32v 1m spline - Revision history

Neozeed: /* DESCRIPTION */

2009-10-26T19:48:43Z

‎DESCRIPTION

Neozeed at 19:48, 26 October 2009

2009-10-26T19:48:28Z

Neozeed: New page: SPLINE(1G) UNIX Programmer's Manual SPLINE(1G) == NAME == spline - interpolate smooth curve == SYNOPSIS == spline [ option ] ... == DESCRIPTION == _S...

2009-10-26T15:55:36Z

New page: SPLINE(1G) UNIX Programmer's Manual SPLINE(1G) == NAME == spline - interpolate smooth curve == SYNOPSIS == spline [ option ] ... == DESCRIPTION == _S...

New page

SPLINE(1G) UNIX Programmer's Manual SPLINE(1G)

== NAME ==
spline - interpolate smooth curve

== SYNOPSIS ==
spline [ option ] ...

== DESCRIPTION ==
_S_p_l_i_n_e takes pairs of numbers from the standard input as
abcissas and ordinates of a function. It produces a similar
set, which is approximately equally spaced and includes the
input set, on the standard output. The cubic spline output
(R. W. Hamming, _N_u_m_e_r_i_c_a_l _M_e_t_h_o_d_s _f_o_r _S_c_i_e_n_t_i_s_t_s _a_n_d
_E_n_g_i_n_e_e_r_s, 2nd ed., 349ff) has two continuous derivatives,
and sufficiently many points to look smooth when plotted,
for example by _g_r_a_p_h(1).

The following options are recognized, each as a separate
argument.

-a Supply abscissas automatically (they are missing from
the input); spacing is given by the next argument, or
is assumed to be 1 if next argument is not a number.

-k The constant _k used in the boundary value computation

(2nd deriv. at end) = k*(2nd deriv. next to end)

is set by the next argument. By default _k = 0.

-n Space output points so that approximately _n intervals
occur between the lower and upper _x limits. (Default _n
= 100.)

-p Make output periodic, i.e. match derivatives at ends.
First and last input values should normally agree.

-x Next 1 (or 2) arguments are lower (and upper) _x limits.
Normally these limits are calculated from the data.
Automatic abcissas start at lower limit (default 0).

== SEE ALSO ==
[[32v 1m graph|graph(1)]]

== DIAGNOSTICS ==
When data is not strictly monotone in _x, _s_p_l_i_n_e reproduces
the input without interpolating extra points.

== BUGS ==
A limit of 1000 input points is enforced silently.

[[Category:32v man section 1]]

@@ Line 18: / Line 18: @@
 -k   The constant '''k''' used in the boundary value computation (2nd deriv. at end) = k*(2nd deriv. next to end) is set by the next argument.  By default '''k''' = 0.
--n   Space output points so that approximately _n intervals occur between the lower and upper '''x''' limits.  (Default '''n''' = 100.)
+-n   Space output points so that approximately '''n''' intervals occur between the lower and upper '''x''' limits.  (Default '''n''' = 100.)
 -p   Make output periodic, i.e. match derivatives at ends. First and last input values should normally agree.

@@ Line 4: / Line 4: @@
 == NAME ==
-     spline - interpolate smooth curve
+spline - interpolate smooth curve
 == SYNOPSIS ==
-     spline [ option ] ...
+spline [ option ] ...
 == DESCRIPTION ==
-     _S_p_l_i_n_e takes pairs of numbers from the standard input as
+'''Spline''' takes pairs of numbers from the standard input as abcissas and ordinates of a function.  It produces a similar set, which is approximately equally spaced and includes the input set, on the standard output.  The cubic spline output (R. W. Hamming, '''Numerical Methods for Scientists and Engineers''', 2nd ed., 349ff) has two continuous derivatives, and sufficiently many points to look smooth when plotted, for example by '''graph'''(1).
-     The following options are recognized, each as a separate
+The following options are recognized, each as a separate argument.
-     -a   Supply abscissas automatically (they are missing from
+-a   Supply abscissas automatically (they are missing from the input); spacing is given by the next argument, or is assumed to be 1 if next argument is not a number.
-     -k   The constant _k used in the boundary value computation
+-k   The constant '''k''' used in the boundary value computation (2nd deriv. at end) = k*(2nd deriv. next to end) is set by the next argument.  By default '''k''' = 0.
-             (2nd deriv. at end) = k*(2nd deriv. next to end)
+-p   Make output periodic, i.e. match derivatives at ends. First and last input values should normally agree.
+-x   Next 1 (or 2) arguments are lower (and upper) '''x''' limits. Normally these limits are calculated from the data. Automatic abcissas start at lower limit (default 0).
 == SEE ALSO ==
-     [[32v 1m graph|graph(1)]]
+[[32v 1m graph|graph(1)]]
 == DIAGNOSTICS ==
-     When data is not strictly monotone in _x, _s_p_l_i_n_e reproduces
+When data is not strictly monotone in '''x''', '''spline''' reproduces the input without interpolating extra points.
 == BUGS ==
-     A limit of 1000 input points is enforced silently.
+A limit of 1000 input points is enforced silently.
 [[Category:32v man section 1]]