Hướng dẫn dùng atan2 matlab python

Four-quadrant inverse tangent

Syntax

Description

example

P = atan2(Y,X) returns the four-quadrant inverse tangent (tan-1) of Y and X, which must be real. The atan2 function follows the convention that atan2(x,x) returns 0 when x is mathematically zero (either 0 or -0).

Examples

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Find Four-Quadrant Inverse Tangent of a Point

Find the four-quadrant inverse tangent of the point y = 4, x = -3.

Convert Complex Number to Polar Coordinates

Convert 4 + 3i into polar coordinates.

theta = atan2(imag(z),real(z))

The radius r and the angle theta are the polar coordinate representation of 4 + 3i.

Alternatively, use angle to calculate theta.

Convert r and theta back into the original complex number.

Plot Four-Quadrant Inverse Tangent

Plot atan2(Y,X) for -4<Y<4 and -4<X<4.

Define the interval to plot over.

[X,Y] = meshgrid(-4:0.1:4,-4:0.1:4);

Find atan2(Y,X) over the interval.

Use surf to generate a surface plot of the function. Note that plot plots the discontinuity that exists at Y=0 for all X<0.

surf(X,Y,P); view(45,45);

Input Arguments

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Y — y-coordinates scalar | vector | matrix | multidimensional array

y-coordinates, specified as a scalar, vector, matrix, or multidimensional array. Inputs Y and X must either be the same size or have sizes that are compatible (for example, Y is an M-by-N matrix and X is a scalar or 1-by-N row vector). For more information, see Compatible Array Sizes for Basic Operations.

Data Types: single | double

X — x-coordinates scalar | vector | matrix | multidimensional array

x-coordinates, specified as a scalar, vector, matrix, or multidimensional array. Inputs Y and X must either be the same size or have sizes that are compatible (for example, Y is an M-by-N matrix and X is a scalar or 1-by-N row vector). For more information, see Compatible Array Sizes for Basic Operations.

Data Types: single | double

More About

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Four-Quadrant Inverse Tangent

The four-quadrant inverse tangent, atan2(Y,X), returns values in the closed interval [-pi,pi] based on the values of Y and X, as shown in the graphic.

In contrast, atan(Y/X) returns results that are limited to the interval [-pi/2,pi/2], shown on the right side of the diagram.

IEEE Compliance

For real inputs, atan2 has a few behaviors that differ from those recommended in the IEEE®-754 Standard.

Extended Capabilities

Tall Arrays Calculate with arrays that have more rows than fit in memory.

This function fully supports tall arrays. For more information, see Tall Arrays.

C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Thread-Based Environment Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

GPU Arrays Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Distributed Arrays Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

Version History

Introduced before R2006a