# Vector generation Populate vectors with ramps, values from lookup tables, interpolated values, and window functions. ## Topics ### Vector generation with ramps using an initial value and increment [`ramp(withInitialValue:increment:count:)`](/documentation/Accelerate/vDSP/ramp(withInitialValue:increment:count:)-mjsa) Returns a single-precision vector that contains monotonically incrementing or decrementing values using an initial value and increment. [`ramp(withInitialValue:increment:count:)`](/documentation/Accelerate/vDSP/ramp(withInitialValue:increment:count:)-3cast) Returns a double-precision vector that contains monotonically incrementing or decrementing values using an initial value and increment. [`formRamp(withInitialValue:increment:result:)`](/documentation/Accelerate/vDSP/formRamp(withInitialValue:increment:result:)-40zxg) Populates a single-precision vector with monotonically incrementing or decrementing values using an initial value and increment. [`formRamp(withInitialValue:increment:result:)`](/documentation/Accelerate/vDSP/formRamp(withInitialValue:increment:result:)-4ibjw) Populates a double-precision vector with monotonically incrementing or decrementing values using an initial value and increment. [`vDSP_vramp`](/documentation/Accelerate/vDSP_vramp) Generates a single-precision vector with monotonically incrementing or decrementing values using an initial value and increment. [`vDSP_vrampD`](/documentation/Accelerate/vDSP_vrampD) Generates a double-precision vector with monotonically incrementing or decrementing values using an initial value and increment. ### Vector generation with ramps using a range [`ramp(in:count:)`](/documentation/Accelerate/vDSP/ramp(in:count:)-79aw7) Returns a double-precision vector that contains monotonically incrementing or decrementing values within a range. [`ramp(in:count:)`](/documentation/Accelerate/vDSP/ramp(in:count:)-744b4) Returns a single-precision vector that contains monotonically incrementing or decrementing values within a range. [`formRamp(in:result:)`](/documentation/Accelerate/vDSP/formRamp(in:result:)-8lsid) Populates a double-precision vector with monotonically incrementing or decrementing values within a range. [`formRamp(in:result:)`](/documentation/Accelerate/vDSP/formRamp(in:result:)-6ef26) Populates a single-precision vector with monotonically incrementing or decrementing values within a range. [`vDSP_vgen`](/documentation/Accelerate/vDSP_vgen) Generates a single-precision vector that contains monotonically incrementing or decrementing values within a range. [`vDSP_vgenD`](/documentation/Accelerate/vDSP_vgenD) Generates a double-precision vector that contains monotonically incrementing or decrementing values within a range. ### Vector generation with ramps and multiplication by a second vector [`ramp(withInitialValue:multiplyingBy:increment:)`](/documentation/Accelerate/vDSP/ramp(withInitialValue:multiplyingBy:increment:)-6b5re) Returns a single-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`ramp(withInitialValue:multiplyingBy:increment:)`](/documentation/Accelerate/vDSP/ramp(withInitialValue:multiplyingBy:increment:)-1s3c9) Returns a double-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`formRamp(withInitialValue:multiplyingBy:increment:result:)`](/documentation/Accelerate/vDSP/formRamp(withInitialValue:multiplyingBy:increment:result:)-4r0kz) Populates a single-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`formRamp(withInitialValue:multiplyingBy:increment:result:)`](/documentation/Accelerate/vDSP/formRamp(withInitialValue:multiplyingBy:increment:result:)-p7s4) Populates a double-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmul`](/documentation/Accelerate/vDSP_vrampmul) Generates a single-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmulD`](/documentation/Accelerate/vDSP_vrampmulD) Generates a double-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmul_s1_15`](/documentation/Accelerate/vDSP_vrampmul_s1_15) Generates a fixed-point 1.15 format vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmul_s8_24`](/documentation/Accelerate/vDSP_vrampmul_s8_24) Generates a fixed-point 8.24 format vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. ### Vector addition with ramps and multiplication by a second vector [`vDSP_vrampmuladd`](/documentation/Accelerate/vDSP_vrampmuladd) Adds a single-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmuladdD`](/documentation/Accelerate/vDSP_vrampmuladdD) Adds a double-precision vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmuladd_s1_15`](/documentation/Accelerate/vDSP_vrampmuladd_s1_15) Adds a fixed-point 1.15 format vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. [`vDSP_vrampmuladd_s8_24`](/documentation/Accelerate/vDSP_vrampmuladd_s8_24) Adds a fixed-point 8.24 format vector that contains monotonically incrementing or decrementing values, and multiplies that vector by a source vector. ### Vector generation by extrapolation and interpolation [`linearInterpolate(values:atIndices:)`](/documentation/Accelerate/vDSP/linearInterpolate(values:atIndices:)-5mbnu) Returns the single-precision linearly interpolated values of a vector at the specified indices. [`linearInterpolate(values:atIndices:)`](/documentation/Accelerate/vDSP/linearInterpolate(values:atIndices:)-9rxb4) Returns the double-precision linearly interpolated values of a vector at the specified indices. [`linearInterpolate(values:atIndices:result:)`](/documentation/Accelerate/vDSP/linearInterpolate(values:atIndices:result:)-7nre0) Computes the double-precision linearly interpolated values of a vector at the specified indices. [`linearInterpolate(values:atIndices:result:)`](/documentation/Accelerate/vDSP/linearInterpolate(values:atIndices:result:)-6i7sl) Computes the single-precision linearly interpolated values of a vector at the specified indices. [`vDSP_vgenp`](/documentation/Accelerate/vDSP_vgenp) Generates the single-precision linearly interpolated values of a vector at the specified indices. [`vDSP_vgenpD`](/documentation/Accelerate/vDSP_vgenpD) Generates the double-precision linearly interpolated values of a vector at the specified indices. ### Vector generation with lookup tables [`linearInterpolate(lookupTable:withOffsets:scale:baseOffset:)`](/documentation/Accelerate/vDSP/linearInterpolate(lookupTable:withOffsets:scale:baseOffset:)-1ye2o) Returns the double-precision linearly interpolated values of a lookup table from the specified offsets. [`linearInterpolate(lookupTable:withOffsets:scale:baseOffset:)`](/documentation/Accelerate/vDSP/linearInterpolate(lookupTable:withOffsets:scale:baseOffset:)-3nw6t) Returns the single-precision linearly interpolated values of a lookup table from the specified offsets. [`linearInterpolate(lookupTable:withOffsets:scale:baseOffset:result:)`](/documentation/Accelerate/vDSP/linearInterpolate(lookupTable:withOffsets:scale:baseOffset:result:)-9l3uy) Computes the double-precision linearly interpolated values of a lookup table from the specified offsets. [`linearInterpolate(lookupTable:withOffsets:scale:baseOffset:result:)`](/documentation/Accelerate/vDSP/linearInterpolate(lookupTable:withOffsets:scale:baseOffset:result:)-4ownc) Computes the single-precision linearly interpolated values of a lookup table from the specified offsets. [`vDSP_vtabi`](/documentation/Accelerate/vDSP_vtabi) Generates a single-precision vector by interpolating values from a lookup table. [`vDSP_vtabiD`](/documentation/Accelerate/vDSP_vtabiD) Generates a double-precision vector by interpolating values from a lookup table. ### Vector generation with window functions [`window(ofType:usingSequence:count:isHalfWindow:)`](/documentation/Accelerate/vDSP/window(ofType:usingSequence:count:isHalfWindow:)) Returns an array that contains the specified window. [`formWindow(usingSequence:result:isHalfWindow:)`](/documentation/Accelerate/vDSP/formWindow(usingSequence:result:isHalfWindow:)-6cmve) Populates a double-precision vector with a specified window. [`formWindow(usingSequence:result:isHalfWindow:)`](/documentation/Accelerate/vDSP/formWindow(usingSequence:result:isHalfWindow:)-9dls5) Populates a single-precision vector with a specified window. [`vDSP.WindowSequence`](/documentation/Accelerate/vDSP/WindowSequence) Constants that specify window sequence functions. [`vDSP_blkman_window`](/documentation/Accelerate/vDSP_blkman_window) Creates a single-precision Blackman window. [`vDSP_blkman_windowD`](/documentation/Accelerate/vDSP_blkman_windowD) Creates a double-precision Blackman window. [`vDSP_hamm_window`](/documentation/Accelerate/vDSP_hamm_window) Creates a single-precision Hamming window. [`vDSP_hamm_windowD`](/documentation/Accelerate/vDSP_hamm_windowD) Creates a double-precision Hamming window. [`vDSP_hann_window`](/documentation/Accelerate/vDSP_hann_window) Creates a single-precision Hann window. [`vDSP_hann_windowD`](/documentation/Accelerate/vDSP_hann_windowD) Creates a double-precision Hann window. [`vDSP_HALF_WINDOW`](/documentation/Accelerate/vDSP_HALF_WINDOW) Specifies that the window should only contain the bottom half of the values (`0` to `(N+1)/2`). [`vDSP_HANN_DENORM`](/documentation/Accelerate/vDSP_HANN_DENORM) Specifies a denormalized Hann window. [`vDSP_HANN_NORM`](/documentation/Accelerate/vDSP_HANN_NORM) Specifies a normalized Hann window ### Stereo ramp generation [`stereoRamp(withInitialValue:multiplyingBy:_:increment:)`](/documentation/Accelerate/vDSP/stereoRamp(withInitialValue:multiplyingBy:_:increment:)-5utuo) Returns two double-precision vectors that contain stereo monotonically incrementing or decrementing values multiplied by two source vectors. [`stereoRamp(withInitialValue:multiplyingBy:_:increment:)`](/documentation/Accelerate/vDSP/stereoRamp(withInitialValue:multiplyingBy:_:increment:)-18f8z) Returns two single-precision vectors that contain stereo monotonically incrementing or decrementing values multiplied by two source vectors. [`formStereoRamp(withInitialValue:multiplyingBy:_:increment:results:_:)`](/documentation/Accelerate/vDSP/formStereoRamp(withInitialValue:multiplyingBy:_:increment:results:_:)-99lyb) Populates two single-precision vectors that contain stereo monotonically incrementing or decrementing values multiplied by two source vectors. [`formStereoRamp(withInitialValue:multiplyingBy:_:increment:results:_:)`](/documentation/Accelerate/vDSP/formStereoRamp(withInitialValue:multiplyingBy:_:increment:results:_:)-9be28) Populates two single-precision vectors that contain stereo monotonically incrementing or decrementing values multiplied by two source vectors. [`vDSP_vrampmul2`](/documentation/Accelerate/vDSP_vrampmul2) Generates a single-precision, stereo ramped vector and multiplies that vector by an input vector. [`vDSP_vrampmul2D`](/documentation/Accelerate/vDSP_vrampmul2D) Generates a double-precision, stereo ramped vector and multiplies that vector by an input vector. [`vDSP_vrampmul2_s1_15`](/documentation/Accelerate/vDSP_vrampmul2_s1_15) Generates a fixed-point, 1.15 format, stereo ramped vector and multiplies that vector by an input vector. [`vDSP_vrampmul2_s8_24`](/documentation/Accelerate/vDSP_vrampmul2_s8_24) Generates a fixed-point, 8.24 format, stereo ramped vector and multiplies that vector by an input vector. [`vDSP_vrampmuladd2`](/documentation/Accelerate/vDSP_vrampmuladd2) Multiplies a single-precision, stereo input vector by a value that ramps up on successive calls, and cumulatively adds the result to the output vector. [`vDSP_vrampmuladd2D`](/documentation/Accelerate/vDSP_vrampmuladd2D) Multiplies a double-precision, stereo input vector by a value that ramps up on successive calls, and cumulatively adds the result to the output vector. [`vDSP_vrampmuladd2_s1_15`](/documentation/Accelerate/vDSP_vrampmuladd2_s1_15) Multiplies a fixed-point, 1.15 format, stereo input vector by a value that ramps on successive calls, and adds the result to the output vector. [`vDSP_vrampmuladd2_s8_24`](/documentation/Accelerate/vDSP_vrampmuladd2_s8_24) Multiplies a fixed-point, 8.24 format, stereo input vector by a value that ramps on successive calls, and adds the result to the output vector. --- 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)