---
title: "evaluatePolynomial(usingCoefficients:withVariables:)"
framework: accelerate
role: symbol
role_heading: Type Method
path: "accelerate/vdsp/evaluatepolynomial(usingcoefficients:withvariables:)-31vi2"
---

# evaluatePolynomial(usingCoefficients:withVariables:)

Returns a double-precision evaluated polynomial using specified coefficients and variables.

## Declaration

```swift
static func evaluatePolynomial<U>(usingCoefficients coefficients: [Double], withVariables variables: U) -> [Double] where U : AccelerateBuffer, U.Element == Double
```

## Parameters

- `coefficients`: An array that contains the coefficients.
- `variables`: An array that contains the independent variables.

## Mentioned in

Finding an interpolating polynomial using the Vandermonde method

## Discussion

Discussion For example, the following code evaluates the polynomial with the coefficients [10.0, 20.0, 30.0] and the variables [7.0, 5.0]:     let coefficients: [Double] = [10, 20, 30]     let variables: [Double] = [7, 5]          let result = vDSP.evaluatePolynomial(usingCoefficients: coefficients,                                          withVariables: variables)          // Prints "[660.0, 380.0]".     //    result[0] = (10 * 7²) + (20 * 7¹) + (30 * 7⁰) = 660     //    result[1] = (10 * 5²) + (20 * 5¹) + (30 * 5⁰) = 380     print(result)

## See Also

### Related Documentation

- [vDSP_vpoly](accelerate/vdsp_vpoly.md)

### Double-precision polynomial evaluation

- [evaluatePolynomial(usingCoefficients:withVariables:result:)](accelerate/vdsp/evaluatepolynomial(usingcoefficients:withvariables:result:)-2ncdh.md)