site/node_modules/mathjax-full/ts/output/common/Notation.ts

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/*************************************************************
*
* Copyright (c) 2018-2022 The MathJax Consortium
*
* 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.
*/
/**
* @fileoverview Implements utilities for notations for menclose elements
*
* @author dpvc@mathjax.org (Davide Cervone)
*/
import {AnyWrapper} from './Wrapper.js';
import {CommonMenclose} from './Wrappers/menclose.js';
/*****************************************************************/
export const ARROWX = 4, ARROWDX = 1, ARROWY = 2; // default relative arrowhead values
export const THICKNESS = .067; // default rule thickness
export const PADDING = .2; // default padding
export const SOLID = THICKNESS + 'em solid'; // a solid border
/*****************************************************************/
/**
* Shorthand for CommonMenclose
*/
export type Menclose = CommonMenclose<any, any, any>;
/**
* Top, right, bottom, left padding data
*/
export type PaddingData = [number, number, number, number];
/**
* The functions used for notation definitions
*
* @templare N The DOM node class
*/
export type Renderer<W extends AnyWrapper, N> = (node: W, child: N) => void;
export type BBoxExtender<W extends AnyWrapper> = (node: W) => PaddingData;
export type BBoxBorder<W extends AnyWrapper> = (node: W) => PaddingData;
export type Initializer<W extends AnyWrapper> = (node: W) => void;
/**
* The definition of a notation
*
* @template W The menclose wrapper class
* @templare N The DOM node class
*/
export type NotationDef<W extends AnyWrapper, N> = {
renderer: Renderer<W, N>; // renders the DOM nodes for the notation
bbox: BBoxExtender<W>; // gives the offsets to the child bounding box: [top, right, bottom, left]
border?: BBoxBorder<W>; // gives the amount of the bbox offset that is due to borders on the child
renderChild?: boolean; // true if the notation is used to render the child directly (e.g., radical)
init?: Initializer<W>; // function to be called during wrapper construction
remove?: string; // list of notations that are suppressed by this one
};
/**
* For defining notation maps
*
* @template W The menclose wrapper class
* @templare N The DOM node class
*/
export type DefPair<W extends AnyWrapper, N> = [string, NotationDef<W, N>];
export type DefList<W extends AnyWrapper, N> = Map<string, NotationDef<W, N>>;
export type DefPairF<T, W extends AnyWrapper, N> = (name: T) => DefPair<W, N>;
/**
* The list of notations for an menclose element
*
* @template W The menclose wrapper class
* @templare N The DOM node class
*/
export type List<W extends AnyWrapper, N> = {[notation: string]: NotationDef<W, N>};
/*****************************************************************/
/**
* The names and indices of sides for borders, padding, etc.
*/
export const sideIndex = {top: 0, right: 1, bottom: 2, left: 3};
export type Side = keyof typeof sideIndex;
export const sideNames = Object.keys(sideIndex) as Side[];
/**
* Common BBox and Border functions
*/
export const fullBBox = ((node) => new Array(4).fill(node.thickness + node.padding)) as BBoxExtender<Menclose>;
export const fullPadding = ((node) => new Array(4).fill(node.padding)) as BBoxExtender<Menclose>;
export const fullBorder = ((node) => new Array(4).fill(node.thickness)) as BBoxBorder<Menclose>;
/*****************************************************************/
/**
* The length of an arrowhead
*/
export const arrowHead = (node: Menclose) => {
return Math.max(node.padding, node.thickness * (node.arrowhead.x + node.arrowhead.dx + 1));
};
/**
* Adjust short bbox for tall arrow heads
*/
export const arrowBBoxHD = (node: Menclose, TRBL: PaddingData) => {
if (node.childNodes[0]) {
const {h, d} = node.childNodes[0].getBBox();
TRBL[0] = TRBL[2] = Math.max(0, node.thickness * node.arrowhead.y - (h + d) / 2);
}
return TRBL;
};
/**
* Adjust thin bbox for wide arrow heads
*/
export const arrowBBoxW = (node: Menclose, TRBL: PaddingData) => {
if (node.childNodes[0]) {
const {w} = node.childNodes[0].getBBox();
TRBL[1] = TRBL[3] = Math.max(0, node.thickness * node.arrowhead.y - w / 2);
}
return TRBL;
};
/**
* The data for horizontal and vertical arrow notations
* [angle, double, isVertical, remove]
*/
export const arrowDef = {
up: [-Math.PI / 2, false, true, 'verticalstrike'],
down: [ Math.PI / 2, false, true, 'verticakstrike'],
right: [ 0, false, false, 'horizontalstrike'],
left: [ Math.PI, false, false, 'horizontalstrike'],
updown: [ Math.PI / 2, true, true, 'verticalstrike uparrow downarrow'],
leftright: [ 0, true, false, 'horizontalstrike leftarrow rightarrow']
} as {[name: string]: [number, boolean, boolean, string]};
/**
* The data for diagonal arrow notations
* [c, pi, double, remove]
*/
export const diagonalArrowDef = {
updiagonal: [-1, 0, false, 'updiagonalstrike northeastarrow'],
northeast: [-1, 0, false, 'updiagonalstrike updiagonalarrow'],
southeast: [ 1, 0, false, 'downdiagonalstrike'],
northwest: [ 1, Math.PI, false, 'downdiagonalstrike'],
southwest: [-1, Math.PI, false, 'updiagonalstrike'],
northeastsouthwest: [-1, 0, true, 'updiagonalstrike northeastarrow updiagonalarrow southwestarrow'],
northwestsoutheast: [ 1, 0, true, 'downdiagonalstrike northwestarrow southeastarrow']
} as {[name: string]: [number, number, boolean, string]};
/**
* The BBox functions for horizontal and vertical arrows
*/
export const arrowBBox = {
up: (node) => arrowBBoxW(node, [arrowHead(node), 0, node.padding, 0]),
down: (node) => arrowBBoxW(node, [node.padding, 0, arrowHead(node), 0]),
right: (node) => arrowBBoxHD(node, [0, arrowHead(node), 0, node.padding]),
left: (node) => arrowBBoxHD(node, [0, node.padding, 0, arrowHead(node)]),
updown: (node) => arrowBBoxW(node, [arrowHead(node), 0, arrowHead(node), 0]),
leftright: (node) => arrowBBoxHD(node, [0, arrowHead(node), 0, arrowHead(node)])
} as {[name: string]: BBoxExtender<Menclose>};
/*****************************************************************/
/**
* @param {Renderer} render The function for adding the border to the node
* @return {string => DefPair} The function returingn the notation definition
* for the notation having a line on the given side
*/
export const CommonBorder = function<W extends Menclose, N>(render: Renderer<W, N>): DefPairF<Side, W, N> {
/**
* @param {string} side The side on which a border should appear
* @return {DefPair} The notation definition for the notation having a line on the given side
*/
return (side: Side) => {
const i = sideIndex[side];
return [side, {
//
// Add the border to the main child object
//
renderer: render,
//
// Indicate the extra space on the given side
//
bbox: (node) => {
const bbox = [0, 0, 0, 0] as PaddingData;
bbox[i] = node.thickness + node.padding;
return bbox;
},
//
// Indicate the border on the given side
//
border: (node) => {
const bbox = [0, 0, 0, 0] as PaddingData;
bbox[i] = node.thickness;
return bbox;
}
}];
};
};
/**
* @param {Renderer} render The function for adding the borders to the node
* @return {(sring, Side, Side) => DefPair} The function returning the notation definition
* for the notation having lines on two sides
*/
export const CommonBorder2 = function<W extends Menclose, N>(render: Renderer<W, N>):
(name: string, side1: Side, side2: Side) => DefPair<W, N> {
/**
* @param {string} name The name of the notation to define
* @param {Side} side1 The first side to get a border
* @param {Side} side2 The second side to get a border
* @return {DefPair} The notation definition for the notation having lines on two sides
*/
return (name: string, side1: Side, side2: Side) => {
const i1 = sideIndex[side1];
const i2 = sideIndex[side2];
return [name, {
//
// Add the border along the given sides
//
renderer: render,
//
// Mark the extra space along the two sides
//
bbox: (node) => {
const t = node.thickness + node.padding;
const bbox = [0, 0, 0, 0] as PaddingData;
bbox[i1] = bbox[i2] = t;
return bbox;
},
//
// Indicate the border on the two sides
//
border: (node) => {
const bbox = [0, 0, 0, 0] as PaddingData;
bbox[i1] = bbox[i2] = node.thickness;
return bbox;
},
//
// Remove the single side notations, if present
//
remove: side1 + ' ' + side2
}];
};
};
/*****************************************************************/
/**
* @param {string => Renderer} render The function for adding the strike to the node
* @return {string => DefPair} The function returning the notation definition for the diagonal strike
*/
export const CommonDiagonalStrike = function<W extends Menclose, N>(render: (sname: string) => Renderer<W, N>):
DefPairF<string, W, N> {
/**
* @param {string} name The name of the diagonal strike to define
* @return {DefPair} The notation definition for the diagonal strike
*/
return (name: string) => {
const cname = 'mjx-' + name.charAt(0) + 'strike';
return [name + 'diagonalstrike', {
//
// Find the angle and width from the bounding box size and create the diagonal line
//
renderer: render(cname),
//
// Add padding all around
//
bbox: fullBBox
}];
};
};
/*****************************************************************/
/**
* @param {Renderer} render The function to add the arrow to the node
* @return {string => DefPair} The funciton returning the notation definition for the diagonal arrow
*/
export const CommonDiagonalArrow = function<W extends Menclose, N>(render: Renderer<W, N>): DefPairF<string, W, N> {
/**
* @param {string} name The name of the diagonal arrow to define
* @return {DefPair} The notation definition for the diagonal arrow
*/
return (name: string) => {
const [c, pi, double, remove] = diagonalArrowDef[name];
return [name + 'arrow', {
//
// Find the angle and width from the bounding box size and create
// the arrow from them and the other arrow data
//
renderer: (node, _child) => {
const [a, W] = node.arrowAW();
const arrow = node.arrow(W, c * (a - pi), double);
render(node, arrow);
},
//
// Add space for the arrowhead all around
//
bbox: (node) => {
const {a, x, y} = node.arrowData();
const [ax, ay, adx] = [node.arrowhead.x, node.arrowhead.y, node.arrowhead.dx];
const [b, ar] = node.getArgMod(ax + adx, ay);
const dy = y + (b > a ? node.thickness * ar * Math.sin(b - a) : 0);
const dx = x + (b > Math.PI / 2 - a ? node.thickness * ar * Math.sin(b + a - Math.PI / 2) : 0);
return [dy, dx, dy, dx];
},
//
// Remove redundant notations
//
remove: remove
}];
};
};
/**
* @param {Renderer} render The function to add the arrow to the node
* @return {string => DefPair} The function returning the notation definition for the arrow
*/
export const CommonArrow = function<W extends Menclose, N>(render: Renderer<W, N>): DefPairF<string, W, N> {
/**
* @param {string} name The name of the horizontal or vertical arrow to define
* @return {DefPair} The notation definition for the arrow
*/
return (name: string) => {
const [angle, double, isVertical, remove] = arrowDef[name];
return [name + 'arrow', {
//
// Get the arrow height and depth from the bounding box and the arrow direction
// then create the arrow from that and the other data
//
renderer: (node, _child) => {
const {w, h, d} = node.getBBox();
const [W, offset] = (isVertical ? [h + d, 'X'] : [w, 'Y']);
const dd = node.getOffset(offset);
const arrow = node.arrow(W, angle, double, offset, dd);
render(node, arrow);
},
//
// Add the padding to the proper sides
//
bbox: arrowBBox[name],
//
// Remove redundant notations
//
remove: remove
}];
};
};