Add multivariate dual numbers with arbitrary depth

examples/dual.rs

@@ -0,0 +1,29 @@
+use symbolica::{
+    create_hyperdual_from_components,
+    domains::{float::NumericalFloatLike, rational::Rational},
+};
+
+create_hyperdual_from_components!(
+    Dual,
+    [
+        [0, 0, 0],
+        [1, 0, 0],
+        [0, 1, 0],
+        [0, 0, 1],
+        [1, 1, 0],
+        [1, 0, 1],
+        [0, 1, 1],
+        [1, 1, 1],
+        [2, 0, 0]
+    ]
+);
+
+fn main() {
+    let x = Dual::<Rational>::new_variable(0, (1, 1).into());
+    let y = Dual::new_variable(1, (2, 1).into());
+    let z = Dual::new_variable(2, (3, 1).into());
+
+    let t3 = x * y * z;
+
+    println!("{}", t3.inv());
+}

src/domains.rs

@@ -1,5 +1,6 @@
 pub mod algebraic_number;
 pub mod atom;
+pub mod dual;
 pub mod factorized_rational_polynomial;
 pub mod finite_field;
 pub mod float;