/** * @license * Visual Blocks Language * * Copyright 2012 Google Inc. * https://developers.google.com/blockly/ * * 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 Generating JavaScript for math blocks. * @author q.neutron@gmail.com (Quynh Neutron) */ 'use strict'; goog.provide('Blockly.JavaScript.math'); goog.require('Blockly.JavaScript'); Blockly.JavaScript['math_number'] = function(block) { // Numeric value. var code = parseFloat(block.getFieldValue('NUM')); return [code, Blockly.JavaScript.ORDER_ATOMIC]; }; Blockly.JavaScript['math_arithmetic'] = function(block) { // Basic arithmetic operators, and power. var OPERATORS = { 'ADD': [' + ', Blockly.JavaScript.ORDER_ADDITION], 'MINUS': [' - ', Blockly.JavaScript.ORDER_SUBTRACTION], 'MULTIPLY': [' * ', Blockly.JavaScript.ORDER_MULTIPLICATION], 'DIVIDE': [' / ', Blockly.JavaScript.ORDER_DIVISION], 'POWER': [null, Blockly.JavaScript.ORDER_COMMA] // Handle power separately. }; var tuple = OPERATORS[block.getFieldValue('OP')]; var operator = tuple[0]; var order = tuple[1]; var argument0 = Blockly.JavaScript.valueToCode(block, 'A', order) || '0'; var argument1 = Blockly.JavaScript.valueToCode(block, 'B', order) || '0'; var code; // Power in JavaScript requires a special case since it has no operator. if (!operator) { code = 'Math.pow(' + argument0 + ', ' + argument1 + ')'; return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; } code = argument0 + operator + argument1; return [code, order]; }; Blockly.JavaScript['math_single'] = function(block) { // Math operators with single operand. var operator = block.getFieldValue('OP'); var code; var arg; if (operator == 'NEG') { // Negation is a special case given its different operator precedence. arg = Blockly.JavaScript.valueToCode(block, 'NUM', Blockly.JavaScript.ORDER_UNARY_NEGATION) || '0'; if (arg[0] == '-') { // --3 is not legal in JS. arg = ' ' + arg; } code = '-' + arg; return [code, Blockly.JavaScript.ORDER_UNARY_NEGATION]; } if (operator == 'SIN' || operator == 'COS' || operator == 'TAN') { arg = Blockly.JavaScript.valueToCode(block, 'NUM', Blockly.JavaScript.ORDER_DIVISION) || '0'; } else { arg = Blockly.JavaScript.valueToCode(block, 'NUM', Blockly.JavaScript.ORDER_NONE) || '0'; } // First, handle cases which generate values that don't need parentheses // wrapping the code. switch (operator) { case 'ABS': code = 'Math.abs(' + arg + ')'; break; case 'ROOT': code = 'Math.sqrt(' + arg + ')'; break; case 'LN': code = 'Math.log(' + arg + ')'; break; case 'EXP': code = 'Math.exp(' + arg + ')'; break; case 'POW10': code = 'Math.pow(10,' + arg + ')'; break; case 'ROUND': code = 'Math.round(' + arg + ')'; break; case 'ROUNDUP': code = 'Math.ceil(' + arg + ')'; break; case 'ROUNDDOWN': code = 'Math.floor(' + arg + ')'; break; case 'SIN': code = 'Math.sin(' + arg + ' / 180 * Math.PI)'; break; case 'COS': code = 'Math.cos(' + arg + ' / 180 * Math.PI)'; break; case 'TAN': code = 'Math.tan(' + arg + ' / 180 * Math.PI)'; break; } if (code) { return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; } // Second, handle cases which generate values that may need parentheses // wrapping the code. switch (operator) { case 'LOG10': code = 'Math.log(' + arg + ') / Math.log(10)'; break; case 'ASIN': code = 'Math.asin(' + arg + ') / Math.PI * 180'; break; case 'ACOS': code = 'Math.acos(' + arg + ') / Math.PI * 180'; break; case 'ATAN': code = 'Math.atan(' + arg + ') / Math.PI * 180'; break; default: throw 'Unknown math operator: ' + operator; } return [code, Blockly.JavaScript.ORDER_DIVISION]; }; Blockly.JavaScript['math_constant'] = function(block) { // Constants: PI, E, the Golden Ratio, sqrt(2), 1/sqrt(2), INFINITY. var CONSTANTS = { 'PI': ['Math.PI', Blockly.JavaScript.ORDER_MEMBER], 'E': ['Math.E', Blockly.JavaScript.ORDER_MEMBER], 'GOLDEN_RATIO': ['(1 + Math.sqrt(5)) / 2', Blockly.JavaScript.ORDER_DIVISION], 'SQRT2': ['Math.SQRT2', Blockly.JavaScript.ORDER_MEMBER], 'SQRT1_2': ['Math.SQRT1_2', Blockly.JavaScript.ORDER_MEMBER], 'INFINITY': ['Infinity', Blockly.JavaScript.ORDER_ATOMIC] }; return CONSTANTS[block.getFieldValue('CONSTANT')]; }; Blockly.JavaScript['math_number_property'] = function(block) { // Check if a number is even, odd, prime, whole, positive, or negative // or if it is divisible by certain number. Returns true or false. var number_to_check = Blockly.JavaScript.valueToCode(block, 'NUMBER_TO_CHECK', Blockly.JavaScript.ORDER_MODULUS) || '0'; var dropdown_property = block.getFieldValue('PROPERTY'); var code; if (dropdown_property == 'PRIME') { // Prime is a special case as it is not a one-liner test. var functionName = Blockly.JavaScript.provideFunction_( 'math_isPrime', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(n) {', ' // https://en.wikipedia.org/wiki/Primality_test#Naive_methods', ' if (n == 2 || n == 3) {', ' return true;', ' }', ' // False if n is NaN, negative, is 1, or not whole.', ' // And false if n is divisible by 2 or 3.', ' if (isNaN(n) || n <= 1 || n % 1 != 0 || n % 2 == 0 ||' + ' n % 3 == 0) {', ' return false;', ' }', ' // Check all the numbers of form 6k +/- 1, up to sqrt(n).', ' for (var x = 6; x <= Math.sqrt(n) + 1; x += 6) {', ' if (n % (x - 1) == 0 || n % (x + 1) == 0) {', ' return false;', ' }', ' }', ' return true;', '}']); code = functionName + '(' + number_to_check + ')'; return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; } switch (dropdown_property) { case 'EVEN': code = number_to_check + ' % 2 == 0'; break; case 'ODD': code = number_to_check + ' % 2 == 1'; break; case 'WHOLE': code = number_to_check + ' % 1 == 0'; break; case 'POSITIVE': code = number_to_check + ' > 0'; break; case 'NEGATIVE': code = number_to_check + ' < 0'; break; case 'DIVISIBLE_BY': var divisor = Blockly.JavaScript.valueToCode(block, 'DIVISOR', Blockly.JavaScript.ORDER_MODULUS) || '0'; code = number_to_check + ' % ' + divisor + ' == 0'; break; } return [code, Blockly.JavaScript.ORDER_EQUALITY]; }; Blockly.JavaScript['math_change'] = function(block) { // Add to a variable in place. var argument0 = Blockly.JavaScript.valueToCode(block, 'DELTA', Blockly.JavaScript.ORDER_ADDITION) || '0'; var varName = Blockly.JavaScript.variableDB_.getName( block.getFieldValue('VAR'), Blockly.Variables.NAME_TYPE); return varName + ' = (typeof ' + varName + ' == \'number\' ? ' + varName + ' : 0) + ' + argument0 + ';\n'; }; // Rounding functions have a single operand. Blockly.JavaScript['math_round'] = Blockly.JavaScript['math_single']; // Trigonometry functions have a single operand. Blockly.JavaScript['math_trig'] = Blockly.JavaScript['math_single']; Blockly.JavaScript['math_on_list'] = function(block) { // Math functions for lists. var func = block.getFieldValue('OP'); var list, code; switch (func) { case 'SUM': list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_MEMBER) || '[]'; code = list + '.reduce(function(x, y) {return x + y;})'; break; case 'MIN': list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_COMMA) || '[]'; code = 'Math.min.apply(null, ' + list + ')'; break; case 'MAX': list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_COMMA) || '[]'; code = 'Math.max.apply(null, ' + list + ')'; break; case 'AVERAGE': // math_median([null,null,1,3]) == 2.0. var functionName = Blockly.JavaScript.provideFunction_( 'math_mean', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(myList) {', ' return myList.reduce(function(x, y) {return x + y;}) / ' + 'myList.length;', '}']); list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'MEDIAN': // math_median([null,null,1,3]) == 2.0. var functionName = Blockly.JavaScript.provideFunction_( 'math_median', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(myList) {', ' var localList = myList.filter(function (x) ' + '{return typeof x == \'number\';});', ' if (!localList.length) return null;', ' localList.sort(function(a, b) {return b - a;});', ' if (localList.length % 2 == 0) {', ' return (localList[localList.length / 2 - 1] + ' + 'localList[localList.length / 2]) / 2;', ' } else {', ' return localList[(localList.length - 1) / 2];', ' }', '}']); list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'MODE': // As a list of numbers can contain more than one mode, // the returned result is provided as an array. // Mode of [3, 'x', 'x', 1, 1, 2, '3'] -> ['x', 1]. var functionName = Blockly.JavaScript.provideFunction_( 'math_modes', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(values) {', ' var modes = [];', ' var counts = [];', ' var maxCount = 0;', ' for (var i = 0; i < values.length; i++) {', ' var value = values[i];', ' var found = false;', ' var thisCount;', ' for (var j = 0; j < counts.length; j++) {', ' if (counts[j][0] === value) {', ' thisCount = ++counts[j][1];', ' found = true;', ' break;', ' }', ' }', ' if (!found) {', ' counts.push([value, 1]);', ' thisCount = 1;', ' }', ' maxCount = Math.max(thisCount, maxCount);', ' }', ' for (var j = 0; j < counts.length; j++) {', ' if (counts[j][1] == maxCount) {', ' modes.push(counts[j][0]);', ' }', ' }', ' return modes;', '}']); list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'STD_DEV': var functionName = Blockly.JavaScript.provideFunction_( 'math_standard_deviation', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(numbers) {', ' var n = numbers.length;', ' if (!n) return null;', ' var mean = numbers.reduce(function(x, y) {return x + y;}) / n;', ' var variance = 0;', ' for (var j = 0; j < n; j++) {', ' variance += Math.pow(numbers[j] - mean, 2);', ' }', ' variance = variance / n;', ' return Math.sqrt(variance);', '}']); list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'RANDOM': var functionName = Blockly.JavaScript.provideFunction_( 'math_random_list', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(list) {', ' var x = Math.floor(Math.random() * list.length);', ' return list[x];', '}']); list = Blockly.JavaScript.valueToCode(block, 'LIST', Blockly.JavaScript.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; default: throw 'Unknown operator: ' + func; } return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; }; Blockly.JavaScript['math_modulo'] = function(block) { // Remainder computation. var argument0 = Blockly.JavaScript.valueToCode(block, 'DIVIDEND', Blockly.JavaScript.ORDER_MODULUS) || '0'; var argument1 = Blockly.JavaScript.valueToCode(block, 'DIVISOR', Blockly.JavaScript.ORDER_MODULUS) || '0'; var code = argument0 + ' % ' + argument1; return [code, Blockly.JavaScript.ORDER_MODULUS]; }; Blockly.JavaScript['math_constrain'] = function(block) { // Constrain a number between two limits. var argument0 = Blockly.JavaScript.valueToCode(block, 'VALUE', Blockly.JavaScript.ORDER_COMMA) || '0'; var argument1 = Blockly.JavaScript.valueToCode(block, 'LOW', Blockly.JavaScript.ORDER_COMMA) || '0'; var argument2 = Blockly.JavaScript.valueToCode(block, 'HIGH', Blockly.JavaScript.ORDER_COMMA) || 'Infinity'; var code = 'Math.min(Math.max(' + argument0 + ', ' + argument1 + '), ' + argument2 + ')'; return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; }; Blockly.JavaScript['math_random_int'] = function(block) { // Random integer between [X] and [Y]. var argument0 = Blockly.JavaScript.valueToCode(block, 'FROM', Blockly.JavaScript.ORDER_COMMA) || '0'; var argument1 = Blockly.JavaScript.valueToCode(block, 'TO', Blockly.JavaScript.ORDER_COMMA) || '0'; var functionName = Blockly.JavaScript.provideFunction_( 'math_random_int', [ 'function ' + Blockly.JavaScript.FUNCTION_NAME_PLACEHOLDER_ + '(a, b) {', ' if (a > b) {', ' // Swap a and b to ensure a is smaller.', ' var c = a;', ' a = b;', ' b = c;', ' }', ' return Math.floor(Math.random() * (b - a + 1) + a);', '}']); var code = functionName + '(' + argument0 + ', ' + argument1 + ')'; return [code, Blockly.JavaScript.ORDER_FUNCTION_CALL]; }; Blockly.JavaScript['math_random_float'] = function(block) { // Random fraction between 0 and 1. return ['Math.random()', Blockly.JavaScript.ORDER_FUNCTION_CALL]; };