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numgo.go
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numgo.go
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package numgo
import (
"encoding/json"
"fmt"
"math"
"math/rand"
"runtime"
"strings"
)
// Array64 is an n-dimensional array of float64 data
type Array64 struct {
shape []int
strides []int
data []float64
err error
debug, stack string
}
// NewArray64 creates an Array64 object with dimensions given in order from outer-most to inner-most
// Passing a slice with no shape data will wrap the slice as a 1-D array.
// All values will default to zero. Passing nil as the data parameter creates an empty array.
func NewArray64(data []float64, shape ...int) (a *Array64) {
if len(shape) == 0 {
switch {
case data != nil:
return &Array64{
shape: []int{len(data)},
strides: []int{len(data), 1},
data: data,
err: nil,
debug: "",
stack: "",
}
default:
return &Array64{
shape: []int{0},
strides: []int{0, 0},
data: []float64{},
err: nil,
debug: "",
stack: "",
}
}
}
var sz = 1
sh := make([]int, len(shape))
for _, v := range shape {
if v < 0 {
a = &Array64{err: NegativeAxis}
if debug {
a.debug = fmt.Sprintf("Negative axis length received by Create: %v", shape)
a.stack = string(stackBuf[:runtime.Stack(stackBuf, false)])
}
return
}
sz *= v
}
copy(sh, shape)
a = &Array64{
shape: sh,
strides: make([]int, len(shape)+1),
data: make([]float64, sz),
err: nil,
debug: "",
stack: "",
}
if data != nil {
copy(a.data, data)
}
a.strides[len(shape)] = 1
for i := len(shape) - 1; i >= 0; i-- {
a.strides[i] = a.strides[i+1] * a.shape[i]
}
return
}
// Internal function to create using the shape of another array
func newArray64(shape ...int) (a *Array64) {
var sz int = 1
for _, v := range shape {
sz *= v
}
a = &Array64{
shape: shape,
strides: make([]int, len(shape)+1),
data: make([]float64, sz),
err: nil,
debug: "",
stack: "",
}
a.strides[len(shape)] = 1
for i := len(shape) - 1; i >= 0; i-- {
a.strides[i] = a.strides[i+1] * a.shape[i]
}
return
}
// FullArray64 creates an Array64 object with dimensions given in order from outer-most to inner-most
// All elements will be set to the value passed in val.
func FullArray64(val float64, shape ...int) (a *Array64) {
a = NewArray64(nil, shape...)
if a.HasErr() || val == 0 {
return
}
return a.AddC(val)
}
func full(val float64, shape ...int) (a *Array64) {
a = newArray64(shape...)
if val == 0 {
return
}
return a.AddC(val)
}
// RandArray64 creates an Arry64 object and fills it with random values from the default random source
// Use base and scale to adjust the default value range [0.0, 1.0)
// generated by formula rand * scale + default
func RandArray64(base, scale float64, shape ...int) (a *Array64) {
a = NewArray64(nil, shape...)
if a.HasErr() {
return
}
for i := range a.data {
a.data[i] = rand.Float64()*scale + base
}
return
}
// Arange Creates an array in one of three different ways, depending on input:
// Arange(stop): Array64 from zero to positive value or negative value to zero
// Arange(start, stop): Array64 from start to stop, with increment of 1 or -1, depending on inputs
// Arange(start, stop, step): Array64 from start to stop, with increment of step
//
// Any inputs beyond three values are ignored
func Arange(vals ...float64) (a *Array64) {
var start, stop, step float64 = 0, 0, 1
switch len(vals) {
case 0:
return newArray64(0)
case 1:
if vals[0] == 0 {
stop = 0
} else if vals[0] > 0 {
stop = vals[0] - 1
} else {
start = vals[0] + 1
}
case 2:
if vals[1] < vals[0] {
step = -1
}
start, stop = vals[0], vals[1]
default:
if vals[1] < vals[0] && vals[2] >= 0 || vals[1] > vals[0] && vals[2] <= 0 {
a = &Array64{err: ShapeError}
if debug {
a.debug = fmt.Sprintf("Arange received illegal values %v", vals)
a.stack = string(stackBuf[:runtime.Stack(stackBuf, false)])
}
return a
}
start, stop, step = vals[0], vals[1], vals[2]
}
a = NewArray64(nil, int((stop-start)/(step))+1)
for i, v := 0, start; i < len(a.data); i, v = i+1, v+step {
a.data[i] = v
}
return
}
// Identity creates a size x size matrix with 1's on the main diagonal.
// All other values will be zero.
//
// Negative size values will generate an error and return a nil value.
func Identity(size int) (r *Array64) {
if size < 0 {
r = &Array64{err: NegativeAxis}
if debug {
r.debug = fmt.Sprintf("Negative dimension received by Identity: %d", size)
r.stack = string(stackBuf[:runtime.Stack(stackBuf, false)])
}
return
}
r = NewArray64(nil, size, size)
for i := 0; i < r.strides[0]; i += r.strides[1] + r.strides[2] {
r.data[i] = 1
}
return
}
// String Satisfies the Stringer interface for fmt package
func (a *Array64) String() (s string) {
switch {
case a == nil:
return "<nil>"
case a.err != nil:
return "Error: " + a.err.(*ngError).s
case a.data == nil || a.shape == nil || a.strides == nil:
return "<nil>"
case a.strides[0] == 0:
return "[]"
case len(a.shape) == 1:
return fmt.Sprint(a.data)
}
stride := a.shape[len(a.shape)-1]
for i, k := 0, 0; i+stride <= len(a.data); i, k = i+stride, k+1 {
t := ""
for j, v := range a.strides {
if i%v == 0 && j < len(a.strides)-2 {
t += "["
}
}
s += strings.Repeat(" ", len(a.shape)-len(t)-1) + t
s += fmt.Sprint(a.data[i : i+stride])
t = ""
for j, v := range a.strides {
if (i+stride)%v == 0 && j < len(a.strides)-2 {
t += "]"
}
}
s += t + strings.Repeat(" ", len(a.shape)-len(t)-1)
if i+stride != len(a.data) {
s += "\n"
if len(t) > 0 {
s += "\n"
}
}
}
return
}
// Reshape Changes the size of the array axes. Values are not changed or moved.
// This must not change the size of the array.
// Incorrect dimensions will return a nil pointer
func (a *Array64) Reshape(shape ...int) *Array64 {
if a.HasErr() || len(shape) == 0 {
return a
}
var sz = 1
sh := make([]int, len(shape))
for _, v := range shape {
if v < 0 {
a.err = NegativeAxis
if debug {
a.debug = fmt.Sprintf("Negative dimension received by Reshape(): %v", shape)
a.stack = string(stackBuf[:runtime.Stack(stackBuf, false)])
}
return a
}
sz *= v
}
copy(sh, shape)
if sz != len(a.data) {
a.err = ReshapeError
if debug {
a.debug = fmt.Sprintf("Reshape() can not change data size. Dimensions: %v reshape: %v", a.shape, shape)
a.stack = string(stackBuf[:runtime.Stack(stackBuf, false)])
}
return a
}
a.strides = make([]int, len(sh)+1)
tmp := 1
for i := len(a.strides) - 1; i > 0; i-- {
a.strides[i] = tmp
tmp *= sh[i-1]
}
a.strides[0] = tmp
a.shape = sh
return a
}
// encode is used to prepare data for MarshalJSON that isn't JSON defined.
func (a *Array64) encode() (inf, nan []int64, err int8) {
for k, v := range a.data {
switch {
case math.IsNaN(float64(v)):
a.data[k] = 0
nan = append(nan, int64(k+1))
case math.IsInf(float64(v), 1):
a.data[k] = 0
inf = append(inf, int64(k+1))
case math.IsInf(float64(v), -1):
a.data[k] = 0
inf = append(inf, int64(-(k + 1)))
}
}
err = encodeErr(a.err)
return
}
// MarshalJSON fulfills the json.Marshaler Interface for encoding data.
// Custom Unmarshaler is needed to encode/send unexported values.
func (a *Array64) MarshalJSON() ([]byte, error) {
t := a.C()
inf, nan, err := t.encode()
return json.Marshal(struct {
Shape []int `json:"shape"`
Data []float64 `json:"data"`
Inf []int64 `json:"inf,omitempty"`
Nan []int64 `json:"nan,omitempty"`
Err int8 `json:"err,omitempty"`
}{
Shape: t.shape,
Data: t.data,
Inf: inf,
Nan: nan,
Err: err,
})
}
// decode is used to build Array from UnmarshalJSON for values that aren't JSON defined.
func (a *Array64) decode(i, n []int64, err int8) {
inf, nInf := math.Inf(1), math.Inf(-1)
nan := math.NaN()
for _, v := range n {
a.data[v-1] = nan
}
for _, v := range i {
if v-1 >= 0 {
a.data[v-1] = inf
} else {
a.data[-v-1] = nInf
}
}
a.err = decodeErr(err)
}
// UnmarshalJSON fulfills the json.Unmarshaler interface for decoding data.
// Custom Unmarshaler is needed to load/decode unexported values and build strides.
func (a *Array64) UnmarshalJSON(b []byte) error {
tmpA := new(struct {
Shape []int `json:"shape"`
Data []float64 `json:"data"`
Inf []int64 `json:"inf,omitempty"`
Nan []int64 `json:"nan,omitempty"`
Err int8 `json:"err,omitempty"`
})
err := json.Unmarshal(b, tmpA)
a.shape = tmpA.Shape
a.data = tmpA.Data
a.decode(tmpA.Inf, tmpA.Nan, tmpA.Err)
if a.data == nil && a.err == nil {
a.err = NilError
a.strides = nil
return nil
}
a.strides = make([]int, len(a.shape)+1)
tmp := 1
for i := len(a.strides) - 1; i > 0; i-- {
a.strides[i] = tmp
tmp *= a.shape[i-1]
}
a.strides[0] = tmp
return err
}