nir: Add b2b opcodes
[mesa.git] / src / compiler / nir / nir_opt_algebraic.py
1 #
2 # Copyright (C) 2014 Intel Corporation
3 #
4 # Permission is hereby granted, free of charge, to any person obtaining a
5 # copy of this software and associated documentation files (the "Software"),
6 # to deal in the Software without restriction, including without limitation
7 # the rights to use, copy, modify, merge, publish, distribute, sublicense,
8 # and/or sell copies of the Software, and to permit persons to whom the
9 # Software is furnished to do so, subject to the following conditions:
10 #
11 # The above copyright notice and this permission notice (including the next
12 # paragraph) shall be included in all copies or substantial portions of the
13 # Software.
14 #
15 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
18 # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
20 # FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
21 # IN THE SOFTWARE.
22 #
23 # Authors:
24 # Jason Ekstrand (jason@jlekstrand.net)
25
26 from __future__ import print_function
27
28 from collections import OrderedDict
29 import nir_algebraic
30 from nir_opcodes import type_sizes
31 import itertools
32 import struct
33 from math import pi
34
35 # Convenience variables
36 a = 'a'
37 b = 'b'
38 c = 'c'
39 d = 'd'
40 e = 'e'
41
42 # Written in the form (<search>, <replace>) where <search> is an expression
43 # and <replace> is either an expression or a value. An expression is
44 # defined as a tuple of the form ([~]<op>, <src0>, <src1>, <src2>, <src3>)
45 # where each source is either an expression or a value. A value can be
46 # either a numeric constant or a string representing a variable name.
47 #
48 # If the opcode in a search expression is prefixed by a '~' character, this
49 # indicates that the operation is inexact. Such operations will only get
50 # applied to SSA values that do not have the exact bit set. This should be
51 # used by by any optimizations that are not bit-for-bit exact. It should not,
52 # however, be used for backend-requested lowering operations as those need to
53 # happen regardless of precision.
54 #
55 # Variable names are specified as "[#]name[@type][(cond)][.swiz]" where:
56 # "#" indicates that the given variable will only match constants,
57 # type indicates that the given variable will only match values from ALU
58 # instructions with the given output type,
59 # (cond) specifies an additional condition function (see nir_search_helpers.h),
60 # swiz is a swizzle applied to the variable (only in the <replace> expression)
61 #
62 # For constants, you have to be careful to make sure that it is the right
63 # type because python is unaware of the source and destination types of the
64 # opcodes.
65 #
66 # All expression types can have a bit-size specified. For opcodes, this
67 # looks like "op@32", for variables it is "a@32" or "a@uint32" to specify a
68 # type and size. In the search half of the expression this indicates that it
69 # should only match that particular bit-size. In the replace half of the
70 # expression this indicates that the constructed value should have that
71 # bit-size.
72 #
73 # If the opcode in a replacement expression is prefixed by a '!' character,
74 # this indicated that the new expression will be marked exact.
75 #
76 # A special condition "many-comm-expr" can be used with expressions to note
77 # that the expression and its subexpressions have more commutative expressions
78 # than nir_replace_instr can handle. If this special condition is needed with
79 # another condition, the two can be separated by a comma (e.g.,
80 # "(many-comm-expr,is_used_once)").
81
82 # based on https://web.archive.org/web/20180105155939/http://forum.devmaster.net/t/fast-and-accurate-sine-cosine/9648
83 def lowered_sincos(c):
84 x = ('fsub', ('fmul', 2.0, ('ffract', ('fadd', ('fmul', 0.5 / pi, a), c))), 1.0)
85 x = ('fmul', ('fsub', x, ('fmul', x, ('fabs', x))), 4.0)
86 return ('ffma', ('ffma', x, ('fabs', x), ('fneg', x)), 0.225, x)
87
88 def intBitsToFloat(i):
89 return struct.unpack('!f', struct.pack('!I', i))[0]
90
91 optimizations = [
92
93 (('imul', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b)), '!options->lower_bitops'),
94 (('imul', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b)))), '!options->lower_bitops'),
95 (('ishl', a, '#b@32'), ('imul', a, ('ishl', 1, b)), 'options->lower_bitops'),
96
97 (('unpack_64_2x32_split_x', ('imul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
98 (('unpack_64_2x32_split_x', ('umul_2x32_64(is_used_once)', a, b)), ('imul', a, b)),
99 (('imul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('imul_high', a, b)), 'options->lower_mul_2x32_64'),
100 (('umul_2x32_64', a, b), ('pack_64_2x32_split', ('imul', a, b), ('umul_high', a, b)), 'options->lower_mul_2x32_64'),
101 (('udiv', a, 1), a),
102 (('idiv', a, 1), a),
103 (('umod', a, 1), 0),
104 (('imod', a, 1), 0),
105 (('udiv', a, '#b@32(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b)), '!options->lower_bitops'),
106 (('idiv', a, '#b@32(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), 'options->lower_idiv'),
107 (('idiv', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), 'options->lower_idiv'),
108 (('umod', a, '#b(is_pos_power_of_two)'), ('iand', a, ('isub', b, 1))),
109
110 (('~fneg', ('fneg', a)), a),
111 (('ineg', ('ineg', a)), a),
112 (('fabs', ('fabs', a)), ('fabs', a)),
113 (('fabs', ('fneg', a)), ('fabs', a)),
114 (('fabs', ('u2f', a)), ('u2f', a)),
115 (('iabs', ('iabs', a)), ('iabs', a)),
116 (('iabs', ('ineg', a)), ('iabs', a)),
117 (('f2b', ('fneg', a)), ('f2b', a)),
118 (('i2b', ('ineg', a)), ('i2b', a)),
119 (('~fadd', a, 0.0), a),
120 (('iadd', a, 0), a),
121 (('usadd_4x8', a, 0), a),
122 (('usadd_4x8', a, ~0), ~0),
123 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
124 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
125 (('~fadd', ('fneg', a), a), 0.0),
126 (('iadd', ('ineg', a), a), 0),
127 (('iadd', ('ineg', a), ('iadd', a, b)), b),
128 (('iadd', a, ('iadd', ('ineg', a), b)), b),
129 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
130 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
131 (('fadd', ('fsat', a), ('fsat', ('fneg', a))), ('fsat', ('fabs', a))),
132 (('~fmul', a, 0.0), 0.0),
133 (('imul', a, 0), 0),
134 (('umul_unorm_4x8', a, 0), 0),
135 (('umul_unorm_4x8', a, ~0), a),
136 (('~fmul', a, 1.0), a),
137 (('imul', a, 1), a),
138 (('fmul', a, -1.0), ('fneg', a)),
139 (('imul', a, -1), ('ineg', a)),
140 # If a < 0: fsign(a)*a*a => -1*a*a => -a*a => abs(a)*a
141 # If a > 0: fsign(a)*a*a => 1*a*a => a*a => abs(a)*a
142 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
143 (('fmul', ('fsign', a), ('fmul', a, a)), ('fmul', ('fabs', a), a)),
144 (('fmul', ('fmul', ('fsign', a), a), a), ('fmul', ('fabs', a), a)),
145 (('~ffma', 0.0, a, b), b),
146 (('~ffma', a, b, 0.0), ('fmul', a, b)),
147 (('ffma', 1.0, a, b), ('fadd', a, b)),
148 (('ffma', -1.0, a, b), ('fadd', ('fneg', a), b)),
149 (('~flrp', a, b, 0.0), a),
150 (('~flrp', a, b, 1.0), b),
151 (('~flrp', a, a, b), a),
152 (('~flrp', 0.0, a, b), ('fmul', a, b)),
153
154 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
155 (('~flrp', a, ('fadd(is_used_once)', a, b), c), ('fadd', ('fmul', b, c), a)),
156 (('~flrp@32', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp32'),
157 (('~flrp@64', a, ('fadd', a, b), c), ('fadd', ('fmul', b, c), a), 'options->lower_flrp64'),
158
159 (('~flrp@32', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp32'),
160 (('~flrp@64', ('fadd', a, b), ('fadd', a, c), d), ('fadd', ('flrp', b, c, d), a), 'options->lower_flrp64'),
161
162 (('~flrp@32', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp32'),
163 (('~flrp@64', a, ('fmul(is_used_once)', a, b), c), ('fmul', ('flrp', 1.0, b, c), a), 'options->lower_flrp64'),
164
165 (('~flrp', ('fmul(is_used_once)', a, b), ('fmul(is_used_once)', a, c), d), ('fmul', ('flrp', b, c, d), a)),
166
167 (('~flrp', a, b, ('b2f', 'c@1')), ('bcsel', c, b, a), 'options->lower_flrp32'),
168 (('~flrp', a, 0.0, c), ('fadd', ('fmul', ('fneg', a), c), a)),
169 (('ftrunc', a), ('bcsel', ('flt', a, 0.0), ('fneg', ('ffloor', ('fabs', a))), ('ffloor', ('fabs', a))), 'options->lower_ftrunc'),
170 (('ffloor', a), ('fsub', a, ('ffract', a)), 'options->lower_ffloor'),
171 (('fadd', a, ('fneg', ('ffract', a))), ('ffloor', a), '!options->lower_ffloor'),
172 (('ffract', a), ('fsub', a, ('ffloor', a)), 'options->lower_ffract'),
173 (('fceil', a), ('fneg', ('ffloor', ('fneg', a))), 'options->lower_fceil'),
174 (('~fadd', ('fmul', a, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b, ('b2f', c))), ('bcsel', c, b, a), 'options->lower_flrp32'),
175 (('~fadd@32', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp32'),
176 (('~fadd@64', ('fmul', a, ('fadd', 1.0, ('fneg', c ) )), ('fmul', b, c )), ('flrp', a, b, c), '!options->lower_flrp64'),
177 # These are the same as the previous three rules, but it depends on
178 # 1-fsat(x) <=> fsat(1-x). See below.
179 (('~fadd@32', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp32'),
180 (('~fadd@64', ('fmul', a, ('fsat', ('fadd', 1.0, ('fneg', c )))), ('fmul', b, ('fsat', c))), ('flrp', a, b, ('fsat', c)), '!options->lower_flrp64'),
181
182 (('~fadd', a, ('fmul', ('b2f', 'c@1'), ('fadd', b, ('fneg', a)))), ('bcsel', c, b, a), 'options->lower_flrp32'),
183 (('~fadd@32', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp32'),
184 (('~fadd@64', a, ('fmul', c , ('fadd', b, ('fneg', a)))), ('flrp', a, b, c), '!options->lower_flrp64'),
185 (('ffma', a, b, c), ('fadd', ('fmul', a, b), c), 'options->lower_ffma'),
186 (('~fadd', ('fmul', a, b), c), ('ffma', a, b, c), 'options->fuse_ffma'),
187
188 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i32', 'a@bool')), ('fmul', b, c)), '#d'), '#e'),
189 ('bcsel', a, ('fmul', ('fadd', ('fmul', b, c), d), e), ('fmul', d, e))),
190
191 (('fdph', a, b), ('fdot4', ('vec4', 'a.x', 'a.y', 'a.z', 1.0), b), 'options->lower_fdph'),
192
193 (('fdot4', ('vec4', a, b, c, 1.0), d), ('fdph', ('vec3', a, b, c), d), '!options->lower_fdph'),
194 (('fdot4', ('vec4', a, 0.0, 0.0, 0.0), b), ('fmul', a, b)),
195 (('fdot4', ('vec4', a, b, 0.0, 0.0), c), ('fdot2', ('vec2', a, b), c)),
196 (('fdot4', ('vec4', a, b, c, 0.0), d), ('fdot3', ('vec3', a, b, c), d)),
197
198 (('fdot3', ('vec3', a, 0.0, 0.0), b), ('fmul', a, b)),
199 (('fdot3', ('vec3', a, b, 0.0), c), ('fdot2', ('vec2', a, b), c)),
200
201 (('fdot2', ('vec2', a, 0.0), b), ('fmul', a, b)),
202 (('fdot2', a, 1.0), ('fadd', 'a.x', 'a.y')),
203
204 # Lower fdot to fsum when it is available
205 (('fdot2', a, b), ('fsum2', ('fmul', a, b)), 'options->lower_fdot'),
206 (('fdot3', a, b), ('fsum3', ('fmul', a, b)), 'options->lower_fdot'),
207 (('fdot4', a, b), ('fsum4', ('fmul', a, b)), 'options->lower_fdot'),
208 (('fsum2', a), ('fadd', 'a.x', 'a.y'), 'options->lower_fdot'),
209
210 # If x >= 0 and x <= 1: fsat(1 - x) == 1 - fsat(x) trivially
211 # If x < 0: 1 - fsat(x) => 1 - 0 => 1 and fsat(1 - x) => fsat(> 1) => 1
212 # If x > 1: 1 - fsat(x) => 1 - 1 => 0 and fsat(1 - x) => fsat(< 0) => 0
213 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
214
215 # 1 - ((1 - a) * (1 - b))
216 # 1 - (1 - a - b + a*b)
217 # 1 - 1 + a + b - a*b
218 # a + b - a*b
219 # a + b*(1 - a)
220 # b*(1 - a) + 1*a
221 # flrp(b, 1, a)
222 (('~fadd@32', 1.0, ('fneg', ('fmul', ('fadd', 1.0, ('fneg', a)), ('fadd', 1.0, ('fneg', b))))),
223 ('flrp', b, 1.0, a), '!options->lower_flrp32'),
224
225 # (a * #b + #c) << #d
226 # ((a * #b) << #d) + (#c << #d)
227 # (a * (#b << #d)) + (#c << #d)
228 (('ishl', ('iadd', ('imul', a, '#b'), '#c'), '#d'),
229 ('iadd', ('imul', a, ('ishl', b, d)), ('ishl', c, d))),
230
231 # (a * #b) << #c
232 # a * (#b << #c)
233 (('ishl', ('imul', a, '#b'), '#c'), ('imul', a, ('ishl', b, c))),
234 ]
235
236 # Care must be taken here. Shifts in NIR uses only the lower log2(bitsize)
237 # bits of the second source. These replacements must correctly handle the
238 # case where (b % bitsize) + (c % bitsize) >= bitsize.
239 for s in [8, 16, 32, 64]:
240 mask = (1 << s) - 1
241
242 ishl = "ishl@{}".format(s)
243 ishr = "ishr@{}".format(s)
244 ushr = "ushr@{}".format(s)
245
246 in_bounds = ('ult', ('iadd', ('iand', b, mask), ('iand', c, mask)), s)
247
248 optimizations.extend([
249 ((ishl, (ishl, a, '#b'), '#c'), ('bcsel', in_bounds, (ishl, a, ('iadd', b, c)), 0)),
250 ((ushr, (ushr, a, '#b'), '#c'), ('bcsel', in_bounds, (ushr, a, ('iadd', b, c)), 0)),
251
252 # To get get -1 for large shifts of negative values, ishr must instead
253 # clamp the shift count to the maximum value.
254 ((ishr, (ishr, a, '#b'), '#c'),
255 (ishr, a, ('imin', ('iadd', ('iand', b, mask), ('iand', c, mask)), s - 1))),
256 ])
257
258 # Optimize a pattern of address calculation created by DXVK where the offset is
259 # divided by 4 and then multipled by 4. This can be turned into an iand and the
260 # additions before can be reassociated to CSE the iand instruction.
261 for log2 in range(1, 7): # powers of two from 2 to 64
262 v = 1 << log2
263 mask = 0xffffffff & ~(v - 1)
264 b_is_multiple = '#b(is_unsigned_multiple_of_{})'.format(v)
265
266 optimizations.extend([
267 # 'a >> #b << #b' -> 'a & ~((1 << #b) - 1)'
268 (('ishl@32', ('ushr@32', a, log2), log2), ('iand', a, mask)),
269
270 # Reassociate for improved CSE
271 (('iand@32', ('iadd@32', a, b_is_multiple), mask), ('iadd', ('iand', a, mask), b)),
272 ])
273
274 # To save space in the state tables, reduce to the set that is known to help.
275 # Previously, this was range(1, 32). In addition, a couple rules inside the
276 # loop are commented out. Revisit someday, probably after mesa/#2635 has some
277 # resolution.
278 for i in [1, 2, 16, 24]:
279 lo_mask = 0xffffffff >> i
280 hi_mask = (0xffffffff << i) & 0xffffffff
281
282 optimizations.extend([
283 # This pattern seems to only help in the soft-fp64 code.
284 (('ishl@32', ('iand', 'a@32', lo_mask), i), ('ishl', a, i)),
285 # (('ushr@32', ('iand', 'a@32', hi_mask), i), ('ushr', a, i)),
286 # (('ishr@32', ('iand', 'a@32', hi_mask), i), ('ishr', a, i)),
287
288 (('iand', ('ishl', 'a@32', i), hi_mask), ('ishl', a, i)),
289 (('iand', ('ushr', 'a@32', i), lo_mask), ('ushr', a, i)),
290 # (('iand', ('ishr', 'a@32', i), lo_mask), ('ushr', a, i)), # Yes, ushr is correct
291 ])
292
293 optimizations.extend([
294 # This is common for address calculations. Reassociating may enable the
295 # 'a<<c' to be CSE'd. It also helps architectures that have an ISHLADD
296 # instruction or a constant offset field for in load / store instructions.
297 (('ishl', ('iadd', a, '#b'), '#c'), ('iadd', ('ishl', a, c), ('ishl', b, c))),
298
299 # Comparison simplifications
300 (('~inot', ('flt', a, b)), ('fge', a, b)),
301 (('~inot', ('fge', a, b)), ('flt', a, b)),
302 (('inot', ('feq', a, b)), ('fne', a, b)),
303 (('inot', ('fne', a, b)), ('feq', a, b)),
304 (('inot', ('ilt', a, b)), ('ige', a, b)),
305 (('inot', ('ult', a, b)), ('uge', a, b)),
306 (('inot', ('ige', a, b)), ('ilt', a, b)),
307 (('inot', ('uge', a, b)), ('ult', a, b)),
308 (('inot', ('ieq', a, b)), ('ine', a, b)),
309 (('inot', ('ine', a, b)), ('ieq', a, b)),
310
311 (('iand', ('feq', a, b), ('fne', a, b)), False),
312 (('iand', ('flt', a, b), ('flt', b, a)), False),
313 (('iand', ('ieq', a, b), ('ine', a, b)), False),
314 (('iand', ('ilt', a, b), ('ilt', b, a)), False),
315 (('iand', ('ult', a, b), ('ult', b, a)), False),
316
317 # This helps some shaders because, after some optimizations, they end up
318 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
319 # matching would be handled by CSE.
320 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
321 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
322 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
323 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
324 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
325 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
326 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
327 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
328 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
329 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
330
331 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
332 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
333 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
334 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
335 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
336 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
337
338 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
339 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
340 (('fge', 0.0, ('fsat(is_used_once)', a)), ('fge', 0.0, a)),
341 (('flt', 0.0, ('fsat(is_used_once)', a)), ('flt', 0.0, a)),
342
343 # 0.0 >= b2f(a)
344 # b2f(a) <= 0.0
345 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
346 # inot(a)
347 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a)),
348
349 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a)),
350
351 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
352 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a, b)),
353 (('fne', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a, b)),
354 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a, b)),
355 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
356 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a, b)),
357 (('fne', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a, b)),
358 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a, b)),
359 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a, b)),
360 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a, b)),
361 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
362 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a, b))),
363 (('feq', ('bcsel', a, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a, b))),
364 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
365 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
366 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a, b))),
367 (('feq', ('bcsel', a, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a, b))),
368 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a, b)),
369 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a, b)),
370 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a, b)),
371
372 # -(b2f(a) + b2f(b)) < 0
373 # 0 < b2f(a) + b2f(b)
374 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
375 # a || b
376 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a, b)),
377 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a, b)),
378
379 # -(b2f(a) + b2f(b)) >= 0
380 # 0 >= b2f(a) + b2f(b)
381 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
382 # !(a || b)
383 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a, b))),
384 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a, b))),
385
386 (('flt', a, ('fneg', a)), ('flt', a, 0.0)),
387 (('fge', a, ('fneg', a)), ('fge', a, 0.0)),
388
389 # Some optimizations (below) convert things like (a < b || c < b) into
390 # (min(a, c) < b). However, this interfers with the previous optimizations
391 # that try to remove comparisons with negated sums of b2f. This just
392 # breaks that apart.
393 (('flt', ('fmin', c, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
394 ('ior', ('flt', c, 0.0), ('ior', a, b))),
395
396 (('~flt', ('fadd', a, b), a), ('flt', b, 0.0)),
397 (('~fge', ('fadd', a, b), a), ('fge', b, 0.0)),
398 (('~feq', ('fadd', a, b), a), ('feq', b, 0.0)),
399 (('~fne', ('fadd', a, b), a), ('fne', b, 0.0)),
400 (('~flt', ('fadd(is_used_once)', a, '#b'), '#c'), ('flt', a, ('fadd', c, ('fneg', b)))),
401 (('~flt', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('flt', ('fneg', ('fadd', c, b)), a)),
402 (('~fge', ('fadd(is_used_once)', a, '#b'), '#c'), ('fge', a, ('fadd', c, ('fneg', b)))),
403 (('~fge', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('fge', ('fneg', ('fadd', c, b)), a)),
404 (('~feq', ('fadd(is_used_once)', a, '#b'), '#c'), ('feq', a, ('fadd', c, ('fneg', b)))),
405 (('~feq', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('feq', ('fneg', ('fadd', c, b)), a)),
406 (('~fne', ('fadd(is_used_once)', a, '#b'), '#c'), ('fne', a, ('fadd', c, ('fneg', b)))),
407 (('~fne', ('fneg(is_used_once)', ('fadd(is_used_once)', a, '#b')), '#c'), ('fne', ('fneg', ('fadd', c, b)), a)),
408
409 # Cannot remove the addition from ilt or ige due to overflow.
410 (('ieq', ('iadd', a, b), a), ('ieq', b, 0)),
411 (('ine', ('iadd', a, b), a), ('ine', b, 0)),
412
413 # fmin(-b2f(a), b) >= 0.0
414 # -b2f(a) >= 0.0 && b >= 0.0
415 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
416 # b2f(a) == 0.0 && b >= 0.0
417 # a == False && b >= 0.0
418 # !a && b >= 0.0
419 #
420 # The fge in the second replacement is not a typo. I leave the proof that
421 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
422 # reader.
423 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
424 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a), ('fge', b, 0.0))),
425
426 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a)),
427 (('~fne', ('b2f', 'a@1'), 0.0), a),
428 (('ieq', ('b2i', 'a@1'), 0), ('inot', a)),
429 (('ine', ('b2i', 'a@1'), 0), a),
430
431 (('fne', ('u2f', a), 0.0), ('ine', a, 0)),
432 (('feq', ('u2f', a), 0.0), ('ieq', a, 0)),
433 (('fge', ('u2f', a), 0.0), True),
434 (('fge', 0.0, ('u2f', a)), ('uge', 0, a)), # ieq instead?
435 (('flt', ('u2f', a), 0.0), False),
436 (('flt', 0.0, ('u2f', a)), ('ult', 0, a)), # ine instead?
437 (('fne', ('i2f', a), 0.0), ('ine', a, 0)),
438 (('feq', ('i2f', a), 0.0), ('ieq', a, 0)),
439 (('fge', ('i2f', a), 0.0), ('ige', a, 0)),
440 (('fge', 0.0, ('i2f', a)), ('ige', 0, a)),
441 (('flt', ('i2f', a), 0.0), ('ilt', a, 0)),
442 (('flt', 0.0, ('i2f', a)), ('ilt', 0, a)),
443
444 # 0.0 < fabs(a)
445 # fabs(a) > 0.0
446 # fabs(a) != 0.0 because fabs(a) must be >= 0
447 # a != 0.0
448 (('~flt', 0.0, ('fabs', a)), ('fne', a, 0.0)),
449
450 # -fabs(a) < 0.0
451 # fabs(a) > 0.0
452 (('~flt', ('fneg', ('fabs', a)), 0.0), ('fne', a, 0.0)),
453
454 # 0.0 >= fabs(a)
455 # 0.0 == fabs(a) because fabs(a) must be >= 0
456 # 0.0 == a
457 (('fge', 0.0, ('fabs', a)), ('feq', a, 0.0)),
458
459 # -fabs(a) >= 0.0
460 # 0.0 >= fabs(a)
461 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
462
463 # (a >= 0.0) && (a <= 1.0) -> fsat(a) == a
464 (('iand', ('fge', a, 0.0), ('fge', 1.0, a)), ('feq', a, ('fsat', a)), '!options->lower_fsat'),
465
466 # (a < 0.0) || (a > 1.0)
467 # !(!(a < 0.0) && !(a > 1.0))
468 # !((a >= 0.0) && (a <= 1.0))
469 # !(a == fsat(a))
470 # a != fsat(a)
471 (('ior', ('flt', a, 0.0), ('flt', 1.0, a)), ('fne', a, ('fsat', a)), '!options->lower_fsat'),
472
473 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a, b))),
474 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a, b)))),
475 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
476 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a, b)))),
477
478 # fmin(b2f(a), b)
479 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
480 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
481 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
482 #
483 # Since b is a constant, constant folding will eliminate the fmin and the
484 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
485 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a, ('fmin', b, 1.0), ('fmin', b, 0.0))),
486
487 (('flt', ('fadd(is_used_once)', a, ('fneg', b)), 0.0), ('flt', a, b)),
488
489 (('fge', ('fneg', ('fabs', a)), 0.0), ('feq', a, 0.0)),
490 (('~bcsel', ('flt', b, a), b, a), ('fmin', a, b)),
491 (('~bcsel', ('flt', a, b), b, a), ('fmax', a, b)),
492 (('~bcsel', ('fge', a, b), b, a), ('fmin', a, b)),
493 (('~bcsel', ('fge', b, a), b, a), ('fmax', a, b)),
494 (('bcsel', ('i2b', a), b, c), ('bcsel', ('ine', a, 0), b, c)),
495 (('bcsel', ('inot', a), b, c), ('bcsel', a, c, b)),
496 (('bcsel', a, ('bcsel', a, b, c), d), ('bcsel', a, b, d)),
497 (('bcsel', a, b, ('bcsel', a, c, d)), ('bcsel', a, b, d)),
498 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
499 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, c, 'e')), ('bcsel', b, c, ('bcsel', a, d, 'e'))),
500 (('bcsel', a, ('bcsel', b, c, d), ('bcsel(is_used_once)', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
501 (('bcsel', a, ('bcsel(is_used_once)', b, c, d), ('bcsel', b, 'e', d)), ('bcsel', b, ('bcsel', a, c, 'e'), d)),
502 (('bcsel', a, True, b), ('ior', a, b)),
503 (('bcsel', a, a, b), ('ior', a, b)),
504 (('bcsel', a, b, False), ('iand', a, b)),
505 (('bcsel', a, b, a), ('iand', a, b)),
506 (('~fmin', a, a), a),
507 (('~fmax', a, a), a),
508 (('imin', a, a), a),
509 (('imax', a, a), a),
510 (('umin', a, a), a),
511 (('umax', a, a), a),
512 (('fmax', ('fmax', a, b), b), ('fmax', a, b)),
513 (('umax', ('umax', a, b), b), ('umax', a, b)),
514 (('imax', ('imax', a, b), b), ('imax', a, b)),
515 (('fmin', ('fmin', a, b), b), ('fmin', a, b)),
516 (('umin', ('umin', a, b), b), ('umin', a, b)),
517 (('imin', ('imin', a, b), b), ('imin', a, b)),
518 (('iand@32', a, ('inot', ('ishr', a, 31))), ('imax', a, 0)),
519
520 # Simplify logic to detect sign of an integer.
521 (('ieq', ('iand', a, 0x80000000), 0x00000000), ('ige', a, 0)),
522 (('ine', ('iand', a, 0x80000000), 0x80000000), ('ige', a, 0)),
523 (('ine', ('iand', a, 0x80000000), 0x00000000), ('ilt', a, 0)),
524 (('ieq', ('iand', a, 0x80000000), 0x80000000), ('ilt', a, 0)),
525 (('ine', ('ushr', 'a@32', 31), 0), ('ilt', a, 0)),
526 (('ieq', ('ushr', 'a@32', 31), 0), ('ige', a, 0)),
527 (('ieq', ('ushr', 'a@32', 31), 1), ('ilt', a, 0)),
528 (('ine', ('ushr', 'a@32', 31), 1), ('ige', a, 0)),
529 (('ine', ('ishr', 'a@32', 31), 0), ('ilt', a, 0)),
530 (('ieq', ('ishr', 'a@32', 31), 0), ('ige', a, 0)),
531 (('ieq', ('ishr', 'a@32', 31), -1), ('ilt', a, 0)),
532 (('ine', ('ishr', 'a@32', 31), -1), ('ige', a, 0)),
533
534 (('fmin', a, ('fneg', a)), ('fneg', ('fabs', a))),
535 (('imin', a, ('ineg', a)), ('ineg', ('iabs', a))),
536 (('fmin', a, ('fneg', ('fabs', a))), ('fneg', ('fabs', a))),
537 (('imin', a, ('ineg', ('iabs', a))), ('ineg', ('iabs', a))),
538 (('~fmin', a, ('fabs', a)), a),
539 (('imin', a, ('iabs', a)), a),
540 (('~fmax', a, ('fneg', ('fabs', a))), a),
541 (('imax', a, ('ineg', ('iabs', a))), a),
542 (('fmax', a, ('fabs', a)), ('fabs', a)),
543 (('imax', a, ('iabs', a)), ('iabs', a)),
544 (('fmax', a, ('fneg', a)), ('fabs', a)),
545 (('imax', a, ('ineg', a)), ('iabs', a)),
546 (('~fmax', ('fabs', a), 0.0), ('fabs', a)),
547 (('~fmin', ('fmax', a, 0.0), 1.0), ('fsat', a), '!options->lower_fsat'),
548 (('~fmax', ('fmin', a, 1.0), 0.0), ('fsat', a), '!options->lower_fsat'),
549 (('~fmin', ('fmax', a, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_fsat'),
550 (('~fmax', ('fmin', a, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a))), '!options->lower_fsat'),
551 (('fsat', ('fsign', a)), ('b2f', ('flt', 0.0, a))),
552 (('fsat', ('b2f', a)), ('b2f', a)),
553 (('fsat', a), ('fmin', ('fmax', a, 0.0), 1.0), 'options->lower_fsat'),
554 (('fsat', ('fsat', a)), ('fsat', a)),
555 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a, b))), ('fsat', ('fadd', ('fneg', a), ('fneg', b))), '!options->lower_fsat'),
556 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fneg', a), b)), '!options->lower_fsat'),
557 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a, b))), ('fsat', ('fmul', ('fabs', a), ('fabs', b))), '!options->lower_fsat'),
558 (('fmin', ('fmax', ('fmin', ('fmax', a, b), c), b), c), ('fmin', ('fmax', a, b), c)),
559 (('imin', ('imax', ('imin', ('imax', a, b), c), b), c), ('imin', ('imax', a, b), c)),
560 (('umin', ('umax', ('umin', ('umax', a, b), c), b), c), ('umin', ('umax', a, b), c)),
561 (('fmax', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a, b))),
562 (('fmin', ('fsat', a), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a, b))),
563 (('extract_u8', ('imin', ('imax', a, 0), 0xff), 0), ('imin', ('imax', a, 0), 0xff)),
564 (('~ior', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmax', b, c))),
565 (('~ior', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmin', a, b), c)),
566 (('~ior', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmin', b, c))),
567 (('~ior', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmax', a, b), c)),
568 (('~ior', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmax', b, c))),
569 (('~ior', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmin', a, b), c)),
570 (('~ior', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmin', b, c))),
571 (('~ior', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmax', a, b), c)),
572 (('~iand', ('flt(is_used_once)', a, b), ('flt', a, c)), ('flt', a, ('fmin', b, c))),
573 (('~iand', ('flt(is_used_once)', a, c), ('flt', b, c)), ('flt', ('fmax', a, b), c)),
574 (('~iand', ('fge(is_used_once)', a, b), ('fge', a, c)), ('fge', a, ('fmax', b, c))),
575 (('~iand', ('fge(is_used_once)', a, c), ('fge', b, c)), ('fge', ('fmin', a, b), c)),
576 (('~iand', ('flt', a, '#b'), ('flt', a, '#c')), ('flt', a, ('fmin', b, c))),
577 (('~iand', ('flt', '#a', c), ('flt', '#b', c)), ('flt', ('fmax', a, b), c)),
578 (('~iand', ('fge', a, '#b'), ('fge', a, '#c')), ('fge', a, ('fmax', b, c))),
579 (('~iand', ('fge', '#a', c), ('fge', '#b', c)), ('fge', ('fmin', a, b), c)),
580
581 (('ior', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imax', b, c))),
582 (('ior', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imin', a, b), c)),
583 (('ior', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imin', b, c))),
584 (('ior', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imax', a, b), c)),
585 (('ior', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umax', b, c))),
586 (('ior', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umin', a, b), c)),
587 (('ior', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umin', b, c))),
588 (('ior', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umax', a, b), c)),
589 (('iand', ('ilt(is_used_once)', a, b), ('ilt', a, c)), ('ilt', a, ('imin', b, c))),
590 (('iand', ('ilt(is_used_once)', a, c), ('ilt', b, c)), ('ilt', ('imax', a, b), c)),
591 (('iand', ('ige(is_used_once)', a, b), ('ige', a, c)), ('ige', a, ('imax', b, c))),
592 (('iand', ('ige(is_used_once)', a, c), ('ige', b, c)), ('ige', ('imin', a, b), c)),
593 (('iand', ('ult(is_used_once)', a, b), ('ult', a, c)), ('ult', a, ('umin', b, c))),
594 (('iand', ('ult(is_used_once)', a, c), ('ult', b, c)), ('ult', ('umax', a, b), c)),
595 (('iand', ('uge(is_used_once)', a, b), ('uge', a, c)), ('uge', a, ('umax', b, c))),
596 (('iand', ('uge(is_used_once)', a, c), ('uge', b, c)), ('uge', ('umin', a, b), c)),
597
598 # These derive from the previous patterns with the application of b < 0 <=>
599 # 0 < -b. The transformation should be applied if either comparison is
600 # used once as this ensures that the number of comparisons will not
601 # increase. The sources to the ior and iand are not symmetric, so the
602 # rules have to be duplicated to get this behavior.
603 (('~ior', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
604 (('~ior', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a, ('fneg', b)))),
605 (('~ior', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
606 (('~ior', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a, ('fneg', b)))),
607 (('~iand', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
608 (('~iand', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a, ('fneg', b)))),
609 (('~iand', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
610 (('~iand', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a, ('fneg', b)))),
611
612 # Common pattern like 'if (i == 0 || i == 1 || ...)'
613 (('ior', ('ieq', a, 0), ('ieq', a, 1)), ('uge', 1, a)),
614 (('ior', ('uge', 1, a), ('ieq', a, 2)), ('uge', 2, a)),
615 (('ior', ('uge', 2, a), ('ieq', a, 3)), ('uge', 3, a)),
616
617 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
618 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
619 # so emit an open-coded version of that.
620 (('bcsel@32', ('feq', a, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
621 ('ior', 0x3f800000, ('iand', a, 0x80000000))),
622
623 (('ior', a, ('ieq', a, False)), True),
624 (('ior', a, ('inot', a)), -1),
625
626 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a, b)),
627 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a, b))),
628
629 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', a, b), 0), '!options->lower_bitops'),
630 (('ior', ('ine', 'a@32', 0), ('ine', 'b@32', 0)), ('ine', ('ior', a, b), 0), '!options->lower_bitops'),
631
632 # This pattern occurs coutresy of __flt64_nonnan in the soft-fp64 code.
633 # The first part of the iand comes from the !__feq64_nonnan.
634 #
635 # The second pattern is a reformulation of the first based on the relation
636 # (a == 0 || y == 0) <=> umin(a, y) == 0, where b in the first equation
637 # happens to be y == 0.
638 (('iand', ('inot', ('iand', ('ior', ('ieq', a, 0), b), c)), ('ilt', a, 0)),
639 ('iand', ('inot', ('iand', b , c)), ('ilt', a, 0))),
640 (('iand', ('inot', ('iand', ('ieq', ('umin', a, b), 0), c)), ('ilt', a, 0)),
641 ('iand', ('inot', ('iand', ('ieq', b , 0), c)), ('ilt', a, 0))),
642
643 # These patterns can result when (a < b || a < c) => (a < min(b, c))
644 # transformations occur before constant propagation and loop-unrolling.
645 (('~flt', a, ('fmax', b, a)), ('flt', a, b)),
646 (('~flt', ('fmin', a, b), a), ('flt', b, a)),
647 (('~fge', a, ('fmin', b, a)), True),
648 (('~fge', ('fmax', a, b), a), True),
649 (('~flt', a, ('fmin', b, a)), False),
650 (('~flt', ('fmax', a, b), a), False),
651 (('~fge', a, ('fmax', b, a)), ('fge', a, b)),
652 (('~fge', ('fmin', a, b), a), ('fge', b, a)),
653
654 (('ilt', a, ('imax', b, a)), ('ilt', a, b)),
655 (('ilt', ('imin', a, b), a), ('ilt', b, a)),
656 (('ige', a, ('imin', b, a)), True),
657 (('ige', ('imax', a, b), a), True),
658 (('ult', a, ('umax', b, a)), ('ult', a, b)),
659 (('ult', ('umin', a, b), a), ('ult', b, a)),
660 (('uge', a, ('umin', b, a)), True),
661 (('uge', ('umax', a, b), a), True),
662 (('ilt', a, ('imin', b, a)), False),
663 (('ilt', ('imax', a, b), a), False),
664 (('ige', a, ('imax', b, a)), ('ige', a, b)),
665 (('ige', ('imin', a, b), a), ('ige', b, a)),
666 (('ult', a, ('umin', b, a)), False),
667 (('ult', ('umax', a, b), a), False),
668 (('uge', a, ('umax', b, a)), ('uge', a, b)),
669 (('uge', ('umin', a, b), a), ('uge', b, a)),
670 (('ult', a, ('iand', b, a)), False),
671 (('ult', ('ior', a, b), a), False),
672 (('uge', a, ('iand', b, a)), True),
673 (('uge', ('ior', a, b), a), True),
674
675 (('ilt', '#a', ('imax', '#b', c)), ('ior', ('ilt', a, b), ('ilt', a, c))),
676 (('ilt', ('imin', '#a', b), '#c'), ('ior', ('ilt', a, c), ('ilt', b, c))),
677 (('ige', '#a', ('imin', '#b', c)), ('ior', ('ige', a, b), ('ige', a, c))),
678 (('ige', ('imax', '#a', b), '#c'), ('ior', ('ige', a, c), ('ige', b, c))),
679 (('ult', '#a', ('umax', '#b', c)), ('ior', ('ult', a, b), ('ult', a, c))),
680 (('ult', ('umin', '#a', b), '#c'), ('ior', ('ult', a, c), ('ult', b, c))),
681 (('uge', '#a', ('umin', '#b', c)), ('ior', ('uge', a, b), ('uge', a, c))),
682 (('uge', ('umax', '#a', b), '#c'), ('ior', ('uge', a, c), ('uge', b, c))),
683 (('ilt', '#a', ('imin', '#b', c)), ('iand', ('ilt', a, b), ('ilt', a, c))),
684 (('ilt', ('imax', '#a', b), '#c'), ('iand', ('ilt', a, c), ('ilt', b, c))),
685 (('ige', '#a', ('imax', '#b', c)), ('iand', ('ige', a, b), ('ige', a, c))),
686 (('ige', ('imin', '#a', b), '#c'), ('iand', ('ige', a, c), ('ige', b, c))),
687 (('ult', '#a', ('umin', '#b', c)), ('iand', ('ult', a, b), ('ult', a, c))),
688 (('ult', ('umax', '#a', b), '#c'), ('iand', ('ult', a, c), ('ult', b, c))),
689 (('uge', '#a', ('umax', '#b', c)), ('iand', ('uge', a, b), ('uge', a, c))),
690 (('uge', ('umin', '#a', b), '#c'), ('iand', ('uge', a, c), ('uge', b, c))),
691
692 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
693 # negative.
694 (('bcsel', ('ilt', a, 0), ('ineg', ('ishr', a, b)), ('ishr', a, b)),
695 ('iabs', ('ishr', a, b))),
696 (('iabs', ('ishr', ('iabs', a), b)), ('ishr', ('iabs', a), b)),
697
698 (('fabs', ('slt', a, b)), ('slt', a, b)),
699 (('fabs', ('sge', a, b)), ('sge', a, b)),
700 (('fabs', ('seq', a, b)), ('seq', a, b)),
701 (('fabs', ('sne', a, b)), ('sne', a, b)),
702 (('slt', a, b), ('b2f', ('flt', a, b)), 'options->lower_scmp'),
703 (('sge', a, b), ('b2f', ('fge', a, b)), 'options->lower_scmp'),
704 (('seq', a, b), ('b2f', ('feq', a, b)), 'options->lower_scmp'),
705 (('sne', a, b), ('b2f', ('fne', a, b)), 'options->lower_scmp'),
706 (('seq', ('seq', a, b), 1.0), ('seq', a, b)),
707 (('seq', ('sne', a, b), 1.0), ('sne', a, b)),
708 (('seq', ('slt', a, b), 1.0), ('slt', a, b)),
709 (('seq', ('sge', a, b), 1.0), ('sge', a, b)),
710 (('sne', ('seq', a, b), 0.0), ('seq', a, b)),
711 (('sne', ('sne', a, b), 0.0), ('sne', a, b)),
712 (('sne', ('slt', a, b), 0.0), ('slt', a, b)),
713 (('sne', ('sge', a, b), 0.0), ('sge', a, b)),
714 (('seq', ('seq', a, b), 0.0), ('sne', a, b)),
715 (('seq', ('sne', a, b), 0.0), ('seq', a, b)),
716 (('seq', ('slt', a, b), 0.0), ('sge', a, b)),
717 (('seq', ('sge', a, b), 0.0), ('slt', a, b)),
718 (('sne', ('seq', a, b), 1.0), ('sne', a, b)),
719 (('sne', ('sne', a, b), 1.0), ('seq', a, b)),
720 (('sne', ('slt', a, b), 1.0), ('sge', a, b)),
721 (('sne', ('sge', a, b), 1.0), ('slt', a, b)),
722 (('fall_equal2', a, b), ('fmin', ('seq', 'a.x', 'b.x'), ('seq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
723 (('fall_equal3', a, b), ('seq', ('fany_nequal3', a, b), 0.0), 'options->lower_vector_cmp'),
724 (('fall_equal4', a, b), ('seq', ('fany_nequal4', a, b), 0.0), 'options->lower_vector_cmp'),
725 (('fany_nequal2', a, b), ('fmax', ('sne', 'a.x', 'b.x'), ('sne', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
726 (('fany_nequal3', a, b), ('fsat', ('fdot3', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
727 (('fany_nequal4', a, b), ('fsat', ('fdot4', ('sne', a, b), ('sne', a, b))), 'options->lower_vector_cmp'),
728 (('fne', ('fneg', a), a), ('fne', a, 0.0)),
729 (('feq', ('fneg', a), a), ('feq', a, 0.0)),
730 # Emulating booleans
731 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a, b))),
732 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a, b))),
733 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a, b))),
734 (('iand', 'a@bool32', 1.0), ('b2f', a)),
735 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
736 (('ineg', ('b2i32', 'a@32')), a),
737 (('flt', ('fneg', ('b2f', 'a@1')), 0), a), # Generated by TGSI KILL_IF.
738 # Comparison with the same args. Note that these are not done for
739 # the float versions because NaN always returns false on float
740 # inequalities.
741 (('ilt', a, a), False),
742 (('ige', a, a), True),
743 (('ieq', a, a), True),
744 (('ine', a, a), False),
745 (('ult', a, a), False),
746 (('uge', a, a), True),
747 # Logical and bit operations
748 (('iand', a, a), a),
749 (('iand', a, ~0), a),
750 (('iand', a, 0), 0),
751 (('ior', a, a), a),
752 (('ior', a, 0), a),
753 (('ior', a, True), True),
754 (('ixor', a, a), 0),
755 (('ixor', a, 0), a),
756 (('inot', ('inot', a)), a),
757 (('ior', ('iand', a, b), b), b),
758 (('ior', ('ior', a, b), b), ('ior', a, b)),
759 (('iand', ('ior', a, b), b), b),
760 (('iand', ('iand', a, b), b), ('iand', a, b)),
761 # DeMorgan's Laws
762 (('iand', ('inot', a), ('inot', b)), ('inot', ('ior', a, b))),
763 (('ior', ('inot', a), ('inot', b)), ('inot', ('iand', a, b))),
764 # Shift optimizations
765 (('ishl', 0, a), 0),
766 (('ishl', a, 0), a),
767 (('ishr', 0, a), 0),
768 (('ishr', a, 0), a),
769 (('ushr', 0, a), 0),
770 (('ushr', a, 0), a),
771 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('iadd', 16, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
772 (('ior', ('ishl@16', a, b), ('ushr@16', a, ('isub', 16, b))), ('urol', a, b), '!options->lower_rotate'),
773 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('iadd', 32, ('ineg', b)))), ('urol', a, b), '!options->lower_rotate'),
774 (('ior', ('ishl@32', a, b), ('ushr@32', a, ('isub', 32, b))), ('urol', a, b), '!options->lower_rotate'),
775 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('iadd', 16, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
776 (('ior', ('ushr@16', a, b), ('ishl@16', a, ('isub', 16, b))), ('uror', a, b), '!options->lower_rotate'),
777 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('iadd', 32, ('ineg', b)))), ('uror', a, b), '!options->lower_rotate'),
778 (('ior', ('ushr@32', a, b), ('ishl@32', a, ('isub', 32, b))), ('uror', a, b), '!options->lower_rotate'),
779 (('urol@16', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 16, b))), 'options->lower_rotate'),
780 (('urol@32', a, b), ('ior', ('ishl', a, b), ('ushr', a, ('isub', 32, b))), 'options->lower_rotate'),
781 (('uror@16', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 16, b))), 'options->lower_rotate'),
782 (('uror@32', a, b), ('ior', ('ushr', a, b), ('ishl', a, ('isub', 32, b))), 'options->lower_rotate'),
783 # Exponential/logarithmic identities
784 (('~fexp2', ('flog2', a)), a), # 2^lg2(a) = a
785 (('~flog2', ('fexp2', a)), a), # lg2(2^a) = a
786 (('fpow', a, b), ('fexp2', ('fmul', ('flog2', a), b)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
787 (('~fexp2', ('fmul', ('flog2', a), b)), ('fpow', a, b), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
788 (('~fexp2', ('fadd', ('fmul', ('flog2', a), b), ('fmul', ('flog2', c), d))),
789 ('~fmul', ('fpow', a, b), ('fpow', c, d)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
790 (('~fexp2', ('fmul', ('flog2', a), 0.5)), ('fsqrt', a)),
791 (('~fexp2', ('fmul', ('flog2', a), 2.0)), ('fmul', a, a)),
792 (('~fexp2', ('fmul', ('flog2', a), 4.0)), ('fmul', ('fmul', a, a), ('fmul', a, a))),
793 (('~fpow', a, 1.0), a),
794 (('~fpow', a, 2.0), ('fmul', a, a)),
795 (('~fpow', a, 4.0), ('fmul', ('fmul', a, a), ('fmul', a, a))),
796 (('~fpow', 2.0, a), ('fexp2', a)),
797 (('~fpow', ('fpow', a, 2.2), 0.454545), a),
798 (('~fpow', ('fabs', ('fpow', a, 2.2)), 0.454545), ('fabs', a)),
799 (('~fsqrt', ('fexp2', a)), ('fexp2', ('fmul', 0.5, a))),
800 (('~frcp', ('fexp2', a)), ('fexp2', ('fneg', a))),
801 (('~frsq', ('fexp2', a)), ('fexp2', ('fmul', -0.5, a))),
802 (('~flog2', ('fsqrt', a)), ('fmul', 0.5, ('flog2', a))),
803 (('~flog2', ('frcp', a)), ('fneg', ('flog2', a))),
804 (('~flog2', ('frsq', a)), ('fmul', -0.5, ('flog2', a))),
805 (('~flog2', ('fpow', a, b)), ('fmul', b, ('flog2', a))),
806 (('~fmul', ('fexp2(is_used_once)', a), ('fexp2(is_used_once)', b)), ('fexp2', ('fadd', a, b))),
807 (('bcsel', ('flt', a, 0.0), 0.0, ('fsqrt', a)), ('fsqrt', ('fmax', a, 0.0))),
808 (('~fmul', ('fsqrt', a), ('fsqrt', a)), ('fabs',a)),
809 # Division and reciprocal
810 (('~fdiv', 1.0, a), ('frcp', a)),
811 (('fdiv', a, b), ('fmul', a, ('frcp', b)), 'options->lower_fdiv'),
812 (('~frcp', ('frcp', a)), a),
813 (('~frcp', ('fsqrt', a)), ('frsq', a)),
814 (('fsqrt', a), ('frcp', ('frsq', a)), 'options->lower_fsqrt'),
815 (('~frcp', ('frsq', a)), ('fsqrt', a), '!options->lower_fsqrt'),
816 # Trig
817 (('fsin', a), lowered_sincos(0.5), 'options->lower_sincos'),
818 (('fcos', a), lowered_sincos(0.75), 'options->lower_sincos'),
819 # Boolean simplifications
820 (('i2b32(is_used_by_if)', a), ('ine32', a, 0)),
821 (('i2b1(is_used_by_if)', a), ('ine', a, 0)),
822 (('ieq', a, True), a),
823 (('ine(is_not_used_by_if)', a, True), ('inot', a)),
824 (('ine', a, False), a),
825 (('ieq(is_not_used_by_if)', a, False), ('inot', 'a')),
826 (('bcsel', a, True, False), a),
827 (('bcsel', a, False, True), ('inot', a)),
828 (('bcsel@32', a, 1.0, 0.0), ('b2f', a)),
829 (('bcsel@32', a, 0.0, 1.0), ('b2f', ('inot', a))),
830 (('bcsel@32', a, -1.0, -0.0), ('fneg', ('b2f', a))),
831 (('bcsel@32', a, -0.0, -1.0), ('fneg', ('b2f', ('inot', a)))),
832 (('bcsel', True, b, c), b),
833 (('bcsel', False, b, c), c),
834 (('bcsel', a, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a, b, c))),
835
836 (('bcsel', a, b, b), b),
837 (('~fcsel', a, b, b), b),
838
839 # D3D Boolean emulation
840 (('bcsel', a, -1, 0), ('ineg', ('b2i', 'a@1'))),
841 (('bcsel', a, 0, -1), ('ineg', ('b2i', ('inot', a)))),
842 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
843 ('ineg', ('b2i', ('iand', a, b)))),
844 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
845 ('ineg', ('b2i', ('ior', a, b)))),
846 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a)),
847 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a),
848 (('ine', ('ineg', ('b2i', 'a@1')), 0), a),
849 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a)),
850 (('iand', ('ineg', ('b2i', a)), 1.0), ('b2f', a)),
851 (('iand', ('ineg', ('b2i', a)), 1), ('b2i', a)),
852
853 # SM5 32-bit shifts are defined to use the 5 least significant bits
854 (('ishl', 'a@32', ('iand', 31, b)), ('ishl', a, b)),
855 (('ishr', 'a@32', ('iand', 31, b)), ('ishr', a, b)),
856 (('ushr', 'a@32', ('iand', 31, b)), ('ushr', a, b)),
857
858 # Conversions
859 (('i2b32', ('b2i', 'a@32')), a),
860 (('f2i', ('ftrunc', a)), ('f2i', a)),
861 (('f2u', ('ftrunc', a)), ('f2u', a)),
862 (('i2b', ('ineg', a)), ('i2b', a)),
863 (('i2b', ('iabs', a)), ('i2b', a)),
864 (('inot', ('f2b1', a)), ('feq', a, 0.0)),
865
866 # The C spec says, "If the value of the integral part cannot be represented
867 # by the integer type, the behavior is undefined." "Undefined" can mean
868 # "the conversion doesn't happen at all."
869 (('~i2f32', ('f2i32', 'a@32')), ('ftrunc', a)),
870
871 # Ironically, mark these as imprecise because removing the conversions may
872 # preserve more precision than doing the conversions (e.g.,
873 # uint(float(0x81818181u)) == 0x81818200).
874 (('~f2i32', ('i2f', 'a@32')), a),
875 (('~f2i32', ('u2f', 'a@32')), a),
876 (('~f2u32', ('i2f', 'a@32')), a),
877 (('~f2u32', ('u2f', 'a@32')), a),
878
879 # Conversions from float16 to float32 and back can always be removed
880 (('f2f16', ('f2f32', 'a@16')), a),
881 (('f2fmp', ('f2f32', 'a@16')), a),
882 # Conversions to float16 would be lossy so they should only be removed if
883 # the instruction was generated by the precision lowering pass.
884 (('f2f32', ('f2fmp', 'a@32')), a),
885
886 (('ffloor', 'a(is_integral)'), a),
887 (('fceil', 'a(is_integral)'), a),
888 (('ftrunc', 'a(is_integral)'), a),
889 # fract(x) = x - floor(x), so fract(NaN) = NaN
890 (('~ffract', 'a(is_integral)'), 0.0),
891 (('fabs', 'a(is_not_negative)'), a),
892 (('iabs', 'a(is_not_negative)'), a),
893 (('fsat', 'a(is_not_positive)'), 0.0),
894
895 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
896 # says:
897 #
898 # It is undefined to convert a negative floating-point value to an
899 # uint.
900 #
901 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
902 # some optimizations in the i965 backend to proceed.
903 (('ige', ('f2u', a), b), ('ige', ('f2i', a), b)),
904 (('ige', b, ('f2u', a)), ('ige', b, ('f2i', a))),
905 (('ilt', ('f2u', a), b), ('ilt', ('f2i', a), b)),
906 (('ilt', b, ('f2u', a)), ('ilt', b, ('f2i', a))),
907
908 (('~fmin', 'a(is_not_negative)', 1.0), ('fsat', a), '!options->lower_fsat'),
909
910 # The result of the multiply must be in [-1, 0], so the result of the ffma
911 # must be in [0, 1].
912 (('flt', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), False),
913 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), False),
914 (('fmax', ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a), ('fneg', ('fsat', a))), 1.0)),
915 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a), ('fsat', a))), 1.0)),
916
917 (('fne', 'a(is_not_zero)', 0.0), True),
918 (('feq', 'a(is_not_zero)', 0.0), False),
919
920 # In this chart, + means value > 0 and - means value < 0.
921 #
922 # + >= + -> unknown 0 >= + -> false - >= + -> false
923 # + >= 0 -> true 0 >= 0 -> true - >= 0 -> false
924 # + >= - -> true 0 >= - -> true - >= - -> unknown
925 #
926 # Using grouping conceptually similar to a Karnaugh map...
927 #
928 # (+ >= 0, + >= -, 0 >= 0, 0 >= -) == (is_not_negative >= is_not_positive) -> true
929 # (0 >= +, - >= +) == (is_not_positive >= gt_zero) -> false
930 # (- >= +, - >= 0) == (lt_zero >= is_not_negative) -> false
931 #
932 # The flt / ilt cases just invert the expected result.
933 #
934 # The results expecting true, must be marked imprecise. The results
935 # expecting false are fine because NaN compared >= or < anything is false.
936
937 (('~fge', 'a(is_not_negative)', 'b(is_not_positive)'), True),
938 (('fge', 'a(is_not_positive)', 'b(is_gt_zero)'), False),
939 (('fge', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
940
941 (('flt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
942 (('~flt', 'a(is_not_positive)', 'b(is_gt_zero)'), True),
943 (('~flt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
944
945 (('ine', 'a(is_not_zero)', 0), True),
946 (('ieq', 'a(is_not_zero)', 0), False),
947
948 (('ige', 'a(is_not_negative)', 'b(is_not_positive)'), True),
949 (('ige', 'a(is_not_positive)', 'b(is_gt_zero)'), False),
950 (('ige', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
951
952 (('ilt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
953 (('ilt', 'a(is_not_positive)', 'b(is_gt_zero)'), True),
954 (('ilt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
955
956 (('ult', 0, 'a(is_gt_zero)'), True),
957 (('ult', a, 0), False),
958
959 # Packing and then unpacking does nothing
960 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a, b)), a),
961 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a, b)), b),
962 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a),
963 ('unpack_64_2x32_split_y', a)), a),
964
965 # Comparing two halves of an unpack separately. While this optimization
966 # should be correct for non-constant values, it's less obvious that it's
967 # useful in that case. For constant values, the pack will fold and we're
968 # guaranteed to reduce the whole tree to one instruction.
969 (('iand', ('ieq', ('unpack_32_2x16_split_x', a), '#b'),
970 ('ieq', ('unpack_32_2x16_split_y', a), '#c')),
971 ('ieq', a, ('pack_32_2x16_split', b, c))),
972
973 # Byte extraction
974 (('ushr', 'a@16', 8), ('extract_u8', a, 1), '!options->lower_extract_byte'),
975 (('ushr', 'a@32', 24), ('extract_u8', a, 3), '!options->lower_extract_byte'),
976 (('ushr', 'a@64', 56), ('extract_u8', a, 7), '!options->lower_extract_byte'),
977 (('ishr', 'a@16', 8), ('extract_i8', a, 1), '!options->lower_extract_byte'),
978 (('ishr', 'a@32', 24), ('extract_i8', a, 3), '!options->lower_extract_byte'),
979 (('ishr', 'a@64', 56), ('extract_i8', a, 7), '!options->lower_extract_byte'),
980 (('iand', 0xff, a), ('extract_u8', a, 0), '!options->lower_extract_byte'),
981
982 # Useless masking before unpacking
983 (('unpack_half_2x16_split_x', ('iand', a, 0xffff)), ('unpack_half_2x16_split_x', a)),
984 (('unpack_32_2x16_split_x', ('iand', a, 0xffff)), ('unpack_32_2x16_split_x', a)),
985 (('unpack_64_2x32_split_x', ('iand', a, 0xffffffff)), ('unpack_64_2x32_split_x', a)),
986 (('unpack_half_2x16_split_y', ('iand', a, 0xffff0000)), ('unpack_half_2x16_split_y', a)),
987 (('unpack_32_2x16_split_y', ('iand', a, 0xffff0000)), ('unpack_32_2x16_split_y', a)),
988 (('unpack_64_2x32_split_y', ('iand', a, 0xffffffff00000000)), ('unpack_64_2x32_split_y', a)),
989
990 # Optimize half packing
991 (('ishl', ('pack_half_2x16', ('vec2', a, 0)), 16), ('pack_half_2x16', ('vec2', 0, a))),
992 (('ishr', ('pack_half_2x16', ('vec2', 0, a)), 16), ('pack_half_2x16', ('vec2', a, 0))),
993
994 (('iadd', ('pack_half_2x16', ('vec2', a, 0)), ('pack_half_2x16', ('vec2', 0, b))),
995 ('pack_half_2x16', ('vec2', a, b))),
996 (('ior', ('pack_half_2x16', ('vec2', a, 0)), ('pack_half_2x16', ('vec2', 0, b))),
997 ('pack_half_2x16', ('vec2', a, b))),
998 ])
999
1000 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
1001 # patterns like those below.
1002 for op in ('ushr', 'ishr'):
1003 optimizations.extend([(('extract_u8', (op, 'a@16', 8), 0), ('extract_u8', a, 1))])
1004 optimizations.extend([(('extract_u8', (op, 'a@32', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 4)])
1005 optimizations.extend([(('extract_u8', (op, 'a@64', 8 * i), 0), ('extract_u8', a, i)) for i in range(1, 8)])
1006
1007 optimizations.extend([(('extract_u8', ('extract_u16', a, 1), 0), ('extract_u8', a, 2))])
1008
1009 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
1010 # patterns like those below.
1011 for op in ('extract_u8', 'extract_i8'):
1012 optimizations.extend([((op, ('ishl', 'a@16', 8), 1), (op, a, 0))])
1013 optimizations.extend([((op, ('ishl', 'a@32', 24 - 8 * i), 3), (op, a, i)) for i in range(2, -1, -1)])
1014 optimizations.extend([((op, ('ishl', 'a@64', 56 - 8 * i), 7), (op, a, i)) for i in range(6, -1, -1)])
1015
1016 optimizations.extend([
1017 # Word extraction
1018 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a, 0), '!options->lower_extract_word'),
1019 (('ushr', 'a@32', 16), ('extract_u16', a, 1), '!options->lower_extract_word'),
1020 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a, 0), '!options->lower_extract_word'),
1021 (('ishr', 'a@32', 16), ('extract_i16', a, 1), '!options->lower_extract_word'),
1022 (('iand', 0xffff, a), ('extract_u16', a, 0), '!options->lower_extract_word'),
1023
1024 # Subtracts
1025 (('ussub_4x8', a, 0), a),
1026 (('ussub_4x8', a, ~0), 0),
1027 # Lower all Subtractions first - they can get recombined later
1028 (('fsub', a, b), ('fadd', a, ('fneg', b))),
1029 (('isub', a, b), ('iadd', a, ('ineg', b))),
1030 (('uabs_usub', a, b), ('bcsel', ('ult', a, b), ('ineg', ('isub', a, b)), ('isub', a, b))),
1031 # This is correct. We don't need isub_sat because the result type is unsigned, so it cannot overflow.
1032 (('uabs_isub', a, b), ('bcsel', ('ilt', a, b), ('ineg', ('isub', a, b)), ('isub', a, b))),
1033
1034 # Propagate negation up multiplication chains
1035 (('fmul(is_used_by_non_fsat)', ('fneg', a), b), ('fneg', ('fmul', a, b))),
1036 (('imul', ('ineg', a), b), ('ineg', ('imul', a, b))),
1037
1038 # Propagate constants up multiplication chains
1039 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a, c), b)),
1040 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a, c), b)),
1041 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a, c), b)),
1042 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a, c), b)),
1043
1044 # Reassociate constants in add/mul chains so they can be folded together.
1045 # For now, we mostly only handle cases where the constants are separated by
1046 # a single non-constant. We could do better eventually.
1047 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a, c), b)),
1048 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a, c), b)),
1049 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a, c), b)),
1050 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a, ('fneg', c)), ('fneg', b))),
1051 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a, c), b)),
1052 (('iand', '#a', ('iand', 'b(is_not_const)', '#c')), ('iand', ('iand', a, c), b)),
1053 (('ior', '#a', ('ior', 'b(is_not_const)', '#c')), ('ior', ('ior', a, c), b)),
1054 (('ixor', '#a', ('ixor', 'b(is_not_const)', '#c')), ('ixor', ('ixor', a, c), b)),
1055
1056 # Drop mul-div by the same value when there's no wrapping.
1057 (('idiv', ('imul(no_signed_wrap)', a, b), b), a),
1058
1059 # By definition...
1060 (('bcsel', ('ige', ('find_lsb', a), 0), ('find_lsb', a), -1), ('find_lsb', a)),
1061 (('bcsel', ('ige', ('ifind_msb', a), 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
1062 (('bcsel', ('ige', ('ufind_msb', a), 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
1063
1064 (('bcsel', ('ine', a, 0), ('find_lsb', a), -1), ('find_lsb', a)),
1065 (('bcsel', ('ine', a, 0), ('ifind_msb', a), -1), ('ifind_msb', a)),
1066 (('bcsel', ('ine', a, 0), ('ufind_msb', a), -1), ('ufind_msb', a)),
1067
1068 (('bcsel', ('ine', a, -1), ('ifind_msb', a), -1), ('ifind_msb', a)),
1069
1070 # Misc. lowering
1071 (('fmod', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),
1072 (('frem', a, b), ('fsub', a, ('fmul', b, ('ftrunc', ('fdiv', a, b)))), 'options->lower_fmod'),
1073 (('uadd_carry@32', a, b), ('b2i', ('ult', ('iadd', a, b), a)), 'options->lower_uadd_carry'),
1074 (('usub_borrow@32', a, b), ('b2i', ('ult', a, b)), 'options->lower_usub_borrow'),
1075
1076 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1077 ('bcsel', ('ult', 31, 'bits'), 'insert',
1078 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
1079 'options->lower_bitfield_insert'),
1080 (('ihadd', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
1081 (('uhadd', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
1082 (('irhadd', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd'),
1083 (('urhadd', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd'),
1084 (('ihadd@64', a, b), ('iadd', ('iand', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1085 (('uhadd@64', a, b), ('iadd', ('iand', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1086 (('irhadd@64', a, b), ('isub', ('ior', a, b), ('ishr', ('ixor', a, b), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1087 (('urhadd@64', a, b), ('isub', ('ior', a, b), ('ushr', ('ixor', a, b), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1088
1089 (('uadd_sat@64', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1090 (('uadd_sat', a, b), ('bcsel', ('ult', ('iadd', a, b), a), -1, ('iadd', a, b)), 'options->lower_add_sat'),
1091 (('usub_sat', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_add_sat'),
1092 (('usub_sat@64', a, b), ('bcsel', ('ult', a, b), 0, ('isub', a, b)), 'options->lower_usub_sat64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1093
1094 # int64_t sum = a + b;
1095 #
1096 # if (a < 0 && b < 0 && a < sum)
1097 # sum = INT64_MIN;
1098 # } else if (a >= 0 && b >= 0 && sum < a)
1099 # sum = INT64_MAX;
1100 # }
1101 #
1102 # A couple optimizations are applied.
1103 #
1104 # 1. a < sum => sum >= 0. This replacement works because it is known that
1105 # a < 0 and b < 0, so sum should also be < 0 unless there was
1106 # underflow.
1107 #
1108 # 2. sum < a => sum < 0. This replacement works because it is known that
1109 # a >= 0 and b >= 0, so sum should also be >= 0 unless there was
1110 # overflow.
1111 #
1112 # 3. Invert the second if-condition and swap the order of parameters for
1113 # the bcsel. !(a >= 0 && b >= 0 && sum < 0) becomes !(a >= 0) || !(b >=
1114 # 0) || !(sum < 0), and that becomes (a < 0) || (b < 0) || (sum >= 0)
1115 #
1116 # On Intel Gen11, this saves ~11 instructions.
1117 (('iadd_sat@64', a, b), ('bcsel',
1118 ('iand', ('iand', ('ilt', a, 0), ('ilt', b, 0)), ('ige', ('iadd', a, b), 0)),
1119 0x8000000000000000,
1120 ('bcsel',
1121 ('ior', ('ior', ('ilt', a, 0), ('ilt', b, 0)), ('ige', ('iadd', a, b), 0)),
1122 ('iadd', a, b),
1123 0x7fffffffffffffff)),
1124 '(options->lower_int64_options & nir_lower_iadd64) != 0'),
1125
1126 # int64_t sum = a - b;
1127 #
1128 # if (a < 0 && b >= 0 && a < sum)
1129 # sum = INT64_MIN;
1130 # } else if (a >= 0 && b < 0 && a >= sum)
1131 # sum = INT64_MAX;
1132 # }
1133 #
1134 # Optimizations similar to the iadd_sat case are applied here.
1135 (('isub_sat@64', a, b), ('bcsel',
1136 ('iand', ('iand', ('ilt', a, 0), ('ige', b, 0)), ('ige', ('isub', a, b), 0)),
1137 0x8000000000000000,
1138 ('bcsel',
1139 ('ior', ('ior', ('ilt', a, 0), ('ige', b, 0)), ('ige', ('isub', a, b), 0)),
1140 ('isub', a, b),
1141 0x7fffffffffffffff)),
1142 '(options->lower_int64_options & nir_lower_iadd64) != 0'),
1143
1144 # These are done here instead of in the backend because the int64 lowering
1145 # pass will make a mess of the patterns. The first patterns are
1146 # conditioned on nir_lower_minmax64 because it was not clear that it was
1147 # always an improvement on platforms that have real int64 support. No
1148 # shaders in shader-db hit this, so it was hard to say one way or the
1149 # other.
1150 (('ilt', ('imax(is_used_once)', 'a@64', 'b@64'), 0), ('ilt', ('imax', ('unpack_64_2x32_split_y', a), ('unpack_64_2x32_split_y', b)), 0), '(options->lower_int64_options & nir_lower_minmax64) != 0'),
1151 (('ilt', ('imin(is_used_once)', 'a@64', 'b@64'), 0), ('ilt', ('imin', ('unpack_64_2x32_split_y', a), ('unpack_64_2x32_split_y', b)), 0), '(options->lower_int64_options & nir_lower_minmax64) != 0'),
1152 (('ige', ('imax(is_used_once)', 'a@64', 'b@64'), 0), ('ige', ('imax', ('unpack_64_2x32_split_y', a), ('unpack_64_2x32_split_y', b)), 0), '(options->lower_int64_options & nir_lower_minmax64) != 0'),
1153 (('ige', ('imin(is_used_once)', 'a@64', 'b@64'), 0), ('ige', ('imin', ('unpack_64_2x32_split_y', a), ('unpack_64_2x32_split_y', b)), 0), '(options->lower_int64_options & nir_lower_minmax64) != 0'),
1154 (('ilt', 'a@64', 0), ('ilt', ('unpack_64_2x32_split_y', a), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1155 (('ige', 'a@64', 0), ('ige', ('unpack_64_2x32_split_y', a), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1156
1157 (('ine', 'a@64', 0), ('ine', ('ior', ('unpack_64_2x32_split_x', a), ('unpack_64_2x32_split_y', a)), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1158 (('ieq', 'a@64', 0), ('ieq', ('ior', ('unpack_64_2x32_split_x', a), ('unpack_64_2x32_split_y', a)), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1159 # 0u < uint(a) <=> uint(a) != 0u
1160 (('ult', 0, 'a@64'), ('ine', ('ior', ('unpack_64_2x32_split_x', a), ('unpack_64_2x32_split_y', a)), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1161
1162 # Alternative lowering that doesn't rely on bfi.
1163 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1164 ('bcsel', ('ult', 31, 'bits'),
1165 'insert',
1166 (('ior',
1167 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
1168 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))))),
1169 'options->lower_bitfield_insert_to_shifts'),
1170
1171 # Alternative lowering that uses bitfield_select.
1172 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1173 ('bcsel', ('ult', 31, 'bits'), 'insert',
1174 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
1175 'options->lower_bitfield_insert_to_bitfield_select'),
1176
1177 (('ibitfield_extract', 'value', 'offset', 'bits'),
1178 ('bcsel', ('ult', 31, 'bits'), 'value',
1179 ('ibfe', 'value', 'offset', 'bits')),
1180 'options->lower_bitfield_extract'),
1181
1182 (('ubitfield_extract', 'value', 'offset', 'bits'),
1183 ('bcsel', ('ult', 31, 'bits'), 'value',
1184 ('ubfe', 'value', 'offset', 'bits')),
1185 'options->lower_bitfield_extract'),
1186
1187 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
1188 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
1189 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
1190 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
1191 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
1192 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
1193 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
1194
1195 (('ibitfield_extract', 'value', 'offset', 'bits'),
1196 ('bcsel', ('ieq', 0, 'bits'),
1197 0,
1198 ('ishr',
1199 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
1200 ('isub', 32, 'bits'))),
1201 'options->lower_bitfield_extract_to_shifts'),
1202
1203 (('ubitfield_extract', 'value', 'offset', 'bits'),
1204 ('iand',
1205 ('ushr', 'value', 'offset'),
1206 ('bcsel', ('ieq', 'bits', 32),
1207 0xffffffff,
1208 ('isub', ('ishl', 1, 'bits'), 1))),
1209 'options->lower_bitfield_extract_to_shifts'),
1210
1211 (('ifind_msb', 'value'),
1212 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
1213 'options->lower_ifind_msb'),
1214
1215 (('find_lsb', 'value'),
1216 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
1217 'options->lower_find_lsb'),
1218
1219 (('extract_i8', a, 'b@32'),
1220 ('ishr', ('ishl', a, ('imul', ('isub', 3, b), 8)), 24),
1221 'options->lower_extract_byte'),
1222
1223 (('extract_u8', a, 'b@32'),
1224 ('iand', ('ushr', a, ('imul', b, 8)), 0xff),
1225 'options->lower_extract_byte'),
1226
1227 (('extract_i16', a, 'b@32'),
1228 ('ishr', ('ishl', a, ('imul', ('isub', 1, b), 16)), 16),
1229 'options->lower_extract_word'),
1230
1231 (('extract_u16', a, 'b@32'),
1232 ('iand', ('ushr', a, ('imul', b, 16)), 0xffff),
1233 'options->lower_extract_word'),
1234
1235 (('pack_unorm_2x16', 'v'),
1236 ('pack_uvec2_to_uint',
1237 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
1238 'options->lower_pack_unorm_2x16'),
1239
1240 (('pack_unorm_4x8', 'v'),
1241 ('pack_uvec4_to_uint',
1242 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
1243 'options->lower_pack_unorm_4x8'),
1244
1245 (('pack_snorm_2x16', 'v'),
1246 ('pack_uvec2_to_uint',
1247 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
1248 'options->lower_pack_snorm_2x16'),
1249
1250 (('pack_snorm_4x8', 'v'),
1251 ('pack_uvec4_to_uint',
1252 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
1253 'options->lower_pack_snorm_4x8'),
1254
1255 (('unpack_unorm_2x16', 'v'),
1256 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
1257 ('extract_u16', 'v', 1))),
1258 65535.0),
1259 'options->lower_unpack_unorm_2x16'),
1260
1261 (('unpack_unorm_4x8', 'v'),
1262 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
1263 ('extract_u8', 'v', 1),
1264 ('extract_u8', 'v', 2),
1265 ('extract_u8', 'v', 3))),
1266 255.0),
1267 'options->lower_unpack_unorm_4x8'),
1268
1269 (('unpack_snorm_2x16', 'v'),
1270 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
1271 ('extract_i16', 'v', 1))),
1272 32767.0))),
1273 'options->lower_unpack_snorm_2x16'),
1274
1275 (('unpack_snorm_4x8', 'v'),
1276 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
1277 ('extract_i8', 'v', 1),
1278 ('extract_i8', 'v', 2),
1279 ('extract_i8', 'v', 3))),
1280 127.0))),
1281 'options->lower_unpack_snorm_4x8'),
1282
1283 (('pack_half_2x16_split', 'a@32', 'b@32'),
1284 ('ior', ('ishl', ('u2u32', ('f2f16', b)), 16), ('u2u32', ('f2f16', a))),
1285 'options->lower_pack_half_2x16_split'),
1286
1287 (('unpack_half_2x16_split_x', 'a@32'),
1288 ('f2f32', ('u2u16', a)),
1289 'options->lower_unpack_half_2x16_split'),
1290
1291 (('unpack_half_2x16_split_y', 'a@32'),
1292 ('f2f32', ('u2u16', ('ushr', a, 16))),
1293 'options->lower_unpack_half_2x16_split'),
1294
1295 (('isign', a), ('imin', ('imax', a, -1), 1), 'options->lower_isign'),
1296 (('fsign', a), ('fsub', ('b2f', ('flt', 0.0, a)), ('b2f', ('flt', a, 0.0))), 'options->lower_fsign'),
1297
1298 # Address/offset calculations:
1299 # Drivers supporting imul24 should use the nir_lower_amul() pass, this
1300 # rule converts everyone else to imul:
1301 (('amul', a, b), ('imul', a, b), '!options->has_imul24'),
1302
1303 (('imad24_ir3', a, b, 0), ('imul24', a, b)),
1304 (('imad24_ir3', a, 0, c), (c)),
1305 (('imad24_ir3', a, 1, c), ('iadd', a, c)),
1306
1307 # if first two srcs are const, crack apart the imad so constant folding
1308 # can clean up the imul:
1309 # TODO ffma should probably get a similar rule:
1310 (('imad24_ir3', '#a', '#b', c), ('iadd', ('imul', a, b), c)),
1311
1312 # These will turn 24b address/offset calc back into 32b shifts, but
1313 # it should be safe to get back some of the bits of precision that we
1314 # already decided were no necessary:
1315 (('imul24', a, '#b@32(is_pos_power_of_two)'), ('ishl', a, ('find_lsb', b)), '!options->lower_bitops'),
1316 (('imul24', a, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a, ('find_lsb', ('iabs', b)))), '!options->lower_bitops'),
1317 (('imul24', a, 0), (0)),
1318 ])
1319
1320 # bit_size dependent lowerings
1321 for bit_size in [8, 16, 32, 64]:
1322 # convenience constants
1323 intmax = (1 << (bit_size - 1)) - 1
1324 intmin = 1 << (bit_size - 1)
1325
1326 optimizations += [
1327 (('iadd_sat@' + str(bit_size), a, b),
1328 ('bcsel', ('ige', b, 1), ('bcsel', ('ilt', ('iadd', a, b), a), intmax, ('iadd', a, b)),
1329 ('bcsel', ('ilt', a, ('iadd', a, b)), intmin, ('iadd', a, b))), 'options->lower_add_sat'),
1330 (('isub_sat@' + str(bit_size), a, b),
1331 ('bcsel', ('ilt', b, 0), ('bcsel', ('ilt', ('isub', a, b), a), intmax, ('isub', a, b)),
1332 ('bcsel', ('ilt', a, ('isub', a, b)), intmin, ('isub', a, b))), 'options->lower_add_sat'),
1333 ]
1334
1335 invert = OrderedDict([('feq', 'fne'), ('fne', 'feq')])
1336
1337 for left, right in itertools.combinations_with_replacement(invert.keys(), 2):
1338 optimizations.append((('inot', ('ior(is_used_once)', (left, a, b), (right, c, d))),
1339 ('iand', (invert[left], a, b), (invert[right], c, d))))
1340 optimizations.append((('inot', ('iand(is_used_once)', (left, a, b), (right, c, d))),
1341 ('ior', (invert[left], a, b), (invert[right], c, d))))
1342
1343 # Optimize x2bN(b2x(x)) -> x
1344 for size in type_sizes('bool'):
1345 aN = 'a@' + str(size)
1346 f2bN = 'f2b' + str(size)
1347 i2bN = 'i2b' + str(size)
1348 optimizations.append(((f2bN, ('b2f', aN)), a))
1349 optimizations.append(((i2bN, ('b2i', aN)), a))
1350
1351 # Optimize x2yN(b2x(x)) -> b2y
1352 for x, y in itertools.product(['f', 'u', 'i'], ['f', 'u', 'i']):
1353 if x != 'f' and y != 'f' and x != y:
1354 continue
1355
1356 b2x = 'b2f' if x == 'f' else 'b2i'
1357 b2y = 'b2f' if y == 'f' else 'b2i'
1358 x2yN = '{}2{}'.format(x, y)
1359 optimizations.append(((x2yN, (b2x, a)), (b2y, a)))
1360
1361 # Optimize away x2xN(a@N)
1362 for t in ['int', 'uint', 'float', 'bool']:
1363 for N in type_sizes(t):
1364 x2xN = '{0}2{0}{1}'.format(t[0], N)
1365 aN = 'a@{0}'.format(N)
1366 optimizations.append(((x2xN, aN), a))
1367
1368 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
1369 # In particular, we can optimize away everything except upcast of downcast and
1370 # upcasts where the type differs from the other cast
1371 for N, M in itertools.product(type_sizes('uint'), type_sizes('uint')):
1372 if N < M:
1373 # The outer cast is a down-cast. It doesn't matter what the size of the
1374 # argument of the inner cast is because we'll never been in the upcast
1375 # of downcast case. Regardless of types, we'll always end up with y2yN
1376 # in the end.
1377 for x, y in itertools.product(['i', 'u'], ['i', 'u']):
1378 x2xN = '{0}2{0}{1}'.format(x, N)
1379 y2yM = '{0}2{0}{1}'.format(y, M)
1380 y2yN = '{0}2{0}{1}'.format(y, N)
1381 optimizations.append(((x2xN, (y2yM, a)), (y2yN, a)))
1382 elif N > M:
1383 # If the outer cast is an up-cast, we have to be more careful about the
1384 # size of the argument of the inner cast and with types. In this case,
1385 # the type is always the type of type up-cast which is given by the
1386 # outer cast.
1387 for P in type_sizes('uint'):
1388 # We can't optimize away up-cast of down-cast.
1389 if M < P:
1390 continue
1391
1392 # Because we're doing down-cast of down-cast, the types always have
1393 # to match between the two casts
1394 for x in ['i', 'u']:
1395 x2xN = '{0}2{0}{1}'.format(x, N)
1396 x2xM = '{0}2{0}{1}'.format(x, M)
1397 aP = 'a@{0}'.format(P)
1398 optimizations.append(((x2xN, (x2xM, aP)), (x2xN, a)))
1399 else:
1400 # The N == M case is handled by other optimizations
1401 pass
1402
1403 # Optimize comparisons with up-casts
1404 for t in ['int', 'uint', 'float']:
1405 for N, M in itertools.product(type_sizes(t), repeat=2):
1406 if N == 1 or N >= M:
1407 continue
1408
1409 x2xM = '{0}2{0}{1}'.format(t[0], M)
1410 x2xN = '{0}2{0}{1}'.format(t[0], N)
1411 aN = 'a@' + str(N)
1412 bN = 'b@' + str(N)
1413 xeq = 'feq' if t == 'float' else 'ieq'
1414 xne = 'fne' if t == 'float' else 'ine'
1415 xge = '{0}ge'.format(t[0])
1416 xlt = '{0}lt'.format(t[0])
1417
1418 # Up-casts are lossless so for correctly signed comparisons of
1419 # up-casted values we can do the comparison at the largest of the two
1420 # original sizes and drop one or both of the casts. (We have
1421 # optimizations to drop the no-op casts which this may generate.)
1422 for P in type_sizes(t):
1423 if P == 1 or P > N:
1424 continue
1425
1426 bP = 'b@' + str(P)
1427 optimizations += [
1428 ((xeq, (x2xM, aN), (x2xM, bP)), (xeq, a, (x2xN, b))),
1429 ((xne, (x2xM, aN), (x2xM, bP)), (xne, a, (x2xN, b))),
1430 ((xge, (x2xM, aN), (x2xM, bP)), (xge, a, (x2xN, b))),
1431 ((xlt, (x2xM, aN), (x2xM, bP)), (xlt, a, (x2xN, b))),
1432 ((xge, (x2xM, bP), (x2xM, aN)), (xge, (x2xN, b), a)),
1433 ((xlt, (x2xM, bP), (x2xM, aN)), (xlt, (x2xN, b), a)),
1434 ]
1435
1436 # The next bit doesn't work on floats because the range checks would
1437 # get way too complicated.
1438 if t in ['int', 'uint']:
1439 if t == 'int':
1440 xN_min = -(1 << (N - 1))
1441 xN_max = (1 << (N - 1)) - 1
1442 elif t == 'uint':
1443 xN_min = 0
1444 xN_max = (1 << N) - 1
1445 else:
1446 assert False
1447
1448 # If we're up-casting and comparing to a constant, we can unfold
1449 # the comparison into a comparison with the shrunk down constant
1450 # and a check that the constant fits in the smaller bit size.
1451 optimizations += [
1452 ((xeq, (x2xM, aN), '#b'),
1453 ('iand', (xeq, a, (x2xN, b)), (xeq, (x2xM, (x2xN, b)), b))),
1454 ((xne, (x2xM, aN), '#b'),
1455 ('ior', (xne, a, (x2xN, b)), (xne, (x2xM, (x2xN, b)), b))),
1456 ((xlt, (x2xM, aN), '#b'),
1457 ('iand', (xlt, xN_min, b),
1458 ('ior', (xlt, xN_max, b), (xlt, a, (x2xN, b))))),
1459 ((xlt, '#a', (x2xM, bN)),
1460 ('iand', (xlt, a, xN_max),
1461 ('ior', (xlt, a, xN_min), (xlt, (x2xN, a), b)))),
1462 ((xge, (x2xM, aN), '#b'),
1463 ('iand', (xge, xN_max, b),
1464 ('ior', (xge, xN_min, b), (xge, a, (x2xN, b))))),
1465 ((xge, '#a', (x2xM, bN)),
1466 ('iand', (xge, a, xN_min),
1467 ('ior', (xge, a, xN_max), (xge, (x2xN, a), b)))),
1468 ]
1469
1470 def fexp2i(exp, bits):
1471 # Generate an expression which constructs value 2.0^exp or 0.0.
1472 #
1473 # We assume that exp is already in a valid range:
1474 #
1475 # * [-15, 15] for 16-bit float
1476 # * [-127, 127] for 32-bit float
1477 # * [-1023, 1023] for 16-bit float
1478 #
1479 # If exp is the lowest value in the valid range, a value of 0.0 is
1480 # constructed. Otherwise, the value 2.0^exp is constructed.
1481 if bits == 16:
1482 return ('i2i16', ('ishl', ('iadd', exp, 15), 10))
1483 elif bits == 32:
1484 return ('ishl', ('iadd', exp, 127), 23)
1485 elif bits == 64:
1486 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp, 1023), 20))
1487 else:
1488 assert False
1489
1490 def ldexp(f, exp, bits):
1491 # The maximum possible range for a normal exponent is [-126, 127] and,
1492 # throwing in denormals, you get a maximum range of [-149, 127]. This
1493 # means that we can potentially have a swing of +-276. If you start with
1494 # FLT_MAX, you actually have to do ldexp(FLT_MAX, -278) to get it to flush
1495 # all the way to zero. The GLSL spec only requires that we handle a subset
1496 # of this range. From version 4.60 of the spec:
1497 #
1498 # "If exp is greater than +128 (single-precision) or +1024
1499 # (double-precision), the value returned is undefined. If exp is less
1500 # than -126 (single-precision) or -1022 (double-precision), the value
1501 # returned may be flushed to zero. Additionally, splitting the value
1502 # into a significand and exponent using frexp() and then reconstructing
1503 # a floating-point value using ldexp() should yield the original input
1504 # for zero and all finite non-denormalized values."
1505 #
1506 # The SPIR-V spec has similar language.
1507 #
1508 # In order to handle the maximum value +128 using the fexp2i() helper
1509 # above, we have to split the exponent in half and do two multiply
1510 # operations.
1511 #
1512 # First, we clamp exp to a reasonable range. Specifically, we clamp to
1513 # twice the full range that is valid for the fexp2i() function above. If
1514 # exp/2 is the bottom value of that range, the fexp2i() expression will
1515 # yield 0.0f which, when multiplied by f, will flush it to zero which is
1516 # allowed by the GLSL and SPIR-V specs for low exponent values. If the
1517 # value is clamped from above, then it must have been above the supported
1518 # range of the GLSL built-in and therefore any return value is acceptable.
1519 if bits == 16:
1520 exp = ('imin', ('imax', exp, -30), 30)
1521 elif bits == 32:
1522 exp = ('imin', ('imax', exp, -254), 254)
1523 elif bits == 64:
1524 exp = ('imin', ('imax', exp, -2046), 2046)
1525 else:
1526 assert False
1527
1528 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1529 # (We use ishr which isn't the same for -1, but the -1 case still works
1530 # since we use exp-exp/2 as the second exponent.) While the spec
1531 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1532 # work with denormals and doesn't allow for the full swing in exponents
1533 # that you can get with normalized values. Instead, we create two powers
1534 # of two and multiply by them each in turn. That way the effective range
1535 # of our exponent is doubled.
1536 pow2_1 = fexp2i(('ishr', exp, 1), bits)
1537 pow2_2 = fexp2i(('isub', exp, ('ishr', exp, 1)), bits)
1538 return ('fmul', ('fmul', f, pow2_1), pow2_2)
1539
1540 optimizations += [
1541 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1542 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1543 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1544 ]
1545
1546 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1547 def bitfield_reverse(u):
1548 step1 = ('ior', ('ishl', u, 16), ('ushr', u, 16))
1549 step2 = ('ior', ('ishl', ('iand', step1, 0x00ff00ff), 8), ('ushr', ('iand', step1, 0xff00ff00), 8))
1550 step3 = ('ior', ('ishl', ('iand', step2, 0x0f0f0f0f), 4), ('ushr', ('iand', step2, 0xf0f0f0f0), 4))
1551 step4 = ('ior', ('ishl', ('iand', step3, 0x33333333), 2), ('ushr', ('iand', step3, 0xcccccccc), 2))
1552 step5 = ('ior(many-comm-expr)', ('ishl', ('iand', step4, 0x55555555), 1), ('ushr', ('iand', step4, 0xaaaaaaaa), 1))
1553
1554 return step5
1555
1556 optimizations += [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'), '!options->lower_bitfield_reverse')]
1557
1558 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1559 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1560 # and, if a is a NaN then the second comparison will fail anyway.
1561 for op in ['flt', 'fge', 'feq']:
1562 optimizations += [
1563 (('iand', ('feq', a, a), (op, a, b)), ('!' + op, a, b)),
1564 (('iand', ('feq', a, a), (op, b, a)), ('!' + op, b, a)),
1565 ]
1566
1567 # Add optimizations to handle the case where the result of a ternary is
1568 # compared to a constant. This way we can take things like
1569 #
1570 # (a ? 0 : 1) > 0
1571 #
1572 # and turn it into
1573 #
1574 # a ? (0 > 0) : (1 > 0)
1575 #
1576 # which constant folding will eat for lunch. The resulting ternary will
1577 # further get cleaned up by the boolean reductions above and we will be
1578 # left with just the original variable "a".
1579 for op in ['flt', 'fge', 'feq', 'fne',
1580 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1581 optimizations += [
1582 ((op, ('bcsel', 'a', '#b', '#c'), '#d'),
1583 ('bcsel', 'a', (op, 'b', 'd'), (op, 'c', 'd'))),
1584 ((op, '#d', ('bcsel', a, '#b', '#c')),
1585 ('bcsel', 'a', (op, 'd', 'b'), (op, 'd', 'c'))),
1586 ]
1587
1588
1589 # For example, this converts things like
1590 #
1591 # 1 + mix(0, a - 1, condition)
1592 #
1593 # into
1594 #
1595 # mix(1, (a-1)+1, condition)
1596 #
1597 # Other optimizations will rearrange the constants.
1598 for op in ['fadd', 'fmul', 'iadd', 'imul']:
1599 optimizations += [
1600 ((op, ('bcsel(is_used_once)', a, '#b', c), '#d'), ('bcsel', a, (op, b, d), (op, c, d)))
1601 ]
1602
1603 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1604 # states:
1605 #
1606 # If neither layout qualifier is specified, derivatives in compute shaders
1607 # return zero, which is consistent with the handling of built-in texture
1608 # functions like texture() in GLSL 4.50 compute shaders.
1609 for op in ['fddx', 'fddx_fine', 'fddx_coarse',
1610 'fddy', 'fddy_fine', 'fddy_coarse']:
1611 optimizations += [
1612 ((op, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1613 ]
1614
1615 # Some optimizations for ir3-specific instructions.
1616 optimizations += [
1617 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1618 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1619 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1620 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1621 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1622 ]
1623
1624 # These kinds of sequences can occur after nir_opt_peephole_select.
1625 #
1626 # NOTE: fadd is not handled here because that gets in the way of ffma
1627 # generation in the i965 driver. Instead, fadd and ffma are handled in
1628 # late_optimizations.
1629
1630 for op in ['flrp']:
1631 optimizations += [
1632 (('bcsel', a, (op + '(is_used_once)', b, c, d), (op, b, c, e)), (op, b, c, ('bcsel', a, d, e))),
1633 (('bcsel', a, (op, b, c, d), (op + '(is_used_once)', b, c, e)), (op, b, c, ('bcsel', a, d, e))),
1634 (('bcsel', a, (op + '(is_used_once)', b, c, d), (op, b, e, d)), (op, b, ('bcsel', a, c, e), d)),
1635 (('bcsel', a, (op, b, c, d), (op + '(is_used_once)', b, e, d)), (op, b, ('bcsel', a, c, e), d)),
1636 (('bcsel', a, (op + '(is_used_once)', b, c, d), (op, e, c, d)), (op, ('bcsel', a, b, e), c, d)),
1637 (('bcsel', a, (op, b, c, d), (op + '(is_used_once)', e, c, d)), (op, ('bcsel', a, b, e), c, d)),
1638 ]
1639
1640 for op in ['fmul', 'iadd', 'imul', 'iand', 'ior', 'ixor', 'fmin', 'fmax', 'imin', 'imax', 'umin', 'umax']:
1641 optimizations += [
1642 (('bcsel', a, (op + '(is_used_once)', b, c), (op, b, 'd(is_not_const)')), (op, b, ('bcsel', a, c, d))),
1643 (('bcsel', a, (op + '(is_used_once)', b, 'c(is_not_const)'), (op, b, d)), (op, b, ('bcsel', a, c, d))),
1644 (('bcsel', a, (op, b, 'c(is_not_const)'), (op + '(is_used_once)', b, d)), (op, b, ('bcsel', a, c, d))),
1645 (('bcsel', a, (op, b, c), (op + '(is_used_once)', b, 'd(is_not_const)')), (op, b, ('bcsel', a, c, d))),
1646 ]
1647
1648 for op in ['fpow']:
1649 optimizations += [
1650 (('bcsel', a, (op + '(is_used_once)', b, c), (op, b, d)), (op, b, ('bcsel', a, c, d))),
1651 (('bcsel', a, (op, b, c), (op + '(is_used_once)', b, d)), (op, b, ('bcsel', a, c, d))),
1652 (('bcsel', a, (op + '(is_used_once)', b, c), (op, d, c)), (op, ('bcsel', a, b, d), c)),
1653 (('bcsel', a, (op, b, c), (op + '(is_used_once)', d, c)), (op, ('bcsel', a, b, d), c)),
1654 ]
1655
1656 for op in ['frcp', 'frsq', 'fsqrt', 'fexp2', 'flog2', 'fsign', 'fsin', 'fcos']:
1657 optimizations += [
1658 (('bcsel', a, (op + '(is_used_once)', b), (op, c)), (op, ('bcsel', a, b, c))),
1659 (('bcsel', a, (op, b), (op + '(is_used_once)', c)), (op, ('bcsel', a, b, c))),
1660 ]
1661
1662 # This section contains "late" optimizations that should be run before
1663 # creating ffmas and calling regular optimizations for the final time.
1664 # Optimizations should go here if they help code generation and conflict
1665 # with the regular optimizations.
1666 before_ffma_optimizations = [
1667 # Propagate constants down multiplication chains
1668 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a, c), b)),
1669 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a, c), b)),
1670 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a, c), b)),
1671 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a, c), b)),
1672
1673 (('~fadd', ('fmul', a, b), ('fmul', a, c)), ('fmul', a, ('fadd', b, c))),
1674 (('iadd', ('imul', a, b), ('imul', a, c)), ('imul', a, ('iadd', b, c))),
1675 (('~fadd', ('fneg', a), a), 0.0),
1676 (('iadd', ('ineg', a), a), 0),
1677 (('iadd', ('ineg', a), ('iadd', a, b)), b),
1678 (('iadd', a, ('iadd', ('ineg', a), b)), b),
1679 (('~fadd', ('fneg', a), ('fadd', a, b)), b),
1680 (('~fadd', a, ('fadd', ('fneg', a), b)), b),
1681
1682 (('~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)),
1683 (('~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)),
1684 (('~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))),
1685 ]
1686
1687 # This section contains "late" optimizations that should be run after the
1688 # regular optimizations have finished. Optimizations should go here if
1689 # they help code generation but do not necessarily produce code that is
1690 # more easily optimizable.
1691 late_optimizations = [
1692 # Most of these optimizations aren't quite safe when you get infinity or
1693 # Nan involved but the first one should be fine.
1694 (('flt', ('fadd', a, b), 0.0), ('flt', a, ('fneg', b))),
1695 (('flt', ('fneg', ('fadd', a, b)), 0.0), ('flt', ('fneg', a), b)),
1696 (('~fge', ('fadd', a, b), 0.0), ('fge', a, ('fneg', b))),
1697 (('~fge', ('fneg', ('fadd', a, b)), 0.0), ('fge', ('fneg', a), b)),
1698 (('~feq', ('fadd', a, b), 0.0), ('feq', a, ('fneg', b))),
1699 (('~fne', ('fadd', a, b), 0.0), ('fne', a, ('fneg', b))),
1700
1701 # nir_lower_to_source_mods will collapse this, but its existence during the
1702 # optimization loop can prevent other optimizations.
1703 (('fneg', ('fneg', a)), a),
1704
1705 # Subtractions get lowered during optimization, so we need to recombine them
1706 (('fadd', 'a', ('fneg', 'b')), ('fsub', 'a', 'b'), '!options->lower_sub'),
1707 (('iadd', 'a', ('ineg', 'b')), ('isub', 'a', 'b'), '!options->lower_sub'),
1708 (('fneg', a), ('fsub', 0.0, a), 'options->lower_negate'),
1709 (('ineg', a), ('isub', 0, a), 'options->lower_negate'),
1710
1711 # These are duplicated from the main optimizations table. The late
1712 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1713 # new patterns like these. The patterns that compare with zero are removed
1714 # because they are unlikely to be created in by anything in
1715 # late_optimizations.
1716 (('flt', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('flt', a, b)),
1717 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('flt', b, a)),
1718 (('fge', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fge', a, b)),
1719 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a)), ('fge', b, a)),
1720 (('feq', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('feq', a, b)),
1721 (('fne', ('fsat(is_used_once)', a), '#b(is_gt_0_and_lt_1)'), ('fne', a, b)),
1722
1723 (('fge', ('fsat(is_used_once)', a), 1.0), ('fge', a, 1.0)),
1724 (('flt', ('fsat(is_used_once)', a), 1.0), ('flt', a, 1.0)),
1725
1726 (('~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)))),
1727
1728 (('flt', ('fneg', a), ('fneg', b)), ('flt', b, a)),
1729 (('fge', ('fneg', a), ('fneg', b)), ('fge', b, a)),
1730 (('feq', ('fneg', a), ('fneg', b)), ('feq', b, a)),
1731 (('fne', ('fneg', a), ('fneg', b)), ('fne', b, a)),
1732 (('flt', ('fneg', a), -1.0), ('flt', 1.0, a)),
1733 (('flt', -1.0, ('fneg', a)), ('flt', a, 1.0)),
1734 (('fge', ('fneg', a), -1.0), ('fge', 1.0, a)),
1735 (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
1736 (('fne', ('fneg', a), -1.0), ('fne', 1.0, a)),
1737 (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
1738
1739 (('ior', a, a), a),
1740 (('iand', a, a), a),
1741
1742 (('iand', ('ine(is_used_once)', 'a@32', 0), ('ine', 'b@32', 0)), ('ine', ('umin', a, b), 0)),
1743 (('ior', ('ieq(is_used_once)', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('umin', a, b), 0)),
1744
1745 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a)))),
1746
1747 (('fdot2', a, b), ('fdot_replicated2', a, b), 'options->fdot_replicates'),
1748 (('fdot3', a, b), ('fdot_replicated3', a, b), 'options->fdot_replicates'),
1749 (('fdot4', a, b), ('fdot_replicated4', a, b), 'options->fdot_replicates'),
1750 (('fdph', a, b), ('fdph_replicated', a, b), 'options->fdot_replicates'),
1751
1752 (('~flrp@32', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1753 (('~flrp@64', ('fadd(is_used_once)', a, b), ('fadd(is_used_once)', a, c), d), ('fadd', ('flrp', b, c, d), a)),
1754
1755 (('~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'),
1756 (('~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'),
1757
1758 # A similar operation could apply to any ffma(#a, b, #(-a/2)), but this
1759 # particular operation is common for expanding values stored in a texture
1760 # from [0,1] to [-1,1].
1761 (('~ffma@32', a, 2.0, -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1762 (('~ffma@32', a, -2.0, -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1763 (('~ffma@32', a, -2.0, 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1764 (('~ffma@32', a, 2.0, 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1765 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), -1.0), ('flrp', -1.0, 1.0, a ), '!options->lower_flrp32'),
1766 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), -1.0), ('flrp', -1.0, 1.0, ('fneg', a)), '!options->lower_flrp32'),
1767 (('~fadd@32', ('fmul(is_used_once)', -2.0, a), 1.0), ('flrp', 1.0, -1.0, a ), '!options->lower_flrp32'),
1768 (('~fadd@32', ('fmul(is_used_once)', 2.0, a), 1.0), ('flrp', 1.0, -1.0, ('fneg', a)), '!options->lower_flrp32'),
1769
1770 # flrp(a, b, a)
1771 # a*(1-a) + b*a
1772 # a + -a*a + a*b (1)
1773 # a + a*(b - a)
1774 # Option 1: ffma(a, (b-a), a)
1775 #
1776 # Alternately, after (1):
1777 # a*(1+b) + -a*a
1778 # a*((1+b) + -a)
1779 #
1780 # Let b=1
1781 #
1782 # Option 2: ffma(a, 2, -(a*a))
1783 # Option 3: ffma(a, 2, (-a)*a)
1784 # Option 4: ffma(a, -a, (2*a)
1785 # Option 5: a * (2 - a)
1786 #
1787 # There are a lot of other possible combinations.
1788 (('~ffma@32', ('fadd', b, ('fneg', a)), a, a), ('flrp', a, b, a), '!options->lower_flrp32'),
1789 (('~ffma@32', a, 2.0, ('fneg', ('fmul', a, a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1790 (('~ffma@32', a, 2.0, ('fmul', ('fneg', a), a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1791 (('~ffma@32', a, ('fneg', a), ('fmul', 2.0, a)), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1792 (('~fmul@32', a, ('fadd', 2.0, ('fneg', a))), ('flrp', a, 1.0, a), '!options->lower_flrp32'),
1793
1794 # we do these late so that we don't get in the way of creating ffmas
1795 (('fmin', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmin', a, b))),
1796 (('fmax', ('fadd(is_used_once)', '#c', a), ('fadd(is_used_once)', '#c', b)), ('fadd', c, ('fmax', a, b))),
1797
1798 (('bcsel', a, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a, b)))),
1799
1800 # Putting this in 'optimizations' interferes with the bcsel(a, op(b, c),
1801 # op(b, d)) => op(b, bcsel(a, c, d)) transformations. I do not know why.
1802 (('bcsel', ('feq', ('fsqrt', 'a(is_not_negative)'), 0.0), intBitsToFloat(0x7f7fffff), ('frsq', a)),
1803 ('fmin', ('frsq', a), intBitsToFloat(0x7f7fffff))),
1804
1805 # Things that look like DPH in the source shader may get expanded to
1806 # something that looks like dot(v1.xyz, v2.xyz) + v1.w by the time it gets
1807 # to NIR. After FFMA is generated, this can look like:
1808 #
1809 # fadd(ffma(v1.z, v2.z, ffma(v1.y, v2.y, fmul(v1.x, v2.x))), v1.w)
1810 #
1811 # Reassociate the last addition into the first multiplication.
1812 #
1813 # Some shaders do not use 'invariant' in vertex and (possibly) geometry
1814 # shader stages on some outputs that are intended to be invariant. For
1815 # various reasons, this optimization may not be fully applied in all
1816 # shaders used for different rendering passes of the same geometry. This
1817 # can result in Z-fighting artifacts (at best). For now, disable this
1818 # optimization in these stages. See bugzilla #111490. In tessellation
1819 # stages applications seem to use 'precise' when necessary, so allow the
1820 # optimization in those stages.
1821 (('~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)'),
1822 ('ffma', a, b, ('ffma', c, d, ('ffma', e, 'f', 'g'))), '(info->stage != MESA_SHADER_VERTEX && info->stage != MESA_SHADER_GEOMETRY) && !options->intel_vec4'),
1823 (('~fadd', ('ffma(is_used_once)', a, b, ('fmul', 'c(is_not_const_and_not_fsign)', 'd(is_not_const_and_not_fsign)') ), 'e(is_not_const)'),
1824 ('ffma', a, b, ('ffma', c, d, e)), '(info->stage != MESA_SHADER_VERTEX && info->stage != MESA_SHADER_GEOMETRY) && !options->intel_vec4'),
1825
1826 # Convert f2fmp instructions to concrete f2f16 instructions. At this point
1827 # any conversions that could have been removed will have been removed in
1828 # nir_opt_algebraic so any remaining ones are required.
1829 (('f2fmp', a), ('f2f16', a)),
1830 ]
1831
1832 for op in ['fadd']:
1833 late_optimizations += [
1834 (('bcsel', a, (op + '(is_used_once)', b, c), (op, b, d)), (op, b, ('bcsel', a, c, d))),
1835 (('bcsel', a, (op, b, c), (op + '(is_used_once)', b, d)), (op, b, ('bcsel', a, c, d))),
1836 ]
1837
1838 for op in ['ffma']:
1839 late_optimizations += [
1840 (('bcsel', a, (op + '(is_used_once)', b, c, d), (op, b, c, e)), (op, b, c, ('bcsel', a, d, e))),
1841 (('bcsel', a, (op, b, c, d), (op + '(is_used_once)', b, c, e)), (op, b, c, ('bcsel', a, d, e))),
1842
1843 (('bcsel', a, (op + '(is_used_once)', b, c, d), (op, b, e, d)), (op, b, ('bcsel', a, c, e), d)),
1844 (('bcsel', a, (op, b, c, d), (op + '(is_used_once)', b, e, d)), (op, b, ('bcsel', a, c, e), d)),
1845 ]
1846
1847 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic", optimizations).render())
1848 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_before_ffma",
1849 before_ffma_optimizations).render())
1850 print(nir_algebraic.AlgebraicPass("nir_opt_algebraic_late",
1851 late_optimizations).render())