nir/algebraic: Reassociate add-and-shift to be shift-and-add
[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 # This is common for address calculations. Reassociating may enable the
229 # 'a<<c' to be CSE'd. It also helps architectures that have an ISHLADD
230 # instruction or a constant offset field for in load / store instructions.
231 (('ishl', ('iadd', a, '#b'), '#c'), ('iadd', ('ishl', a, c), ('ishl', b, c))),
232
233 # Comparison simplifications
234 (('~inot', ('flt', a, b)), ('fge', a, b)),
235 (('~inot', ('fge', a, b)), ('flt', a, b)),
236 (('inot', ('feq', a, b)), ('fne', a, b)),
237 (('inot', ('fne', a, b)), ('feq', a, b)),
238 (('inot', ('ilt', a, b)), ('ige', a, b)),
239 (('inot', ('ult', a, b)), ('uge', a, b)),
240 (('inot', ('ige', a, b)), ('ilt', a, b)),
241 (('inot', ('uge', a, b)), ('ult', a, b)),
242 (('inot', ('ieq', a, b)), ('ine', a, b)),
243 (('inot', ('ine', a, b)), ('ieq', a, b)),
244
245 (('iand', ('feq', a, b), ('fne', a, b)), False),
246 (('iand', ('flt', a, b), ('flt', b, a)), False),
247 (('iand', ('ieq', a, b), ('ine', a, b)), False),
248 (('iand', ('ilt', a, b), ('ilt', b, a)), False),
249 (('iand', ('ult', a, b), ('ult', b, a)), False),
250
251 # This helps some shaders because, after some optimizations, they end up
252 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
253 # matching would be handled by CSE.
254 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
255 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
256 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
257 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
258 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
259 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
260 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
261 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
262 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
263 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
264
265 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
266 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
267 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
268 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
269 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
270 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
271
272 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
273 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
274 (('fge', 0.0, ('fsat(is_used_once)', a)), ('fge', 0.0, a)),
275 (('flt', 0.0, ('fsat(is_used_once)', a)), ('flt', 0.0, a)),
276
277 # 0.0 >= b2f(a)
278 # b2f(a) <= 0.0
279 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
280 # inot(a)
281 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
282
283 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
284
285 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
286 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
287 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
288 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
289 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
290 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
291 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
292 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
293 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
294 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
295 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
296 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
297 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
298 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
299 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
300 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
301 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
302 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
303 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
304 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
305
306 # -(b2f(a) + b2f(b)) < 0
307 # 0 < b2f(a) + b2f(b)
308 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
309 # a || b
310 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
311 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
312
313 # -(b2f(a) + b2f(b)) >= 0
314 # 0 >= b2f(a) + b2f(b)
315 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
316 # !(a || b)
317 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
318 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
319
320 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
321 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
322
323 # Some optimizations (below) convert things like (a < b || c < b) into
324 # (min(a, c) < b). However, this interfers with the previous optimizations
325 # that try to remove comparisons with negated sums of b2f. This just
326 # breaks that apart.
327 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
328 ('ior', ('flt', c, 0.0), ('ior', a, b))),
329
330 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
331 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
332 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
333 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
334 (('~flt', ('fadd(is_used_once)', a, '#b'), '#c'), ('flt', a, ('fadd', c, ('fneg', b)))),
335 (('~flt', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('flt', ('fneg', ('fadd', c, b)), a)),
336 (('~fge', ('fadd(is_used_once)', a, '#b'), '#c'), ('fge', a, ('fadd', c, ('fneg', b)))),
337 (('~fge', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('fge', ('fneg', ('fadd', c, b)), a)),
338 (('~feq', ('fadd(is_used_once)', a, '#b'), '#c'), ('feq', a, ('fadd', c, ('fneg', b)))),
339 (('~feq', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('feq', ('fneg', ('fadd', c, b)), a)),
340 (('~fne', ('fadd(is_used_once)', a, '#b'), '#c'), ('fne', a, ('fadd', c, ('fneg', b)))),
341 (('~fne', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('fne', ('fneg', ('fadd', c, b)), a)),
342
343 # Cannot remove the addition from ilt or ige due to overflow.
344 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
345 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
346
347 # fmin(-b2f(a), b) >= 0.0
348 # -b2f(a) >= 0.0 && b >= 0.0
349 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
350 # b2f(a) == 0.0 && b >= 0.0
351 # a == False && b >= 0.0
352 # !a && b >= 0.0
353 #
354 # The fge in the second replacement is not a typo. I leave the proof that
355 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
356 # reader.
357 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
358 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
359
360 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
361 (('fne', ('b2f', 'a@1'), 0.0), a),
362 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
363 (('ine', ('b2i', 'a@1'), 0), a),
364
365 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
366 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
367 (('fge', ('u2f', a), 0.0), True),
368 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
369 (('flt', ('u2f', a), 0.0), False),
370 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
371 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
372 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
373 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
374 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
375 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
376 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
377
378 # 0.0 < fabs(a)
379 # fabs(a) > 0.0
380 # fabs(a) != 0.0 because fabs(a) must be >= 0
381 # a != 0.0
382 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
383
384 # -fabs(a) < 0.0
385 # fabs(a) > 0.0
386 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
387
388 # 0.0 >= fabs(a)
389 # 0.0 == fabs(a) because fabs(a) must be >= 0
390 # 0.0 == a
391 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
392
393 # -fabs(a) >= 0.0
394 # 0.0 >= fabs(a)
395 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
396
397 # (a >= 0.0) && (a <= 1.0) -> fsat(a) == a
398 (('iand', ('fge', a, 0.0), ('fge', 1.0, a)), ('feq', a, ('fsat', a)), '!options->lower_fsat'),
399
400 # (a < 0.0) || (a > 1.0)
401 # !(!(a < 0.0) && !(a > 1.0))
402 # !((a >= 0.0) && (a <= 1.0))
403 # !(a == fsat(a))
404 # a != fsat(a)
405 (('ior', ('flt', a, 0.0), ('flt', 1.0, a)), ('fne', a, ('fsat', a)), '!options->lower_fsat'),
406
407 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
408 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
409 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
410 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
411
412 # fmin(b2f(a), b)
413 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
414 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
415 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
416 #
417 # Since b is a constant, constant folding will eliminate the fmin and the
418 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
419 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
420
421 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
422
423 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
424 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
425 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
426 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
427 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
428 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
429 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
430 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
431 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
432 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
433 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
434 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
435 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
436 (('bcsel', a, True, b), ('ior', a, b)),
437 (('bcsel', a, a, b), ('ior', a, b)),
438 (('bcsel', a, b, False), ('iand', a, b)),
439 (('bcsel', a, b, a), ('iand', a, b)),
440 (('fmin', a, a), a),
441 (('fmax', a, a), a),
442 (('imin', a, a), a),
443 (('imax', a, a), a),
444 (('umin', a, a), a),
445 (('umax', a, a), a),
446 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
447 (('umax', ('umax', a, b), b), ('umax', a, b)),
448 (('imax', ('imax', a, b), b), ('imax', a, b)),
449 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
450 (('umin', ('umin', a, b), b), ('umin', a, b)),
451 (('imin', ('imin', a, b), b), ('imin', a, b)),
452 (('fmax', a, ('fneg', a)), ('fabs', a)),
453 (('imax', a, ('ineg', a)), ('iabs', a)),
454 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
455 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
456 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
457 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
458 (('fmin', a, ('fabs', a)), a),
459 (('imin', a, ('iabs', a)), a),
460 (('fmax', a, ('fneg', ('fabs', a))), a),
461 (('imax', a, ('ineg', ('iabs', a))), a),
462 (('fmax', a, ('fabs', a)), ('fabs', a)),
463 (('imax', a, ('iabs', a)), ('iabs', a)),
464 (('fmax', a, ('fneg', a)), ('fabs', a)),
465 (('imax', a, ('ineg', a)), ('iabs', a)),
466 (('~fmax', ('fabs', a), 0.0), ('fabs', a)),
467 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
468 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
469 (('~fmin', ('fmax', a, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
470 (('~fmax', ('fmin', a, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_negate && !options->lower_fsat'),
471 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
472 (('fsat', ('b2f', a)), ('b2f', a)),
473 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
474 (('fsat', ('fsat', a)), ('fsat', a)),
475 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a, b))), ('fsat', ('fadd', ('fneg', a), ('fneg', b))), '!options->lower_negate && !options->lower_fsat'),
476 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fneg', a), b)), '!options->lower_negate && !options->lower_fsat'),
477 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fabs', a), ('fabs', b))), '!options->lower_fsat'),
478 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
479 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
480 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
481 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
482 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
483 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
484 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
485 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
486 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
487 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
488 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
489 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
490 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
491 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
492 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
493 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
494 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
495 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
496 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
497 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
498 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
499 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
500
501 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
502 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
503 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
504 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
505 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
506 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
507 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
508 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
509 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
510 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
511 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
512 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
513 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
514 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
515 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
516 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
517
518 # These derive from the previous patterns with the application of b < 0 <=>
519 # 0 < -b. The transformation should be applied if either comparison is
520 # used once as this ensures that the number of comparisons will not
521 # increase. The sources to the ior and iand are not symmetric, so the
522 # rules have to be duplicated to get this behavior.
523 (('~ior', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
524 (('~ior', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
525 (('~ior', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
526 (('~ior', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
527 (('~iand', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
528 (('~iand', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
529 (('~iand', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
530 (('~iand', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
531
532 # Common pattern like 'if (i == 0 || i == 1 || ...)'
533 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
534 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
535 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
536
537 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
538 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
539 # so emit an open-coded version of that.
540 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
541 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
542
543 (('ior', a, ('ieq', a, False)), True),
544 (('ior', a, ('inot', a)), -1),
545
546 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
547 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
548
549 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0), '!options->lower_bitops'),
550
551 # These patterns can result when (a < b || a < c) => (a < min(b, c))
552 # transformations occur before constant propagation and loop-unrolling.
553 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
554 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
555 (('~fge', a, ('fmin', b, a)), True),
556 (('~fge', ('fmax', a, b), a), True),
557 (('~flt', a, ('fmin', b, a)), False),
558 (('~flt', ('fmax', a, b), a), False),
559 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
560 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
561
562 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
563 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
564 (('ige', a, ('imin', b, a)), True),
565 (('ige', ('imax', a, b), a), True),
566 (('ult', a, ('umax', b, a)), ('ult', a, b)),
567 (('ult', ('umin', a, b), a), ('ult', b, a)),
568 (('uge', a, ('umin', b, a)), True),
569 (('uge', ('umax', a, b), a), True),
570 (('ilt', a, ('imin', b, a)), False),
571 (('ilt', ('imax', a, b), a), False),
572 (('ige', a, ('imax', b, a)), ('ige', a, b)),
573 (('ige', ('imin', a, b), a), ('ige', b, a)),
574 (('ult', a, ('umin', b, a)), False),
575 (('ult', ('umax', a, b), a), False),
576 (('uge', a, ('umax', b, a)), ('uge', a, b)),
577 (('uge', ('umin', a, b), a), ('uge', b, a)),
578 (('ult', a, ('iand', b, a)), False),
579 (('ult', ('ior', a, b), a), False),
580 (('uge', a, ('iand', b, a)), True),
581 (('uge', ('ior', a, b), a), True),
582
583 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
584 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
585 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
586 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
587 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
588 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
589 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
590 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
591 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
592 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
593 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
594 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
595 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
596 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
597 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
598 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
599
600 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
601 # negative.
602 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
603 ('iabs', ('ishr', a, b))),
604 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
605
606 (('fabs', ('slt', a, b)), ('slt', a, b)),
607 (('fabs', ('sge', a, b)), ('sge', a, b)),
608 (('fabs', ('seq', a, b)), ('seq', a, b)),
609 (('fabs', ('sne', a, b)), ('sne', a, b)),
610 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
611 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
612 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
613 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
614 (('seq', ('seq', a, b), 1.0), ('seq', a, b)),
615 (('seq', ('sne', a, b), 1.0), ('sne', a, b)),
616 (('seq', ('slt', a, b), 1.0), ('slt', a, b)),
617 (('seq', ('sge', a, b), 1.0), ('sge', a, b)),
618 (('sne', ('seq', a, b), 0.0), ('seq', a, b)),
619 (('sne', ('sne', a, b), 0.0), ('sne', a, b)),
620 (('sne', ('slt', a, b), 0.0), ('slt', a, b)),
621 (('sne', ('sge', a, b), 0.0), ('sge', a, b)),
622 (('seq', ('seq', a, b), 0.0), ('sne', a, b)),
623 (('seq', ('sne', a, b), 0.0), ('seq', a, b)),
624 (('seq', ('slt', a, b), 0.0), ('sge', a, b)),
625 (('seq', ('sge', a, b), 0.0), ('slt', a, b)),
626 (('sne', ('seq', a, b), 1.0), ('sne', a, b)),
627 (('sne', ('sne', a, b), 1.0), ('seq', a, b)),
628 (('sne', ('slt', a, b), 1.0), ('sge', a, b)),
629 (('sne', ('sge', a, b), 1.0), ('slt', a, b)),
630 (('fall_equal2', a, b), ('fmin', ('seq', 'a.x', 'b.x'), ('seq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
631 (('fall_equal3', a, b), ('seq', ('fany_nequal3', a, b), 0.0), 'options->lower_vector_cmp'),
632 (('fall_equal4', a, b), ('seq', ('fany_nequal4', a, b), 0.0), 'options->lower_vector_cmp'),
633 (('fany_nequal2', a, b), ('fmax', ('sne', 'a.x', 'b.x'), ('sne', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
634 (('fany_nequal3', a, b), ('fsat', ('fdot3', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
635 (('fany_nequal4', a, b), ('fsat', ('fdot4', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
636 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
637 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
638 # Emulating booleans
639 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
640 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
641 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
642 (('iand', 'a@bool32', 1.0), ('b2f', a)),
643 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
644 (('ineg', ('b2i32', 'a@32')), a),
645 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
646 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
647 # Comparison with the same args. Note that these are not done for
648 # the float versions because NaN always returns false on float
649 # inequalities.
650 (('ilt', a, a), False),
651 (('ige', a, a), True),
652 (('ieq', a, a), True),
653 (('ine', a, a), False),
654 (('ult', a, a), False),
655 (('uge', a, a), True),
656 # Logical and bit operations
657 (('iand', a, a), a),
658 (('iand', a, ~0), a),
659 (('iand', a, 0), 0),
660 (('ior', a, a), a),
661 (('ior', a, 0), a),
662 (('ior', a, True), True),
663 (('ixor', a, a), 0),
664 (('ixor', a, 0), a),
665 (('inot', ('inot', a)), a),
666 (('ior', ('iand', a, b), b), b),
667 (('ior', ('ior', a, b), b), ('ior', a, b)),
668 (('iand', ('ior', a, b), b), b),
669 (('iand', ('iand', a, b), b), ('iand', a, b)),
670 # DeMorgan's Laws
671 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
672 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
673 # Shift optimizations
674 (('ishl', 0, a), 0),
675 (('ishl', a, 0), a),
676 (('ishr', 0, a), 0),
677 (('ishr', a, 0), a),
678 (('ushr', 0, a), 0),
679 (('ushr', a, 0), a),
680 (('iand', 0xff, ('ushr@32', a, 24)), ('ushr', a, 24)),
681 (('iand', 0xffff, ('ushr@32', a, 16)), ('ushr', a, 16)),
682 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('iadd', 16, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
683 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('isub', 16, b))), ('urol', a, b), '!options->lower_rotate'),
684 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('iadd', 32, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
685 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('isub', 32, b))), ('urol', a, b), '!options->lower_rotate'),
686 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('iadd', 16, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
687 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('isub', 16, b))), ('uror', a, b), '!options->lower_rotate'),
688 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('iadd', 32, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
689 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('isub', 32, b))), ('uror', a, b), '!options->lower_rotate'),
690 (('urol@16', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 16, b))), 'options->lower_rotate'),
691 (('urol@32', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 32, b))), 'options->lower_rotate'),
692 (('uror@16', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 16, b))), 'options->lower_rotate'),
693 (('uror@32', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 32, b))), 'options->lower_rotate'),
694 # Exponential/logarithmic identities
695 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
696 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
697 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
698 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
699 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
700 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
701 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
702 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
703 (('~fpow', a, 1.0), a),
704 (('~fpow', a, 2.0), ('fmul', a, a)),
705 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
706 (('~fpow', 2.0, a), ('fexp2', a)),
707 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
708 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
709 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
710 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
711 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
712 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
713 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
714 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
715 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
716 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
717 (('bcsel', ('flt', a, 0.0), 0.0, ('fsqrt', a)), ('fsqrt', ('fmax', a, 0.0))),
718 # Division and reciprocal
719 (('~fdiv', 1.0, a), ('frcp', a)),
720 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
721 (('~frcp', ('frcp', a)), a),
722 (('~frcp', ('fsqrt', a)), ('frsq', a)),
723 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
724 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
725 # Trig
726 (('fsin', a), lowered_sincos(0.5), 'options->lower_sincos'),
727 (('fcos', a), lowered_sincos(0.75), 'options->lower_sincos'),
728 # Boolean simplifications
729 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
730 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
731 (('ieq', a, True), a),
732 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
733 (('ine', a, False), a),
734 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
735 (('bcsel', a, True, False), a),
736 (('bcsel', a, False, True), ('inot', a)),
737 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
738 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
739 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
740 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
741 (('bcsel', True, b, c), b),
742 (('bcsel', False, b, c), c),
743 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
744
745 (('bcsel', a, b, b), b),
746 (('fcsel', a, b, b), b),
747
748 # D3D Boolean emulation
749 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
750 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
751 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
752 ('ineg', ('b2i', ('iand', a, b)))),
753 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
754 ('ineg', ('b2i', ('ior', a, b)))),
755 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
756 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
757 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
758 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
759 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
760
761 # SM5 32-bit shifts are defined to use the 5 least significant bits
762 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
763 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
764 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
765
766 # Conversions
767 (('i2b32', ('b2i', 'a@32')), a),
768 (('f2i', ('ftrunc', a)), ('f2i', a)),
769 (('f2u', ('ftrunc', a)), ('f2u', a)),
770 (('i2b', ('ineg', a)), ('i2b', a)),
771 (('i2b', ('iabs', a)), ('i2b', a)),
772 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
773
774 # Ironically, mark these as imprecise because removing the conversions may
775 # preserve more precision than doing the conversions (e.g.,
776 # uint(float(0x81818181u)) == 0x81818200).
777 (('~f2i32', ('i2f', 'a@32')), a),
778 (('~f2i32', ('u2f', 'a@32')), a),
779 (('~f2u32', ('i2f', 'a@32')), a),
780 (('~f2u32', ('u2f', 'a@32')), a),
781
782 (('ffloor', 'a(is_integral)'), a),
783 (('fceil', 'a(is_integral)'), a),
784 (('ftrunc', 'a(is_integral)'), a),
785 (('ffract', 'a(is_integral)'), 0.0),
786 (('fabs', 'a(is_not_negative)'), a),
787 (('iabs', 'a(is_not_negative)'), a),
788 (('fsat', 'a(is_not_positive)'), 0.0),
789
790 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
791 # says:
792 #
793 # It is undefined to convert a negative floating-point value to an
794 # uint.
795 #
796 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
797 # some optimizations in the i965 backend to proceed.
798 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
799 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
800 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
801 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
802
803 (('~fmin', 'a(is_not_negative)', 1.0), ('fsat', a), '!options->lower_fsat'),
804
805 # The result of the multiply must be in [-1, 0], so the result of the ffma
806 # must be in [0, 1].
807 (('flt', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), False),
808 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), False),
809 (('fmax', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0)),
810 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0)),
811
812 (('fne', 'a(is_not_zero)', 0.0), True),
813 (('feq', 'a(is_not_zero)', 0.0), False),
814
815 (('fge', 'a(is_not_negative)', 'b(is_not_positive)'), True),
816 (('fge', 'b(is_not_positive)', 'a(is_gt_zero)'), False),
817 (('fge', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
818 (('fge', 'b(is_not_negative)', 'a(is_not_positive)'), True),
819
820 (('flt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
821 (('flt', 'b(is_not_positive)', 'a(is_gt_zero)'), True),
822 (('flt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
823 (('flt', 'b(is_not_negative)', 'a(is_not_positive)'), False),
824
825 (('ine', 'a(is_not_zero)', 0), True),
826 (('ieq', 'a(is_not_zero)', 0), False),
827
828 (('ige', 'a(is_not_negative)', 'b(is_not_positive)'), True),
829 (('ige', 'b(is_not_positive)', 'a(is_gt_zero)'), False),
830 (('ige', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
831 (('ige', 'b(is_not_negative)', 'a(is_not_positive)'), True),
832
833 (('ilt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
834 (('ilt', 'b(is_not_positive)', 'a(is_gt_zero)'), True),
835 (('ilt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
836 (('ilt', 'b(is_not_negative)', 'a(is_not_positive)'), False),
837
838 (('ult', 0, 'a(is_gt_zero)'), True),
839
840 # Packing and then unpacking does nothing
841 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
842 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
843 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
844 ('unpack_64_2x32_split_y', a)), a),
845
846 # Comparing two halves of an unpack separately. While this optimization
847 # should be correct for non-constant values, it's less obvious that it's
848 # useful in that case. For constant values, the pack will fold and we're
849 # guaranteed to reduce the whole tree to one instruction.
850 (('iand', ('ieq', ('unpack_32_2x16_split_x', a), '#b'),
851 ('ieq', ('unpack_32_2x16_split_y', a), '#c')),
852 ('ieq', a, ('pack_32_2x16_split', b, c))),
853
854 # Byte extraction
855 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
856 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
857 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
858 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
859 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
860 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
861 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte')
862 ]
863
864 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
865 # patterns like those below.
866 for op in ('ushr', 'ishr'):
867 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
868 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
869 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
870
871 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
872
873 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
874 # patterns like those below.
875 for op in ('extract_u8', 'extract_i8'):
876 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
877 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
878 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
879
880 optimizations.extend([
881 # Word extraction
882 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
883 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
884 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
885 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
886 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
887
888 # Subtracts
889 (('~fsub', a, ('fsub', 0.0, b)), ('fadd', a, b)),
890 (('isub', a, ('isub', 0, b)), ('iadd', a, b)),
891 (('ussub_4x8', a, 0), a),
892 (('ussub_4x8', a, ~0), 0),
893 (('fsub', a, b), ('fadd', a, ('fneg', b)), 'options->lower_sub'),
894 (('isub', a, b), ('iadd', a, ('ineg', b)), 'options->lower_sub'),
895 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
896 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
897 (('~fadd', a, ('fsub', 0.0, b)), ('fsub', a, b)),
898 (('iadd', a, ('isub', 0, b)), ('isub', a, b)),
899 (('fabs', ('fsub', 0.0, a)), ('fabs', a)),
900 (('iabs', ('isub', 0, a)), ('iabs', a)),
901
902 # Propagate negation up multiplication chains
903 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
904 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
905
906 # Propagate constants up multiplication chains
907 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
908 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
909 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
910 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
911
912 # Reassociate constants in add/mul chains so they can be folded together.
913 # For now, we mostly only handle cases where the constants are separated by
914 # a single non-constant. We could do better eventually.
915 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
916 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
917 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
918 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
919 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
920
921 # Drop mul-div by the same value when there's no wrapping.
922 (('idiv', ('imul(no_signed_wrap)', a, b), b), a),
923
924 # By definition...
925 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
926 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
927 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
928
929 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
930 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
931 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
932
933 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
934
935 # Misc. lowering
936 (('fmod@16', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
937 (('fmod@32', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
938 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod'),
939 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
940 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
941
942 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
943 ('bcsel', ('ult', 31, 'bits'), 'insert',
944 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
945 'options->lower_bitfield_insert'),
946 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
947 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
948 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
949 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
950 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
951 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
952
953 # Alternative lowering that doesn't rely on bfi.
954 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
955 ('bcsel', ('ult', 31, 'bits'),
956 'insert',
957 (('ior',
958 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
959 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))))),
960 'options->lower_bitfield_insert_to_shifts'),
961
962 # Alternative lowering that uses bitfield_select.
963 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
964 ('bcsel', ('ult', 31, 'bits'), 'insert',
965 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
966 'options->lower_bitfield_insert_to_bitfield_select'),
967
968 (('ibitfield_extract', 'value', 'offset', 'bits'),
969 ('bcsel', ('ult', 31, 'bits'), 'value',
970 ('ibfe', 'value', 'offset', 'bits')),
971 'options->lower_bitfield_extract'),
972
973 (('ubitfield_extract', 'value', 'offset', 'bits'),
974 ('bcsel', ('ult', 31, 'bits'), 'value',
975 ('ubfe', 'value', 'offset', 'bits')),
976 'options->lower_bitfield_extract'),
977
978 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
979 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
980 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
981 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
982 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
983 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
984 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
985
986 (('ibitfield_extract', 'value', 'offset', 'bits'),
987 ('bcsel', ('ieq', 0, 'bits'),
988 0,
989 ('ishr',
990 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
991 ('isub', 32, 'bits'))),
992 'options->lower_bitfield_extract_to_shifts'),
993
994 (('ubitfield_extract', 'value', 'offset', 'bits'),
995 ('iand',
996 ('ushr', 'value', 'offset'),
997 ('bcsel', ('ieq', 'bits', 32),
998 0xffffffff,
999 ('isub', ('ishl', 1, 'bits'), 1))),
1000 'options->lower_bitfield_extract_to_shifts'),
1001
1002 (('ifind_msb', 'value'),
1003 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
1004 'options->lower_ifind_msb'),
1005
1006 (('find_lsb', 'value'),
1007 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
1008 'options->lower_find_lsb'),
1009
1010 (('extract_i8', a, 'b@32'),
1011 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
1012 'options->lower_extract_byte'),
1013
1014 (('extract_u8', a, 'b@32'),
1015 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
1016 'options->lower_extract_byte'),
1017
1018 (('extract_i16', a, 'b@32'),
1019 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
1020 'options->lower_extract_word'),
1021
1022 (('extract_u16', a, 'b@32'),
1023 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
1024 'options->lower_extract_word'),
1025
1026 (('pack_unorm_2x16', 'v'),
1027 ('pack_uvec2_to_uint',
1028 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
1029 'options->lower_pack_unorm_2x16'),
1030
1031 (('pack_unorm_4x8', 'v'),
1032 ('pack_uvec4_to_uint',
1033 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
1034 'options->lower_pack_unorm_4x8'),
1035
1036 (('pack_snorm_2x16', 'v'),
1037 ('pack_uvec2_to_uint',
1038 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
1039 'options->lower_pack_snorm_2x16'),
1040
1041 (('pack_snorm_4x8', 'v'),
1042 ('pack_uvec4_to_uint',
1043 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
1044 'options->lower_pack_snorm_4x8'),
1045
1046 (('unpack_unorm_2x16', 'v'),
1047 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
1048 ('extract_u16', 'v', 1))),
1049 65535.0),
1050 'options->lower_unpack_unorm_2x16'),
1051
1052 (('unpack_unorm_4x8', 'v'),
1053 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
1054 ('extract_u8', 'v', 1),
1055 ('extract_u8', 'v', 2),
1056 ('extract_u8', 'v', 3))),
1057 255.0),
1058 'options->lower_unpack_unorm_4x8'),
1059
1060 (('unpack_snorm_2x16', 'v'),
1061 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
1062 ('extract_i16', 'v', 1))),
1063 32767.0))),
1064 'options->lower_unpack_snorm_2x16'),
1065
1066 (('unpack_snorm_4x8', 'v'),
1067 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
1068 ('extract_i8', 'v', 1),
1069 ('extract_i8', 'v', 2),
1070 ('extract_i8', 'v', 3))),
1071 127.0))),
1072 'options->lower_unpack_snorm_4x8'),
1073
1074 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
1075 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
1076 ])
1077
1078 # bit_size dependent lowerings
1079 for bit_size in [8, 16, 32, 64]:
1080 # convenience constants
1081 intmax = (1 << (bit_size - 1)) - 1
1082 intmin = 1 << (bit_size - 1)
1083
1084 optimizations += [
1085 (('iadd_sat@' + str(bit_size), a, b),
1086 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
1087 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
1088 (('isub_sat@' + str(bit_size), a, b),
1089 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
1090 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
1091 ]
1092
1093 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
1094
1095 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
1096 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
1097 ('iand', (invert[left], a, b), (invert[right], c, d))))
1098 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
1099 ('ior', (invert[left], a, b), (invert[right], c, d))))
1100
1101 # Optimize x2bN(b2x(x)) -> x
1102 for size in type_sizes('bool'):
1103 aN = 'a@' + str(size)
1104 f2bN = 'f2b' + str(size)
1105 i2bN = 'i2b' + str(size)
1106 optimizations.append(((f2bN, ('b2f', aN)), a))
1107 optimizations.append(((i2bN, ('b2i', aN)), a))
1108
1109 # Optimize x2yN(b2x(x)) -> b2y
1110 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
1111 if x != 'f' and y != 'f' and x != y:
1112 continue
1113
1114 b2x = 'b2f' if x == 'f' else 'b2i'
1115 b2y = 'b2f' if y == 'f' else 'b2i'
1116 x2yN = '{}2{}'.format(x, y)
1117 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
1118
1119 # Optimize away x2xN(a@N)
1120 for t in ['int', 'uint', 'float']:
1121 for N in type_sizes(t):
1122 x2xN = '{0}2{0}{1}'.format(t[0], N)
1123 aN = 'a@{0}'.format(N)
1124 optimizations.append(((x2xN, aN), a))
1125
1126 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
1127 # In particular, we can optimize away everything except upcast of downcast and
1128 # upcasts where the type differs from the other cast
1129 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
1130 if N < M:
1131 # The outer cast is a down-cast. It doesn't matter what the size of the
1132 # argument of the inner cast is because we'll never been in the upcast
1133 # of downcast case. Regardless of types, we'll always end up with y2yN
1134 # in the end.
1135 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
1136 x2xN = '{0}2{0}{1}'.format(x, N)
1137 y2yM = '{0}2{0}{1}'.format(y, M)
1138 y2yN = '{0}2{0}{1}'.format(y, N)
1139 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
1140 elif N > M:
1141 # If the outer cast is an up-cast, we have to be more careful about the
1142 # size of the argument of the inner cast and with types. In this case,
1143 # the type is always the type of type up-cast which is given by the
1144 # outer cast.
1145 for P in type_sizes('uint'):
1146 # We can't optimize away up-cast of down-cast.
1147 if M < P:
1148 continue
1149
1150 # Because we're doing down-cast of down-cast, the types always have
1151 # to match between the two casts
1152 for x in ['i', 'u']:
1153 x2xN = '{0}2{0}{1}'.format(x, N)
1154 x2xM = '{0}2{0}{1}'.format(x, M)
1155 aP = 'a@{0}'.format(P)
1156 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
1157 else:
1158 # The N == M case is handled by other optimizations
1159 pass
1160
1161 # Optimize comparisons with up-casts
1162 for t in ['int', 'uint', 'float']:
1163 for N, M in itertools.product(type_sizes(t), repeat=2):
1164 if N == 1 or N >= M:
1165 continue
1166
1167 x2xM = '{0}2{0}{1}'.format(t[0], M)
1168 x2xN = '{0}2{0}{1}'.format(t[0], N)
1169 aN = 'a@' + str(N)
1170 bN = 'b@' + str(N)
1171 xeq = 'feq' if t == 'float' else 'ieq'
1172 xne = 'fne' if t == 'float' else 'ine'
1173 xge = '{0}ge'.format(t[0])
1174 xlt = '{0}lt'.format(t[0])
1175
1176 # Up-casts are lossless so for correctly signed comparisons of
1177 # up-casted values we can do the comparison at the largest of the two
1178 # original sizes and drop one or both of the casts. (We have
1179 # optimizations to drop the no-op casts which this may generate.)
1180 for P in type_sizes(t):
1181 if P == 1 or P > N:
1182 continue
1183
1184 bP = 'b@' + str(P)
1185 optimizations += [
1186 ((xeq, (x2xM, aN), (x2xM, bP)), (xeq, a, (x2xN, b))),
1187 ((xne, (x2xM, aN), (x2xM, bP)), (xne, a, (x2xN, b))),
1188 ((xge, (x2xM, aN), (x2xM, bP)), (xge, a, (x2xN, b))),
1189 ((xlt, (x2xM, aN), (x2xM, bP)), (xlt, a, (x2xN, b))),
1190 ((xge, (x2xM, bP), (x2xM, aN)), (xge, (x2xN, b), a)),
1191 ((xlt, (x2xM, bP), (x2xM, aN)), (xlt, (x2xN, b), a)),
1192 ]
1193
1194 # The next bit doesn't work on floats because the range checks would
1195 # get way too complicated.
1196 if t in ['int', 'uint']:
1197 if t == 'int':
1198 xN_min = -(1 << (N - 1))
1199 xN_max = (1 << (N - 1)) - 1
1200 elif t == 'uint':
1201 xN_min = 0
1202 xN_max = (1 << N) - 1
1203 else:
1204 assert False
1205
1206 # If we're up-casting and comparing to a constant, we can unfold
1207 # the comparison into a comparison with the shrunk down constant
1208 # and a check that the constant fits in the smaller bit size.
1209 optimizations += [
1210 ((xeq, (x2xM, aN), '#b'),
1211 ('iand', (xeq, a, (x2xN, b)), (xeq, (x2xM, (x2xN, b)), b))),
1212 ((xne, (x2xM, aN), '#b'),
1213 ('ior', (xne, a, (x2xN, b)), (xne, (x2xM, (x2xN, b)), b))),
1214 ((xlt, (x2xM, aN), '#b'),
1215 ('iand', (xlt, xN_min, b),
1216 ('ior', (xlt, xN_max, b), (xlt, a, (x2xN, b))))),
1217 ((xlt, '#a', (x2xM, bN)),
1218 ('iand', (xlt, a, xN_max),
1219 ('ior', (xlt, a, xN_min), (xlt, (x2xN, a), b)))),
1220 ((xge, (x2xM, aN), '#b'),
1221 ('iand', (xge, xN_max, b),
1222 ('ior', (xge, xN_min, b), (xge, a, (x2xN, b))))),
1223 ((xge, '#a', (x2xM, bN)),
1224 ('iand', (xge, a, xN_min),
1225 ('ior', (xge, a, xN_max), (xge, (x2xN, a), b)))),
1226 ]
1227
1228 def fexp2i(exp, bits):
1229 # We assume that exp is already in the right range.
1230 if bits == 16:
1231 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
1232 elif bits == 32:
1233 return ('ishl', ('iadd', exp, 127), 23)
1234 elif bits == 64:
1235 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
1236 else:
1237 assert False
1238
1239 def ldexp(f, exp, bits):
1240 # First, we clamp exp to a reasonable range. The maximum possible range
1241 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
1242 # a maximum range of [-149, 127]. This means that we can potentially have
1243 # a swing of +-276. If you start with FLT_MAX, you actually have to do
1244 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
1245 # spec, on the other hand, only requires that we handle an exponent value
1246 # in the range [-126, 128]. This implementation is *mostly* correct; it
1247 # handles a range on exp of [-252, 254] which allows you to create any
1248 # value (including denorms if the hardware supports it) and to adjust the
1249 # exponent of any normal value to anything you want.
1250 if bits == 16:
1251 exp = ('imin', ('imax', exp, -28), 30)
1252 elif bits == 32:
1253 exp = ('imin', ('imax', exp, -252), 254)
1254 elif bits == 64:
1255 exp = ('imin', ('imax', exp, -2044), 2046)
1256 else:
1257 assert False
1258
1259 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1260 # (We use ishr which isn't the same for -1, but the -1 case still works
1261 # since we use exp-exp/2 as the second exponent.) While the spec
1262 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1263 # work with denormals and doesn't allow for the full swing in exponents
1264 # that you can get with normalized values. Instead, we create two powers
1265 # of two and multiply by them each in turn. That way the effective range
1266 # of our exponent is doubled.
1267 pow2_1 = fexp2i(('ishr', exp, 1), bits)
1268 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
1269 return ('fmul', ('fmul', f, pow2_1), pow2_2)
1270
1271 optimizations += [
1272 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1273 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1274 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1275 ]
1276
1277 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1278 def bitfield_reverse(u):
1279 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1280 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1281 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1282 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1283 step5 = ('ior(many-comm-expr)', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1284
1285 return step5
1286
1287 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1288
1289 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1290 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1291 # and, if a is a NaN then the second comparison will fail anyway.
1292 for op in ['flt', 'fge', 'feq']:
1293 optimizations += [
1294 (('iand', ('feq', a, a), (op, a, b)), (op, a, b)),
1295 (('iand', ('feq', a, a), (op, b, a)), (op, b, a)),
1296 ]
1297
1298 # Add optimizations to handle the case where the result of a ternary is
1299 # compared to a constant. This way we can take things like
1300 #
1301 # (a ? 0 : 1) > 0
1302 #
1303 # and turn it into
1304 #
1305 # a ? (0 > 0) : (1 > 0)
1306 #
1307 # which constant folding will eat for lunch. The resulting ternary will
1308 # further get cleaned up by the boolean reductions above and we will be
1309 # left with just the original variable "a".
1310 for op in ['flt', 'fge', 'feq', 'fne',
1311 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1312 optimizations += [
1313 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1314 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1315 ((op, '#d', ('bcsel', a, '#b', '#c')),
1316 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1317 ]
1318
1319
1320 # For example, this converts things like
1321 #
1322 # 1 + mix(0, a - 1, condition)
1323 #
1324 # into
1325 #
1326 # mix(1, (a-1)+1, condition)
1327 #
1328 # Other optimizations will rearrange the constants.
1329 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1330 optimizations += [
1331 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1332 ]
1333
1334 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1335 # states:
1336 #
1337 # If neither layout qualifier is specified, derivatives in compute shaders
1338 # return zero, which is consistent with the handling of built-in texture
1339 # functions like texture() in GLSL 4.50 compute shaders.
1340 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1341 'fddy', 'fddy_fine', 'fddy_coarse']:
1342 optimizations += [
1343 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1344 ]
1345
1346 # Some optimizations for ir3-specific instructions.
1347 optimizations += [
1348 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1349 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1350 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1351 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1352 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1353 ]
1354
1355 # This section contains "late" optimizations that should be run before
1356 # creating ffmas and calling regular optimizations for the final time.
1357 # Optimizations should go here if they help code generation and conflict
1358 # with the regular optimizations.
1359 before_ffma_optimizations = [
1360 # Propagate constants down multiplication chains
1361 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1362 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1363 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1364 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1365
1366 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1367 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1368 (('~fadd', ('fneg', a), a), 0.0),
1369 (('iadd', ('ineg', a), a), 0),
1370 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1371 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1372 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1373 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1374
1375 (('~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)),
1376 (('~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)),
1377 (('~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))),
1378 ]
1379
1380 # This section contains "late" optimizations that should be run after the
1381 # regular optimizations have finished. Optimizations should go here if
1382 # they help code generation but do not necessarily produce code that is
1383 # more easily optimizable.
1384 late_optimizations = [
1385 # Most of these optimizations aren't quite safe when you get infinity or
1386 # Nan involved but the first one should be fine.
1387 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1388 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1389 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1390 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1391 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1392 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1393
1394 # nir_lower_to_source_mods will collapse this, but its existence during the
1395 # optimization loop can prevent other optimizations.
1396 (('fneg', ('fneg', a)), a),
1397
1398 # These are duplicated from the main optimizations table. The late
1399 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1400 # new patterns like these. The patterns that compare with zero are removed
1401 # because they are unlikely to be created in by anything in
1402 # late_optimizations.
1403 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
1404 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
1405 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
1406 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
1407 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
1408 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
1409
1410 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
1411 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
1412
1413 (('~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)))),
1414
1415 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
1416 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
1417 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
1418 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
1419 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
1420 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
1421 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
1422 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
1423 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
1424 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
1425
1426 (('ior', a, a), a),
1427 (('iand', a, a), a),
1428
1429 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
1430
1431 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1432 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1433 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1434 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1435
1436 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1437 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1438
1439 (('~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'),
1440 (('~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'),
1441
1442 # A similar operation could apply to any ffma(#a, b, #(-a/2)), but this
1443 # particular operation is common for expanding values stored in a texture
1444 # from [0,1] to [-1,1].
1445 (('~ffma@32', a, 2.0, -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1446 (('~ffma@32', a, -2.0, -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1447 (('~ffma@32', a, -2.0, 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1448 (('~ffma@32', a, 2.0, 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1449 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1450 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1451 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1452 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1453
1454 # flrp(a, b, a)
1455 # a*(1-a) + b*a
1456 # a + -a*a + a*b (1)
1457 # a + a*(b - a)
1458 # Option 1: ffma(a, (b-a), a)
1459 #
1460 # Alternately, after (1):
1461 # a*(1+b) + -a*a
1462 # a*((1+b) + -a)
1463 #
1464 # Let b=1
1465 #
1466 # Option 2: ffma(a, 2, -(a*a))
1467 # Option 3: ffma(a, 2, (-a)*a)
1468 # Option 4: ffma(a, -a, (2*a)
1469 # Option 5: a * (2 - a)
1470 #
1471 # There are a lot of other possible combinations.
1472 (('~ffma@32', ('fadd', b, ('fneg', a)), a, a), ('flrp', a, b, a), '!options->lower_flrp32'),
1473 (('~ffma@32', a, 2.0, ('fneg', ('fmul', a, a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1474 (('~ffma@32', a, 2.0, ('fmul', ('fneg', a), a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1475 (('~ffma@32', a, ('fneg', a), ('fmul', 2.0, a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1476 (('~fmul@32', a, ('fadd', 2.0, ('fneg', a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1477
1478 # we do these late so that we don't get in the way of creating ffmas
1479 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1480 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1481
1482 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1483
1484 # Things that look like DPH in the source shader may get expanded to
1485 # something that looks like dot(v1.xyz, v2.xyz) + v1.w by the time it gets
1486 # to NIR. After FFMA is generated, this can look like:
1487 #
1488 # fadd(ffma(v1.z, v2.z, ffma(v1.y, v2.y, fmul(v1.x, v2.x))), v1.w)
1489 #
1490 # Reassociate the last addition into the first multiplication.
1491 (('~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)'),
1492 ('ffma', a, b, ('ffma', c, d, ('ffma', e, 'f', 'g'))), '!options->intel_vec4'),
1493 (('~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)'),
1494 ('ffma', a, b, ('ffma', e, 'f', 'g') ), '!options->intel_vec4'),
1495 ]
1496
1497 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1498 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1499 before_ffma_optimizations).render())
1500 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1501 late_optimizations).render())