Introduce convert_unit (#255)

* introduce `convert_unit`

* add tests for utility functions

* fix value of physical constants

docs/src/api.md

@@ -239,6 +239,7 @@ QuantumToolbox.versioninfo
 QuantumToolbox.about
 gaussian
 n_thermal
+convert_unit
 row_major_reshape
 meshgrid
 _calculate_expectation!

src/utilities.jl

@@ -3,7 +3,7 @@ Utilities:
     internal (or external) functions which will be used throughout the entire package
 =#
 
-export gaussian, n_thermal
+export gaussian, n_thermal, convert_unit
 export row_major_reshape, meshgrid
 
 @doc raw"""
@@ -48,6 +48,50 @@ function n_thermal(ω::T1, ω_th::T2) where {T1<:Real,T2<:Real}
     return _FType(promote_type(T1, T2))(n)
 end
 
+# some fundamental physical constants and common energy units
+const _e = 1.602176565e-19 # elementary charge  (C)
+const _kB = 1.3806488e-23  # Boltzmann constant (J/K)
+const _h = 6.62607015e-34  # Planck constant    (J⋅s)
+const _energy_units::Dict{Symbol,Float64} = Dict(
+    # the values below are all in the unit of Joule
+    :J => 1.0,
+    :eV => _e,
+    :meV => 1e-3 * _e,
+    :GHz => 1e9 * _h,
+    :mK => 1e-3 * _kB,
+)
+
+@doc raw"""
+    convert_unit(value::Real, unit1::Symbol, unit2::Symbol)
+
+Convert the energy `value` from `unit1` to `unit2`.
+
+Note that `unit1` and `unit2` can be either the following `Symbol`:
+- `:J`: Joule
+- `:eV`: electron volt.
+- `:meV`: milli-electron volt.
+- `:GHz`: Giga-Hertz multiplied by Planck constant ``h``.
+- `:mK`: milli-Kelvin multiplied by Boltzmann constant ``k_{\textrm{B}}``.
+
+# Examples
+
+```
+julia> convert_unit(1, :eV, :J)
+1.602176565e-19
+
+julia> convert_unit(1, :GHz, :J)
+6.62607015e-25
+
+julia> convert_unit(1, :meV, :mK)
+11604.51930280894
+```
+"""
+function convert_unit(value::T, unit1::Symbol, unit2::Symbol) where {T<:Real}
+    !haskey(_energy_units, unit1) && throw(ArgumentError("Invalid unit :$(unit1)"))
+    !haskey(_energy_units, unit2) && throw(ArgumentError("Invalid unit :$(unit2)"))
+    return _FType(T)(value * (_energy_units[unit1] / _energy_units[unit2]))
+end
+
 _get_dense_similar(A::AbstractArray, args...) = similar(A, args...)
 _get_dense_similar(A::AbstractSparseMatrix, args...) = similar(nonzeros(A), args...)
 

test/core-test/utilities.jl

@@ -0,0 +1,45 @@
+@testset "Utilities" verbose = true begin
+    @testset "n_thermal" begin
+        ω1 = rand(Float64)
+        ω2 = rand(Float64)
+        @test n_thermal(0, ω2) == 0.0
+        @test n_thermal(ω1, 0) == 0.0
+        @test n_thermal(ω1, -ω2) == 0.0
+        @test n_thermal(ω1, ω2) == 1 / (exp(ω1 / ω2) - 1)
+        @test typeof(n_thermal(Int32(2), Int32(3))) == Float32
+        @test typeof(n_thermal(Float32(2), Float32(3))) == Float32
+        @test typeof(n_thermal(Int64(2), Int32(3))) == Float64
+        @test typeof(n_thermal(Int32(2), Int64(3))) == Float64
+        @test typeof(n_thermal(Float64(2), Float32(3))) == Float64
+        @test typeof(n_thermal(Float32(2), Float64(3))) == Float64
+    end
+
+    @testset "convert unit" begin
+        V = 100 * rand(Float64)
+        _unit_list = [:J, :eV, :meV, :GHz, :mK]
+        for origin in _unit_list
+            for middle in _unit_list
+                for target in _unit_list
+                    V_middle = convert_unit(V, origin, middle)
+                    V_target = convert_unit(V_middle, middle, target)
+                    V_origin = convert_unit(V_target, target, origin)
+                    @test V ≈ V_origin
+                end
+            end
+        end
+        @test_throws ArgumentError convert_unit(V, :bad_unit, :J)
+        @test_throws ArgumentError convert_unit(V, :J, :bad_unit)
+    end
+
+    @testset "Type Inference" begin
+        v1 = rand(Float64)
+        @inferred n_thermal(v1, Int32(123))
+
+        _unit_list = [:J, :eV, :meV, :GHz, :mK]
+        for u1 in _unit_list
+            for u2 in _unit_list
+                @inferred convert_unit(v1, u1, u2)
+            end
+        end
+    end
+end

test/runtests.jl

@@ -23,6 +23,7 @@ core_tests = [
     "states_and_operators.jl",
     "steady_state.jl",
     "time_evolution.jl",
+    "utilities.jl",
     "wigner.jl",
 ]