## interp1d

One-dimensional numerical interpolation.

## TOC »

## Usage

(require-extension interp1d)

## Documentation

The `interp1d` library provides routines for linear and piecewise quadratic interpolation, as well as a facility for "sliding window" interpolation over a long, or possibly infinite, sequence of data.

### Procedures

`interp1d:nearest:`procedureInterpolates function

`y=f(x)`at the point`x`using the data point nearest to`x`. Arguments`XDATA`and`YDATA`are lists of numeric values that correspond to sample points of the function being interpolated. Argument`X`must be within the range of values contained in`XDATA`.

`interp1d:linear:`procedureInterpolates function

`y=f(x)`at the point`x`using the linear interpolation method. Arguments`XDATA`and`YDATA`are lists of numeric values that correspond to sample points of the function being interpolated. Argument`X`must be within the range of values contained in`XDATA`.

`interp1d:piecewise-quadratic:`procedureInterpolates function

`y=f(x)`at the point`x`using the piecewise quadratic interpolation method. Arguments`XDATA`and`YDATA`are lists of numeric values that corresponds to sample points of the function being interpolated. Argument`X`must be within the range of values contained in`XDATA`.

`interp1d:from-sequence:`procedureConstructs a sliding window interpolation procedure, for a given sequence

`YDATA`that contains uniformly sampled values of a function`y = f(x)`, where`X`has an initial value of`START`(default 0) and is incremented by`STEP`amount. The returned procedure performs interpolation using the given`METHOD`procedure, while the window is shifted forwards by the appropriate amount if`X`is outside the current window range. Backward shifting is not supported.Argument

`METHOD`is one of the interpolation procedures above.Optional argument

`START`specifies the initial (smallest)`X`and defaults to 0.Optional arguments

`CAR`,`CDR`,`NULL?`are used to access`YDATA`and default to the standard list procedures. If the input sequence is not a list (e.g. an SRFI-40 stream), these arguments can be used to specify the appropriate accessors and predicates.Optional arguments

`DELTA-WINDOW-LEN`and`MAX-WINDOW-LEN`specify the window increment (default 4) and maximum window size (default 128).

`interp1d:lbound:`procedureReturns the value of the data point nearest to

`X`that does not exceed the value of`X`.

`interp1d:ubound:`procedureReturns the value of the data point nearest to

`X`that is larger than`X`.

## Examples

## About this egg

### Author

### Version history

- 1.12
- Eliminated dependency on easyffi
- 1.11
- Documentation converted to wiki format
- 1.10
- Ported to Chicken 4
- 1.9
- Removed testeez as a dependency
- 1.8
- Added lbound and ubound routines
- 1.7
- Added nearest interpolation method
- 1.6
- Bug fix in bounds routine
- 1.5
- Bug fix in the sliding window routine for the case of non-list input data
- 1.4
- Added a proper error message routine
- 1.3
- Added a boundary exceeded error message to the sliding window routine
- 1.2
- Build script updated for better cross-platform compatibility
- 1.1
- Documentation updates
- 1.0
- Initial release

### License

Copyright 2007-2012 Ivan Raikov and the Okinawa Institute of Science and Technology This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. A full copy of the GPL license can be found at <http://www.gnu.org/licenses/>.