SPLINE - Interpolation and Approximation of Data

SPLINE includes some simple routines for setting up and evaluating interpolating and approximating splines.

SPLINE is a C version of a subset of the FORTRAN SPLINE collection.

Files you may copy include:

• spline.c, the source code;
• spline.h, the include file;
• spline_prb.c, the calling program;
• spline_prb.out, the sample output.

The list of routines includes:

• PARABOLA_VAL2 evaluates a parabolic function through 3 points in a table.
• RVEC_BRACKET searches a sorted array for successive brackets of a value.
• RVEC_BRACKET3 finds the interval containing or nearest a given value.
• RVEC_ORDER_TYPE determines if an array is (non)strictly ascending/descending.
• S3_FS factors and solves a tridiagonal linear system.
• SETDIF sets up a divided difference table from raw data.
• SPLINE_B_VAL evaluates a cubic B spline approximant.
• SPLINE_BETA_VAL evaluates a cubic beta spline approximant.
• SPLINE_CUBIC_SET computes the second derivatives of a cubic spline.
• SPLINE_CUBIC_VAL evaluates a cubic spline at a specific point.
• SPLINE_CUBIC_VAL2 evaluates a cubic spline at a specific point.
• SPLINE_HERMITE_SET sets up a piecewise cubic Hermite interpolant.
• SPLINE_HERMITE_VAL evaluates a piecewise cubic Hermite interpolant.
• SPLINE_LINEAR_VAL evaluates a linear spline at a specific point.
• SPLINE_OVERHAUSER_VAL evaluates an Overhauser spline.
• VALDIF evaluates a divided difference polynomial at a point.

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