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cmd/compile: in prove, add transitive closure of relations
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Implement it through a partial order datastructure, which
keeps the relations between SSA values in a forest of DAGs
and is able to discover contradictions.

In make.bash, this patch is able to prove hundreds of conditions
which were not proved before.

Compilebench:

name       old time/op       new time/op       delta
Template         371ms ± 2%        368ms ± 1%    ~     (p=0.222 n=5+5)
Unicode          203ms ± 6%        199ms ± 3%    ~     (p=0.421 n=5+5)
GoTypes          1.17s ± 4%        1.18s ± 1%    ~     (p=0.151 n=5+5)
Compiler         5.54s ± 2%        5.59s ± 1%    ~     (p=0.548 n=5+5)
SSA              12.9s ± 2%        13.2s ± 1%  +2.96%  (p=0.032 n=5+5)
Flate            245ms ± 2%        247ms ± 3%    ~     (p=0.690 n=5+5)
GoParser         302ms ± 6%        302ms ± 4%    ~     (p=0.548 n=5+5)
Reflect          764ms ± 4%        773ms ± 3%    ~     (p=0.095 n=5+5)
Tar              354ms ± 6%        361ms ± 3%    ~     (p=0.222 n=5+5)
XML              434ms ± 3%        429ms ± 1%    ~     (p=0.421 n=5+5)
StdCmd           22.6s ± 1%        22.9s ± 1%  +1.40%  (p=0.032 n=5+5)

name       old user-time/op  new user-time/op  delta
Template         436ms ± 8%        426ms ± 5%    ~     (p=0.579 n=5+5)
Unicode          219ms ±15%        219ms ±12%    ~     (p=1.000 n=5+5)
GoTypes          1.47s ± 6%        1.53s ± 6%    ~     (p=0.222 n=5+5)
Compiler         7.26s ± 4%        7.40s ± 2%    ~     (p=0.389 n=5+5)
SSA              17.7s ± 4%        18.5s ± 4%  +4.13%  (p=0.032 n=5+5)
Flate            257ms ± 5%        268ms ± 9%    ~     (p=0.333 n=5+5)
GoParser         354ms ± 6%        348ms ± 6%    ~     (p=0.913 n=5+5)
Reflect          904ms ± 2%        944ms ± 4%    ~     (p=0.056 n=5+5)
Tar              398ms ±11%        430ms ± 7%    ~     (p=0.079 n=5+5)
XML              501ms ± 7%        489ms ± 5%    ~     (p=0.444 n=5+5)

name       old text-bytes    new text-bytes    delta
HelloSize        670kB ± 0%        670kB ± 0%  +0.00%  (p=0.008 n=5+5)
CmdGoSize       7.22MB ± 0%       7.21MB ± 0%  -0.07%  (p=0.008 n=5+5)

name       old data-bytes    new data-bytes    delta
HelloSize       9.88kB ± 0%       9.88kB ± 0%    ~     (all equal)
CmdGoSize        248kB ± 0%        248kB ± 0%  -0.06%  (p=0.008 n=5+5)

name       old bss-bytes     new bss-bytes     delta
HelloSize        125kB ± 0%        125kB ± 0%    ~     (all equal)
CmdGoSize        145kB ± 0%        144kB ± 0%  -0.20%  (p=0.008 n=5+5)

name       old exe-bytes     new exe-bytes     delta
HelloSize       1.43MB ± 0%       1.43MB ± 0%    ~     (all equal)
CmdGoSize       14.5MB ± 0%       14.5MB ± 0%  -0.06%  (p=0.008 n=5+5)

Fixes #19714
Updates #20393

Change-Id: Ia090f5b5dc1bcd274ba8a39b233c1e1ace1b330e
Reviewed-on: https://go-review.googlesource.com/100277
Run-TryBot: Giovanni Bajo <rasky@develer.com>
Reviewed-by: David Chase <drchase@google.com>
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@rasky
rasky committed Apr 29, 2018
1 parent 5af0b28 commit 5c40210
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Showing 5 changed files with 1,987 additions and 51 deletions.
58 changes: 31 additions & 27 deletions src/cmd/compile/fmt_test.go
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Original file line number Diff line number Diff line change
Expand Up @@ -610,6 +610,7 @@ var knownFormats = map[string]string{
"[]cmd/compile/internal/ssa.ID %v": "",
"[]cmd/compile/internal/syntax.token %s": "",
"[]string %v": "",
"[]uint32 %v": "",
"bool %v": "",
"byte %08b": "",
"byte %c": "",
Expand Down Expand Up @@ -645,6 +646,8 @@ var knownFormats = map[string]string{
"cmd/compile/internal/ssa.Op %s": "",
"cmd/compile/internal/ssa.Op %v": "",
"cmd/compile/internal/ssa.ValAndOff %s": "",
"cmd/compile/internal/ssa.posetNode %v": "",
"cmd/compile/internal/ssa.posetTestOp %v": "",
"cmd/compile/internal/ssa.rbrank %d": "",
"cmd/compile/internal/ssa.regMask %d": "",
"cmd/compile/internal/ssa.register %d": "",
Expand Down Expand Up @@ -693,31 +696,32 @@ var knownFormats = map[string]string{
"interface{} %s": "",
"interface{} %v": "",
"map[*cmd/compile/internal/gc.Node]*cmd/compile/internal/ssa.Value %v": "",
"reflect.Type %s": "",
"rune %#U": "",
"rune %c": "",
"string %-*s": "",
"string %-16s": "",
"string %-6s": "",
"string %.*s": "",
"string %q": "",
"string %s": "",
"string %v": "",
"time.Duration %d": "",
"time.Duration %v": "",
"uint %04x": "",
"uint %5d": "",
"uint %d": "",
"uint %x": "",
"uint16 %d": "",
"uint16 %v": "",
"uint16 %x": "",
"uint32 %d": "",
"uint32 %x": "",
"uint64 %08x": "",
"uint64 %d": "",
"uint64 %x": "",
"uint8 %d": "",
"uint8 %x": "",
"uintptr %d": "",
"map[cmd/compile/internal/ssa.ID]uint32 %v": "",
"reflect.Type %s": "",
"rune %#U": "",
"rune %c": "",
"string %-*s": "",
"string %-16s": "",
"string %-6s": "",
"string %.*s": "",
"string %q": "",
"string %s": "",
"string %v": "",
"time.Duration %d": "",
"time.Duration %v": "",
"uint %04x": "",
"uint %5d": "",
"uint %d": "",
"uint %x": "",
"uint16 %d": "",
"uint16 %v": "",
"uint16 %x": "",
"uint32 %d": "",
"uint32 %x": "",
"uint64 %08x": "",
"uint64 %d": "",
"uint64 %x": "",
"uint8 %d": "",
"uint8 %x": "",
"uintptr %d": "",
}
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