feat(xp): functions

README.md

@@ -11,12 +11,12 @@ Bot for the private server Discord "Les Copaings"
 ### XP
 
 Functions:
-- $xp-message(x;y) = 0.025 x^{1.25}y^{0.5}+1$ where $x$ is the length of the message and $y$ is the diversity of the 
+- $xp-message(x;y) = 0.025 x^{1.25}\sqrt{y}+1$ where $x$ is the length of the message and $y$ is the diversity of the 
 message (number of different rune)
 - $xp-vocal(x)=0.01 x^{1.3}+1$ where $x$ is the time spent in vocal (in second)
-- $level(x)=0.2 x^{0.5}$ where $x$ is the xp
+- $level(x)=0.2 \sqrt{x}$ where $x$ is the xp
 - $level^{-1}(x)=(5x)^2$ where $x$ is the level
-- $lose(x,y)= x^2\cdot 10^{-2+\ln(x/85)}\cdot\lfloor y/100 \rfloor$ where $x$ is the inactivity time (hour) and $y$ is the xp
+- $lose(x,y)= x^2\cdot 10^{-2+\ln(x/85)}\cdot\lfloor y/500 \rfloor$ where $x$ is the inactivity time (hour) and $y$ is the xp
 
 ## Technologies
 

xp/functions.go

@@ -0,0 +1,33 @@
+package xp
+
+import "math"
+
+func XPMessage(length uint, diversity uint) uint {
+	return uint(math.Floor(
+		0.025*math.Pow(float64(length), 1.25)*math.Sqrt(float64(diversity)) + 1,
+	))
+}
+
+func XPVocal(time uint) uint {
+	return uint(math.Floor(
+		0.01*math.Pow(float64(time), 1.3) + 1,
+	))
+}
+
+func Level(xp uint) uint {
+	return uint(math.Floor(
+		0.2 * math.Sqrt(float64(xp)),
+	))
+}
+
+func XPForLevel(level uint) uint {
+	return uint(math.Floor(
+		math.Pow(float64(5*level), 2),
+	))
+}
+
+func Lose(time uint, xp uint) uint {
+	return uint(math.Floor(
+		math.Pow(float64(time), 2) * math.Pow(10, -2+math.Log(float64(time/85))) * math.Floor(float64(time/500)),
+	))
+}