After a night or two of late hacking...

I have a semblance of code giving me functions to help me run my D&D
games. The README needs a lot more love, but the code is generally tidy.

Time to add some tables...
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Howard Abrams 2021-01-29 23:18:36 -08:00
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;;; rpgdm-tables.el --- Choose table from Tables -*- lexical-binding: t; -*-
;;
;; Copyright (C) 2021 Howard X. Abrams
;;
;; Author: Howard X. Abrams <http://gitlab.com/howardabrams>
;; Maintainer: Howard X. Abrams <howard.abrams@workday.com>
;; Created: January 8, 2021
;;
;; This file is not part of GNU Emacs.
;;
;;; Commentary:
;;
;; By storing tables in files, we can preparse them, allowing us to randomly
;; choose entries. The primary interface are:
;;
;; - `rpgdm-tables-load' :: Which when pointed to a directory, stores the data
;; in all text files read.
;;
;; - `rpgdm-tables-choose' :: Which, when a table is choosen, returns a random
;; element.
;;
;; The files read can be simply formatted as lists, or as an org-mode table. If
;; a table is found, the second column should be a _frequency_ label, where some
;; items in that table will be chosen more often than others.
;;
;;; Code:
(defvar rpgdm-base ".")
(require 'rpgdm-dice (expand-file-name "rpgdm-dice.el" rpgdm-base) t)
(defvar rpgdm-tables-directory
(expand-file-name "tables" rpgdm-base)
"Directory path containing the tables to load and create functions.")
(defvar rpgdm-tables (make-hash-table :test 'equal)
"Collection of tables and lists for the Dungeon Master.")
(defun rpgdm-tables-load (&optional filepath)
"Create functions from table files located in FILEPATH directory."
(interactive (list (read-directory-name "DM Tables Directory: " rpgdm-tables-directory)))
(dolist (table-file (directory-files filepath t))
(let ((name (file-name-base table-file))
(contents (rpgdm-tables--read-table-file table-file)))
;; (message "Read: %s" table-file)
(puthash name contents rpgdm-tables)))
(message "Read: %s" (s-join ", " (hash-table-keys rpgdm-tables))))
(defun rpgdm-tables-choose (table-name)
"Given a TABLE-NAME string, pick a random item from that table."
(interactive (list (completing-read "Choose from Table: " (hash-table-keys rpgdm-tables))))
(let ((table (gethash table-name rpgdm-tables)))
(cond ((listp table) (rpgdm-tables--choose-list table))
((hash-table-p table) (rpgdm-tables--choose-hash table))
(t "Error: Could choose anything from %s (internal bug?)" table-name))))
(defvar rpgdm-tables--line-parse
(rx bol (zero-or-more space)
(optional
(any "+" "-" "*" "|")
(one-or-more space))
(group (+? any))
(optional (zero-or-more space) (or ":" "|") (zero-or-more space)
(group (one-or-more alphanumeric))
(zero-or-more space) (optional (or ":" "|")) (zero-or-more space))
eol)
"A regular expression for locating parsable lines.")
(ert-deftest rpgdm-tables--line-parse-test ()
"Why yes, we should test our regular expression."
(dolist (data '((" - normal list" "normal list" nil)
(" + normal list" "normal list" nil)
(" * normal list" "normal list" nil)
("normal list" "normal list" nil)
(" - list with tag :tag:" "list with tag" "tag")
(" - list with tag :tag" "list with tag" "tag")
(" - list with tag : tag" "list with tag" "tag")
(" | table cell | freq |" "table cell" "freq")))
(cl-destructuring-bind (line contents tag) data
(should (string-match rpgdm-tables--line-parse line))
(should (equal (match-string 1 line) contents))
(when tag
(should (equal (match-string 2 line) tag))))))
(defun rpgdm-tables--read-table-file (table-file)
"Read and parse TABLE-FILE as data. Whatever that means."
(with-temp-buffer
(insert-file-contents table-file)
(goto-char (point-min))
(flush-lines (rx bol (zero-or-more space) "#"))
(when (re-search-forward rpgdm-tables--line-parse nil nil)
(if (match-string 2)
(rpgdm-tables--parse-as-hash)
(rpgdm-tables--parse-as-list)))))
(defun rpgdm-tables--parse-as-list ()
"Return list of lines matching `rpgdm-tables--line-parse'."
(let ((results (list (match-string-no-properties 1))))
(while (re-search-forward rpgdm-tables--line-parse nil t)
(let ((entry (match-string-no-properties 1)))
(setq results (cons entry results))))
results))
(defun rpgdm-tables--parse-as-hash ()
"Return hashtable of lines matching `rpgdm-tables--line-parse'.
The keys in the hashtable are the tags from the file, and the
values will be a list of matching entries of that tag.
For instance, the file:
- salt :common:
- silver :rare:
- gold :rare:
- pepper :common:
Would return a hashtable containing:
rare: [gold silver]
common [salt peper]"
;; Create a hash, populated it, and return it:
(let ((results (make-hash-table :test 'equal))
(entry (match-string-no-properties 1))
(tag (match-string-no-properties 2)))
;; Store initial match from parent call:
(puthash tag (list entry) results)
(while (re-search-forward rpgdm-tables--line-parse nil t)
(let* ((entry (match-string-no-properties 1))
(tag (match-string-no-properties 2))
(prev-list (gethash tag results)))
(puthash tag (cons entry prev-list) results)))
;; Combine the sublists of equivalent tags:
(rpgdm-tables--flatten-hash results)))
(defun rpgdm-tables--flatten-hash (table)
"Combine the values of equivalent table-tags in TABLE.
A table, read as a hash table, may have similar, but equal tags.
For instance, `veryrare' and `very-rare' are the same."
(let* ((table-tags (rpgdm-tables--which-tag-group table)) ; Ignore all the numbers
(tags (-map 'rest table-tags)))
(dolist (subtag-list tags)
(unless (= 1 (length subtag-list))
(let ((keeper (first subtag-list)))
(dolist (tag (rest subtag-list))
(puthash keeper (append (gethash keeper table)
(gethash tag table)) table)
(remhash tag table)))))
table))
;; ----------------------------------------------------------------------
;;
;; At this point, we have a hash table of tables, where the key is the name, and
;; the value is either:
;; - A list of things to choose
;; - A hash table where the key is a tag, and the value is a list of items
;; that match that tag.
;;
;; Obviously, selecting an element from a list is easy:
(defun rpgdm-tables--choose-list (lst)
"Randomly choose (equal chance for any) element in LST."
(let ((item (seq-random-elt lst)))
(message "%s" item)))
;; However, choosing an element in a hash of tags seems ... challenging. This is
;; because I want the tags to somehow add a particular weight to the randomness.
;; Not a complete standard distribution (bell curve), but a little more favor to
;; some items. For instance, labeling something 'common' should show more often
;; than 'uncommon'.
;;
;; Choosing an item from a hash table is a complicated algorithm that may not be
;; as obvious by reading the code, so let's describe this with an example.
;; Assume we have the following frequency table with a /relative weight/ for each tag:
;;
;; - often :: 4
;; - seldom :: 3
;; - scarely :: 2
;; - rarely :: 1
;;
;; Is coded with the following list of lists:
;;
;; ((4 "often")
;; (3 "seldom" "sometimes")
;; (2 "scarcely" "scarce" "hardly ever")
;; (1 "rarely"))
;;
;; Read this as: we should have 4 times as many items labeled "often" as "rarely".
;;
;; So we use the function, `rpgdm-tables--table-distribution' to make a
;; table-specific tag list, usually called `table-tags', where:
;;
;; each weight = the number of items * relative weight
;;
;; So if we had 11 items in the table tagged as "often", and 8 rare
;; items, we would have a tag table as:
;;
;; ((44 "often") (27 "seldom") (22 "scarcely") (8 "rarely"))
;; TODO English tags and their relative weights are hard-coded at the moment.
;; This really should just be part of the file, perhaps as a buffer-local
;; variable?
(defconst rpgdm-tables-tag-groups
'(((10 "common")
(6 "uncommon")
(4 "rare")
(2 "veryrare" "very-rare" "very rare")
(1 "legendary"))
((4 "often")
(3 "seldom" "sometimes")
(2 "scarcely" "scarce" "hardly ever")
(1 "rarely"))))
(defun rpgdm-tables--choose-hash (table)
"Select item from a hash TABLE.
Note that tables stored in a hash table have weight keys and a list
of items associated with that weight."
(let* ((table-tags (rpgdm-tables--table-distribution table))
(tag (rpgdm-tables--choose-tag table-tags)))
(rpgdm-tables--choose-list (gethash tag table))))
(defun rpgdm-tables--relevel-table (table tag)
"Given a TAG of a hash TABLE, return new relative level.
The new value is based on the original weight, e.g. 4 and the
number of items of that particular tag.
Note: This is a helper function for `rpgdm-tables--table-distribution'."
(let* ((name (second tag))
(items (gethash name table))
(weight (first tag))
(new-weight (* weight (length items))))
(list new-weight name)))
(ert-deftest rpgdm-tables-relevel-table-test ()
;; Need to make a fake table, so we will just have a single entry in this
;; table, with a tag of "often". We'll specify that the weight for this should
;; be 4, and we'll store 10 items under that tag:
(let* ((table (make-hash-table :test 'equal))
(tag "often")
(tag-weight-tuple (list 4 tag)))
(puthash tag (number-sequence 1 10) table)
(should (equal (list 40 tag)
(rpgdm-tables--relevel-table table tag-weight-tuple)))))
(defun rpgdm-tables--table-distribution (table)
"Return a relative frequency tag group for a given TABLE.
Works by running map over the table's tags through the
`rpgdm-tables--relevel-table' helper function."
(let ((table-tags (rpgdm-tables--which-tag-group table)))
(--map (rpgdm-tables--relevel-table table it) table-tags)))
(defun rpgdm-tables--sum-tag-weights (tags)
"The TAGS is a list of lists where the first element is a numeric weight.
Using `-reduce' allows us to sum these, but we need to make sure that the
first element of our list is our initial condition, so we `cons' a 0 onto
the start."
(--reduce (+ acc (first it)) (cons 0 tags)))
(ert-deftest rpgdm-tables--sum--tag-weights-test ()
(let ((weighted-tags
'((44 "often") (27 "seldom") (22 "scarcely") (7 "rarely"))))
(should (= 100 (rpgdm-tables--sum-tag-weights weighted-tags)))))
(defun rpgdm-tables--find-tag (roll tag-list)
"Given a ROLL as a level in TAG-LIST, return matching tag.
The matching is based on the weight. A million ways to do this,
but stepping through the list of tags to see roll is in that
*window*, and if not, both move to the next tag, as well as
decrement the ROLL value."
(cl-loop for (num-elems tag) in tag-list do
;; (message "Comparing %d <= %d for %s" roll num-elems tag)
(if (<= roll num-elems)
(return tag)
(decf roll num-elems))))
(ert-deftest rpgdm-tables--find-tag-test ()
(let ((weighted-tags
'((44 "often") (27 "seldom") (22 "scarcely") (7 "rarely"))))
(should (equal "often" (rpgdm-tables--find-tag 1 weighted-tags)))
(should (equal "often" (rpgdm-tables--find-tag 44 weighted-tags)))
(should (equal "seldom" (rpgdm-tables--find-tag 45 weighted-tags)))
(should (equal "seldom" (rpgdm-tables--find-tag 71 weighted-tags)))
(should (equal "scarcely" (rpgdm-tables--find-tag 72 weighted-tags)))
(should (equal "scarcely" (rpgdm-tables--find-tag 93 weighted-tags)))
(should (equal "rarely" (rpgdm-tables--find-tag 94 weighted-tags)))
(should (equal "rarely" (rpgdm-tables--find-tag 100 weighted-tags)))))
(defun rpgdm-tables--choose-tag (tags)
"Select random tag from TAGS in `rpgdm-tables-tag-groups'.
Uses helper function, `rpgdm-tables--find-tag'."
(let* ((upper-limit (rpgdm-tables--sum-tag-weights tags))
(roll (rpgdm--roll-die upper-limit)))
;; (message "Rolled %d on %d" roll upper-limit)
(rpgdm-tables--find-tag roll tags)))
(defun rpgdm-tables--which-tag-group (table)
"Return the tag table-tags associated with TABLE."
(let (results
(tag (first (hash-table-keys table))))
(dolist (table-tags rpgdm-tables-tag-groups results)
(let ((tag-list (->> table-tags
(-map 'rest) ; Drop the numeric weight from each sublist
(-flatten))))
(when (-contains? tag-list tag)
(setq results table-tags))))))
;; ----------------------------------------------------------------------
;; Let's attempt to test our code and its theories.
;;
;; The function repeatedly selects items from a table randomly,
;; and returns a hash of the number of times each element was
;; selected ...
(defun rpgdm-tables-validate (&optional table-name iterations)
"Return results randomly choosing many items from TABLE-NAME.
Calls `rpgdm-tables-choose' a number of ITERATIONS (defaults to 500)."
(unless iterations (setq iterations 500))
(unless table-name
(setq table-name "test-subject")
(puthash table-name (make-hash-table :test 'equal) rpgdm-tables)
(setf (gethash "often" (gethash table-name rpgdm-tables))
'(o1 o2 o3 o4 o5 o6 o7 o8 o9 o0))
(setf (gethash "seldom" (gethash table-name rpgdm-tables))
'(s1 s2 s3 s4 s5 s6 s7 s8 s9 s0))
(setf (gethash "scarcely" (gethash table-name rpgdm-tables))
'(l1 l2 l3 l4 l5 l6 l7 l8 l9 l0))
(setf (gethash "rarely" (gethash table-name rpgdm-tables))
'(r1 r2 r3 r4 r5 r6 r7 r8 r9 r0)))
(let ((accumulator (make-hash-table :test 'equal)))
(dotimes (i iterations accumulator)
(let* ((item (rpgdm-tables-choose table-name))
(item-name (first (s-split " :: " item))))
(incf (gethash item-name accumulator 0))))
accumulator))
;; Since we are randomly selecting items, even over large iterations, one can
;; see _scarcely_ appear almost as much as items labeled _often_. However, if we
;; first sort the data:
;;
;; "o1" 35 "o2" 31 "o3" 38 "o4" 44 "o5" 43 ...
;; "s1" 35 "s2" 38 "s3" 29 "s4" 28 "s5" 26 ...
;; "l1" 26 "l2" 20 "l3" 19 "l4" 19 "l5" 26 ...
;; "r1" 10 "r2" 7 "r3" 8 "r4" 5 "r5" 13 ...
;;
;; And then calculate the average of each _level_, we see that the items occur
;; as we would expect:
;;
;; (/ (+ 35 31 38 44 43) 5) -> 38
;; (/ (+ 35 38 29 28 26) 5) -> 31
;; (/ (+ 26 20 19 19 26) 5) -> 22
;; (/ (+ 10 7 8 5 13) 5) -> 8
(provide 'rpgdm-tables)
;;; rpgdm-tables.el ends here