This commit is contained in:
Thomas Baruchel 2022-10-04 17:04:26 +02:00
parent dab88dbdba
commit 1eb8a49890
2 changed files with 35 additions and 4 deletions

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@ -25,8 +25,9 @@
; load("carleman.lisp")$
; * with compilation (must be compiled only once):
; :lisp (compile-file "carleman.lisp");
; look for the compiled file like "convolution.o" and from now on:
; load("carleman.o")$
; look for the compiled file like "convolution.o" or "carleman.fasl"
; and from now on:
; load("carleman.fasl")$
; Compute the Carleman matrix for series whose coefficients are in v.
; Return a list of lists.

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@ -1,11 +1,41 @@
; Copyright (c) 2022 Thomas Baruchel
;
; Permission is hereby granted, free of charge, to any person obtaining a copy
; of this software and associated documentation files (the "Software"), to deal
; in the Software without restriction, including without limitation the rights
; to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
; copies of the Software, and to permit persons to whom the Software is
; furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
; OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
; SOFTWARE.
;
; Installation
; ------------
; The functions can be used with or without compilation:
; * without compilation:
; load("thiele.lisp")$
; * with compilation (must be compiled only once):
; :lisp (compile-file "thiele.lisp");
; look for the compiled file like "thiele.o" or "thiele.fasl"
; and from now on:
; load("thiele.fasl")$
; Thiele's interpolation formula
; ==============================
(defun $thiele (u v)
(loop for rh on
(loop for w on (cdr u) ; we build rho with axes transposed
; first, building column 1 and 2
(loop for w on (cdr u) ; we build rho with axes transposed (and reversed)
; first, building column 2 and 1
for r = (list
(loop for a on u
for b on v