feat(Paddle-frontend): Adds paddle.fft.ihfft2 (ivy-llc#25886)

Co-authored-by: hirwa-nshuti <[email protected]>

ivy/functional/frontends/paddle/fft.py

@@ -153,6 +153,41 @@ def ifftshift(x, axes=None, name=None):
     return roll
 
 
+@with_supported_dtypes(
+    {
+        "2.5.1 and below": (
+            "int32",
+            "int64",
+            "float32",
+            "float64",
+        )
+    },
+    "paddle",
+)
+@to_ivy_arrays_and_back
+def ihfft2(x, s=None, axes=(-2, -1), norm="backward", name=None):
+    # check if the input array is two-dimensional and real
+    if len(ivy.array(x).shape) != 2 or ivy.is_complex_dtype(x):
+        raise ValueError("input must be a two-dimensional real array")
+
+    # cast the input to the same float64 type so that there are no backend issues
+    x_ = ivy.astype(x, ivy.float64)
+
+    ihfft2_result = 0
+    # Compute the complex conjugate of the 2-dimensional discrete Fourier Transform
+    if norm == "backward":
+        ihfft2_result = ivy.conj(ivy.rfftn(x_, s=s, axes=axes, norm="forward"))
+    if norm == "forward":
+        ihfft2_result = ivy.conj(ivy.rfftn(x_, s=s, axes=axes, norm="backward"))
+    if norm == "ortho":
+        ihfft2_result = ivy.conj(ivy.rfftn(x_, s=s, axes=axes, norm="ortho"))
+
+    if x.dtype == ivy.float32 or x.dtype == ivy.int32 or x.dtype == ivy.int64:
+        return ivy.astype(ihfft2_result, ivy.complex64)
+    if x.dtype == ivy.float64:
+        return ivy.astype(ihfft2_result, ivy.complex128)
+
+
 @with_supported_dtypes(
     {"2.5.1 and below": ("complex64", "complex128")},
     "paddle",

ivy_tests/test_ivy/test_frontends/test_paddle/test_fft.py

@@ -258,6 +258,50 @@ def test_paddle_ifftshift(
     )
 
 
+@handle_frontend_test(
+    fn_tree="paddle.fft.ihfft2",
+    dtype_x_axis=helpers.dtype_values_axis(
+        available_dtypes=["float64", "float32", "int64", "int32"],
+        min_value=-10,
+        max_value=10,
+        min_num_dims=2,
+        max_num_dims=2,
+        shape=st.tuples(
+            st.integers(min_value=2, max_value=10),
+            st.integers(min_value=2, max_value=10),
+        ),
+    ),
+    s=st.one_of(
+        st.lists(st.integers(min_value=2, max_value=10), min_size=2, max_size=2),
+    ),
+    axes=st.just([-2, -1]),
+    norm=st.sampled_from(["backward", "ortho", "forward"]),
+)
+def test_paddle_ihfft2(
+    dtype_x_axis,
+    s,
+    axes,
+    norm,
+    frontend,
+    backend_fw,
+    test_flags,
+    fn_tree,
+):
+    input_dtypes, x, axis_ = dtype_x_axis
+
+    helpers.test_frontend_function(
+        input_dtypes=input_dtypes,
+        frontend=frontend,
+        backend_to_test=backend_fw,
+        test_flags=test_flags,
+        fn_tree=fn_tree,
+        x=x[0],
+        s=s,
+        axes=axes,
+        norm=norm,
+    )
+
+
 @handle_frontend_test(
     fn_tree="paddle.fft.irfft",
     dtype_x_axis=helpers.dtype_values_axis(