nir/algebraic: Recognize (a < 0 || 0 < b) as min(a, -b) < 0
[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 from math import pi
33
34 # Convenience variables
35 a = 'a'
36 b = 'b'
37 c = 'c'
38 d = 'd'
39 e = 'e'
40
41 # Written in the form (<search>, <replace>) where <search> is an expression
42 # and <replace> is either an expression or a value. An expression is
43 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
44 # where each source is either an expression or a value. A value can be
45 # either a numeric constant or a string representing a variable name.
46 #
47 # If the opcode in a search expression is prefixed by a '~' character, this
48 # indicates that the operation is inexact. Such operations will only get
49 # applied to SSA values that do not have the exact bit set. This should be
50 # used by by any optimizations that are not bit-for-bit exact. It should not,
51 # however, be used for backend-requested lowering operations as those need to
52 # happen regardless of precision.
53 #
54 # Variable names are specified as "[#]name[@type][(cond)][.swiz]" where:
55 # "#" indicates that the given variable will only match constants,
56 # type indicates that the given variable will only match values from ALU
57 # instructions with the given output type,
58 # (cond) specifies an additional condition function (see nir_search_helpers.h),
59 # swiz is a swizzle applied to the variable (only in the <replace> expression)
60 #
61 # For constants, you have to be careful to make sure that it is the right
62 # type because python is unaware of the source and destination types of the
63 # opcodes.
64 #
65 # All expression types can have a bit-size specified. For opcodes, this
66 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
67 # type and size. In the search half of the expression this indicates that it
68 # should only match that particular bit-size. In the replace half of the
69 # expression this indicates that the constructed value should have that
70 # bit-size.
71 #
72 # A special condition "many-comm-expr" can be used with expressions to note
73 # that the expression and its subexpressions have more commutative expressions
74 # than nir_replace_instr can handle. If this special condition is needed with
75 # another condition, the two can be separated by a comma (e.g.,
76 # "(many-comm-expr,is_used_once)").
77
78 # based on https://web.archive.org/web/20180105155939/http://forum.devmaster.net/t/fast-and-accurate-sine-cosine/9648
79 def lowered_sincos(c):
80 x = ('fsub', ('fmul', 2.0, ('ffract', ('fadd', ('fmul', 0.5 / pi, a), c))), 1.0)
81 x = ('fmul', ('fsub', x, ('fmul', x, ('fabs', x))), 4.0)
82 return ('ffma', ('ffma', x, ('fabs', x), ('fneg', x)), 0.225, x)
83
84 optimizations = [
85
86 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b)), '!options->lower_bitops'),
87 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b)))), '!options->lower_bitops'),
88 (('ishl', a, '#b@32'), ('imul', a, ('ishl', 1, b)), 'options->lower_bitops'),
89
90 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
91 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
92 (('imul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('imul_high', a, b)), 'options->lower_mul_2x32_64'),
93 (('umul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('umul_high', a, b)), 'options->lower_mul_2x32_64'),
94 (('udiv', a, 1), a),
95 (('idiv', a, 1), a),
96 (('umod', a, 1), 0),
97 (('imod', a, 1), 0),
98 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b)), '!options->lower_bitops'),
99 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
100 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
101 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
102
103 (('fneg', ('fneg', a)), a),
104 (('ineg', ('ineg', a)), a),
105 (('fabs', ('fabs', a)), ('fabs', a)),
106 (('fabs', ('fneg', a)), ('fabs', a)),
107 (('fabs', ('u2f', a)), ('u2f', a)),
108 (('iabs', ('iabs', a)), ('iabs', a)),
109 (('iabs', ('ineg', a)), ('iabs', a)),
110 (('f2b', ('fneg', a)), ('f2b', a)),
111 (('i2b', ('ineg', a)), ('i2b', a)),
112 (('~fadd', a, 0.0), a),
113 (('iadd', a, 0), a),
114 (('usadd_4x8', a, 0), a),
115 (('usadd_4x8', a, ~0), ~0),
116 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
117 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
118 (('~fadd', ('fneg', a), a), 0.0),
119 (('iadd', ('ineg', a), a), 0),
120 (('iadd', ('ineg', a), ('iadd', a, b)), b),
121 (('iadd', a, ('iadd', ('ineg', a), b)), b),
122 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
123 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
124 (('fadd', ('fsat', a), ('fsat', ('fneg', a))), ('fsat', ('fabs', a))),
125 (('~fmul', a, 0.0), 0.0),
126 (('imul', a, 0), 0),
127 (('umul_unorm_4x8', a, 0), 0),
128 (('umul_unorm_4x8', a, ~0), a),
129 (('fmul', a, 1.0), a),
130 (('imul', a, 1), a),
131 (('fmul', a, -1.0), ('fneg', a)),
132 (('imul', a, -1), ('ineg', a)),
133 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
134 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
135 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
136 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
137 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
138 (('~ffma', 0.0, a, b), b),
139 (('~ffma', a, b, 0.0), ('fmul', a, b)),
140 (('ffma', 1.0, a, b), ('fadd', a, b)),
141 (('ffma', -1.0, a, b), ('fadd', ('fneg', a), b)),
142 (('~flrp', a, b, 0.0), a),
143 (('~flrp', a, b, 1.0), b),
144 (('~flrp', a, a, b), a),
145 (('~flrp', 0.0, a, b), ('fmul', a, b)),
146
147 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
148 (('~flrp', a, ('fadd(is_used_once)', a, b), c), ('fadd', ('fmul', b, c), a)),
149 (('~flrp@32', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp32'),
150 (('~flrp@64', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp64'),
151
152 (('~flrp@32', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp32'),
153 (('~flrp@64', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp64'),
154
155 (('~flrp@32', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp32'),
156 (('~flrp@64', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp64'),
157
158 (('~flrp', ('fmul(is_used_once)', a, b), ('fmul(is_used_once)', a, c), d), ('fmul', ('flrp', b, c, d), a)),
159
160 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
161 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
162 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
163 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
164 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
165 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
166 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
167 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
168 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
169 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
170 # These are the same as the previous three rules, but it depends on
171 # 1-fsat(x) <=> fsat(1-x). See below.
172 (('~fadd@32', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp32'),
173 (('~fadd@64', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp64'),
174
175 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
176 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
177 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
178 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
179 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
180
181 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
182 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
183
184 (('fdph', a, b), ('fdot4', ('vec4', 'a.x', 'a.y', 'a.z', 1.0), b), 'options->lower_fdph'),
185
186 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d), '!options->lower_fdph'),
187 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
188 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
189 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
190
191 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
192 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
193
194 (('fdot2', ('vec2', a, 0.0), b), ('fmul', a, b)),
195 (('fdot2', a, 1.0), ('fadd', 'a.x', 'a.y')),
196
197 # Lower fdot to fsum when it is available
198 (('fdot2', a, b), ('fsum2', ('fmul', a, b)), 'options->lower_fdot'),
199 (('fdot3', a, b), ('fsum3', ('fmul', a, b)), 'options->lower_fdot'),
200 (('fdot4', a, b), ('fsum4', ('fmul', a, b)), 'options->lower_fdot'),
201 (('fsum2', a), ('fadd', 'a.x', 'a.y'), 'options->lower_fdot'),
202
203 # If x >= 0 and x <= 1: fsat(1 - x) == 1 - fsat(x) trivially
204 # If x < 0: 1 - fsat(x) => 1 - 0 => 1 and fsat(1 - x) => fsat(> 1) => 1
205 # If x > 1: 1 - fsat(x) => 1 - 1 => 0 and fsat(1 - x) => fsat(< 0) => 0
206 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
207
208 # 1 - ((1 - a) * (1 - b))
209 # 1 - (1 - a - b + a*b)
210 # 1 - 1 + a + b - a*b
211 # a + b - a*b
212 # a + b*(1 - a)
213 # b*(1 - a) + 1*a
214 # flrp(b, 1, a)
215 (('~fadd@32', 1.0, ('fneg', ('fmul', ('fadd', 1.0, ('fneg', a)), ('fadd', 1.0, ('fneg', b))))),
216 ('flrp', b, 1.0, a), '!options->lower_flrp32'),
217
218 # (a * #b + #c) << #d
219 # ((a * #b) << #d) + (#c << #d)
220 # (a * (#b << #d)) + (#c << #d)
221 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
222 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
223
224 # (a * #b) << #c
225 # a * (#b << #c)
226 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
227
228 # Comparison simplifications
229 (('~inot', ('flt', a, b)), ('fge', a, b)),
230 (('~inot', ('fge', a, b)), ('flt', a, b)),
231 (('inot', ('feq', a, b)), ('fne', a, b)),
232 (('inot', ('fne', a, b)), ('feq', a, b)),
233 (('inot', ('ilt', a, b)), ('ige', a, b)),
234 (('inot', ('ult', a, b)), ('uge', a, b)),
235 (('inot', ('ige', a, b)), ('ilt', a, b)),
236 (('inot', ('uge', a, b)), ('ult', a, b)),
237 (('inot', ('ieq', a, b)), ('ine', a, b)),
238 (('inot', ('ine', a, b)), ('ieq', a, b)),
239
240 (('iand', ('feq', a, b), ('fne', a, b)), False),
241 (('iand', ('flt', a, b), ('flt', b, a)), False),
242 (('iand', ('ieq', a, b), ('ine', a, b)), False),
243 (('iand', ('ilt', a, b), ('ilt', b, a)), False),
244 (('iand', ('ult', a, b), ('ult', b, a)), False),
245
246 # This helps some shaders because, after some optimizations, they end up
247 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
248 # matching would be handled by CSE.
249 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
250 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
251 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
252 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
253 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
254 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
255 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
256 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
257 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
258 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
259
260 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
261 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
262 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
263 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
264 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
265 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
266
267 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
268 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
269 (('fge', 0.0, ('fsat(is_used_once)', a)), ('fge', 0.0, a)),
270 (('flt', 0.0, ('fsat(is_used_once)', a)), ('flt', 0.0, a)),
271
272 # 0.0 >= b2f(a)
273 # b2f(a) <= 0.0
274 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
275 # inot(a)
276 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
277
278 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
279
280 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
281 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
282 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
283 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
284 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
285 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
286 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
287 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
288 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
289 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
290 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
291 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
292 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
293 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
294 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
295 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
296 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
297 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
298 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
299 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
300
301 # -(b2f(a) + b2f(b)) < 0
302 # 0 < b2f(a) + b2f(b)
303 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
304 # a || b
305 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
306 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
307
308 # -(b2f(a) + b2f(b)) >= 0
309 # 0 >= b2f(a) + b2f(b)
310 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
311 # !(a || b)
312 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
313 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
314
315 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
316 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
317
318 # Some optimizations (below) convert things like (a < b || c < b) into
319 # (min(a, c) < b). However, this interfers with the previous optimizations
320 # that try to remove comparisons with negated sums of b2f. This just
321 # breaks that apart.
322 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
323 ('ior', ('flt', c, 0.0), ('ior', a, b))),
324
325 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
326 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
327 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
328 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
329
330 # Cannot remove the addition from ilt or ige due to overflow.
331 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
332 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
333
334 # fmin(-b2f(a), b) >= 0.0
335 # -b2f(a) >= 0.0 && b >= 0.0
336 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
337 # b2f(a) == 0.0 && b >= 0.0
338 # a == False && b >= 0.0
339 # !a && b >= 0.0
340 #
341 # The fge in the second replacement is not a typo. I leave the proof that
342 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
343 # reader.
344 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
345 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
346
347 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
348 (('fne', ('b2f', 'a@1'), 0.0), a),
349 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
350 (('ine', ('b2i', 'a@1'), 0), a),
351
352 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
353 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
354 (('fge', ('u2f', a), 0.0), True),
355 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
356 (('flt', ('u2f', a), 0.0), False),
357 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
358 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
359 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
360 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
361 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
362 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
363 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
364
365 # 0.0 < fabs(a)
366 # fabs(a) > 0.0
367 # fabs(a) != 0.0 because fabs(a) must be >= 0
368 # a != 0.0
369 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
370
371 # -fabs(a) < 0.0
372 # fabs(a) > 0.0
373 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
374
375 # 0.0 >= fabs(a)
376 # 0.0 == fabs(a) because fabs(a) must be >= 0
377 # 0.0 == a
378 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
379
380 # -fabs(a) >= 0.0
381 # 0.0 >= fabs(a)
382 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
383
384 # (a >= 0.0) && (a <= 1.0) -> fsat(a) == a
385 (('iand', ('fge', a, 0.0), ('fge', 1.0, a)), ('feq', a, ('fsat', a)), '!options->lower_fsat'),
386
387 # (a < 0.0) || (a > 1.0)
388 # !(!(a < 0.0) && !(a > 1.0))
389 # !((a >= 0.0) && (a <= 1.0))
390 # !(a == fsat(a))
391 # a != fsat(a)
392 (('ior', ('flt', a, 0.0), ('flt', 1.0, a)), ('fne', a, ('fsat', a)), '!options->lower_fsat'),
393
394 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
395 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
396 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
397 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
398
399 # fmin(b2f(a), b)
400 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
401 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
402 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
403 #
404 # Since b is a constant, constant folding will eliminate the fmin and the
405 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
406 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
407
408 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
409
410 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
411 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
412 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
413 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
414 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
415 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
416 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
417 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
418 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
419 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
420 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
421 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
422 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
423 (('bcsel', a, True, b), ('ior', a, b)),
424 (('bcsel', a, a, b), ('ior', a, b)),
425 (('bcsel', a, b, False), ('iand', a, b)),
426 (('bcsel', a, b, a), ('iand', a, b)),
427 (('fmin', a, a), a),
428 (('fmax', a, a), a),
429 (('imin', a, a), a),
430 (('imax', a, a), a),
431 (('umin', a, a), a),
432 (('umax', a, a), a),
433 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
434 (('umax', ('umax', a, b), b), ('umax', a, b)),
435 (('imax', ('imax', a, b), b), ('imax', a, b)),
436 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
437 (('umin', ('umin', a, b), b), ('umin', a, b)),
438 (('imin', ('imin', a, b), b), ('imin', a, b)),
439 (('fmax', a, ('fneg', a)), ('fabs', a)),
440 (('imax', a, ('ineg', a)), ('iabs', a)),
441 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
442 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
443 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
444 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
445 (('fmin', a, ('fabs', a)), a),
446 (('imin', a, ('iabs', a)), a),
447 (('fmax', a, ('fneg', ('fabs', a))), a),
448 (('imax', a, ('ineg', ('iabs', a))), a),
449 (('fmax', a, ('fabs', a)), ('fabs', a)),
450 (('imax', a, ('iabs', a)), ('iabs', a)),
451 (('fmax', a, ('fneg', a)), ('fabs', a)),
452 (('imax', a, ('ineg', a)), ('iabs', a)),
453 (('~fmax', ('fabs', a), 0.0), ('fabs', a)),
454 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
455 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
456 (('~fmin', ('fmax', a, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
457 (('~fmax', ('fmin', a, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
458 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
459 (('fsat', ('b2f', a)), ('b2f', a)),
460 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
461 (('fsat', ('fsat', a)), ('fsat', a)),
462 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a, b))), ('fsat', ('fadd', ('fneg', a), ('fneg', b))), '!options->lower_negate && !options->lower_fsat'),
463 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fneg', a), b)), '!options->lower_negate && !options->lower_fsat'),
464 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fabs', a), ('fabs', b))), '!options->lower_fsat'),
465 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
466 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
467 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
468 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
469 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
470 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
471 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
472 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
473 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
474 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
475 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
476 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
477 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
478 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
479 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
480 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
481 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
482 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
483 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
484 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
485 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
486 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
487
488 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
489 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
490 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
491 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
492 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
493 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
494 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
495 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
496 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
497 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
498 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
499 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
500 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
501 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
502 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
503 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
504
505 # These derive from the previous patterns with the application of b < 0 <=>
506 # 0 < -b. The transformation should be applied if either comparison is
507 # used once as this ensures that the number of comparisons will not
508 # increase. The sources to the ior and iand are not symmetric, so the
509 # rules have to be duplicated to get this behavior.
510 (('~ior', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
511 (('~ior', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
512 (('~ior', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
513 (('~ior', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
514 (('~iand', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
515 (('~iand', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
516 (('~iand', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
517 (('~iand', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
518
519 # Common pattern like 'if (i == 0 || i == 1 || ...)'
520 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
521 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
522 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
523
524 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
525 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
526 # so emit an open-coded version of that.
527 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
528 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
529
530 (('ior', a, ('ieq', a, False)), True),
531 (('ior', a, ('inot', a)), -1),
532
533 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
534 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
535
536 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0), '!options->lower_bitops'),
537
538 # These patterns can result when (a < b || a < c) => (a < min(b, c))
539 # transformations occur before constant propagation and loop-unrolling.
540 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
541 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
542 (('~fge', a, ('fmin', b, a)), True),
543 (('~fge', ('fmax', a, b), a), True),
544 (('~flt', a, ('fmin', b, a)), False),
545 (('~flt', ('fmax', a, b), a), False),
546 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
547 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
548
549 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
550 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
551 (('ige', a, ('imin', b, a)), True),
552 (('ige', ('imax', a, b), a), True),
553 (('ult', a, ('umax', b, a)), ('ult', a, b)),
554 (('ult', ('umin', a, b), a), ('ult', b, a)),
555 (('uge', a, ('umin', b, a)), True),
556 (('uge', ('umax', a, b), a), True),
557 (('ilt', a, ('imin', b, a)), False),
558 (('ilt', ('imax', a, b), a), False),
559 (('ige', a, ('imax', b, a)), ('ige', a, b)),
560 (('ige', ('imin', a, b), a), ('ige', b, a)),
561 (('ult', a, ('umin', b, a)), False),
562 (('ult', ('umax', a, b), a), False),
563 (('uge', a, ('umax', b, a)), ('uge', a, b)),
564 (('uge', ('umin', a, b), a), ('uge', b, a)),
565 (('ult', a, ('iand', b, a)), False),
566 (('ult', ('ior', a, b), a), False),
567 (('uge', a, ('iand', b, a)), True),
568 (('uge', ('ior', a, b), a), True),
569
570 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
571 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
572 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
573 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
574 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
575 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
576 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
577 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
578 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
579 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
580 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
581 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
582 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
583 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
584 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
585 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
586
587 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
588 # negative.
589 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
590 ('iabs', ('ishr', a, b))),
591 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
592
593 (('fabs', ('slt', a, b)), ('slt', a, b)),
594 (('fabs', ('sge', a, b)), ('sge', a, b)),
595 (('fabs', ('seq', a, b)), ('seq', a, b)),
596 (('fabs', ('sne', a, b)), ('sne', a, b)),
597 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
598 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
599 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
600 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
601 (('seq', ('seq', a, b), 1.0), ('seq', a, b)),
602 (('seq', ('sne', a, b), 1.0), ('sne', a, b)),
603 (('seq', ('slt', a, b), 1.0), ('slt', a, b)),
604 (('seq', ('sge', a, b), 1.0), ('sge', a, b)),
605 (('sne', ('seq', a, b), 0.0), ('seq', a, b)),
606 (('sne', ('sne', a, b), 0.0), ('sne', a, b)),
607 (('sne', ('slt', a, b), 0.0), ('slt', a, b)),
608 (('sne', ('sge', a, b), 0.0), ('sge', a, b)),
609 (('seq', ('seq', a, b), 0.0), ('sne', a, b)),
610 (('seq', ('sne', a, b), 0.0), ('seq', a, b)),
611 (('seq', ('slt', a, b), 0.0), ('sge', a, b)),
612 (('seq', ('sge', a, b), 0.0), ('slt', a, b)),
613 (('sne', ('seq', a, b), 1.0), ('sne', a, b)),
614 (('sne', ('sne', a, b), 1.0), ('seq', a, b)),
615 (('sne', ('slt', a, b), 1.0), ('sge', a, b)),
616 (('sne', ('sge', a, b), 1.0), ('slt', a, b)),
617 (('fall_equal2', a, b), ('fmin', ('seq', 'a.x', 'b.x'), ('seq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
618 (('fall_equal3', a, b), ('seq', ('fany_nequal3', a, b), 0.0), 'options->lower_vector_cmp'),
619 (('fall_equal4', a, b), ('seq', ('fany_nequal4', a, b), 0.0), 'options->lower_vector_cmp'),
620 (('fany_nequal2', a, b), ('fmax', ('sne', 'a.x', 'b.x'), ('sne', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
621 (('fany_nequal3', a, b), ('fsat', ('fdot3', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
622 (('fany_nequal4', a, b), ('fsat', ('fdot4', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
623 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
624 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
625 # Emulating booleans
626 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
627 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
628 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
629 (('iand', 'a@bool32', 1.0), ('b2f', a)),
630 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
631 (('ineg', ('b2i32', 'a@32')), a),
632 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
633 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
634 # Comparison with the same args. Note that these are not done for
635 # the float versions because NaN always returns false on float
636 # inequalities.
637 (('ilt', a, a), False),
638 (('ige', a, a), True),
639 (('ieq', a, a), True),
640 (('ine', a, a), False),
641 (('ult', a, a), False),
642 (('uge', a, a), True),
643 # Logical and bit operations
644 (('iand', a, a), a),
645 (('iand', a, ~0), a),
646 (('iand', a, 0), 0),
647 (('ior', a, a), a),
648 (('ior', a, 0), a),
649 (('ior', a, True), True),
650 (('ixor', a, a), 0),
651 (('ixor', a, 0), a),
652 (('inot', ('inot', a)), a),
653 (('ior', ('iand', a, b), b), b),
654 (('ior', ('ior', a, b), b), ('ior', a, b)),
655 (('iand', ('ior', a, b), b), b),
656 (('iand', ('iand', a, b), b), ('iand', a, b)),
657 # DeMorgan's Laws
658 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
659 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
660 # Shift optimizations
661 (('ishl', 0, a), 0),
662 (('ishl', a, 0), a),
663 (('ishr', 0, a), 0),
664 (('ishr', a, 0), a),
665 (('ushr', 0, a), 0),
666 (('ushr', a, 0), a),
667 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
668 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
669 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('iadd', 16, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
670 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('isub', 16, b))), ('urol', a, b), '!options->lower_rotate'),
671 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('iadd', 32, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
672 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('isub', 32, b))), ('urol', a, b), '!options->lower_rotate'),
673 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('iadd', 16, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
674 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('isub', 16, b))), ('uror', a, b), '!options->lower_rotate'),
675 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('iadd', 32, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
676 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('isub', 32, b))), ('uror', a, b), '!options->lower_rotate'),
677 (('urol@16', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 16, b))), 'options->lower_rotate'),
678 (('urol@32', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 32, b))), 'options->lower_rotate'),
679 (('uror@16', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 16, b))), 'options->lower_rotate'),
680 (('uror@32', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 32, b))), 'options->lower_rotate'),
681 # Exponential/logarithmic identities
682 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
683 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
684 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
685 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
686 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
687 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
688 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
689 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
690 (('~fpow', a, 1.0), a),
691 (('~fpow', a, 2.0), ('fmul', a, a)),
692 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
693 (('~fpow', 2.0, a), ('fexp2', a)),
694 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
695 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
696 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
697 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
698 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
699 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
700 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
701 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
702 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
703 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
704 (('bcsel', ('flt', a, 0.0), 0.0, ('fsqrt', a)), ('fsqrt', ('fmax', a, 0.0))),
705 # Division and reciprocal
706 (('~fdiv', 1.0, a), ('frcp', a)),
707 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
708 (('~frcp', ('frcp', a)), a),
709 (('~frcp', ('fsqrt', a)), ('frsq', a)),
710 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
711 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
712 # Trig
713 (('fsin', a), lowered_sincos(0.5), 'options->lower_sincos'),
714 (('fcos', a), lowered_sincos(0.75), 'options->lower_sincos'),
715 # Boolean simplifications
716 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
717 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
718 (('ieq', a, True), a),
719 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
720 (('ine', a, False), a),
721 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
722 (('bcsel', a, True, False), a),
723 (('bcsel', a, False, True), ('inot', a)),
724 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
725 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
726 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
727 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
728 (('bcsel', True, b, c), b),
729 (('bcsel', False, b, c), c),
730 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
731
732 (('bcsel', a, b, b), b),
733 (('fcsel', a, b, b), b),
734
735 # D3D Boolean emulation
736 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
737 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
738 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
739 ('ineg', ('b2i', ('iand', a, b)))),
740 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
741 ('ineg', ('b2i', ('ior', a, b)))),
742 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
743 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
744 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
745 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
746 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
747
748 # SM5 32-bit shifts are defined to use the 5 least significant bits
749 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
750 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
751 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
752
753 # Conversions
754 (('i2b32', ('b2i', 'a@32')), a),
755 (('f2i', ('ftrunc', a)), ('f2i', a)),
756 (('f2u', ('ftrunc', a)), ('f2u', a)),
757 (('i2b', ('ineg', a)), ('i2b', a)),
758 (('i2b', ('iabs', a)), ('i2b', a)),
759 (('fabs', ('b2f', a)), ('b2f', a)),
760 (('iabs', ('b2i', a)), ('b2i', a)),
761 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
762
763 # Ironically, mark these as imprecise because removing the conversions may
764 # preserve more precision than doing the conversions (e.g.,
765 # uint(float(0x81818181u)) == 0x81818200).
766 (('~f2i32', ('i2f', 'a@32')), a),
767 (('~f2i32', ('u2f', 'a@32')), a),
768 (('~f2u32', ('i2f', 'a@32')), a),
769 (('~f2u32', ('u2f', 'a@32')), a),
770
771 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
772 # says:
773 #
774 # It is undefined to convert a negative floating-point value to an
775 # uint.
776 #
777 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
778 # some optimizations in the i965 backend to proceed.
779 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
780 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
781 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
782 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
783
784 (('~fmin', ('fabs', a), 1.0), ('fsat', ('fabs', a)), '!options->lower_fsat'),
785
786 # The result of the multiply must be in [-1, 0], so the result of the ffma
787 # must be in [0, 1].
788 (('flt', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), False),
789 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), False),
790 (('fmax', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0)),
791 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0)),
792
793 # Packing and then unpacking does nothing
794 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
795 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
796 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
797 ('unpack_64_2x32_split_y', a)), a),
798
799 # Comparing two halves of an unpack separately. While this optimization
800 # should be correct for non-constant values, it's less obvious that it's
801 # useful in that case. For constant values, the pack will fold and we're
802 # guaranteed to reduce the whole tree to one instruction.
803 (('iand', ('ieq', ('unpack_32_2x16_split_x', a), '#b'),
804 ('ieq', ('unpack_32_2x16_split_y', a), '#c')),
805 ('ieq', a, ('pack_32_2x16_split', b, c))),
806
807 # Byte extraction
808 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
809 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
810 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
811 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
812 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
813 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
814 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
815 ]
816
817 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
818 # patterns like those below.
819 for op in ('ushr', 'ishr'):
820 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
821 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
822 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
823
824 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
825
826 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
827 # patterns like those below.
828 for op in ('extract_u8', 'extract_i8'):
829 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
830 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
831 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
832
833 optimizations.extend([
834 # Word extraction
835 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
836 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
837 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
838 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
839 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
840
841 # Subtracts
842 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
843 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
844 (('ussub_4x8', a, 0), a),
845 (('ussub_4x8', a, ~0), 0),
846 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
847 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
848 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
849 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
850 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
851 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
852 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
853 (('iabs', ('isub', 0, a)), ('iabs', a)),
854
855 # Propagate negation up multiplication chains
856 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
857 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
858
859 # Propagate constants up multiplication chains
860 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
861 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
862 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
863 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
864
865 # Reassociate constants in add/mul chains so they can be folded together.
866 # For now, we mostly only handle cases where the constants are separated by
867 # a single non-constant. We could do better eventually.
868 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
869 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
870 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
871 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
872 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
873
874 # Drop mul-div by the same value when there's no wrapping.
875 (('idiv', ('imul(no_signed_wrap)', a, b), b), a),
876
877 # By definition...
878 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
879 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
880 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
881
882 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
883 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
884 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
885
886 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
887
888 # Misc. lowering
889 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
890 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
891 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod'),
892 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
893 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
894
895 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
896 ('bcsel', ('ult', 31, 'bits'), 'insert',
897 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
898 'options->lower_bitfield_insert'),
899 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
900 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
901 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
902 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
903 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
904 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
905
906 # Alternative lowering that doesn't rely on bfi.
907 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
908 ('bcsel', ('ult', 31, 'bits'),
909 'insert',
910 (('ior',
911 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
912 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))))),
913 'options->lower_bitfield_insert_to_shifts'),
914
915 # Alternative lowering that uses bitfield_select.
916 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
917 ('bcsel', ('ult', 31, 'bits'), 'insert',
918 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
919 'options->lower_bitfield_insert_to_bitfield_select'),
920
921 (('ibitfield_extract', 'value', 'offset', 'bits'),
922 ('bcsel', ('ult', 31, 'bits'), 'value',
923 ('ibfe', 'value', 'offset', 'bits')),
924 'options->lower_bitfield_extract'),
925
926 (('ubitfield_extract', 'value', 'offset', 'bits'),
927 ('bcsel', ('ult', 31, 'bits'), 'value',
928 ('ubfe', 'value', 'offset', 'bits')),
929 'options->lower_bitfield_extract'),
930
931 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
932 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
933 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
934 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
935 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
936 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
937 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
938
939 (('ibitfield_extract', 'value', 'offset', 'bits'),
940 ('bcsel', ('ieq', 0, 'bits'),
941 0,
942 ('ishr',
943 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
944 ('isub', 32, 'bits'))),
945 'options->lower_bitfield_extract_to_shifts'),
946
947 (('ubitfield_extract', 'value', 'offset', 'bits'),
948 ('iand',
949 ('ushr', 'value', 'offset'),
950 ('bcsel', ('ieq', 'bits', 32),
951 0xffffffff,
952 ('isub', ('ishl', 1, 'bits'), 1))),
953 'options->lower_bitfield_extract_to_shifts'),
954
955 (('ifind_msb', 'value'),
956 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
957 'options->lower_ifind_msb'),
958
959 (('find_lsb', 'value'),
960 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
961 'options->lower_find_lsb'),
962
963 (('extract_i8', a, 'b@32'),
964 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
965 'options->lower_extract_byte'),
966
967 (('extract_u8', a, 'b@32'),
968 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
969 'options->lower_extract_byte'),
970
971 (('extract_i16', a, 'b@32'),
972 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
973 'options->lower_extract_word'),
974
975 (('extract_u16', a, 'b@32'),
976 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
977 'options->lower_extract_word'),
978
979 (('pack_unorm_2x16', 'v'),
980 ('pack_uvec2_to_uint',
981 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
982 'options->lower_pack_unorm_2x16'),
983
984 (('pack_unorm_4x8', 'v'),
985 ('pack_uvec4_to_uint',
986 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
987 'options->lower_pack_unorm_4x8'),
988
989 (('pack_snorm_2x16', 'v'),
990 ('pack_uvec2_to_uint',
991 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
992 'options->lower_pack_snorm_2x16'),
993
994 (('pack_snorm_4x8', 'v'),
995 ('pack_uvec4_to_uint',
996 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
997 'options->lower_pack_snorm_4x8'),
998
999 (('unpack_unorm_2x16', 'v'),
1000 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
1001 ('extract_u16', 'v', 1))),
1002 65535.0),
1003 'options->lower_unpack_unorm_2x16'),
1004
1005 (('unpack_unorm_4x8', 'v'),
1006 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
1007 ('extract_u8', 'v', 1),
1008 ('extract_u8', 'v', 2),
1009 ('extract_u8', 'v', 3))),
1010 255.0),
1011 'options->lower_unpack_unorm_4x8'),
1012
1013 (('unpack_snorm_2x16', 'v'),
1014 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
1015 ('extract_i16', 'v', 1))),
1016 32767.0))),
1017 'options->lower_unpack_snorm_2x16'),
1018
1019 (('unpack_snorm_4x8', 'v'),
1020 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
1021 ('extract_i8', 'v', 1),
1022 ('extract_i8', 'v', 2),
1023 ('extract_i8', 'v', 3))),
1024 127.0))),
1025 'options->lower_unpack_snorm_4x8'),
1026
1027 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
1028 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
1029 ])
1030
1031 # bit_size dependent lowerings
1032 for bit_size in [8, 16, 32, 64]:
1033 # convenience constants
1034 intmax = (1 << (bit_size - 1)) - 1
1035 intmin = 1 << (bit_size - 1)
1036
1037 optimizations += [
1038 (('iadd_sat@' + str(bit_size), a, b),
1039 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
1040 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
1041 (('isub_sat@' + str(bit_size), a, b),
1042 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
1043 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
1044 ]
1045
1046 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
1047
1048 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
1049 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
1050 ('iand', (invert[left], a, b), (invert[right], c, d))))
1051 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
1052 ('ior', (invert[left], a, b), (invert[right], c, d))))
1053
1054 # Optimize x2bN(b2x(x)) -> x
1055 for size in type_sizes('bool'):
1056 aN = 'a@' + str(size)
1057 f2bN = 'f2b' + str(size)
1058 i2bN = 'i2b' + str(size)
1059 optimizations.append(((f2bN, ('b2f', aN)), a))
1060 optimizations.append(((i2bN, ('b2i', aN)), a))
1061
1062 # Optimize x2yN(b2x(x)) -> b2y
1063 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
1064 if x != 'f' and y != 'f' and x != y:
1065 continue
1066
1067 b2x = 'b2f' if x == 'f' else 'b2i'
1068 b2y = 'b2f' if y == 'f' else 'b2i'
1069 x2yN = '{}2{}'.format(x, y)
1070 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
1071
1072 # Optimize away x2xN(a@N)
1073 for t in ['int', 'uint', 'float']:
1074 for N in type_sizes(t):
1075 x2xN = '{0}2{0}{1}'.format(t[0], N)
1076 aN = 'a@{0}'.format(N)
1077 optimizations.append(((x2xN, aN), a))
1078
1079 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
1080 # In particular, we can optimize away everything except upcast of downcast and
1081 # upcasts where the type differs from the other cast
1082 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
1083 if N < M:
1084 # The outer cast is a down-cast. It doesn't matter what the size of the
1085 # argument of the inner cast is because we'll never been in the upcast
1086 # of downcast case. Regardless of types, we'll always end up with y2yN
1087 # in the end.
1088 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
1089 x2xN = '{0}2{0}{1}'.format(x, N)
1090 y2yM = '{0}2{0}{1}'.format(y, M)
1091 y2yN = '{0}2{0}{1}'.format(y, N)
1092 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
1093 elif N > M:
1094 # If the outer cast is an up-cast, we have to be more careful about the
1095 # size of the argument of the inner cast and with types. In this case,
1096 # the type is always the type of type up-cast which is given by the
1097 # outer cast.
1098 for P in type_sizes('uint'):
1099 # We can't optimize away up-cast of down-cast.
1100 if M < P:
1101 continue
1102
1103 # Because we're doing down-cast of down-cast, the types always have
1104 # to match between the two casts
1105 for x in ['i', 'u']:
1106 x2xN = '{0}2{0}{1}'.format(x, N)
1107 x2xM = '{0}2{0}{1}'.format(x, M)
1108 aP = 'a@{0}'.format(P)
1109 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
1110 else:
1111 # The N == M case is handled by other optimizations
1112 pass
1113
1114 # Optimize comparisons with up-casts
1115 for t in ['int', 'uint', 'float']:
1116 for N, M in itertools.product(type_sizes(t), repeat=2):
1117 if N == 1 or N >= M:
1118 continue
1119
1120 x2xM = '{0}2{0}{1}'.format(t[0], M)
1121 x2xN = '{0}2{0}{1}'.format(t[0], N)
1122 aN = 'a@' + str(N)
1123 bN = 'b@' + str(N)
1124 xeq = 'feq' if t == 'float' else 'ieq'
1125 xne = 'fne' if t == 'float' else 'ine'
1126 xge = '{0}ge'.format(t[0])
1127 xlt = '{0}lt'.format(t[0])
1128
1129 # Up-casts are lossless so for correctly signed comparisons of
1130 # up-casted values we can do the comparison at the largest of the two
1131 # original sizes and drop one or both of the casts. (We have
1132 # optimizations to drop the no-op casts which this may generate.)
1133 for P in type_sizes(t):
1134 if P == 1 or P > N:
1135 continue
1136
1137 bP = 'b@' + str(P)
1138 optimizations += [
1139 ((xeq, (x2xM, aN), (x2xM, bP)), (xeq, a, (x2xN, b))),
1140 ((xne, (x2xM, aN), (x2xM, bP)), (xne, a, (x2xN, b))),
1141 ((xge, (x2xM, aN), (x2xM, bP)), (xge, a, (x2xN, b))),
1142 ((xlt, (x2xM, aN), (x2xM, bP)), (xlt, a, (x2xN, b))),
1143 ((xge, (x2xM, bP), (x2xM, aN)), (xge, (x2xN, b), a)),
1144 ((xlt, (x2xM, bP), (x2xM, aN)), (xlt, (x2xN, b), a)),
1145 ]
1146
1147 # The next bit doesn't work on floats because the range checks would
1148 # get way too complicated.
1149 if t in ['int', 'uint']:
1150 if t == 'int':
1151 xN_min = -(1 << (N - 1))
1152 xN_max = (1 << (N - 1)) - 1
1153 elif t == 'uint':
1154 xN_min = 0
1155 xN_max = (1 << N) - 1
1156 else:
1157 assert False
1158
1159 # If we're up-casting and comparing to a constant, we can unfold
1160 # the comparison into a comparison with the shrunk down constant
1161 # and a check that the constant fits in the smaller bit size.
1162 optimizations += [
1163 ((xeq, (x2xM, aN), '#b'),
1164 ('iand', (xeq, a, (x2xN, b)), (xeq, (x2xM, (x2xN, b)), b))),
1165 ((xne, (x2xM, aN), '#b'),
1166 ('ior', (xne, a, (x2xN, b)), (xne, (x2xM, (x2xN, b)), b))),
1167 ((xlt, (x2xM, aN), '#b'),
1168 ('iand', (xlt, xN_min, b),
1169 ('ior', (xlt, xN_max, b), (xlt, a, (x2xN, b))))),
1170 ((xlt, '#a', (x2xM, bN)),
1171 ('iand', (xlt, a, xN_max),
1172 ('ior', (xlt, a, xN_min), (xlt, (x2xN, a), b)))),
1173 ((xge, (x2xM, aN), '#b'),
1174 ('iand', (xge, xN_max, b),
1175 ('ior', (xge, xN_min, b), (xge, a, (x2xN, b))))),
1176 ((xge, '#a', (x2xM, bN)),
1177 ('iand', (xge, a, xN_min),
1178 ('ior', (xge, a, xN_max), (xge, (x2xN, a), b)))),
1179 ]
1180
1181 def fexp2i(exp, bits):
1182 # We assume that exp is already in the right range.
1183 if bits == 16:
1184 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
1185 elif bits == 32:
1186 return ('ishl', ('iadd', exp, 127), 23)
1187 elif bits == 64:
1188 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
1189 else:
1190 assert False
1191
1192 def ldexp(f, exp, bits):
1193 # First, we clamp exp to a reasonable range. The maximum possible range
1194 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
1195 # a maximum range of [-149, 127]. This means that we can potentially have
1196 # a swing of +-276. If you start with FLT_MAX, you actually have to do
1197 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
1198 # spec, on the other hand, only requires that we handle an exponent value
1199 # in the range [-126, 128]. This implementation is *mostly* correct; it
1200 # handles a range on exp of [-252, 254] which allows you to create any
1201 # value (including denorms if the hardware supports it) and to adjust the
1202 # exponent of any normal value to anything you want.
1203 if bits == 16:
1204 exp = ('imin', ('imax', exp, -28), 30)
1205 elif bits == 32:
1206 exp = ('imin', ('imax', exp, -252), 254)
1207 elif bits == 64:
1208 exp = ('imin', ('imax', exp, -2044), 2046)
1209 else:
1210 assert False
1211
1212 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1213 # (We use ishr which isn't the same for -1, but the -1 case still works
1214 # since we use exp-exp/2 as the second exponent.) While the spec
1215 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1216 # work with denormals and doesn't allow for the full swing in exponents
1217 # that you can get with normalized values. Instead, we create two powers
1218 # of two and multiply by them each in turn. That way the effective range
1219 # of our exponent is doubled.
1220 pow2_1 = fexp2i(('ishr', exp, 1), bits)
1221 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
1222 return ('fmul', ('fmul', f, pow2_1), pow2_2)
1223
1224 optimizations += [
1225 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1226 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1227 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1228 ]
1229
1230 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1231 def bitfield_reverse(u):
1232 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1233 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1234 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1235 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1236 step5 = ('ior(many-comm-expr)', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1237
1238 return step5
1239
1240 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1241
1242 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1243 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1244 # and, if a is a NaN then the second comparison will fail anyway.
1245 for op in ['flt', 'fge', 'feq']:
1246 optimizations += [
1247 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1248 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1249 ]
1250
1251 # Add optimizations to handle the case where the result of a ternary is
1252 # compared to a constant. This way we can take things like
1253 #
1254 # (a ? 0 : 1) > 0
1255 #
1256 # and turn it into
1257 #
1258 # a ? (0 > 0) : (1 > 0)
1259 #
1260 # which constant folding will eat for lunch. The resulting ternary will
1261 # further get cleaned up by the boolean reductions above and we will be
1262 # left with just the original variable "a".
1263 for op in ['flt', 'fge', 'feq', 'fne',
1264 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1265 optimizations += [
1266 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1267 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1268 ((op, '#d', ('bcsel', a, '#b', '#c')),
1269 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1270 ]
1271
1272
1273 # For example, this converts things like
1274 #
1275 # 1 + mix(0, a - 1, condition)
1276 #
1277 # into
1278 #
1279 # mix(1, (a-1)+1, condition)
1280 #
1281 # Other optimizations will rearrange the constants.
1282 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1283 optimizations += [
1284 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1285 ]
1286
1287 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1288 # states:
1289 #
1290 # If neither layout qualifier is specified, derivatives in compute shaders
1291 # return zero, which is consistent with the handling of built-in texture
1292 # functions like texture() in GLSL 4.50 compute shaders.
1293 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1294 'fddy', 'fddy_fine', 'fddy_coarse']:
1295 optimizations += [
1296 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1297 ]
1298
1299 # Some optimizations for ir3-specific instructions.
1300 optimizations += [
1301 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1302 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1303 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1304 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1305 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1306 ]
1307
1308 # This section contains "late" optimizations that should be run before
1309 # creating ffmas and calling regular optimizations for the final time.
1310 # Optimizations should go here if they help code generation and conflict
1311 # with the regular optimizations.
1312 before_ffma_optimizations = [
1313 # Propagate constants down multiplication chains
1314 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1315 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1316 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1317 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1318
1319 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1320 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1321 (('~fadd', ('fneg', a), a), 0.0),
1322 (('iadd', ('ineg', a), a), 0),
1323 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1324 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1325 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1326 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1327
1328 (('~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)),
1329 (('~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)),
1330 (('~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))),
1331 ]
1332
1333 # This section contains "late" optimizations that should be run after the
1334 # regular optimizations have finished. Optimizations should go here if
1335 # they help code generation but do not necessarily produce code that is
1336 # more easily optimizable.
1337 late_optimizations = [
1338 # Most of these optimizations aren't quite safe when you get infinity or
1339 # Nan involved but the first one should be fine.
1340 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1341 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1342 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1343 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1344 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1345 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1346
1347 # nir_lower_to_source_mods will collapse this, but its existence during the
1348 # optimization loop can prevent other optimizations.
1349 (('fneg', ('fneg', a)), a),
1350
1351 # These are duplicated from the main optimizations table. The late
1352 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1353 # new patterns like these. The patterns that compare with zero are removed
1354 # because they are unlikely to be created in by anything in
1355 # late_optimizations.
1356 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
1357 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
1358 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
1359 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
1360 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
1361 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
1362
1363 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
1364 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
1365
1366 (('~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)))),
1367
1368 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
1369 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
1370 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
1371 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
1372 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
1373 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
1374 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
1375 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
1376 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
1377 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
1378
1379 (('ior', a, a), a),
1380 (('iand', a, a), a),
1381
1382 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
1383
1384 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1385 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1386 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1387 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1388
1389 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1390 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1391
1392 (('~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'),
1393 (('~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'),
1394
1395 # A similar operation could apply to any ffma(#a, b, #(-a/2)), but this
1396 # particular operation is common for expanding values stored in a texture
1397 # from [0,1] to [-1,1].
1398 (('~ffma@32', a, 2.0, -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1399 (('~ffma@32', a, -2.0, -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1400 (('~ffma@32', a, -2.0, 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1401 (('~ffma@32', a, 2.0, 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1402 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1403 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1404 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1405 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1406
1407 # flrp(a, b, a)
1408 # a*(1-a) + b*a
1409 # a + -a*a + a*b (1)
1410 # a + a*(b - a)
1411 # Option 1: ffma(a, (b-a), a)
1412 #
1413 # Alternately, after (1):
1414 # a*(1+b) + -a*a
1415 # a*((1+b) + -a)
1416 #
1417 # Let b=1
1418 #
1419 # Option 2: ffma(a, 2, -(a*a))
1420 # Option 3: ffma(a, 2, (-a)*a)
1421 # Option 4: ffma(a, -a, (2*a)
1422 # Option 5: a * (2 - a)
1423 #
1424 # There are a lot of other possible combinations.
1425 (('~ffma@32', ('fadd', b, ('fneg', a)), a, a), ('flrp', a, b, a), '!options->lower_flrp32'),
1426 (('~ffma@32', a, 2.0, ('fneg', ('fmul', a, a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1427 (('~ffma@32', a, 2.0, ('fmul', ('fneg', a), a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1428 (('~ffma@32', a, ('fneg', a), ('fmul', 2.0, a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1429 (('~fmul@32', a, ('fadd', 2.0, ('fneg', a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1430
1431 # we do these late so that we don't get in the way of creating ffmas
1432 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1433 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1434
1435 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1436
1437 # Things that look like DPH in the source shader may get expanded to
1438 # something that looks like dot(v1.xyz, v2.xyz) + v1.w by the time it gets
1439 # to NIR. After FFMA is generated, this can look like:
1440 #
1441 # fadd(ffma(v1.z, v2.z, ffma(v1.y, v2.y, fmul(v1.x, v2.x))), v1.w)
1442 #
1443 # Reassociate the last addition into the first multiplication.
1444 (('~fadd', ('ffma(is_used_once)', a, b, ('ffma', c, d, ('fmul', 'e(is_not_const_and_not_fsign)', 'f(is_not_const_and_not_fsign)'))), 'g(is_not_const)'),
1445 ('ffma', a, b, ('ffma', c, d, ('ffma', e, 'f', 'g'))), '!options->intel_vec4'),
1446 (('~fadd', ('ffma(is_used_once)', a, b, ('fmul', 'e(is_not_const_and_not_fsign)', 'f(is_not_const_and_not_fsign)') ), 'g(is_not_const)'),
1447 ('ffma', a, b, ('ffma', e, 'f', 'g') ), '!options->intel_vec4'),
1448 ]
1449
1450 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1451 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1452 before_ffma_optimizations).render())
1453 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1454 late_optimizations).render())