[16620] | 1 | package problems |
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| 2 | |
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| 3 | import ( |
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| 4 | "bufio" |
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| 5 | "bytes" |
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| 6 | "fmt" |
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| 7 | "math" |
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| 8 | "math/rand" |
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| 9 | "os" |
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| 10 | "C" |
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| 11 | "unsafe" |
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| 12 | ) |
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| 13 | |
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| 14 | type Point struct { |
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| 15 | indep []float64 |
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| 16 | depnd []float64 |
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| 17 | } |
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| 18 | |
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| 19 | func (d *Point) NumIndep() int { return len(d.indep) } |
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| 20 | func (d *Point) SetNumIndep(sz int) { d.indep = make([]float64, sz) } |
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| 21 | func (d *Point) Indep(p int) float64 { return d.indep[p] } |
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| 22 | func (d *Point) SetIndep(p int, v float64) { d.indep[p] = v } |
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| 23 | func (d *Point) Indeps() []float64 { return d.indep } |
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| 24 | func (d *Point) SetIndeps(v []float64) { d.indep = v } |
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| 25 | func (d *Point) NumDepnd() int { return len(d.depnd) } |
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| 26 | func (d *Point) SetNumDepnd(sz int) { d.depnd = make([]float64, sz) } |
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| 27 | func (d *Point) Depnd(p int) float64 { return d.depnd[p] } |
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| 28 | func (d *Point) SetDepnd(p int, v float64) { d.depnd[p] = v } |
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| 29 | func (d *Point) Depnds() []float64 { return d.depnd } |
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| 30 | func (d *Point) SetDepnds(v []float64) { d.depnd = v } |
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| 31 | |
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| 32 | type PointSet struct { |
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| 33 | filename string |
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| 34 | id int |
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| 35 | |
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| 36 | numDim int |
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| 37 | indepNames []string |
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| 38 | depndNames []string |
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| 39 | sysNames []string |
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| 40 | |
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| 41 | dataPoints []Point |
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| 42 | sysVals []float64 |
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| 43 | } |
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| 44 | |
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| 45 | func (d *PointSet) FN() string { return d.filename } |
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| 46 | func (d *PointSet) SetFN(fn string) { d.filename = fn } |
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| 47 | func (d *PointSet) ID() int { return d.id } |
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| 48 | func (d *PointSet) SetID(id int) { d.id = id } |
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| 49 | func (d *PointSet) SetNumPoints(cnt int) { d.dataPoints = make([]Point, cnt) } |
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| 50 | |
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| 51 | func (d *PointSet) NumIndep() int { return len(d.indepNames) } |
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| 52 | func (d *PointSet) NumDepnd() int { return len(d.depndNames) } |
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| 53 | func (d *PointSet) NumDim() int { return d.numDim } // TODO check to see if TIME is a variable |
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| 54 | func (d *PointSet) SetNumDim(dim int) { d.numDim = dim } // TODO check to see if TIME is a variable |
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| 55 | func (d *PointSet) NumSys() int { return len(d.sysNames) } |
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| 56 | func (d *PointSet) NumPoints() int { return len(d.dataPoints) } |
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| 57 | |
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| 58 | func (d *PointSet) IndepName(xi int) string { return d.indepNames[xi] } |
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| 59 | func (d *PointSet) GetIndepNames() []string { return d.indepNames } |
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| 60 | func (d *PointSet) SetIndepNames(names []string) { d.indepNames = names } |
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| 61 | func (d *PointSet) DepndName(xi int) string { return d.depndNames[xi] } |
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| 62 | func (d *PointSet) GetDepndNames() []string { return d.depndNames } |
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| 63 | func (d *PointSet) SetDepndNames(names []string) { d.depndNames = names } |
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| 64 | |
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| 65 | func (d *PointSet) SysName(si int) string { return d.sysNames[si] } |
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| 66 | func (d *PointSet) GetSysNames() []string { return d.sysNames } |
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| 67 | func (d *PointSet) SetSysNames(names []string) { d.sysNames = names } |
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| 68 | func (d *PointSet) SetSysVals(sv []float64) { d.sysVals = sv } |
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| 69 | |
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| 70 | func (d *PointSet) Point(p int) *Point { return &(d.dataPoints[p]) } |
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| 71 | func (d *PointSet) Points() []Point { return d.dataPoints } |
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| 72 | func (d *PointSet) SetPoints(pts []Point) { d.dataPoints = pts } |
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| 73 | func (d *PointSet) SysVal(p int) float64 { return d.sysVals[p] } |
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| 74 | func (d *PointSet) SysVals() []float64 { return d.sysVals } |
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| 75 | |
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| 76 | // read function at end of file [ func (d *PointSet) Read(filename string) ] |
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| 77 | |
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| 78 | type PntSubset struct { |
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| 79 | ds *PointSet |
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| 80 | |
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| 81 | index []int |
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| 82 | input []Point |
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| 83 | output []Point |
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| 84 | sysVals []float64 |
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| 85 | } |
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| 86 | |
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| 87 | func (s *PntSubset) ID() int { return s.ds.id } |
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| 88 | func (s *PntSubset) DS() *PointSet { return s.ds } |
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| 89 | func (s *PntSubset) SetDS(ds *PointSet) { s.ds = ds } |
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| 90 | |
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| 91 | func (s *PntSubset) NumIndep() int { return s.ds.NumIndep() } |
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| 92 | func (s *PntSubset) NumDepnd() int { return s.ds.NumDepnd() } |
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| 93 | func (s *PntSubset) NumSys() int { return s.ds.NumSys() } |
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| 94 | func (s *PntSubset) NumPoints() int { return len(s.index) } |
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| 95 | |
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| 96 | func (s *PntSubset) SysVals() []float64 { return s.sysVals } |
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| 97 | func (s *PntSubset) SetSysVals(svls []float64) { s.sysVals = svls } |
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| 98 | |
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| 99 | func (s *PntSubset) Index(p int) int { return s.index[p] } |
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| 100 | func (s *PntSubset) Indexes() []int { return s.index } |
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| 101 | func (s *PntSubset) SetIndexes(idxs []int) { s.index = idxs } |
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| 102 | func (s *PntSubset) Input(p int) *Point { return &s.input[p] } |
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| 103 | func (s *PntSubset) Output(p int) *Point { return &s.output[p] } |
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| 104 | |
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| 105 | func (s *PntSubset) AddPoint(p int, input, output *Point) { |
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| 106 | s.index = append(s.index, p) |
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| 107 | s.input = append(s.input, *input) |
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| 108 | s.output = append(s.output, *output) |
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| 109 | } |
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| 110 | |
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| 111 | // using indexes, update the input/output data |
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| 112 | func (s *PntSubset) Refresh() { |
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| 113 | L := len(s.index) |
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| 114 | if s.input == nil { |
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| 115 | s.input = make([]Point, L) |
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| 116 | } |
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| 117 | if s.output == nil { |
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| 118 | s.output = make([]Point, L) |
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| 119 | } |
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| 120 | |
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| 121 | for i := 0; i < L; i++ { |
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| 122 | s.input[i] = *s.ds.Point(s.index[i]) |
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| 123 | if s.index[i]+1 >= s.ds.NumPoints() { |
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| 124 | continue |
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| 125 | } |
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| 126 | s.output[i] = *s.ds.Point(s.index[i] + 1) |
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| 127 | } |
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| 128 | } |
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| 129 | |
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| 130 | func (trainData *PointSet) InitTrainDataF(indepNames []string, depndNames []string, matrix unsafe.Pointer, nEntries int) { |
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| 131 | trainData.ReadPointSet("C:/Users/Hansi/Desktop/Data.trn") |
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| 132 | } |
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| 133 | |
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| 134 | func (trainData *PointSet) InitTestDataF(indepNames []string, depndNames []string, matrix unsafe.Pointer, nEntries int) { |
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| 135 | trainData.ReadPointSet("C:/Users/Hansi/Desktop/Data.tst") |
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| 136 | } |
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| 137 | |
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| 138 | func (trainData *PointSet) InitTrainData(indepNames []string, depndNames []string, matrix unsafe.Pointer, nEntries int) { |
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| 139 | trainData.indepNames = indepNames //First line in .trn file |
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| 140 | trainData.numDim = len(trainData.indepNames) |
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| 141 | trainData.depndNames = depndNames //Second line in .trn file |
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| 142 | |
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| 143 | fmt.Printf("Var Names = %v | %v\n", trainData.depndNames, trainData.indepNames) |
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| 144 | var nClum int = len(indepNames) + len(depndNames) |
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| 145 | |
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| 146 | for i := 0; i < nEntries; i++ { |
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| 147 | var pnt Point |
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| 148 | for j := 0; j < len(trainData.indepNames); j++ { |
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| 149 | elemNr := i * nClum + j |
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| 150 | item := (*float64) (unsafe.Pointer( uintptr(unsafe.Pointer(matrix)) + unsafe.Sizeof(float64(0)) * uintptr(elemNr) )) |
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| 151 | pnt.indep = append(pnt.indep, *item) |
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| 152 | |
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| 153 | if os.Getenv("PGEDEBUG") == "1" { |
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| 154 | fmt.Printf("Adding independend Test/Train Data (%v,%v): %v\n", i, j, *item) |
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| 155 | } |
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| 156 | } |
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| 157 | |
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| 158 | for j := len(trainData.indepNames); j < (len(trainData.indepNames) + len(trainData.depndNames)); j++ { |
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| 159 | elemNr := i * nClum + j |
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| 160 | item := (*float64) (unsafe.Pointer( uintptr(unsafe.Pointer(matrix)) + unsafe.Sizeof(float64(0)) * uintptr(elemNr) )) |
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| 161 | pnt.depnd = append(pnt.depnd, *item ) |
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| 162 | |
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| 163 | if os.Getenv("PGEDEBUG") == "1" { |
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| 164 | fmt.Printf("Adding dependend (right side) Test/Train Data (%v, %v): %v\n", i, j, *item) |
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| 165 | } |
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| 166 | } |
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| 167 | |
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| 168 | if len(pnt.indep) > 0 { |
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| 169 | trainData.dataPoints = append(trainData.dataPoints, pnt) |
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| 170 | } |
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| 171 | } |
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| 172 | fmt.Printf("Num Points: %v\n", len(trainData.dataPoints)) |
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| 173 | |
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| 174 | //if os.Getenv("PGEDEBUG") == "2" { |
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| 175 | // DebugPrint(trainData) |
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| 176 | //} |
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| 177 | } |
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| 178 | |
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| 179 | //func (trainData *PointSet) DebugPrint() { |
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| 180 | // for index, elem in range |
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| 181 | //} |
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| 182 | |
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| 183 | func (d *PointSet) ReadPointSet(filename string) { |
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| 184 | ftotal, err := os.OpenFile(filename, os.O_RDONLY, 0) |
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| 185 | if err != nil { |
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| 186 | fmt.Printf("err: %v\n", err) |
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| 187 | return |
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| 188 | } |
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| 189 | defer ftotal.Close() |
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| 190 | file := bufio.NewReader(ftotal) |
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| 191 | |
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| 192 | var word string |
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| 193 | |
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| 194 | // get independent variables (x_i...) |
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| 195 | for i := 0; ; i++ { |
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| 196 | _, err := fmt.Fscanf(file, "%s", &word) |
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| 197 | if err != nil { |
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| 198 | break |
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| 199 | } |
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| 200 | d.indepNames = append(d.indepNames, word) |
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| 201 | } |
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| 202 | d.numDim = len(d.indepNames) |
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| 203 | |
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| 204 | // get dependent variables (y_j...) |
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| 205 | for i := 0; ; i++ { |
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| 206 | _, err := fmt.Fscanf(file, "%s", &word) |
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| 207 | if err != nil { |
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| 208 | break |
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| 209 | } |
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| 210 | d.depndNames = append(d.depndNames, word) |
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| 211 | } |
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| 212 | |
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| 213 | fmt.Printf("Var Names = %v | %v\n", d.depndNames, d.indepNames) |
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| 214 | |
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| 215 | for i := 0; ; i++ { |
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| 216 | var pnt Point |
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| 217 | var dval, ival float64 |
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| 218 | if err != nil { |
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| 219 | break |
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| 220 | } |
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| 221 | |
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| 222 | for j := 0; j < len(d.indepNames); j++ { |
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| 223 | _, err = fmt.Fscanf(file, "%f", &ival) |
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| 224 | if err != nil { |
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| 225 | break |
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| 226 | } |
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| 227 | pnt.indep = append(pnt.indep, ival) |
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| 228 | } |
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| 229 | |
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| 230 | for j := 0; j < len(d.depndNames); j++ { |
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| 231 | _, err = fmt.Fscanf(file, "%f\n", &dval) |
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| 232 | if err != nil { |
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| 233 | break |
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| 234 | } |
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| 235 | pnt.depnd = append(pnt.depnd, dval) |
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| 236 | } |
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| 237 | |
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| 238 | if len(pnt.indep) > 0 { |
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| 239 | d.dataPoints = append(d.dataPoints, pnt) |
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| 240 | } |
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| 241 | if i%100 == 0 { |
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| 242 | fmt.Println("Point(%d): %v\n", i, pnt) |
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| 243 | } |
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| 244 | } |
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| 245 | fmt.Printf("Num Points: %v\n", len(d.dataPoints)) |
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| 246 | } |
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| 247 | |
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| 248 | func ReadBytesPointSet(ftotal []byte) (d *PointSet) { |
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| 249 | d = new(PointSet) |
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| 250 | // ftotal, err := os.OpenFile(filename, os.O_RDONLY, 0) |
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| 251 | // if err != nil { |
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| 252 | // fmt.Printf("err: %v\n", err) |
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| 253 | // return |
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| 254 | // } |
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| 255 | // defer ftotal.Close() |
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| 256 | var err error |
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| 257 | file := bytes.NewReader(ftotal) |
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| 258 | |
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| 259 | var word string |
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| 260 | |
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| 261 | // get independent variables (x_i...) |
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| 262 | for i := 0; ; i++ { |
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| 263 | _, err := fmt.Fscanf(file, "%s", &word) |
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| 264 | if err != nil { |
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| 265 | break |
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| 266 | } |
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| 267 | d.indepNames = append(d.indepNames, word) |
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| 268 | } |
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| 269 | d.numDim = len(d.indepNames) |
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| 270 | |
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| 271 | // get dependent variables (y_j...) |
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| 272 | for i := 0; ; i++ { |
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| 273 | _, err := fmt.Fscanf(file, "%s", &word) |
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| 274 | if err != nil { |
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| 275 | break |
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| 276 | } |
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| 277 | d.depndNames = append(d.depndNames, word) |
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| 278 | } |
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| 279 | |
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| 280 | fmt.Printf("Var Names = %v | %v\n", d.depndNames, d.indepNames) |
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| 281 | |
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| 282 | for i := 0; ; i++ { |
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| 283 | var pnt Point |
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| 284 | var dval, ival float64 |
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| 285 | if err != nil { |
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| 286 | break |
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| 287 | } |
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| 288 | |
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| 289 | for j := 0; j < len(d.indepNames); j++ { |
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| 290 | _, err = fmt.Fscanf(file, "%f", &ival) |
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| 291 | if err != nil { |
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| 292 | break |
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| 293 | } |
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| 294 | pnt.indep = append(pnt.indep, ival) |
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| 295 | } |
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| 296 | |
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| 297 | for j := 0; j < len(d.depndNames); j++ { |
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| 298 | _, err = fmt.Fscanf(file, "%f\n", &dval) |
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| 299 | if err != nil { |
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| 300 | break |
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| 301 | } |
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| 302 | pnt.depnd = append(pnt.depnd, dval) |
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| 303 | } |
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| 304 | |
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| 305 | if len(pnt.indep) > 0 { |
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| 306 | d.dataPoints = append(d.dataPoints, pnt) |
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| 307 | } |
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| 308 | if i%100 == 0 { |
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| 309 | fmt.Println("Point(%d): %v\n", i, pnt) |
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| 310 | } |
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| 311 | } |
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| 312 | fmt.Printf("Num Points: %v\n", len(d.dataPoints)) |
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| 313 | return d |
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| 314 | } |
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| 315 | |
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| 316 | func (d *PointSet) WritePointSet(filename string) { |
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| 317 | fmt.Printf("Writing file: %s\n", filename) |
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| 318 | ftotal, err := os.Create(filename) |
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| 319 | if err != nil { |
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| 320 | fmt.Printf("Error creating file: %s %v\n", filename, err) |
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| 321 | return |
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| 322 | } |
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| 323 | defer ftotal.Close() |
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| 324 | file := bufio.NewWriter(ftotal) |
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| 325 | defer file.Flush() |
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| 326 | |
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| 327 | // write independent variable names (x_i...) |
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| 328 | for i := 0; i < d.NumIndep(); i++ { |
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| 329 | if err != nil { |
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| 330 | fmt.Errorf("error writing pointset to file: %v\n", err) |
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| 331 | break |
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| 332 | } |
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| 333 | } |
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| 334 | fmt.Fprintln(file) |
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| 335 | |
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| 336 | // trite dependent variable names (y_j...) |
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| 337 | for i := 0; i < d.NumDepnd(); i++ { |
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| 338 | if err != nil { |
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| 339 | break |
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| 340 | } |
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| 341 | } |
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| 342 | fmt.Fprintln(file) |
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| 343 | |
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| 344 | // write points |
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| 345 | points := d.Points() |
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| 346 | for i := 0; i < d.NumPoints(); i++ { |
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| 347 | indep := points[i].Indeps() |
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| 348 | depnd := points[i].Depnds() |
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| 349 | for j := 0; j < len(indep); j++ { |
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| 350 | if err != nil { |
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| 351 | break |
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| 352 | } |
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| 353 | } |
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| 354 | for j := 0; j < len(depnd); j++ { |
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| 355 | if err != nil { |
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| 356 | break |
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| 357 | } |
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| 358 | } |
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| 359 | fmt.Fprintln(file) |
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| 360 | } |
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| 361 | } |
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| 362 | |
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| 363 | func SplitPointSetTrainTest(pnts *PointSet, pcnt_train float64, seed int) (train, test *PointSet) { |
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| 364 | |
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| 365 | train = new(PointSet) |
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| 366 | test = new(PointSet) |
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| 367 | |
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| 368 | train.filename, test.filename = pnts.filename, pnts.filename |
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| 369 | train.id, test.id = pnts.id, pnts.id |
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| 370 | train.indepNames, test.indepNames = pnts.indepNames, pnts.indepNames |
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| 371 | train.depndNames, test.depndNames = pnts.depndNames, pnts.depndNames |
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| 372 | train.sysNames, test.sysNames = pnts.sysNames, pnts.sysNames |
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| 373 | train.sysVals, test.sysVals = pnts.sysVals, pnts.sysVals |
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| 374 | |
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| 375 | L := len(pnts.dataPoints) |
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| 376 | Tst := int(float64(L) * (1.0 - pcnt_train)) |
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| 377 | |
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| 378 | tmp := make([]Point, L) |
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| 379 | copy(tmp, pnts.dataPoints) |
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| 380 | |
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| 381 | rand.Seed(int64(seed)) |
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| 382 | |
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| 383 | for i := 0; i < Tst; i++ { |
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| 384 | p := rand.Intn(L - i) |
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| 385 | tmp[i], tmp[p] = tmp[p], tmp[i] |
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| 386 | } |
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| 387 | |
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| 388 | test.dataPoints = tmp[:Tst] |
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| 389 | train.dataPoints = tmp[Tst:] |
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| 390 | |
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| 391 | return |
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| 392 | } |
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| 393 | |
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| 394 | func (d *PointSet) ReadLakeFile(filename string) { |
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| 395 | ftotal, err := os.OpenFile(filename, os.O_RDONLY, 0) |
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| 396 | if err != nil { |
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| 397 | fmt.Printf("err: %v\n", err) |
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| 398 | return |
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| 399 | } |
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| 400 | defer ftotal.Close() |
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| 401 | file := bufio.NewReader(ftotal) |
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| 402 | |
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| 403 | var word string |
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| 404 | |
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| 405 | // get independent variables (x_i...) |
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| 406 | for i := 0; ; i++ { |
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| 407 | _, err := fmt.Fscanf(file, "%s", &word) |
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| 408 | if err != nil { |
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| 409 | break |
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| 410 | } |
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| 411 | d.indepNames = append(d.indepNames, word) |
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| 412 | } |
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| 413 | d.numDim = len(d.indepNames) |
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| 414 | |
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| 415 | // // get dependent variables (y_j...) |
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| 416 | // for i := 0; ; i++ { |
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| 417 | // _, err := fmt.Fscanf(file, "%s", &word) |
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| 418 | // if err != nil { |
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| 419 | // break |
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| 420 | // } |
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| 421 | // d.depndNames = append(d.depndNames, word) |
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| 422 | // } |
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| 423 | |
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| 424 | // remove time names from indepNames |
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| 425 | d.indepNames = d.indepNames[2:] |
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| 426 | |
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| 427 | // fmt.Printf("Var Names = %v | %v\n", d.depndNames, d.indepNames) |
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| 428 | |
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| 429 | for i := 0; ; i++ { |
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| 430 | var pnt Point |
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| 431 | var ival float64 |
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| 432 | if err != nil { |
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| 433 | break |
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| 434 | } |
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| 435 | |
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| 436 | // read time values and disgaurd |
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| 437 | var dummy string |
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| 438 | for j := 0; j < 2; j++ { |
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| 439 | _, err = fmt.Fscanf(file, "%s", &dummy) |
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| 440 | // fmt.Println(i, dummy) |
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| 441 | if err != nil { |
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| 442 | // fmt.Println("err:", err) |
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| 443 | break |
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| 444 | } |
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| 445 | } |
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| 446 | |
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| 447 | // append dummy time value |
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| 448 | pnt.indep = append(pnt.indep, -0.1) |
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| 449 | |
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| 450 | // read real data |
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| 451 | for j := 0; j < len(d.indepNames); j++ { |
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| 452 | _, err = fmt.Fscanf(file, "%f\n", &ival) |
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| 453 | if err != nil { |
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| 454 | // fmt.Println("err:", err) |
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| 455 | break |
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| 456 | } |
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| 457 | // hack for PAR |
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| 458 | // if j == 1 { |
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| 459 | // ival /= 2000.0 * (math.Pi / 2.0) |
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| 460 | // } |
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| 461 | |
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| 462 | pnt.indep = append(pnt.indep, ival) |
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| 463 | } |
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| 464 | |
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| 465 | // fmt.Println(i, pnt) |
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| 466 | |
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| 467 | // for j := 0; j < len(d.depndNames); j++ { |
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| 468 | // _, err = fmt.Fscanf(file, "%f\n", &dval) |
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| 469 | // if err != nil { |
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| 470 | // break |
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| 471 | // } |
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| 472 | // pnt.depnd = append(pnt.depnd, dval) |
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| 473 | // } |
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| 474 | |
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| 475 | if len(pnt.indep) > 1 { |
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| 476 | for p := 0; p < len(pnt.indep); p++ { |
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| 477 | if math.IsNaN(pnt.indep[p]) { |
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| 478 | // fmt.Println("NaN @ ", i, p) |
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| 479 | goto skip |
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| 480 | } |
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| 481 | } |
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| 482 | d.dataPoints = append(d.dataPoints, pnt) |
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| 483 | } |
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| 484 | skip: |
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| 485 | } |
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| 486 | |
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| 487 | // calculate numerical derivatives |
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| 488 | calcDerivs(d.dataPoints) |
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| 489 | |
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| 490 | for i := 0; i < len(d.dataPoints); i++ { |
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| 491 | p := d.dataPoints[i] |
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| 492 | if len(p.Indeps()) == 0 || len(p.Depnds()) == 0 { |
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| 493 | fmt.Println("Bad Point @", i) |
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| 494 | } |
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| 495 | // if i%100 == 0 { |
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| 496 | // fmt.Printf("Point(%d): %v\n", i, d.dataPoints[i]) |
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| 497 | // } |
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| 498 | } |
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| 499 | |
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| 500 | // fmt.Printf("Num Points: %v\n", len(d.dataPoints)) |
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| 501 | } |
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| 502 | |
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| 503 | /* Calculate the first derivative of four points with: h = 0.25 |
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| 504 | * (from: http://www.trentfguidry.net/post/2010/09/04/Numerical-differentiation-formulas.aspx) |
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| 505 | * |
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| 506 | * xF0 = ( -3.0*xF4 + 16.0*xF3 - 36.0*xF2 + 48.0*xF1 - 25.0*xF0) / (12.0*h) |
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| 507 | * xF1 = ( xF4 - 6.0-xF3 + 18.0*xF2 - 10.0*xF1 - 3.0*xF0) / (12.0*h) |
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| 508 | * xF2 = ( -xF4 + 8.0*xF3 - 8.0*xF1 + xF0) / (12.0*h) |
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| 509 | * xF3 = ( 3.0*xF4 + 10.0*xF3 - 18.0*xF2 + 6.0*xF1 - xF0) / (12.0*h) |
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| 510 | * xF4 = ( 25.0*xF4 - 48.0*xF3 + 36.0*xF2 - 16.0*xF1 + 3.0*xF0) / (12.0*h) |
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| 511 | */ |
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| 512 | func calcDerivs(pts []Point) { |
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| 513 | h := 24.0 // / (24.0 * 60.0) |
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| 514 | |
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| 515 | NP := len(pts) |
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| 516 | ND := pts[0].NumIndep() |
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| 517 | |
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| 518 | // for summing and averaging on a point/variable~wise basis |
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| 519 | cnts := make([][]int, NP) |
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| 520 | vals := make([][]float64, NP) |
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| 521 | for p := 0; p < NP; p++ { |
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| 522 | cnts[p] = make([]int, ND) |
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| 523 | vals[p] = make([]float64, ND) |
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| 524 | } |
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| 525 | |
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| 526 | for p := 0; p < NP-5; p++ { |
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| 527 | for i := 0; i < ND; i++ { |
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| 528 | var F [5]float64 |
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| 529 | var dF [5]float64 |
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| 530 | |
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| 531 | for j := 0; j < 5; j++ { |
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| 532 | F[j] = pts[p+j].Indep(i) |
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| 533 | } |
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| 534 | dF[0] = (-3.0*F[4] + 16.0*F[3] - 36.0*F[2] + 48.0*F[1] - 25.0*F[0]) / (12.0 * h) |
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| 535 | dF[1] = (F[4] - 6.0 - F[3] + 18.0*F[2] - 10.0*F[1] - 3.0*F[0]) / (12.0 * h) |
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| 536 | dF[2] = (-F[4] + 8.0*F[3] - 8.0*F[1] + F[0]) / (12.0 * h) |
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| 537 | dF[3] = (3.0*F[4] + 10.0*F[3] - 18.0*F[2] + 6.0*F[1] - F[0]) / (12.0 * h) |
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| 538 | dF[4] = (25.0*F[4] - 48.0*F[3] + 36.0*F[2] - 16.0*F[1] + 3.0*F[0]) / (12.0 * h) |
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| 539 | |
---|
| 540 | for j := 0; j < 5; j++ { |
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| 541 | |
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| 542 | vals[p+j][i] += dF[j] |
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| 543 | cnts[p+j][i]++ |
---|
| 544 | } |
---|
| 545 | } |
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| 546 | } |
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| 547 | |
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| 548 | for p := 0; p < NP; p++ { |
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| 549 | depnds := make([]float64, ND) |
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| 550 | for i := 0; i < ND; i++ { |
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| 551 | depnds[i] = vals[p][i] / float64(cnts[p][i]) |
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| 552 | } |
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| 553 | pts[p].SetDepnds(depnds) |
---|
| 554 | } |
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| 555 | } |
---|