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