Allow reduce + tests

**Note it is not a Nodetype for the moment** only expending the reduce notation

Author: SophieL1

src/operators.jl

@@ -18,6 +18,7 @@ const DEFAULT_MULTIVARIATE_OPERATORS = [
     :norm,
     :sum,
     :row,
+    :reduce,
 ]
 
 function _validate_register_assumptions(

src/parse.jl

@@ -158,7 +158,9 @@ end
 
 function _parse_expression(stack, data, expr, x, parent_index)
     if Meta.isexpr(x, :call)
-        if length(x.args) == 2 && !Meta.isexpr(x.args[2], :...)
+        if x.args[1] == :reduce
+            _parse_reduce_expression(stack, data, expr, x, parent_index)
+        elseif length(x.args) == 2 && !Meta.isexpr(x.args[2], :...)
             _parse_univariate_expression(stack, data, expr, x, parent_index)
         else
             # The call is either n-ary, or it is a splat, in which case we
@@ -278,6 +280,36 @@ function _parse_vcat_expression(
     return
 end
 
+function _parse_reduce_expression(stack, data, expr, x, parent_index)
+    if length(x.args) != 3
+        error("Unsupported reduce expression: $x. Expected reduce(op, collection).")
+    end
+
+    op = x.args[2]
+    collection = x.args[3]
+
+    if !Meta.isexpr(collection, :vect)
+        error("Unsupported reduce collection: $collection. Expected a vector literal.")
+    end
+
+    args = collection.args
+
+    if isempty(args)
+        error("Unsupported reduce on empty collection.")
+    elseif length(args) == 1
+        push!(stack, (parent_index, args[1]))
+        return
+    end
+
+    folded = Expr(:call, op, args[1], args[2])
+    for i in 3:length(args)
+        folded = Expr(:call, op, folded, args[i])
+    end
+
+    push!(stack, (parent_index, folded))
+    return
+end
+
 function _parse_inequality_expression(
     stack::Vector{Tuple{Int,Any}},
     data::Model,

test/ArrayDiff.jl

@@ -634,6 +634,80 @@ function test_objective_broadcasted_tanh()
     return
 end
 
+function test_objective_reduce_sum()
+    model = ArrayDiff.Model()
+    x1 = MOI.VariableIndex(1)
+    x2 = MOI.VariableIndex(2)
+    x3 = MOI.VariableIndex(3)
+    ArrayDiff.set_objective(model, :(reduce(+, [$x1, $x2, $x3])))
+    evaluator = ArrayDiff.Evaluator(model, ArrayDiff.Mode(), [x1, x2, x3])
+    MOI.initialize(evaluator, [:Grad])
+    sizes = evaluator.backend.objective.expr.sizes
+    @test sizes.ndims == [0, 0, 0, 0, 0]
+    @test sizes.size_offset == [0, 0, 0, 0, 0]
+    @test sizes.size == []
+    @test sizes.storage_offset == [0, 1, 2, 3, 4, 5]
+    x1 = 1.0
+    x2 = 2.0
+    x3 = 3.0
+    @test MOI.eval_objective(evaluator, [x1, x2, x3]) == 6.0
+    g = ones(3)
+    MOI.eval_objective_gradient(evaluator, g, [x1, x2, x3])
+    @test g == [1.0, 1.0, 1.0]
+    return
+end
+
+function test_objective_reduce_prod()
+    model = ArrayDiff.Model()
+    x1 = MOI.VariableIndex(1)
+    x2 = MOI.VariableIndex(2)
+    x3 = MOI.VariableIndex(3)
+    ArrayDiff.set_objective(model, :(reduce(*, [$x1, $x2, $x3])))
+    evaluator = ArrayDiff.Evaluator(model, ArrayDiff.Mode(), [x1, x2, x3])
+    MOI.initialize(evaluator, [:Grad])
+    sizes = evaluator.backend.objective.expr.sizes
+    @test sizes.ndims == [0, 0, 0, 0, 0]
+    @test sizes.size_offset == [0, 0, 0, 0, 0]
+    @test sizes.size == []
+    @test sizes.storage_offset == [0, 1, 2, 3, 4, 5]
+    x1 = 1.0
+    x2 = 2.0
+    x3 = 3.0
+    @test MOI.eval_objective(evaluator, [x1, x2, x3]) == 6.0
+    g = ones(3)
+    MOI.eval_objective_gradient(evaluator, g, [x1, x2, x3])
+    @test g == [6.0 / x1, 6.0 / x2, 6.0 / x3]
+    return
+end
+
+function test_objective_reduce_atan()
+    model = ArrayDiff.Model()
+    x1 = MOI.VariableIndex(1)
+    x2 = MOI.VariableIndex(2)
+    x3 = MOI.VariableIndex(3)
+    ArrayDiff.set_objective(model, :(reduce(atan, [$x1, $x2, $x3])))
+    evaluator = ArrayDiff.Evaluator(model, ArrayDiff.Mode(), [x1, x2, x3])
+    MOI.initialize(evaluator, [:Grad])
+    sizes = evaluator.backend.objective.expr.sizes
+    @test sizes.ndims == [0, 0, 0, 0, 0]
+    @test sizes.size_offset == [0, 0, 0, 0, 0]
+    @test sizes.size == []
+    @test sizes.storage_offset == [0, 1, 2, 3, 4, 5]
+    x1 = 1.0
+    x2 = 2.0
+    x3 = 3.0
+    @test MOI.eval_objective(evaluator, [x1, x2, x3]) ==
+          atan(atan(x1, x2), x3)
+    g = ones(3)
+    MOI.eval_objective_gradient(evaluator, g, [x1, x2, x3])
+    @test g ≈ [
+        x2 * x3 / ((x1^2 + x2^2) * (x3^2 + atan(x1, x2)^2)),
+        -x1 * x3 / ((x1^2 + x2^2) * (x3^2 + atan(x1, x2)^2)),
+        -atan(x1, x2) / (x3^2 + atan(x1, x2)^2),
+    ]
+    return  
+end
+
 end  # module
 
 TestArrayDiff.runtests()