!options->lower_bitshift'),
73 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b)))), '!options->lower_bitshift'),
74 (('ishl', a, '#b@32'), ('imul', a, ('ishl', 1, b)), 'options->lower_bitshift'),
75
76 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
77 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
78 (('imul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('imul_high', a, b)), 'options->lower_mul_2x32_64'),
79 (('umul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('umul_high', a, b)), 'options->lower_mul_2x32_64'),
80 (('udiv', a, 1), a),
81 (('idiv', a, 1), a),
82 (('umod', a, 1), 0),
83 (('imod', a, 1), 0),
84 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b)), '!options->lower_bitshift'),
85 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
86 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
87 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
88
89 (('fneg', ('fneg', a)), a),
90 (('ineg', ('ineg', a)), a),
91 (('fabs', ('fabs', a)), ('fabs', a)),
92 (('fabs', ('fneg', a)), ('fabs', a)),
93 (('fabs', ('u2f', a)), ('u2f', a)),
94 (('iabs', ('iabs', a)), ('iabs', a)),
95 (('iabs', ('ineg', a)), ('iabs', a)),
96 (('f2b', ('fneg', a)), ('f2b', a)),
97 (('i2b', ('ineg', a)), ('i2b', a)),
98 (('~fadd', a, 0.0), a),
99 (('iadd', a, 0), a),
100 (('usadd_4x8', a, 0), a),
101 (('usadd_4x8', a, ~0), ~0),
102 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
103 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
104 (('~fadd', ('fneg', a), a), 0.0),
105 (('iadd', ('ineg', a), a), 0),
106 (('iadd', ('ineg', a), ('iadd', a, b)), b),
107 (('iadd', a, ('iadd', ('ineg', a), b)), b),
108 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
109 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
110 (('fadd', ('fsat', a), ('fsat', ('fneg', a))), ('fsat', ('fabs', a))),
111 (('~fmul', a, 0.0), 0.0),
112 (('imul', a, 0), 0),
113 (('umul_unorm_4x8', a, 0), 0),
114 (('umul_unorm_4x8', a, ~0), a),
115 (('fmul', a, 1.0), a),
116 (('imul', a, 1), a),
117 (('fmul', a, -1.0), ('fneg', a)),
118 (('imul', a, -1), ('ineg', a)),
119 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
120 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
121 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
122 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
123 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
124 (('~ffma', 0.0, a, b), b),
125 (('~ffma', a, b, 0.0), ('fmul', a, b)),
126 (('ffma', 1.0, a, b), ('fadd', a, b)),
127 (('ffma', -1.0, a, b), ('fadd', ('fneg', a), b)),
128 (('~flrp', a, b, 0.0), a),
129 (('~flrp', a, b, 1.0), b),
130 (('~flrp', a, a, b), a),
131 (('~flrp', 0.0, a, b), ('fmul', a, b)),
132
133 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
134 (('~flrp', a, ('fadd(is_used_once)', a, b), c), ('fadd', ('fmul', b, c), a)),
135 (('~flrp@32', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp32'),
136 (('~flrp@64', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp64'),
137
138 (('~flrp@32', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp32'),
139 (('~flrp@64', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp64'),
140
141 (('~flrp@32', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp32'),
142 (('~flrp@64', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp64'),
143
144 (('~flrp', ('fmul(is_used_once)', a, b), ('fmul(is_used_once)', a, c), d), ('fmul', ('flrp', b, c, d), a)),
145
146 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
147 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
148 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
149 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
150 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
151 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
152 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
153 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
154 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
155 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
156 # These are the same as the previous three rules, but it depends on
157 # 1-fsat(x) <=> fsat(1-x). See below.
158 (('~fadd@32', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp32'),
159 (('~fadd@64', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp64'),
160
161 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
162 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
163 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
164 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
165 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
166
167 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
168 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
169
170 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d)),
171 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
172 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
173 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
174
175 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
176 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
177
178 # If x >= 0 and x <= 1: fsat(1 - x) == 1 - fsat(x) trivially
179 # If x < 0: 1 - fsat(x) => 1 - 0 => 1 and fsat(1 - x) => fsat(> 1) => 1
180 # If x > 1: 1 - fsat(x) => 1 - 1 => 0 and fsat(1 - x) => fsat(< 0) => 0
181 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
182
183 # (a * #b + #c) << #d
184 # ((a * #b) << #d) + (#c << #d)
185 # (a * (#b << #d)) + (#c << #d)
186 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
187 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
188
189 # (a * #b) << #c
190 # a * (#b << #c)
191 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
192
193 # Comparison simplifications
194 (('~inot', ('flt', a, b)), ('fge', a, b)),
195 (('~inot', ('fge', a, b)), ('flt', a, b)),
196 (('~inot', ('feq', a, b)), ('fne', a, b)),
197 (('~inot', ('fne', a, b)), ('feq', a, b)),
198 (('inot', ('ilt', a, b)), ('ige', a, b)),
199 (('inot', ('ult', a, b)), ('uge', a, b)),
200 (('inot', ('ige', a, b)), ('ilt', a, b)),
201 (('inot', ('uge', a, b)), ('ult', a, b)),
202 (('inot', ('ieq', a, b)), ('ine', a, b)),
203 (('inot', ('ine', a, b)), ('ieq', a, b)),
204
205 # This helps some shaders because, after some optimizations, they end up
206 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
207 # matching would be handled by CSE.
208 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
209 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
210 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
211 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
212 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
213 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
214 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
215 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
216 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
217 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
218
219 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
220 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
221 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
222 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
223 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
224 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
225
226 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
227 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
228 (('fge', 0.0, ('fsat(is_used_once)', a)), ('fge', 0.0, a)),
229 (('flt', 0.0, ('fsat(is_used_once)', a)), ('flt', 0.0, a)),
230
231 # 0.0 >= b2f(a)
232 # b2f(a) <= 0.0
233 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
234 # inot(a)
235 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
236
237 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
238
239 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
240 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
241 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
242 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
243 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
244 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
245 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
246 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
247 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
248 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
249 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
250 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
251 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
252 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
253 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
254 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
255 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
256 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
257 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
258 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
259
260 # -(b2f(a) + b2f(b)) < 0
261 # 0 < b2f(a) + b2f(b)
262 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
263 # a || b
264 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
265 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
266
267 # -(b2f(a) + b2f(b)) >= 0
268 # 0 >= b2f(a) + b2f(b)
269 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
270 # !(a || b)
271 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
272 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
273
274 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
275 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
276
277 # Some optimizations (below) convert things like (a < b || c < b) into
278 # (min(a, c) < b). However, this interfers with the previous optimizations
279 # that try to remove comparisons with negated sums of b2f. This just
280 # breaks that apart.
281 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
282 ('ior', ('flt', c, 0.0), ('ior', a, b))),
283
284 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
285 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
286 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
287 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
288
289 # Cannot remove the addition from ilt or ige due to overflow.
290 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
291 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
292
293 # fmin(-b2f(a), b) >= 0.0
294 # -b2f(a) >= 0.0 && b >= 0.0
295 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
296 # b2f(a) == 0.0 && b >= 0.0
297 # a == False && b >= 0.0
298 # !a && b >= 0.0
299 #
300 # The fge in the second replacement is not a typo. I leave the proof that
301 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
302 # reader.
303 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
304 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
305
306 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
307 (('fne', ('b2f', 'a@1'), 0.0), a),
308 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
309 (('ine', ('b2i', 'a@1'), 0), a),
310
311 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
312 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
313 (('fge', ('u2f', a), 0.0), True),
314 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
315 (('flt', ('u2f', a), 0.0), False),
316 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
317 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
318 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
319 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
320 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
321 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
322 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
323
324 # 0.0 < fabs(a)
325 # fabs(a) > 0.0
326 # fabs(a) != 0.0 because fabs(a) must be >= 0
327 # a != 0.0
328 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
329
330 # -fabs(a) < 0.0
331 # fabs(a) > 0.0
332 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
333
334 # 0.0 >= fabs(a)
335 # 0.0 == fabs(a) because fabs(a) must be >= 0
336 # 0.0 == a
337 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
338
339 # -fabs(a) >= 0.0
340 # 0.0 >= fabs(a)
341 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
342
343 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
344 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
345 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
346 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
347
348 # fmin(b2f(a), b)
349 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
350 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
351 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
352 #
353 # Since b is a constant, constant folding will eliminate the fmin and the
354 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
355 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
356
357 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
358
359 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
360 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
361 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
362 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
363 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
364 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
365 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
366 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
367 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
368 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
369 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
370 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
371 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
372 (('bcsel', a, True, b), ('ior', a, b)),
373 (('bcsel', a, a, b), ('ior', a, b)),
374 (('bcsel', a, b, False), ('iand', a, b)),
375 (('bcsel', a, b, a), ('iand', a, b)),
376 (('fmin', a, a), a),
377 (('fmax', a, a), a),
378 (('imin', a, a), a),
379 (('imax', a, a), a),
380 (('umin', a, a), a),
381 (('umax', a, a), a),
382 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
383 (('umax', ('umax', a, b), b), ('umax', a, b)),
384 (('imax', ('imax', a, b), b), ('imax', a, b)),
385 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
386 (('umin', ('umin', a, b), b), ('umin', a, b)),
387 (('imin', ('imin', a, b), b), ('imin', a, b)),
388 (('fmax', a, ('fneg', a)), ('fabs', a)),
389 (('imax', a, ('ineg', a)), ('iabs', a)),
390 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
391 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
392 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
393 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
394 (('fmin', a, ('fabs', a)), a),
395 (('imin', a, ('iabs', a)), a),
396 (('fmax', a, ('fneg', ('fabs', a))), a),
397 (('imax', a, ('ineg', ('iabs', a))), a),
398 (('fmax', a, ('fabs', a)), ('fabs', a)),
399 (('imax', a, ('iabs', a)), ('iabs', a)),
400 (('fmax', a, ('fneg', a)), ('fabs', a)),
401 (('imax', a, ('ineg', a)), ('iabs', a)),
402 (('~fmax', ('fabs', a), 0.0), ('fabs', a)),
403 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
404 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
405 (('~fmin', ('fmax', a, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
406 (('~fmax', ('fmin', a, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
407 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
408 (('fsat', ('b2f', a)), ('b2f', a)),
409 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
410 (('fsat', ('fsat', a)), ('fsat', a)),
411 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a, b))), ('fsat', ('fadd', ('fneg', a), ('fneg', b))), '!options->lower_negate && !options->lower_fsat'),
412 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fneg', a), b)), '!options->lower_negate && !options->lower_fsat'),
413 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fabs', a), ('fabs', b))), '!options->lower_fsat'),
414 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
415 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
416 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
417 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
418 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
419 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
420 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
421 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
422 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
423 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
424 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
425 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
426 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
427 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
428 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
429 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
430 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
431 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
432 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
433 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
434 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
435 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
436
437 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
438 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
439 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
440 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
441 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
442 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
443 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
444 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
445 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
446 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
447 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
448 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
449 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
450 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
451 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
452 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
453
454 # Common pattern like 'if (i == 0 || i == 1 || ...)'
455 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
456 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
457 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
458
459 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
460 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
461 # so emit an open-coded version of that.
462 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
463 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
464
465 (('ior', a, ('ieq', a, False)), True),
466 (('ior', a, ('inot', a)), -1),
467
468 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
469 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
470
471 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0)),
472
473 # These patterns can result when (a < b || a < c) => (a < min(b, c))
474 # transformations occur before constant propagation and loop-unrolling.
475 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
476 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
477 (('~fge', a, ('fmin', b, a)), True),
478 (('~fge', ('fmax', a, b), a), True),
479 (('~flt', a, ('fmin', b, a)), False),
480 (('~flt', ('fmax', a, b), a), False),
481 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
482 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
483
484 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
485 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
486 (('ige', a, ('imin', b, a)), True),
487 (('ige', ('imax', a, b), a), True),
488 (('ult', a, ('umax', b, a)), ('ult', a, b)),
489 (('ult', ('umin', a, b), a), ('ult', b, a)),
490 (('uge', a, ('umin', b, a)), True),
491 (('uge', ('umax', a, b), a), True),
492 (('ilt', a, ('imin', b, a)), False),
493 (('ilt', ('imax', a, b), a), False),
494 (('ige', a, ('imax', b, a)), ('ige', a, b)),
495 (('ige', ('imin', a, b), a), ('ige', b, a)),
496 (('ult', a, ('umin', b, a)), False),
497 (('ult', ('umax', a, b), a), False),
498 (('uge', a, ('umax', b, a)), ('uge', a, b)),
499 (('uge', ('umin', a, b), a), ('uge', b, a)),
500 (('ult', a, ('iand', b, a)), False),
501 (('ult', ('ior', a, b), a), False),
502 (('uge', a, ('iand', b, a)), True),
503 (('uge', ('ior', a, b), a), True),
504
505 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
506 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
507 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
508 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
509 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
510 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
511 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
512 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
513 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
514 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
515 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
516 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
517 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
518 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
519 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
520 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
521
522 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
523 # negative.
524 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
525 ('iabs', ('ishr', a, b))),
526 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
527
528 (('fabs', ('slt', a, b)), ('slt', a, b)),
529 (('fabs', ('sge', a, b)), ('sge', a, b)),
530 (('fabs', ('seq', a, b)), ('seq', a, b)),
531 (('fabs', ('sne', a, b)), ('sne', a, b)),
532 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
533 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
534 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
535 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
536 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
537 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
538 # Emulating booleans
539 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
540 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
541 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
542 (('iand', 'a@bool32', 1.0), ('b2f', a)),
543 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
544 (('ineg', ('b2i32', 'a@32')), a),
545 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
546 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
547 # Comparison with the same args. Note that these are not done for
548 # the float versions because NaN always returns false on float
549 # inequalities.
550 (('ilt', a, a), False),
551 (('ige', a, a), True),
552 (('ieq', a, a), True),
553 (('ine', a, a), False),
554 (('ult', a, a), False),
555 (('uge', a, a), True),
556 # Logical and bit operations
557 (('iand', a, a), a),
558 (('iand', a, ~0), a),
559 (('iand', a, 0), 0),
560 (('ior', a, a), a),
561 (('ior', a, 0), a),
562 (('ior', a, True), True),
563 (('ixor', a, a), 0),
564 (('ixor', a, 0), a),
565 (('inot', ('inot', a)), a),
566 (('ior', ('iand', a, b), b), b),
567 (('ior', ('ior', a, b), b), ('ior', a, b)),
568 (('iand', ('ior', a, b), b), b),
569 (('iand', ('iand', a, b), b), ('iand', a, b)),
570 # DeMorgan's Laws
571 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
572 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
573 # Shift optimizations
574 (('ishl', 0, a), 0),
575 (('ishl', a, 0), a),
576 (('ishr', 0, a), 0),
577 (('ishr', a, 0), a),
578 (('ushr', 0, a), 0),
579 (('ushr', a, 0), a),
580 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
581 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
582 # Exponential/logarithmic identities
583 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
584 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
585 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
586 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
587 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
588 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
589 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
590 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
591 (('~fpow', a, 1.0), a),
592 (('~fpow', a, 2.0), ('fmul', a, a)),
593 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
594 (('~fpow', 2.0, a), ('fexp2', a)),
595 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
596 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
597 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
598 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
599 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
600 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
601 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
602 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
603 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
604 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
605 (('bcsel', ('flt', a, 0.0), 0.0, ('fsqrt', a)), ('fsqrt', ('fmax', a, 0.0))),
606 # Division and reciprocal
607 (('~fdiv', 1.0, a), ('frcp', a)),
608 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
609 (('~frcp', ('frcp', a)), a),
610 (('~frcp', ('fsqrt', a)), ('frsq', a)),
611 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
612 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
613 # Boolean simplifications
614 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
615 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
616 (('ieq', a, True), a),
617 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
618 (('ine', a, False), a),
619 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
620 (('bcsel', a, True, False), a),
621 (('bcsel', a, False, True), ('inot', a)),
622 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
623 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
624 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
625 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
626 (('bcsel', True, b, c), b),
627 (('bcsel', False, b, c), c),
628 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
629
630 (('bcsel', a, b, b), b),
631 (('fcsel', a, b, b), b),
632
633 # D3D Boolean emulation
634 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
635 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
636 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
637 ('ineg', ('b2i', ('iand', a, b)))),
638 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
639 ('ineg', ('b2i', ('ior', a, b)))),
640 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
641 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
642 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
643 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
644 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
645
646 # SM5 32-bit shifts are defined to use the 5 least significant bits
647 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
648 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
649 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
650
651 # Conversions
652 (('i2b32', ('b2i', 'a@32')), a),
653 (('f2i', ('ftrunc', a)), ('f2i', a)),
654 (('f2u', ('ftrunc', a)), ('f2u', a)),
655 (('i2b', ('ineg', a)), ('i2b', a)),
656 (('i2b', ('iabs', a)), ('i2b', a)),
657 (('fabs', ('b2f', a)), ('b2f', a)),
658 (('iabs', ('b2i', a)), ('b2i', a)),
659 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
660
661 # Ironically, mark these as imprecise because removing the conversions may
662 # preserve more precision than doing the conversions (e.g.,
663 # uint(float(0x81818181u)) == 0x81818200).
664 (('~f2i32', ('i2f', 'a@32')), a),
665 (('~f2i32', ('u2f', 'a@32')), a),
666 (('~f2u32', ('i2f', 'a@32')), a),
667 (('~f2u32', ('u2f', 'a@32')), a),
668
669 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
670 # says:
671 #
672 # It is undefined to convert a negative floating-point value to an
673 # uint.
674 #
675 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
676 # some optimizations in the i965 backend to proceed.
677 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
678 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
679 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
680 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
681
682 (('~fmin', ('fabs', a), 1.0), ('fsat', ('fabs', a)), '!options->lower_fsat'),
683
684 # The result of the multiply must be in [-1, 0], so the result of the ffma
685 # must be in [0, 1].
686 (('flt', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), False),
687 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), False),
688 (('fmax', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0)),
689 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0)),
690
691 # Packing and then unpacking does nothing
692 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
693 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
694 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
695 ('unpack_64_2x32_split_y', a)), a),
696
697 # Byte extraction
698 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
699 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
700 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
701 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
702 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
703 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
704 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
705 ]
706
707 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
708 # patterns like those below.
709 for op in ('ushr', 'ishr'):
710 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
711 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
712 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
713
714 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
715
716 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
717 # patterns like those below.
718 for op in ('extract_u8', 'extract_i8'):
719 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
720 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
721 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
722
723 optimizations.extend([
724 # Word extraction
725 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
726 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
727 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
728 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
729 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
730
731 # Subtracts
732 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
733 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
734 (('ussub_4x8', a, 0), a),
735 (('ussub_4x8', a, ~0), 0),
736 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
737 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
738 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
739 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
740 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
741 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
742 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
743 (('iabs', ('isub', 0, a)), ('iabs', a)),
744
745 # Propagate negation up multiplication chains
746 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
747 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
748
749 # Propagate constants up multiplication chains
750 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
751 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
752 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
753 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
754
755 # Reassociate constants in add/mul chains so they can be folded together.
756 # For now, we mostly only handle cases where the constants are separated by
757 # a single non-constant. We could do better eventually.
758 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
759 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
760 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
761 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
762 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
763
764 # By definition...
765 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
766 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
767 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
768
769 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
770 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
771 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
772
773 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
774
775 # Misc. lowering
776 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
777 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
778 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod'),
779 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
780 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
781
782 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
783 ('bcsel', ('ult', 31, 'bits'), 'insert',
784 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
785 'options->lower_bitfield_insert'),
786 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
787 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
788 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
789 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
790 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
791 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
792
793 # Alternative lowering that doesn't rely on bfi.
794 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
795 ('ior',
796 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
797 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
798 'options->lower_bitfield_insert_to_shifts'),
799
800 # Alternative lowering that uses bitfield_select.
801 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
802 ('bcsel', ('ult', 31, 'bits'), 'insert',
803 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
804 'options->lower_bitfield_insert_to_bitfield_select'),
805
806 (('ibitfield_extract', 'value', 'offset', 'bits'),
807 ('bcsel', ('ult', 31, 'bits'), 'value',
808 ('ibfe', 'value', 'offset', 'bits')),
809 'options->lower_bitfield_extract'),
810
811 (('ubitfield_extract', 'value', 'offset', 'bits'),
812 ('bcsel', ('ult', 31, 'bits'), 'value',
813 ('ubfe', 'value', 'offset', 'bits')),
814 'options->lower_bitfield_extract'),
815
816 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
817 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
818 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
819 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
820 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
821 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
822 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
823
824 (('ibitfield_extract', 'value', 'offset', 'bits'),
825 ('bcsel', ('ieq', 0, 'bits'),
826 0,
827 ('ishr',
828 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
829 ('isub', 32, 'bits'))),
830 'options->lower_bitfield_extract_to_shifts'),
831
832 (('ubitfield_extract', 'value', 'offset', 'bits'),
833 ('iand',
834 ('ushr', 'value', 'offset'),
835 ('bcsel', ('ieq', 'bits', 32),
836 0xffffffff,
837 ('isub', ('ishl', 1, 'bits'), 1))),
838 'options->lower_bitfield_extract_to_shifts'),
839
840 (('ifind_msb', 'value'),
841 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
842 'options->lower_ifind_msb'),
843
844 (('find_lsb', 'value'),
845 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
846 'options->lower_find_lsb'),
847
848 (('extract_i8', a, 'b@32'),
849 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
850 'options->lower_extract_byte'),
851
852 (('extract_u8', a, 'b@32'),
853 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
854 'options->lower_extract_byte'),
855
856 (('extract_i16', a, 'b@32'),
857 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
858 'options->lower_extract_word'),
859
860 (('extract_u16', a, 'b@32'),
861 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
862 'options->lower_extract_word'),
863
864 (('pack_unorm_2x16', 'v'),
865 ('pack_uvec2_to_uint',
866 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
867 'options->lower_pack_unorm_2x16'),
868
869 (('pack_unorm_4x8', 'v'),
870 ('pack_uvec4_to_uint',
871 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
872 'options->lower_pack_unorm_4x8'),
873
874 (('pack_snorm_2x16', 'v'),
875 ('pack_uvec2_to_uint',
876 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
877 'options->lower_pack_snorm_2x16'),
878
879 (('pack_snorm_4x8', 'v'),
880 ('pack_uvec4_to_uint',
881 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
882 'options->lower_pack_snorm_4x8'),
883
884 (('unpack_unorm_2x16', 'v'),
885 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
886 ('extract_u16', 'v', 1))),
887 65535.0),
888 'options->lower_unpack_unorm_2x16'),
889
890 (('unpack_unorm_4x8', 'v'),
891 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
892 ('extract_u8', 'v', 1),
893 ('extract_u8', 'v', 2),
894 ('extract_u8', 'v', 3))),
895 255.0),
896 'options->lower_unpack_unorm_4x8'),
897
898 (('unpack_snorm_2x16', 'v'),
899 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
900 ('extract_i16', 'v', 1))),
901 32767.0))),
902 'options->lower_unpack_snorm_2x16'),
903
904 (('unpack_snorm_4x8', 'v'),
905 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
906 ('extract_i8', 'v', 1),
907 ('extract_i8', 'v', 2),
908 ('extract_i8', 'v', 3))),
909 127.0))),
910 'options->lower_unpack_snorm_4x8'),
911
912 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
913 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
914 ])
915
916 # bit_size dependent lowerings
917 for bit_size in [8, 16, 32, 64]:
918 # convenience constants
919 intmax = (1 << (bit_size - 1)) - 1
920 intmin = 1 << (bit_size - 1)
921
922 optimizations += [
923 (('iadd_sat@' + str(bit_size), a, b),
924 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
925 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
926 (('isub_sat@' + str(bit_size), a, b),
927 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
928 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
929 ]
930
931 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
932
933 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
934 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
935 ('iand', (invert[left], a, b), (invert[right], c, d))))
936 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
937 ('ior', (invert[left], a, b), (invert[right], c, d))))
938
939 # Optimize x2bN(b2x(x)) -> x
940 for size in type_sizes('bool'):
941 aN = 'a@' + str(size)
942 f2bN = 'f2b' + str(size)
943 i2bN = 'i2b' + str(size)
944 optimizations.append(((f2bN, ('b2f', aN)), a))
945 optimizations.append(((i2bN, ('b2i', aN)), a))
946
947 # Optimize x2yN(b2x(x)) -> b2y
948 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
949 if x != 'f' and y != 'f' and x != y:
950 continue
951
952 b2x = 'b2f' if x == 'f' else 'b2i'
953 b2y = 'b2f' if y == 'f' else 'b2i'
954 x2yN = '{}2{}'.format(x, y)
955 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
956
957 # Optimize away x2xN(a@N)
958 for t in ['int', 'uint', 'float']:
959 for N in type_sizes(t):
960 x2xN = '{0}2{0}{1}'.format(t[0], N)
961 aN = 'a@{0}'.format(N)
962 optimizations.append(((x2xN, aN), a))
963
964 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
965 # In particular, we can optimize away everything except upcast of downcast and
966 # upcasts where the type differs from the other cast
967 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
968 if N < M:
969 # The outer cast is a down-cast. It doesn't matter what the size of the
970 # argument of the inner cast is because we'll never been in the upcast
971 # of downcast case. Regardless of types, we'll always end up with y2yN
972 # in the end.
973 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
974 x2xN = '{0}2{0}{1}'.format(x, N)
975 y2yM = '{0}2{0}{1}'.format(y, M)
976 y2yN = '{0}2{0}{1}'.format(y, N)
977 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
978 elif N > M:
979 # If the outer cast is an up-cast, we have to be more careful about the
980 # size of the argument of the inner cast and with types. In this case,
981 # the type is always the type of type up-cast which is given by the
982 # outer cast.
983 for P in type_sizes('uint'):
984 # We can't optimize away up-cast of down-cast.
985 if M < P:
986 continue
987
988 # Because we're doing down-cast of down-cast, the types always have
989 # to match between the two casts
990 for x in ['i', 'u']:
991 x2xN = '{0}2{0}{1}'.format(x, N)
992 x2xM = '{0}2{0}{1}'.format(x, M)
993 aP = 'a@{0}'.format(P)
994 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
995 else:
996 # The N == M case is handled by other optimizations
997 pass
998
999 def fexp2i(exp, bits):
1000 # We assume that exp is already in the right range.
1001 if bits == 16:
1002 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
1003 elif bits == 32:
1004 return ('ishl', ('iadd', exp, 127), 23)
1005 elif bits == 64:
1006 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
1007 else:
1008 assert False
1009
1010 def ldexp(f, exp, bits):
1011 # First, we clamp exp to a reasonable range. The maximum possible range
1012 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
1013 # a maximum range of [-149, 127]. This means that we can potentially have
1014 # a swing of +-276. If you start with FLT_MAX, you actually have to do
1015 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
1016 # spec, on the other hand, only requires that we handle an exponent value
1017 # in the range [-126, 128]. This implementation is *mostly* correct; it
1018 # handles a range on exp of [-252, 254] which allows you to create any
1019 # value (including denorms if the hardware supports it) and to adjust the
1020 # exponent of any normal value to anything you want.
1021 if bits == 16:
1022 exp = ('imin', ('imax', exp, -28), 30)
1023 elif bits == 32:
1024 exp = ('imin', ('imax', exp, -252), 254)
1025 elif bits == 64:
1026 exp = ('imin', ('imax', exp, -2044), 2046)
1027 else:
1028 assert False
1029
1030 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1031 # (We use ishr which isn't the same for -1, but the -1 case still works
1032 # since we use exp-exp/2 as the second exponent.) While the spec
1033 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1034 # work with denormals and doesn't allow for the full swing in exponents
1035 # that you can get with normalized values. Instead, we create two powers
1036 # of two and multiply by them each in turn. That way the effective range
1037 # of our exponent is doubled.
1038 pow2_1 = fexp2i(('ishr', exp, 1), bits)
1039 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
1040 return ('fmul', ('fmul', f, pow2_1), pow2_2)
1041
1042 optimizations += [
1043 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1044 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1045 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1046 ]
1047
1048 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1049 def bitfield_reverse(u):
1050 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1051 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1052 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1053 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1054 step5 = ('ior', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1055
1056 return step5
1057
1058 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1059
1060 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1061 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1062 # and, if a is a NaN then the second comparison will fail anyway.
1063 for op in ['flt', 'fge', 'feq']:
1064 optimizations += [
1065 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1066 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1067 ]
1068
1069 # Add optimizations to handle the case where the result of a ternary is
1070 # compared to a constant. This way we can take things like
1071 #
1072 # (a ? 0 : 1) > 0
1073 #
1074 # and turn it into
1075 #
1076 # a ? (0 > 0) : (1 > 0)
1077 #
1078 # which constant folding will eat for lunch. The resulting ternary will
1079 # further get cleaned up by the boolean reductions above and we will be
1080 # left with just the original variable "a".
1081 for op in ['flt', 'fge', 'feq', 'fne',
1082 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1083 optimizations += [
1084 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1085 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1086 ((op, '#d', ('bcsel', a, '#b', '#c')),
1087 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1088 ]
1089
1090
1091 # For example, this converts things like
1092 #
1093 # 1 + mix(0, a - 1, condition)
1094 #
1095 # into
1096 #
1097 # mix(1, (a-1)+1, condition)
1098 #
1099 # Other optimizations will rearrange the constants.
1100 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1101 optimizations += [
1102 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1103 ]
1104
1105 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1106 # states:
1107 #
1108 # If neither layout qualifier is specified, derivatives in compute shaders
1109 # return zero, which is consistent with the handling of built-in texture
1110 # functions like texture() in GLSL 4.50 compute shaders.
1111 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1112 'fddy', 'fddy_fine', 'fddy_coarse']:
1113 optimizations += [
1114 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1115 ]
1116
1117 # Some optimizations for ir3-specific instructions.
1118 optimizations += [
1119 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1120 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1121 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1122 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1123 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1124 ]
1125
1126 # This section contains "late" optimizations that should be run before
1127 # creating ffmas and calling regular optimizations for the final time.
1128 # Optimizations should go here if they help code generation and conflict
1129 # with the regular optimizations.
1130 before_ffma_optimizations = [
1131 # Propagate constants down multiplication chains
1132 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1133 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1134 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1135 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1136
1137 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1138 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1139 (('~fadd', ('fneg', a), a), 0.0),
1140 (('iadd', ('ineg', a), a), 0),
1141 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1142 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1143 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1144 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1145
1146 (('~flrp@32', ('fadd(is_used_once)', a, -1.0), ('fadd(is_used_once)', a, 1.0), d), ('fadd', ('flrp', -1.0, 1.0, d), a)),
1147 (('~flrp@32', ('fadd(is_used_once)', a, 1.0), ('fadd(is_used_once)', a, -1.0), d), ('fadd', ('flrp', 1.0, -1.0, d), a)),
1148 (('~flrp@32', ('fadd(is_used_once)', a, '#b'), ('fadd(is_used_once)', a, '#c'), d), ('fadd', ('fmul', d, ('fadd', c, ('fneg', b))), ('fadd', a, b))),
1149 ]
1150
1151 # This section contains "late" optimizations that should be run after the
1152 # regular optimizations have finished. Optimizations should go here if
1153 # they help code generation but do not necessarily produce code that is
1154 # more easily optimizable.
1155 late_optimizations = [
1156 # Most of these optimizations aren't quite safe when you get infinity or
1157 # Nan involved but the first one should be fine.
1158 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1159 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1160 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1161 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1162 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1163 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1164
1165 # nir_lower_to_source_mods will collapse this, but its existence during the
1166 # optimization loop can prevent other optimizations.
1167 (('fneg', ('fneg', a)), a),
1168
1169 # These are duplicated from the main optimizations table. The late
1170 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1171 # new patterns like these. The patterns that compare with zero are removed
1172 # because they are unlikely to be created in by anything in
1173 # late_optimizations.
1174 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
1175 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
1176 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
1177 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
1178 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
1179 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
1180
1181 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
1182 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
1183
1184 (('~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)))),
1185
1186 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
1187 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
1188 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
1189 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
1190 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
1191 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
1192 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
1193 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
1194 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
1195 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
1196
1197 (('ior', a, a), a),
1198 (('iand', a, a), a),
1199
1200 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
1201
1202 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1203 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1204 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1205 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1206
1207 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1208 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1209
1210 (('~fadd@32', 1.0, ('fmul(is_used_once)', c , ('fadd', b, -1.0 ))), ('fadd', ('fadd', 1.0, ('fneg', c)), ('fmul', b, c)), 'options->lower_flrp32'),
1211 (('~fadd@64', 1.0, ('fmul(is_used_once)', c , ('fadd', b, -1.0 ))), ('fadd', ('fadd', 1.0, ('fneg', c)), ('fmul', b, c)), 'options->lower_flrp64'),
1212
1213 # we do these late so that we don't get in the way of creating ffmas
1214 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1215 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1216
1217 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1218 ]
1219
1220 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1221 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1222 before_ffma_optimizations).render())
1223 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1224 late_optimizations).render())