/** * @license * Copyright 2014 Google LLC * SPDX-License-Identifier: Apache-2.0 */ /** * @fileoverview Generating Dart for math blocks. */ // Former goog.module ID: Blockly.Dart.math import {NameType} from '../../core/names.js'; import {Order} from './dart_generator.js'; // RESERVED WORDS: 'Math' export function math_number(block, generator) { // Numeric value. let code = Number(block.getFieldValue('NUM')); let order; if (code === Infinity) { code = 'double.infinity'; order = Order.UNARY_POSTFIX; } else if (code === -Infinity) { code = '-double.infinity'; order = Order.UNARY_PREFIX; } else { // -4.abs() returns -4 in generator due to strange order of operation choices. // -4 is actually an operator and a number. Reflect this in the order. order = code < 0 ? Order.UNARY_PREFIX : Order.ATOMIC; } return [code, order]; }; export function math_arithmetic(block, generator) { // Basic arithmetic operators, and power. const OPERATORS = { 'ADD': [' + ', Order.ADDITIVE], 'MINUS': [' - ', Order.ADDITIVE], 'MULTIPLY': [' * ', Order.MULTIPLICATIVE], 'DIVIDE': [' / ', Order.MULTIPLICATIVE], 'POWER': [null, Order.NONE], // Handle power separately. }; const tuple = OPERATORS[block.getFieldValue('OP')]; const operator = tuple[0]; const order = tuple[1]; const argument0 = generator.valueToCode(block, 'A', order) || '0'; const argument1 = generator.valueToCode(block, 'B', order) || '0'; let code; // Power in generator requires a special case since it has no operator. if (!operator) { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; code = 'Math.pow(' + argument0 + ', ' + argument1 + ')'; return [code, Order.UNARY_POSTFIX]; } code = argument0 + operator + argument1; return [code, order]; }; export function math_single(block, generator) { // Math operators with single operand. const operator = block.getFieldValue('OP'); let code; let arg; if (operator === 'NEG') { // Negation is a special case given its different operator precedence. arg = generator.valueToCode(block, 'NUM', Order.UNARY_PREFIX) || '0'; if (arg[0] === '-') { // --3 is not legal in generator. arg = ' ' + arg; } code = '-' + arg; return [code, Order.UNARY_PREFIX]; } generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; if (operator === 'ABS' || operator.substring(0, 5) === 'ROUND') { arg = generator.valueToCode(block, 'NUM', Order.UNARY_POSTFIX) || '0'; } else if (operator === 'SIN' || operator === 'COS' || operator === 'TAN') { arg = generator.valueToCode(block, 'NUM', Order.MULTIPLICATIVE) || '0'; } else { arg = generator.valueToCode(block, 'NUM', Order.NONE) || '0'; } // First, handle cases which generate values that don't need parentheses // wrapping the code. 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, Order.UNARY_POSTFIX]; } // 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 Error('Unknown math operator: ' + operator); } return [code, Order.MULTIPLICATIVE]; }; export function math_constant(block, generator) { // Constants: PI, E, the Golden Ratio, sqrt(2), 1/sqrt(2), INFINITY. const CONSTANTS = { 'PI': ['Math.pi', Order.UNARY_POSTFIX], 'E': ['Math.e', Order.UNARY_POSTFIX], 'GOLDEN_RATIO': ['(1 + Math.sqrt(5)) / 2', Order.MULTIPLICATIVE], 'SQRT2': ['Math.sqrt2', Order.UNARY_POSTFIX], 'SQRT1_2': ['Math.sqrt1_2', Order.UNARY_POSTFIX], 'INFINITY': ['double.infinity', Order.ATOMIC], }; const constant = block.getFieldValue('CONSTANT'); if (constant !== 'INFINITY') { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; } return CONSTANTS[constant]; }; export function math_number_property(block, generator) { // Check if a number is even, odd, prime, whole, positive, or negative // or if it is divisible by certain number. Returns true or false. const PROPERTIES = { 'EVEN': [' % 2 == 0', Order.MULTIPLICATIVE, Order.EQUALITY], 'ODD': [' % 2 == 1', Order.MULTIPLICATIVE, Order.EQUALITY], 'WHOLE': [' % 1 == 0', Order.MULTIPLICATIVE, Order.EQUALITY], 'POSITIVE': [' > 0', Order.RELATIONAL, Order.RELATIONAL], 'NEGATIVE': [' < 0', Order.RELATIONAL, Order.RELATIONAL], 'DIVISIBLE_BY': [null, Order.MULTIPLICATIVE, Order.EQUALITY], 'PRIME': [null, Order.NONE, Order.UNARY_POSTFIX], }; const dropdownProperty = block.getFieldValue('PROPERTY'); const [suffix, inputOrder, outputOrder] = PROPERTIES[dropdownProperty]; const numberToCheck = generator.valueToCode(block, 'NUMBER_TO_CHECK', inputOrder) || '0'; let code; if (dropdownProperty === 'PRIME') { // Prime is a special case as it is not a one-liner test. generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const functionName = generator.provideFunction_('math_isPrime', ` bool ${generator.FUNCTION_NAME_PLACEHOLDER_}(n) { // https://en.wikipedia.org/wiki/Primality_test#Naive_methods if (n == 2 || n == 3) { return true; } // False if n is null, negative, is 1, or not whole. // And false if n is divisible by 2 or 3. if (n == null || 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 + '(' + numberToCheck + ')'; } else if (dropdownProperty === 'DIVISIBLE_BY') { const divisor = generator.valueToCode(block, 'DIVISOR', Order.MULTIPLICATIVE) || '0'; if (divisor === '0') { return ['false', Order.ATOMIC]; } code = numberToCheck + ' % ' + divisor + ' == 0'; } else { code = numberToCheck + suffix; } return [code, outputOrder]; }; export function math_change(block, generator) { // Add to a variable in place. const argument0 = generator.valueToCode(block, 'DELTA', Order.ADDITIVE) || '0'; const varName = generator.nameDB_.getName( block.getFieldValue('VAR'), NameType.VARIABLE); return varName + ' = (' + varName + ' is num ? ' + varName + ' : 0) + ' + argument0 + ';\n'; }; // Rounding functions have a single operand. export const math_round = math_single; // Trigonometry functions have a single operand. export const math_trig = math_single; export function math_on_list(block, generator) { // Math functions for lists. const func = block.getFieldValue('OP'); const list = generator.valueToCode(block, 'LIST', Order.NONE) || '[]'; let code; switch (func) { case 'SUM': { const functionName = generator.provideFunction_('math_sum', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { num sumVal = 0; myList.forEach((num entry) {sumVal += entry;}); return sumVal; } `); code = functionName + '(' + list + ')'; break; } case 'MIN': { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const functionName = generator.provideFunction_('math_min', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { if (myList.isEmpty) return null; num minVal = myList[0]; myList.forEach((num entry) {minVal = Math.min(minVal, entry);}); return minVal; } `); code = functionName + '(' + list + ')'; break; } case 'MAX': { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const functionName = generator.provideFunction_('math_max', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { if (myList.isEmpty) return null; num maxVal = myList[0]; myList.forEach((num entry) {maxVal = Math.max(maxVal, entry);}); return maxVal; } `); code = functionName + '(' + 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 const functionName = generator.provideFunction_('math_mean', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { // First filter list for numbers only. List localList = new List.from(myList); localList.removeWhere((a) => a is! num); if (localList.isEmpty) return null; num sumVal = 0; localList.forEach((var entry) {sumVal += entry;}); return sumVal / localList.length; } `); code = functionName + '(' + list + ')'; break; } case 'MEDIAN': { const functionName = generator.provideFunction_('math_median', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { // First filter list for numbers only, then sort, then return middle value // or the average of two middle values if list has an even number of elements. List localList = new List.from(myList); localList.removeWhere((a) => a is! num); if (localList.isEmpty) return null; localList.sort((a, b) => (a - b)); int index = localList.length ~/ 2; if (localList.length % 2 == 1) { return localList[index]; } else { return (localList[index - 1] + localList[index]) / 2; } } `); code = functionName + '(' + list + ')'; break; } case 'MODE': { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; // 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] const functionName = generator.provideFunction_('math_modes', ` List ${generator.FUNCTION_NAME_PLACEHOLDER_}(List values) { List modes = []; List counts = []; int maxCount = 0; for (int i = 0; i < values.length; i++) { var value = values[i]; bool found = false; int thisCount; for (int j = 0; j < counts.length; j++) { if (counts[j][0] == value) { thisCount = ++counts[j][1]; found = true; break; } } if (!found) { counts.add([value, 1]); thisCount = 1; } maxCount = Math.max(thisCount, maxCount); } for (int j = 0; j < counts.length; j++) { if (counts[j][1] == maxCount) { modes.add(counts[j][0]); } } return modes; } `); code = functionName + '(' + list + ')'; break; } case 'STD_DEV': { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const functionName = generator.provideFunction_('math_standard_deviation', ` num ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { // First filter list for numbers only. List numbers = new List.from(myList); numbers.removeWhere((a) => a is! num); if (numbers.isEmpty) return null; num n = numbers.length; num sum = 0; numbers.forEach((x) => sum += x); num mean = sum / n; num sumSquare = 0; numbers.forEach((x) => sumSquare += Math.pow(x - mean, 2)); return Math.sqrt(sumSquare / n); } `); code = functionName + '(' + list + ')'; break; } case 'RANDOM': { generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const functionName = generator.provideFunction_('math_random_item', ` dynamic ${generator.FUNCTION_NAME_PLACEHOLDER_}(List myList) { int x = new Math.Random().nextInt(myList.length); return myList[x]; } `); code = functionName + '(' + list + ')'; break; } default: throw Error('Unknown operator: ' + func); } return [code, Order.UNARY_POSTFIX]; }; export function math_modulo(block, generator) { // Remainder computation. const argument0 = generator.valueToCode(block, 'DIVIDEND', Order.MULTIPLICATIVE) || '0'; const argument1 = generator.valueToCode(block, 'DIVISOR', Order.MULTIPLICATIVE) || '0'; const code = argument0 + ' % ' + argument1; return [code, Order.MULTIPLICATIVE]; }; export function math_constrain(block, generator) { // Constrain a number between two limits. generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const argument0 = generator.valueToCode(block, 'VALUE', Order.NONE) || '0'; const argument1 = generator.valueToCode(block, 'LOW', Order.NONE) || '0'; const argument2 = generator.valueToCode(block, 'HIGH', Order.NONE) || 'double.infinity'; const code = 'Math.min(Math.max(' + argument0 + ', ' + argument1 + '), ' + argument2 + ')'; return [code, Order.UNARY_POSTFIX]; }; export function math_random_int(block, generator) { // Random integer between [X] and [Y]. generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const argument0 = generator.valueToCode(block, 'FROM', Order.NONE) || '0'; const argument1 = generator.valueToCode(block, 'TO', Order.NONE) || '0'; const functionName = generator.provideFunction_('math_random_int', ` int ${generator.FUNCTION_NAME_PLACEHOLDER_}(num a, num b) { if (a > b) { // Swap a and b to ensure a is smaller. num c = a; a = b; b = c; } return new Math.Random().nextInt(b - a + 1) + a; } `); const code = functionName + '(' + argument0 + ', ' + argument1 + ')'; return [code, Order.UNARY_POSTFIX]; }; export function math_random_float(block, generator) { // Random fraction between 0 and 1. generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; return ['new Math.Random().nextDouble()', Order.UNARY_POSTFIX]; }; export function math_atan2(block, generator) { // Arctangent of point (X, Y) in degrees from -180 to 180. generator.definitions_['import_dart_math'] = 'import \'dart:math\' as Math;'; const argument0 = generator.valueToCode(block, 'X', Order.NONE) || '0'; const argument1 = generator.valueToCode(block, 'Y', Order.NONE) || '0'; return [ 'Math.atan2(' + argument1 + ', ' + argument0 + ') / Math.pi * 180', Order.MULTIPLICATIVE ]; };