diff --git a/tests/test_ASTNodeFunctionExpressionBuilder.cpp b/tests/test_ASTNodeFunctionExpressionBuilder.cpp
index 806ce8b806d558a03c1e6d8de1b67720811698b2..802e2eeb60d3cacd7ad19a476d11b9a300d6b9b4 100644
--- a/tests/test_ASTNodeFunctionExpressionBuilder.cpp
+++ b/tests/test_ASTNodeFunctionExpressionBuilder.cpp
@@ -584,6 +584,51 @@ f(0);
 
       CHECK_AST(data, result);
     }
+
+    SECTION("Arguments tuple -> R^d")
+    {
+      std::string_view data = R"(
+let f: R^3 -> R, x -> x[0]+x[1]+x[2];
+f((1,2,3));
+)";
+
+      std::string_view result = R"(
+(root:ASTNodeListProcessor)
+ `-(language::function_evaluation:FunctionProcessor)
+     +-(language::name:f:NameProcessor)
+     `-(language::tuple_expression:TupleToVectorProcessor<ASTNodeExpressionListProcessor, 3ul>)
+         +-(language::integer:1:ValueProcessor)
+         +-(language::integer:2:ValueProcessor)
+         `-(language::integer:3:ValueProcessor)
+)";
+
+      CHECK_AST(data, result);
+    }
+
+    SECTION("Arguments compound with tuple")
+    {
+      std::string_view data = R"(
+let f: R*R^3*R^2->R, (t,x,y) -> t*(x[0]+x[1]+x[2])*y[0]+y[1];
+f(2,(1,2,3),(2,1.3));
+)";
+
+      std::string_view result = R"(
+(root:ASTNodeListProcessor)
+ `-(language::function_evaluation:FunctionProcessor)
+     +-(language::name:f:NameProcessor)
+     `-(language::function_argument_list:ASTNodeExpressionListProcessor)
+         +-(language::integer:2:ValueProcessor)
+         +-(language::tuple_expression:TupleToVectorProcessor<ASTNodeExpressionListProcessor, 3ul>)
+         |   +-(language::integer:1:ValueProcessor)
+         |   +-(language::integer:2:ValueProcessor)
+         |   `-(language::integer:3:ValueProcessor)
+         `-(language::tuple_expression:TupleToVectorProcessor<ASTNodeExpressionListProcessor, 2ul>)
+             +-(language::integer:2:ValueProcessor)
+             `-(language::real:1.3:ValueProcessor)
+)";
+
+      CHECK_AST(data, result);
+    }
   }
 
   SECTION("errors")
@@ -724,5 +769,68 @@ prev(3 + .24);
         CHECK_AST_THROWS_WITH(data, std::string{"invalid implicit conversion: R -> Z"});
       }
     }
+
+    SECTION("arguments invalid tuple -> R^d conversion")
+    {
+      SECTION("tuple[3] -> R^2")
+      {
+        std::string_view data = R"(
+let f : R^2 -> R, x->x[0];
+f((1,2,3));
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"incompatible dimensions in affectation"});
+      }
+
+      SECTION("tuple[2] -> R^3")
+      {
+        std::string_view data = R"(
+let f : R^3 -> R, x->x[0];
+f((1,2));
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"incompatible dimensions in affectation"});
+      }
+
+      SECTION("compound tuple[3] -> R^2")
+      {
+        std::string_view data = R"(
+let f : R*R^2 -> R, (t,x)->x[0];
+f(1,(1,2,3));
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"incompatible dimensions in affectation"});
+      }
+
+      SECTION("compound tuple[2] -> R^3")
+      {
+        std::string_view data = R"(
+let f : R^3*R^2 -> R, (x,y)->x[0]*y[1];
+f((1,2),(3,4));
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"incompatible dimensions in affectation"});
+      }
+
+      SECTION("list instead of tuple -> R^3")
+      {
+        std::string_view data = R"(
+let f : R^3 -> R, x -> x[0]*x[1];
+f(1,2,3);
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"bad number of arguments: expecting 1, provided 3"});
+      }
+
+      SECTION("list instead of tuple -> R^3*R^2")
+      {
+        std::string_view data = R"(
+let f : R^3*R^2 -> R, (x,y) -> x[0]*x[1]-y[0];
+f((1,2,3),2,3);
+)";
+
+        CHECK_AST_THROWS_WITH(data, std::string{"bad number of arguments: expecting 2, provided 3"});
+      }
+    }
   }
 }