2 # Copyright (C) 2014 Intel Corporation
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:
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
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
24 # Jason Ekstrand (jason@jlekstrand.net)
26 from __future__
import print_function
28 from collections
import OrderedDict
30 from nir_opcodes
import type_sizes
35 # Convenience variables
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.
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.
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)
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
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
73 # If the opcode in a replacement expression is prefixed by a '!' character,
74 # this indicated that the new expression will be marked exact.
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)").
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
)
88 def intBitsToFloat(i
):
89 return struct
.unpack('!f', struct
.pack('!I', i
))[0]
93 (('imul', a
, '#b(is_pos_power_of_two)'), ('ishl', a
, ('find_lsb', b
)), '!options->lower_bitops'),
94 (('imul', a
, '#b(is_neg_power_of_two)'), ('ineg', ('ishl', a
, ('find_lsb', ('iabs', b
)))), '!options->lower_bitops'),
95 (('ishl', a
, '#b'), ('imul', a
, ('ishl', 1, b
)), 'options->lower_bitops'),
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'),
105 (('udiv', a
, '#b(is_pos_power_of_two)'), ('ushr', a
, ('find_lsb', b
)), '!options->lower_bitops'),
106 (('idiv', a
, '#b(is_pos_power_of_two)'), ('imul', ('isign', a
), ('ushr', ('iabs', a
), ('find_lsb', b
))), 'options->lower_idiv'),
107 (('idiv', a
, '#b(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))),
110 (('~fneg', ('fneg', a
)), a
),
111 (('ineg', ('ineg', a
)), a
),
112 (('fabs', ('fneg', a
)), ('fabs', a
)),
113 (('fabs', ('u2f', a
)), ('u2f', a
)),
114 (('iabs', ('iabs', a
)), ('iabs', a
)),
115 (('iabs', ('ineg', a
)), ('iabs', a
)),
116 (('f2b', ('fneg', a
)), ('f2b', a
)),
117 (('i2b', ('ineg', a
)), ('i2b', a
)),
118 (('~fadd', a
, 0.0), a
),
120 (('usadd_4x8', a
, 0), a
),
121 (('usadd_4x8', a
, ~
0), ~
0),
122 (('~fadd', ('fmul', a
, b
), ('fmul', a
, c
)), ('fmul', a
, ('fadd', b
, c
))),
123 (('iadd', ('imul', a
, b
), ('imul', a
, c
)), ('imul', a
, ('iadd', b
, c
))),
124 (('iand', ('ior', a
, b
), ('ior', a
, c
)), ('ior', a
, ('iand', b
, c
))),
125 (('ior', ('iand', a
, b
), ('iand', a
, c
)), ('iand', a
, ('ior', b
, c
))),
126 (('~fadd', ('fneg', a
), a
), 0.0),
127 (('iadd', ('ineg', a
), a
), 0),
128 (('iadd', ('ineg', a
), ('iadd', a
, b
)), b
),
129 (('iadd', a
, ('iadd', ('ineg', a
), b
)), b
),
130 (('~fadd', ('fneg', a
), ('fadd', a
, b
)), b
),
131 (('~fadd', a
, ('fadd', ('fneg', a
), b
)), b
),
132 (('fadd', ('fsat', a
), ('fsat', ('fneg', a
))), ('fsat', ('fabs', a
))),
133 (('~fmul', a
, 0.0), 0.0),
135 (('umul_unorm_4x8', a
, 0), 0),
136 (('umul_unorm_4x8', a
, ~
0), a
),
137 (('~fmul', a
, 1.0), a
),
139 (('fmul', a
, -1.0), ('fneg', a
)),
140 (('imul', a
, -1), ('ineg', 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 => 1*a*a => a*a => abs(a)*a
143 # If a == 0: fsign(a)*a*a => 0*0*0 => abs(0)*0
144 (('fmul', ('fsign', a
), ('fmul', a
, a
)), ('fmul', ('fabs', a
), a
)),
145 (('fmul', ('fmul', ('fsign', a
), a
), a
), ('fmul', ('fabs', a
), a
)),
146 (('~ffma', 0.0, a
, b
), b
),
147 (('~ffma', a
, b
, 0.0), ('fmul', a
, b
)),
148 (('ffma', 1.0, a
, b
), ('fadd', a
, b
)),
149 (('ffma', -1.0, a
, b
), ('fadd', ('fneg', a
), b
)),
150 (('~flrp', a
, b
, 0.0), a
),
151 (('~flrp', a
, b
, 1.0), b
),
152 (('~flrp', a
, a
, b
), a
),
153 (('~flrp', 0.0, a
, b
), ('fmul', a
, b
)),
155 # flrp(a, a + b, c) => a + flrp(0, b, c) => a + (b * c)
156 (('~flrp', a
, ('fadd(is_used_once)', a
, b
), c
), ('fadd', ('fmul', b
, c
), a
)),
157 (('~flrp@32', a
, ('fadd', a
, b
), c
), ('fadd', ('fmul', b
, c
), a
), 'options->lower_flrp32'),
158 (('~flrp@64', a
, ('fadd', a
, b
), c
), ('fadd', ('fmul', b
, c
), a
), 'options->lower_flrp64'),
160 (('~flrp@32', ('fadd', a
, b
), ('fadd', a
, c
), d
), ('fadd', ('flrp', b
, c
, d
), a
), 'options->lower_flrp32'),
161 (('~flrp@64', ('fadd', a
, b
), ('fadd', a
, c
), d
), ('fadd', ('flrp', b
, c
, d
), a
), 'options->lower_flrp64'),
163 (('~flrp@32', a
, ('fmul(is_used_once)', a
, b
), c
), ('fmul', ('flrp', 1.0, b
, c
), a
), 'options->lower_flrp32'),
164 (('~flrp@64', a
, ('fmul(is_used_once)', a
, b
), c
), ('fmul', ('flrp', 1.0, b
, c
), a
), 'options->lower_flrp64'),
166 (('~flrp', ('fmul(is_used_once)', a
, b
), ('fmul(is_used_once)', a
, c
), d
), ('fmul', ('flrp', b
, c
, d
), a
)),
168 (('~flrp', a
, b
, ('b2f', 'c@1')), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
169 (('~flrp', a
, 0.0, c
), ('fadd', ('fmul', ('fneg', a
), c
), a
)),
170 (('ftrunc', a
), ('bcsel', ('flt', a
, 0.0), ('fneg', ('ffloor', ('fabs', a
))), ('ffloor', ('fabs', a
))), 'options->lower_ftrunc'),
171 (('ffloor', a
), ('fsub', a
, ('ffract', a
)), 'options->lower_ffloor'),
172 (('fadd', a
, ('fneg', ('ffract', a
))), ('ffloor', a
), '!options->lower_ffloor'),
173 (('ffract', a
), ('fsub', a
, ('ffloor', a
)), 'options->lower_ffract'),
174 (('fceil', a
), ('fneg', ('ffloor', ('fneg', a
))), 'options->lower_fceil'),
175 (('~fadd', ('fmul', a
, ('fadd', 1.0, ('fneg', ('b2f', 'c@1')))), ('fmul', b
, ('b2f', c
))), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
176 (('~fadd@32', ('fmul', a
, ('fadd', 1.0, ('fneg', c
) )), ('fmul', b
, c
)), ('flrp', a
, b
, c
), '!options->lower_flrp32'),
177 (('~fadd@64', ('fmul', a
, ('fadd', 1.0, ('fneg', c
) )), ('fmul', b
, c
)), ('flrp', a
, b
, c
), '!options->lower_flrp64'),
178 # These are the same as the previous three rules, but it depends on
179 # 1-fsat(x) <=> fsat(1-x). See below.
180 (('~fadd@32', ('fmul', a
, ('fsat', ('fadd', 1.0, ('fneg', c
)))), ('fmul', b
, ('fsat', c
))), ('flrp', a
, b
, ('fsat', c
)), '!options->lower_flrp32'),
181 (('~fadd@64', ('fmul', a
, ('fsat', ('fadd', 1.0, ('fneg', c
)))), ('fmul', b
, ('fsat', c
))), ('flrp', a
, b
, ('fsat', c
)), '!options->lower_flrp64'),
183 (('~fadd', a
, ('fmul', ('b2f', 'c@1'), ('fadd', b
, ('fneg', a
)))), ('bcsel', c
, b
, a
), 'options->lower_flrp32'),
184 (('~fadd@32', a
, ('fmul', c
, ('fadd', b
, ('fneg', a
)))), ('flrp', a
, b
, c
), '!options->lower_flrp32'),
185 (('~fadd@64', a
, ('fmul', c
, ('fadd', b
, ('fneg', a
)))), ('flrp', a
, b
, c
), '!options->lower_flrp64'),
186 (('ffma', a
, b
, c
), ('fadd', ('fmul', a
, b
), c
), 'options->lower_ffma'),
187 (('~fadd', ('fmul', a
, b
), c
), ('ffma', a
, b
, c
), 'options->fuse_ffma'),
189 (('~fmul', ('fadd', ('iand', ('ineg', ('b2i', 'a@bool')), ('fmul', b
, c
)), '#d'), '#e'),
190 ('bcsel', a
, ('fmul', ('fadd', ('fmul', b
, c
), d
), e
), ('fmul', d
, e
))),
192 (('fdph', a
, b
), ('fdot4', ('vec4', 'a.x', 'a.y', 'a.z', 1.0), b
), 'options->lower_fdph'),
194 (('fdot4', ('vec4', a
, b
, c
, 1.0), d
), ('fdph', ('vec3', a
, b
, c
), d
), '!options->lower_fdph'),
195 (('fdot4', ('vec4', a
, 0.0, 0.0, 0.0), b
), ('fmul', a
, b
)),
196 (('fdot4', ('vec4', a
, b
, 0.0, 0.0), c
), ('fdot2', ('vec2', a
, b
), c
)),
197 (('fdot4', ('vec4', a
, b
, c
, 0.0), d
), ('fdot3', ('vec3', a
, b
, c
), d
)),
199 (('fdot3', ('vec3', a
, 0.0, 0.0), b
), ('fmul', a
, b
)),
200 (('fdot3', ('vec3', a
, b
, 0.0), c
), ('fdot2', ('vec2', a
, b
), c
)),
202 (('fdot2', ('vec2', a
, 0.0), b
), ('fmul', a
, b
)),
203 (('fdot2', a
, 1.0), ('fadd', 'a.x', 'a.y')),
205 # Lower fdot to fsum when it is available
206 (('fdot2', a
, b
), ('fsum2', ('fmul', a
, b
)), 'options->lower_fdot'),
207 (('fdot3', a
, b
), ('fsum3', ('fmul', a
, b
)), 'options->lower_fdot'),
208 (('fdot4', a
, b
), ('fsum4', ('fmul', a
, b
)), 'options->lower_fdot'),
209 (('fsum2', a
), ('fadd', 'a.x', 'a.y'), 'options->lower_fdot'),
211 # If x >= 0 and x <= 1: fsat(1 - x) == 1 - fsat(x) trivially
212 # If x < 0: 1 - fsat(x) => 1 - 0 => 1 and fsat(1 - x) => fsat(> 1) => 1
213 # If x > 1: 1 - fsat(x) => 1 - 1 => 0 and fsat(1 - x) => fsat(< 0) => 0
214 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a
)))),
216 # 1 - ((1 - a) * (1 - b))
217 # 1 - (1 - a - b + a*b)
218 # 1 - 1 + a + b - a*b
223 (('~fadd@32', 1.0, ('fneg', ('fmul', ('fadd', 1.0, ('fneg', a
)), ('fadd', 1.0, ('fneg', b
))))),
224 ('flrp', b
, 1.0, a
), '!options->lower_flrp32'),
226 # (a * #b + #c) << #d
227 # ((a * #b) << #d) + (#c << #d)
228 # (a * (#b << #d)) + (#c << #d)
229 (('ishl', ('iadd', ('imul', a
, '#b'), '#c'), '#d'),
230 ('iadd', ('imul', a
, ('ishl', b
, d
)), ('ishl', c
, d
))),
234 (('ishl', ('imul', a
, '#b'), '#c'), ('imul', a
, ('ishl', b
, c
))),
237 # Care must be taken here. Shifts in NIR uses only the lower log2(bitsize)
238 # bits of the second source. These replacements must correctly handle the
239 # case where (b % bitsize) + (c % bitsize) >= bitsize.
240 for s
in [8, 16, 32, 64]:
243 ishl
= "ishl@{}".format(s
)
244 ishr
= "ishr@{}".format(s
)
245 ushr
= "ushr@{}".format(s
)
247 in_bounds
= ('ult', ('iadd', ('iand', b
, mask
), ('iand', c
, mask
)), s
)
249 optimizations
.extend([
250 ((ishl
, (ishl
, a
, '#b'), '#c'), ('bcsel', in_bounds
, (ishl
, a
, ('iadd', b
, c
)), 0)),
251 ((ushr
, (ushr
, a
, '#b'), '#c'), ('bcsel', in_bounds
, (ushr
, a
, ('iadd', b
, c
)), 0)),
253 # To get get -1 for large shifts of negative values, ishr must instead
254 # clamp the shift count to the maximum value.
255 ((ishr
, (ishr
, a
, '#b'), '#c'),
256 (ishr
, a
, ('imin', ('iadd', ('iand', b
, mask
), ('iand', c
, mask
)), s
- 1))),
259 # Optimize a pattern of address calculation created by DXVK where the offset is
260 # divided by 4 and then multipled by 4. This can be turned into an iand and the
261 # additions before can be reassociated to CSE the iand instruction.
262 for log2
in range(1, 7): # powers of two from 2 to 64
264 mask
= 0xffffffff & ~
(v
- 1)
265 b_is_multiple
= '#b(is_unsigned_multiple_of_{})'.format(v
)
267 optimizations
.extend([
268 # 'a >> #b << #b' -> 'a & ~((1 << #b) - 1)'
269 (('ishl', ('ushr', a
, log2
), log2
), ('iand', a
, mask
)),
271 # Reassociate for improved CSE
272 (('iand', ('iadd', a
, b_is_multiple
), mask
), ('iadd', ('iand', a
, mask
), b
)),
275 # To save space in the state tables, reduce to the set that is known to help.
276 # Previously, this was range(1, 32). In addition, a couple rules inside the
277 # loop are commented out. Revisit someday, probably after mesa/#2635 has some
279 for i
in [1, 2, 16, 24]:
280 lo_mask
= 0xffffffff >> i
281 hi_mask
= (0xffffffff << i
) & 0xffffffff
283 optimizations
.extend([
284 # This pattern seems to only help in the soft-fp64 code.
285 (('ishl@32', ('iand', 'a@32', lo_mask
), i
), ('ishl', a
, i
)),
286 # (('ushr@32', ('iand', 'a@32', hi_mask), i), ('ushr', a, i)),
287 # (('ishr@32', ('iand', 'a@32', hi_mask), i), ('ishr', a, i)),
289 (('iand', ('ishl', 'a@32', i
), hi_mask
), ('ishl', a
, i
)),
290 (('iand', ('ushr', 'a@32', i
), lo_mask
), ('ushr', a
, i
)),
291 # (('iand', ('ishr', 'a@32', i), lo_mask), ('ushr', a, i)), # Yes, ushr is correct
294 optimizations
.extend([
295 # This is common for address calculations. Reassociating may enable the
296 # 'a<<c' to be CSE'd. It also helps architectures that have an ISHLADD
297 # instruction or a constant offset field for in load / store instructions.
298 (('ishl', ('iadd', a
, '#b'), '#c'), ('iadd', ('ishl', a
, c
), ('ishl', b
, c
))),
300 # Comparison simplifications
301 (('~inot', ('flt', a
, b
)), ('fge', a
, b
)),
302 (('~inot', ('fge', a
, b
)), ('flt', a
, b
)),
303 (('inot', ('feq', a
, b
)), ('fneu', a
, b
)),
304 (('inot', ('fneu', a
, b
)), ('feq', a
, b
)),
305 (('inot', ('ilt', a
, b
)), ('ige', a
, b
)),
306 (('inot', ('ult', a
, b
)), ('uge', a
, b
)),
307 (('inot', ('ige', a
, b
)), ('ilt', a
, b
)),
308 (('inot', ('uge', a
, b
)), ('ult', a
, b
)),
309 (('inot', ('ieq', a
, b
)), ('ine', a
, b
)),
310 (('inot', ('ine', a
, b
)), ('ieq', a
, b
)),
312 (('iand', ('feq', a
, b
), ('fneu', a
, b
)), False),
313 (('iand', ('flt', a
, b
), ('flt', b
, a
)), False),
314 (('iand', ('ieq', a
, b
), ('ine', a
, b
)), False),
315 (('iand', ('ilt', a
, b
), ('ilt', b
, a
)), False),
316 (('iand', ('ult', a
, b
), ('ult', b
, a
)), False),
318 # This helps some shaders because, after some optimizations, they end up
319 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
320 # matching would be handled by CSE.
321 (('flt', ('fneg', a
), ('fneg', b
)), ('flt', b
, a
)),
322 (('fge', ('fneg', a
), ('fneg', b
)), ('fge', b
, a
)),
323 (('feq', ('fneg', a
), ('fneg', b
)), ('feq', b
, a
)),
324 (('fneu', ('fneg', a
), ('fneg', b
)), ('fneu', b
, a
)),
325 (('flt', ('fneg', a
), -1.0), ('flt', 1.0, a
)),
326 (('flt', -1.0, ('fneg', a
)), ('flt', a
, 1.0)),
327 (('fge', ('fneg', a
), -1.0), ('fge', 1.0, a
)),
328 (('fge', -1.0, ('fneg', a
)), ('fge', a
, 1.0)),
329 (('fneu', ('fneg', a
), -1.0), ('fneu', 1.0, a
)),
330 (('feq', -1.0, ('fneg', a
)), ('feq', a
, 1.0)),
332 # flt(fsat(a), b > 0 && b < 1) is inexact if a is NaN (fsat(NaN) is 0)
333 # because it returns True while flt(a, b) always returns False.
334 (('~flt', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('flt', a
, b
)),
335 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('flt', b
, a
)),
336 (('fge', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fge', a
, b
)),
337 # fge(b > 0 && b < 1, fsat(a)) is inexact if a is NaN (fsat(NaN) is 0)
338 # because it returns True while fge(b, a) always returns False.
339 (('~fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('fge', b
, a
)),
340 (('feq', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('feq', a
, b
)),
341 (('fneu', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fneu', a
, b
)),
343 (('fge', ('fsat(is_used_once)', a
), 1.0), ('fge', a
, 1.0)),
344 (('flt', ('fsat(is_used_once)', a
), 1.0), ('flt', a
, 1.0)),
345 (('fge', 0.0, ('fsat(is_used_once)', a
)), ('fge', 0.0, a
)),
346 (('flt', 0.0, ('fsat(is_used_once)', a
)), ('flt', 0.0, a
)),
350 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
352 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a
)),
354 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a
)),
356 (('fneu', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
357 (('fneu', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
358 (('fneu', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a
, b
)),
359 (('fneu', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a
, b
)),
360 (('fneu', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
361 (('fneu', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
362 (('fneu', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a
, b
)),
363 (('fneu', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a
, b
)),
364 (('fneu', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a
, b
)),
365 (('fneu', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a
, b
)),
366 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
367 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
368 (('feq', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a
, b
))),
369 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
370 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
371 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
372 (('feq', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a
, b
))),
373 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a
, b
)),
374 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a
, b
)),
375 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a
, b
)),
377 # -(b2f(a) + b2f(b)) < 0
378 # 0 < b2f(a) + b2f(b)
379 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
381 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a
, b
)),
382 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a
, b
)),
384 # -(b2f(a) + b2f(b)) >= 0
385 # 0 >= b2f(a) + b2f(b)
386 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
388 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a
, b
))),
389 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
391 (('flt', a
, ('fneg', a
)), ('flt', a
, 0.0)),
392 (('fge', a
, ('fneg', a
)), ('fge', a
, 0.0)),
394 # Some optimizations (below) convert things like (a < b || c < b) into
395 # (min(a, c) < b). However, this interfers with the previous optimizations
396 # that try to remove comparisons with negated sums of b2f. This just
398 (('flt', ('fmin', c
, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
399 ('ior', ('flt', c
, 0.0), ('ior', a
, b
))),
401 (('~flt', ('fadd', a
, b
), a
), ('flt', b
, 0.0)),
402 (('~fge', ('fadd', a
, b
), a
), ('fge', b
, 0.0)),
403 (('~feq', ('fadd', a
, b
), a
), ('feq', b
, 0.0)),
404 (('~fneu', ('fadd', a
, b
), a
), ('fneu', b
, 0.0)),
405 (('~flt', ('fadd(is_used_once)', a
, '#b'), '#c'), ('flt', a
, ('fadd', c
, ('fneg', b
)))),
406 (('~flt', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('flt', ('fneg', ('fadd', c
, b
)), a
)),
407 (('~fge', ('fadd(is_used_once)', a
, '#b'), '#c'), ('fge', a
, ('fadd', c
, ('fneg', b
)))),
408 (('~fge', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('fge', ('fneg', ('fadd', c
, b
)), a
)),
409 (('~feq', ('fadd(is_used_once)', a
, '#b'), '#c'), ('feq', a
, ('fadd', c
, ('fneg', b
)))),
410 (('~feq', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('feq', ('fneg', ('fadd', c
, b
)), a
)),
411 (('~fneu', ('fadd(is_used_once)', a
, '#b'), '#c'), ('fneu', a
, ('fadd', c
, ('fneg', b
)))),
412 (('~fneu', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('fneu', ('fneg', ('fadd', c
, b
)), a
)),
414 # Cannot remove the addition from ilt or ige due to overflow.
415 (('ieq', ('iadd', a
, b
), a
), ('ieq', b
, 0)),
416 (('ine', ('iadd', a
, b
), a
), ('ine', b
, 0)),
418 # fmin(-b2f(a), b) >= 0.0
419 # -b2f(a) >= 0.0 && b >= 0.0
420 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
421 # b2f(a) == 0.0 && b >= 0.0
422 # a == False && b >= 0.0
425 # The fge in the second replacement is not a typo. I leave the proof that
426 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
428 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
429 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
431 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a
)),
432 (('~fneu', ('b2f', 'a@1'), 0.0), a
),
433 (('ieq', ('b2i', 'a@1'), 0), ('inot', a
)),
434 (('ine', ('b2i', 'a@1'), 0), a
),
436 (('fneu', ('u2f', a
), 0.0), ('ine', a
, 0)),
437 (('feq', ('u2f', a
), 0.0), ('ieq', a
, 0)),
438 (('fge', ('u2f', a
), 0.0), True),
439 (('fge', 0.0, ('u2f', a
)), ('uge', 0, a
)), # ieq instead?
440 (('flt', ('u2f', a
), 0.0), False),
441 (('flt', 0.0, ('u2f', a
)), ('ult', 0, a
)), # ine instead?
442 (('fneu', ('i2f', a
), 0.0), ('ine', a
, 0)),
443 (('feq', ('i2f', a
), 0.0), ('ieq', a
, 0)),
444 (('fge', ('i2f', a
), 0.0), ('ige', a
, 0)),
445 (('fge', 0.0, ('i2f', a
)), ('ige', 0, a
)),
446 (('flt', ('i2f', a
), 0.0), ('ilt', a
, 0)),
447 (('flt', 0.0, ('i2f', a
)), ('ilt', 0, a
)),
451 # fabs(a) != 0.0 because fabs(a) must be >= 0
453 (('~flt', 0.0, ('fabs', a
)), ('fneu', a
, 0.0)),
457 (('~flt', ('fneg', ('fabs', a
)), 0.0), ('fneu', a
, 0.0)),
460 # 0.0 == fabs(a) because fabs(a) must be >= 0
462 (('fge', 0.0, ('fabs', a
)), ('feq', a
, 0.0)),
466 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
468 # (a >= 0.0) && (a <= 1.0) -> fsat(a) == a
469 (('iand', ('fge', a
, 0.0), ('fge', 1.0, a
)), ('feq', a
, ('fsat', a
)), '!options->lower_fsat'),
471 # (a < 0.0) || (a > 1.0)
472 # !(!(a < 0.0) && !(a > 1.0))
473 # !((a >= 0.0) && (a <= 1.0))
476 (('ior', ('flt', a
, 0.0), ('flt', 1.0, a
)), ('fneu', a
, ('fsat', a
)), '!options->lower_fsat'),
478 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a
, b
))),
479 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a
, b
)))),
480 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
481 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a
, b
)))),
484 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
485 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
486 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
488 # Since b is a constant, constant folding will eliminate the fmin and the
489 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
490 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a
, ('fmin', b
, 1.0), ('fmin', b
, 0.0))),
492 (('flt', ('fadd(is_used_once)', a
, ('fneg', b
)), 0.0), ('flt', a
, b
)),
494 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
495 (('~bcsel', ('flt', b
, a
), b
, a
), ('fmin', a
, b
)),
496 (('~bcsel', ('flt', a
, b
), b
, a
), ('fmax', a
, b
)),
497 (('~bcsel', ('fge', a
, b
), b
, a
), ('fmin', a
, b
)),
498 (('~bcsel', ('fge', b
, a
), b
, a
), ('fmax', a
, b
)),
499 (('bcsel', ('i2b', a
), b
, c
), ('bcsel', ('ine', a
, 0), b
, c
)),
500 (('bcsel', ('inot', a
), b
, c
), ('bcsel', a
, c
, b
)),
501 (('bcsel', a
, ('bcsel', a
, b
, c
), d
), ('bcsel', a
, b
, d
)),
502 (('bcsel', a
, b
, ('bcsel', a
, c
, d
)), ('bcsel', a
, b
, d
)),
503 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
504 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
505 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
506 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
507 (('bcsel', a
, True, b
), ('ior', a
, b
)),
508 (('bcsel', a
, a
, b
), ('ior', a
, b
)),
509 (('bcsel', a
, b
, False), ('iand', a
, b
)),
510 (('bcsel', a
, b
, a
), ('iand', a
, b
)),
511 (('~fmin', a
, a
), a
),
512 (('~fmax', a
, a
), a
),
517 (('fmax', ('fmax', a
, b
), b
), ('fmax', a
, b
)),
518 (('umax', ('umax', a
, b
), b
), ('umax', a
, b
)),
519 (('imax', ('imax', a
, b
), b
), ('imax', a
, b
)),
520 (('fmin', ('fmin', a
, b
), b
), ('fmin', a
, b
)),
521 (('umin', ('umin', a
, b
), b
), ('umin', a
, b
)),
522 (('imin', ('imin', a
, b
), b
), ('imin', a
, b
)),
523 (('iand@32', a
, ('inot', ('ishr', a
, 31))), ('imax', a
, 0)),
525 # Simplify logic to detect sign of an integer.
526 (('ieq', ('iand', 'a@32', 0x80000000), 0x00000000), ('ige', a
, 0)),
527 (('ine', ('iand', 'a@32', 0x80000000), 0x80000000), ('ige', a
, 0)),
528 (('ine', ('iand', 'a@32', 0x80000000), 0x00000000), ('ilt', a
, 0)),
529 (('ieq', ('iand', 'a@32', 0x80000000), 0x80000000), ('ilt', a
, 0)),
530 (('ine', ('ushr', 'a@32', 31), 0), ('ilt', a
, 0)),
531 (('ieq', ('ushr', 'a@32', 31), 0), ('ige', a
, 0)),
532 (('ieq', ('ushr', 'a@32', 31), 1), ('ilt', a
, 0)),
533 (('ine', ('ushr', 'a@32', 31), 1), ('ige', a
, 0)),
534 (('ine', ('ishr', 'a@32', 31), 0), ('ilt', a
, 0)),
535 (('ieq', ('ishr', 'a@32', 31), 0), ('ige', a
, 0)),
536 (('ieq', ('ishr', 'a@32', 31), -1), ('ilt', a
, 0)),
537 (('ine', ('ishr', 'a@32', 31), -1), ('ige', a
, 0)),
539 (('fmin', a
, ('fneg', a
)), ('fneg', ('fabs', a
))),
540 (('imin', a
, ('ineg', a
)), ('ineg', ('iabs', a
))),
541 (('fmin', a
, ('fneg', ('fabs', a
))), ('fneg', ('fabs', a
))),
542 (('imin', a
, ('ineg', ('iabs', a
))), ('ineg', ('iabs', a
))),
543 (('~fmin', a
, ('fabs', a
)), a
),
544 (('imin', a
, ('iabs', a
)), a
),
545 (('~fmax', a
, ('fneg', ('fabs', a
))), a
),
546 (('imax', a
, ('ineg', ('iabs', a
))), a
),
547 (('fmax', a
, ('fabs', a
)), ('fabs', a
)),
548 (('imax', a
, ('iabs', a
)), ('iabs', a
)),
549 (('fmax', a
, ('fneg', a
)), ('fabs', a
)),
550 (('imax', a
, ('ineg', a
)), ('iabs', a
), '!options->lower_iabs'),
551 (('~fmax', ('fabs', a
), 0.0), ('fabs', a
)),
552 (('fmin', ('fmax', a
, 0.0), 1.0), ('fsat', a
), '!options->lower_fsat'),
553 # fmax(fmin(a, 1.0), 0.0) is inexact because it returns 1.0 on NaN, while
554 # fsat(a) returns 0.0.
555 (('~fmax', ('fmin', a
, 1.0), 0.0), ('fsat', a
), '!options->lower_fsat'),
556 # fmin(fmax(a, -1.0), 0.0) is inexact because it returns -1.0 on NaN, while
557 # fneg(fsat(fneg(a))) returns -0.0 on NaN.
558 (('~fmin', ('fmax', a
, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a
))), '!options->lower_fsat'),
559 # fmax(fmin(a, 0.0), -1.0) is inexact because it returns 0.0 on NaN, while
560 # fneg(fsat(fneg(a))) returns -0.0 on NaN. This only matters if
561 # SignedZeroInfNanPreserve is set, but we don't currently have any way of
562 # representing this in the optimizations other than the usual ~.
563 (('~fmax', ('fmin', a
, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a
))), '!options->lower_fsat'),
564 (('fsat', ('fsign', a
)), ('b2f', ('flt', 0.0, a
))),
565 (('fsat', ('b2f', a
)), ('b2f', a
)),
566 (('fsat', a
), ('fmin', ('fmax', a
, 0.0), 1.0), 'options->lower_fsat'),
567 (('fsat', ('fsat', a
)), ('fsat', a
)),
568 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, b
))), ('fsat', ('fadd', ('fneg', a
), ('fneg', b
))), '!options->lower_fsat'),
569 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a
, b
))), ('fsat', ('fmul', ('fneg', a
), b
)), '!options->lower_fsat'),
570 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a
, b
))), ('fsat', ('fmul', ('fabs', a
), ('fabs', b
))), '!options->lower_fsat'),
571 (('fmin', ('fmax', ('fmin', ('fmax', a
, b
), c
), b
), c
), ('fmin', ('fmax', a
, b
), c
)),
572 (('imin', ('imax', ('imin', ('imax', a
, b
), c
), b
), c
), ('imin', ('imax', a
, b
), c
)),
573 (('umin', ('umax', ('umin', ('umax', a
, b
), c
), b
), c
), ('umin', ('umax', a
, b
), c
)),
574 # Both the left and right patterns are "b" when isnan(a), so this is exact.
575 (('fmax', ('fsat', a
), '#b(is_zero_to_one)'), ('fsat', ('fmax', a
, b
))),
576 # The left pattern is 0.0 when isnan(a) (because fmin(fsat(NaN), b) ->
577 # fmin(0.0, b)) while the right one is "b", so this optimization is inexact.
578 (('~fmin', ('fsat', a
), '#b(is_zero_to_one)'), ('fsat', ('fmin', a
, b
))),
580 # If a in [0,b] then b-a is also in [0,b]. Since b in [0,1], max(b-a, 0) =
583 # If a > b, then b-a < 0 and max(b-a, 0) = fsat(b-a) = 0
585 # This should be NaN safe since max(NaN, 0) = fsat(NaN) = 0.
586 (('fmax', ('fadd(is_used_once)', ('fneg', 'a(is_not_negative)'), '#b(is_zero_to_one)'), 0.0),
587 ('fsat', ('fadd', ('fneg', a
), b
)), '!options->lower_fsat'),
589 (('extract_u8', ('imin', ('imax', a
, 0), 0xff), 0), ('imin', ('imax', a
, 0), 0xff)),
590 (('~ior', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmax', b
, c
))),
591 (('~ior', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmin', a
, b
), c
)),
592 (('~ior', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmin', b
, c
))),
593 (('~ior', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmax', a
, b
), c
)),
594 (('~ior', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmax', b
, c
))),
595 (('~ior', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmin', a
, b
), c
)),
596 (('~ior', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmin', b
, c
))),
597 (('~ior', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmax', a
, b
), c
)),
598 (('~iand', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmin', b
, c
))),
599 (('~iand', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmax', a
, b
), c
)),
600 (('~iand', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmax', b
, c
))),
601 (('~iand', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmin', a
, b
), c
)),
602 (('~iand', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmin', b
, c
))),
603 (('~iand', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmax', a
, b
), c
)),
604 (('~iand', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmax', b
, c
))),
605 (('~iand', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmin', a
, b
), c
)),
607 (('ior', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imax', b
, c
))),
608 (('ior', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imin', a
, b
), c
)),
609 (('ior', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imin', b
, c
))),
610 (('ior', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imax', a
, b
), c
)),
611 (('ior', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umax', b
, c
))),
612 (('ior', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umin', a
, b
), c
)),
613 (('ior', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umin', b
, c
))),
614 (('ior', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umax', a
, b
), c
)),
615 (('iand', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imin', b
, c
))),
616 (('iand', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imax', a
, b
), c
)),
617 (('iand', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imax', b
, c
))),
618 (('iand', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imin', a
, b
), c
)),
619 (('iand', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umin', b
, c
))),
620 (('iand', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umax', a
, b
), c
)),
621 (('iand', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umax', b
, c
))),
622 (('iand', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umin', a
, b
), c
)),
624 # These derive from the previous patterns with the application of b < 0 <=>
625 # 0 < -b. The transformation should be applied if either comparison is
626 # used once as this ensures that the number of comparisons will not
627 # increase. The sources to the ior and iand are not symmetric, so the
628 # rules have to be duplicated to get this behavior.
629 (('~ior', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a
, ('fneg', b
)))),
630 (('~ior', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a
, ('fneg', b
)))),
631 (('~ior', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a
, ('fneg', b
)))),
632 (('~ior', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a
, ('fneg', b
)))),
633 (('~iand', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a
, ('fneg', b
)))),
634 (('~iand', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a
, ('fneg', b
)))),
635 (('~iand', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a
, ('fneg', b
)))),
636 (('~iand', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a
, ('fneg', b
)))),
638 # Common pattern like 'if (i == 0 || i == 1 || ...)'
639 (('ior', ('ieq', a
, 0), ('ieq', a
, 1)), ('uge', 1, a
)),
640 (('ior', ('uge', 1, a
), ('ieq', a
, 2)), ('uge', 2, a
)),
641 (('ior', ('uge', 2, a
), ('ieq', a
, 3)), ('uge', 3, a
)),
643 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
644 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
645 # so emit an open-coded version of that.
646 (('bcsel@32', ('feq', a
, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
647 ('ior', 0x3f800000, ('iand', a
, 0x80000000))),
649 (('ior', a
, ('ieq', a
, False)), True),
650 (('ior', a
, ('inot', a
)), -1),
652 (('ine', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))), ('ine', a
, b
)),
653 (('b2i', ('ine', 'a@1', 'b@1')), ('b2i', ('ixor', a
, b
))),
655 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('umax', a
, b
), 0)),
656 (('ior', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('umin', a
, b
), 0)),
657 (('iand', ('ine', 'a@32', 0), ('ine', 'b@32', 0)), ('ine', ('umin', a
, b
), 0)),
658 (('ior', ('ine', 'a@32', 0), ('ine', 'b@32', 0)), ('ine', ('umax', a
, b
), 0)),
660 # This pattern occurs coutresy of __flt64_nonnan in the soft-fp64 code.
661 # The first part of the iand comes from the !__feq64_nonnan.
663 # The second pattern is a reformulation of the first based on the relation
664 # (a == 0 || y == 0) <=> umin(a, y) == 0, where b in the first equation
665 # happens to be y == 0.
666 (('iand', ('inot', ('iand', ('ior', ('ieq', a
, 0), b
), c
)), ('ilt', a
, 0)),
667 ('iand', ('inot', ('iand', b
, c
)), ('ilt', a
, 0))),
668 (('iand', ('inot', ('iand', ('ieq', ('umin', a
, b
), 0), c
)), ('ilt', a
, 0)),
669 ('iand', ('inot', ('iand', ('ieq', b
, 0), c
)), ('ilt', a
, 0))),
671 # These patterns can result when (a < b || a < c) => (a < min(b, c))
672 # transformations occur before constant propagation and loop-unrolling.
673 (('~flt', a
, ('fmax', b
, a
)), ('flt', a
, b
)),
674 (('~flt', ('fmin', a
, b
), a
), ('flt', b
, a
)),
675 (('~fge', a
, ('fmin', b
, a
)), True),
676 (('~fge', ('fmax', a
, b
), a
), True),
677 (('~flt', a
, ('fmin', b
, a
)), False),
678 (('~flt', ('fmax', a
, b
), a
), False),
679 (('~fge', a
, ('fmax', b
, a
)), ('fge', a
, b
)),
680 (('~fge', ('fmin', a
, b
), a
), ('fge', b
, a
)),
682 (('ilt', a
, ('imax', b
, a
)), ('ilt', a
, b
)),
683 (('ilt', ('imin', a
, b
), a
), ('ilt', b
, a
)),
684 (('ige', a
, ('imin', b
, a
)), True),
685 (('ige', ('imax', a
, b
), a
), True),
686 (('ult', a
, ('umax', b
, a
)), ('ult', a
, b
)),
687 (('ult', ('umin', a
, b
), a
), ('ult', b
, a
)),
688 (('uge', a
, ('umin', b
, a
)), True),
689 (('uge', ('umax', a
, b
), a
), True),
690 (('ilt', a
, ('imin', b
, a
)), False),
691 (('ilt', ('imax', a
, b
), a
), False),
692 (('ige', a
, ('imax', b
, a
)), ('ige', a
, b
)),
693 (('ige', ('imin', a
, b
), a
), ('ige', b
, a
)),
694 (('ult', a
, ('umin', b
, a
)), False),
695 (('ult', ('umax', a
, b
), a
), False),
696 (('uge', a
, ('umax', b
, a
)), ('uge', a
, b
)),
697 (('uge', ('umin', a
, b
), a
), ('uge', b
, a
)),
698 (('ult', a
, ('iand', b
, a
)), False),
699 (('ult', ('ior', a
, b
), a
), False),
700 (('uge', a
, ('iand', b
, a
)), True),
701 (('uge', ('ior', a
, b
), a
), True),
703 (('ilt', '#a', ('imax', '#b', c
)), ('ior', ('ilt', a
, b
), ('ilt', a
, c
))),
704 (('ilt', ('imin', '#a', b
), '#c'), ('ior', ('ilt', a
, c
), ('ilt', b
, c
))),
705 (('ige', '#a', ('imin', '#b', c
)), ('ior', ('ige', a
, b
), ('ige', a
, c
))),
706 (('ige', ('imax', '#a', b
), '#c'), ('ior', ('ige', a
, c
), ('ige', b
, c
))),
707 (('ult', '#a', ('umax', '#b', c
)), ('ior', ('ult', a
, b
), ('ult', a
, c
))),
708 (('ult', ('umin', '#a', b
), '#c'), ('ior', ('ult', a
, c
), ('ult', b
, c
))),
709 (('uge', '#a', ('umin', '#b', c
)), ('ior', ('uge', a
, b
), ('uge', a
, c
))),
710 (('uge', ('umax', '#a', b
), '#c'), ('ior', ('uge', a
, c
), ('uge', b
, c
))),
711 (('ilt', '#a', ('imin', '#b', c
)), ('iand', ('ilt', a
, b
), ('ilt', a
, c
))),
712 (('ilt', ('imax', '#a', b
), '#c'), ('iand', ('ilt', a
, c
), ('ilt', b
, c
))),
713 (('ige', '#a', ('imax', '#b', c
)), ('iand', ('ige', a
, b
), ('ige', a
, c
))),
714 (('ige', ('imin', '#a', b
), '#c'), ('iand', ('ige', a
, c
), ('ige', b
, c
))),
715 (('ult', '#a', ('umin', '#b', c
)), ('iand', ('ult', a
, b
), ('ult', a
, c
))),
716 (('ult', ('umax', '#a', b
), '#c'), ('iand', ('ult', a
, c
), ('ult', b
, c
))),
717 (('uge', '#a', ('umax', '#b', c
)), ('iand', ('uge', a
, b
), ('uge', a
, c
))),
718 (('uge', ('umin', '#a', b
), '#c'), ('iand', ('uge', a
, c
), ('uge', b
, c
))),
720 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
722 (('bcsel', ('ilt', a
, 0), ('ineg', ('ishr', a
, b
)), ('ishr', a
, b
)),
723 ('iabs', ('ishr', a
, b
))),
724 (('iabs', ('ishr', ('iabs', a
), b
)), ('ishr', ('iabs', a
), b
)),
726 (('fabs', ('slt', a
, b
)), ('slt', a
, b
)),
727 (('fabs', ('sge', a
, b
)), ('sge', a
, b
)),
728 (('fabs', ('seq', a
, b
)), ('seq', a
, b
)),
729 (('fabs', ('sne', a
, b
)), ('sne', a
, b
)),
730 (('slt', a
, b
), ('b2f', ('flt', a
, b
)), 'options->lower_scmp'),
731 (('sge', a
, b
), ('b2f', ('fge', a
, b
)), 'options->lower_scmp'),
732 (('seq', a
, b
), ('b2f', ('feq', a
, b
)), 'options->lower_scmp'),
733 (('sne', a
, b
), ('b2f', ('fneu', a
, b
)), 'options->lower_scmp'),
734 (('seq', ('seq', a
, b
), 1.0), ('seq', a
, b
)),
735 (('seq', ('sne', a
, b
), 1.0), ('sne', a
, b
)),
736 (('seq', ('slt', a
, b
), 1.0), ('slt', a
, b
)),
737 (('seq', ('sge', a
, b
), 1.0), ('sge', a
, b
)),
738 (('sne', ('seq', a
, b
), 0.0), ('seq', a
, b
)),
739 (('sne', ('sne', a
, b
), 0.0), ('sne', a
, b
)),
740 (('sne', ('slt', a
, b
), 0.0), ('slt', a
, b
)),
741 (('sne', ('sge', a
, b
), 0.0), ('sge', a
, b
)),
742 (('seq', ('seq', a
, b
), 0.0), ('sne', a
, b
)),
743 (('seq', ('sne', a
, b
), 0.0), ('seq', a
, b
)),
744 (('seq', ('slt', a
, b
), 0.0), ('sge', a
, b
)),
745 (('seq', ('sge', a
, b
), 0.0), ('slt', a
, b
)),
746 (('sne', ('seq', a
, b
), 1.0), ('sne', a
, b
)),
747 (('sne', ('sne', a
, b
), 1.0), ('seq', a
, b
)),
748 (('sne', ('slt', a
, b
), 1.0), ('sge', a
, b
)),
749 (('sne', ('sge', a
, b
), 1.0), ('slt', a
, b
)),
750 (('fall_equal2', a
, b
), ('fmin', ('seq', 'a.x', 'b.x'), ('seq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
751 (('fall_equal3', a
, b
), ('seq', ('fany_nequal3', a
, b
), 0.0), 'options->lower_vector_cmp'),
752 (('fall_equal4', a
, b
), ('seq', ('fany_nequal4', a
, b
), 0.0), 'options->lower_vector_cmp'),
753 (('fany_nequal2', a
, b
), ('fmax', ('sne', 'a.x', 'b.x'), ('sne', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
754 (('fany_nequal3', a
, b
), ('fsat', ('fdot3', ('sne', a
, b
), ('sne', a
, b
))), 'options->lower_vector_cmp'),
755 (('fany_nequal4', a
, b
), ('fsat', ('fdot4', ('sne', a
, b
), ('sne', a
, b
))), 'options->lower_vector_cmp'),
757 (('ball_iequal2', a
, b
), ('iand', ('ieq', 'a.x', 'b.x'), ('ieq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
758 (('ball_iequal3', a
, b
), ('iand', ('iand', ('ieq', 'a.x', 'b.x'), ('ieq', 'a.y', 'b.y')), ('ieq', 'a.z', 'b.z')), 'options->lower_vector_cmp'),
759 (('ball_iequal4', a
, b
), ('iand', ('iand', ('ieq', 'a.x', 'b.x'), ('ieq', 'a.y', 'b.y')), ('iand', ('ieq', 'a.z', 'b.z'), ('ieq', 'a.w', 'b.w'))), 'options->lower_vector_cmp'),
761 (('bany_inequal2', a
, b
), ('ior', ('ine', 'a.x', 'b.x'), ('ine', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
762 (('bany_inequal3', a
, b
), ('ior', ('ior', ('ine', 'a.x', 'b.x'), ('ine', 'a.y', 'b.y')), ('ine', 'a.z', 'b.z')), 'options->lower_vector_cmp'),
763 (('bany_inequal4', a
, b
), ('ior', ('ior', ('ine', 'a.x', 'b.x'), ('ine', 'a.y', 'b.y')), ('ior', ('ine', 'a.z', 'b.z'), ('ine', 'a.w', 'b.w'))), 'options->lower_vector_cmp'),
765 (('ball_fequal2', a
, b
), ('iand', ('feq', 'a.x', 'b.x'), ('feq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
766 (('ball_fequal3', a
, b
), ('iand', ('iand', ('feq', 'a.x', 'b.x'), ('feq', 'a.y', 'b.y')), ('feq', 'a.z', 'b.z')), 'options->lower_vector_cmp'),
767 (('ball_fequal4', a
, b
), ('iand', ('iand', ('feq', 'a.x', 'b.x'), ('feq', 'a.y', 'b.y')), ('iand', ('feq', 'a.z', 'b.z'), ('feq', 'a.w', 'b.w'))), 'options->lower_vector_cmp'),
769 (('bany_fnequal2', a
, b
), ('ior', ('fneu', 'a.x', 'b.x'), ('fneu', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
770 (('bany_fnequal3', a
, b
), ('ior', ('ior', ('fneu', 'a.x', 'b.x'), ('fneu', 'a.y', 'b.y')), ('fneu', 'a.z', 'b.z')), 'options->lower_vector_cmp'),
771 (('bany_fnequal4', a
, b
), ('ior', ('ior', ('fneu', 'a.x', 'b.x'), ('fneu', 'a.y', 'b.y')), ('ior', ('fneu', 'a.z', 'b.z'), ('fneu', 'a.w', 'b.w'))), 'options->lower_vector_cmp'),
773 (('fneu', ('fneg', a
), a
), ('fneu', a
, 0.0)),
774 (('feq', ('fneg', a
), a
), ('feq', a
, 0.0)),
776 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a
, b
))),
777 (('iand', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a
, b
))),
778 (('ior', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('ior', a
, b
))),
779 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
780 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a
, b
))),
781 (('iand', 'a@bool32', 1.0), ('b2f', a
)),
782 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
783 (('ineg', ('b2i32', 'a@32')), a
),
784 (('flt', ('fneg', ('b2f', 'a@1')), 0), a
), # Generated by TGSI KILL_IF.
785 # Comparison with the same args. Note that these are not done for
786 # the float versions because NaN always returns false on float
788 (('ilt', a
, a
), False),
789 (('ige', a
, a
), True),
790 (('ieq', a
, a
), True),
791 (('ine', a
, a
), False),
792 (('ult', a
, a
), False),
793 (('uge', a
, a
), True),
794 # Logical and bit operations
796 (('iand', a
, ~
0), a
),
800 (('ior', a
, True), True),
803 (('inot', ('inot', a
)), a
),
804 (('ior', ('iand', a
, b
), b
), b
),
805 (('ior', ('ior', a
, b
), b
), ('ior', a
, b
)),
806 (('iand', ('ior', a
, b
), b
), b
),
807 (('iand', ('iand', a
, b
), b
), ('iand', a
, b
)),
809 (('iand', ('inot', a
), ('inot', b
)), ('inot', ('ior', a
, b
))),
810 (('ior', ('inot', a
), ('inot', b
)), ('inot', ('iand', a
, b
))),
811 # Shift optimizations
818 (('ior', ('ishl@16', a
, b
), ('ushr@16', a
, ('iadd', 16, ('ineg', b
)))), ('urol', a
, b
), '!options->lower_rotate'),
819 (('ior', ('ishl@16', a
, b
), ('ushr@16', a
, ('isub', 16, b
))), ('urol', a
, b
), '!options->lower_rotate'),
820 (('ior', ('ishl@32', a
, b
), ('ushr@32', a
, ('iadd', 32, ('ineg', b
)))), ('urol', a
, b
), '!options->lower_rotate'),
821 (('ior', ('ishl@32', a
, b
), ('ushr@32', a
, ('isub', 32, b
))), ('urol', a
, b
), '!options->lower_rotate'),
822 (('ior', ('ushr@16', a
, b
), ('ishl@16', a
, ('iadd', 16, ('ineg', b
)))), ('uror', a
, b
), '!options->lower_rotate'),
823 (('ior', ('ushr@16', a
, b
), ('ishl@16', a
, ('isub', 16, b
))), ('uror', a
, b
), '!options->lower_rotate'),
824 (('ior', ('ushr@32', a
, b
), ('ishl@32', a
, ('iadd', 32, ('ineg', b
)))), ('uror', a
, b
), '!options->lower_rotate'),
825 (('ior', ('ushr@32', a
, b
), ('ishl@32', a
, ('isub', 32, b
))), ('uror', a
, b
), '!options->lower_rotate'),
826 (('urol@16', a
, b
), ('ior', ('ishl', a
, b
), ('ushr', a
, ('isub', 16, b
))), 'options->lower_rotate'),
827 (('urol@32', a
, b
), ('ior', ('ishl', a
, b
), ('ushr', a
, ('isub', 32, b
))), 'options->lower_rotate'),
828 (('uror@16', a
, b
), ('ior', ('ushr', a
, b
), ('ishl', a
, ('isub', 16, b
))), 'options->lower_rotate'),
829 (('uror@32', a
, b
), ('ior', ('ushr', a
, b
), ('ishl', a
, ('isub', 32, b
))), 'options->lower_rotate'),
830 # Exponential/logarithmic identities
831 (('~fexp2', ('flog2', a
)), a
), # 2^lg2(a) = a
832 (('~flog2', ('fexp2', a
)), a
), # lg2(2^a) = a
833 (('fpow', a
, b
), ('fexp2', ('fmul', ('flog2', a
), b
)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
834 (('~fexp2', ('fmul', ('flog2', a
), b
)), ('fpow', a
, b
), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
835 (('~fexp2', ('fadd', ('fmul', ('flog2', a
), b
), ('fmul', ('flog2', c
), d
))),
836 ('~fmul', ('fpow', a
, b
), ('fpow', c
, d
)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
837 (('~fexp2', ('fmul', ('flog2', a
), 0.5)), ('fsqrt', a
)),
838 (('~fexp2', ('fmul', ('flog2', a
), 2.0)), ('fmul', a
, a
)),
839 (('~fexp2', ('fmul', ('flog2', a
), 4.0)), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
840 (('~fpow', a
, 1.0), a
),
841 (('~fpow', a
, 2.0), ('fmul', a
, a
)),
842 (('~fpow', a
, 4.0), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
843 (('~fpow', 2.0, a
), ('fexp2', a
)),
844 (('~fpow', ('fpow', a
, 2.2), 0.454545), a
),
845 (('~fpow', ('fabs', ('fpow', a
, 2.2)), 0.454545), ('fabs', a
)),
846 (('~fsqrt', ('fexp2', a
)), ('fexp2', ('fmul', 0.5, a
))),
847 (('~frcp', ('fexp2', a
)), ('fexp2', ('fneg', a
))),
848 (('~frsq', ('fexp2', a
)), ('fexp2', ('fmul', -0.5, a
))),
849 (('~flog2', ('fsqrt', a
)), ('fmul', 0.5, ('flog2', a
))),
850 (('~flog2', ('frcp', a
)), ('fneg', ('flog2', a
))),
851 (('~flog2', ('frsq', a
)), ('fmul', -0.5, ('flog2', a
))),
852 (('~flog2', ('fpow', a
, b
)), ('fmul', b
, ('flog2', a
))),
853 (('~fmul', ('fexp2(is_used_once)', a
), ('fexp2(is_used_once)', b
)), ('fexp2', ('fadd', a
, b
))),
854 (('bcsel', ('flt', a
, 0.0), 0.0, ('fsqrt', a
)), ('fsqrt', ('fmax', a
, 0.0))),
855 (('~fmul', ('fsqrt', a
), ('fsqrt', a
)), ('fabs',a
)),
856 # Division and reciprocal
857 (('~fdiv', 1.0, a
), ('frcp', a
)),
858 (('fdiv', a
, b
), ('fmul', a
, ('frcp', b
)), 'options->lower_fdiv'),
859 (('~frcp', ('frcp', a
)), a
),
860 (('~frcp', ('fsqrt', a
)), ('frsq', a
)),
861 (('fsqrt', a
), ('frcp', ('frsq', a
)), 'options->lower_fsqrt'),
862 (('~frcp', ('frsq', a
)), ('fsqrt', a
), '!options->lower_fsqrt'),
864 (('fsin', a
), lowered_sincos(0.5), 'options->lower_sincos'),
865 (('fcos', a
), lowered_sincos(0.75), 'options->lower_sincos'),
866 # Boolean simplifications
867 (('i2b32(is_used_by_if)', a
), ('ine32', a
, 0)),
868 (('i2b1(is_used_by_if)', a
), ('ine', a
, 0)),
869 (('ieq', a
, True), a
),
870 (('ine(is_not_used_by_if)', a
, True), ('inot', a
)),
871 (('ine', a
, False), a
),
872 (('ieq(is_not_used_by_if)', a
, False), ('inot', 'a')),
873 (('bcsel', a
, True, False), a
),
874 (('bcsel', a
, False, True), ('inot', a
)),
875 (('bcsel', a
, 1.0, 0.0), ('b2f', a
)),
876 (('bcsel', a
, 0.0, 1.0), ('b2f', ('inot', a
))),
877 (('bcsel', a
, -1.0, -0.0), ('fneg', ('b2f', a
))),
878 (('bcsel', a
, -0.0, -1.0), ('fneg', ('b2f', ('inot', a
)))),
879 (('bcsel', True, b
, c
), b
),
880 (('bcsel', False, b
, c
), c
),
881 (('bcsel', a
, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a
, b
, c
))),
883 (('bcsel', a
, b
, b
), b
),
884 (('~fcsel', a
, b
, b
), b
),
886 # D3D Boolean emulation
887 (('bcsel', a
, -1, 0), ('ineg', ('b2i', 'a@1'))),
888 (('bcsel', a
, 0, -1), ('ineg', ('b2i', ('inot', a
)))),
889 (('bcsel', a
, 1, 0), ('b2i', 'a@1')),
890 (('bcsel', a
, 0, 1), ('b2i', ('inot', a
))),
891 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
892 ('ineg', ('b2i', ('iand', a
, b
)))),
893 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
894 ('ineg', ('b2i', ('ior', a
, b
)))),
895 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a
)),
896 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a
),
897 (('ine', ('ineg', ('b2i', 'a@1')), 0), a
),
898 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a
)),
899 (('iand', ('ineg', ('b2i', a
)), 1.0), ('b2f', a
)),
900 (('iand', ('ineg', ('b2i', a
)), 1), ('b2i', a
)),
902 # SM5 32-bit shifts are defined to use the 5 least significant bits
903 (('ishl', 'a@32', ('iand', 31, b
)), ('ishl', a
, b
)),
904 (('ishr', 'a@32', ('iand', 31, b
)), ('ishr', a
, b
)),
905 (('ushr', 'a@32', ('iand', 31, b
)), ('ushr', a
, b
)),
908 (('i2b32', ('b2i', 'a@32')), a
),
909 (('f2i', ('ftrunc', a
)), ('f2i', a
)),
910 (('f2u', ('ftrunc', a
)), ('f2u', a
)),
911 (('i2b', ('ineg', a
)), ('i2b', a
)),
912 (('i2b', ('iabs', a
)), ('i2b', a
)),
913 (('inot', ('f2b1', a
)), ('feq', a
, 0.0)),
915 # The C spec says, "If the value of the integral part cannot be represented
916 # by the integer type, the behavior is undefined." "Undefined" can mean
917 # "the conversion doesn't happen at all."
918 (('~i2f32', ('f2i32', 'a@32')), ('ftrunc', a
)),
920 # Ironically, mark these as imprecise because removing the conversions may
921 # preserve more precision than doing the conversions (e.g.,
922 # uint(float(0x81818181u)) == 0x81818200).
923 (('~f2i32', ('i2f', 'a@32')), a
),
924 (('~f2i32', ('u2f', 'a@32')), a
),
925 (('~f2u32', ('i2f', 'a@32')), a
),
926 (('~f2u32', ('u2f', 'a@32')), a
),
928 # Conversions from 16 bits to 32 bits and back can always be removed
929 (('f2f16', ('f2f32', 'a@16')), a
),
930 (('f2fmp', ('f2f32', 'a@16')), a
),
931 (('i2i16', ('i2i32', 'a@16')), a
),
932 (('i2imp', ('i2i32', 'a@16')), a
),
933 (('u2u16', ('u2u32', 'a@16')), a
),
934 (('u2ump', ('u2u32', 'a@16')), a
),
935 (('f2f16', ('b2f32', 'a@1')), ('b2f16', a
)),
936 (('f2fmp', ('b2f32', 'a@1')), ('b2f16', a
)),
937 (('i2i16', ('b2i32', 'a@1')), ('b2i16', a
)),
938 (('i2imp', ('b2i32', 'a@1')), ('b2i16', a
)),
939 (('u2u16', ('b2i32', 'a@1')), ('b2i16', a
)),
940 (('u2ump', ('b2i32', 'a@1')), ('b2i16', a
)),
941 # Conversions to 16 bits would be lossy so they should only be removed if
942 # the instruction was generated by the precision lowering pass.
943 (('f2f32', ('f2fmp', 'a@32')), a
),
944 (('i2i32', ('i2imp', 'a@32')), a
),
945 (('u2u32', ('u2ump', 'a@32')), a
),
947 (('ffloor', 'a(is_integral)'), a
),
948 (('fceil', 'a(is_integral)'), a
),
949 (('ftrunc', 'a(is_integral)'), a
),
950 # fract(x) = x - floor(x), so fract(NaN) = NaN
951 (('~ffract', 'a(is_integral)'), 0.0),
952 (('fabs', 'a(is_not_negative)'), a
),
953 (('iabs', 'a(is_not_negative)'), a
),
954 (('fsat', 'a(is_not_positive)'), 0.0),
956 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
959 # It is undefined to convert a negative floating-point value to an
962 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
963 # some optimizations in the i965 backend to proceed.
964 (('ige', ('f2u', a
), b
), ('ige', ('f2i', a
), b
)),
965 (('ige', b
, ('f2u', a
)), ('ige', b
, ('f2i', a
))),
966 (('ilt', ('f2u', a
), b
), ('ilt', ('f2i', a
), b
)),
967 (('ilt', b
, ('f2u', a
)), ('ilt', b
, ('f2i', a
))),
969 (('~fmin', 'a(is_not_negative)', 1.0), ('fsat', a
), '!options->lower_fsat'),
971 # The result of the multiply must be in [-1, 0], so the result of the ffma
973 (('flt', ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0), 0.0), False),
974 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0), 0.0), False),
975 (('fmax', ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0)),
976 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0)),
978 (('fneu', 'a(is_not_zero)', 0.0), True),
979 (('feq', 'a(is_not_zero)', 0.0), False),
981 # In this chart, + means value > 0 and - means value < 0.
983 # + >= + -> unknown 0 >= + -> false - >= + -> false
984 # + >= 0 -> true 0 >= 0 -> true - >= 0 -> false
985 # + >= - -> true 0 >= - -> true - >= - -> unknown
987 # Using grouping conceptually similar to a Karnaugh map...
989 # (+ >= 0, + >= -, 0 >= 0, 0 >= -) == (is_not_negative >= is_not_positive) -> true
990 # (0 >= +, - >= +) == (is_not_positive >= gt_zero) -> false
991 # (- >= +, - >= 0) == (lt_zero >= is_not_negative) -> false
993 # The flt / ilt cases just invert the expected result.
995 # The results expecting true, must be marked imprecise. The results
996 # expecting false are fine because NaN compared >= or < anything is false.
998 (('~fge', 'a(is_not_negative)', 'b(is_not_positive)'), True),
999 (('fge', 'a(is_not_positive)', 'b(is_gt_zero)'), False),
1000 (('fge', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
1002 (('flt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
1003 (('~flt', 'a(is_not_positive)', 'b(is_gt_zero)'), True),
1004 (('~flt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
1006 (('ine', 'a(is_not_zero)', 0), True),
1007 (('ieq', 'a(is_not_zero)', 0), False),
1009 (('ige', 'a(is_not_negative)', 'b(is_not_positive)'), True),
1010 (('ige', 'a(is_not_positive)', 'b(is_gt_zero)'), False),
1011 (('ige', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
1013 (('ilt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
1014 (('ilt', 'a(is_not_positive)', 'b(is_gt_zero)'), True),
1015 (('ilt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
1017 (('ult', 0, 'a(is_gt_zero)'), True),
1018 (('ult', a
, 0), False),
1020 # Packing and then unpacking does nothing
1021 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a
, b
)), a
),
1022 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a
, b
)), b
),
1023 (('unpack_64_2x32', ('pack_64_2x32_split', a
, b
)), ('vec2', a
, b
)),
1024 (('unpack_64_2x32', ('pack_64_2x32', a
)), a
),
1025 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a
),
1026 ('unpack_64_2x32_split_y', a
)), a
),
1027 (('pack_64_2x32', ('vec2', ('unpack_64_2x32_split_x', a
),
1028 ('unpack_64_2x32_split_y', a
))), a
),
1029 (('pack_64_2x32', ('unpack_64_2x32', a
)), a
),
1031 # Comparing two halves of an unpack separately. While this optimization
1032 # should be correct for non-constant values, it's less obvious that it's
1033 # useful in that case. For constant values, the pack will fold and we're
1034 # guaranteed to reduce the whole tree to one instruction.
1035 (('iand', ('ieq', ('unpack_32_2x16_split_x', a
), '#b'),
1036 ('ieq', ('unpack_32_2x16_split_y', a
), '#c')),
1037 ('ieq', a
, ('pack_32_2x16_split', b
, c
))),
1040 (('ushr', 'a@16', 8), ('extract_u8', a
, 1), '!options->lower_extract_byte'),
1041 (('ushr', 'a@32', 24), ('extract_u8', a
, 3), '!options->lower_extract_byte'),
1042 (('ushr', 'a@64', 56), ('extract_u8', a
, 7), '!options->lower_extract_byte'),
1043 (('ishr', 'a@16', 8), ('extract_i8', a
, 1), '!options->lower_extract_byte'),
1044 (('ishr', 'a@32', 24), ('extract_i8', a
, 3), '!options->lower_extract_byte'),
1045 (('ishr', 'a@64', 56), ('extract_i8', a
, 7), '!options->lower_extract_byte'),
1046 (('iand', 0xff, a
), ('extract_u8', a
, 0), '!options->lower_extract_byte'),
1048 (('ubfe', a
, 0, 8), ('extract_u8', a
, 0), '!options->lower_extract_byte'),
1049 (('ubfe', a
, 8, 8), ('extract_u8', a
, 1), '!options->lower_extract_byte'),
1050 (('ubfe', a
, 16, 8), ('extract_u8', a
, 2), '!options->lower_extract_byte'),
1051 (('ubfe', a
, 24, 8), ('extract_u8', a
, 3), '!options->lower_extract_byte'),
1052 (('ibfe', a
, 0, 8), ('extract_i8', a
, 0), '!options->lower_extract_byte'),
1053 (('ibfe', a
, 8, 8), ('extract_i8', a
, 1), '!options->lower_extract_byte'),
1054 (('ibfe', a
, 16, 8), ('extract_i8', a
, 2), '!options->lower_extract_byte'),
1055 (('ibfe', a
, 24, 8), ('extract_i8', a
, 3), '!options->lower_extract_byte'),
1058 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a
, 0), '!options->lower_extract_word'),
1059 (('ushr', 'a@32', 16), ('extract_u16', a
, 1), '!options->lower_extract_word'),
1060 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a
, 0), '!options->lower_extract_word'),
1061 (('ishr', 'a@32', 16), ('extract_i16', a
, 1), '!options->lower_extract_word'),
1062 (('iand', 0xffff, a
), ('extract_u16', a
, 0), '!options->lower_extract_word'),
1064 (('ubfe', a
, 0, 16), ('extract_u16', a
, 0), '!options->lower_extract_word'),
1065 (('ubfe', a
, 16, 16), ('extract_u16', a
, 1), '!options->lower_extract_word'),
1066 (('ibfe', a
, 0, 16), ('extract_i16', a
, 0), '!options->lower_extract_word'),
1067 (('ibfe', a
, 16, 16), ('extract_i16', a
, 1), '!options->lower_extract_word'),
1070 (('pack_64_2x32_split', a
, b
), ('ior', ('u2u64', a
), ('ishl', ('u2u64', b
), 32)), 'options->lower_pack_64_2x32_split'),
1071 (('pack_32_2x16_split', a
, b
), ('ior', ('u2u32', a
), ('ishl', ('u2u32', b
), 16)), 'options->lower_pack_32_2x16_split'),
1072 (('unpack_64_2x32_split_x', a
), ('u2u32', a
), 'options->lower_unpack_64_2x32_split'),
1073 (('unpack_64_2x32_split_y', a
), ('u2u32', ('ushr', a
, 32)), 'options->lower_unpack_64_2x32_split'),
1074 (('unpack_32_2x16_split_x', a
), ('u2u16', a
), 'options->lower_unpack_32_2x16_split'),
1075 (('unpack_32_2x16_split_y', a
), ('u2u16', ('ushr', a
, 16)), 'options->lower_unpack_32_2x16_split'),
1077 # Useless masking before unpacking
1078 (('unpack_half_2x16_split_x', ('iand', a
, 0xffff)), ('unpack_half_2x16_split_x', a
)),
1079 (('unpack_32_2x16_split_x', ('iand', a
, 0xffff)), ('unpack_32_2x16_split_x', a
)),
1080 (('unpack_64_2x32_split_x', ('iand', a
, 0xffffffff)), ('unpack_64_2x32_split_x', a
)),
1081 (('unpack_half_2x16_split_y', ('iand', a
, 0xffff0000)), ('unpack_half_2x16_split_y', a
)),
1082 (('unpack_32_2x16_split_y', ('iand', a
, 0xffff0000)), ('unpack_32_2x16_split_y', a
)),
1083 (('unpack_64_2x32_split_y', ('iand', a
, 0xffffffff00000000)), ('unpack_64_2x32_split_y', a
)),
1085 (('unpack_half_2x16_split_x', ('extract_u16', a
, 0)), ('unpack_half_2x16_split_x', a
)),
1086 (('unpack_half_2x16_split_x', ('extract_u16', a
, 1)), ('unpack_half_2x16_split_y', a
)),
1087 (('unpack_32_2x16_split_x', ('extract_u16', a
, 0)), ('unpack_32_2x16_split_x', a
)),
1088 (('unpack_32_2x16_split_x', ('extract_u16', a
, 1)), ('unpack_32_2x16_split_y', a
)),
1090 # Optimize half packing
1091 (('ishl', ('pack_half_2x16', ('vec2', a
, 0)), 16), ('pack_half_2x16', ('vec2', 0, a
))),
1092 (('ushr', ('pack_half_2x16', ('vec2', 0, a
)), 16), ('pack_half_2x16', ('vec2', a
, 0))),
1094 (('iadd', ('pack_half_2x16', ('vec2', a
, 0)), ('pack_half_2x16', ('vec2', 0, b
))),
1095 ('pack_half_2x16', ('vec2', a
, b
))),
1096 (('ior', ('pack_half_2x16', ('vec2', a
, 0)), ('pack_half_2x16', ('vec2', 0, b
))),
1097 ('pack_half_2x16', ('vec2', a
, b
))),
1099 (('ishl', ('pack_half_2x16_split', a
, 0), 16), ('pack_half_2x16_split', 0, a
)),
1100 (('ushr', ('pack_half_2x16_split', 0, a
), 16), ('pack_half_2x16_split', a
, 0)),
1101 (('extract_u16', ('pack_half_2x16_split', 0, a
), 1), ('pack_half_2x16_split', a
, 0)),
1103 (('iadd', ('pack_half_2x16_split', a
, 0), ('pack_half_2x16_split', 0, b
)), ('pack_half_2x16_split', a
, b
)),
1104 (('ior', ('pack_half_2x16_split', a
, 0), ('pack_half_2x16_split', 0, b
)), ('pack_half_2x16_split', a
, b
)),
1107 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
1108 # patterns like those below.
1109 for op
in ('ushr', 'ishr'):
1110 optimizations
.extend([(('extract_u8', (op
, 'a@16', 8), 0), ('extract_u8', a
, 1))])
1111 optimizations
.extend([(('extract_u8', (op
, 'a@32', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 4)])
1112 optimizations
.extend([(('extract_u8', (op
, 'a@64', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 8)])
1114 optimizations
.extend([(('extract_u8', ('extract_u16', a
, 1), 0), ('extract_u8', a
, 2))])
1116 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
1117 # patterns like those below.
1118 for op
in ('extract_u8', 'extract_i8'):
1119 optimizations
.extend([((op
, ('ishl', 'a@16', 8), 1), (op
, a
, 0))])
1120 optimizations
.extend([((op
, ('ishl', 'a@32', 24 - 8 * i
), 3), (op
, a
, i
)) for i
in range(2, -1, -1)])
1121 optimizations
.extend([((op
, ('ishl', 'a@64', 56 - 8 * i
), 7), (op
, a
, i
)) for i
in range(6, -1, -1)])
1123 optimizations
.extend([
1125 (('ussub_4x8', a
, 0), a
),
1126 (('ussub_4x8', a
, ~
0), 0),
1127 # Lower all Subtractions first - they can get recombined later
1128 (('fsub', a
, b
), ('fadd', a
, ('fneg', b
))),
1129 (('isub', a
, b
), ('iadd', a
, ('ineg', b
))),
1130 (('uabs_usub', a
, b
), ('bcsel', ('ult', a
, b
), ('ineg', ('isub', a
, b
)), ('isub', a
, b
))),
1131 # This is correct. We don't need isub_sat because the result type is unsigned, so it cannot overflow.
1132 (('uabs_isub', a
, b
), ('bcsel', ('ilt', a
, b
), ('ineg', ('isub', a
, b
)), ('isub', a
, b
))),
1134 # Propagate negation up multiplication chains
1135 (('fmul(is_used_by_non_fsat)', ('fneg', a
), b
), ('fneg', ('fmul', a
, b
))),
1136 (('imul', ('ineg', a
), b
), ('ineg', ('imul', a
, b
))),
1138 # Propagate constants up multiplication chains
1139 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a
, c
), b
)),
1140 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a
, c
), b
)),
1141 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a
, c
), b
)),
1142 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a
, c
), b
)),
1144 # Reassociate constants in add/mul chains so they can be folded together.
1145 # For now, we mostly only handle cases where the constants are separated by
1146 # a single non-constant. We could do better eventually.
1147 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a
, c
), b
)),
1148 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a
, c
), b
)),
1149 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a
, c
), b
)),
1150 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a
, ('fneg', c
)), ('fneg', b
))),
1151 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a
, c
), b
)),
1152 (('iand', '#a', ('iand', 'b(is_not_const)', '#c')), ('iand', ('iand', a
, c
), b
)),
1153 (('ior', '#a', ('ior', 'b(is_not_const)', '#c')), ('ior', ('ior', a
, c
), b
)),
1154 (('ixor', '#a', ('ixor', 'b(is_not_const)', '#c')), ('ixor', ('ixor', a
, c
), b
)),
1156 # Drop mul-div by the same value when there's no wrapping.
1157 (('idiv', ('imul(no_signed_wrap)', a
, b
), b
), a
),
1160 (('bcsel', ('ige', ('find_lsb', a
), 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
1161 (('bcsel', ('ige', ('ifind_msb', a
), 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
1162 (('bcsel', ('ige', ('ufind_msb', a
), 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
1164 (('bcsel', ('ine', a
, 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
1165 (('bcsel', ('ine', a
, 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
1166 (('bcsel', ('ine', a
, 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
1168 (('bcsel', ('ine', a
, -1), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
1170 (('~fmul', ('bcsel(is_used_once)', c
, -1.0, 1.0), b
), ('bcsel', c
, ('fneg', b
), b
)),
1171 (('~fmul', ('bcsel(is_used_once)', c
, 1.0, -1.0), b
), ('bcsel', c
, b
, ('fneg', b
))),
1172 (('~bcsel', ('flt', a
, 0.0), ('fneg', a
), a
), ('fabs', a
)),
1174 (('bcsel', a
, ('bcsel', b
, c
, d
), d
), ('bcsel', ('iand', a
, b
), c
, d
)),
1175 (('bcsel', a
, b
, ('bcsel', c
, b
, d
)), ('bcsel', ('ior', a
, c
), b
, d
)),
1178 (('fmod', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod'),
1179 (('frem', a
, b
), ('fsub', a
, ('fmul', b
, ('ftrunc', ('fdiv', a
, b
)))), 'options->lower_fmod'),
1180 (('uadd_carry', a
, b
), ('b2i', ('ult', ('iadd', a
, b
), a
)), 'options->lower_uadd_carry'),
1181 (('usub_borrow@32', a
, b
), ('b2i', ('ult', a
, b
)), 'options->lower_usub_borrow'),
1183 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1184 ('bcsel', ('ult', 31, 'bits'), 'insert',
1185 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
1186 'options->lower_bitfield_insert'),
1187 (('ihadd', a
, b
), ('iadd', ('iand', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
1188 (('uhadd', a
, b
), ('iadd', ('iand', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
1189 (('irhadd', a
, b
), ('isub', ('ior', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
1190 (('urhadd', a
, b
), ('isub', ('ior', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
1191 (('ihadd@64', a
, b
), ('iadd', ('iand', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1192 (('uhadd@64', a
, b
), ('iadd', ('iand', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1193 (('irhadd@64', a
, b
), ('isub', ('ior', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1194 (('urhadd@64', a
, b
), ('isub', ('ior', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd64 || (options->lower_int64_options & nir_lower_iadd64) != 0'),
1196 (('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'),
1197 (('uadd_sat', a
, b
), ('bcsel', ('ult', ('iadd', a
, b
), a
), -1, ('iadd', a
, b
)), 'options->lower_add_sat'),
1198 (('usub_sat', a
, b
), ('bcsel', ('ult', a
, b
), 0, ('isub', a
, b
)), 'options->lower_add_sat'),
1199 (('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'),
1201 # int64_t sum = a + b;
1203 # if (a < 0 && b < 0 && a < sum)
1205 # } else if (a >= 0 && b >= 0 && sum < a)
1209 # A couple optimizations are applied.
1211 # 1. a < sum => sum >= 0. This replacement works because it is known that
1212 # a < 0 and b < 0, so sum should also be < 0 unless there was
1215 # 2. sum < a => sum < 0. This replacement works because it is known that
1216 # a >= 0 and b >= 0, so sum should also be >= 0 unless there was
1219 # 3. Invert the second if-condition and swap the order of parameters for
1220 # the bcsel. !(a >= 0 && b >= 0 && sum < 0) becomes !(a >= 0) || !(b >=
1221 # 0) || !(sum < 0), and that becomes (a < 0) || (b < 0) || (sum >= 0)
1223 # On Intel Gen11, this saves ~11 instructions.
1224 (('iadd_sat@64', a
, b
), ('bcsel',
1225 ('iand', ('iand', ('ilt', a
, 0), ('ilt', b
, 0)), ('ige', ('iadd', a
, b
), 0)),
1228 ('ior', ('ior', ('ilt', a
, 0), ('ilt', b
, 0)), ('ige', ('iadd', a
, b
), 0)),
1230 0x7fffffffffffffff)),
1231 '(options->lower_int64_options & nir_lower_iadd64) != 0'),
1233 # int64_t sum = a - b;
1235 # if (a < 0 && b >= 0 && a < sum)
1237 # } else if (a >= 0 && b < 0 && a >= sum)
1241 # Optimizations similar to the iadd_sat case are applied here.
1242 (('isub_sat@64', a
, b
), ('bcsel',
1243 ('iand', ('iand', ('ilt', a
, 0), ('ige', b
, 0)), ('ige', ('isub', a
, b
), 0)),
1246 ('ior', ('ior', ('ilt', a
, 0), ('ige', b
, 0)), ('ige', ('isub', a
, b
), 0)),
1248 0x7fffffffffffffff)),
1249 '(options->lower_int64_options & nir_lower_iadd64) != 0'),
1251 # These are done here instead of in the backend because the int64 lowering
1252 # pass will make a mess of the patterns. The first patterns are
1253 # conditioned on nir_lower_minmax64 because it was not clear that it was
1254 # always an improvement on platforms that have real int64 support. No
1255 # shaders in shader-db hit this, so it was hard to say one way or the
1257 (('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'),
1258 (('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'),
1259 (('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'),
1260 (('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'),
1261 (('ilt', 'a@64', 0), ('ilt', ('unpack_64_2x32_split_y', a
), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1262 (('ige', 'a@64', 0), ('ige', ('unpack_64_2x32_split_y', a
), 0), '(options->lower_int64_options & nir_lower_icmp64) != 0'),
1264 (('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'),
1265 (('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'),
1266 # 0u < uint(a) <=> uint(a) != 0u
1267 (('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'),
1269 # Alternative lowering that doesn't rely on bfi.
1270 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1271 ('bcsel', ('ult', 31, 'bits'),
1274 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
1275 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))))),
1276 'options->lower_bitfield_insert_to_shifts'),
1278 # Alternative lowering that uses bitfield_select.
1279 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
1280 ('bcsel', ('ult', 31, 'bits'), 'insert',
1281 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
1282 'options->lower_bitfield_insert_to_bitfield_select'),
1284 (('ibitfield_extract', 'value', 'offset', 'bits'),
1285 ('bcsel', ('ult', 31, 'bits'), 'value',
1286 ('ibfe', 'value', 'offset', 'bits')),
1287 'options->lower_bitfield_extract'),
1289 (('ubitfield_extract', 'value', 'offset', 'bits'),
1290 ('bcsel', ('ult', 31, 'bits'), 'value',
1291 ('ubfe', 'value', 'offset', 'bits')),
1292 'options->lower_bitfield_extract'),
1294 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
1295 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
1296 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
1297 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
1298 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
1299 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
1300 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
1302 # Section 8.8 (Integer Functions) of the GLSL 4.60 spec says:
1304 # If bits is zero, the result will be zero.
1306 # These patterns prevent other patterns from generating invalid results
1307 # when count is zero.
1308 (('ubfe', a
, b
, 0), 0),
1309 (('ibfe', a
, b
, 0), 0),
1311 (('ubfe', a
, 0, '#b'), ('iand', a
, ('ushr', 0xffffffff, ('ineg', b
)))),
1313 (('b2i32', ('i2b', ('ubfe', a
, b
, 1))), ('ubfe', a
, b
, 1)),
1314 (('b2i32', ('i2b', ('ibfe', a
, b
, 1))), ('ubfe', a
, b
, 1)), # ubfe in the replacement is correct
1315 (('ine', ('ibfe(is_used_once)', a
, '#b', '#c'), 0), ('ine', ('iand', a
, ('ishl', ('ushr', 0xffffffff, ('ineg', c
)), b
)), 0)),
1316 (('ieq', ('ibfe(is_used_once)', a
, '#b', '#c'), 0), ('ieq', ('iand', a
, ('ishl', ('ushr', 0xffffffff, ('ineg', c
)), b
)), 0)),
1317 (('ine', ('ubfe(is_used_once)', a
, '#b', '#c'), 0), ('ine', ('iand', a
, ('ishl', ('ushr', 0xffffffff, ('ineg', c
)), b
)), 0)),
1318 (('ieq', ('ubfe(is_used_once)', a
, '#b', '#c'), 0), ('ieq', ('iand', a
, ('ishl', ('ushr', 0xffffffff, ('ineg', c
)), b
)), 0)),
1320 (('ibitfield_extract', 'value', 'offset', 'bits'),
1321 ('bcsel', ('ieq', 0, 'bits'),
1324 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
1325 ('isub', 32, 'bits'))),
1326 'options->lower_bitfield_extract_to_shifts'),
1328 (('ubitfield_extract', 'value', 'offset', 'bits'),
1330 ('ushr', 'value', 'offset'),
1331 ('bcsel', ('ieq', 'bits', 32),
1333 ('isub', ('ishl', 1, 'bits'), 1))),
1334 'options->lower_bitfield_extract_to_shifts'),
1336 (('ifind_msb', 'value'),
1337 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
1338 'options->lower_ifind_msb'),
1340 (('find_lsb', 'value'),
1341 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
1342 'options->lower_find_lsb'),
1344 (('extract_i8', a
, 'b@32'),
1345 ('ishr', ('ishl', a
, ('imul', ('isub', 3, b
), 8)), 24),
1346 'options->lower_extract_byte'),
1348 (('extract_u8', a
, 'b@32'),
1349 ('iand', ('ushr', a
, ('imul', b
, 8)), 0xff),
1350 'options->lower_extract_byte'),
1352 (('extract_i16', a
, 'b@32'),
1353 ('ishr', ('ishl', a
, ('imul', ('isub', 1, b
), 16)), 16),
1354 'options->lower_extract_word'),
1356 (('extract_u16', a
, 'b@32'),
1357 ('iand', ('ushr', a
, ('imul', b
, 16)), 0xffff),
1358 'options->lower_extract_word'),
1360 (('pack_unorm_2x16', 'v'),
1361 ('pack_uvec2_to_uint',
1362 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
1363 'options->lower_pack_unorm_2x16'),
1365 (('pack_unorm_4x8', 'v'),
1366 ('pack_uvec4_to_uint',
1367 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
1368 'options->lower_pack_unorm_4x8'),
1370 (('pack_snorm_2x16', 'v'),
1371 ('pack_uvec2_to_uint',
1372 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
1373 'options->lower_pack_snorm_2x16'),
1375 (('pack_snorm_4x8', 'v'),
1376 ('pack_uvec4_to_uint',
1377 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
1378 'options->lower_pack_snorm_4x8'),
1380 (('unpack_unorm_2x16', 'v'),
1381 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
1382 ('extract_u16', 'v', 1))),
1384 'options->lower_unpack_unorm_2x16'),
1386 (('unpack_unorm_4x8', 'v'),
1387 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
1388 ('extract_u8', 'v', 1),
1389 ('extract_u8', 'v', 2),
1390 ('extract_u8', 'v', 3))),
1392 'options->lower_unpack_unorm_4x8'),
1394 (('unpack_snorm_2x16', 'v'),
1395 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
1396 ('extract_i16', 'v', 1))),
1398 'options->lower_unpack_snorm_2x16'),
1400 (('unpack_snorm_4x8', 'v'),
1401 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
1402 ('extract_i8', 'v', 1),
1403 ('extract_i8', 'v', 2),
1404 ('extract_i8', 'v', 3))),
1406 'options->lower_unpack_snorm_4x8'),
1408 (('pack_half_2x16_split', 'a@32', 'b@32'),
1409 ('ior', ('ishl', ('u2u32', ('f2f16', b
)), 16), ('u2u32', ('f2f16', a
))),
1410 'options->lower_pack_split'),
1412 (('unpack_half_2x16_split_x', 'a@32'),
1413 ('f2f32', ('u2u16', a
)),
1414 'options->lower_pack_split'),
1416 (('unpack_half_2x16_split_y', 'a@32'),
1417 ('f2f32', ('u2u16', ('ushr', a
, 16))),
1418 'options->lower_pack_split'),
1420 (('pack_32_2x16_split', 'a@16', 'b@16'),
1421 ('ior', ('ishl', ('u2u32', b
), 16), ('u2u32', a
)),
1422 'options->lower_pack_split'),
1424 (('unpack_32_2x16_split_x', 'a@32'),
1426 'options->lower_pack_split'),
1428 (('unpack_32_2x16_split_y', 'a@32'),
1429 ('u2u16', ('ushr', 'a', 16)),
1430 'options->lower_pack_split'),
1432 (('isign', a
), ('imin', ('imax', a
, -1), 1), 'options->lower_isign'),
1433 (('imin', ('imax', a
, -1), 1), ('isign', a
), '!options->lower_isign'),
1434 (('imax', ('imin', a
, 1), -1), ('isign', a
), '!options->lower_isign'),
1435 (('fsign', a
), ('fsub', ('b2f', ('flt', 0.0, a
)), ('b2f', ('flt', a
, 0.0))), 'options->lower_fsign'),
1436 (('fadd', ('b2f32', ('flt', 0.0, 'a@32')), ('fneg', ('b2f32', ('flt', 'a@32', 0.0)))), ('fsign', a
), '!options->lower_fsign'),
1437 (('iadd', ('b2i32', ('flt', 0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0)))), ('f2i32', ('fsign', a
)), '!options->lower_fsign'),
1439 # Address/offset calculations:
1440 # Drivers supporting imul24 should use the nir_lower_amul() pass, this
1441 # rule converts everyone else to imul:
1442 (('amul', a
, b
), ('imul', a
, b
), '!options->has_imul24'),
1445 ('imul', ('iand', a
, 0xffffff), ('iand', b
, 0xffffff)),
1446 '!options->has_umul24'),
1447 (('umad24', a
, b
, c
),
1448 ('iadd', ('imul', ('iand', a
, 0xffffff), ('iand', b
, 0xffffff)), c
),
1449 '!options->has_umad24'),
1451 (('imad24_ir3', a
, b
, 0), ('imul24', a
, b
)),
1452 (('imad24_ir3', a
, 0, c
), (c
)),
1453 (('imad24_ir3', a
, 1, c
), ('iadd', a
, c
)),
1455 # if first two srcs are const, crack apart the imad so constant folding
1456 # can clean up the imul:
1457 # TODO ffma should probably get a similar rule:
1458 (('imad24_ir3', '#a', '#b', c
), ('iadd', ('imul', a
, b
), c
)),
1460 # These will turn 24b address/offset calc back into 32b shifts, but
1461 # it should be safe to get back some of the bits of precision that we
1462 # already decided were no necessary:
1463 (('imul24', a
, '#b@32(is_pos_power_of_two)'), ('ishl', a
, ('find_lsb', b
)), '!options->lower_bitops'),
1464 (('imul24', a
, '#b@32(is_neg_power_of_two)'), ('ineg', ('ishl', a
, ('find_lsb', ('iabs', b
)))), '!options->lower_bitops'),
1465 (('imul24', a
, 0), (0)),
1468 # bit_size dependent lowerings
1469 for bit_size
in [8, 16, 32, 64]:
1470 # convenience constants
1471 intmax
= (1 << (bit_size
- 1)) - 1
1472 intmin
= 1 << (bit_size
- 1)
1475 (('iadd_sat@' + str(bit_size
), a
, b
),
1476 ('bcsel', ('ige', b
, 1), ('bcsel', ('ilt', ('iadd', a
, b
), a
), intmax
, ('iadd', a
, b
)),
1477 ('bcsel', ('ilt', a
, ('iadd', a
, b
)), intmin
, ('iadd', a
, b
))), 'options->lower_add_sat'),
1478 (('isub_sat@' + str(bit_size
), a
, b
),
1479 ('bcsel', ('ilt', b
, 0), ('bcsel', ('ilt', ('isub', a
, b
), a
), intmax
, ('isub', a
, b
)),
1480 ('bcsel', ('ilt', a
, ('isub', a
, b
)), intmin
, ('isub', a
, b
))), 'options->lower_add_sat'),
1483 invert
= OrderedDict([('feq', 'fneu'), ('fneu', 'feq')])
1485 for left
, right
in itertools
.combinations_with_replacement(invert
.keys(), 2):
1486 optimizations
.append((('inot', ('ior(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
1487 ('iand', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
1488 optimizations
.append((('inot', ('iand(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
1489 ('ior', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
1491 # Optimize x2bN(b2x(x)) -> x
1492 for size
in type_sizes('bool'):
1493 aN
= 'a@' + str(size
)
1494 f2bN
= 'f2b' + str(size
)
1495 i2bN
= 'i2b' + str(size
)
1496 optimizations
.append(((f2bN
, ('b2f', aN
)), a
))
1497 optimizations
.append(((i2bN
, ('b2i', aN
)), a
))
1499 # Optimize x2yN(b2x(x)) -> b2y
1500 for x
, y
in itertools
.product(['f', 'u', 'i'], ['f', 'u', 'i']):
1501 if x
!= 'f' and y
!= 'f' and x
!= y
:
1504 b2x
= 'b2f' if x
== 'f' else 'b2i'
1505 b2y
= 'b2f' if y
== 'f' else 'b2i'
1506 x2yN
= '{}2{}'.format(x
, y
)
1507 optimizations
.append(((x2yN
, (b2x
, a
)), (b2y
, a
)))
1509 # Optimize away x2xN(a@N)
1510 for t
in ['int', 'uint', 'float', 'bool']:
1511 for N
in type_sizes(t
):
1512 x2xN
= '{0}2{0}{1}'.format(t
[0], N
)
1513 aN
= 'a@{0}'.format(N
)
1514 optimizations
.append(((x2xN
, aN
), a
))
1516 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
1517 # In particular, we can optimize away everything except upcast of downcast and
1518 # upcasts where the type differs from the other cast
1519 for N
, M
in itertools
.product(type_sizes('uint'), type_sizes('uint')):
1521 # The outer cast is a down-cast. It doesn't matter what the size of the
1522 # argument of the inner cast is because we'll never been in the upcast
1523 # of downcast case. Regardless of types, we'll always end up with y2yN
1525 for x
, y
in itertools
.product(['i', 'u'], ['i', 'u']):
1526 x2xN
= '{0}2{0}{1}'.format(x
, N
)
1527 y2yM
= '{0}2{0}{1}'.format(y
, M
)
1528 y2yN
= '{0}2{0}{1}'.format(y
, N
)
1529 optimizations
.append(((x2xN
, (y2yM
, a
)), (y2yN
, a
)))
1531 # If the outer cast is an up-cast, we have to be more careful about the
1532 # size of the argument of the inner cast and with types. In this case,
1533 # the type is always the type of type up-cast which is given by the
1535 for P
in type_sizes('uint'):
1536 # We can't optimize away up-cast of down-cast.
1540 # Because we're doing down-cast of down-cast, the types always have
1541 # to match between the two casts
1542 for x
in ['i', 'u']:
1543 x2xN
= '{0}2{0}{1}'.format(x
, N
)
1544 x2xM
= '{0}2{0}{1}'.format(x
, M
)
1545 aP
= 'a@{0}'.format(P
)
1546 optimizations
.append(((x2xN
, (x2xM
, aP
)), (x2xN
, a
)))
1548 # The N == M case is handled by other optimizations
1551 # Downcast operations should be able to see through pack
1552 for t
in ['i', 'u']:
1553 for N
in [8, 16, 32]:
1554 x2xN
= '{0}2{0}{1}'.format(t
, N
)
1556 ((x2xN
, ('pack_64_2x32_split', a
, b
)), (x2xN
, a
)),
1557 ((x2xN
, ('pack_64_2x32_split', a
, b
)), (x2xN
, a
)),
1560 # Optimize comparisons with up-casts
1561 for t
in ['int', 'uint', 'float']:
1562 for N
, M
in itertools
.product(type_sizes(t
), repeat
=2):
1563 if N
== 1 or N
>= M
:
1568 cond
= 'options->support_8bit_alu'
1570 cond
= 'options->support_16bit_alu'
1571 x2xM
= '{0}2{0}{1}'.format(t
[0], M
)
1572 x2xN
= '{0}2{0}{1}'.format(t
[0], N
)
1575 xeq
= 'feq' if t
== 'float' else 'ieq'
1576 xne
= 'fneu' if t
== 'float' else 'ine'
1577 xge
= '{0}ge'.format(t
[0])
1578 xlt
= '{0}lt'.format(t
[0])
1580 # Up-casts are lossless so for correctly signed comparisons of
1581 # up-casted values we can do the comparison at the largest of the two
1582 # original sizes and drop one or both of the casts. (We have
1583 # optimizations to drop the no-op casts which this may generate.)
1584 for P
in type_sizes(t
):
1590 ((xeq
, (x2xM
, aN
), (x2xM
, bP
)), (xeq
, a
, (x2xN
, b
)), cond
),
1591 ((xne
, (x2xM
, aN
), (x2xM
, bP
)), (xne
, a
, (x2xN
, b
)), cond
),
1592 ((xge
, (x2xM
, aN
), (x2xM
, bP
)), (xge
, a
, (x2xN
, b
)), cond
),
1593 ((xlt
, (x2xM
, aN
), (x2xM
, bP
)), (xlt
, a
, (x2xN
, b
)), cond
),
1594 ((xge
, (x2xM
, bP
), (x2xM
, aN
)), (xge
, (x2xN
, b
), a
), cond
),
1595 ((xlt
, (x2xM
, bP
), (x2xM
, aN
)), (xlt
, (x2xN
, b
), a
), cond
),
1598 # The next bit doesn't work on floats because the range checks would
1599 # get way too complicated.
1600 if t
in ['int', 'uint']:
1602 xN_min
= -(1 << (N
- 1))
1603 xN_max
= (1 << (N
- 1)) - 1
1606 xN_max
= (1 << N
) - 1
1610 # If we're up-casting and comparing to a constant, we can unfold
1611 # the comparison into a comparison with the shrunk down constant
1612 # and a check that the constant fits in the smaller bit size.
1614 ((xeq
, (x2xM
, aN
), '#b'),
1615 ('iand', (xeq
, a
, (x2xN
, b
)), (xeq
, (x2xM
, (x2xN
, b
)), b
)), cond
),
1616 ((xne
, (x2xM
, aN
), '#b'),
1617 ('ior', (xne
, a
, (x2xN
, b
)), (xne
, (x2xM
, (x2xN
, b
)), b
)), cond
),
1618 ((xlt
, (x2xM
, aN
), '#b'),
1619 ('iand', (xlt
, xN_min
, b
),
1620 ('ior', (xlt
, xN_max
, b
), (xlt
, a
, (x2xN
, b
)))), cond
),
1621 ((xlt
, '#a', (x2xM
, bN
)),
1622 ('iand', (xlt
, a
, xN_max
),
1623 ('ior', (xlt
, a
, xN_min
), (xlt
, (x2xN
, a
), b
))), cond
),
1624 ((xge
, (x2xM
, aN
), '#b'),
1625 ('iand', (xge
, xN_max
, b
),
1626 ('ior', (xge
, xN_min
, b
), (xge
, a
, (x2xN
, b
)))), cond
),
1627 ((xge
, '#a', (x2xM
, bN
)),
1628 ('iand', (xge
, a
, xN_min
),
1629 ('ior', (xge
, a
, xN_max
), (xge
, (x2xN
, a
), b
))), cond
),
1632 # Convert masking followed by signed downcast to just unsigned downcast
1634 (('i2i32', ('iand', 'a@64', 0xffffffff)), ('u2u32', a
)),
1635 (('i2i16', ('iand', 'a@32', 0xffff)), ('u2u16', a
)),
1636 (('i2i16', ('iand', 'a@64', 0xffff)), ('u2u16', a
)),
1637 (('i2i8', ('iand', 'a@16', 0xff)), ('u2u8', a
)),
1638 (('i2i8', ('iand', 'a@32', 0xff)), ('u2u8', a
)),
1639 (('i2i8', ('iand', 'a@64', 0xff)), ('u2u8', a
)),
1642 def fexp2i(exp
, bits
):
1643 # Generate an expression which constructs value 2.0^exp or 0.0.
1645 # We assume that exp is already in a valid range:
1647 # * [-15, 15] for 16-bit float
1648 # * [-127, 127] for 32-bit float
1649 # * [-1023, 1023] for 16-bit float
1651 # If exp is the lowest value in the valid range, a value of 0.0 is
1652 # constructed. Otherwise, the value 2.0^exp is constructed.
1654 return ('i2i16', ('ishl', ('iadd', exp
, 15), 10))
1656 return ('ishl', ('iadd', exp
, 127), 23)
1658 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp
, 1023), 20))
1662 def ldexp(f
, exp
, bits
):
1663 # The maximum possible range for a normal exponent is [-126, 127] and,
1664 # throwing in denormals, you get a maximum range of [-149, 127]. This
1665 # means that we can potentially have a swing of +-276. If you start with
1666 # FLT_MAX, you actually have to do ldexp(FLT_MAX, -278) to get it to flush
1667 # all the way to zero. The GLSL spec only requires that we handle a subset
1668 # of this range. From version 4.60 of the spec:
1670 # "If exp is greater than +128 (single-precision) or +1024
1671 # (double-precision), the value returned is undefined. If exp is less
1672 # than -126 (single-precision) or -1022 (double-precision), the value
1673 # returned may be flushed to zero. Additionally, splitting the value
1674 # into a significand and exponent using frexp() and then reconstructing
1675 # a floating-point value using ldexp() should yield the original input
1676 # for zero and all finite non-denormalized values."
1678 # The SPIR-V spec has similar language.
1680 # In order to handle the maximum value +128 using the fexp2i() helper
1681 # above, we have to split the exponent in half and do two multiply
1684 # First, we clamp exp to a reasonable range. Specifically, we clamp to
1685 # twice the full range that is valid for the fexp2i() function above. If
1686 # exp/2 is the bottom value of that range, the fexp2i() expression will
1687 # yield 0.0f which, when multiplied by f, will flush it to zero which is
1688 # allowed by the GLSL and SPIR-V specs for low exponent values. If the
1689 # value is clamped from above, then it must have been above the supported
1690 # range of the GLSL built-in and therefore any return value is acceptable.
1692 exp
= ('imin', ('imax', exp
, -30), 30)
1694 exp
= ('imin', ('imax', exp
, -254), 254)
1696 exp
= ('imin', ('imax', exp
, -2046), 2046)
1700 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1701 # (We use ishr which isn't the same for -1, but the -1 case still works
1702 # since we use exp-exp/2 as the second exponent.) While the spec
1703 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1704 # work with denormals and doesn't allow for the full swing in exponents
1705 # that you can get with normalized values. Instead, we create two powers
1706 # of two and multiply by them each in turn. That way the effective range
1707 # of our exponent is doubled.
1708 pow2_1
= fexp2i(('ishr', exp
, 1), bits
)
1709 pow2_2
= fexp2i(('isub', exp
, ('ishr', exp
, 1)), bits
)
1710 return ('fmul', ('fmul', f
, pow2_1
), pow2_2
)
1713 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1714 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1715 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1718 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1719 def bitfield_reverse(u
):
1720 step1
= ('ior', ('ishl', u
, 16), ('ushr', u
, 16))
1721 step2
= ('ior', ('ishl', ('iand', step1
, 0x00ff00ff), 8), ('ushr', ('iand', step1
, 0xff00ff00), 8))
1722 step3
= ('ior', ('ishl', ('iand', step2
, 0x0f0f0f0f), 4), ('ushr', ('iand', step2
, 0xf0f0f0f0), 4))
1723 step4
= ('ior', ('ishl', ('iand', step3
, 0x33333333), 2), ('ushr', ('iand', step3
, 0xcccccccc), 2))
1724 step5
= ('ior(many-comm-expr)', ('ishl', ('iand', step4
, 0x55555555), 1), ('ushr', ('iand', step4
, 0xaaaaaaaa), 1))
1728 optimizations
+= [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'), '!options->lower_bitfield_reverse')]
1730 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1731 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1732 # and, if a is a NaN then the second comparison will fail anyway.
1733 for op
in ['flt', 'fge', 'feq']:
1735 (('iand', ('feq', a
, a
), (op
, a
, b
)), ('!' + op
, a
, b
)),
1736 (('iand', ('feq', a
, a
), (op
, b
, a
)), ('!' + op
, b
, a
)),
1739 # Add optimizations to handle the case where the result of a ternary is
1740 # compared to a constant. This way we can take things like
1746 # a ? (0 > 0) : (1 > 0)
1748 # which constant folding will eat for lunch. The resulting ternary will
1749 # further get cleaned up by the boolean reductions above and we will be
1750 # left with just the original variable "a".
1751 for op
in ['flt', 'fge', 'feq', 'fneu',
1752 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1754 ((op
, ('bcsel', 'a', '#b', '#c'), '#d'),
1755 ('bcsel', 'a', (op
, 'b', 'd'), (op
, 'c', 'd'))),
1756 ((op
, '#d', ('bcsel', a
, '#b', '#c')),
1757 ('bcsel', 'a', (op
, 'd', 'b'), (op
, 'd', 'c'))),
1761 # For example, this converts things like
1763 # 1 + mix(0, a - 1, condition)
1767 # mix(1, (a-1)+1, condition)
1769 # Other optimizations will rearrange the constants.
1770 for op
in ['fadd', 'fmul', 'iadd', 'imul']:
1772 ((op
, ('bcsel(is_used_once)', a
, '#b', c
), '#d'), ('bcsel', a
, (op
, b
, d
), (op
, c
, d
)))
1775 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1778 # If neither layout qualifier is specified, derivatives in compute shaders
1779 # return zero, which is consistent with the handling of built-in texture
1780 # functions like texture() in GLSL 4.50 compute shaders.
1781 for op
in ['fddx', 'fddx_fine', 'fddx_coarse',
1782 'fddy', 'fddy_fine', 'fddy_coarse']:
1784 ((op
, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1787 # Some optimizations for ir3-specific instructions.
1789 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1790 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1791 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1792 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1793 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1796 # These kinds of sequences can occur after nir_opt_peephole_select.
1798 # NOTE: fadd is not handled here because that gets in the way of ffma
1799 # generation in the i965 driver. Instead, fadd and ffma are handled in
1800 # late_optimizations.
1804 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
, d
), (op
, b
, c
, e
)), (op
, b
, c
, ('bcsel', a
, d
, e
))),
1805 (('bcsel', a
, (op
, b
, c
, d
), (op
+ '(is_used_once)', b
, c
, e
)), (op
, b
, c
, ('bcsel', a
, d
, e
))),
1806 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
, d
), (op
, b
, e
, d
)), (op
, b
, ('bcsel', a
, c
, e
), d
)),
1807 (('bcsel', a
, (op
, b
, c
, d
), (op
+ '(is_used_once)', b
, e
, d
)), (op
, b
, ('bcsel', a
, c
, e
), d
)),
1808 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
, d
), (op
, e
, c
, d
)), (op
, ('bcsel', a
, b
, e
), c
, d
)),
1809 (('bcsel', a
, (op
, b
, c
, d
), (op
+ '(is_used_once)', e
, c
, d
)), (op
, ('bcsel', a
, b
, e
), c
, d
)),
1812 for op
in ['fmul', 'iadd', 'imul', 'iand', 'ior', 'ixor', 'fmin', 'fmax', 'imin', 'imax', 'umin', 'umax']:
1814 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
), (op
, b
, 'd(is_not_const)')), (op
, b
, ('bcsel', a
, c
, d
))),
1815 (('bcsel', a
, (op
+ '(is_used_once)', b
, 'c(is_not_const)'), (op
, b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
1816 (('bcsel', a
, (op
, b
, 'c(is_not_const)'), (op
+ '(is_used_once)', b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
1817 (('bcsel', a
, (op
, b
, c
), (op
+ '(is_used_once)', b
, 'd(is_not_const)')), (op
, b
, ('bcsel', a
, c
, d
))),
1822 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
), (op
, b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
1823 (('bcsel', a
, (op
, b
, c
), (op
+ '(is_used_once)', b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
1824 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
), (op
, d
, c
)), (op
, ('bcsel', a
, b
, d
), c
)),
1825 (('bcsel', a
, (op
, b
, c
), (op
+ '(is_used_once)', d
, c
)), (op
, ('bcsel', a
, b
, d
), c
)),
1828 for op
in ['frcp', 'frsq', 'fsqrt', 'fexp2', 'flog2', 'fsign', 'fsin', 'fcos', 'fneg', 'fabs', 'fsign']:
1830 (('bcsel', c
, (op
+ '(is_used_once)', a
), (op
+ '(is_used_once)', b
)), (op
, ('bcsel', c
, a
, b
))),
1833 for op
in ['ineg', 'iabs', 'inot', 'isign']:
1835 ((op
, ('bcsel', c
, '#a', '#b')), ('bcsel', c
, (op
, a
), (op
, b
))),
1838 # This section contains optimizations to propagate downsizing conversions of
1839 # constructed vectors into vectors of downsized components. Whether this is
1840 # useful depends on the SIMD semantics of the backend. On a true SIMD machine,
1841 # this reduces the register pressure of the vector itself and often enables the
1842 # conversions to be eliminated via other algebraic rules or constant folding.
1843 # In the worst case on a SIMD architecture, the propagated conversions may be
1844 # revectorized via nir_opt_vectorize so instruction count is minimally
1847 # On a machine with SIMD-within-a-register only, this actually
1848 # counterintuitively hurts instruction count. These machines are the same that
1849 # require vectorize_vec2_16bit, so we predicate the optimizations on that flag
1852 # Finally for scalar architectures, there should be no difference in generated
1853 # code since it all ends up scalarized at the end, but it might minimally help
1856 for i
in range(2, 4 + 1):
1857 for T
in ('f', 'u', 'i'):
1858 vec_inst
= ('vec' + str(i
),)
1860 indices
= ['a', 'b', 'c', 'd']
1861 suffix_in
= tuple((indices
[j
] + '@32') for j
in range(i
))
1863 to_16
= '{}2{}16'.format(T
, T
)
1864 to_mp
= '{}2{}mp'.format(T
, T
)
1866 out_16
= tuple((to_16
, indices
[j
]) for j
in range(i
))
1867 out_mp
= tuple((to_mp
, indices
[j
]) for j
in range(i
))
1870 ((to_16
, vec_inst
+ suffix_in
), vec_inst
+ out_16
, '!options->vectorize_vec2_16bit'),
1871 ((to_mp
, vec_inst
+ suffix_in
), vec_inst
+ out_mp
, '!options->vectorize_vec2_16bit')
1874 # This section contains "late" optimizations that should be run before
1875 # creating ffmas and calling regular optimizations for the final time.
1876 # Optimizations should go here if they help code generation and conflict
1877 # with the regular optimizations.
1878 before_ffma_optimizations
= [
1879 # Propagate constants down multiplication chains
1880 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a
, c
), b
)),
1881 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a
, c
), b
)),
1882 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a
, c
), b
)),
1883 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a
, c
), b
)),
1885 (('~fadd', ('fmul', a
, b
), ('fmul', a
, c
)), ('fmul', a
, ('fadd', b
, c
))),
1886 (('iadd', ('imul', a
, b
), ('imul', a
, c
)), ('imul', a
, ('iadd', b
, c
))),
1887 (('~fadd', ('fneg', a
), a
), 0.0),
1888 (('iadd', ('ineg', a
), a
), 0),
1889 (('iadd', ('ineg', a
), ('iadd', a
, b
)), b
),
1890 (('iadd', a
, ('iadd', ('ineg', a
), b
)), b
),
1891 (('~fadd', ('fneg', a
), ('fadd', a
, b
)), b
),
1892 (('~fadd', a
, ('fadd', ('fneg', a
), b
)), b
),
1894 (('~flrp', ('fadd(is_used_once)', a
, -1.0), ('fadd(is_used_once)', a
, 1.0), d
), ('fadd', ('flrp', -1.0, 1.0, d
), a
)),
1895 (('~flrp', ('fadd(is_used_once)', a
, 1.0), ('fadd(is_used_once)', a
, -1.0), d
), ('fadd', ('flrp', 1.0, -1.0, d
), a
)),
1896 (('~flrp', ('fadd(is_used_once)', a
, '#b'), ('fadd(is_used_once)', a
, '#c'), d
), ('fadd', ('fmul', d
, ('fadd', c
, ('fneg', b
))), ('fadd', a
, b
))),
1899 # This section contains "late" optimizations that should be run after the
1900 # regular optimizations have finished. Optimizations should go here if
1901 # they help code generation but do not necessarily produce code that is
1902 # more easily optimizable.
1903 late_optimizations
= [
1904 # Most of these optimizations aren't quite safe when you get infinity or
1905 # Nan involved but the first one should be fine.
1906 (('flt', ('fadd', a
, b
), 0.0), ('flt', a
, ('fneg', b
))),
1907 (('flt', ('fneg', ('fadd', a
, b
)), 0.0), ('flt', ('fneg', a
), b
)),
1908 (('~fge', ('fadd', a
, b
), 0.0), ('fge', a
, ('fneg', b
))),
1909 (('~fge', ('fneg', ('fadd', a
, b
)), 0.0), ('fge', ('fneg', a
), b
)),
1910 (('~feq', ('fadd', a
, b
), 0.0), ('feq', a
, ('fneg', b
))),
1911 (('~fneu', ('fadd', a
, b
), 0.0), ('fneu', a
, ('fneg', b
))),
1913 # nir_lower_to_source_mods will collapse this, but its existence during the
1914 # optimization loop can prevent other optimizations.
1915 (('fneg', ('fneg', a
)), a
),
1917 # Subtractions get lowered during optimization, so we need to recombine them
1918 (('fadd', 'a', ('fneg', 'b')), ('fsub', 'a', 'b'), '!options->lower_sub'),
1919 (('iadd', 'a', ('ineg', 'b')), ('isub', 'a', 'b'), '!options->lower_sub'),
1920 (('fneg', a
), ('fsub', 0.0, a
), 'options->lower_negate'),
1921 (('ineg', a
), ('isub', 0, a
), 'options->lower_negate'),
1922 (('iabs', a
), ('imax', a
, ('ineg', a
)), 'options->lower_iabs'),
1924 # These are duplicated from the main optimizations table. The late
1925 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1926 # new patterns like these. The patterns that compare with zero are removed
1927 # because they are unlikely to be created in by anything in
1928 # late_optimizations.
1929 (('flt', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('flt', a
, b
)),
1930 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('flt', b
, a
)),
1931 (('fge', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fge', a
, b
)),
1932 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('fge', b
, a
)),
1933 (('feq', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('feq', a
, b
)),
1934 (('fneu', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fneu', a
, b
)),
1936 (('fge', ('fsat(is_used_once)', a
), 1.0), ('fge', a
, 1.0)),
1937 # flt(fsat(a), 1.0) is inexact because it returns True if a is NaN
1938 # (fsat(NaN) is 0), while flt(a, 1.0) always returns FALSE.
1939 (('~flt', ('fsat(is_used_once)', a
), 1.0), ('flt', a
, 1.0)),
1941 (('~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
)))),
1943 (('flt', ('fneg', a
), ('fneg', b
)), ('flt', b
, a
)),
1944 (('fge', ('fneg', a
), ('fneg', b
)), ('fge', b
, a
)),
1945 (('feq', ('fneg', a
), ('fneg', b
)), ('feq', b
, a
)),
1946 (('fneu', ('fneg', a
), ('fneg', b
)), ('fneu', b
, a
)),
1947 (('flt', ('fneg', a
), -1.0), ('flt', 1.0, a
)),
1948 (('flt', -1.0, ('fneg', a
)), ('flt', a
, 1.0)),
1949 (('fge', ('fneg', a
), -1.0), ('fge', 1.0, a
)),
1950 (('fge', -1.0, ('fneg', a
)), ('fge', a
, 1.0)),
1951 (('fneu', ('fneg', a
), -1.0), ('fneu', 1.0, a
)),
1952 (('feq', -1.0, ('fneg', a
)), ('feq', a
, 1.0)),
1955 (('iand', a
, a
), a
),
1957 (('iand', ('ine(is_used_once)', 'a@32', 0), ('ine', 'b@32', 0)), ('ine', ('umin', a
, b
), 0)),
1958 (('ior', ('ieq(is_used_once)', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('umin', a
, b
), 0)),
1960 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a
)))),
1962 (('fdot2', a
, b
), ('fdot_replicated2', a
, b
), 'options->fdot_replicates'),
1963 (('fdot3', a
, b
), ('fdot_replicated3', a
, b
), 'options->fdot_replicates'),
1964 (('fdot4', a
, b
), ('fdot_replicated4', a
, b
), 'options->fdot_replicates'),
1965 (('fdph', a
, b
), ('fdph_replicated', a
, b
), 'options->fdot_replicates'),
1967 (('~flrp', ('fadd(is_used_once)', a
, b
), ('fadd(is_used_once)', a
, c
), d
), ('fadd', ('flrp', b
, c
, d
), a
)),
1969 (('~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'),
1970 (('~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'),
1972 # A similar operation could apply to any ffma(#a, b, #(-a/2)), but this
1973 # particular operation is common for expanding values stored in a texture
1974 # from [0,1] to [-1,1].
1975 (('~ffma@32', a
, 2.0, -1.0), ('flrp', -1.0, 1.0, a
), '!options->lower_flrp32'),
1976 (('~ffma@32', a
, -2.0, -1.0), ('flrp', -1.0, 1.0, ('fneg', a
)), '!options->lower_flrp32'),
1977 (('~ffma@32', a
, -2.0, 1.0), ('flrp', 1.0, -1.0, a
), '!options->lower_flrp32'),
1978 (('~ffma@32', a
, 2.0, 1.0), ('flrp', 1.0, -1.0, ('fneg', a
)), '!options->lower_flrp32'),
1979 (('~fadd@32', ('fmul(is_used_once)', 2.0, a
), -1.0), ('flrp', -1.0, 1.0, a
), '!options->lower_flrp32'),
1980 (('~fadd@32', ('fmul(is_used_once)', -2.0, a
), -1.0), ('flrp', -1.0, 1.0, ('fneg', a
)), '!options->lower_flrp32'),
1981 (('~fadd@32', ('fmul(is_used_once)', -2.0, a
), 1.0), ('flrp', 1.0, -1.0, a
), '!options->lower_flrp32'),
1982 (('~fadd@32', ('fmul(is_used_once)', 2.0, a
), 1.0), ('flrp', 1.0, -1.0, ('fneg', a
)), '!options->lower_flrp32'),
1986 # a + -a*a + a*b (1)
1988 # Option 1: ffma(a, (b-a), a)
1990 # Alternately, after (1):
1996 # Option 2: ffma(a, 2, -(a*a))
1997 # Option 3: ffma(a, 2, (-a)*a)
1998 # Option 4: ffma(a, -a, (2*a)
1999 # Option 5: a * (2 - a)
2001 # There are a lot of other possible combinations.
2002 (('~ffma@32', ('fadd', b
, ('fneg', a
)), a
, a
), ('flrp', a
, b
, a
), '!options->lower_flrp32'),
2003 (('~ffma@32', a
, 2.0, ('fneg', ('fmul', a
, a
))), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
2004 (('~ffma@32', a
, 2.0, ('fmul', ('fneg', a
), a
)), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
2005 (('~ffma@32', a
, ('fneg', a
), ('fmul', 2.0, a
)), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
2006 (('~fmul@32', a
, ('fadd', 2.0, ('fneg', a
))), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
2008 # we do these late so that we don't get in the way of creating ffmas
2009 (('fmin', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmin', a
, b
))),
2010 (('fmax', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmax', a
, b
))),
2012 (('bcsel', a
, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a
, b
)))),
2014 # Putting this in 'optimizations' interferes with the bcsel(a, op(b, c),
2015 # op(b, d)) => op(b, bcsel(a, c, d)) transformations. I do not know why.
2016 (('bcsel', ('feq', ('fsqrt', 'a(is_not_negative)'), 0.0), intBitsToFloat(0x7f7fffff), ('frsq', a
)),
2017 ('fmin', ('frsq', a
), intBitsToFloat(0x7f7fffff))),
2019 # Things that look like DPH in the source shader may get expanded to
2020 # something that looks like dot(v1.xyz, v2.xyz) + v1.w by the time it gets
2021 # to NIR. After FFMA is generated, this can look like:
2023 # fadd(ffma(v1.z, v2.z, ffma(v1.y, v2.y, fmul(v1.x, v2.x))), v1.w)
2025 # Reassociate the last addition into the first multiplication.
2027 # Some shaders do not use 'invariant' in vertex and (possibly) geometry
2028 # shader stages on some outputs that are intended to be invariant. For
2029 # various reasons, this optimization may not be fully applied in all
2030 # shaders used for different rendering passes of the same geometry. This
2031 # can result in Z-fighting artifacts (at best). For now, disable this
2032 # optimization in these stages. See bugzilla #111490. In tessellation
2033 # stages applications seem to use 'precise' when necessary, so allow the
2034 # optimization in those stages.
2035 (('~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)'),
2036 ('ffma', a
, b
, ('ffma', c
, d
, ('ffma', e
, 'f', 'g'))), '(info->stage != MESA_SHADER_VERTEX && info->stage != MESA_SHADER_GEOMETRY) && !options->intel_vec4'),
2037 (('~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)'),
2038 ('ffma', a
, b
, ('ffma', c
, d
, e
)), '(info->stage != MESA_SHADER_VERTEX && info->stage != MESA_SHADER_GEOMETRY) && !options->intel_vec4'),
2040 # Convert *2*mp instructions to concrete *2*16 instructions. At this point
2041 # any conversions that could have been removed will have been removed in
2042 # nir_opt_algebraic so any remaining ones are required.
2043 (('f2fmp', a
), ('f2f16', a
)),
2044 (('i2imp', a
), ('i2i16', a
)),
2045 (('u2ump', a
), ('u2u16', a
)),
2047 # Section 8.8 (Integer Functions) of the GLSL 4.60 spec says:
2049 # If bits is zero, the result will be zero.
2051 # These prevent the next two lowerings generating incorrect results when
2053 (('ubfe', a
, b
, 0), 0),
2054 (('ibfe', a
, b
, 0), 0),
2056 # On Intel GPUs, BFE is a 3-source instruction. Like all 3-source
2057 # instructions on Intel GPUs, it cannot have an immediate values as
2058 # sources. There are also limitations on source register strides. As a
2059 # result, it is very easy for 3-source instruction combined with either
2060 # loads of immediate values or copies from weird register strides to be
2061 # more expensive than the primitive instructions it represents.
2062 (('ubfe', a
, '#b', '#c'), ('iand', ('ushr', 0xffffffff, ('ineg', c
)), ('ushr', a
, b
)), 'options->lower_bfe_with_two_constants'),
2064 # b is the lowest order bit to be extracted and c is the number of bits to
2065 # extract. The inner shift removes the bits above b + c by shifting left
2066 # 32 - (b + c). ishl only sees the low 5 bits of the shift count, which is
2067 # -(b + c). The outer shift moves the bit that was at b to bit zero.
2068 # After the first shift, that bit is now at b + (32 - (b + c)) or 32 - c.
2069 # This means that it must be shifted right by 32 - c or -c bits.
2070 (('ibfe', a
, '#b', '#c'), ('ishr', ('ishl', a
, ('ineg', ('iadd', b
, c
))), ('ineg', c
)), 'options->lower_bfe_with_two_constants'),
2072 # Clean up no-op shifts that may result from the bfe lowerings.
2073 (('ishl', a
, 0), a
),
2074 (('ishl', a
, -32), a
),
2075 (('ishr', a
, 0), a
),
2076 (('ishr', a
, -32), a
),
2077 (('ushr', a
, 0), a
),
2081 late_optimizations
+= [
2082 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
), (op
, b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
2083 (('bcsel', a
, (op
, b
, c
), (op
+ '(is_used_once)', b
, d
)), (op
, b
, ('bcsel', a
, c
, d
))),
2087 late_optimizations
+= [
2088 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
, d
), (op
, b
, c
, e
)), (op
, b
, c
, ('bcsel', a
, d
, e
))),
2089 (('bcsel', a
, (op
, b
, c
, d
), (op
+ '(is_used_once)', b
, c
, e
)), (op
, b
, c
, ('bcsel', a
, d
, e
))),
2091 (('bcsel', a
, (op
+ '(is_used_once)', b
, c
, d
), (op
, b
, e
, d
)), (op
, b
, ('bcsel', a
, c
, e
), d
)),
2092 (('bcsel', a
, (op
, b
, c
, d
), (op
+ '(is_used_once)', b
, e
, d
)), (op
, b
, ('bcsel', a
, c
, e
), d
)),
2095 distribute_src_mods
= [
2096 # Try to remove some spurious negations rather than pushing them down.
2097 (('fmul', ('fneg', a
), ('fneg', b
)), ('fmul', a
, b
)),
2098 (('ffma', ('fneg', a
), ('fneg', b
), c
), ('ffma', a
, b
, c
)),
2099 (('fdot_replicated2', ('fneg', a
), ('fneg', b
)), ('fdot_replicated2', a
, b
)),
2100 (('fdot_replicated3', ('fneg', a
), ('fneg', b
)), ('fdot_replicated3', a
, b
)),
2101 (('fdot_replicated4', ('fneg', a
), ('fneg', b
)), ('fdot_replicated4', a
, b
)),
2102 (('fneg', ('fneg', a
)), a
),
2104 (('fneg', ('fmul(is_used_once)', a
, b
)), ('fmul', ('fneg', a
), b
)),
2105 (('fabs', ('fmul(is_used_once)', a
, b
)), ('fmul', ('fabs', a
), ('fabs', b
))),
2107 (('fneg', ('ffma(is_used_once)', a
, b
, c
)), ('ffma', ('fneg', a
), b
, ('fneg', c
))),
2108 (('fneg', ('flrp(is_used_once)', a
, b
, c
)), ('flrp', ('fneg', a
), ('fneg', b
), c
)),
2109 (('fneg', ('fadd(is_used_once)', a
, b
)), ('fadd', ('fneg', a
), ('fneg', b
))),
2111 # Note that fmin <-> fmax. I don't think there is a way to distribute
2112 # fabs() into fmin or fmax.
2113 (('fneg', ('fmin(is_used_once)', a
, b
)), ('fmax', ('fneg', a
), ('fneg', b
))),
2114 (('fneg', ('fmax(is_used_once)', a
, b
)), ('fmin', ('fneg', a
), ('fneg', b
))),
2116 (('fneg', ('fdot_replicated2(is_used_once)', a
, b
)), ('fdot_replicated2', ('fneg', a
), b
)),
2117 (('fneg', ('fdot_replicated3(is_used_once)', a
, b
)), ('fdot_replicated3', ('fneg', a
), b
)),
2118 (('fneg', ('fdot_replicated4(is_used_once)', a
, b
)), ('fdot_replicated4', ('fneg', a
), b
)),
2120 # fdph works mostly like fdot, but to get the correct result, the negation
2121 # must be applied to the second source.
2122 (('fneg', ('fdph_replicated(is_used_once)', a
, b
)), ('fdph_replicated', a
, ('fneg', b
))),
2124 (('fneg', ('fsign(is_used_once)', a
)), ('fsign', ('fneg', a
))),
2125 (('fabs', ('fsign(is_used_once)', a
)), ('fsign', ('fabs', a
))),
2128 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic", optimizations
).render())
2129 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_before_ffma",
2130 before_ffma_optimizations
).render())
2131 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_late",
2132 late_optimizations
).render())
2133 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_distribute_src_mods",
2134 distribute_src_mods
).render())