# What does a CORDIC do?

## What does a CORDIC do?

CORDIC (coordinate rotation digital computer) is a hardware-efficient iterative method which uses rotations to calculate a wide range of elementary functions. This article reviews the basics of this algorithm and later demonstrates how we can use CORDIC to calculate the sine and cosine of a given angle.

## What is CORDIC force?

A CORDIC (standing for COordinate Rotation DIgital Computer) circuit serves to compute several common mathematical functions, such as trigonometric, hyperbolic, logarithmic and exponential functions.

What is CORDIC architecture?

CORDIC is an acronym for COordinate Rotation Digital Computer. It is a hardware-efficient, shift and add algorithm that is used in various digital signal processing applications for computing trigonometric, logarithmic, hyperbolic and other linear and transcendental functions.

### How does a calculator calculate sine?

A calculator or computer program is not reading off of a list, but is using an algorithm that gives an approximate value for the sine of a given angle. For example, to find out sine 23, first convert 23 to radians by dividing it by 180 and then multiplying by π.

### What does CORDIC stand for?

CORDIC

Acronym Definition
CORDIC Coordinate Rotation Digital Computer

How are trig functions implemented?

Trig functions are usually implemented using CORDIC . An alternative, or more correctly – a complementary solution that can be used in conjuction with CORDIC are Taylor expansions or Chebyshev polynomials, which are useful in estimating functions up to a desired accuracy.

#### How do you use CORDIC?

The basic idea behind the CORDIC algorithm is that we can string many of these rotation matrices together–either rotating by a positive theta_k or a negative theta_k in each matrix. As an example, suppose you rotated [1, 0] by +26.57 degrees (k=1), then by 14.03 degrees (k=2), then backwards by 7.12 degrees (k=3).

#### Can you use Cortic DS for thrush?

Do not use CORTIC-DS if you have: A fungal skin infection (such as thrush, tinea or ringworm)

How to implement sine and cosine functions using the CORDIC algorithm?

When using the CORDIC algorithm to implement sine and cosine functions, we have a phase input, PHASE_IN which is an angle, and two outputs, X_OUT and Y_OUT, which give the cosine and sine of PHASE_IN, respectively. These input/outputs are shown in the core symbol above.

## How to use Xilinx logicore IP CORDIC to calculate sine and cosine?

In this article, we’ll add the Xilinx LogiCORE IP CORDIC v4.0 to an ISE design and use it to calculate the sine and cosine of a given angle. To add a core to your ISE project, click on “New Source” under the “Project” tab and choose “IP (CORE Generator & Architecture Wizard)” as shown in Figure 1.

## What is the CORDIC rotation matrix?

The CORDIC approach is to replace the cosine portion of this rotation matrix with a 1 , and the sine portion with a 2^-k. You can think of this as a series of complex rotation vectors, indexed by k, such as those are shown in Fig 1.

Can CORDIC be implemented in modern CPUs?

As most modern general-purpose CPUs have floating-point registers with common operations such as add, subtract, multiply, divide, sine, cosine, square root, log 10, natural log, the need to implement CORDIC in them with software is nearly non-existent.

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