jiangchengfeiyi-xiaochengxu/node_modules/mathjs/lib/cjs/function/algebra/simplify/util.js
2025-01-02 11:13:50 +08:00

269 lines
7.0 KiB
JavaScript

"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.createUtil = void 0;
var _is = require("../../../utils/is.js");
var _factory = require("../../../utils/factory.js");
var _object = require("../../../utils/object.js");
const name = 'simplifyUtil';
const dependencies = ['FunctionNode', 'OperatorNode', 'SymbolNode'];
const createUtil = exports.createUtil = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => {
let {
FunctionNode,
OperatorNode,
SymbolNode
} = _ref;
// TODO commutative/associative properties rely on the arguments
// e.g. multiply is not commutative for matrices
// The properties should be calculated from an argument to simplify, or possibly something in math.config
// the other option is for typed() to specify a return type so that we can evaluate the type of arguments
/* So that properties of an operator fit on one line: */
const T = true;
const F = false;
const defaultName = 'defaultF';
const defaultContext = {
/* */add: {
trivial: T,
total: T,
commutative: T,
associative: T
},
/**/unaryPlus: {
trivial: T,
total: T,
commutative: T,
associative: T
},
/* */subtract: {
trivial: F,
total: T,
commutative: F,
associative: F
},
/* */multiply: {
trivial: T,
total: T,
commutative: T,
associative: T
},
/* */divide: {
trivial: F,
total: T,
commutative: F,
associative: F
},
/* */paren: {
trivial: T,
total: T,
commutative: T,
associative: F
},
/* */defaultF: {
trivial: F,
total: T,
commutative: F,
associative: F
}
};
const realContext = {
divide: {
total: F
},
log: {
total: F
}
};
const positiveContext = {
subtract: {
total: F
},
abs: {
trivial: T
},
log: {
total: T
}
};
function hasProperty(nodeOrName, property) {
let context = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : defaultContext;
let name = defaultName;
if (typeof nodeOrName === 'string') {
name = nodeOrName;
} else if ((0, _is.isOperatorNode)(nodeOrName)) {
name = nodeOrName.fn.toString();
} else if ((0, _is.isFunctionNode)(nodeOrName)) {
name = nodeOrName.name;
} else if ((0, _is.isParenthesisNode)(nodeOrName)) {
name = 'paren';
}
if ((0, _object.hasOwnProperty)(context, name)) {
const properties = context[name];
if ((0, _object.hasOwnProperty)(properties, property)) {
return properties[property];
}
if ((0, _object.hasOwnProperty)(defaultContext, name)) {
return defaultContext[name][property];
}
}
if ((0, _object.hasOwnProperty)(context, defaultName)) {
const properties = context[defaultName];
if ((0, _object.hasOwnProperty)(properties, property)) {
return properties[property];
}
return defaultContext[defaultName][property];
}
/* name not found in context and context has no global default */
/* So use default context. */
if ((0, _object.hasOwnProperty)(defaultContext, name)) {
const properties = defaultContext[name];
if ((0, _object.hasOwnProperty)(properties, property)) {
return properties[property];
}
}
return defaultContext[defaultName][property];
}
function isCommutative(node) {
let context = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : defaultContext;
return hasProperty(node, 'commutative', context);
}
function isAssociative(node) {
let context = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : defaultContext;
return hasProperty(node, 'associative', context);
}
/**
* Merge the given contexts, with primary overriding secondary
* wherever they might conflict
*/
function mergeContext(primary, secondary) {
const merged = {
...primary
};
for (const prop in secondary) {
if ((0, _object.hasOwnProperty)(primary, prop)) {
merged[prop] = {
...secondary[prop],
...primary[prop]
};
} else {
merged[prop] = secondary[prop];
}
}
return merged;
}
/**
* Flatten all associative operators in an expression tree.
* Assumes parentheses have already been removed.
*/
function flatten(node, context) {
if (!node.args || node.args.length === 0) {
return node;
}
node.args = allChildren(node, context);
for (let i = 0; i < node.args.length; i++) {
flatten(node.args[i], context);
}
}
/**
* Get the children of a node as if it has been flattened.
* TODO implement for FunctionNodes
*/
function allChildren(node, context) {
let op;
const children = [];
const findChildren = function (node) {
for (let i = 0; i < node.args.length; i++) {
const child = node.args[i];
if ((0, _is.isOperatorNode)(child) && op === child.op) {
findChildren(child);
} else {
children.push(child);
}
}
};
if (isAssociative(node, context)) {
op = node.op;
findChildren(node);
return children;
} else {
return node.args;
}
}
/**
* Unflatten all flattened operators to a right-heavy binary tree.
*/
function unflattenr(node, context) {
if (!node.args || node.args.length === 0) {
return;
}
const makeNode = createMakeNodeFunction(node);
const l = node.args.length;
for (let i = 0; i < l; i++) {
unflattenr(node.args[i], context);
}
if (l > 2 && isAssociative(node, context)) {
let curnode = node.args.pop();
while (node.args.length > 0) {
curnode = makeNode([node.args.pop(), curnode]);
}
node.args = curnode.args;
}
}
/**
* Unflatten all flattened operators to a left-heavy binary tree.
*/
function unflattenl(node, context) {
if (!node.args || node.args.length === 0) {
return;
}
const makeNode = createMakeNodeFunction(node);
const l = node.args.length;
for (let i = 0; i < l; i++) {
unflattenl(node.args[i], context);
}
if (l > 2 && isAssociative(node, context)) {
let curnode = node.args.shift();
while (node.args.length > 0) {
curnode = makeNode([curnode, node.args.shift()]);
}
node.args = curnode.args;
}
}
function createMakeNodeFunction(node) {
if ((0, _is.isOperatorNode)(node)) {
return function (args) {
try {
return new OperatorNode(node.op, node.fn, args, node.implicit);
} catch (err) {
console.error(err);
return [];
}
};
} else {
return function (args) {
return new FunctionNode(new SymbolNode(node.name), args);
};
}
}
return {
createMakeNodeFunction,
hasProperty,
isCommutative,
isAssociative,
mergeContext,
flatten,
allChildren,
unflattenr,
unflattenl,
defaultContext,
realContext,
positiveContext
};
});