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;;; Infix-to-Prefix --- Library for converting infix formula to Prefix expression
;;; Copyright © 2024 Masaya Tojo <masaya@tojo.tokyo>
;;;
;;; This file is part of Infix-to-Prefix.
;;;
;;; Infix-to-Prefix 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.
;;;
;;; Infix-to-Prefix 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 Infix-to-Prefix. If not, see
;;; <https://www.gnu.org/licenses/>.
(define-library (infix-to-prefix rule-set)
(export rule-set
rule-set?
rule-set-infix-ref
rule-set-prefix-ref
operator
operator?
operator-symbol
operator-prefix-symbol
operator-precedence
operator-left?
operator-right?
operator-associative?
operator-prefix
operator-identity
identity
identity?
identity-value
identity-inv?
identity-unary?
identity-unary-precedence
direction
direction?
direction-left?
direction-associative?
prefix
prefix?
prefix-symbol
prefix-binary-only?)
(import (scheme base)
(scheme case-lambda)
(only (srfi 128) make-eqv-comparator))
(cond-expand
((library (srfi srfi-146 hash)) ;; for guile-srfi-146
(import (only (srfi srfi-146 hash) hashmap-ref/default hashmap-unfold)))
((library (srfi 146 hash))
(import (only (srfi 146 hash) hashmap-ref/default hashmap-unfold))))
(begin
(define-record-type <rule-set>
(make-rule-set operator-hashmap prefix-hashmap)
rule-set?
(operator-hashmap rule-set-operator-hashmap)
(prefix-hashmap rule-set-prefix-hashmap))
(define (rule-set operator-list)
(make-rule-set (list->operator-hashmap operator-list)
(list->prefix-hashmap operator-list)))
(define (list->operator-hashmap ops)
(hashmap-unfold null?
(lambda (ops)
(values (operator-symbol (car ops))
(car ops)))
cdr
ops
(make-eqv-comparator)))
(define (list->prefix-hashmap ops)
(hashmap-unfold null?
(lambda (ops)
(let ((op (car ops)))
(values (operator-prefix-symbol op)
(car ops))))
cdr
ops
(make-eqv-comparator)))
(define (rule-set-infix-ref rule-set key)
(hashmap-ref/default (rule-set-operator-hashmap rule-set) key #f))
(define (rule-set-prefix-ref rule-set key)
(hashmap-ref/default (rule-set-prefix-hashmap rule-set) key #f))
(define-record-type <operator>
(make-operator symbol precedence dir identity prefix)
operator?
(symbol operator-symbol)
(precedence operator-precedence)
(dir operator-direction)
(identity operator-identity)
(prefix operator-prefix))
(define operator
(case-lambda
((symbol precedence)
(operator symbol precedence #f))
((symbol precedence direction)
(operator symbol precedence direction #f))
((symbol precedence direction identity)
(operator symbol precedence direction identity #f))
((symbol precedence direction identity prefix)
(when (and identity (identity-unary? identity)
(not (and direction (direction-left? direction))))
(error "operator: unary operator must be left direction" symbol))
(make-operator symbol precedence direction identity prefix))))
(define-record-type <direction>
(make-direction left? associative?)
direction?
(left? direction-left?)
(associative? direction-associative?))
(define (direction-right? assoc)
(not (direction-left? assoc)))
(define direction
(case-lambda
((dir)
(direction dir #f))
((dir associative?)
(unless (or (eq? 'left dir)
(eq? 'right dir))
(error "direction: The 1st argument must be 'left or 'right" dir))
(make-direction (eq? 'left dir) associative?))))
(define (operator-left? x)
(cond ((operator-direction x) => direction-left?)
(else #f)))
(define (operator-right? x)
(cond ((operator-direction x) => (lambda (a) (not (direction-left? a))))
(else #f)))
(define (operator-associative? x)
(cond ((operator-direction x) => direction-associative?)
(else #f)))
(define (operator-prefix-symbol op)
(cond ((operator-prefix op) => (lambda (p)
(and (prefix-has-symbol? p)
(prefix-symbol p))))
(else (operator-symbol op))))
(define-record-type <prefix>
(make-prefix binary-only? has-symbol? symbol)
prefix?
(binary-only? prefix-binary-only?)
(has-symbol? prefix-has-symbol?)
(symbol prefix-symbol))
(define prefix
(case-lambda
((binary-only?)
(make-prefix binary-only? #f #f))
((binary-only? symbol)
(make-prefix binary-only? #t symbol))))
(define-record-type <identity>
(make-identity value inv? unary? unary-precedence)
identity?
(value identity-value)
(inv? identity-inv?)
(unary? identity-unary?)
(unary-precedence identity-unary-precedence))
(define identity
(case-lambda
((value) (identity value #f))
((value inv?) (identity value inv? #f))
((value inv? unary?) (identity value inv? unary? #f))
((value inv? unary? unary-precedence) (make-identity value inv? unary? unary-precedence))))))
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