mirror of
https://github.com/autc04/Retro68.git
synced 2024-12-01 11:52:47 +00:00
406 lines
14 KiB
Go
406 lines
14 KiB
Go
// Copyright 2015 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package big
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import (
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"bytes"
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"fmt"
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"io"
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"math/bits"
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"strings"
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"testing"
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)
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func TestMaxBase(t *testing.T) {
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if MaxBase != len(digits) {
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t.Fatalf("%d != %d", MaxBase, len(digits))
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}
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}
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// log2 computes the integer binary logarithm of x.
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// The result is the integer n for which 2^n <= x < 2^(n+1).
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// If x == 0, the result is -1.
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func log2(x Word) int {
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return bits.Len(uint(x)) - 1
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}
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func itoa(x nat, base int) []byte {
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// special cases
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switch {
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case base < 2:
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panic("illegal base")
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case len(x) == 0:
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return []byte("0")
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}
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// allocate buffer for conversion
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i := x.bitLen()/log2(Word(base)) + 1 // +1: round up
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s := make([]byte, i)
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// don't destroy x
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q := nat(nil).set(x)
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// convert
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for len(q) > 0 {
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i--
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var r Word
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q, r = q.divW(q, Word(base))
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s[i] = digits[r]
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}
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return s[i:]
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}
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var strTests = []struct {
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x nat // nat value to be converted
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b int // conversion base
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s string // expected result
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}{
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{nil, 2, "0"},
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{nat{1}, 2, "1"},
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{nat{0xc5}, 2, "11000101"},
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{nat{03271}, 8, "3271"},
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{nat{10}, 10, "10"},
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{nat{1234567890}, 10, "1234567890"},
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{nat{0xdeadbeef}, 16, "deadbeef"},
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{nat{0x229be7}, 17, "1a2b3c"},
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{nat{0x309663e6}, 32, "o9cov6"},
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{nat{0x309663e6}, 62, "TakXI"},
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}
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func TestString(t *testing.T) {
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// test invalid base explicitly
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var panicStr string
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func() {
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defer func() {
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panicStr = recover().(string)
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}()
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natOne.utoa(1)
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}()
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if panicStr != "invalid base" {
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t.Errorf("expected panic for invalid base")
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}
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for _, a := range strTests {
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s := string(a.x.utoa(a.b))
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if s != a.s {
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t.Errorf("string%+v\n\tgot s = %s; want %s", a, s, a.s)
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}
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x, b, _, err := nat(nil).scan(strings.NewReader(a.s), a.b, false)
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if x.cmp(a.x) != 0 {
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t.Errorf("scan%+v\n\tgot z = %v; want %v", a, x, a.x)
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}
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if b != a.b {
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t.Errorf("scan%+v\n\tgot b = %d; want %d", a, b, a.b)
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}
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if err != nil {
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t.Errorf("scan%+v\n\tgot error = %s", a, err)
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}
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}
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}
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var natScanTests = []struct {
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s string // string to be scanned
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base int // input base
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frac bool // fraction ok
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x nat // expected nat
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b int // expected base
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count int // expected digit count
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ok bool // expected success
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next rune // next character (or 0, if at EOF)
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}{
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// error: no mantissa
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{},
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{s: "?"},
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{base: 10},
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{base: 36},
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{base: 62},
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{s: "?", base: 10},
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{s: "0x"},
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{s: "345", base: 2},
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// error: incorrect use of decimal point
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{s: ".0"},
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{s: ".0", base: 10},
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{s: ".", base: 0},
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{s: "0x.0"},
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// no errors
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{"0", 0, false, nil, 10, 1, true, 0},
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{"0", 10, false, nil, 10, 1, true, 0},
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{"0", 36, false, nil, 36, 1, true, 0},
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{"0", 62, false, nil, 62, 1, true, 0},
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{"1", 0, false, nat{1}, 10, 1, true, 0},
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{"1", 10, false, nat{1}, 10, 1, true, 0},
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{"0 ", 0, false, nil, 10, 1, true, ' '},
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{"08", 0, false, nil, 10, 1, true, '8'},
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{"08", 10, false, nat{8}, 10, 2, true, 0},
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{"018", 0, false, nat{1}, 8, 1, true, '8'},
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{"0b1", 0, false, nat{1}, 2, 1, true, 0},
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{"0b11000101", 0, false, nat{0xc5}, 2, 8, true, 0},
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{"03271", 0, false, nat{03271}, 8, 4, true, 0},
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{"10ab", 0, false, nat{10}, 10, 2, true, 'a'},
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{"1234567890", 0, false, nat{1234567890}, 10, 10, true, 0},
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{"A", 36, false, nat{10}, 36, 1, true, 0},
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{"A", 37, false, nat{36}, 37, 1, true, 0},
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{"xyz", 36, false, nat{(33*36+34)*36 + 35}, 36, 3, true, 0},
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{"XYZ?", 36, false, nat{(33*36+34)*36 + 35}, 36, 3, true, '?'},
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{"XYZ?", 62, false, nat{(59*62+60)*62 + 61}, 62, 3, true, '?'},
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{"0x", 16, false, nil, 16, 1, true, 'x'},
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{"0xdeadbeef", 0, false, nat{0xdeadbeef}, 16, 8, true, 0},
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{"0XDEADBEEF", 0, false, nat{0xdeadbeef}, 16, 8, true, 0},
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// no errors, decimal point
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{"0.", 0, false, nil, 10, 1, true, '.'},
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{"0.", 10, true, nil, 10, 0, true, 0},
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{"0.1.2", 10, true, nat{1}, 10, -1, true, '.'},
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{".000", 10, true, nil, 10, -3, true, 0},
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{"12.3", 10, true, nat{123}, 10, -1, true, 0},
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{"012.345", 10, true, nat{12345}, 10, -3, true, 0},
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}
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func TestScanBase(t *testing.T) {
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for _, a := range natScanTests {
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r := strings.NewReader(a.s)
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x, b, count, err := nat(nil).scan(r, a.base, a.frac)
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if err == nil && !a.ok {
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t.Errorf("scan%+v\n\texpected error", a)
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}
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if err != nil {
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if a.ok {
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t.Errorf("scan%+v\n\tgot error = %s", a, err)
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}
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continue
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}
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if x.cmp(a.x) != 0 {
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t.Errorf("scan%+v\n\tgot z = %v; want %v", a, x, a.x)
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}
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if b != a.b {
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t.Errorf("scan%+v\n\tgot b = %d; want %d", a, b, a.base)
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}
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if count != a.count {
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t.Errorf("scan%+v\n\tgot count = %d; want %d", a, count, a.count)
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}
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next, _, err := r.ReadRune()
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if err == io.EOF {
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next = 0
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err = nil
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}
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if err == nil && next != a.next {
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t.Errorf("scan%+v\n\tgot next = %q; want %q", a, next, a.next)
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}
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}
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}
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var pi = "3" +
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"14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651" +
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"32823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461" +
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"28475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920" +
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"96282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179" +
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"31051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798" +
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"60943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901" +
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"22495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837" +
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"29780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083" +
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"81420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909" +
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"21642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151" +
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"55748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035" +
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"63707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104" +
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"75216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992" +
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"45863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818" +
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"34797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548" +
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"16136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179" +
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"04946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886" +
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"26945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645" +
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"99581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745" +
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"53050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382" +
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"68683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244" +
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"13654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767" +
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"88952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288" +
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"79710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821" +
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"68299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610" +
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"21359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435" +
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"06430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675" +
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"14269123974894090718649423196156794520809514655022523160388193014209376213785595663893778708303906979207734672" +
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"21825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539" +
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"05796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007" +
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"23055876317635942187312514712053292819182618612586732157919841484882916447060957527069572209175671167229109816" +
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"90915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398" +
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"31501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064" +
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"20467525907091548141654985946163718027098199430992448895757128289059232332609729971208443357326548938239119325" +
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"97463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100" +
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"44929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915" +
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"44110104468232527162010526522721116603966655730925471105578537634668206531098965269186205647693125705863566201" +
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"85581007293606598764861179104533488503461136576867532494416680396265797877185560845529654126654085306143444318" +
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"58676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797" +
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"27082668306343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923" +
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"09907965473761255176567513575178296664547791745011299614890304639947132962107340437518957359614589019389713111" +
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"79042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043" +
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"06332175182979866223717215916077166925474873898665494945011465406284336639379003976926567214638530673609657120" +
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"91807638327166416274888800786925602902284721040317211860820419000422966171196377921337575114959501566049631862" +
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"94726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939" +
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"78054193414473774418426312986080998886874132604721569516239658645730216315981931951673538129741677294786724229" +
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"24654366800980676928238280689964004824354037014163149658979409243237896907069779422362508221688957383798623001" +
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"59377647165122893578601588161755782973523344604281512627203734314653197777416031990665541876397929334419521541" +
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"34189948544473456738316249934191318148092777710386387734317720754565453220777092120190516609628049092636019759" +
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"88281613323166636528619326686336062735676303544776280350450777235547105859548702790814356240145171806246436267" +
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"94561275318134078330336254232783944975382437205835311477119926063813346776879695970309833913077109870408591337"
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// Test case for BenchmarkScanPi.
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func TestScanPi(t *testing.T) {
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var x nat
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z, _, _, err := x.scan(strings.NewReader(pi), 10, false)
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if err != nil {
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t.Errorf("scanning pi: %s", err)
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}
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if s := string(z.utoa(10)); s != pi {
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t.Errorf("scanning pi: got %s", s)
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}
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}
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func TestScanPiParallel(t *testing.T) {
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const n = 2
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c := make(chan int)
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for i := 0; i < n; i++ {
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go func() {
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TestScanPi(t)
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c <- 0
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}()
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}
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for i := 0; i < n; i++ {
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<-c
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}
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}
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func BenchmarkScanPi(b *testing.B) {
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for i := 0; i < b.N; i++ {
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var x nat
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x.scan(strings.NewReader(pi), 10, false)
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}
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}
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func BenchmarkStringPiParallel(b *testing.B) {
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var x nat
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x, _, _, _ = x.scan(strings.NewReader(pi), 0, false)
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if string(x.utoa(10)) != pi {
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panic("benchmark incorrect: conversion failed")
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}
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b.RunParallel(func(pb *testing.PB) {
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for pb.Next() {
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x.utoa(10)
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}
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})
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}
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func BenchmarkScan(b *testing.B) {
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const x = 10
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for _, base := range []int{2, 8, 10, 16} {
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for _, y := range []Word{10, 100, 1000, 10000, 100000} {
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if isRaceBuilder && y > 1000 {
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continue
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}
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b.Run(fmt.Sprintf("%d/Base%d", y, base), func(b *testing.B) {
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b.StopTimer()
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var z nat
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z = z.expWW(x, y)
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s := z.utoa(base)
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if t := itoa(z, base); !bytes.Equal(s, t) {
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b.Fatalf("scanning: got %s; want %s", s, t)
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}
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b.StartTimer()
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for i := 0; i < b.N; i++ {
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z.scan(bytes.NewReader(s), base, false)
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}
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})
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}
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}
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}
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func BenchmarkString(b *testing.B) {
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const x = 10
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for _, base := range []int{2, 8, 10, 16} {
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for _, y := range []Word{10, 100, 1000, 10000, 100000} {
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if isRaceBuilder && y > 1000 {
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continue
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}
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b.Run(fmt.Sprintf("%d/Base%d", y, base), func(b *testing.B) {
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b.StopTimer()
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var z nat
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z = z.expWW(x, y)
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z.utoa(base) // warm divisor cache
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b.StartTimer()
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for i := 0; i < b.N; i++ {
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_ = z.utoa(base)
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}
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})
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}
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}
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}
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func BenchmarkLeafSize(b *testing.B) {
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for n := 0; n <= 16; n++ {
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b.Run(fmt.Sprint(n), func(b *testing.B) { LeafSizeHelper(b, 10, n) })
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}
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// Try some large lengths
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for _, n := range []int{32, 64} {
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b.Run(fmt.Sprint(n), func(b *testing.B) { LeafSizeHelper(b, 10, n) })
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}
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}
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func LeafSizeHelper(b *testing.B, base, size int) {
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b.StopTimer()
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originalLeafSize := leafSize
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resetTable(cacheBase10.table[:])
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leafSize = size
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b.StartTimer()
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for d := 1; d <= 10000; d *= 10 {
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b.StopTimer()
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var z nat
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z = z.expWW(Word(base), Word(d)) // build target number
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_ = z.utoa(base) // warm divisor cache
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b.StartTimer()
|
|
|
|
for i := 0; i < b.N; i++ {
|
|
_ = z.utoa(base)
|
|
}
|
|
}
|
|
|
|
b.StopTimer()
|
|
resetTable(cacheBase10.table[:])
|
|
leafSize = originalLeafSize
|
|
b.StartTimer()
|
|
}
|
|
|
|
func resetTable(table []divisor) {
|
|
if table != nil && table[0].bbb != nil {
|
|
for i := 0; i < len(table); i++ {
|
|
table[i].bbb = nil
|
|
table[i].nbits = 0
|
|
table[i].ndigits = 0
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestStringPowers(t *testing.T) {
|
|
var p Word
|
|
for b := 2; b <= 16; b++ {
|
|
for p = 0; p <= 512; p++ {
|
|
x := nat(nil).expWW(Word(b), p)
|
|
xs := x.utoa(b)
|
|
xs2 := itoa(x, b)
|
|
if !bytes.Equal(xs, xs2) {
|
|
t.Errorf("failed at %d ** %d in base %d: %s != %s", b, p, b, xs, xs2)
|
|
}
|
|
}
|
|
if b >= 3 && testing.Short() {
|
|
break
|
|
}
|
|
}
|
|
}
|