package chart import ( "math" "time" ) 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 { if max < v { max = v } if min > v { min = v } } return } // MinAndMaxOfTime returns the min and max of a given set of times // in one pass. func (m mathUtil) MinAndMaxOfTime(values ...time.Time) (min time.Time, max time.Time) { if len(values) == 0 { return } min = values[0] max = values[0] for _, v := range values { if max.Before(v) { max = v } if min.After(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 { d1 := math.Ceil(value / roundTo) return d1 * roundTo } // RoundDown rounds down to a given roundTo value. func (m mathUtil) RoundDown(value, roundTo float64) float64 { 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 } // 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 }