'use strict'; goog.provide('Blockly.OpenSCAD.math'); goog.require('Blockly.OpenSCAD'); Blockly.OpenSCAD['math_number'] = function(block) { // Numeric value. var code = parseFloat(block.getFieldValue('NUM')); if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_ATOMIC]; else return ['//' + code, Blockly.OpenSCAD.ORDER_ATOMIC]; }; Blockly.OpenSCAD['math_angle'] = function(block) { // Numeric value. var code = parseFloat(block.getFieldValue('NUM')); if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_ATOMIC]; else return ['//' + code, Blockly.OpenSCAD.ORDER_ATOMIC]; }; Blockly.OpenSCAD['math_arithmetic'] = function(block) { // Basic arithmetic operators and power. var OPERATORS = { ADD: [' + ', Blockly.OpenSCAD.ORDER_ADDITION], MINUS: [' - ', Blockly.OpenSCAD.ORDER_SUBTRACTION], MULTIPLY: [' * ', Blockly.OpenSCAD.ORDER_MULTIPLICATION], DIVIDE: [' / ', Blockly.OpenSCAD.ORDER_DIVISION], POWER: [null, Blockly.OpenSCAD.ORDER_COMMA] }; var tuple = OPERATORS[block.getFieldValue('OP')]; var operator = tuple[0]; var order = tuple[1]; var argument0 = Blockly.OpenSCAD.valueToCode(block, 'A', order) || '0'; var argument1 = Blockly.OpenSCAD.valueToCode(block, 'B', order) || '0'; var code; //Power in OpenSCAD uses a special case since it has no operator. if (!operator) { code = 'pow(' + argument0 + ', ' + argument1 + ')'; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; } code = argument0 + operator + argument1; if (block.getParent()) return [code, order]; else return ['//' + code, order]; }; Blockly.OpenSCAD['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.OpenSCAD.valueToCode(block, 'NUM', Blockly.OpenSCAD.ORDER_UNARY_NEGATION) || '0'; if (arg[0] == '-') { // --3 is not legal in JS. arg = ' ' + arg; } code = '-' + arg; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_UNARY_NEGATION]; else return ['//' + code, Blockly.OpenSCAD.ORDER_UNARY_NEGATION]; } if (operator == 'SIN' || operator == 'COS' || operator == 'TAN') { arg = Blockly.OpenSCAD.valueToCode(block, 'NUM', Blockly.OpenSCAD.ORDER_DIVISION) || '0'; } else { arg = Blockly.OpenSCAD.valueToCode(block, 'NUM', Blockly.OpenSCAD.ORDER_NONE) || '0'; } // First, handle cases which generate values that don't need parentheses // wrapping the code. switch (operator) { case 'ABS': code = 'abs(' + arg + ')'; break; case 'ROOT': code = 'sqrt(' + arg + ')'; break; case 'LN': code = 'ln(' + arg + ')'; break; case 'EXP': code = 'exp(' + arg + ')'; break; case 'POW10': code = 'pow(10,' + arg + ')'; break; case 'ROUND': code = 'round(' + arg + ')'; break; case 'ROUNDUP': code = 'ceil(' + arg + ')'; break; case 'ROUNDDOWN': code = 'floor(' + arg + ')'; break; case 'SIN': code = 'sin(' + arg + ')'; break; case 'COS': code = 'cos(' + arg + ')'; break; case 'TAN': code = 'tan(' + arg + ')'; break; } if (code) { if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; } // Second, handle cases which generate values that may need parentheses // wrapping the code. switch (operator) { case 'LOG10': code = 'log(' + arg + ')'; break; case 'ASIN': code = 'asin(' + arg + ')'; break; case 'ACOS': code = 'acos(' + arg + ')'; break; case 'ATAN': code = 'atan(' + arg + ')'; break; default: throw 'Unknown math operator: ' + operator; } if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_DIVISION]; else return ['//' + code, Blockly.OpenSCAD.ORDER_DIVISION]; }; Blockly.OpenSCAD['math_constant_bs'] = function(block) { // Constants: PI, E, the Golden Ratio, sqrt(2), 1/sqrt(2). var CONSTANTS = { PI: ['3.14159', Blockly.OpenSCAD.ORDER_MEMBER], E: ['2.71828', Blockly.OpenSCAD.ORDER_MEMBER], GOLDEN_RATIO: ['(1 + sqrt(5)) / 2', Blockly.OpenSCAD.ORDER_DIVISION], SQRT2: ['sqrt(2)', Blockly.OpenSCAD.ORDER_MEMBER], SQRT1_2: ['sqrt(1/2)', Blockly.OpenSCAD.ORDER_MEMBER] }; if (block.getParent()) return CONSTANTS[block.getFieldValue('CONSTANT')]; else return '//' + CONSTANTS[block.getFieldValue('CONSTANT')]; }; // This is just for backwards compatibility! Blockly.OpenSCAD['math_constant'] = function(block) { // Constants: PI, E, the Golden Ratio, sqrt(2), 1/sqrt(2). var CONSTANTS = { PI: ['3.14159', Blockly.OpenSCAD.ORDER_MEMBER], E: ['2.71828', Blockly.OpenSCAD.ORDER_MEMBER], GOLDEN_RATIO: ['(1 + sqrt(5)) / 2', Blockly.OpenSCAD.ORDER_DIVISION], SQRT2: ['sqrt(2)', Blockly.OpenSCAD.ORDER_MEMBER], SQRT1_2: ['sqrt(1/2)', Blockly.OpenSCAD.ORDER_MEMBER] }; if (block.getParent()) return CONSTANTS[block.getFieldValue('CONSTANT')]; else return '//' + CONSTANTS[block.getFieldValue('CONSTANT')]; }; Blockly.OpenSCAD['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.OpenSCAD.valueToCode(block, 'NUMBER_TO_CHECK', Blockly.OpenSCAD.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.OpenSCAD.provideFunction_( 'math_isPrime', [ 'function ' + Blockly.OpenSCAD.FUNCTION_NAME_PLACEHOLDER_ + '(n) =', ' // https://en.wikipedia.org/wiki/Primality_test#Naive_methods', ' if (n == 2 || n == 3) {', ' 1;', ' }', ' // False if n is NaN, negative, is 1, or not whole.', ' // And false if n is divisible by 2 or 3.', ' // Cant check for NaN in openscad.', ' if ( n <= 1 || n % 1 != 0 || n % 2 == 0 ||' + ' n % 3 == 0) {', ' 0', ' }', ' // Check all the numbers of form 6k +/- 1, up to sqrt(n).', ' for (x = [6:6:sqrt(n)]) {', ' if (n % (x - 1) == 0 || n % (x + 1) == 0) {', ' 0;', ' }', ' }', ' 1;', '}']); code = functionName + '(' + number_to_check + ')'; return [code, Blockly.OpenSCAD.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.OpenSCAD.valueToCode(block, 'DIVISOR', Blockly.OpenSCAD.ORDER_MODULUS) || '0'; code = number_to_check + ' % ' + divisor + ' == 0'; break; } if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_EQUALITY]; else return ['//' + code, Blockly.OpenSCAD.ORDER_EQUALITY]; }; Blockly.OpenSCAD['math_change'] = function(block) { // Add to a variable in place. //TODO fix this for OpenSCAD. Possibly using the assign() function. var argument0 = Blockly.OpenSCAD.valueToCode(block, 'DELTA', Blockly.OpenSCAD.ORDER_ADDITION) || '0'; var varName = Blockly.OpenSCAD.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.OpenSCAD['math_round'] = Blockly.OpenSCAD['math_single']; // Trigonometry functions have a single operand. Blockly.OpenSCAD['math_trig'] = Blockly.OpenSCAD['math_single']; Blockly.OpenSCAD['math_on_list'] = function(block) { // Math functions for lists. // TODO fix this for OpenSCAD. min and max are 2-operand in openscad, there is no avg, median, etc. var func = block.getFieldValue('OP'); var list, code; switch (func) { case 'SUM': list = Blockly.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_MEMBER) || '[]'; code = list + '.reduce(function(x, y) {return x + y;})'; break; case 'MIN': list = Blockly.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_COMMA) || '[]'; code = 'Math.min.apply(null, ' + list + ')'; break; case 'MAX': list = Blockly.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_COMMA) || '[]'; code = 'Math.max.apply(null, ' + list + ')'; break; case 'AVERAGE': // math_median([null,null,1,3]) == 2.0. var functionName = Blockly.OpenSCAD.provideFunction_( 'math_mean', [ 'function ' + Blockly.OpenSCAD.FUNCTION_NAME_PLACEHOLDER_ + '(myList) {', ' return myList.reduce(function(x, y) {return x + y;}) / ' + 'myList.length;', '}']); list = Blockly.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'MEDIAN': // math_median([null,null,1,3]) == 2.0. var functionName = Blockly.OpenSCAD.provideFunction_( 'math_median', [ 'function ' + Blockly.OpenSCAD.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.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.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.OpenSCAD.provideFunction_( 'math_modes', [ 'function ' + Blockly.OpenSCAD.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.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'STD_DEV': var functionName = Blockly.OpenSCAD.provideFunction_( 'math_standard_deviation', [ 'function ' + Blockly.OpenSCAD.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.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; case 'RANDOM': var functionName = Blockly.OpenSCAD.provideFunction_( 'math_random_list', [ 'function ' + Blockly.OpenSCAD.FUNCTION_NAME_PLACEHOLDER_ + '(list) {', ' var x = Math.floor(Math.random() * list.length);', ' return list[x];', '}']); list = Blockly.OpenSCAD.valueToCode(block, 'LIST', Blockly.OpenSCAD.ORDER_NONE) || '[]'; code = functionName + '(' + list + ')'; break; default: throw 'Unknown operator: ' + func; } if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; }; Blockly.OpenSCAD['math_modulo'] = function(block) { // Remainder computation. var argument0 = Blockly.OpenSCAD.valueToCode(block, 'DIVIDEND', Blockly.OpenSCAD.ORDER_MODULUS) || '0'; var argument1 = Blockly.OpenSCAD.valueToCode(block, 'DIVISOR', Blockly.OpenSCAD.ORDER_MODULUS) || '0'; var code = argument0 + ' % ' + argument1; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_MODULUS]; else return ['//' + code, Blockly.OpenSCAD.ORDER_MODULUS]; }; Blockly.OpenSCAD['math_constrain'] = function(block) { // Constrain a number between two limits. // TODO fix for OpenSCAD var argument0 = Blockly.OpenSCAD.valueToCode(block, 'VALUE', Blockly.OpenSCAD.ORDER_COMMA) || '0'; var argument1 = Blockly.OpenSCAD.valueToCode(block, 'LOW', Blockly.OpenSCAD.ORDER_COMMA) || '0'; var argument2 = Blockly.OpenSCAD.valueToCode(block, 'HIGH', Blockly.OpenSCAD.ORDER_COMMA) || 'Infinity'; var code = 'min(max(' + argument0 + ', ' + argument1 + '), ' + argument2 + ')'; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; }; Blockly.OpenSCAD['math_random_int'] = function(block) { // Random integer between [X] and [Y]. var argument0 = Blockly.OpenSCAD.valueToCode(block, 'FROM', Blockly.OpenSCAD.ORDER_COMMA) || '0'; var argument1 = Blockly.OpenSCAD.valueToCode(block, 'TO', Blockly.OpenSCAD.ORDER_COMMA) || '0'; /* var functionName = Blockly.OpenSCAD.provideFunction_( 'math_random_int', [ 'function ' + Blockly.OpenSCAD.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 + ')'; */ var code = 'round(rands(' + argument0 + ',' + argument1 + ',1)[0])'; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; }; Blockly.OpenSCAD['math_random_float'] = function(block) { // Random fraction between 0 and 1. var code = 'rands(0,1,1)[0]'; if (block.getParent()) return [code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; else return ['//' + code, Blockly.OpenSCAD.ORDER_FUNCTION_CALL]; };