/** * Visual Blocks Language * * Copyright 2012 Google Inc. * http://blockly.googlecode.com/ * * 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 Dart for math blocks. * @author q.neutron@gmail.com (Quynh Neutron) */ 'use strict'; goog.provide('Blockly.Dart.math'); goog.require('Blockly.Dart'); Blockly.Dart.addReservedWords('Math'); Blockly.Dart.math_number = function() { // Numeric value. var code = window.parseFloat(this.getTitleValue('NUM')); // -4.abs() returns -4 in Dart due to strange order of operation choices. // -4 is actually an operator and a number. Reflect this in the order. var order = code < 0 ? Blockly.Dart.ORDER_UNARY_PREFIX : Blockly.Dart.ORDER_ATOMIC; return [code, order]; }; Blockly.Dart.math_arithmetic = function() { // Basic arithmetic operators, and power. var mode = this.getTitleValue('OP'); var tuple = Blockly.Dart.math_arithmetic.OPERATORS[mode]; var operator = tuple[0]; var order = tuple[1]; var argument0 = Blockly.Dart.valueToCode(this, 'A', order) || '0'; var argument1 = Blockly.Dart.valueToCode(this, 'B', order) || '0'; var code; // Power in Dart requires a special case since it has no operator. if (!operator) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; code = 'Math.pow(' + argument0 + ', ' + argument1 + ')'; return [code, Blockly.Dart.ORDER_UNARY_POSTFIX]; } code = argument0 + operator + argument1; return [code, order]; }; Blockly.Dart.math_arithmetic.OPERATORS = { ADD: [' + ', Blockly.Dart.ORDER_ADDITIVE], MINUS: [' - ', Blockly.Dart.ORDER_ADDITIVE], MULTIPLY: [' * ', Blockly.Dart.ORDER_MULTIPLICATIVE], DIVIDE: [' / ', Blockly.Dart.ORDER_MULTIPLICATIVE], POWER: [null, Blockly.Dart.ORDER_NONE] // Handle power separately. }; Blockly.Dart.math_single = function() { // Math operators with single operand. var operator = this.getTitleValue('OP'); var code; var arg; if (operator == 'NEG') { // Negation is a special case given its different operator precedence. arg = Blockly.Dart.valueToCode(this, 'NUM', Blockly.Dart.ORDER_UNARY_PREFIX) || '0'; if (arg[0] == '-') { // --3 is not legal in Dart. arg = ' ' + arg; } code = '-' + arg; return [code, Blockly.Dart.ORDER_UNARY_PREFIX]; } Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; if (operator == 'ABS' || operator.substring(0, 5) == 'ROUND') { arg = Blockly.Dart.valueToCode(this, 'NUM', Blockly.Dart.ORDER_UNARY_POSTFIX) || '0'; } else if (operator == 'SIN' || operator == 'COS' || operator == 'TAN') { arg = Blockly.Dart.valueToCode(this, 'NUM', Blockly.Dart.ORDER_MULTIPLICATIVE) || '0'; } else { arg = Blockly.Dart.valueToCode(this, 'NUM', Blockly.Dart.ORDER_NONE) || '0'; } // First, handle cases which generate values that don't need parentheses. switch (operator) { case 'ABS': code = arg + '.abs()'; 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 = arg + '.round()'; break; case 'ROUNDUP': code = arg + '.ceil()'; break; case 'ROUNDDOWN': code = arg + '.floor()'; 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.Dart.ORDER_UNARY_POSTFIX]; } // Second, handle cases which generate values that may need parentheses. 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.Dart.ORDER_MULTIPLICATIVE]; }; Blockly.Dart.math_constant = function() { // Constants: PI, E, the Golden Ratio, sqrt(2), 1/sqrt(2), INFINITY. var constant = this.getTitleValue('CONSTANT'); if (constant != 'INFINITY') { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; } return Blockly.Dart.math_constant.CONSTANTS[constant]; }; Blockly.Dart.math_constant.CONSTANTS = { PI: ['Math.PI', Blockly.Dart.ORDER_UNARY_POSTFIX], E: ['Math.E', Blockly.Dart.ORDER_UNARY_POSTFIX], GOLDEN_RATIO: ['(1 + Math.sqrt(5)) / 2', Blockly.Dart.ORDER_MULTIPLICATIVE], SQRT2: ['Math.SQRT2', Blockly.Dart.ORDER_UNARY_POSTFIX], SQRT1_2: ['Math.SQRT1_2', Blockly.Dart.ORDER_UNARY_POSTFIX], INFINITY: ['double.INFINITY', Blockly.Dart.ORDER_ATOMIC] }; Blockly.Dart.math_number_property = function() { // 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.Dart.valueToCode(this, 'NUMBER_TO_CHECK', Blockly.Dart.ORDER_MULTIPLICATIVE); if (!number_to_check) { return ['false', Blockly.Python.ORDER_ATOMIC]; } var dropdown_property = this.getTitleValue('PROPERTY'); var code; if (dropdown_property == 'PRIME') { // Prime is a special case as it is not a one-liner test. if (!Blockly.Dart.definitions_['isPrime']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'isPrime', Blockly.Generator.NAME_TYPE); Blockly.Dart.logic_prime= functionName; var func = []; func.push('bool ' + functionName + '(n) {'); func.push(' // http://en.wikipedia.org/wiki/Primality_test#Naive_methods'); func.push(' if (n == 2 || n == 3) {'); func.push(' return true;'); func.push(' }'); func.push(' // False if n is null, negative, is 1, or not whole.'); func.push(' // And false if n is divisible by 2 or 3.'); func.push(' if (n == null || n <= 1 || n % 1 != 0 || n % 2 == 0 ||' + ' n % 3 == 0) {'); func.push(' return false;'); func.push(' }'); func.push(' // Check all the numbers of form 6k +/- 1, up to sqrt(n).'); func.push(' for (var x = 6; x <= Math.sqrt(n) + 1; x += 6) {'); func.push(' if (n % (x - 1) == 0 || n % (x + 1) == 0) {'); func.push(' return false;'); func.push(' }'); func.push(' }'); func.push(' return true;'); func.push('}'); Blockly.Dart.definitions_['isPrime'] = func.join('\n'); } code = Blockly.Dart.logic_prime + '(' + number_to_check + ')'; return [code, Blockly.Dart.ORDER_UNARY_POSTFIX]; } 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.Dart.valueToCode(this, 'DIVISOR', Blockly.Dart.ORDER_MULTIPLICATIVE); if (!divisor) { return ['false', Blockly.Python.ORDER_ATOMIC]; } code = number_to_check + ' % ' + divisor + ' == 0'; break; } return [code, Blockly.Dart.ORDER_EQUALITY]; }; Blockly.Dart.math_change = function() { // Add to a variable in place. var argument0 = Blockly.Dart.valueToCode(this, 'DELTA', Blockly.Dart.ORDER_ADDITIVE) || '0'; var varName = Blockly.Dart.variableDB_.getName(this.getTitleValue('VAR'), Blockly.Variables.NAME_TYPE); return varName + ' = (' + varName + ' is num ? ' + varName + ' : 0) + ' + argument0 + ';\n'; }; // Rounding functions have a single operand. Blockly.Dart.math_round = Blockly.Dart.math_single; // Trigonometry functions have a single operand. Blockly.Dart.math_trig = Blockly.Dart.math_single; Blockly.Dart.math_on_list = function() { // Math functions for lists. var func = this.getTitleValue('OP'); var list = Blockly.Dart.valueToCode(this, 'LIST', Blockly.Dart.ORDER_NONE) || '[]'; var code; switch (func) { case 'SUM': if (!Blockly.Dart.definitions_['math_sum']) { var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_sum', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_sum = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' num sumVal = 0;'); func.push(' myList.forEach((num entry) {sumVal += entry;});'); func.push(' return sumVal;'); func.push('}'); Blockly.Dart.definitions_['math_sum'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_sum + '(' + list + ')'; break; case 'MIN': if (!Blockly.Dart.definitions_['math_min']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_min', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_min = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' if (myList.isEmpty) return null;'); func.push(' num minVal = myList[0];'); func.push(' myList.forEach((num entry) ' + '{minVal = Math.min(minVal, entry);});'); func.push(' return minVal;'); func.push('}'); Blockly.Dart.definitions_['math_min'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_min + '(' + list + ')'; break; case 'MAX': if (!Blockly.Dart.definitions_['math_max']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_max', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_max = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' if (myList.isEmpty) return null;'); func.push(' num maxVal = myList[0];'); func.push(' myList.forEach((num entry) ' + '{maxVal = Math.max(maxVal, entry);});'); func.push(' return maxVal;'); func.push('}'); Blockly.Dart.definitions_['math_max'] = func.join('\n'); Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; } code = Blockly.Dart.math_on_list.math_max + '(' + list + ')'; break; case 'AVERAGE': // This operation exclude null and values that are not int or float: // math_mean([null,null,"aString",1,9]) == 5.0. if (!Blockly.Dart.definitions_['math_average']) { var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_average', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_average = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' // First filter list for numbers only.'); func.push(' List localList = new List.from(myList);'); func.push(' localList.removeMatching((a) => a is! num);'); func.push(' if (localList.isEmpty) return null;'); func.push(' num sumVal = 0;'); func.push(' localList.forEach((num entry) {sumVal += entry;});'); func.push(' return sumVal / localList.length;'); func.push('}'); Blockly.Dart.definitions_['math_average'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_average + '(' + list + ')'; break; case 'MEDIAN': if (!Blockly.Dart.definitions_['math_median']) { var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_median', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_median = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' // First filter list for numbers only, then sort, ' + 'then return middle value'); func.push(' // or the average of two middle values if list has an ' + 'even number of elements.'); func.push(' List localList = new List.from(myList);'); func.push(' localList.removeMatching((a) => a is! num);'); func.push(' if (localList.isEmpty) return null;'); func.push(' localList.sort((a, b) => (a - b));'); func.push(' int index = localList.length ~/ 2;'); func.push(' if (localList.length % 2 == 1) {'); func.push(' return localList[index];'); func.push(' } else {'); func.push(' return (localList[index - 1] + localList[index]) / 2;'); func.push(' }'); func.push('}'); Blockly.Dart.definitions_['math_median'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_median + '(' + list + ')'; break; case 'MODE': if (!Blockly.Dart.definitions_['math_modes']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_modes', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_modes = functionName; // 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 func = []; func.push('List ' + functionName + '(values) {'); func.push(' List modes = [];'); func.push(' List counts = [];'); func.push(' int maxCount = 0;'); func.push(' for (int i = 0; i < values.length; i++) {'); func.push(' var value = values[i];'); func.push(' bool found = false;'); func.push(' int thisCount;'); func.push(' for (int j = 0; j < counts.length; j++) {'); func.push(' if (counts[j][0] == value) {'); func.push(' thisCount = ++counts[j][1];'); func.push(' found = true;'); func.push(' break;'); func.push(' }'); func.push(' }'); func.push(' if (!found) {'); func.push(' counts.add([value, 1]);'); func.push(' thisCount = 1;'); func.push(' }'); func.push(' maxCount = Math.max(thisCount, maxCount);'); func.push(' }'); func.push(' for (int j = 0; j < counts.length; j++) {'); func.push(' if (counts[j][1] == maxCount) {'); func.push(' modes.add(counts[j][0]);'); func.push(' }'); func.push(' }'); func.push(' return modes;'); func.push('}'); Blockly.Dart.definitions_['math_modes'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_modes + '(' + list + ')'; break; case 'STD_DEV': if (!Blockly.Dart.definitions_['math_standard_deviation']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_standard_deviation', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_standard_deviation = functionName; var func = []; func.push('num ' + functionName + '(List myList) {'); func.push(' // First filter list for numbers only.'); func.push(' List numbers = new List.from(myList);'); func.push(' numbers.removeMatching((a) => a is! num);'); func.push(' if (numbers.isEmpty) return null;'); func.push(' num n = numbers.length;'); func.push(' num sum = 0;'); func.push(' numbers.forEach((x) => sum += x);'); func.push(' num mean = sum / n;'); func.push(' num sumSquare = 0;'); func.push(' numbers.forEach((x) => sumSquare += ' + 'Math.pow(x - mean, 2));'); func.push(' return Math.sqrt(sumSquare / n);'); func.push('}'); Blockly.Dart.definitions_['math_standard_deviation'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_standard_deviation + '(' + list + ')'; break; case 'RANDOM': if (!Blockly.Dart.definitions_['math_random_item']) { Blockly.Dart.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_random_item', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_on_list.math_random_item = functionName; var func = []; func.push('dynamic ' + functionName + '(List myList) {'); func.push(' int x = new Math.Random().nextInt(myList.length);'); func.push(' return myList[x];'); func.push('}'); Blockly.Dart.definitions_['math_random_item'] = func.join('\n'); } code = Blockly.Dart.math_on_list.math_random_item + '(' + list + ')'; break; default: throw 'Unknown operator: ' + func; } return [code, Blockly.Dart.ORDER_UNARY_POSTFIX]; }; Blockly.Dart.math_modulo = function() { // Remainder computation. var argument0 = Blockly.Dart.valueToCode(this, 'DIVIDEND', Blockly.Dart.ORDER_MULTIPLICATIVE) || '0'; var argument1 = Blockly.Dart.valueToCode(this, 'DIVISOR', Blockly.Dart.ORDER_MULTIPLICATIVE) || '0'; var code = argument0 + ' % ' + argument1; return [code, Blockly.Dart.ORDER_MULTIPLICATIVE]; }; Blockly.Dart.math_constrain = function() { // Constrain a number between two limits. var argument0 = Blockly.Dart.valueToCode(this, 'VALUE', Blockly.Dart.ORDER_NONE) || '0'; var argument1 = Blockly.Dart.valueToCode(this, 'LOW', Blockly.Dart.ORDER_NONE) || '0'; var argument2 = Blockly.Dart.valueToCode(this, 'HIGH', Blockly.Dart.ORDER_NONE) || 'double.INFINITY'; var code = 'Math.min(Math.max(' + argument0 + ', ' + argument1 + '), ' + argument2 + ')'; return [code, Blockly.Dart.ORDER_UNARY_POSTFIX]; }; Blockly.Dart.math_random_int = function() { // Random integer between [X] and [Y]. var argument0 = Blockly.Dart.valueToCode(this, 'FROM', Blockly.Dart.ORDER_NONE) || '0'; var argument1 = Blockly.Dart.valueToCode(this, 'TO', Blockly.Dart.ORDER_NONE) || '0'; if (!Blockly.Dart.definitions_['math_random_int']) { var functionName = Blockly.Dart.variableDB_.getDistinctName( 'math_random_int', Blockly.Generator.NAME_TYPE); Blockly.Dart.math_random_int.random_function = functionName; var func = []; func.push('int ' + functionName + '(num a, num b) {'); func.push(' if (a > b) {'); func.push(' // Swap a and b to ensure a is smaller.'); func.push(' num c = a;'); func.push(' a = b;'); func.push(' b = c;'); func.push(' }'); func.push(' return new Math.Random().nextInt(b - a + 1) + a;'); func.push('}'); Blockly.Dart.definitions_['math_random_int'] = func.join('\n'); } var code = Blockly.Dart.math_random_int.random_function + '(' + argument0 + ', ' + argument1 + ')'; return [code, Blockly.Dart.ORDER_UNARY_POSTFIX]; }; Blockly.Dart.math_random_float = function() { // Random fraction between 0 and 1. return ['new Math.Random().nextDouble()', Blockly.Dart.ORDER_UNARY_POSTFIX]; };