aboutsummaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorMasaya Tojo <masaya@tojo.tokyo>2024-08-22 03:34:40 +0900
committerMasaya Tojo <masaya@tojo.tokyo>2024-08-22 03:42:34 +0900
commit274df27f641a0df9b26ac0537119b149fa0ba7d1 (patch)
tree72c9ae48261d3ef916c72e9d949f9f64ee666c30
Initial commit
-rw-r--r--LICENSE202
-rw-r--r--README.md68
-rw-r--r--integer-partition/accel-asc.scm62
3 files changed, 332 insertions, 0 deletions
diff --git a/LICENSE b/LICENSE
new file mode 100644
index 0000000..d645695
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,202 @@
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
+ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+ 1. Definitions.
+
+ "License" shall mean the terms and conditions for use, reproduction,
+ and distribution as defined by Sections 1 through 9 of this document.
+
+ "Licensor" shall mean the copyright owner or entity authorized by
+ the copyright owner that is granting the License.
+
+ "Legal Entity" shall mean the union of the acting entity and all
+ other entities that control, are controlled by, or are under common
+ control with that entity. For the purposes of this definition,
+ "control" means (i) the power, direct or indirect, to cause the
+ direction or management of such entity, whether by contract or
+ otherwise, or (ii) ownership of fifty percent (50%) or more of the
+ outstanding shares, or (iii) beneficial ownership of such entity.
+
+ "You" (or "Your") shall mean an individual or Legal Entity
+ exercising permissions granted by this License.
+
+ "Source" form shall mean the preferred form for making modifications,
+ including but not limited to software source code, documentation
+ source, and configuration files.
+
+ "Object" form shall mean any form resulting from mechanical
+ transformation or translation of a Source form, including but
+ not limited to compiled object code, generated documentation,
+ and conversions to other media types.
+
+ "Work" shall mean the work of authorship, whether in Source or
+ Object form, made available under the License, as indicated by a
+ copyright notice that is included in or attached to the work
+ (an example is provided in the Appendix below).
+
+ "Derivative Works" shall mean any work, whether in Source or Object
+ form, that is based on (or derived from) the Work and for which the
+ editorial revisions, annotations, elaborations, or other modifications
+ represent, as a whole, an original work of authorship. For the purposes
+ of this License, Derivative Works shall not include works that remain
+ separable from, or merely link (or bind by name) to the interfaces of,
+ the Work and Derivative Works thereof.
+
+ "Contribution" shall mean any work of authorship, including
+ the original version of the Work and any modifications or additions
+ to that Work or Derivative Works thereof, that is intentionally
+ submitted to Licensor for inclusion in the Work by the copyright owner
+ or by an individual or Legal Entity authorized to submit on behalf of
+ the copyright owner. For the purposes of this definition, "submitted"
+ means any form of electronic, verbal, or written communication sent
+ to the Licensor or its representatives, including but not limited to
+ communication on electronic mailing lists, source code control systems,
+ and issue tracking systems that are managed by, or on behalf of, the
+ Licensor for the purpose of discussing and improving the Work, but
+ excluding communication that is conspicuously marked or otherwise
+ designated in writing by the copyright owner as "Not a Contribution."
+
+ "Contributor" shall mean Licensor and any individual or Legal Entity
+ on behalf of whom a Contribution has been received by Licensor and
+ subsequently incorporated within the Work.
+
+ 2. Grant of Copyright License. Subject to the terms and conditions of
+ this License, each Contributor hereby grants to You a perpetual,
+ worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+ copyright license to reproduce, prepare Derivative Works of,
+ publicly display, publicly perform, sublicense, and distribute the
+ Work and such Derivative Works in Source or Object form.
+
+ 3. Grant of Patent License. Subject to the terms and conditions of
+ this License, each Contributor hereby grants to You a perpetual,
+ worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+ (except as stated in this section) patent license to make, have made,
+ use, offer to sell, sell, import, and otherwise transfer the Work,
+ where such license applies only to those patent claims licensable
+ by such Contributor that are necessarily infringed by their
+ Contribution(s) alone or by combination of their Contribution(s)
+ with the Work to which such Contribution(s) was submitted. If You
+ institute patent litigation against any entity (including a
+ cross-claim or counterclaim in a lawsuit) alleging that the Work
+ or a Contribution incorporated within the Work constitutes direct
+ or contributory patent infringement, then any patent licenses
+ granted to You under this License for that Work shall terminate
+ as of the date such litigation is filed.
+
+ 4. Redistribution. You may reproduce and distribute copies of the
+ Work or Derivative Works thereof in any medium, with or without
+ modifications, and in Source or Object form, provided that You
+ meet the following conditions:
+
+ (a) You must give any other recipients of the Work or
+ Derivative Works a copy of this License; and
+
+ (b) You must cause any modified files to carry prominent notices
+ stating that You changed the files; and
+
+ (c) You must retain, in the Source form of any Derivative Works
+ that You distribute, all copyright, patent, trademark, and
+ attribution notices from the Source form of the Work,
+ excluding those notices that do not pertain to any part of
+ the Derivative Works; and
+
+ (d) If the Work includes a "NOTICE" text file as part of its
+ distribution, then any Derivative Works that You distribute must
+ include a readable copy of the attribution notices contained
+ within such NOTICE file, excluding those notices that do not
+ pertain to any part of the Derivative Works, in at least one
+ of the following places: within a NOTICE text file distributed
+ as part of the Derivative Works; within the Source form or
+ documentation, if provided along with the Derivative Works; or,
+ within a display generated by the Derivative Works, if and
+ wherever such third-party notices normally appear. The contents
+ of the NOTICE file are for informational purposes only and
+ do not modify the License. You may add Your own attribution
+ notices within Derivative Works that You distribute, alongside
+ or as an addendum to the NOTICE text from the Work, provided
+ that such additional attribution notices cannot be construed
+ as modifying the License.
+
+ You may add Your own copyright statement to Your modifications and
+ may provide additional or different license terms and conditions
+ for use, reproduction, or distribution of Your modifications, or
+ for any such Derivative Works as a whole, provided Your use,
+ reproduction, and distribution of the Work otherwise complies with
+ the conditions stated in this License.
+
+ 5. Submission of Contributions. Unless You explicitly state otherwise,
+ any Contribution intentionally submitted for inclusion in the Work
+ by You to the Licensor shall be under the terms and conditions of
+ this License, without any additional terms or conditions.
+ Notwithstanding the above, nothing herein shall supersede or modify
+ the terms of any separate license agreement you may have executed
+ with Licensor regarding such Contributions.
+
+ 6. Trademarks. This License does not grant permission to use the trade
+ names, trademarks, service marks, or product names of the Licensor,
+ except as required for reasonable and customary use in describing the
+ origin of the Work and reproducing the content of the NOTICE file.
+
+ 7. Disclaimer of Warranty. Unless required by applicable law or
+ agreed to in writing, Licensor provides the Work (and each
+ Contributor provides its Contributions) on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+ implied, including, without limitation, any warranties or conditions
+ of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+ PARTICULAR PURPOSE. You are solely responsible for determining the
+ appropriateness of using or redistributing the Work and assume any
+ risks associated with Your exercise of permissions under this License.
+
+ 8. Limitation of Liability. In no event and under no legal theory,
+ whether in tort (including negligence), contract, or otherwise,
+ unless required by applicable law (such as deliberate and grossly
+ negligent acts) or agreed to in writing, shall any Contributor be
+ liable to You for damages, including any direct, indirect, special,
+ incidental, or consequential damages of any character arising as a
+ result of this License or out of the use or inability to use the
+ Work (including but not limited to damages for loss of goodwill,
+ work stoppage, computer failure or malfunction, or any and all
+ other commercial damages or losses), even if such Contributor
+ has been advised of the possibility of such damages.
+
+ 9. Accepting Warranty or Additional Liability. While redistributing
+ the Work or Derivative Works thereof, You may choose to offer,
+ and charge a fee for, acceptance of support, warranty, indemnity,
+ or other liability obligations and/or rights consistent with this
+ License. However, in accepting such obligations, You may act only
+ on Your own behalf and on Your sole responsibility, not on behalf
+ of any other Contributor, and only if You agree to indemnify,
+ defend, and hold each Contributor harmless for any liability
+ incurred by, or claims asserted against, such Contributor by reason
+ of your accepting any such warranty or additional liability.
+
+ END OF TERMS AND CONDITIONS
+
+ APPENDIX: How to apply the Apache License to your work.
+
+ To apply the Apache License to your work, attach the following
+ boilerplate notice, with the fields enclosed by brackets "[]"
+ replaced with your own identifying information. (Don't include
+ the brackets!) The text should be enclosed in the appropriate
+ comment syntax for the file format. We also recommend that a
+ file or class name and description of purpose be included on the
+ same "printed page" as the copyright notice for easier
+ identification within third-party archives.
+
+ Copyright [yyyy] [name of copyright owner]
+
+ Licensed under the Apache License, Version 2.0 (the "License");
+ you may not use this file except in compliance with the License.
+ You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+ Unless required by applicable law or agreed to in writing, software
+ distributed under the License is distributed on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ See the License for the specific language governing permissions and
+ limitations under the License.
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..c01ed66
--- /dev/null
+++ b/README.md
@@ -0,0 +1,68 @@
+# AccelAsc for R7RS
+
+This library provides an implementation of the algorithm called `accel_asc` by Jerome Kelleher, which generates integer partitions in R7RS.
+For more details, please refer to [Jerome Keller's website](https://jeromekelleher.net/category/combinatorics.html).
+
+## Requirements
+
+- `(scheme generator)` of R7RS-large or `(srfi 158)`
+
+## Usage
+
+### Library `(integer-partition accel-asc)`
+
+#### `(accel-asc n) → <generator>`
+
+Returns a generator that produces a list of integers representing integer partitions for the given value of integer `n`.
+
+## Examples
+
+```scheme
+(import (scheme base)
+ (srfi 158)
+ (integer-partition accel-asc))
+
+(generator-for-each (lambda (lst) (display lst) (newline))
+ (accel-asc 8))
+```
+
+Output:
+
+```
+(1 1 1 1 1 1 1 1)
+(1 1 1 1 1 1 2)
+(1 1 1 1 1 3)
+(1 1 1 1 2 2)
+(1 1 1 1 4)
+(1 1 1 2 3)
+(1 1 1 5)
+(1 1 2 2 2)
+(1 1 2 4)
+(1 1 3 3)
+(1 1 6)
+(1 2 2 3)
+(1 2 5)
+(1 3 4)
+(1 7)
+(2 2 2 2)
+(2 2 4)
+(2 3 3)
+(2 6)
+(3 5)
+(4 4)
+(8)
+```
+
+## License
+
+This library is released under the Apache License Version 2.0.
+See the LICENSE file for more details.
+
+## References
+
+- Kelleher, J. (2006). *Encoding partitions as ascending compositions* [Doctoral dissertation, University College Cork]. [https://jeromekelleher.net/downloads/k06.pdf](https://jeromekelleher.net/downloads/k06.pdf)
+- Kelleher, J. (2014, May 26). *Generating Integer Partitions*. [https://jeromekelleher.net/generating-integer-partitions.html](https://jeromekelleher.net/generating-integer-partitions.html)
+
+## Copyright
+
+Copyright (c) 2024 Masaya Tojo <masaya@tojo.tokyo>
diff --git a/integer-partition/accel-asc.scm b/integer-partition/accel-asc.scm
new file mode 100644
index 0000000..6b44e4d
--- /dev/null
+++ b/integer-partition/accel-asc.scm
@@ -0,0 +1,62 @@
+;;; Copyright 2024 Masaya Tojo <masaya@tojo.tokyo>
+;;;
+;;; Licensed under the Apache License, Version 2.0 (the "License");
+;;; you may not use this file except in compliance with the License.
+;;; You may obtain a copy of the License at
+;;;
+;;; http://www.apache.org/licenses/LICENSE-2.0
+;;;
+;;; Unless required by applicable law or agreed to in writing, software
+;;; distributed under the License is distributed on an "AS IS" BASIS,
+;;; WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+;;; See the License for the specific language governing permissions and
+;;; limitations under the License.
+
+(define-library (integer-partition accel-asc)
+ (export accel-asc)
+ (import (scheme base))
+ (cond-expand
+ ((library (scheme generator))
+ (import (only (scheme generator) make-coroutine-generator)))
+ ((library (srfi 158))
+ (import (only (srfi 158) make-coroutine-generator))))
+ (begin
+ (define-syntax while
+ (syntax-rules ()
+ ((_ condition body body* ...)
+ (let loop ()
+ (if condition
+ (begin
+ body
+ body* ...
+ (loop))
+ (if #f #f)))))))
+ (begin
+ (define (accel-asc n)
+ (accel-asc* n vector->list))
+
+ (define (accel-asc* n convert)
+ (make-coroutine-generator
+ (lambda (yield)
+ (let ((a (make-vector (+ n 1) 0))
+ (k 1)
+ (x 0)
+ (y (- n 1)))
+ (while (not (= k 0))
+ (set! x (+ (vector-ref a (- k 1)) 1))
+ (set! k (- k 1))
+ (while (<= (* 2 x) y)
+ (vector-set! a k x)
+ (set! y (- y x))
+ (set! k (+ k 1)))
+ (let ((l (+ k 1)))
+ (while (<= x y)
+ (vector-set! a k x)
+ (vector-set! a l y)
+ (yield (convert a 0 (+ k 2)))
+ (set! x (+ x 1))
+ (set! y (- y 1)))
+ (vector-set! a k (+ x y))
+ (set! y (+ x y -1))
+ (yield (convert a 0 (+ k 1)))))))))
+ ))