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| 1 | +/* |
| 2 | +This module creates a fuzzy precision representation of a time interval. |
| 3 | +- It makes calculations based on a 64 year representation of time from January 1, 1970 to January 1, 2098. |
| 4 | +- Values are encoded with a number of bits(represented by an ASCII character) that indicate the amount of time to add to 1970. |
| 5 | +- Times prior to 1970 or after 2098 are not accounted for by this scale. |
| 6 | +- Each character added to the timehash reduces the time interval ambiguity by a factor of 8. |
| 7 | +- Valid characters for encoding the floating point time into ASCII characters include {01abcdef} |
| 8 | +
|
| 9 | +0 +/- 64 years |
| 10 | +1 +/- 8 years |
| 11 | +2 +/- 1 years |
| 12 | +3 +/- 45.65625 days |
| 13 | +4 +/- 5.707 days |
| 14 | +5 +/- 0.71337 days = 17.121 hours |
| 15 | +6 +/- 2.14013671875 hours |
| 16 | +7 +/- 0.26751708984375 hours = 16.05 minutes |
| 17 | +8 +/- 2.006378173828125 minutes |
| 18 | +9 +/- 0.2507 minutes = 15 seconds |
| 19 | +10 +/- 1.88097 seconds |
| 20 | +*/ |
| 21 | + |
| 22 | +package main |
| 23 | + |
| 24 | +import ( |
| 25 | + "fmt" |
| 26 | + "strconv" |
| 27 | + "strings" |
| 28 | + "time" |
| 29 | +) |
| 30 | + |
| 31 | +const _base32 string = "01abcdef" |
| 32 | +const mapBefore string = "f01abcde" |
| 33 | +const mapAfter string = "1abcdef0" |
| 34 | +const lowerBound float64 = 0.0 |
| 35 | +const upperBound float64 = 4039372800.0 |
| 36 | +const defaultPrecision int = 10 |
| 37 | + |
| 38 | +var bits = [3]int{4, 2, 1} |
| 39 | +var decodeMap = make(map[string]int) |
| 40 | +var neighborMap = make(map[string]Neighbor) |
| 41 | + |
| 42 | +// Neighbor holds the timehash before, during, and after |
| 43 | +// the given window to exclude the given timehash. |
| 44 | +type Neighbor struct { |
| 45 | + before string |
| 46 | + after string |
| 47 | +} |
| 48 | + |
| 49 | +// Neighborhood holds the timehash before, during, and after |
| 50 | +// the given window to include the given timehash. |
| 51 | +type Neighborhood struct { |
| 52 | + before string |
| 53 | + center string |
| 54 | + after string |
| 55 | +} |
| 56 | + |
| 57 | +func main() { |
| 58 | + initMaps() |
| 59 | + examples() |
| 60 | +} |
| 61 | + |
| 62 | +func examples() { |
| 63 | + testHash := "af1cef0" // '2016-05-27T01:55:57.202148' |
| 64 | + th, slop := DecodeExactly(testHash) |
| 65 | + ths := strconv.FormatFloat(th, 'f', 7, 64) |
| 66 | + slops := strconv.FormatFloat(slop, 'f', 7, 64) |
| 67 | + fmt.Print("Encoded with margin ", ths, slops, "\n") |
| 68 | + fmt.Print("Encoded ", Encode(1516933969.398167, defaultPrecision), "\n") |
| 69 | + fmt.Print("Before ", Before(testHash), "\n") |
| 70 | + fmt.Print("After: ", After(testHash), "\n") |
| 71 | + fmt.Print("Encode from datetime ", EncodeDate(time.Now()), "\n") |
| 72 | +} |
| 73 | + |
| 74 | +func initMaps() { |
| 75 | + for i := range _base32 { |
| 76 | + decodeMap[string(_base32[i])] = i |
| 77 | + neighborMap[string(_base32[i])] = Neighbor{string(mapBefore[i]), string(mapAfter[i])} |
| 78 | + } |
| 79 | + fmt.Println(decodeMap) |
| 80 | +} |
| 81 | + |
| 82 | +// DecodeExactly decodes a timehash and get the margin of error |
| 83 | +// on that calculation in seconds. |
| 84 | +func DecodeExactly(timehash string) (float64, float64) { |
| 85 | + lower, upper := lowerBound, upperBound |
| 86 | + var mid float64 |
| 87 | + timeError := (lower + upper) / 2 |
| 88 | + |
| 89 | + for _, c := range timehash { |
| 90 | + dc := decodeMap[string(c)] |
| 91 | + for _, mask := range bits { |
| 92 | + timeError = timeError / 2 |
| 93 | + mid = (lower + upper) / 2 |
| 94 | + |
| 95 | + if mask&dc > 0 { |
| 96 | + lower = mid |
| 97 | + } else { |
| 98 | + upper = mid |
| 99 | + } |
| 100 | + } |
| 101 | + } |
| 102 | + |
| 103 | + value := (lower + upper) / 2 |
| 104 | + return value, timeError |
| 105 | +} |
| 106 | + |
| 107 | +// Decode the geohash but throw away the margin of error. |
| 108 | +func Decode(timehash string) float64 { |
| 109 | + epochSeconds, _ := DecodeExactly(timehash) |
| 110 | + return epochSeconds |
| 111 | +} |
| 112 | + |
| 113 | +// Encode the given seconds since the epoch into a timehash |
| 114 | +// at the given precision. |
| 115 | +func Encode(epochSeconds float64, precision int) string { |
| 116 | + // If no precision offered (zero value), default to 10. |
| 117 | + if precision == 0 { |
| 118 | + precision = defaultPrecision |
| 119 | + } |
| 120 | + var timehash []string |
| 121 | + var ch, bit int |
| 122 | + lower, upper := lowerBound, upperBound |
| 123 | + |
| 124 | + for len(timehash) < precision { |
| 125 | + mid := (lower + upper) / 2 |
| 126 | + if epochSeconds > mid { |
| 127 | + ch = ch | bits[bit] |
| 128 | + lower = mid |
| 129 | + } else { |
| 130 | + upper = mid |
| 131 | + } |
| 132 | + if bit < 2 { |
| 133 | + bit = bit + 1 |
| 134 | + } else { |
| 135 | + timehash = append(timehash, string(_base32[ch])) |
| 136 | + bit = 0 |
| 137 | + ch = 0 |
| 138 | + } |
| 139 | + } |
| 140 | + |
| 141 | + return strings.Join(timehash, "") |
| 142 | +} |
| 143 | + |
| 144 | +// Before determines the timehash for the window directly |
| 145 | +// preceding the given timehash at the same precision. |
| 146 | +func Before(timehash string) string { |
| 147 | + i := 1 |
| 148 | + var value string |
| 149 | + |
| 150 | + for j := len(timehash) - 1; j >= 0; j-- { |
| 151 | + c := string(timehash[j]) |
| 152 | + if c != "0" { |
| 153 | + padding := strings.Repeat("f", i-1) |
| 154 | + position := len(timehash) - i |
| 155 | + value = timehash[0:position] + neighborMap[c].before + padding |
| 156 | + break |
| 157 | + } else { |
| 158 | + i = i + 1 |
| 159 | + } |
| 160 | + } |
| 161 | + |
| 162 | + return value |
| 163 | +} |
| 164 | + |
| 165 | +// After determines the timehash for the window directly |
| 166 | +// after the given timehash at the same precision. |
| 167 | +func After(timehash string) string { |
| 168 | + i := 1 |
| 169 | + var value string |
| 170 | + |
| 171 | + for j := len(timehash) - 1; j >= 0; j-- { |
| 172 | + c := string(timehash[j]) |
| 173 | + if c != "f" { |
| 174 | + padding := strings.Repeat("0", i-1) |
| 175 | + position := len(timehash) - i |
| 176 | + value = timehash[0:position] + neighborMap[c].after + padding |
| 177 | + break |
| 178 | + } else { |
| 179 | + i = i + 1 |
| 180 | + } |
| 181 | + } |
| 182 | + |
| 183 | + return value |
| 184 | +} |
| 185 | + |
| 186 | +// Neighbors returns the neighboring windows to either side |
| 187 | +// of the provided timehash at the same precision. |
| 188 | +func Neighbors(timehash string) Neighbor { |
| 189 | + return Neighbor{Before(timehash), After(timehash)} |
| 190 | +} |
| 191 | + |
| 192 | +// Expand the given timehash window to include the preceding |
| 193 | +// and following window, including the given timehash. |
| 194 | +func Expand(timehash string) Neighborhood { |
| 195 | + return Neighborhood{Before(timehash), timehash, After(timehash)} |
| 196 | +} |
| 197 | + |
| 198 | +// EncodeDate takes a Time object and turns it into a |
| 199 | +// timehash at the default precision. |
| 200 | +func EncodeDate(date time.Time) string { |
| 201 | + return Encode(float64(date.Unix()), defaultPrecision) |
| 202 | +} |
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