1 files changed, 17 insertions, 5 deletions
diff --git a/src/tools.jl b/src/tools.jl
index 0d3dc7f..5d1678d 100644
--- a/src/tools.jl
+++ b/src/tools.jl
@@ -1,4 +1,4 @@
-## Copyright 2021 Ian Jauslin
+## Copyright 2021-2023 Ian Jauslin
 ## 
 ## Licensed under the Apache License, Version 2.0 (the "License");
 ## you may not use this file except in compliance with the License.
@@ -13,7 +13,9 @@
 ## limitations under the License.
 
 # \Phi(x)=2*(1-sqrt(1-x))/x
-@everywhere function Phi(x)
+@everywhere function Phi(
+  x::Float64
+)
   if abs(x)>1e-5
     return 2*(1-sqrt(abs(1-x)))/x
   else
@@ -21,7 +23,9 @@
   end
 end
 # \partial\Phi
-@everywhere function dPhi(x)
+@everywhere function dPhi(
+  x::Float64
+)
   #if abs(x-1)<1e-5
   #  @printf(stderr,"warning: dPhi is singular at 1, and evaluating it at (% .8e+i% .8e)\n",real(x),imag(x))
   #end
@@ -33,17 +37,25 @@ end
 end
 
 # apply Phi to every element of a vector
-@everywhere function dotPhi(v)
+@everywhere function dotPhi(
+  v::Array{Float64,1}
+)
   out=zeros(Float64,length(v))
   for i in 1:length(v)
     out[i]=Phi(v[i])
   end
   return out
 end
-@everywhere function dotdPhi(v)
+@everywhere function dotdPhi(
+  v::Array{Float64,1}
+)
   out=zeros(Float64,length(v))
   for i in 1:length(v)
     out[i]=dPhi(v[i])
   end
   return out
 end
+
+@everywhere function sinc(x::Float64)
+  return (x == 0 ? 1 : sin(x)/x)
+end