add more tests & deprecation

Author: Roger-luo

src/FiniteDifferences.jl

@@ -7,4 +7,7 @@ module FiniteDifferences
     include("methods.jl")
     include("numerics.jl")
     include("grad.jl")
+
+
+    @deprecate jacobian(fdm, f, x::Vector, D::Int) jacobian(fdm, f, x; len=D)
 end

test/grad.jl

@@ -45,9 +45,9 @@ Base.length(x::DummyType) = size(x.X, 1)
     end
 
     @testset "multi vars jacobian/grad" begin
-        fdm = central_fdm(5, 1)
+        rng, fdm = MersenneTwister(123456), central_fdm(5, 1)
         f1(x, y) = x * y + x
-        x, y = rand(3, 3), rand(3, 3)
+        x, y = rand(rng, 3, 3), rand(rng, 3, 3)
         jac_xs = jacobian(fdm, f1, x, y)
         @test jac_xs[1] ≈ jacobian(fdm, x->f1(x, y), x)
         @test jac_xs[2] ≈ jacobian(fdm, y->f1(x, y), y)
@@ -59,15 +59,26 @@ Base.length(x::DummyType) = size(x.X, 1)
         @test jac_xs[2] ≈ jacobian(fdm, y->f1(x, y), y)
 
         f2(x, y) = sum(x * y + x)
-        x, y = rand(3, 3), rand(3, 3)
+        x, y = rand(rng, 3, 3), rand(rng, 3, 3)
         dxs = grad(fdm, f2, x, y)
         @test dxs[1] ≈ grad(fdm, x->f2(x, y), x)
         @test dxs[2] ≈ grad(fdm, y->f2(x, y), y)
 
-        x, y = rand(3, 3), 2
+        x, y = rand(rng, 3, 3), 2
         dxs = grad(fdm, f2, x, y)
         @test dxs[1] ≈ grad(fdm, x->f2(x, y), x)
         @test dxs[2] ≈ grad(fdm, y->f2(x, y), y)
+
+        f3(x::Tuple) = sum(x[1]) + x[2]
+        dxs = grad(fdm, f3, (x, y))
+        @test dxs[1] ≈ grad(fdm, x->f3((x, y)), x)
+        @test dxs[2] ≈ grad(fdm, y->f3((x, y)), y)
+
+        f4(d::Dict) = sum(d[:x]) + d[:y]
+        d = Dict(:x=>x, :y=>y)
+        dxs = grad(fdm, f4, d)
+        @test dxs[:x] ≈ grad(fdm, x->f3((x, y)), x)
+        @test dxs[:y] ≈ grad(fdm, y->f3((x, y)), y)
     end
 
     function test_to_vec(x)