diff --git a/src/ntops/kernels/__init__.py b/src/ntops/kernels/__init__.py
index 084e52c..c24a979 100644
--- a/src/ntops/kernels/__init__.py
+++ b/src/ntops/kernels/__init__.py
@@ -36,6 +36,10 @@
     softmax,
     sub,
     tanh,
+    logical_or,
+    logical_xor,
+    logsigmoid,
+    where,
 )
 
 __all__ = [
@@ -76,4 +80,9 @@
     "softmax",
     "sub",
     "tanh",
+    "logical_or",
+    "logical_xor",
+    "logsigmoid",
+    "where",
+
 ]
diff --git a/src/ntops/kernels/logical_or.py b/src/ntops/kernels/logical_or.py
new file mode 100644
index 0000000..85dc7f0
--- /dev/null
+++ b/src/ntops/kernels/logical_or.py
@@ -0,0 +1,21 @@
+import functools
+
+from ninetoothed import Tensor
+
+from ntops.kernels.element_wise import arrangement
+
+
+def application(input, other, output):
+    output = (input != 0) | (other != 0)  # noqa: F841
+
+
+def premake(ndim, dtype=None, block_size=None):
+    arrangement_ = functools.partial(arrangement, block_size=block_size)
+
+    tensors = (
+        Tensor(ndim, dtype=dtype),
+        Tensor(ndim, dtype=dtype),
+        Tensor(ndim, dtype=dtype),
+    )
+
+    return arrangement_, application, tensors
diff --git a/src/ntops/kernels/logical_xor.py b/src/ntops/kernels/logical_xor.py
new file mode 100644
index 0000000..60095f3
--- /dev/null
+++ b/src/ntops/kernels/logical_xor.py
@@ -0,0 +1,20 @@
+import functools
+
+from ninetoothed import Tensor
+from ntops.kernels.element_wise import arrangement
+
+
+def application(input, other, output):
+    output = (input != 0) ^ (other != 0)  # noqa: F841
+
+
+def premake(ndim, dtype=None, block_size=None):
+    arrangement_ = functools.partial(arrangement, block_size=block_size)
+
+    tensors = (
+        Tensor(ndim, dtype=dtype),
+        Tensor(ndim, dtype=dtype),
+        Tensor(ndim, dtype=dtype),
+    )
+
+    return arrangement_, application, tensors
\ No newline at end of file
diff --git a/src/ntops/kernels/logsigmoid.py b/src/ntops/kernels/logsigmoid.py
new file mode 100644
index 0000000..2239c78
--- /dev/null
+++ b/src/ntops/kernels/logsigmoid.py
@@ -0,0 +1,27 @@
+import functools
+
+import ninetoothed.language as ntl
+from ninetoothed import Tensor
+
+from ntops.kernels.element_wise import arrangement
+
+
+def application(input, output):
+    x = ntl.cast(input, ntl.float32)
+    y = ntl.log(ntl.sigmoid(x))
+
+    # 再 cast 回输出 dtype（保持与输入/torch 行为一致）
+    output = ntl.cast(y, output.dtype)  # noqa: F841
+    # # logsigmoid(x) = log(sigmoid(x))
+    # output = ntl.log(ntl.sigmoid(input))  # noqa: F841
+
+
+def premake(ndim, dtype=None, block_size=None):
+    arrangement_ = functools.partial(arrangement, block_size=block_size)
+
+    tensors = (
+        Tensor(ndim, dtype=dtype),
+        Tensor(ndim, dtype=dtype),
+    )
+
+    return arrangement_, application, tensors
\ No newline at end of file
diff --git a/src/ntops/kernels/where.py b/src/ntops/kernels/where.py
new file mode 100644
index 0000000..3583fdc
--- /dev/null
+++ b/src/ntops/kernels/where.py
@@ -0,0 +1,25 @@
+import functools
+
+import ninetoothed.language as ntl
+from ninetoothed import Tensor
+
+from ntops.kernels.element_wise import arrangement
+
+
+def application(condition, input, other, output):
+    # condition 非 0 当 True，语义对齐 torch.where
+    cond_bool = condition != 0
+    output = ntl.where(cond_bool, input, other)  # noqa: F841
+
+
+def premake(ndim, dtype=None, block_size=None):
+    arrangement_ = functools.partial(arrangement, block_size=block_size)
+
+    tensors = (
+        Tensor(ndim, dtype=dtype),  # condition
+        Tensor(ndim, dtype=dtype),  # input
+        Tensor(ndim, dtype=dtype),  # other
+        Tensor(ndim, dtype=dtype),  # output
+    )
+
+    return arrangement_, application, tensors
\ No newline at end of file
diff --git a/src/ntops/torch/__init__.py b/src/ntops/torch/__init__.py
index 702877e..d11ff8d 100644
--- a/src/ntops/torch/__init__.py
+++ b/src/ntops/torch/__init__.py
@@ -36,6 +36,11 @@
 from ntops.torch.softmax import softmax
 from ntops.torch.sub import sub
 from ntops.torch.tanh import tanh
+from ntops.torch.logical_or import logical_or
+from ntops.torch.logical_xor import logical_xor
+from ntops.torch.logsigmoid import logsigmoid
+from ntops.torch.where import where
+
 
 __all__ = [
     "abs",
@@ -76,4 +81,9 @@
     "softmax",
     "sub",
     "tanh",
+    "logical_or",
+    "logical_xor",
+    "logsigmoid",
+    "where",
+
 ]
diff --git a/src/ntops/torch/logical_or.py b/src/ntops/torch/logical_or.py
new file mode 100644
index 0000000..07b9767
--- /dev/null
+++ b/src/ntops/torch/logical_or.py
@@ -0,0 +1,16 @@
+# src/ntops/torch/logical_or.py
+import torch
+
+import ntops
+from ntops.torch.utils import _cached_make
+
+
+def logical_or(input, other, *, out=None):
+    if out is None:
+        out = torch.empty_like(input, dtype=torch.bool)
+
+    kernel = _cached_make(ntops.kernels.logical_or.premake, input.ndim)
+
+    kernel(input, other, out)
+
+    return out
\ No newline at end of file
diff --git a/src/ntops/torch/logical_xor.py b/src/ntops/torch/logical_xor.py
new file mode 100644
index 0000000..47128b3
--- /dev/null
+++ b/src/ntops/torch/logical_xor.py
@@ -0,0 +1,35 @@
+# import torch
+
+# import ntops
+# from ntops.torch.utils import _cached_make
+
+# def logical_xor(input, other, *, out=None):
+#     if out is None:
+#         out = torch.empty_like(input, dtype=torch.bool)
+
+#     kernel = _cached_make(ntops.kernels.logical_xor.premake, input.ndim)
+#     kernel(input, other, out)
+#     return out
+
+import torch
+
+import ntops
+from ntops.torch.utils import _cached_make
+
+
+def logical_xor(input, other, *, out=None):
+    kernel = _cached_make(ntops.kernels.logical_xor.premake, input.ndim)
+
+    if out is None:
+        out = torch.empty_like(input, dtype=torch.bool)
+        kernel(input, other, out)
+        return out
+
+    if out is input or out is other:
+        tmp = torch.empty_like(out)
+        kernel(input, other, tmp)
+        out.copy_(tmp)
+    else:
+        kernel(input, other, out)
+
+    return out
\ No newline at end of file
diff --git a/src/ntops/torch/logsigmoid.py b/src/ntops/torch/logsigmoid.py
new file mode 100644
index 0000000..8454761
--- /dev/null
+++ b/src/ntops/torch/logsigmoid.py
@@ -0,0 +1,13 @@
+import torch
+
+import ntops
+from ntops.torch.utils import _cached_make
+
+
+def logsigmoid(input, *, out=None):
+    if out is None:
+        out = torch.empty_like(input)
+
+    kernel = _cached_make(ntops.kernels.logsigmoid.premake, input.ndim)
+    kernel(input, out)
+    return out
\ No newline at end of file
diff --git a/src/ntops/torch/vdot.py b/src/ntops/torch/vdot.py
new file mode 100644
index 0000000..5fbb140
--- /dev/null
+++ b/src/ntops/torch/vdot.py
@@ -0,0 +1,22 @@
+import torch
+
+import ntops
+from ntops.torch.utils import _cached_make
+
+
+def vdot(input, other, *, out=None):
+    assert input.ndim == 1 and other.ndim == 1
+    assert input.shape[0] == other.shape[0]
+
+    if out is None:
+        out = torch.empty((), dtype=input.dtype, device=input.device)
+
+    # 创建一个临时的 1D tensor 作为 accumulator
+    accumulator = torch.empty((1,), dtype=input.dtype, device=input.device)
+    
+    kernel = _cached_make(ntops.kernels.vdot.premake, input.ndim)
+    kernel(input, other, accumulator)
+    
+    # 从 accumulator 提取标量值
+    out.copy_(accumulator[0])
+    return out
\ No newline at end of file
diff --git a/src/ntops/torch/where.py b/src/ntops/torch/where.py
new file mode 100644
index 0000000..762c817
--- /dev/null
+++ b/src/ntops/torch/where.py
@@ -0,0 +1,14 @@
+import torch
+
+import ntops
+from ntops.torch.utils import _cached_make
+
+
+def where(condition, input, other, *, out=None):
+    if out is None:
+        out = torch.empty_like(input)
+
+    # 这里假设 input/other/out dtype 一致
+    kernel = _cached_make(ntops.kernels.where.premake, input.ndim)
+    kernel(condition, input, other, out)
+    return out
\ No newline at end of file