Ball Volume and Surface.

Author: him300

Project.toml

@@ -1,12 +1,20 @@
 name = "N_Balls"
-uuid = "1516a9df-afe8-4e6d-b045-52d61e3c975e"
-authors = ["Vectorized_Mind"]
+uuid = "931db479-4bb7-4c79-b0ca-9b52654c2507"
 version = "1.0.0-DEV"
+authors = ["Vectorized_Mind"]
+
+[deps]
+DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
 
 [compat]
+DataFrames = "1.8.1"
+SpecialFunctions = "2.7.1"
 julia = "1.10.10"
 
 [extras]
+DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]

src/N_Balls.jl

@@ -1,5 +1,45 @@
 module N_Balls
 
-# Write your package code here.
+import SpecialFunctions:gamma
+import DataFrames:DataFrame
+export n_ball_surface
+export n_ball_volume
+export n_ball_vol_surf
 
+@inline function n_ball_volume(r::Float64,n::Int64)
+  y=(pi^(n/2))*r^n/gamma((n/2)+1)
+ return y
+ end
+
+@inline function n_ball_surface(r::Float64,n::Int64)
+y=(2*pi^(n/2))*r^(n-1)/gamma(n/2)
+return y
+end
+
+@inline function n_ball_vol_surf(r::Float64,n::Int64)
+  s="$(n_ball_volume(r,n))"
+  s1="$n-Ball Volume: "
+  s2="$(n_ball_surface(r,n))"
+  s3="$n-Ball Surface/Area: "
+  println(s1*s)
+  println(s3*s2)
 end
+
+@inline function n_ball_volume(r::Vector{Float64},n::Int64)
+ (pi^(n/2).*r.^(n))./gamma(n/(2)+1)
+end
+
+@inline function n_ball_surface(r::Vector{Float64},n::Int64)
+  (2*pi^(n/2).*r.^(n-1))./gamma(n/(2))
+end
+
+@inline function n_ball_vol_surf(r::Vector{Float64},n::Int64)
+  x=n_ball_surface(r,n)
+  y=n_ball_volume(r,n)
+  s="$n-Ball Volume"
+  s1="$n-Ball Surface"
+  return(DataFrame(s1=>x,s=>y))
+end
+
+
+end