feat: update workspace paths and enhance gitignore

- Updated stablediffusion crate path from "../stable-diffusion-burn" to "./crates/stable-diffusion-burn" for proper workspace resolution
- Enhanced .gitignore to include generated model files (.mpk, .pt, .bin, .safetensors, .ckpt) and user_data directory
- Added Cargo.lock to gitignore with appropriate comment
- Reorganized IDE files section in gitignore for better clarity
- Added newline at end of file for proper formatting

crates/stable-diffusion-burn/burn-crates/burn-backend-tests/tests/autodiff/pow.rs

@@ -0,0 +1,93 @@
+use super::*;
+use burn_tensor::TensorData;
+use burn_tensor::Tolerance;
+
+#[test]
+fn should_diff_powf_scalar() {
+    let data_1 = TensorData::from([[0.0, 1.0], [3.0, 4.0]]);
+    let data_2 = TensorData::from([[6.0, 7.0], [9.0, 10.0]]);
+
+    let device = Default::default();
+    let tensor_1 = TestAutodiffTensor::<2>::from_data(data_1, &device).require_grad();
+    let tensor_2 = TestAutodiffTensor::from_data(data_2, &device).require_grad();
+
+    let tensor_3 = tensor_1.clone().matmul(tensor_2.clone().powf_scalar(0.4));
+    let tensor_4 = tensor_3.matmul(tensor_2.clone());
+    let grads = tensor_4.backward();
+
+    let grad_1 = tensor_1.grad(&grads).unwrap();
+    let grad_2 = tensor_2.grad(&grads).unwrap();
+
+    let tolerance = Tolerance::default().set_half_precision_relative(2e-3);
+    let expected = TensorData::from([[68.0, 79.0328], [68.0, 79.0328]]);
+    grad_1
+        .to_data()
+        .assert_approx_eq::<FloatElem>(&expected, tolerance);
+
+    let expected = TensorData::from([[23.5081, 25.2779], [26.0502, 28.6383]]);
+    grad_2
+        .to_data()
+        .assert_approx_eq::<FloatElem>(&expected, tolerance);
+}
+
+#[test]
+fn should_diff_powf() {
+    let device = Default::default();
+    let tensor_1 = TestAutodiffTensor::<1>::from_data([2.0, 7.0], &device).require_grad();
+    let tensor_2 = TestAutodiffTensor::from_data([4.0, 2.0], &device).require_grad();
+
+    let tensor_3 = tensor_1.clone().powf(tensor_2.clone());
+    let grads = tensor_3.backward();
+
+    let grad_1 = tensor_1.grad(&grads).unwrap();
+    let grad_2 = tensor_2.grad(&grads).unwrap();
+
+    let expected = TensorData::from([32.0, 14.0]);
+    grad_1
+        .into_data()
+        .assert_approx_eq::<FloatElem>(&expected, Tolerance::default());
+
+    let expected = TensorData::from([11.09035, 95.34960]);
+    grad_2
+        .into_data()
+        .assert_approx_eq::<FloatElem>(&expected, Tolerance::default());
+
+    let expected = TensorData::from([16.0, 49.0]);
+    tensor_3
+        .into_data()
+        .assert_approx_eq::<FloatElem>(&expected, Tolerance::default());
+}
+
+#[test]
+fn should_diff_powf_with_untracked_lhs() {
+    let device = Default::default();
+    let tensor_1 = TestAutodiffTensor::<1>::from_data([2.0, 7.0], &device);
+    let tensor_2 = TestAutodiffTensor::from_data([4.0, 2.0], &device).require_grad();
+
+    let tensor_3 = tensor_1.clone().powf(tensor_2.clone());
+    let grads = tensor_3.backward();
+
+    let grad_2 = tensor_2.grad(&grads).unwrap();
+
+    let expected = TensorData::from([11.09035, 95.34960]);
+    grad_2
+        .to_data()
+        .assert_approx_eq::<FloatElem>(&expected, Tolerance::default());
+}
+
+#[test]
+fn should_diff_powf_with_untracked_rhs() {
+    let device = Default::default();
+    let tensor_1 = TestAutodiffTensor::<1>::from_data([2.0, 7.0], &device).require_grad();
+    let tensor_2 = TestAutodiffTensor::from_data([4.0, 2.0], &device);
+
+    let tensor_3 = tensor_1.clone().powf(tensor_2.clone());
+    let grads = tensor_3.backward();
+
+    let grad_1 = tensor_1.grad(&grads).unwrap();
+
+    let expected = TensorData::from([32.0, 14.0]);
+    grad_1
+        .into_data()
+        .assert_approx_eq::<FloatElem>(&expected, Tolerance::default());
+}