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;;; gnosis-algorithm.el --- Spaced Repetition Algorithm for Gnosis -*- lexical-binding: t; -*-
;; Copyright (C) 2023 Thanos Apollo
;; Author: Thanos Apollo <[email protected]>
;; Keywords: extensions
;; URL: https://git.thanosapollo.org/gnosis
;; Version: 0.0.1
;; Package-Requires: ((emacs "27.2") (compat "29.1.4.2"))
;; 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.
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <https://www.gnu.org/licenses/>.
;;; Commentary:
;; Work in progress
;;; Code:
(require 'cl-lib)
(require 'calendar)
(defcustom gnosis-algorithm-interval '(1 3)
"Gnosis initial interval for successful reviews.
First item: First interval,
Second item: Second interval.
Note: `gnosis-algorithm-interval' is ignored after 10 TOTAL reviews or
when ef is above > 3.0, which should only be the case for customized
notes/review sessions."
:group 'gnosis
:type 'list)
(defcustom gnosis-algorithm-ef '(0.3 0.3 1.3)
"Gnosis easiness factor.
First item : Increase factor
Second item: Decrease factor
Third item : Starting total ef
Note: Starting total ef should not be above 3.0"
:group 'gnosis
:type 'list)
(defcustom gnosis-algorithm-ff 0.5
"Gnosis forgetting factor.
Used to calcuate new interval for failed questions.
NOTE: Do not change this value above 1"
:group 'gnosis
:type 'float)
(defun gnosis-algorithm-date (&optional offset)
"Return the current date in a list (year month day).
Optional integer OFFSET is a number of days from the current date."
(let* ((now (decode-time))
(now (list (decoded-time-month now)
(decoded-time-day now)
(decoded-time-year now))))
(let ((date (if (zerop (or offset 0))
now
(calendar-gregorian-from-absolute
(+ offset (calendar-absolute-from-gregorian now))))))
(list (nth 2 date) (nth 0 date) (nth 1 date)))))
(defun gnosis-algorithm-date-diff (date)
"Find the difference between the current date and the given DATE.
DATE format must be given as (yyyy mm dd)
The structure of the given date is (YEAR MONTH DAY)."
(let ((given-date (encode-time 0 0 0 (caddr date) (cadr date) (car date))))
(- (time-to-days (current-time))
(time-to-days given-date))))
(defun gnosis-algorithm-e-factor (ef quality)
"Calculate new e-factor given existing EF and binary QUALITY, 0 or 1."
(cond
((not (numberp quality))
(error "Invalid argument passed to gnosis-algorithm-e-factor"))
((= quality 0) ;; If the quality score is 0 (fail), decrease the ef by a small penalty
(max 1.3 (- ef (cadr gnosis-algorithm-ef))))
((= quality 1) ;; If the quality score is 1 (pass), increase the ef by a small reward
(+ ef (car gnosis-algorithm-ef)))
(t (error "Invalid quality score passed to gnosis-algorithm-e-factor"))))
;; This should be further tested for notes with last-interval of 0 when success 0
;; For future versions of this algorithm, we should also calculate
;; failures in row to have "leech" like notes as well.
;; TODO: Use initial-interval value instead gnosis-algorithm-interval
(defun gnosis-algorithm-next-interval (last-interval n ef success ff successful-reviews)
"Calculate next interval.
- LAST-INTERVAL : The number of days since the item was last reviewed.
- N : Number of times the item has been reviewed.
- EF : Easiness Factor.
- SUCCESS : Success of the recall, ranges from 0 (unsuccessful) to 1
(successful).
- FF: Failure factor
- SUCCESSFUL-REVIEWS : Number of successful reviews.
Returns a list of: (INTERVAL N EF) where,
- Next review date in (yyyy mm dd) format.
- N : Incremented by 1.
- EF : Modified based on the recall success for the item."
(cl-assert (and (>= success 0)
(<= success 1)))
;; Check if gnosis-algorithm-ff is lower than 1 & is total-ef above 1.3
(cond ((>= gnosis-algorithm-ff 1)
(error "Value of `gnosis-algorithm-ff' must be lower than 1"))
((< (nth 2 gnosis-algorithm-ef) 1.3)
(error "Value of total-ef from `gnosis-algorithm-ef' must be above 1.3")))
;; Calculate the next easiness factor.
(let* ((next-ef (gnosis-algorithm-e-factor ef success))
;; Calculate the next interval.
;; ef should not be > 3.0 unless the card is imported/edited,
;; thus ignore initial intervals
(interval
(cond
;; First successful review -> first interval
((and (= successful-reviews 0)
(= success 1)
(< n 10)
(< ef 3.0))
(car gnosis-algorithm-interval))
;; Second successful review -> second interval
((and (= successful-reviews 1)
(< n 10)
(= success 1)
(< ef 3.0))
(cadr gnosis-algorithm-interval))
;; For custom review sessions.
((and (= last-interval 0)
(= success 1))
(* ef 1))
;; For everything else
(t (if (= success 1)
(* ef last-interval)
(* ff last-interval))))))
(list (gnosis-algorithm-date (round interval)) next-ef)))
(provide 'gnosis-algorithm)
;;; gnosis-algorithm.el ends here
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