Overview
Comment: | Dropped the Nth method and return a populated slice by fibonacci.New(size). Changed all access to direct indexing. CC at 100% |
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SHA1: |
ffb139e305ddf74bb722ba46665ea752 |
User & Date: | spaskalev on 2014-12-30 22:59:23 |
Other Links: | manifest | tags |
Context
2015-01-01
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04:58 | Added fibonacci.Writer(io.Writer) io.Writer that encodes bytes. check-in: 93fcb281a1 user: spaskalev tags: trunk | |
2014-12-30
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22:59 | Dropped the Nth method and return a populated slice by fibonacci.New(size). Changed all access to direct indexing. CC at 100% check-in: ffb139e305 user: spaskalev tags: trunk | |
15:01 | Minor opmitization to fibonacci's decoding. Changed plaindiff to show line numbers starting from 1. check-in: 9f5054e305 user: spaskalev tags: trunk | |
Changes
Modified src/0dev.org/encoding/fibonacci/fib.go from [36b31aa589] to [5db8094e9b].
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| | | | | | | | < < < < | | | | | | | > | | | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | // Package provides a shifted, reversed fibonacci encoding of unsigned integers. // // http://en.wikipedia.org/wiki/Fibonacci_coding maps positive integers as // 1 - 11, 2 - 011, 3 - 0011, 4 - 1011, 5 - 00011 // // Incrementing input by one to allow for zero gives // 0 - 11, 1 - 011, 2 - 0011, 3 - 1011, 4 - 00011 // // The codes are then reversed so that they are easily stored in uints // 0 - 11, 1 - 110, 2 - 1100, 3 - 1101, 4 - 11000 package fibonacci type Numbers []uint64 // Returns a slice with fibonacci numbers up to the given length func New(size int) Numbers { var fibs Numbers = make(Numbers, size) copy(fibs, []uint64{1, 1}) for i := 2; i < size; i++ { fibs[i] = fibs[i-1] + fibs[i-2] } return fibs } // Returns a fibonacci code for an integer as specified in the package's doc. func (f Numbers) Code(value uint64) (result uint64) { // Increment to encode zero as one value++ // Find the nearest fibonacci number i := 0 for f[i+1] <= value { i++ } // Leading bit that signals the start of a fibonacci-encoded integer result |= 1 // Find the Zeckendorf's representation by raising a bit for each // fibonacci number that is less or equal to the difference // between the value and the previous such number for ; i >= 1; i-- { result <<= 1 if f[i] <= value { result |= 1 value -= f[i] } } return } // Returns an integer from a fibonacci code as specified in the package's doc. func (f Numbers) Decode(value uint64) (result uint64) { i := 1 // Loop until the lowest two bits are both raised for (value & 3) != 3 { // Add the fibonacci number for the current bit if it is raised if (value & 1) == 1 { result += f[i] // We know that the next bit cannot be raised by Zeckendorf's theorem value >>= 2 i += 2 continue } value >>= 1 i++ } result += f[i] - 1 return } |
Modified src/0dev.org/encoding/fibonacci/fib_test.go from [5949178ed8] to [ecd601a44e].
1 2 3 4 5 6 7 | package fibonacci import ( "testing" ) func TestNumbers(t *testing.T) { | | | | | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | package fibonacci import ( "testing" ) func TestNumbers(t *testing.T) { n := New(32) expected := []uint64{1, 1, 2, 3, 5, 8, 13, 21} for i, v := range expected { if f := n[i]; f != v { t.Error("Unexpected value for", i, f, "expected", v) } } } func TestCoding(t *testing.T) { n := New(32) for i := uint64(0); i < 1024; i++ { enc := n.Code(i) dec := n.Decode(enc) if i != dec { t.Errorf("Unexpected value for %d - enc is %b, dec is %d\n", i, enc, dec) } |
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