# Quantize¶

Quantize // Maps real input to quantized output


## Description¶

Produces a tensor of element type type and the same shape as input where the value of each coordinate $$i$$ of output is the corresponding coordinate of input divided by scale rounded as specified by round_mode plus zero_point. The coordinate $$j$$ of scale and zero_point is the coordinate of output projected onto axes.

### Inputs¶

Name Element Type Shape
input Any real type Any
scale Same as input input shape projected onto axes
zero_point Same as output input shape projected onto axes

### Attributes¶

Name Description
type output element type; any quantized type
axes Axis positions on which scale and zero_point are specified
round_mode

ROUND_NEAREST_TOWARD_INFINITY: round to nearest integer in case of two equidistant integers round away from zero e.g. 2.5 -> 3 -3.5 -> -4

ROUND_NEAREST_TOWARD_ZERO: round to nearest integer in case of two equidistant integers round toward zero e.g. 2.5 -> 2 -3.5 to -3

ROUND_NEAREST_UPWARD: round to nearest integer in case of two equidistant integers round up e.g. 2.5 to 3 -3.5 to -3

ROUND_NEAREST_DOWNWARD: round to nearest integer in case of two equidistant integers round down e.g. 2.5 to 2 -3.5 to -4

ROUND_NEAREST_TOWARD_EVEN: round to nearest integer in case of two equidistant integers round to even e.g. 2.5 to 2 -3.5 to -4

ROUND_TOWARD_INFINITY: round to nearest integer away from zero

ROUND_TOWARD_ZERO: round to nearest integer toward zero

ROUND_UP: round to nearest integer toward infinity (ceiling)

ROUND_DOWN: round to nearest integer toward negative infinity (floor)

### Outputs¶

Name Element Type Shape
output type Same as input

## Mathematical Definition¶

$\mathtt{output}_{i,j} = \mathtt{round}\left(\frac{\mathtt{input}_{i,j}}{\mathtt{scale}_{j}}\right) + \mathtt{zero_point}_{j}$

## C++ Interface¶

class Quantize : public ngraph::op::Op

Quantize operation Maps real input (r) to quantized output (q) using scale (s), zero point (z) and round mode: q = ROUND(r / s) + o.

Public Functions

const NodeTypeInfo &get_type_info() const

Returns the NodeTypeInfo for the node’s class. During transition to type_info, returns a dummy type_info for Node if the class has not been updated yet.

Quantize(const Output<Node> &input, const Output<Node> &scale, const Output<Node> &zero_point, const ngraph::element::Type &type, const ngraph::AxisSet &axes, RoundMode round_mode)

Constructs a Quantize operation.

Parameters
• input: real input
• scale: scale used for mapping
• zero_point: zero point used for mapping
• type: output element type
• axes: axis positions on which scale and zero_point are specified
• round_mode: describes how to perform ROUND function (see above)

void validate_and_infer_types()

Throws if the node is invalid.