/
math.go
237 lines (209 loc) · 5.43 KB
/
math.go
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package util
import (
"math"
)
const (
_pi = math.Pi
_2pi = 2 * math.Pi
_3pi4 = (3 * math.Pi) / 4.0
_4pi3 = (4 * math.Pi) / 3.0
_3pi2 = (3 * math.Pi) / 2.0
_5pi4 = (5 * math.Pi) / 4.0
_7pi4 = (7 * math.Pi) / 4.0
_pi2 = math.Pi / 2.0
_pi4 = math.Pi / 4.0
_d2r = (math.Pi / 180.0)
_r2d = (180.0 / math.Pi)
)
var (
// Math contains helper methods for common math operations.
Math = &mathUtil{}
)
type mathUtil struct{}
// Max returns the maximum value of a group of floats.
func (m mathUtil) Max(values ...float64) float64 {
if len(values) == 0 {
return 0
}
max := values[0]
for _, v := range values {
if max < v {
max = v
}
}
return max
}
// MinAndMax returns both the min and max in one pass.
func (m mathUtil) MinAndMax(values ...float64) (min float64, max float64) {
if len(values) == 0 {
return
}
min = values[0]
max = values[0]
for _, v := range values[1:] {
if max < v {
max = v
}
if min > v {
min = v
}
}
return
}
// GetRoundToForDelta returns a `roundTo` value for a given delta.
func (m mathUtil) GetRoundToForDelta(delta float64) float64 {
startingDeltaBound := math.Pow(10.0, 10.0)
for cursor := startingDeltaBound; cursor > 0; cursor /= 10.0 {
if delta > cursor {
return cursor / 10.0
}
}
return 0.0
}
// RoundUp rounds up to a given roundTo value.
func (m mathUtil) RoundUp(value, roundTo float64) float64 {
if roundTo < 0.000000000000001 {
return value
}
d1 := math.Ceil(value / roundTo)
return d1 * roundTo
}
// RoundDown rounds down to a given roundTo value.
func (m mathUtil) RoundDown(value, roundTo float64) float64 {
if roundTo < 0.000000000000001 {
return value
}
d1 := math.Floor(value / roundTo)
return d1 * roundTo
}
// Normalize returns a set of numbers on the interval [0,1] for a given set of inputs.
// An example: 4,3,2,1 => 0.4, 0.3, 0.2, 0.1
// Caveat; the total may be < 1.0; there are going to be issues with irrational numbers etc.
func (m mathUtil) Normalize(values ...float64) []float64 {
var total float64
for _, v := range values {
total += v
}
output := make([]float64, len(values))
for x, v := range values {
output[x] = m.RoundDown(v/total, 0.0001)
}
return output
}
// MinInt returns the minimum of a set of integers.
func (m mathUtil) MinInt(values ...int) int {
min := math.MaxInt32
for _, v := range values {
if v < min {
min = v
}
}
return min
}
// MaxInt returns the maximum of a set of integers.
func (m mathUtil) MaxInt(values ...int) int {
max := math.MinInt32
for _, v := range values {
if v > max {
max = v
}
}
return max
}
// AbsInt returns the absolute value of an integer.
func (m mathUtil) AbsInt(value int) int {
if value < 0 {
return -value
}
return value
}
// AbsInt64 returns the absolute value of a long.
func (m mathUtil) AbsInt64(value int64) int64 {
if value < 0 {
return -value
}
return value
}
// Mean returns the mean of a set of values
func (m mathUtil) Mean(values ...float64) float64 {
return m.Sum(values...) / float64(len(values))
}
// MeanInt returns the mean of a set of integer values.
func (m mathUtil) MeanInt(values ...int) int {
return m.SumInt(values...) / len(values)
}
// Sum sums a set of values.
func (m mathUtil) Sum(values ...float64) float64 {
var total float64
for _, v := range values {
total += v
}
return total
}
// SumInt sums a set of values.
func (m mathUtil) SumInt(values ...int) int {
var total int
for _, v := range values {
total += v
}
return total
}
// PercentDifference computes the percentage difference between two values.
// The formula is (v2-v1)/v1.
func (m mathUtil) PercentDifference(v1, v2 float64) float64 {
if v1 == 0 {
return 0
}
return (v2 - v1) / v1
}
// DegreesToRadians returns degrees as radians.
func (m mathUtil) DegreesToRadians(degrees float64) float64 {
return degrees * _d2r
}
// RadiansToDegrees translates a radian value to a degree value.
func (m mathUtil) RadiansToDegrees(value float64) float64 {
return math.Mod(value, _2pi) * _r2d
}
// PercentToRadians converts a normalized value (0,1) to radians.
func (m mathUtil) PercentToRadians(pct float64) float64 {
return m.DegreesToRadians(360.0 * pct)
}
// RadianAdd adds a delta to a base in radians.
func (m mathUtil) RadianAdd(base, delta float64) float64 {
value := base + delta
if value > _2pi {
return math.Mod(value, _2pi)
} else if value < 0 {
return math.Mod(_2pi+value, _2pi)
}
return value
}
// DegreesAdd adds a delta to a base in radians.
func (m mathUtil) DegreesAdd(baseDegrees, deltaDegrees float64) float64 {
value := baseDegrees + deltaDegrees
if value > _2pi {
return math.Mod(value, 360.0)
} else if value < 0 {
return math.Mod(360.0+value, 360.0)
}
return value
}
// DegreesToCompass returns the degree value in compass / clock orientation.
func (m mathUtil) DegreesToCompass(deg float64) float64 {
return m.DegreesAdd(deg, -90.0)
}
// CirclePoint returns the absolute position of a circle diameter point given
// by the radius and the theta.
func (m mathUtil) CirclePoint(cx, cy int, radius, thetaRadians float64) (x, y int) {
x = cx + int(radius*math.Sin(thetaRadians))
y = cy - int(radius*math.Cos(thetaRadians))
return
}
func (m mathUtil) RotateCoordinate(cx, cy, x, y int, thetaRadians float64) (rx, ry int) {
tempX, tempY := float64(x-cx), float64(y-cy)
rotatedX := tempX*math.Cos(thetaRadians) - tempY*math.Sin(thetaRadians)
rotatedY := tempX*math.Sin(thetaRadians) + tempY*math.Cos(thetaRadians)
rx = int(rotatedX) + cx
ry = int(rotatedY) + cy
return
}