# evaluatePolynomial(usingCoefficients:withVariables:) Returns a double-precision evaluated polynomial using specified coefficients and variables. ``` static func evaluatePolynomial(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. ## 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]`: ```swift 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 [`extern void vDSP_vpoly(const float *__A, vDSP_Stride __IA, const float *__B, vDSP_Stride __IB, float *__C, vDSP_Stride __IC, vDSP_Length __N, vDSP_Length __P);`](/documentation/Accelerate/vDSP_vpoly) Evaluates a single-precision polynomial using specified coefficients, variables, and strides. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)