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
))),
229 # Care must be taken here. Shifts in NIR uses only the lower log2(bitsize)
230 # bits of the second source. These replacements must correctly handle the
231 # case where (b % bitsize) + (c % bitsize) >= bitsize.
232 for s
in [8, 16, 32, 64]:
235 ishl
= "ishl@{}".format(s
)
236 ishr
= "ishr@{}".format(s
)
237 ushr
= "ushr@{}".format(s
)
239 in_bounds
= ('ult', ('iadd', ('iand', b
, mask
), ('iand', c
, mask
)), s
)
241 optimizations
.extend([
242 ((ishl
, (ishl
, a
, '#b'), '#c'), ('bcsel', in_bounds
, (ishl
, a
, ('iadd', b
, c
)), 0)),
243 ((ushr
, (ushr
, a
, '#b'), '#c'), ('bcsel', in_bounds
, (ushr
, a
, ('iadd', b
, c
)), 0)),
245 # To get get -1 for large shifts of negative values, ishr must instead
246 # clamp the shift count to the maximum value.
247 ((ishr
, (ishr
, a
, '#b'), '#c'),
248 (ishr
, a
, ('imin', ('iadd', ('iand', b
, mask
), ('iand', c
, mask
)), s
- 1))),
251 optimizations
.extend([
252 # This is common for address calculations. Reassociating may enable the
253 # 'a<<c' to be CSE'd. It also helps architectures that have an ISHLADD
254 # instruction or a constant offset field for in load / store instructions.
255 (('ishl', ('iadd', a
, '#b'), '#c'), ('iadd', ('ishl', a
, c
), ('ishl', b
, c
))),
257 # Comparison simplifications
258 (('~inot', ('flt', a
, b
)), ('fge', a
, b
)),
259 (('~inot', ('fge', a
, b
)), ('flt', a
, b
)),
260 (('inot', ('feq', a
, b
)), ('fne', a
, b
)),
261 (('inot', ('fne', a
, b
)), ('feq', a
, b
)),
262 (('inot', ('ilt', a
, b
)), ('ige', a
, b
)),
263 (('inot', ('ult', a
, b
)), ('uge', a
, b
)),
264 (('inot', ('ige', a
, b
)), ('ilt', a
, b
)),
265 (('inot', ('uge', a
, b
)), ('ult', a
, b
)),
266 (('inot', ('ieq', a
, b
)), ('ine', a
, b
)),
267 (('inot', ('ine', a
, b
)), ('ieq', a
, b
)),
269 (('iand', ('feq', a
, b
), ('fne', a
, b
)), False),
270 (('iand', ('flt', a
, b
), ('flt', b
, a
)), False),
271 (('iand', ('ieq', a
, b
), ('ine', a
, b
)), False),
272 (('iand', ('ilt', a
, b
), ('ilt', b
, a
)), False),
273 (('iand', ('ult', a
, b
), ('ult', b
, a
)), False),
275 # This helps some shaders because, after some optimizations, they end up
276 # with patterns like (-a < -b) || (b < a). In an ideal world, this sort of
277 # matching would be handled by CSE.
278 (('flt', ('fneg', a
), ('fneg', b
)), ('flt', b
, a
)),
279 (('fge', ('fneg', a
), ('fneg', b
)), ('fge', b
, a
)),
280 (('feq', ('fneg', a
), ('fneg', b
)), ('feq', b
, a
)),
281 (('fne', ('fneg', a
), ('fneg', b
)), ('fne', b
, a
)),
282 (('flt', ('fneg', a
), -1.0), ('flt', 1.0, a
)),
283 (('flt', -1.0, ('fneg', a
)), ('flt', a
, 1.0)),
284 (('fge', ('fneg', a
), -1.0), ('fge', 1.0, a
)),
285 (('fge', -1.0, ('fneg', a
)), ('fge', a
, 1.0)),
286 (('fne', ('fneg', a
), -1.0), ('fne', 1.0, a
)),
287 (('feq', -1.0, ('fneg', a
)), ('feq', a
, 1.0)),
289 (('flt', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('flt', a
, b
)),
290 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('flt', b
, a
)),
291 (('fge', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fge', a
, b
)),
292 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('fge', b
, a
)),
293 (('feq', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('feq', a
, b
)),
294 (('fne', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fne', a
, b
)),
296 (('fge', ('fsat(is_used_once)', a
), 1.0), ('fge', a
, 1.0)),
297 (('flt', ('fsat(is_used_once)', a
), 1.0), ('flt', a
, 1.0)),
298 (('fge', 0.0, ('fsat(is_used_once)', a
)), ('fge', 0.0, a
)),
299 (('flt', 0.0, ('fsat(is_used_once)', a
)), ('flt', 0.0, a
)),
303 # b2f(a) == 0.0 because b2f(a) can only be 0 or 1
305 (('fge', 0.0, ('b2f', 'a@1')), ('inot', a
)),
307 (('fge', ('fneg', ('b2f', 'a@1')), 0.0), ('inot', a
)),
309 (('fne', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
310 (('fne', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('ior', a
, b
)),
311 (('fne', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('ior', a
, b
)),
312 (('fne', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('ior', a
, b
)),
313 (('fne', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
314 (('fne', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('iand', a
, b
)),
315 (('fne', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('iand', a
, b
)),
316 (('fne', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ixor', a
, b
)),
317 (('fne', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ixor', a
, b
)),
318 (('fne', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ixor', a
, b
)),
319 (('feq', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
320 (('feq', ('fmax', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('ior', a
, b
))),
321 (('feq', ('bcsel', a
, 1.0, ('b2f', 'b@1')) , 0.0), ('inot', ('ior', a
, b
))),
322 (('feq', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
323 (('feq', ('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
324 (('feq', ('fmin', ('b2f', 'a@1'), ('b2f', 'b@1')), 0.0), ('inot', ('iand', a
, b
))),
325 (('feq', ('bcsel', a
, ('b2f', 'b@1'), 0.0) , 0.0), ('inot', ('iand', a
, b
))),
326 (('feq', ('fadd', ('b2f', 'a@1'), ('fneg', ('b2f', 'b@1'))), 0.0), ('ieq', a
, b
)),
327 (('feq', ('b2f', 'a@1') , ('b2f', 'b@1') ), ('ieq', a
, b
)),
328 (('feq', ('fneg', ('b2f', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('ieq', a
, b
)),
330 # -(b2f(a) + b2f(b)) < 0
331 # 0 < b2f(a) + b2f(b)
332 # 0 != b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
334 (('flt', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('ior', a
, b
)),
335 (('flt', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('ior', a
, b
)),
337 # -(b2f(a) + b2f(b)) >= 0
338 # 0 >= b2f(a) + b2f(b)
339 # 0 == b2f(a) + b2f(b) b2f must be 0 or 1, so the sum is non-negative
341 (('fge', ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), 0.0), ('inot', ('ior', a
, b
))),
342 (('fge', 0.0, ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('inot', ('ior', a
, b
))),
344 (('flt', a
, ('fneg', a
)), ('flt', a
, 0.0)),
345 (('fge', a
, ('fneg', a
)), ('fge', a
, 0.0)),
347 # Some optimizations (below) convert things like (a < b || c < b) into
348 # (min(a, c) < b). However, this interfers with the previous optimizations
349 # that try to remove comparisons with negated sums of b2f. This just
351 (('flt', ('fmin', c
, ('fneg', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1')))), 0.0),
352 ('ior', ('flt', c
, 0.0), ('ior', a
, b
))),
354 (('~flt', ('fadd', a
, b
), a
), ('flt', b
, 0.0)),
355 (('~fge', ('fadd', a
, b
), a
), ('fge', b
, 0.0)),
356 (('~feq', ('fadd', a
, b
), a
), ('feq', b
, 0.0)),
357 (('~fne', ('fadd', a
, b
), a
), ('fne', b
, 0.0)),
358 (('~flt', ('fadd(is_used_once)', a
, '#b'), '#c'), ('flt', a
, ('fadd', c
, ('fneg', b
)))),
359 (('~flt', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('flt', ('fneg', ('fadd', c
, b
)), a
)),
360 (('~fge', ('fadd(is_used_once)', a
, '#b'), '#c'), ('fge', a
, ('fadd', c
, ('fneg', b
)))),
361 (('~fge', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('fge', ('fneg', ('fadd', c
, b
)), a
)),
362 (('~feq', ('fadd(is_used_once)', a
, '#b'), '#c'), ('feq', a
, ('fadd', c
, ('fneg', b
)))),
363 (('~feq', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('feq', ('fneg', ('fadd', c
, b
)), a
)),
364 (('~fne', ('fadd(is_used_once)', a
, '#b'), '#c'), ('fne', a
, ('fadd', c
, ('fneg', b
)))),
365 (('~fne', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, '#b')), '#c'), ('fne', ('fneg', ('fadd', c
, b
)), a
)),
367 # Cannot remove the addition from ilt or ige due to overflow.
368 (('ieq', ('iadd', a
, b
), a
), ('ieq', b
, 0)),
369 (('ine', ('iadd', a
, b
), a
), ('ine', b
, 0)),
371 # fmin(-b2f(a), b) >= 0.0
372 # -b2f(a) >= 0.0 && b >= 0.0
373 # -b2f(a) == 0.0 && b >= 0.0 -b2f can only be 0 or -1, never >0
374 # b2f(a) == 0.0 && b >= 0.0
375 # a == False && b >= 0.0
378 # The fge in the second replacement is not a typo. I leave the proof that
379 # "fmin(-b2f(a), b) >= 0 <=> fmin(-b2f(a), b) == 0" as an exercise for the
381 (('fge', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
382 (('feq', ('fmin', ('fneg', ('b2f', 'a@1')), 'b@1'), 0.0), ('iand', ('inot', a
), ('fge', b
, 0.0))),
384 (('feq', ('b2f', 'a@1'), 0.0), ('inot', a
)),
385 (('fne', ('b2f', 'a@1'), 0.0), a
),
386 (('ieq', ('b2i', 'a@1'), 0), ('inot', a
)),
387 (('ine', ('b2i', 'a@1'), 0), a
),
389 (('fne', ('u2f', a
), 0.0), ('ine', a
, 0)),
390 (('feq', ('u2f', a
), 0.0), ('ieq', a
, 0)),
391 (('fge', ('u2f', a
), 0.0), True),
392 (('fge', 0.0, ('u2f', a
)), ('uge', 0, a
)), # ieq instead?
393 (('flt', ('u2f', a
), 0.0), False),
394 (('flt', 0.0, ('u2f', a
)), ('ult', 0, a
)), # ine instead?
395 (('fne', ('i2f', a
), 0.0), ('ine', a
, 0)),
396 (('feq', ('i2f', a
), 0.0), ('ieq', a
, 0)),
397 (('fge', ('i2f', a
), 0.0), ('ige', a
, 0)),
398 (('fge', 0.0, ('i2f', a
)), ('ige', 0, a
)),
399 (('flt', ('i2f', a
), 0.0), ('ilt', a
, 0)),
400 (('flt', 0.0, ('i2f', a
)), ('ilt', 0, a
)),
404 # fabs(a) != 0.0 because fabs(a) must be >= 0
406 (('~flt', 0.0, ('fabs', a
)), ('fne', a
, 0.0)),
410 (('~flt', ('fneg', ('fabs', a
)), 0.0), ('fne', a
, 0.0)),
413 # 0.0 == fabs(a) because fabs(a) must be >= 0
415 (('fge', 0.0, ('fabs', a
)), ('feq', a
, 0.0)),
419 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
421 # (a >= 0.0) && (a <= 1.0) -> fsat(a) == a
422 (('iand', ('fge', a
, 0.0), ('fge', 1.0, a
)), ('feq', a
, ('fsat', a
)), '!options->lower_fsat'),
424 # (a < 0.0) || (a > 1.0)
425 # !(!(a < 0.0) && !(a > 1.0))
426 # !((a >= 0.0) && (a <= 1.0))
429 (('ior', ('flt', a
, 0.0), ('flt', 1.0, a
)), ('fne', a
, ('fsat', a
)), '!options->lower_fsat'),
431 (('fmax', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('ior', a
, b
))),
432 (('fmax', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('ior', a
, b
)))),
433 (('fmin', ('b2f(is_used_once)', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
434 (('fmin', ('fneg(is_used_once)', ('b2f(is_used_once)', 'a@1')), ('fneg', ('b2f', 'b@1'))), ('fneg', ('b2f', ('iand', a
, b
)))),
437 # bcsel(a, fmin(b2f(a), b), fmin(b2f(a), b))
438 # bcsel(a, fmin(b2f(True), b), fmin(b2f(False), b))
439 # bcsel(a, fmin(1.0, b), fmin(0.0, b))
441 # Since b is a constant, constant folding will eliminate the fmin and the
442 # fmax. If b is > 1.0, the bcsel will be replaced with a b2f.
443 (('fmin', ('b2f', 'a@1'), '#b'), ('bcsel', a
, ('fmin', b
, 1.0), ('fmin', b
, 0.0))),
445 (('flt', ('fadd(is_used_once)', a
, ('fneg', b
)), 0.0), ('flt', a
, b
)),
447 (('fge', ('fneg', ('fabs', a
)), 0.0), ('feq', a
, 0.0)),
448 (('~bcsel', ('flt', b
, a
), b
, a
), ('fmin', a
, b
)),
449 (('~bcsel', ('flt', a
, b
), b
, a
), ('fmax', a
, b
)),
450 (('~bcsel', ('fge', a
, b
), b
, a
), ('fmin', a
, b
)),
451 (('~bcsel', ('fge', b
, a
), b
, a
), ('fmax', a
, b
)),
452 (('bcsel', ('i2b', a
), b
, c
), ('bcsel', ('ine', a
, 0), b
, c
)),
453 (('bcsel', ('inot', a
), b
, c
), ('bcsel', a
, c
, b
)),
454 (('bcsel', a
, ('bcsel', a
, b
, c
), d
), ('bcsel', a
, b
, d
)),
455 (('bcsel', a
, b
, ('bcsel', a
, c
, d
)), ('bcsel', a
, b
, d
)),
456 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
457 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, c
, 'e')), ('bcsel', b
, c
, ('bcsel', a
, d
, 'e'))),
458 (('bcsel', a
, ('bcsel', b
, c
, d
), ('bcsel(is_used_once)', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
459 (('bcsel', a
, ('bcsel(is_used_once)', b
, c
, d
), ('bcsel', b
, 'e', d
)), ('bcsel', b
, ('bcsel', a
, c
, 'e'), d
)),
460 (('bcsel', a
, True, b
), ('ior', a
, b
)),
461 (('bcsel', a
, a
, b
), ('ior', a
, b
)),
462 (('bcsel', a
, b
, False), ('iand', a
, b
)),
463 (('bcsel', a
, b
, a
), ('iand', a
, b
)),
470 (('fmax', ('fmax', a
, b
), b
), ('fmax', a
, b
)),
471 (('umax', ('umax', a
, b
), b
), ('umax', a
, b
)),
472 (('imax', ('imax', a
, b
), b
), ('imax', a
, b
)),
473 (('fmin', ('fmin', a
, b
), b
), ('fmin', a
, b
)),
474 (('umin', ('umin', a
, b
), b
), ('umin', a
, b
)),
475 (('imin', ('imin', a
, b
), b
), ('imin', a
, b
)),
476 (('fmax', a
, ('fneg', a
)), ('fabs', a
)),
477 (('imax', a
, ('ineg', a
)), ('iabs', a
)),
478 (('fmin', a
, ('fneg', a
)), ('fneg', ('fabs', a
))),
479 (('imin', a
, ('ineg', a
)), ('ineg', ('iabs', a
))),
480 (('fmin', a
, ('fneg', ('fabs', a
))), ('fneg', ('fabs', a
))),
481 (('imin', a
, ('ineg', ('iabs', a
))), ('ineg', ('iabs', a
))),
482 (('fmin', a
, ('fabs', a
)), a
),
483 (('imin', a
, ('iabs', a
)), a
),
484 (('fmax', a
, ('fneg', ('fabs', a
))), a
),
485 (('imax', a
, ('ineg', ('iabs', a
))), a
),
486 (('fmax', a
, ('fabs', a
)), ('fabs', a
)),
487 (('imax', a
, ('iabs', a
)), ('iabs', a
)),
488 (('fmax', a
, ('fneg', a
)), ('fabs', a
)),
489 (('imax', a
, ('ineg', a
)), ('iabs', a
)),
490 (('~fmax', ('fabs', a
), 0.0), ('fabs', a
)),
491 (('~fmin', ('fmax', a
, 0.0), 1.0), ('fsat', a
), '!options->lower_fsat'),
492 (('~fmax', ('fmin', a
, 1.0), 0.0), ('fsat', a
), '!options->lower_fsat'),
493 (('~fmin', ('fmax', a
, -1.0), 0.0), ('fneg', ('fsat', ('fneg', a
))), '!options->lower_negate && !options->lower_fsat'),
494 (('~fmax', ('fmin', a
, 0.0), -1.0), ('fneg', ('fsat', ('fneg', a
))), '!options->lower_negate && !options->lower_fsat'),
495 (('fsat', ('fsign', a
)), ('b2f', ('flt', 0.0, a
))),
496 (('fsat', ('b2f', a
)), ('b2f', a
)),
497 (('fsat', a
), ('fmin', ('fmax', a
, 0.0), 1.0), 'options->lower_fsat'),
498 (('fsat', ('fsat', a
)), ('fsat', a
)),
499 (('fsat', ('fneg(is_used_once)', ('fadd(is_used_once)', a
, b
))), ('fsat', ('fadd', ('fneg', a
), ('fneg', b
))), '!options->lower_negate && !options->lower_fsat'),
500 (('fsat', ('fneg(is_used_once)', ('fmul(is_used_once)', a
, b
))), ('fsat', ('fmul', ('fneg', a
), b
)), '!options->lower_negate && !options->lower_fsat'),
501 (('fsat', ('fabs(is_used_once)', ('fmul(is_used_once)', a
, b
))), ('fsat', ('fmul', ('fabs', a
), ('fabs', b
))), '!options->lower_fsat'),
502 (('fmin', ('fmax', ('fmin', ('fmax', a
, b
), c
), b
), c
), ('fmin', ('fmax', a
, b
), c
)),
503 (('imin', ('imax', ('imin', ('imax', a
, b
), c
), b
), c
), ('imin', ('imax', a
, b
), c
)),
504 (('umin', ('umax', ('umin', ('umax', a
, b
), c
), b
), c
), ('umin', ('umax', a
, b
), c
)),
505 (('fmax', ('fsat', a
), '#b@32(is_zero_to_one)'), ('fsat', ('fmax', a
, b
))),
506 (('fmin', ('fsat', a
), '#b@32(is_zero_to_one)'), ('fsat', ('fmin', a
, b
))),
507 (('extract_u8', ('imin', ('imax', a
, 0), 0xff), 0), ('imin', ('imax', a
, 0), 0xff)),
508 (('~ior', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmax', b
, c
))),
509 (('~ior', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmin', a
, b
), c
)),
510 (('~ior', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmin', b
, c
))),
511 (('~ior', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmax', a
, b
), c
)),
512 (('~ior', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmax', b
, c
))),
513 (('~ior', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmin', a
, b
), c
)),
514 (('~ior', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmin', b
, c
))),
515 (('~ior', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmax', a
, b
), c
)),
516 (('~iand', ('flt(is_used_once)', a
, b
), ('flt', a
, c
)), ('flt', a
, ('fmin', b
, c
))),
517 (('~iand', ('flt(is_used_once)', a
, c
), ('flt', b
, c
)), ('flt', ('fmax', a
, b
), c
)),
518 (('~iand', ('fge(is_used_once)', a
, b
), ('fge', a
, c
)), ('fge', a
, ('fmax', b
, c
))),
519 (('~iand', ('fge(is_used_once)', a
, c
), ('fge', b
, c
)), ('fge', ('fmin', a
, b
), c
)),
520 (('~iand', ('flt', a
, '#b'), ('flt', a
, '#c')), ('flt', a
, ('fmin', b
, c
))),
521 (('~iand', ('flt', '#a', c
), ('flt', '#b', c
)), ('flt', ('fmax', a
, b
), c
)),
522 (('~iand', ('fge', a
, '#b'), ('fge', a
, '#c')), ('fge', a
, ('fmax', b
, c
))),
523 (('~iand', ('fge', '#a', c
), ('fge', '#b', c
)), ('fge', ('fmin', a
, b
), c
)),
525 (('ior', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imax', b
, c
))),
526 (('ior', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imin', a
, b
), c
)),
527 (('ior', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imin', b
, c
))),
528 (('ior', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imax', a
, b
), c
)),
529 (('ior', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umax', b
, c
))),
530 (('ior', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umin', a
, b
), c
)),
531 (('ior', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umin', b
, c
))),
532 (('ior', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umax', a
, b
), c
)),
533 (('iand', ('ilt(is_used_once)', a
, b
), ('ilt', a
, c
)), ('ilt', a
, ('imin', b
, c
))),
534 (('iand', ('ilt(is_used_once)', a
, c
), ('ilt', b
, c
)), ('ilt', ('imax', a
, b
), c
)),
535 (('iand', ('ige(is_used_once)', a
, b
), ('ige', a
, c
)), ('ige', a
, ('imax', b
, c
))),
536 (('iand', ('ige(is_used_once)', a
, c
), ('ige', b
, c
)), ('ige', ('imin', a
, b
), c
)),
537 (('iand', ('ult(is_used_once)', a
, b
), ('ult', a
, c
)), ('ult', a
, ('umin', b
, c
))),
538 (('iand', ('ult(is_used_once)', a
, c
), ('ult', b
, c
)), ('ult', ('umax', a
, b
), c
)),
539 (('iand', ('uge(is_used_once)', a
, b
), ('uge', a
, c
)), ('uge', a
, ('umax', b
, c
))),
540 (('iand', ('uge(is_used_once)', a
, c
), ('uge', b
, c
)), ('uge', ('umin', a
, b
), c
)),
542 # These derive from the previous patterns with the application of b < 0 <=>
543 # 0 < -b. The transformation should be applied if either comparison is
544 # used once as this ensures that the number of comparisons will not
545 # increase. The sources to the ior and iand are not symmetric, so the
546 # rules have to be duplicated to get this behavior.
547 (('~ior', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a
, ('fneg', b
)))),
548 (('~ior', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmax', a
, ('fneg', b
)))),
549 (('~ior', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a
, ('fneg', b
)))),
550 (('~ior', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmin', a
, ('fneg', b
)))),
551 (('~iand', ('flt(is_used_once)', 0.0, 'a@32'), ('flt', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a
, ('fneg', b
)))),
552 (('~iand', ('flt', 0.0, 'a@32'), ('flt(is_used_once)', 'b@32', 0.0)), ('flt', 0.0, ('fmin', a
, ('fneg', b
)))),
553 (('~iand', ('fge(is_used_once)', 0.0, 'a@32'), ('fge', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a
, ('fneg', b
)))),
554 (('~iand', ('fge', 0.0, 'a@32'), ('fge(is_used_once)', 'b@32', 0.0)), ('fge', 0.0, ('fmax', a
, ('fneg', b
)))),
556 # Common pattern like 'if (i == 0 || i == 1 || ...)'
557 (('ior', ('ieq', a
, 0), ('ieq', a
, 1)), ('uge', 1, a
)),
558 (('ior', ('uge', 1, a
), ('ieq', a
, 2)), ('uge', 2, a
)),
559 (('ior', ('uge', 2, a
), ('ieq', a
, 3)), ('uge', 3, a
)),
561 # The (i2f32, ...) part is an open-coded fsign. When that is combined with
562 # the bcsel, it's basically copysign(1.0, a). There is no copysign in NIR,
563 # so emit an open-coded version of that.
564 (('bcsel@32', ('feq', a
, 0.0), 1.0, ('i2f32', ('iadd', ('b2i32', ('flt', 0.0, 'a@32')), ('ineg', ('b2i32', ('flt', 'a@32', 0.0)))))),
565 ('ior', 0x3f800000, ('iand', a
, 0x80000000))),
567 (('ior', a
, ('ieq', a
, False)), True),
568 (('ior', a
, ('inot', a
)), -1),
570 (('ine', ('ineg', ('b2i32', 'a@1')), ('ineg', ('b2i32', 'b@1'))), ('ine', a
, b
)),
571 (('b2i32', ('ine', 'a@1', 'b@1')), ('b2i32', ('ixor', a
, b
))),
573 (('iand', ('ieq', 'a@32', 0), ('ieq', 'b@32', 0)), ('ieq', ('ior', 'a@32', 'b@32'), 0), '!options->lower_bitops'),
575 # These patterns can result when (a < b || a < c) => (a < min(b, c))
576 # transformations occur before constant propagation and loop-unrolling.
577 (('~flt', a
, ('fmax', b
, a
)), ('flt', a
, b
)),
578 (('~flt', ('fmin', a
, b
), a
), ('flt', b
, a
)),
579 (('~fge', a
, ('fmin', b
, a
)), True),
580 (('~fge', ('fmax', a
, b
), a
), True),
581 (('~flt', a
, ('fmin', b
, a
)), False),
582 (('~flt', ('fmax', a
, b
), a
), False),
583 (('~fge', a
, ('fmax', b
, a
)), ('fge', a
, b
)),
584 (('~fge', ('fmin', a
, b
), a
), ('fge', b
, a
)),
586 (('ilt', a
, ('imax', b
, a
)), ('ilt', a
, b
)),
587 (('ilt', ('imin', a
, b
), a
), ('ilt', b
, a
)),
588 (('ige', a
, ('imin', b
, a
)), True),
589 (('ige', ('imax', a
, b
), a
), True),
590 (('ult', a
, ('umax', b
, a
)), ('ult', a
, b
)),
591 (('ult', ('umin', a
, b
), a
), ('ult', b
, a
)),
592 (('uge', a
, ('umin', b
, a
)), True),
593 (('uge', ('umax', a
, b
), a
), True),
594 (('ilt', a
, ('imin', b
, a
)), False),
595 (('ilt', ('imax', a
, b
), a
), False),
596 (('ige', a
, ('imax', b
, a
)), ('ige', a
, b
)),
597 (('ige', ('imin', a
, b
), a
), ('ige', b
, a
)),
598 (('ult', a
, ('umin', b
, a
)), False),
599 (('ult', ('umax', a
, b
), a
), False),
600 (('uge', a
, ('umax', b
, a
)), ('uge', a
, b
)),
601 (('uge', ('umin', a
, b
), a
), ('uge', b
, a
)),
602 (('ult', a
, ('iand', b
, a
)), False),
603 (('ult', ('ior', a
, b
), a
), False),
604 (('uge', a
, ('iand', b
, a
)), True),
605 (('uge', ('ior', a
, b
), a
), True),
607 (('ilt', '#a', ('imax', '#b', c
)), ('ior', ('ilt', a
, b
), ('ilt', a
, c
))),
608 (('ilt', ('imin', '#a', b
), '#c'), ('ior', ('ilt', a
, c
), ('ilt', b
, c
))),
609 (('ige', '#a', ('imin', '#b', c
)), ('ior', ('ige', a
, b
), ('ige', a
, c
))),
610 (('ige', ('imax', '#a', b
), '#c'), ('ior', ('ige', a
, c
), ('ige', b
, c
))),
611 (('ult', '#a', ('umax', '#b', c
)), ('ior', ('ult', a
, b
), ('ult', a
, c
))),
612 (('ult', ('umin', '#a', b
), '#c'), ('ior', ('ult', a
, c
), ('ult', b
, c
))),
613 (('uge', '#a', ('umin', '#b', c
)), ('ior', ('uge', a
, b
), ('uge', a
, c
))),
614 (('uge', ('umax', '#a', b
), '#c'), ('ior', ('uge', a
, c
), ('uge', b
, c
))),
615 (('ilt', '#a', ('imin', '#b', c
)), ('iand', ('ilt', a
, b
), ('ilt', a
, c
))),
616 (('ilt', ('imax', '#a', b
), '#c'), ('iand', ('ilt', a
, c
), ('ilt', b
, c
))),
617 (('ige', '#a', ('imax', '#b', c
)), ('iand', ('ige', a
, b
), ('ige', a
, c
))),
618 (('ige', ('imin', '#a', b
), '#c'), ('iand', ('ige', a
, c
), ('ige', b
, c
))),
619 (('ult', '#a', ('umin', '#b', c
)), ('iand', ('ult', a
, b
), ('ult', a
, c
))),
620 (('ult', ('umax', '#a', b
), '#c'), ('iand', ('ult', a
, c
), ('ult', b
, c
))),
621 (('uge', '#a', ('umax', '#b', c
)), ('iand', ('uge', a
, b
), ('uge', a
, c
))),
622 (('uge', ('umin', '#a', b
), '#c'), ('iand', ('uge', a
, c
), ('uge', b
, c
))),
624 # Thanks to sign extension, the ishr(a, b) is negative if and only if a is
626 (('bcsel', ('ilt', a
, 0), ('ineg', ('ishr', a
, b
)), ('ishr', a
, b
)),
627 ('iabs', ('ishr', a
, b
))),
628 (('iabs', ('ishr', ('iabs', a
), b
)), ('ishr', ('iabs', a
), b
)),
630 (('fabs', ('slt', a
, b
)), ('slt', a
, b
)),
631 (('fabs', ('sge', a
, b
)), ('sge', a
, b
)),
632 (('fabs', ('seq', a
, b
)), ('seq', a
, b
)),
633 (('fabs', ('sne', a
, b
)), ('sne', a
, b
)),
634 (('slt', a
, b
), ('b2f', ('flt', a
, b
)), 'options->lower_scmp'),
635 (('sge', a
, b
), ('b2f', ('fge', a
, b
)), 'options->lower_scmp'),
636 (('seq', a
, b
), ('b2f', ('feq', a
, b
)), 'options->lower_scmp'),
637 (('sne', a
, b
), ('b2f', ('fne', a
, b
)), 'options->lower_scmp'),
638 (('seq', ('seq', a
, b
), 1.0), ('seq', a
, b
)),
639 (('seq', ('sne', a
, b
), 1.0), ('sne', a
, b
)),
640 (('seq', ('slt', a
, b
), 1.0), ('slt', a
, b
)),
641 (('seq', ('sge', a
, b
), 1.0), ('sge', a
, b
)),
642 (('sne', ('seq', a
, b
), 0.0), ('seq', a
, b
)),
643 (('sne', ('sne', a
, b
), 0.0), ('sne', a
, b
)),
644 (('sne', ('slt', a
, b
), 0.0), ('slt', a
, b
)),
645 (('sne', ('sge', a
, b
), 0.0), ('sge', a
, b
)),
646 (('seq', ('seq', a
, b
), 0.0), ('sne', a
, b
)),
647 (('seq', ('sne', a
, b
), 0.0), ('seq', a
, b
)),
648 (('seq', ('slt', a
, b
), 0.0), ('sge', a
, b
)),
649 (('seq', ('sge', a
, b
), 0.0), ('slt', a
, b
)),
650 (('sne', ('seq', a
, b
), 1.0), ('sne', a
, b
)),
651 (('sne', ('sne', a
, b
), 1.0), ('seq', a
, b
)),
652 (('sne', ('slt', a
, b
), 1.0), ('sge', a
, b
)),
653 (('sne', ('sge', a
, b
), 1.0), ('slt', a
, b
)),
654 (('fall_equal2', a
, b
), ('fmin', ('seq', 'a.x', 'b.x'), ('seq', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
655 (('fall_equal3', a
, b
), ('seq', ('fany_nequal3', a
, b
), 0.0), 'options->lower_vector_cmp'),
656 (('fall_equal4', a
, b
), ('seq', ('fany_nequal4', a
, b
), 0.0), 'options->lower_vector_cmp'),
657 (('fany_nequal2', a
, b
), ('fmax', ('sne', 'a.x', 'b.x'), ('sne', 'a.y', 'b.y')), 'options->lower_vector_cmp'),
658 (('fany_nequal3', a
, b
), ('fsat', ('fdot3', ('sne', a
, b
), ('sne', a
, b
))), 'options->lower_vector_cmp'),
659 (('fany_nequal4', a
, b
), ('fsat', ('fdot4', ('sne', a
, b
), ('sne', a
, b
))), 'options->lower_vector_cmp'),
660 (('fne', ('fneg', a
), a
), ('fne', a
, 0.0)),
661 (('feq', ('fneg', a
), a
), ('feq', a
, 0.0)),
663 (('imul', ('b2i', 'a@1'), ('b2i', 'b@1')), ('b2i', ('iand', a
, b
))),
664 (('fmul', ('b2f', 'a@1'), ('b2f', 'b@1')), ('b2f', ('iand', a
, b
))),
665 (('fsat', ('fadd', ('b2f', 'a@1'), ('b2f', 'b@1'))), ('b2f', ('ior', a
, b
))),
666 (('iand', 'a@bool32', 1.0), ('b2f', a
)),
667 # True/False are ~0 and 0 in NIR. b2i of True is 1, and -1 is ~0 (True).
668 (('ineg', ('b2i32', 'a@32')), a
),
669 (('flt', ('fneg', ('b2f', 'a@1')), 0), a
), # Generated by TGSI KILL_IF.
670 (('flt', ('fsub', 0.0, ('b2f', 'a@1')), 0), a
), # Generated by TGSI KILL_IF.
671 # Comparison with the same args. Note that these are not done for
672 # the float versions because NaN always returns false on float
674 (('ilt', a
, a
), False),
675 (('ige', a
, a
), True),
676 (('ieq', a
, a
), True),
677 (('ine', a
, a
), False),
678 (('ult', a
, a
), False),
679 (('uge', a
, a
), True),
680 # Logical and bit operations
682 (('iand', a
, ~
0), a
),
686 (('ior', a
, True), True),
689 (('inot', ('inot', a
)), a
),
690 (('ior', ('iand', a
, b
), b
), b
),
691 (('ior', ('ior', a
, b
), b
), ('ior', a
, b
)),
692 (('iand', ('ior', a
, b
), b
), b
),
693 (('iand', ('iand', a
, b
), b
), ('iand', a
, b
)),
695 (('iand', ('inot', a
), ('inot', b
)), ('inot', ('ior', a
, b
))),
696 (('ior', ('inot', a
), ('inot', b
)), ('inot', ('iand', a
, b
))),
697 # Shift optimizations
704 (('iand', 0xff, ('ushr@32', a
, 24)), ('ushr', a
, 24)),
705 (('iand', 0xffff, ('ushr@32', a
, 16)), ('ushr', a
, 16)),
706 (('ior', ('ishl@16', a
, b
), ('ushr@16', a
, ('iadd', 16, ('ineg', b
)))), ('urol', a
, b
), '!options->lower_rotate'),
707 (('ior', ('ishl@16', a
, b
), ('ushr@16', a
, ('isub', 16, b
))), ('urol', a
, b
), '!options->lower_rotate'),
708 (('ior', ('ishl@32', a
, b
), ('ushr@32', a
, ('iadd', 32, ('ineg', b
)))), ('urol', a
, b
), '!options->lower_rotate'),
709 (('ior', ('ishl@32', a
, b
), ('ushr@32', a
, ('isub', 32, b
))), ('urol', a
, b
), '!options->lower_rotate'),
710 (('ior', ('ushr@16', a
, b
), ('ishl@16', a
, ('iadd', 16, ('ineg', b
)))), ('uror', a
, b
), '!options->lower_rotate'),
711 (('ior', ('ushr@16', a
, b
), ('ishl@16', a
, ('isub', 16, b
))), ('uror', a
, b
), '!options->lower_rotate'),
712 (('ior', ('ushr@32', a
, b
), ('ishl@32', a
, ('iadd', 32, ('ineg', b
)))), ('uror', a
, b
), '!options->lower_rotate'),
713 (('ior', ('ushr@32', a
, b
), ('ishl@32', a
, ('isub', 32, b
))), ('uror', a
, b
), '!options->lower_rotate'),
714 (('urol@16', a
, b
), ('ior', ('ishl', a
, b
), ('ushr', a
, ('isub', 16, b
))), 'options->lower_rotate'),
715 (('urol@32', a
, b
), ('ior', ('ishl', a
, b
), ('ushr', a
, ('isub', 32, b
))), 'options->lower_rotate'),
716 (('uror@16', a
, b
), ('ior', ('ushr', a
, b
), ('ishl', a
, ('isub', 16, b
))), 'options->lower_rotate'),
717 (('uror@32', a
, b
), ('ior', ('ushr', a
, b
), ('ishl', a
, ('isub', 32, b
))), 'options->lower_rotate'),
718 # Exponential/logarithmic identities
719 (('~fexp2', ('flog2', a
)), a
), # 2^lg2(a) = a
720 (('~flog2', ('fexp2', a
)), a
), # lg2(2^a) = a
721 (('fpow', a
, b
), ('fexp2', ('fmul', ('flog2', a
), b
)), 'options->lower_fpow'), # a^b = 2^(lg2(a)*b)
722 (('~fexp2', ('fmul', ('flog2', a
), b
)), ('fpow', a
, b
), '!options->lower_fpow'), # 2^(lg2(a)*b) = a^b
723 (('~fexp2', ('fadd', ('fmul', ('flog2', a
), b
), ('fmul', ('flog2', c
), d
))),
724 ('~fmul', ('fpow', a
, b
), ('fpow', c
, d
)), '!options->lower_fpow'), # 2^(lg2(a) * b + lg2(c) + d) = a^b * c^d
725 (('~fexp2', ('fmul', ('flog2', a
), 2.0)), ('fmul', a
, a
)),
726 (('~fexp2', ('fmul', ('flog2', a
), 4.0)), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
727 (('~fpow', a
, 1.0), a
),
728 (('~fpow', a
, 2.0), ('fmul', a
, a
)),
729 (('~fpow', a
, 4.0), ('fmul', ('fmul', a
, a
), ('fmul', a
, a
))),
730 (('~fpow', 2.0, a
), ('fexp2', a
)),
731 (('~fpow', ('fpow', a
, 2.2), 0.454545), a
),
732 (('~fpow', ('fabs', ('fpow', a
, 2.2)), 0.454545), ('fabs', a
)),
733 (('~fsqrt', ('fexp2', a
)), ('fexp2', ('fmul', 0.5, a
))),
734 (('~frcp', ('fexp2', a
)), ('fexp2', ('fneg', a
))),
735 (('~frsq', ('fexp2', a
)), ('fexp2', ('fmul', -0.5, a
))),
736 (('~flog2', ('fsqrt', a
)), ('fmul', 0.5, ('flog2', a
))),
737 (('~flog2', ('frcp', a
)), ('fneg', ('flog2', a
))),
738 (('~flog2', ('frsq', a
)), ('fmul', -0.5, ('flog2', a
))),
739 (('~flog2', ('fpow', a
, b
)), ('fmul', b
, ('flog2', a
))),
740 (('~fmul', ('fexp2(is_used_once)', a
), ('fexp2(is_used_once)', b
)), ('fexp2', ('fadd', a
, b
))),
741 (('bcsel', ('flt', a
, 0.0), 0.0, ('fsqrt', a
)), ('fsqrt', ('fmax', a
, 0.0))),
742 # Division and reciprocal
743 (('~fdiv', 1.0, a
), ('frcp', a
)),
744 (('fdiv', a
, b
), ('fmul', a
, ('frcp', b
)), 'options->lower_fdiv'),
745 (('~frcp', ('frcp', a
)), a
),
746 (('~frcp', ('fsqrt', a
)), ('frsq', a
)),
747 (('fsqrt', a
), ('frcp', ('frsq', a
)), 'options->lower_fsqrt'),
748 (('~frcp', ('frsq', a
)), ('fsqrt', a
), '!options->lower_fsqrt'),
750 (('fsin', a
), lowered_sincos(0.5), 'options->lower_sincos'),
751 (('fcos', a
), lowered_sincos(0.75), 'options->lower_sincos'),
752 # Boolean simplifications
753 (('i2b32(is_used_by_if)', a
), ('ine32', a
, 0)),
754 (('i2b1(is_used_by_if)', a
), ('ine', a
, 0)),
755 (('ieq', a
, True), a
),
756 (('ine(is_not_used_by_if)', a
, True), ('inot', a
)),
757 (('ine', a
, False), a
),
758 (('ieq(is_not_used_by_if)', a
, False), ('inot', 'a')),
759 (('bcsel', a
, True, False), a
),
760 (('bcsel', a
, False, True), ('inot', a
)),
761 (('bcsel@32', a
, 1.0, 0.0), ('b2f', a
)),
762 (('bcsel@32', a
, 0.0, 1.0), ('b2f', ('inot', a
))),
763 (('bcsel@32', a
, -1.0, -0.0), ('fneg', ('b2f', a
))),
764 (('bcsel@32', a
, -0.0, -1.0), ('fneg', ('b2f', ('inot', a
)))),
765 (('bcsel', True, b
, c
), b
),
766 (('bcsel', False, b
, c
), c
),
767 (('bcsel', a
, ('b2f(is_used_once)', 'b@32'), ('b2f', 'c@32')), ('b2f', ('bcsel', a
, b
, c
))),
769 (('bcsel', a
, b
, b
), b
),
770 (('fcsel', a
, b
, b
), b
),
772 # D3D Boolean emulation
773 (('bcsel', a
, -1, 0), ('ineg', ('b2i', 'a@1'))),
774 (('bcsel', a
, 0, -1), ('ineg', ('b2i', ('inot', a
)))),
775 (('iand', ('ineg', ('b2i', 'a@1')), ('ineg', ('b2i', 'b@1'))),
776 ('ineg', ('b2i', ('iand', a
, b
)))),
777 (('ior', ('ineg', ('b2i','a@1')), ('ineg', ('b2i', 'b@1'))),
778 ('ineg', ('b2i', ('ior', a
, b
)))),
779 (('ieq', ('ineg', ('b2i', 'a@1')), 0), ('inot', a
)),
780 (('ieq', ('ineg', ('b2i', 'a@1')), -1), a
),
781 (('ine', ('ineg', ('b2i', 'a@1')), 0), a
),
782 (('ine', ('ineg', ('b2i', 'a@1')), -1), ('inot', a
)),
783 (('iand', ('ineg', ('b2i', a
)), 1.0), ('b2f', a
)),
785 # SM5 32-bit shifts are defined to use the 5 least significant bits
786 (('ishl', 'a@32', ('iand', 31, b
)), ('ishl', a
, b
)),
787 (('ishr', 'a@32', ('iand', 31, b
)), ('ishr', a
, b
)),
788 (('ushr', 'a@32', ('iand', 31, b
)), ('ushr', a
, b
)),
791 (('i2b32', ('b2i', 'a@32')), a
),
792 (('f2i', ('ftrunc', a
)), ('f2i', a
)),
793 (('f2u', ('ftrunc', a
)), ('f2u', a
)),
794 (('i2b', ('ineg', a
)), ('i2b', a
)),
795 (('i2b', ('iabs', a
)), ('i2b', a
)),
796 (('inot', ('f2b1', a
)), ('feq', a
, 0.0)),
798 # Ironically, mark these as imprecise because removing the conversions may
799 # preserve more precision than doing the conversions (e.g.,
800 # uint(float(0x81818181u)) == 0x81818200).
801 (('~f2i32', ('i2f', 'a@32')), a
),
802 (('~f2i32', ('u2f', 'a@32')), a
),
803 (('~f2u32', ('i2f', 'a@32')), a
),
804 (('~f2u32', ('u2f', 'a@32')), a
),
806 (('ffloor', 'a(is_integral)'), a
),
807 (('fceil', 'a(is_integral)'), a
),
808 (('ftrunc', 'a(is_integral)'), a
),
809 (('ffract', 'a(is_integral)'), 0.0),
810 (('fabs', 'a(is_not_negative)'), a
),
811 (('iabs', 'a(is_not_negative)'), a
),
812 (('fsat', 'a(is_not_positive)'), 0.0),
814 # Section 5.4.1 (Conversion and Scalar Constructors) of the GLSL 4.60 spec
817 # It is undefined to convert a negative floating-point value to an
820 # Assuming that (uint)some_float behaves like (uint)(int)some_float allows
821 # some optimizations in the i965 backend to proceed.
822 (('ige', ('f2u', a
), b
), ('ige', ('f2i', a
), b
)),
823 (('ige', b
, ('f2u', a
)), ('ige', b
, ('f2i', a
))),
824 (('ilt', ('f2u', a
), b
), ('ilt', ('f2i', a
), b
)),
825 (('ilt', b
, ('f2u', a
)), ('ilt', b
, ('f2i', a
))),
827 (('~fmin', 'a(is_not_negative)', 1.0), ('fsat', a
), '!options->lower_fsat'),
829 # The result of the multiply must be in [-1, 0], so the result of the ffma
831 (('flt', ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0), 0.0), False),
832 (('flt', ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0), 0.0), False),
833 (('fmax', ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0), 0.0), ('fadd', ('fmul', ('fsat', a
), ('fneg', ('fsat', a
))), 1.0)),
834 (('fmax', ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0), 0.0), ('fadd', ('fneg', ('fmul', ('fsat', a
), ('fsat', a
))), 1.0)),
836 (('fne', 'a(is_not_zero)', 0.0), True),
837 (('feq', 'a(is_not_zero)', 0.0), False),
839 (('fge', 'a(is_not_negative)', 'b(is_not_positive)'), True),
840 (('fge', 'b(is_not_positive)', 'a(is_gt_zero)'), False),
841 (('fge', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
842 (('fge', 'b(is_not_negative)', 'a(is_not_positive)'), True),
844 (('flt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
845 (('flt', 'b(is_not_positive)', 'a(is_gt_zero)'), True),
846 (('flt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
847 (('flt', 'b(is_not_negative)', 'a(is_not_positive)'), False),
849 (('ine', 'a(is_not_zero)', 0), True),
850 (('ieq', 'a(is_not_zero)', 0), False),
852 (('ige', 'a(is_not_negative)', 'b(is_not_positive)'), True),
853 (('ige', 'b(is_not_positive)', 'a(is_gt_zero)'), False),
854 (('ige', 'a(is_lt_zero)', 'b(is_not_negative)'), False),
855 (('ige', 'b(is_not_negative)', 'a(is_not_positive)'), True),
857 (('ilt', 'a(is_not_negative)', 'b(is_not_positive)'), False),
858 (('ilt', 'b(is_not_positive)', 'a(is_gt_zero)'), True),
859 (('ilt', 'a(is_lt_zero)', 'b(is_not_negative)'), True),
860 (('ilt', 'b(is_not_negative)', 'a(is_not_positive)'), False),
862 (('ult', 0, 'a(is_gt_zero)'), True),
864 # Packing and then unpacking does nothing
865 (('unpack_64_2x32_split_x', ('pack_64_2x32_split', a
, b
)), a
),
866 (('unpack_64_2x32_split_y', ('pack_64_2x32_split', a
, b
)), b
),
867 (('pack_64_2x32_split', ('unpack_64_2x32_split_x', a
),
868 ('unpack_64_2x32_split_y', a
)), a
),
870 # Comparing two halves of an unpack separately. While this optimization
871 # should be correct for non-constant values, it's less obvious that it's
872 # useful in that case. For constant values, the pack will fold and we're
873 # guaranteed to reduce the whole tree to one instruction.
874 (('iand', ('ieq', ('unpack_32_2x16_split_x', a
), '#b'),
875 ('ieq', ('unpack_32_2x16_split_y', a
), '#c')),
876 ('ieq', a
, ('pack_32_2x16_split', b
, c
))),
879 (('ushr', 'a@16', 8), ('extract_u8', a
, 1), '!options->lower_extract_byte'),
880 (('ushr', 'a@32', 24), ('extract_u8', a
, 3), '!options->lower_extract_byte'),
881 (('ushr', 'a@64', 56), ('extract_u8', a
, 7), '!options->lower_extract_byte'),
882 (('ishr', 'a@16', 8), ('extract_i8', a
, 1), '!options->lower_extract_byte'),
883 (('ishr', 'a@32', 24), ('extract_i8', a
, 3), '!options->lower_extract_byte'),
884 (('ishr', 'a@64', 56), ('extract_i8', a
, 7), '!options->lower_extract_byte'),
885 (('iand', 0xff, a
), ('extract_u8', a
, 0), '!options->lower_extract_byte'),
887 # Useless masking before unpacking
888 (('unpack_half_2x16_split_x', ('iand', a
, 0xffff)), ('unpack_half_2x16_split_x', a
)),
889 (('unpack_32_2x16_split_x', ('iand', a
, 0xffff)), ('unpack_32_2x16_split_x', a
)),
890 (('unpack_64_2x32_split_x', ('iand', a
, 0xffffffff)), ('unpack_64_2x32_split_x', a
)),
891 (('unpack_half_2x16_split_y', ('iand', a
, 0xffff0000)), ('unpack_half_2x16_split_y', a
)),
892 (('unpack_32_2x16_split_y', ('iand', a
, 0xffff0000)), ('unpack_32_2x16_split_y', a
)),
893 (('unpack_64_2x32_split_y', ('iand', a
, 0xffffffff00000000)), ('unpack_64_2x32_split_y', a
)),
896 # After the ('extract_u8', a, 0) pattern, above, triggers, there will be
897 # patterns like those below.
898 for op
in ('ushr', 'ishr'):
899 optimizations
.extend([(('extract_u8', (op
, 'a@16', 8), 0), ('extract_u8', a
, 1))])
900 optimizations
.extend([(('extract_u8', (op
, 'a@32', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 4)])
901 optimizations
.extend([(('extract_u8', (op
, 'a@64', 8 * i
), 0), ('extract_u8', a
, i
)) for i
in range(1, 8)])
903 optimizations
.extend([(('extract_u8', ('extract_u16', a
, 1), 0), ('extract_u8', a
, 2))])
905 # After the ('extract_[iu]8', a, 3) patterns, above, trigger, there will be
906 # patterns like those below.
907 for op
in ('extract_u8', 'extract_i8'):
908 optimizations
.extend([((op
, ('ishl', 'a@16', 8), 1), (op
, a
, 0))])
909 optimizations
.extend([((op
, ('ishl', 'a@32', 24 - 8 * i
), 3), (op
, a
, i
)) for i
in range(2, -1, -1)])
910 optimizations
.extend([((op
, ('ishl', 'a@64', 56 - 8 * i
), 7), (op
, a
, i
)) for i
in range(6, -1, -1)])
912 optimizations
.extend([
914 (('ushr', ('ishl', 'a@32', 16), 16), ('extract_u16', a
, 0), '!options->lower_extract_word'),
915 (('ushr', 'a@32', 16), ('extract_u16', a
, 1), '!options->lower_extract_word'),
916 (('ishr', ('ishl', 'a@32', 16), 16), ('extract_i16', a
, 0), '!options->lower_extract_word'),
917 (('ishr', 'a@32', 16), ('extract_i16', a
, 1), '!options->lower_extract_word'),
918 (('iand', 0xffff, a
), ('extract_u16', a
, 0), '!options->lower_extract_word'),
921 (('~fsub', a
, ('fsub', 0.0, b
)), ('fadd', a
, b
)),
922 (('isub', a
, ('isub', 0, b
)), ('iadd', a
, b
)),
923 (('ussub_4x8', a
, 0), a
),
924 (('ussub_4x8', a
, ~
0), 0),
925 (('fsub', a
, b
), ('fadd', a
, ('fneg', b
)), 'options->lower_sub'),
926 (('isub', a
, b
), ('iadd', a
, ('ineg', b
)), 'options->lower_sub'),
927 (('fneg', a
), ('fsub', 0.0, a
), 'options->lower_negate'),
928 (('ineg', a
), ('isub', 0, a
), 'options->lower_negate'),
929 (('~fadd', a
, ('fsub', 0.0, b
)), ('fsub', a
, b
)),
930 (('iadd', a
, ('isub', 0, b
)), ('isub', a
, b
)),
931 (('fabs', ('fsub', 0.0, a
)), ('fabs', a
)),
932 (('iabs', ('isub', 0, a
)), ('iabs', a
)),
934 # Propagate negation up multiplication chains
935 (('fmul(is_used_by_non_fsat)', ('fneg', a
), b
), ('fneg', ('fmul', a
, b
))),
936 (('imul', ('ineg', a
), b
), ('ineg', ('imul', a
, b
))),
938 # Propagate constants up multiplication chains
939 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fmul', ('fmul', a
, c
), b
)),
940 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('imul', ('imul', a
, c
), b
)),
941 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('fadd', ('fadd', a
, c
), b
)),
942 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', 'b(is_not_const)'), '#c'), ('iadd', ('iadd', a
, c
), b
)),
944 # Reassociate constants in add/mul chains so they can be folded together.
945 # For now, we mostly only handle cases where the constants are separated by
946 # a single non-constant. We could do better eventually.
947 (('~fmul', '#a', ('fmul', 'b(is_not_const)', '#c')), ('fmul', ('fmul', a
, c
), b
)),
948 (('imul', '#a', ('imul', 'b(is_not_const)', '#c')), ('imul', ('imul', a
, c
), b
)),
949 (('~fadd', '#a', ('fadd', 'b(is_not_const)', '#c')), ('fadd', ('fadd', a
, c
), b
)),
950 (('~fadd', '#a', ('fneg', ('fadd', 'b(is_not_const)', '#c'))), ('fadd', ('fadd', a
, ('fneg', c
)), ('fneg', b
))),
951 (('iadd', '#a', ('iadd', 'b(is_not_const)', '#c')), ('iadd', ('iadd', a
, c
), b
)),
953 # Drop mul-div by the same value when there's no wrapping.
954 (('idiv', ('imul(no_signed_wrap)', a
, b
), b
), a
),
957 (('bcsel', ('ige', ('find_lsb', a
), 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
958 (('bcsel', ('ige', ('ifind_msb', a
), 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
959 (('bcsel', ('ige', ('ufind_msb', a
), 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
961 (('bcsel', ('ine', a
, 0), ('find_lsb', a
), -1), ('find_lsb', a
)),
962 (('bcsel', ('ine', a
, 0), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
963 (('bcsel', ('ine', a
, 0), ('ufind_msb', a
), -1), ('ufind_msb', a
)),
965 (('bcsel', ('ine', a
, -1), ('ifind_msb', a
), -1), ('ifind_msb', a
)),
968 (('fmod@16', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod'),
969 (('fmod@32', a
, b
), ('fsub', a
, ('fmul', b
, ('ffloor', ('fdiv', a
, b
)))), 'options->lower_fmod'),
970 (('frem', a
, b
), ('fsub', a
, ('fmul', b
, ('ftrunc', ('fdiv', a
, b
)))), 'options->lower_fmod'),
971 (('uadd_carry@32', a
, b
), ('b2i', ('ult', ('iadd', a
, b
), a
)), 'options->lower_uadd_carry'),
972 (('usub_borrow@32', a
, b
), ('b2i', ('ult', a
, b
)), 'options->lower_usub_borrow'),
974 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
975 ('bcsel', ('ult', 31, 'bits'), 'insert',
976 ('bfi', ('bfm', 'bits', 'offset'), 'insert', 'base')),
977 'options->lower_bitfield_insert'),
978 (('ihadd', a
, b
), ('iadd', ('iand', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
979 (('uhadd', a
, b
), ('iadd', ('iand', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
980 (('irhadd', a
, b
), ('isub', ('ior', a
, b
), ('ishr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
981 (('urhadd', a
, b
), ('isub', ('ior', a
, b
), ('ushr', ('ixor', a
, b
), 1)), 'options->lower_hadd'),
982 (('uadd_sat', a
, b
), ('bcsel', ('ult', ('iadd', a
, b
), a
), -1, ('iadd', a
, b
)), 'options->lower_add_sat'),
983 (('usub_sat', a
, b
), ('bcsel', ('ult', a
, b
), 0, ('isub', a
, b
)), 'options->lower_add_sat'),
985 # Alternative lowering that doesn't rely on bfi.
986 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
987 ('bcsel', ('ult', 31, 'bits'),
990 ('iand', 'base', ('inot', ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))),
991 ('iand', ('ishl', 'insert', 'offset'), ('ishl', ('isub', ('ishl', 1, 'bits'), 1), 'offset'))))),
992 'options->lower_bitfield_insert_to_shifts'),
994 # Alternative lowering that uses bitfield_select.
995 (('bitfield_insert', 'base', 'insert', 'offset', 'bits'),
996 ('bcsel', ('ult', 31, 'bits'), 'insert',
997 ('bitfield_select', ('bfm', 'bits', 'offset'), ('ishl', 'insert', 'offset'), 'base')),
998 'options->lower_bitfield_insert_to_bitfield_select'),
1000 (('ibitfield_extract', 'value', 'offset', 'bits'),
1001 ('bcsel', ('ult', 31, 'bits'), 'value',
1002 ('ibfe', 'value', 'offset', 'bits')),
1003 'options->lower_bitfield_extract'),
1005 (('ubitfield_extract', 'value', 'offset', 'bits'),
1006 ('bcsel', ('ult', 31, 'bits'), 'value',
1007 ('ubfe', 'value', 'offset', 'bits')),
1008 'options->lower_bitfield_extract'),
1010 # Note that these opcodes are defined to only use the five least significant bits of 'offset' and 'bits'
1011 (('ubfe', 'value', 'offset', ('iand', 31, 'bits')), ('ubfe', 'value', 'offset', 'bits')),
1012 (('ubfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ubfe', 'value', 'offset', 'bits')),
1013 (('ibfe', 'value', 'offset', ('iand', 31, 'bits')), ('ibfe', 'value', 'offset', 'bits')),
1014 (('ibfe', 'value', ('iand', 31, 'offset'), 'bits'), ('ibfe', 'value', 'offset', 'bits')),
1015 (('bfm', 'bits', ('iand', 31, 'offset')), ('bfm', 'bits', 'offset')),
1016 (('bfm', ('iand', 31, 'bits'), 'offset'), ('bfm', 'bits', 'offset')),
1018 (('ibitfield_extract', 'value', 'offset', 'bits'),
1019 ('bcsel', ('ieq', 0, 'bits'),
1022 ('ishl', 'value', ('isub', ('isub', 32, 'bits'), 'offset')),
1023 ('isub', 32, 'bits'))),
1024 'options->lower_bitfield_extract_to_shifts'),
1026 (('ubitfield_extract', 'value', 'offset', 'bits'),
1028 ('ushr', 'value', 'offset'),
1029 ('bcsel', ('ieq', 'bits', 32),
1031 ('isub', ('ishl', 1, 'bits'), 1))),
1032 'options->lower_bitfield_extract_to_shifts'),
1034 (('ifind_msb', 'value'),
1035 ('ufind_msb', ('bcsel', ('ilt', 'value', 0), ('inot', 'value'), 'value')),
1036 'options->lower_ifind_msb'),
1038 (('find_lsb', 'value'),
1039 ('ufind_msb', ('iand', 'value', ('ineg', 'value'))),
1040 'options->lower_find_lsb'),
1042 (('extract_i8', a
, 'b@32'),
1043 ('ishr', ('ishl', a
, ('imul', ('isub', 3, b
), 8)), 24),
1044 'options->lower_extract_byte'),
1046 (('extract_u8', a
, 'b@32'),
1047 ('iand', ('ushr', a
, ('imul', b
, 8)), 0xff),
1048 'options->lower_extract_byte'),
1050 (('extract_i16', a
, 'b@32'),
1051 ('ishr', ('ishl', a
, ('imul', ('isub', 1, b
), 16)), 16),
1052 'options->lower_extract_word'),
1054 (('extract_u16', a
, 'b@32'),
1055 ('iand', ('ushr', a
, ('imul', b
, 16)), 0xffff),
1056 'options->lower_extract_word'),
1058 (('pack_unorm_2x16', 'v'),
1059 ('pack_uvec2_to_uint',
1060 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 65535.0)))),
1061 'options->lower_pack_unorm_2x16'),
1063 (('pack_unorm_4x8', 'v'),
1064 ('pack_uvec4_to_uint',
1065 ('f2u32', ('fround_even', ('fmul', ('fsat', 'v'), 255.0)))),
1066 'options->lower_pack_unorm_4x8'),
1068 (('pack_snorm_2x16', 'v'),
1069 ('pack_uvec2_to_uint',
1070 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 32767.0)))),
1071 'options->lower_pack_snorm_2x16'),
1073 (('pack_snorm_4x8', 'v'),
1074 ('pack_uvec4_to_uint',
1075 ('f2i32', ('fround_even', ('fmul', ('fmin', 1.0, ('fmax', -1.0, 'v')), 127.0)))),
1076 'options->lower_pack_snorm_4x8'),
1078 (('unpack_unorm_2x16', 'v'),
1079 ('fdiv', ('u2f32', ('vec2', ('extract_u16', 'v', 0),
1080 ('extract_u16', 'v', 1))),
1082 'options->lower_unpack_unorm_2x16'),
1084 (('unpack_unorm_4x8', 'v'),
1085 ('fdiv', ('u2f32', ('vec4', ('extract_u8', 'v', 0),
1086 ('extract_u8', 'v', 1),
1087 ('extract_u8', 'v', 2),
1088 ('extract_u8', 'v', 3))),
1090 'options->lower_unpack_unorm_4x8'),
1092 (('unpack_snorm_2x16', 'v'),
1093 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec2', ('extract_i16', 'v', 0),
1094 ('extract_i16', 'v', 1))),
1096 'options->lower_unpack_snorm_2x16'),
1098 (('unpack_snorm_4x8', 'v'),
1099 ('fmin', 1.0, ('fmax', -1.0, ('fdiv', ('i2f', ('vec4', ('extract_i8', 'v', 0),
1100 ('extract_i8', 'v', 1),
1101 ('extract_i8', 'v', 2),
1102 ('extract_i8', 'v', 3))),
1104 'options->lower_unpack_snorm_4x8'),
1106 (('isign', a
), ('imin', ('imax', a
, -1), 1), 'options->lower_isign'),
1107 (('fsign', a
), ('fsub', ('b2f', ('flt', 0.0, a
)), ('b2f', ('flt', a
, 0.0))), 'options->lower_fsign'),
1110 # bit_size dependent lowerings
1111 for bit_size
in [8, 16, 32, 64]:
1112 # convenience constants
1113 intmax
= (1 << (bit_size
- 1)) - 1
1114 intmin
= 1 << (bit_size
- 1)
1117 (('iadd_sat@' + str(bit_size
), a
, b
),
1118 ('bcsel', ('ige', b
, 1), ('bcsel', ('ilt', ('iadd', a
, b
), a
), intmax
, ('iadd', a
, b
)),
1119 ('bcsel', ('ilt', a
, ('iadd', a
, b
)), intmin
, ('iadd', a
, b
))), 'options->lower_add_sat'),
1120 (('isub_sat@' + str(bit_size
), a
, b
),
1121 ('bcsel', ('ilt', b
, 0), ('bcsel', ('ilt', ('isub', a
, b
), a
), intmax
, ('isub', a
, b
)),
1122 ('bcsel', ('ilt', a
, ('isub', a
, b
)), intmin
, ('isub', a
, b
))), 'options->lower_add_sat'),
1125 invert
= OrderedDict([('feq', 'fne'), ('fne', 'feq'), ('fge', 'flt'), ('flt', 'fge')])
1127 for left
, right
in itertools
.combinations_with_replacement(invert
.keys(), 2):
1128 optimizations
.append((('inot', ('ior(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
1129 ('iand', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
1130 optimizations
.append((('inot', ('iand(is_used_once)', (left
, a
, b
), (right
, c
, d
))),
1131 ('ior', (invert
[left
], a
, b
), (invert
[right
], c
, d
))))
1133 # Optimize x2bN(b2x(x)) -> x
1134 for size
in type_sizes('bool'):
1135 aN
= 'a@' + str(size
)
1136 f2bN
= 'f2b' + str(size
)
1137 i2bN
= 'i2b' + str(size
)
1138 optimizations
.append(((f2bN
, ('b2f', aN
)), a
))
1139 optimizations
.append(((i2bN
, ('b2i', aN
)), a
))
1141 # Optimize x2yN(b2x(x)) -> b2y
1142 for x
, y
in itertools
.product(['f', 'u', 'i'], ['f', 'u', 'i']):
1143 if x
!= 'f' and y
!= 'f' and x
!= y
:
1146 b2x
= 'b2f' if x
== 'f' else 'b2i'
1147 b2y
= 'b2f' if y
== 'f' else 'b2i'
1148 x2yN
= '{}2{}'.format(x
, y
)
1149 optimizations
.append(((x2yN
, (b2x
, a
)), (b2y
, a
)))
1151 # Optimize away x2xN(a@N)
1152 for t
in ['int', 'uint', 'float']:
1153 for N
in type_sizes(t
):
1154 x2xN
= '{0}2{0}{1}'.format(t
[0], N
)
1155 aN
= 'a@{0}'.format(N
)
1156 optimizations
.append(((x2xN
, aN
), a
))
1158 # Optimize x2xN(y2yM(a@P)) -> y2yN(a) for integers
1159 # In particular, we can optimize away everything except upcast of downcast and
1160 # upcasts where the type differs from the other cast
1161 for N
, M
in itertools
.product(type_sizes('uint'), type_sizes('uint')):
1163 # The outer cast is a down-cast. It doesn't matter what the size of the
1164 # argument of the inner cast is because we'll never been in the upcast
1165 # of downcast case. Regardless of types, we'll always end up with y2yN
1167 for x
, y
in itertools
.product(['i', 'u'], ['i', 'u']):
1168 x2xN
= '{0}2{0}{1}'.format(x
, N
)
1169 y2yM
= '{0}2{0}{1}'.format(y
, M
)
1170 y2yN
= '{0}2{0}{1}'.format(y
, N
)
1171 optimizations
.append(((x2xN
, (y2yM
, a
)), (y2yN
, a
)))
1173 # If the outer cast is an up-cast, we have to be more careful about the
1174 # size of the argument of the inner cast and with types. In this case,
1175 # the type is always the type of type up-cast which is given by the
1177 for P
in type_sizes('uint'):
1178 # We can't optimize away up-cast of down-cast.
1182 # Because we're doing down-cast of down-cast, the types always have
1183 # to match between the two casts
1184 for x
in ['i', 'u']:
1185 x2xN
= '{0}2{0}{1}'.format(x
, N
)
1186 x2xM
= '{0}2{0}{1}'.format(x
, M
)
1187 aP
= 'a@{0}'.format(P
)
1188 optimizations
.append(((x2xN
, (x2xM
, aP
)), (x2xN
, a
)))
1190 # The N == M case is handled by other optimizations
1193 # Optimize comparisons with up-casts
1194 for t
in ['int', 'uint', 'float']:
1195 for N
, M
in itertools
.product(type_sizes(t
), repeat
=2):
1196 if N
== 1 or N
>= M
:
1199 x2xM
= '{0}2{0}{1}'.format(t
[0], M
)
1200 x2xN
= '{0}2{0}{1}'.format(t
[0], N
)
1203 xeq
= 'feq' if t
== 'float' else 'ieq'
1204 xne
= 'fne' if t
== 'float' else 'ine'
1205 xge
= '{0}ge'.format(t
[0])
1206 xlt
= '{0}lt'.format(t
[0])
1208 # Up-casts are lossless so for correctly signed comparisons of
1209 # up-casted values we can do the comparison at the largest of the two
1210 # original sizes and drop one or both of the casts. (We have
1211 # optimizations to drop the no-op casts which this may generate.)
1212 for P
in type_sizes(t
):
1218 ((xeq
, (x2xM
, aN
), (x2xM
, bP
)), (xeq
, a
, (x2xN
, b
))),
1219 ((xne
, (x2xM
, aN
), (x2xM
, bP
)), (xne
, a
, (x2xN
, b
))),
1220 ((xge
, (x2xM
, aN
), (x2xM
, bP
)), (xge
, a
, (x2xN
, b
))),
1221 ((xlt
, (x2xM
, aN
), (x2xM
, bP
)), (xlt
, a
, (x2xN
, b
))),
1222 ((xge
, (x2xM
, bP
), (x2xM
, aN
)), (xge
, (x2xN
, b
), a
)),
1223 ((xlt
, (x2xM
, bP
), (x2xM
, aN
)), (xlt
, (x2xN
, b
), a
)),
1226 # The next bit doesn't work on floats because the range checks would
1227 # get way too complicated.
1228 if t
in ['int', 'uint']:
1230 xN_min
= -(1 << (N
- 1))
1231 xN_max
= (1 << (N
- 1)) - 1
1234 xN_max
= (1 << N
) - 1
1238 # If we're up-casting and comparing to a constant, we can unfold
1239 # the comparison into a comparison with the shrunk down constant
1240 # and a check that the constant fits in the smaller bit size.
1242 ((xeq
, (x2xM
, aN
), '#b'),
1243 ('iand', (xeq
, a
, (x2xN
, b
)), (xeq
, (x2xM
, (x2xN
, b
)), b
))),
1244 ((xne
, (x2xM
, aN
), '#b'),
1245 ('ior', (xne
, a
, (x2xN
, b
)), (xne
, (x2xM
, (x2xN
, b
)), b
))),
1246 ((xlt
, (x2xM
, aN
), '#b'),
1247 ('iand', (xlt
, xN_min
, b
),
1248 ('ior', (xlt
, xN_max
, b
), (xlt
, a
, (x2xN
, b
))))),
1249 ((xlt
, '#a', (x2xM
, bN
)),
1250 ('iand', (xlt
, a
, xN_max
),
1251 ('ior', (xlt
, a
, xN_min
), (xlt
, (x2xN
, a
), b
)))),
1252 ((xge
, (x2xM
, aN
), '#b'),
1253 ('iand', (xge
, xN_max
, b
),
1254 ('ior', (xge
, xN_min
, b
), (xge
, a
, (x2xN
, b
))))),
1255 ((xge
, '#a', (x2xM
, bN
)),
1256 ('iand', (xge
, a
, xN_min
),
1257 ('ior', (xge
, a
, xN_max
), (xge
, (x2xN
, a
), b
)))),
1260 def fexp2i(exp
, bits
):
1261 # We assume that exp is already in the right range.
1263 return ('i2i16', ('ishl', ('iadd', exp
, 15), 10))
1265 return ('ishl', ('iadd', exp
, 127), 23)
1267 return ('pack_64_2x32_split', 0, ('ishl', ('iadd', exp
, 1023), 20))
1271 def ldexp(f
, exp
, bits
):
1272 # First, we clamp exp to a reasonable range. The maximum possible range
1273 # for a normal exponent is [-126, 127] and, throwing in denormals, you get
1274 # a maximum range of [-149, 127]. This means that we can potentially have
1275 # a swing of +-276. If you start with FLT_MAX, you actually have to do
1276 # ldexp(FLT_MAX, -278) to get it to flush all the way to zero. The GLSL
1277 # spec, on the other hand, only requires that we handle an exponent value
1278 # in the range [-126, 128]. This implementation is *mostly* correct; it
1279 # handles a range on exp of [-252, 254] which allows you to create any
1280 # value (including denorms if the hardware supports it) and to adjust the
1281 # exponent of any normal value to anything you want.
1283 exp
= ('imin', ('imax', exp
, -28), 30)
1285 exp
= ('imin', ('imax', exp
, -252), 254)
1287 exp
= ('imin', ('imax', exp
, -2044), 2046)
1291 # Now we compute two powers of 2, one for exp/2 and one for exp-exp/2.
1292 # (We use ishr which isn't the same for -1, but the -1 case still works
1293 # since we use exp-exp/2 as the second exponent.) While the spec
1294 # technically defines ldexp as f * 2.0^exp, simply multiplying once doesn't
1295 # work with denormals and doesn't allow for the full swing in exponents
1296 # that you can get with normalized values. Instead, we create two powers
1297 # of two and multiply by them each in turn. That way the effective range
1298 # of our exponent is doubled.
1299 pow2_1
= fexp2i(('ishr', exp
, 1), bits
)
1300 pow2_2
= fexp2i(('isub', exp
, ('ishr', exp
, 1)), bits
)
1301 return ('fmul', ('fmul', f
, pow2_1
), pow2_2
)
1304 (('ldexp@16', 'x', 'exp'), ldexp('x', 'exp', 16), 'options->lower_ldexp'),
1305 (('ldexp@32', 'x', 'exp'), ldexp('x', 'exp', 32), 'options->lower_ldexp'),
1306 (('ldexp@64', 'x', 'exp'), ldexp('x', 'exp', 64), 'options->lower_ldexp'),
1309 # Unreal Engine 4 demo applications open-codes bitfieldReverse()
1310 def bitfield_reverse(u
):
1311 step1
= ('ior', ('ishl', u
, 16), ('ushr', u
, 16))
1312 step2
= ('ior', ('ishl', ('iand', step1
, 0x00ff00ff), 8), ('ushr', ('iand', step1
, 0xff00ff00), 8))
1313 step3
= ('ior', ('ishl', ('iand', step2
, 0x0f0f0f0f), 4), ('ushr', ('iand', step2
, 0xf0f0f0f0), 4))
1314 step4
= ('ior', ('ishl', ('iand', step3
, 0x33333333), 2), ('ushr', ('iand', step3
, 0xcccccccc), 2))
1315 step5
= ('ior(many-comm-expr)', ('ishl', ('iand', step4
, 0x55555555), 1), ('ushr', ('iand', step4
, 0xaaaaaaaa), 1))
1319 optimizations
+= [(bitfield_reverse('x@32'), ('bitfield_reverse', 'x'))]
1321 # For any float comparison operation, "cmp", if you have "a == a && a cmp b"
1322 # then the "a == a" is redundant because it's equivalent to "a is not NaN"
1323 # and, if a is a NaN then the second comparison will fail anyway.
1324 for op
in ['flt', 'fge', 'feq']:
1326 (('iand', ('feq', a
, a
), (op
, a
, b
)), (op
, a
, b
)),
1327 (('iand', ('feq', a
, a
), (op
, b
, a
)), (op
, b
, a
)),
1330 # Add optimizations to handle the case where the result of a ternary is
1331 # compared to a constant. This way we can take things like
1337 # a ? (0 > 0) : (1 > 0)
1339 # which constant folding will eat for lunch. The resulting ternary will
1340 # further get cleaned up by the boolean reductions above and we will be
1341 # left with just the original variable "a".
1342 for op
in ['flt', 'fge', 'feq', 'fne',
1343 'ilt', 'ige', 'ieq', 'ine', 'ult', 'uge']:
1345 ((op
, ('bcsel', 'a', '#b', '#c'), '#d'),
1346 ('bcsel', 'a', (op
, 'b', 'd'), (op
, 'c', 'd'))),
1347 ((op
, '#d', ('bcsel', a
, '#b', '#c')),
1348 ('bcsel', 'a', (op
, 'd', 'b'), (op
, 'd', 'c'))),
1352 # For example, this converts things like
1354 # 1 + mix(0, a - 1, condition)
1358 # mix(1, (a-1)+1, condition)
1360 # Other optimizations will rearrange the constants.
1361 for op
in ['fadd', 'fmul', 'iadd', 'imul']:
1363 ((op
, ('bcsel(is_used_once)', a
, '#b', c
), '#d'), ('bcsel', a
, (op
, b
, d
), (op
, c
, d
)))
1366 # For derivatives in compute shaders, GLSL_NV_compute_shader_derivatives
1369 # If neither layout qualifier is specified, derivatives in compute shaders
1370 # return zero, which is consistent with the handling of built-in texture
1371 # functions like texture() in GLSL 4.50 compute shaders.
1372 for op
in ['fddx', 'fddx_fine', 'fddx_coarse',
1373 'fddy', 'fddy_fine', 'fddy_coarse']:
1375 ((op
, 'a'), 0.0, 'info->stage == MESA_SHADER_COMPUTE && info->cs.derivative_group == DERIVATIVE_GROUP_NONE')
1378 # Some optimizations for ir3-specific instructions.
1380 # 'al * bl': If either 'al' or 'bl' is zero, return zero.
1381 (('umul_low', '#a(is_lower_half_zero)', 'b'), (0)),
1382 # '(ah * bl) << 16 + c': If either 'ah' or 'bl' is zero, return 'c'.
1383 (('imadsh_mix16', '#a@32(is_lower_half_zero)', 'b@32', 'c@32'), ('c')),
1384 (('imadsh_mix16', 'a@32', '#b@32(is_upper_half_zero)', 'c@32'), ('c')),
1387 # This section contains "late" optimizations that should be run before
1388 # creating ffmas and calling regular optimizations for the final time.
1389 # Optimizations should go here if they help code generation and conflict
1390 # with the regular optimizations.
1391 before_ffma_optimizations
= [
1392 # Propagate constants down multiplication chains
1393 (('~fmul(is_used_once)', ('fmul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fmul', ('fmul', a
, c
), b
)),
1394 (('imul(is_used_once)', ('imul(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('imul', ('imul', a
, c
), b
)),
1395 (('~fadd(is_used_once)', ('fadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('fadd', ('fadd', a
, c
), b
)),
1396 (('iadd(is_used_once)', ('iadd(is_used_once)', 'a(is_not_const)', '#b'), 'c(is_not_const)'), ('iadd', ('iadd', a
, c
), b
)),
1398 (('~fadd', ('fmul', a
, b
), ('fmul', a
, c
)), ('fmul', a
, ('fadd', b
, c
))),
1399 (('iadd', ('imul', a
, b
), ('imul', a
, c
)), ('imul', a
, ('iadd', b
, c
))),
1400 (('~fadd', ('fneg', a
), a
), 0.0),
1401 (('iadd', ('ineg', a
), a
), 0),
1402 (('iadd', ('ineg', a
), ('iadd', a
, b
)), b
),
1403 (('iadd', a
, ('iadd', ('ineg', a
), b
)), b
),
1404 (('~fadd', ('fneg', a
), ('fadd', a
, b
)), b
),
1405 (('~fadd', a
, ('fadd', ('fneg', a
), b
)), b
),
1407 (('~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
)),
1408 (('~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
)),
1409 (('~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
))),
1412 # This section contains "late" optimizations that should be run after the
1413 # regular optimizations have finished. Optimizations should go here if
1414 # they help code generation but do not necessarily produce code that is
1415 # more easily optimizable.
1416 late_optimizations
= [
1417 # Most of these optimizations aren't quite safe when you get infinity or
1418 # Nan involved but the first one should be fine.
1419 (('flt', ('fadd', a
, b
), 0.0), ('flt', a
, ('fneg', b
))),
1420 (('flt', ('fneg', ('fadd', a
, b
)), 0.0), ('flt', ('fneg', a
), b
)),
1421 (('~fge', ('fadd', a
, b
), 0.0), ('fge', a
, ('fneg', b
))),
1422 (('~fge', ('fneg', ('fadd', a
, b
)), 0.0), ('fge', ('fneg', a
), b
)),
1423 (('~feq', ('fadd', a
, b
), 0.0), ('feq', a
, ('fneg', b
))),
1424 (('~fne', ('fadd', a
, b
), 0.0), ('fne', a
, ('fneg', b
))),
1426 # nir_lower_to_source_mods will collapse this, but its existence during the
1427 # optimization loop can prevent other optimizations.
1428 (('fneg', ('fneg', a
)), a
),
1430 # These are duplicated from the main optimizations table. The late
1431 # patterns that rearrange expressions like x - .5 < 0 to x < .5 can create
1432 # new patterns like these. The patterns that compare with zero are removed
1433 # because they are unlikely to be created in by anything in
1434 # late_optimizations.
1435 (('flt', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('flt', a
, b
)),
1436 (('flt', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('flt', b
, a
)),
1437 (('fge', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fge', a
, b
)),
1438 (('fge', '#b(is_gt_0_and_lt_1)', ('fsat(is_used_once)', a
)), ('fge', b
, a
)),
1439 (('feq', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('feq', a
, b
)),
1440 (('fne', ('fsat(is_used_once)', a
), '#b(is_gt_0_and_lt_1)'), ('fne', a
, b
)),
1442 (('fge', ('fsat(is_used_once)', a
), 1.0), ('fge', a
, 1.0)),
1443 (('flt', ('fsat(is_used_once)', a
), 1.0), ('flt', a
, 1.0)),
1445 (('~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
)))),
1447 (('flt', ('fneg', a
), ('fneg', b
)), ('flt', b
, a
)),
1448 (('fge', ('fneg', a
), ('fneg', b
)), ('fge', b
, a
)),
1449 (('feq', ('fneg', a
), ('fneg', b
)), ('feq', b
, a
)),
1450 (('fne', ('fneg', a
), ('fneg', b
)), ('fne', b
, a
)),
1451 (('flt', ('fneg', a
), -1.0), ('flt', 1.0, a
)),
1452 (('flt', -1.0, ('fneg', a
)), ('flt', a
, 1.0)),
1453 (('fge', ('fneg', a
), -1.0), ('fge', 1.0, a
)),
1454 (('fge', -1.0, ('fneg', a
)), ('fge', a
, 1.0)),
1455 (('fne', ('fneg', a
), -1.0), ('fne', 1.0, a
)),
1456 (('feq', -1.0, ('fneg', a
)), ('feq', a
, 1.0)),
1459 (('iand', a
, a
), a
),
1461 (('~fadd', ('fneg(is_used_once)', ('fsat(is_used_once)', 'a(is_not_fmul)')), 1.0), ('fsat', ('fadd', 1.0, ('fneg', a
)))),
1463 (('fdot2', a
, b
), ('fdot_replicated2', a
, b
), 'options->fdot_replicates'),
1464 (('fdot3', a
, b
), ('fdot_replicated3', a
, b
), 'options->fdot_replicates'),
1465 (('fdot4', a
, b
), ('fdot_replicated4', a
, b
), 'options->fdot_replicates'),
1466 (('fdph', a
, b
), ('fdph_replicated', a
, b
), 'options->fdot_replicates'),
1468 (('~flrp@32', ('fadd(is_used_once)', a
, b
), ('fadd(is_used_once)', a
, c
), d
), ('fadd', ('flrp', b
, c
, d
), a
)),
1469 (('~flrp@64', ('fadd(is_used_once)', a
, b
), ('fadd(is_used_once)', a
, c
), d
), ('fadd', ('flrp', b
, c
, d
), a
)),
1471 (('~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'),
1472 (('~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'),
1474 # A similar operation could apply to any ffma(#a, b, #(-a/2)), but this
1475 # particular operation is common for expanding values stored in a texture
1476 # from [0,1] to [-1,1].
1477 (('~ffma@32', a
, 2.0, -1.0), ('flrp', -1.0, 1.0, a
), '!options->lower_flrp32'),
1478 (('~ffma@32', a
, -2.0, -1.0), ('flrp', -1.0, 1.0, ('fneg', a
)), '!options->lower_flrp32'),
1479 (('~ffma@32', a
, -2.0, 1.0), ('flrp', 1.0, -1.0, a
), '!options->lower_flrp32'),
1480 (('~ffma@32', a
, 2.0, 1.0), ('flrp', 1.0, -1.0, ('fneg', a
)), '!options->lower_flrp32'),
1481 (('~fadd@32', ('fmul(is_used_once)', 2.0, a
), -1.0), ('flrp', -1.0, 1.0, a
), '!options->lower_flrp32'),
1482 (('~fadd@32', ('fmul(is_used_once)', -2.0, a
), -1.0), ('flrp', -1.0, 1.0, ('fneg', a
)), '!options->lower_flrp32'),
1483 (('~fadd@32', ('fmul(is_used_once)', -2.0, a
), 1.0), ('flrp', 1.0, -1.0, a
), '!options->lower_flrp32'),
1484 (('~fadd@32', ('fmul(is_used_once)', 2.0, a
), 1.0), ('flrp', 1.0, -1.0, ('fneg', a
)), '!options->lower_flrp32'),
1488 # a + -a*a + a*b (1)
1490 # Option 1: ffma(a, (b-a), a)
1492 # Alternately, after (1):
1498 # Option 2: ffma(a, 2, -(a*a))
1499 # Option 3: ffma(a, 2, (-a)*a)
1500 # Option 4: ffma(a, -a, (2*a)
1501 # Option 5: a * (2 - a)
1503 # There are a lot of other possible combinations.
1504 (('~ffma@32', ('fadd', b
, ('fneg', a
)), a
, a
), ('flrp', a
, b
, a
), '!options->lower_flrp32'),
1505 (('~ffma@32', a
, 2.0, ('fneg', ('fmul', a
, a
))), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
1506 (('~ffma@32', a
, 2.0, ('fmul', ('fneg', a
), a
)), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
1507 (('~ffma@32', a
, ('fneg', a
), ('fmul', 2.0, a
)), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
1508 (('~fmul@32', a
, ('fadd', 2.0, ('fneg', a
))), ('flrp', a
, 1.0, a
), '!options->lower_flrp32'),
1510 # we do these late so that we don't get in the way of creating ffmas
1511 (('fmin', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmin', a
, b
))),
1512 (('fmax', ('fadd(is_used_once)', '#c', a
), ('fadd(is_used_once)', '#c', b
)), ('fadd', c
, ('fmax', a
, b
))),
1514 (('bcsel', a
, 0, ('b2f32', ('inot', 'b@bool'))), ('b2f32', ('inot', ('ior', a
, b
)))),
1516 # Things that look like DPH in the source shader may get expanded to
1517 # something that looks like dot(v1.xyz, v2.xyz) + v1.w by the time it gets
1518 # to NIR. After FFMA is generated, this can look like:
1520 # fadd(ffma(v1.z, v2.z, ffma(v1.y, v2.y, fmul(v1.x, v2.x))), v1.w)
1522 # Reassociate the last addition into the first multiplication.
1523 (('~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)'),
1524 ('ffma', a
, b
, ('ffma', c
, d
, ('ffma', e
, 'f', 'g'))), '!options->intel_vec4'),
1525 (('~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)'),
1526 ('ffma', a
, b
, ('ffma', e
, 'f', 'g') ), '!options->intel_vec4'),
1529 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic", optimizations
).render())
1530 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_before_ffma",
1531 before_ffma_optimizations
).render())
1532 print(nir_algebraic
.AlgebraicPass("nir_opt_algebraic_late",
1533 late_optimizations
).render())
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