# ConvInteger#

## ConvInteger - 10#

**Version**

**name**: ConvInteger (GitHub)**domain**:**main****since_version**:**10****function**: False**support_level**: SupportType.COMMON**shape inference**: True

This version of the operator has been available
**since version 10**.

**Summary**

The integer convolution operator consumes an input tensor, its zero-point, a filter, and its zero-point, and computes the output. The production MUST never overflow. The accumulation may overflow if and only if in 32 bits.

**Attributes**

**auto_pad**: auto_pad must be either NOTSET, SAME_UPPER, SAME_LOWER or VALID. Where default value is NOTSET, which means explicit padding is used. SAME_UPPER or SAME_LOWER mean pad the input so that output_shape[i] = ceil(input_shape[i] / strides[i]) for each axis i. The padding is split between the two sides equally or almost equally (depending on whether it is even or odd). In case the padding is an odd number, the extra padding is added at the end for SAME_UPPER and at the beginning for SAME_LOWER. Default value is`'NOTSET'`

.**dilations**: dilation value along each spatial axis of the filter. If not present, the dilation defaults to 1 along each axis.**group**: number of groups input channels and output channels are divided into. default is 1. Default value is`1`

.**kernel_shape**: The shape of the convolution kernel. If not present, should be inferred from input ‘w’.**pads**: Padding for the beginning and ending along each spatial axis, it can take any value greater than or equal to 0.The value represent the number of pixels added to the beginning and end part of the corresponding axis.`pads` format should be as follow [x1_begin, x2_begin…x1_end, x2_end,…], where xi_begin the number ofpixels added at the beginning of axis i and xi_end, the number of pixels added at the end of axis i.This attribute cannot be used simultaneously with auto_pad attribute. If not present, the padding defaultsto 0 along start and end of each spatial axis.**strides**: Stride along each spatial axis. If not present, the stride defaults to 1 along each axis.

**Inputs**

Between 2 and 4 inputs.

**x**(heterogeneous) -**T1**: Input data tensor from previous layer; has size (N x C x H x W), where N is the batch size, C is the number of channels, and H and W are the height and width. Note that this is for the 2D image. Otherwise the size is (N x C x D1 x D2 … x Dn). Optionally, if dimension denotation is in effect, the operation expects input data tensor to arrive with the dimension denotation of [DATA_BATCH, DATA_CHANNEL, DATA_FEATURE, DATA_FEATURE …].**w**(heterogeneous) -**T2**: The weight tensor that will be used in the convolutions; has size (M x C/group x kH x kW), where C is the number of channels, and kH and kW are the height and width of the kernel, and M is the number of feature maps. For more than 2 dimensions, the kernel shape will be (M x C/group x k1 x k2 x … x kn), where (k1 x k2 x … kn) is the dimension of the kernel. Optionally, if dimension denotation is in effect, the operation expects the weight tensor to arrive with the dimension denotation of [FILTER_OUT_CHANNEL, FILTER_IN_CHANNEL, FILTER_SPATIAL, FILTER_SPATIAL …]. X.shape[1] == (W.shape[1] * group) == C (assuming zero based indices for the shape array). Or in other words FILTER_IN_CHANNEL should be equal to DATA_CHANNEL.**x_zero_point**(optional, heterogeneous) -**T1**: Zero point tensor for input ‘x’. It’s optional and default value is 0. It’s a scalar, which means a per-tensor/layer quantization.**w_zero_point**(optional, heterogeneous) -**T2**: Zero point tensor for input ‘w’. It’s optional and default value is 0. It could be a scalar or a 1-D tensor, which means a per- tensor/layer or per output channel quantization. If it’s a 1-D tensor, its number of elements should be equal to the number of output channels (M)

**Outputs**

**y**(heterogeneous) -**T3**: Output data tensor that contains the result of the convolution. The output dimensions are functions of the kernel size, stride size, and pad lengths.

**Type Constraints**

**T1**in ( tensor(int8), tensor(uint8) ): Constrain input x and its zero point data type to 8-bit integer tensor.**T2**in ( tensor(int8), tensor(uint8) ): Constrain input w and its zero point data type to 8-bit integer tensor.**T3**in ( tensor(int32) ): Constrain output y data type to 32-bit integer tensor.

**Examples**

**_without_padding**

```
x = (
np.array([2, 3, 4, 5, 6, 7, 8, 9, 10])
.astype(np.uint8)
.reshape((1, 1, 3, 3))
)
x_zero_point = np.uint8(1)
w = np.array([1, 1, 1, 1]).astype(np.uint8).reshape((1, 1, 2, 2))
y = np.array([12, 16, 24, 28]).astype(np.int32).reshape(1, 1, 2, 2)
# ConvInteger without padding
convinteger_node = onnx.helper.make_node(
"ConvInteger", inputs=["x", "w", "x_zero_point"], outputs=["y"]
)
expect(
convinteger_node,
inputs=[x, w, x_zero_point],
outputs=[y],
name="test_convinteger_without_padding",
)
```

**_with_padding**

```
x = (
np.array([2, 3, 4, 5, 6, 7, 8, 9, 10])
.astype(np.uint8)
.reshape((1, 1, 3, 3))
)
x_zero_point = np.uint8(1)
w = np.array([1, 1, 1, 1]).astype(np.uint8).reshape((1, 1, 2, 2))
y = (
np.array([1, 3, 5, 3, 5, 12, 16, 9, 11, 24, 28, 15, 7, 15, 17, 9])
.astype(np.int32)
.reshape((1, 1, 4, 4))
)
# ConvInteger with padding
convinteger_node_with_padding = onnx.helper.make_node(
"ConvInteger",
inputs=["x", "w", "x_zero_point"],
outputs=["y"],
pads=[1, 1, 1, 1],
)
expect(
convinteger_node_with_padding,
inputs=[x, w, x_zero_point],
outputs=[y],
name="test_convinteger_with_padding",
)
```