Helper API refactor (#40)
* api cleaup * updates * wtf * updates * snapshot. * tweaks * snapshot * api tweaks. * updates * updates * updates * changes. * updates * updates * sequence => seq * dont need to use curl, just using wget * fixing examples
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100 changed files with 1687 additions and 1055 deletions
253
util/math.go
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253
util/math.go
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package util
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import (
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"math"
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"time"
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)
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const (
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_pi = math.Pi
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_2pi = 2 * math.Pi
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_3pi4 = (3 * math.Pi) / 4.0
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_4pi3 = (4 * math.Pi) / 3.0
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_3pi2 = (3 * math.Pi) / 2.0
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_5pi4 = (5 * math.Pi) / 4.0
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_7pi4 = (7 * math.Pi) / 4.0
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_pi2 = math.Pi / 2.0
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_pi4 = math.Pi / 4.0
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_d2r = (math.Pi / 180.0)
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_r2d = (180.0 / math.Pi)
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)
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var (
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// Math contains helper methods for common math operations.
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Math = &mathUtil{}
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)
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type mathUtil struct{}
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// Max returns the maximum value of a group of floats.
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func (m mathUtil) Max(values ...float64) float64 {
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if len(values) == 0 {
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return 0
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}
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max := values[0]
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for _, v := range values {
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if max < v {
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max = v
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}
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}
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return max
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}
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// MinAndMax returns both the min and max in one pass.
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func (m mathUtil) MinAndMax(values ...float64) (min float64, max float64) {
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if len(values) == 0 {
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return
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}
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min = values[0]
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max = values[0]
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for _, v := range values[1:] {
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if max < v {
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max = v
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}
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if min > v {
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min = v
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}
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}
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return
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}
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// MinAndMaxOfTime returns the min and max of a given set of times
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// in one pass.
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func (m mathUtil) MinAndMaxOfTime(values ...time.Time) (min time.Time, max time.Time) {
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if len(values) == 0 {
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return
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}
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min = values[0]
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max = values[0]
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for _, v := range values[1:] {
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if max.Before(v) {
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max = v
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}
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if min.After(v) {
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min = v
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}
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}
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return
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}
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// GetRoundToForDelta returns a `roundTo` value for a given delta.
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func (m mathUtil) GetRoundToForDelta(delta float64) float64 {
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startingDeltaBound := math.Pow(10.0, 10.0)
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for cursor := startingDeltaBound; cursor > 0; cursor /= 10.0 {
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if delta > cursor {
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return cursor / 10.0
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}
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}
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return 0.0
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}
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// RoundUp rounds up to a given roundTo value.
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func (m mathUtil) RoundUp(value, roundTo float64) float64 {
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d1 := math.Ceil(value / roundTo)
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return d1 * roundTo
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}
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// RoundDown rounds down to a given roundTo value.
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func (m mathUtil) RoundDown(value, roundTo float64) float64 {
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d1 := math.Floor(value / roundTo)
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return d1 * roundTo
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}
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// Normalize returns a set of numbers on the interval [0,1] for a given set of inputs.
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// An example: 4,3,2,1 => 0.4, 0.3, 0.2, 0.1
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// Caveat; the total may be < 1.0; there are going to be issues with irrational numbers etc.
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func (m mathUtil) Normalize(values ...float64) []float64 {
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var total float64
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for _, v := range values {
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total += v
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}
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output := make([]float64, len(values))
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for x, v := range values {
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output[x] = m.RoundDown(v/total, 0.0001)
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}
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return output
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}
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// MinInt returns the minimum of a set of integers.
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func (m mathUtil) MinInt(values ...int) int {
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min := math.MaxInt32
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for _, v := range values {
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if v < min {
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min = v
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}
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}
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return min
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}
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// MaxInt returns the maximum of a set of integers.
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func (m mathUtil) MaxInt(values ...int) int {
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max := math.MinInt32
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for _, v := range values {
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if v > max {
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max = v
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}
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}
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return max
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}
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// AbsInt returns the absolute value of an integer.
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func (m mathUtil) AbsInt(value int) int {
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if value < 0 {
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return -value
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}
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return value
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}
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// AbsInt64 returns the absolute value of a long.
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func (m mathUtil) AbsInt64(value int64) int64 {
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if value < 0 {
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return -value
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}
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return value
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}
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// Mean returns the mean of a set of values
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func (m mathUtil) Mean(values ...float64) float64 {
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return m.Sum(values...) / float64(len(values))
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}
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// MeanInt returns the mean of a set of integer values.
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func (m mathUtil) MeanInt(values ...int) int {
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return m.SumInt(values...) / len(values)
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}
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// Sum sums a set of values.
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func (m mathUtil) Sum(values ...float64) float64 {
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var total float64
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for _, v := range values {
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total += v
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}
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return total
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}
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// SumInt sums a set of values.
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func (m mathUtil) SumInt(values ...int) int {
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var total int
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for _, v := range values {
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total += v
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}
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return total
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}
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// PercentDifference computes the percentage difference between two values.
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// The formula is (v2-v1)/v1.
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func (m mathUtil) PercentDifference(v1, v2 float64) float64 {
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if v1 == 0 {
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return 0
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}
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return (v2 - v1) / v1
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}
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// DegreesToRadians returns degrees as radians.
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func (m mathUtil) DegreesToRadians(degrees float64) float64 {
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return degrees * _d2r
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}
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// RadiansToDegrees translates a radian value to a degree value.
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func (m mathUtil) RadiansToDegrees(value float64) float64 {
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return math.Mod(value, _2pi) * _r2d
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}
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// PercentToRadians converts a normalized value (0,1) to radians.
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func (m mathUtil) PercentToRadians(pct float64) float64 {
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return m.DegreesToRadians(360.0 * pct)
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}
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// RadianAdd adds a delta to a base in radians.
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func (m mathUtil) RadianAdd(base, delta float64) float64 {
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value := base + delta
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if value > _2pi {
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return math.Mod(value, _2pi)
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} else if value < 0 {
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return math.Mod(_2pi+value, _2pi)
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}
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return value
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}
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// DegreesAdd adds a delta to a base in radians.
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func (m mathUtil) DegreesAdd(baseDegrees, deltaDegrees float64) float64 {
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value := baseDegrees + deltaDegrees
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if value > _2pi {
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return math.Mod(value, 360.0)
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} else if value < 0 {
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return math.Mod(360.0+value, 360.0)
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}
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return value
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}
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// DegreesToCompass returns the degree value in compass / clock orientation.
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func (m mathUtil) DegreesToCompass(deg float64) float64 {
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return m.DegreesAdd(deg, -90.0)
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}
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// CirclePoint returns the absolute position of a circle diameter point given
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// by the radius and the theta.
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func (m mathUtil) CirclePoint(cx, cy int, radius, thetaRadians float64) (x, y int) {
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x = cx + int(radius*math.Sin(thetaRadians))
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y = cy - int(radius*math.Cos(thetaRadians))
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return
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}
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func (m mathUtil) RotateCoordinate(cx, cy, x, y int, thetaRadians float64) (rx, ry int) {
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tempX, tempY := float64(x-cx), float64(y-cy)
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rotatedX := tempX*math.Cos(thetaRadians) - tempY*math.Sin(thetaRadians)
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rotatedY := tempX*math.Sin(thetaRadians) + tempY*math.Cos(thetaRadians)
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rx = int(rotatedX) + cx
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ry = int(rotatedY) + cy
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return
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}
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