Update vectors.lua
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@ -58,6 +58,19 @@ function vector2:len()
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return math.sqrt(self.x * self.x + self.y * self.y)
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end
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-- angle between 2 vec2
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-- @param vector {ve2}
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-- @return {number} -> radians - angle between the 2 vec
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function vector2:abtw(vector)
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local dot_product = self:dot(vector)
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local len_product = self:len() * vector:len()
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if len_product == 0 then
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return 0
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end
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local radians = math.acos(dot_product / len_product)
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return radians
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end
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-- Normalize vec2
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-- @return {vector2} - The normalized vector2
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@ -74,6 +87,31 @@ function vector2:norm()
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end
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-- project vec2
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-- @param vector {vec2}
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-- @return {vec2} project
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function vector2:proj(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : proj(vec2) ))\nType arg proj(vec2)")
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error("Invalid input argument. Expected a vector2 object")
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end
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local dot_product = self:dot(vector)
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return vector:new(dot_product * (vector.x / vector:len()^2), dot_product * (vector.y / vector:len()^2))
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end
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-- exclude vector2
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-- @param vector {vec2}
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-- @return {vec2}
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function vector2:vxld(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : vxld(vec2) ))\nType arg vxld(vec2, vec2)")
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error("Invalid input argument. Expected a vector2 object\n")
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end
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return vector2:new(self.x - vector.x, self.y - vector.y)
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end
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-- vec2 dot product
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-- @param vector {vec2}
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-- @return {number}
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@ -87,6 +125,7 @@ end
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-- print(v1:dot(v1)) -- Output: (-0.83205029433784, 0.55470019622523)
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function vector2:dot(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : dot(vec2) ))\nType arg dot(vec2)")
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error("Invalid input argument. Expected a vector2 object")
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end
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return self.x * vector.x + self.y * vector.y
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@ -98,15 +137,31 @@ end
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-- @param t {number} - (0 <= t <= 1) the interpolation factor
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-- @return {vector2} - The interpolated vector2
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function vector2:lerp(b, t)
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if type(b) ~= "vector2" then
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error("Invalid input argument. Expected a vector2 object")
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if type(b) ~= "table" then
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print("\n(( TypeError : lerp(vec2) ))\nType arg lerp(vec2, number)")
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error("Invalid input argument. Expected a vector2 object\n")
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end
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if type(t) ~= "number" or t < 0 or t > 1 then
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error("Invalid input argument. Expected a number between 0 and 1")
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error("Invalid input argument. Expected a number between 0 and 1 .. (0 <= t <= 1)")
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end
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return vector2:new(self.x + t * (b.x - self.x), self.y + t * (b.y - self.y));
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end
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-- Dist btw 2 vec2
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-- @param vector {vector2}
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-- @return {number} - distance between the 2 vect2
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function vector2:dist(vector)
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if type(vector) ~= "table" then
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print("\n(( TypeError : dist(vec2) ))\nType arg dist(vec2)")
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error("Invalid input argument. Expected a vec2 object or a table with two numbers.")
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end
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local dx = self.x - vector.x
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local dy = self.y - vector.y
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local result = vec2(dx, dy)
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return result:len()
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end
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-- rotate vec2
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-- @param angle {number}
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-- @param axis {string} - axis rotate around (x, y, or z)
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@ -299,7 +354,17 @@ function vector3:len()
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return math.sqrt(self.x * self.x + self.y * self.y + self.z * self.z)
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end
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-- project vec3
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-- @param vector {vec3} - The direction vector
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-- @return {vec3} - The projected vector3
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function vector3:proj(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : proj(vec3) ))\nType arg proj(vector3)")
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error("Invalid input argument. Expected a vector3 object\n")
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end
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local dot_product = self:dot(vector)
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return vector:new(dot_product * (vector.x / vector:len()^2), dot_product * (vector.y / vector:len()^2), dot_product * (vector.z / vector:len()^2))
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end
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-- normalize vector
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-- @return {number}
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@ -317,15 +382,60 @@ end
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-- @param t {number} - (0 <= t <= 1) the interpolation factor
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-- @return {vec3}
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function vector3:lerp(b, t)
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if type(b) ~= "vector3" then
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error("Invalid input argument. Expected a vector3 object")
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if type(b) ~= "table" then
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print("\n(( TypeError : lerp(vec3) ))\nType arg lerp(vec3, number)")
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error("Invalid input argument. Expected a vector3 object\n")
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end
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if type(t) ~= "number" or t < 0 or t > 1 then
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error("Invalid input argument. Expected a number between 0 and 1")
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error("Invalid input argument. Expected a number between 0 and 1 .. (0 <= t <= 1)\n")
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end
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return vector3:new(self.x + t * (b.x - self.x), self.y + t * (b.y - self.y), self.z + t * (b.z - self.z));
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end
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-- distance to line vec3
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-- @param point1 {vec3} - The first point on the line
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-- @param point2 {vec3} - The second point on the line
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-- @return {number} - The shortest distance from the point to the line
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function vector3:dist2line(point1, point2)
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if type(point1) ~= "table" or type(point2) ~= "table" then
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print("\n(( TypeError : dist2line(vec3) ))\nType arg dist2line(vector3 , vector3)")
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error("Invalid input argument. Expected two vector3 objects\n")
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end
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local line_vector = point2 - point1
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local point_to_line = self - point1
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local projection = point_to_line - line_vector:proj(point_to_line)
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return projection:len()
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end
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-- angle between vec3
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-- @param vector {vec3} - The other vector3
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-- @return {number} -> rad .. angle between 2 vectors
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function vector3:abtw(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : abtw(vec3) ))\nType arg abtw(vector3)")
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error("Invalid input argument. Expected a vector3 object\n")
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end
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local dot_prod = self:dot(vector)
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local len_prod = self:len() * vector:len()
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if len_prod == 0 then
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return 0
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end
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return math.acos(dot_prod / len_prod)
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end
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-- exclude vector3
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-- @param vector {vec3}
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-- @return {vec3}
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function vector3:vxld(vector)
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if type(vector) == "number" then
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print("\n(( TypeError : vxld(vec3) ))\nType arg vxld(vec3, vec3)")
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error("Invalid input argument. Expected a vector3 object")
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end
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return vector3:new(self.x - vector.x, self.y - vector.y, self.z - vector.z)
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end
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-- rot vec3
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-- @param angle {number} -> float || int
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@ -504,3 +614,109 @@ function vector3.__tostring(vcrt3)
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return vcrt3:strvec3()
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end
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-----------------------------------------( test func)-----------------------------
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-- local v1 = vec2(1, 2)
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-- print(v1.x, v1.y) -- Output: 1, 2
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-- local v1 = vec2(1.2345, 6.7890)
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-- print(v1:round()) -- prints "(1, 7)"
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-- local v2 = vec2(3.14159, 2.71828)
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-- print(v2:round(2)) -- prints "(3.14, 2.72)"
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-- local v1 = vec2(3, 4)
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-- print(v1:len()) -- prints 5
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-- local v2 = vec2(1, -1)
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-- print(v2:len()) -- prints 1.4142135623731
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-- local v1 = vec2(1, 0)
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-- local v2 = vec2(0, 1)
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-- print(v1:abtw(v2)) -- prints 1.5707963267949
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-- local v3 = vec2(-1, 1)
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-- local v4 = vec2(1, 1)
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-- print(v3:abtw(v4)) -- prints 0.78539816339745
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-- local v1 = vec2(4, 3)
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-- print(v1:norm()) -- Output: (0.6, 0.8)
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-- local v1 = vec2(1, 2)
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-- local v2 = vec2(3, 4)
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-- print(v1:proj(v2)) -- Output: (0.6, 0.8)
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-- local v1 = vec2(1, 2)
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-- local v2 = vec2(3, 4)
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-- print(v1:vxld(v2)) -- Output: (-2, -2)
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-- local v1 = vec2(1, 2)
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-- local v2 = vec2(3, 4)
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-- print(v1:dot(v2)) -- Output: 11
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-- local v1 = vec2(1, 2)
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-- local v2 = vec2(3, 4)
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-- print(v1:lerp(v2, 0.5)) -- Output: (2, 3)
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-- local v1 = vec2(1, 2)
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-- local v2 = vec2(3, 4)
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-- print(v1:dist(v2)) -- Output: 2.8284271247462
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-- local v1 = vec2(1, 0)
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-- print(v1:rot(90, "x")) -- Output: (0, 1)
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-- print(v1:rot(90, "y")) -- Output: (-1, 0)
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-- print(v1:rot(90, "z")) -- Output: (0, -1)
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-- print(v1:rot(90)) -- Output: (0, -1)
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-- local v = vec3(1, 2, 3)
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-- print(v) -- Output: (1, 2, 3)
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-- local v1 = vec3(1, 2, 3)
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-- local v2 = vec3(4, 5, 6)
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-- print(v1:dot(v2)) -- Output: 32
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-- local v1 = vec3(1, 2, 3)
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-- local v2 = vec3(4, 5, 6)
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-- local v3 = v1:cross(v2)
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-- print(v3) -- Output: (−3, 6, −3)
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-- local v = vec3(1.6, 2.4, 3.2)
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-- v:round()
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-- print(v) -- Output: (2, 2, 3)
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-- local v1 = vec3(1, 0, 0)
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-- local v2 = vec3(2, 0, 0)
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-- print(v1:isParallel(v2)) -- Output: true
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-- local v = vec3(1, 2, 3)
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-- print(v:len()) -- Output: 3.7416573867739413
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-- local v1 = vec3(1, 2, 3)
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-- local v2 = vec3(4, 5, 6)
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-- local v3 = v1:proj(v2)
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-- print(v3) -- Output: (2.6., 4, 5.3.)
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-- local v = vec3(1, 2, 3)
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-- print(v:norm()) -- Output: (0.2672612419124244, 0.5345224838248487, 0.8017837257372731)
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-- local v1 = vec3(1, 2, 3)
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-- local v2 = vec3(4, 5, 6)
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-- local v3 = v1:lerp(v2, 0.5)
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-- print(v3) -- Output: (2.5, 3.5, 4.5)
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-- local v = vec3(1, 2, 3)
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-- local line_point1 = vec3(0, 0, 0)
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-- local line_point2 = vec3(2, 2, 2)
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-- print(v:dist2line(line_point1, line_point2))
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