diff --git a/.gitignore b/.gitignore index 6a48e0fb..2c8c5dfd 100644 --- a/.gitignore +++ b/.gitignore @@ -1,5 +1,5 @@ -*swp -node_modules -*.log -.DS_Store -.idea +*swp +node_modules +*.log +.DS_Store +.idea diff --git a/lib/ChangeTypes.js b/lib/ChangeTypes.js index 0090044e..48953dae 100644 --- a/lib/ChangeTypes.js +++ b/lib/ChangeTypes.js @@ -3,6 +3,11 @@ module.exports = { NO_CHANGE: 'NO_CHANGE', + // SUBSTITUTION + + // e.g., given scope = { foo: 10 }, foo ^ 2 -> 10 ^ 2 + SUBSTITUTE_SCOPE_SYMBOL: 'SUBSTITUTE_SCOPE_SYMBOL', + // ARITHMETIC // e.g. 2 + 2 -> 4 or 2 * 2 -> 4 diff --git a/lib/TreeSearch.js b/lib/TreeSearch.js index ad2423a6..cf05d18a 100644 --- a/lib/TreeSearch.js +++ b/lib/TreeSearch.js @@ -5,50 +5,57 @@ const TreeSearch = {}; // Returns a function that performs a preorder search on the tree for the given // simplification function TreeSearch.preOrder = function(simplificationFunction) { - return function (node) { - return search(simplificationFunction, node, true); + return function (node, options={}) { + return search(simplificationFunction, node, true, options); }; }; // Returns a function that performs a postorder search on the tree for the given // simplification function TreeSearch.postOrder = function(simplificationFunction) { - return function (node) { - return search(simplificationFunction, node, false); + return function (node, options={}) { + return search(simplificationFunction, node, false, options); }; }; // A helper function for performing a tree search with a function -function search(simplificationFunction, node, preOrder) { +function search(simplificationFunction, node, preOrder, options={}) { let status; if (preOrder) { - status = simplificationFunction(node); + status = simplificationFunction(node, options); if (status.hasChanged()) { return status; } } - if (Node.Type.isConstant(node) || Node.Type.isSymbol(node)) { + if (Node.Type.isConstant(node)) { return Node.Status.noChange(node); } + // Check isUnaryMinus before Symbol because symbols nested inside unaryMinus + // (e.g., 2x - symbol) need to be subtracted from the expression. Checking + // symbol first causes the symbol to be added. else if (Node.Type.isUnaryMinus(node)) { - status = search(simplificationFunction, node.args[0], preOrder); + status = search(simplificationFunction, node.args[0], preOrder, options); if (status.hasChanged()) { return Node.Status.childChanged(node, status); } } + // symbols can be simplified through variable substitution + else if (Node.Type.isSymbol(node)) { + return simplificationFunction(node, options); + } else if (Node.Type.isOperator(node) || Node.Type.isFunction(node)) { for (let i = 0; i < node.args.length; i++) { const child = node.args[i]; - const childNodeStatus = search(simplificationFunction, child, preOrder); + const childNodeStatus = search(simplificationFunction, child, preOrder, options); if (childNodeStatus.hasChanged()) { return Node.Status.childChanged(node, childNodeStatus, i); } } } else if (Node.Type.isParenthesis(node)) { - status = search(simplificationFunction, node.content, preOrder); + status = search(simplificationFunction, node.content, preOrder, options); if (status.hasChanged()) { return Node.Status.childChanged(node, status); } @@ -58,7 +65,7 @@ function search(simplificationFunction, node, preOrder) { } if (!preOrder) { - return simplificationFunction(node); + return simplificationFunction(node, options); } else { return Node.Status.noChange(node); diff --git a/lib/simplifyExpression/index.js b/lib/simplifyExpression/index.js index ab919afb..efe3cdb0 100644 --- a/lib/simplifyExpression/index.js +++ b/lib/simplifyExpression/index.js @@ -1,7 +1,12 @@ const math = require('mathjs'); const stepThrough = require('./stepThrough'); +const Substitute = require('../substituteScope'); + +function simplifyExpressionString(expressionString, options={}, debug=false) { + const newOptions = Object.assign({}, options); + const newScope = Substitute(options.scope); + newOptions.scope = newScope; -function simplifyExpressionString(expressionString, debug=false) { let exprNode; try { exprNode = math.parse(expressionString); @@ -10,7 +15,7 @@ function simplifyExpressionString(expressionString, debug=false) { return []; } if (exprNode) { - return stepThrough(exprNode, debug); + return stepThrough(exprNode, newOptions, debug); } return []; } diff --git a/lib/simplifyExpression/stepThrough.js b/lib/simplifyExpression/stepThrough.js index 2d9588d2..176f1b2f 100644 --- a/lib/simplifyExpression/stepThrough.js +++ b/lib/simplifyExpression/stepThrough.js @@ -11,6 +11,7 @@ const divisionSearch = require('./divisionSearch'); const fractionsSearch = require('./fractionsSearch'); const functionsSearch = require('./functionsSearch'); const multiplyFractionsSearch = require('./multiplyFractionsSearch'); +const substituteScopeSearch = require('./substituteScopeSearch'); const clone = require('../util/clone'); const flattenOperands = require('../util/flattenOperands'); @@ -19,7 +20,7 @@ const removeUnnecessaryParens = require('../util/removeUnnecessaryParens'); // Given a mathjs expression node, steps through simplifying the expression. // Returns a list of details about each step. -function stepThrough(node, debug=false) { +function stepThrough(node, options={}, debug=false) { if (debug) { // eslint-disable-next-line console.log('\n\nSimplifying: ' + print.ascii(node, false, true)); @@ -37,7 +38,7 @@ function stepThrough(node, debug=false) { let iters = 0; // Now, step through the math expression until nothing changes - nodeStatus = step(node); + nodeStatus = step(node, options); while (nodeStatus.hasChanged()) { if (debug) { logSteps(nodeStatus); @@ -45,7 +46,7 @@ function stepThrough(node, debug=false) { steps.push(removeUnnecessaryParensInStep(nodeStatus)); node = Status.resetChangeGroups(nodeStatus.newNode); - nodeStatus = step(node); + nodeStatus = step(node, options); if (iters++ === MAX_STEP_COUNT) { // eslint-disable-next-line @@ -60,7 +61,7 @@ function stepThrough(node, debug=false) { // Given a mathjs expression node, performs a single step to simplify the // expression. Returns a Node.Status object. -function step(node) { +function step(node, options={}) { let nodeStatus; node = flattenOperands(node); @@ -69,6 +70,10 @@ function step(node) { const simplificationTreeSearches = [ // Basic simplifications that we always try first e.g. (...)^0 => 1 basicsSearch, + // Substitute symbols present in the optional scope object with + // their respective expressions. + // e.g., given options: { scope: { x: 10, y: 20 } }, x + y => 10 + 20 + substituteScopeSearch, // Simplify any division chains so there's at most one division operation. // e.g. 2/x/6 -> 2/(x*6) e.g. 2/(x/6) => 2 * 6/x divisionSearch, @@ -91,7 +96,7 @@ function step(node) { ]; for (let i = 0; i < simplificationTreeSearches.length; i++) { - nodeStatus = simplificationTreeSearches[i](node); + nodeStatus = simplificationTreeSearches[i](node, options); // Always update node, since there might be changes that didn't count as // a step. Remove unnecessary parens, in case one a step results in more // parens than needed. diff --git a/lib/simplifyExpression/substituteScopeSearch/index.js b/lib/simplifyExpression/substituteScopeSearch/index.js new file mode 100644 index 00000000..b736ca23 --- /dev/null +++ b/lib/simplifyExpression/substituteScopeSearch/index.js @@ -0,0 +1,60 @@ +const ChangeTypes = require('../../ChangeTypes'); +const Node = require('../../node'); +const TreeSearch = require('../../TreeSearch'); + +// Searches through the tree, prioritizing deeper nodes, and substitutes +// in-scope values for their respective expressions on a symbol node if possible. +// Returns a Node.Status object. +const search = TreeSearch.postOrder(scopeSubstitution); + +function scopeSubstitution(node, options={}) { + if (Node.Type.isSymbol(node)) { + return substituteAndSimplifySymbols(node, options); + } + else { + return Node.Status.noChange(node); + } +} + +// SUBSTITUTES +// Returns a Node.Status object with substeps +function substituteAndSimplifySymbols(node, options={}) { + if (!options.hasOwnProperty('scope')) { + return Node.Status.noChange(node); + } + + if (!Node.Type.isSymbol(node)) { + return Node.Status.noChange(node); + } + + let symbolName; + if (node.type === 'SymbolNode') { + symbolName = node.name; + } + else if (Node.Type.isUnaryMinus(node)) { + symbolName = node.args[0].name; + } + + const scope = options.scope; + if (scope.hasOwnProperty(symbolName)) { + // when declared at top, kept getting + // TypeError: is not a function + const simplifyExpression = require('../../simplifyExpression'); + const substeps = simplifyExpression(scope[symbolName]); + if (substeps.length === 0) { + const newNode = Node.Creator.constant(Number(scope[symbolName])); + return Node.Status.nodeChanged( + ChangeTypes.SUBSTITUTE_SCOPE_SYMBOL, node, newNode); + } + else { + const newNode = substeps.slice(-1)[0].newNode; + return Node.Status.nodeChanged( + ChangeTypes.SUBSTITUTE_SCOPE_SYMBOL, node, newNode, false, substeps); + } + } + else { + return Node.Status.noChange(node); + } +} + +module.exports = search; diff --git a/lib/solveEquation/index.js b/lib/solveEquation/index.js index c990bcd8..a486388a 100644 --- a/lib/solveEquation/index.js +++ b/lib/solveEquation/index.js @@ -1,8 +1,12 @@ const math = require('mathjs'); - const stepThrough = require('./stepThrough'); +const Substitute = require('../substituteScope'); + +function solveEquationString(equationString, options={}, debug=false) { + const newOptions = Object.assign({}, options); + const newScope = Substitute(options.scope); + newOptions.scope = newScope; -function solveEquationString(equationString, debug=false) { const comparators = ['<=', '>=', '=', '<', '>']; for (let i = 0; i < comparators.length; i++) { @@ -27,7 +31,8 @@ function solveEquationString(equationString, debug=false) { return []; } if (leftNode && rightNode) { - return stepThrough(leftNode, rightNode, comparator, debug); + return stepThrough(leftNode, rightNode, + comparator, newOptions, debug); } } diff --git a/lib/solveEquation/stepThrough.js b/lib/solveEquation/stepThrough.js index 64380c72..42d4bac2 100644 --- a/lib/solveEquation/stepThrough.js +++ b/lib/solveEquation/stepThrough.js @@ -23,7 +23,7 @@ const COMPARATOR_TO_FUNCTION = { // the solution. Possible solutions include: // - solving for a variable (e.g. 'x=3' for '3x=4+5') // - the result of comparing values (e.g. 'true' for 3 = 3, 'false' for 3 < 2) -function stepThrough(leftNode, rightNode, comparator, debug=false) { +function stepThrough(leftNode, rightNode, comparator, options={}, debug=false) { let equation = new Equation(leftNode, rightNode, comparator); if (debug) { @@ -40,7 +40,7 @@ function stepThrough(leftNode, rightNode, comparator, debug=false) { const symbolSet = Symbols.getSymbolsInEquation(equation); if (symbolSet.size === 0) { - return solveConstantEquation(equation, debug); + return solveConstantEquation(equation, debug, [], options); } const symbolName = symbolSet.values().next().value; @@ -68,7 +68,7 @@ function stepThrough(leftNode, rightNode, comparator, debug=false) { // Step through the math equation until nothing changes do { - steps = addSimplificationSteps(steps, equation, debug); + steps = addSimplificationSteps(steps, equation, options, debug); if (steps.length > 0) { const lastStep = steps[steps.length - 1]; @@ -81,7 +81,7 @@ function stepThrough(leftNode, rightNode, comparator, debug=false) { // at this point, the symbols might have cancelled out. if (Symbols.getSymbolsInEquation(equation).size === 0) { - return solveConstantEquation(equation, debug, steps); + return solveConstantEquation(equation, debug, steps, options); } // The left side of the equation is either factored or simplified. @@ -237,14 +237,14 @@ function getSolutionsAndSymbol (equation) { // Given an equation of constants, will simplify both sides, returning // the steps and the result of the equation e.g. 'True' or 'False' -function solveConstantEquation(equation, debug, steps=[]) { +function solveConstantEquation(equation, debug, steps=[], options={}) { const compareFunction = COMPARATOR_TO_FUNCTION[equation.comparator]; if (!compareFunction) { throw Error('Unexpected comparator'); } - steps = addSimplificationSteps(steps, equation, true, debug); + steps = addSimplificationSteps(steps, equation, options, debug); if (steps.length > 0) { const lastStep = steps[steps.length - 1]; equation = Equation.createEquationFromString( @@ -307,7 +307,7 @@ function step(equation, symbolName) { } // Simplifies the equation and returns the simplification steps -function addSimplificationSteps(steps, equation, debug=false) { +function addSimplificationSteps(steps, equation, options={}, debug=false) { let oldEquation = equation.clone(); /* @@ -321,7 +321,7 @@ function addSimplificationSteps(steps, equation, debug=false) { e.g. x + 4 + 2 = 0 <- simplify the left side e.g. 0 = x^2 + 3x + 2 -> x^2 + 3x + 2 = 0 <- swap to the left side */ - const leftSimplifySteps = simplifyExpressionNode(equation.leftNode, false); + const leftSimplifySteps = simplifyExpressionNode(equation.leftNode, options, false); const simplifiedLeftNode = leftSimplifySteps.length !== 0 ? leftSimplifySteps.slice(-1)[0].newNode : equation.leftNode; @@ -369,7 +369,7 @@ function addSimplificationSteps(steps, equation, debug=false) { // (ie the "before" of the before and after) for simplifying the right side. oldEquation = equation.clone(); - const rightSteps = simplifyExpressionNode(equation.rightNode, false); + const rightSteps = simplifyExpressionNode(equation.rightNode, options, false); const rightSubSteps = []; for (let i = 0; i < rightSteps.length; i++) { diff --git a/lib/substituteScope.js b/lib/substituteScope.js new file mode 100644 index 00000000..4c333c0e --- /dev/null +++ b/lib/substituteScope.js @@ -0,0 +1,24 @@ +function substituteScope(scope) { + // create a copy of the provided scope + const newScope = Object.assign({}, scope); + + // iterate over symbols + for (var symbol in newScope) { + // store the symbol's current value in a variable + const targetVal = newScope[symbol].toString(); + // iterate through scope (again) + for (var sym in newScope) { + // extract the value of a symbol as a string + const valStr = newScope[sym].toString(); + // within the stored value, replace symbol (from the outer loop) + // with its respective value + const replaced = valStr.replace(symbol, targetVal); + // store the substituted value in the new scope under the same symbol + newScope[sym] = replaced; + } + } + + return newScope; +} + +module.exports = substituteScope; diff --git a/test/simplifyExpression/substituteScopeSearch/substituteScopeSearch.test.js b/test/simplifyExpression/substituteScopeSearch/substituteScopeSearch.test.js new file mode 100644 index 00000000..df38ae4b --- /dev/null +++ b/test/simplifyExpression/substituteScopeSearch/substituteScopeSearch.test.js @@ -0,0 +1,51 @@ +const assert = require('assert'); +const solveEquation = require('../../../lib/solveEquation'); +const NO_STEPS = 'no-steps'; + +function testSolve(equationString, options={}, outputStr, debug=false) { + const steps = solveEquation(equationString, options, debug); + let lastStep; + if (steps.length === 0) { + lastStep = NO_STEPS; + } + else { + lastStep = steps[steps.length -1].newEquation.ascii(); + } + it(equationString + ' -> ' + outputStr, (done) => { + assert.equal(lastStep, outputStr); + done(); + }); +} + +describe('solveEquation when scope is present', function () { + const tests = [ + // Use of nested scope (i.e., baz depends on bar) + ['2y = baz - x^2', { scope: + { baz: '(bar^2)', + x: 10, + bar: '(foo + x)', + foo: 20 + }}, + 'y = 400' + ], + // Symbol nested inside UnaryMinus node type + ['y = GrossVal * (1 - (FeePct + CCPct)) - TransferFee', + { scope: + { + CCPct: 0.015, + FeePct: 0.05, + GrossVal: 'TotalSales * Margin * Multiple', + Margin: 0.15, + Multiple: 10, + PreTaxNetVal: 'GrossVal * (1 - (FeePct + CCPct)) - TransferFee', + TotalSales: 8239341, + TransferFee: 84000, // when TreeSearch checks Symbol before + // unaryMinus, this test failed with TransferFee being added + // instead of subtracted. + } + }, + 'y = 11471675.7525' + ] + ]; + tests.forEach(t => testSolve(t[0], t[1], t[2], t[3])); +}); diff --git a/yarn.lock b/yarn.lock new file mode 100644 index 00000000..300d5f31 --- /dev/null +++ b/yarn.lock @@ -0,0 +1,951 @@ +# THIS IS AN AUTOGENERATED FILE. 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