[从头学数学] 第53节 年、月、日

剧情提要：
[机器小伟]在[工程师阿伟]的陪同下进入练气期第六层功法的修炼，
这次要修炼的目标是[年、月、日]。

正剧开始：

星历2016年01月20日 13:38:17, 银河系厄尔斯星球中华帝国江南行省。
[工程师阿伟]正在和[机器小伟]一起学习年月日和时间。

星历2016年01月20日 13:40:23, [工程师阿伟]说：在开始之前呢，由于你上一节没有完成
成好[人叫板老师]要求的填充颜色，所以我再给你一个机会，在这里再试一次。[机器小伟]

13:41:29, 小伟很高兴能有另一次的机会，这次，他终于尝试成功了！

阿伟随手画了一张测试图：

小伟给出了下面的解答结果：

虽然并不是十分完美，但小伟依然很开心。

<span style="font-size:18px;">/**
* @usage   标记边界点，填充内部域
* @author  mw
* @date    2016年01月14日  星期四  14:57:23 
* @param
* @return
*
*/
	function signBoundPoint(gap1, gap2) {	
	
		//图片
		var image = new Image();
		image.src = "./1.jpg";
		//只处理这100*100个象素
		var width = 600;
		var height = 400;
		var gap = gap1 ? gap1 : 30;
		var gap2 = gap2 ? gap2 : 10;
		//掩码矩阵 边界
		var maskArray = new Array();
		//掩码矩阵 内部
		var maskArray2 = new Array();
		
		
		var map = new Map();
		var pos = 0;
		
		image.onload = function() {
			plot.drawImage(image);
			var imagedata = plot.getImageData(0, 0, width, height);			

			
			//水平方向找差异
			for (var row = 0; row < height; row++) {
				
				for (var col = 1; col < width; col++) {
					
					//pos最小为1
					pos =row * width  + col;
					if (maskArray[pos] == 1) 
						continue;
						
					R0 = imagedata.data[4 * (pos-1)];				
					R1 = imagedata.data[4 * pos];
					G0 = imagedata.data[4 * (pos-1)+1];
					G1 = imagedata.data[4 * pos+1];
					B0 = imagedata.data[4 * (pos-1)+2]
					B1 = imagedata.data[4 * pos + 2]
					
					
					//简单容差判断
					if (Math.abs(R1-R0) > gap || 
							Math.abs(G1-G0)>gap || 
							Math.abs(B1-B0)>gap) {
						maskArray[pos] = 1;
						
						map.put(row, col);
					
					} else {						
						maskArray[pos] = 0;						
					}
				}
			}
			
			
			//垂直方向找差异
			for (var col = 0; col < width; col++) {
				
				for (var row = 1; row < height; row++) {
					//pos最小为第二行
					pos =row * width  + col;
					
					if (maskArray[pos] == 1) 
						continue;
						
					R0 = imagedata.data[4 * (pos-width)];				
					R1 = imagedata.data[4 * pos];
					G0 = imagedata.data[4 * (pos-width)+1];
					G1 = imagedata.data[4 * pos+1];
					B0 = imagedata.data[4 * (pos-width)+2];
					B1 = imagedata.data[4 * pos + 2];						

					
					//简单容差判断
					if (Math.abs(R1-R0) > gap || 
							Math.abs(G1-G0)>gap || 
							Math.abs(B1-B0)>gap) {
							
						maskArray[pos] = 1;
						
						map.put(row, col);

					} else {
						maskArray[pos] = 0;
					}
				}
			}	
			
			
			map.sort();
			//document.body.appendChild(document.createTextNode(map.print()));	
			
			
			var size = map.size();
			var key = 0, value1 = value2 = 0;
			var valueArray = new Array();
			
			for (var i = 0; i < size; i++) {
				key = map.keys[i];
				valueArray = map.get(key);
				
				var len = valueArray.length;
				var index = 0;
				
				//预判有多少段需填充的线段
				for (var j = 0; j < len; j++) {
					value1 = valueArray[j];
					value2 = valueArray[j+1];
					
					if (value2 - value1 > 5 ) {
						index++;
					}			
				}
				
				//对于奇数段，一般是中间有间隔的空白段
				if (index % 2 == 1) {
					index = 0;

					for (var j = 0; j < len; j++) {
						value1 = valueArray[j];
						value2 = valueArray[j+1];
						
						if (value2 - value1 > 5 ) {
							index++;
							
							if (index % 2 == 1) {
								for (var k = value1; k < value2; k++) {
									pos = key * width + k;
									if (maskArray[pos] != 1) {
										maskArray2[pos] = 1;
									}
								}
							}			
						}
											
					}
				}
				//对于偶数段，应该全部填充
				else {
					value1 = valueArray[0];
					value2 = valueArray[len-1];
					for (var k = value1; k < value2; k++) {
						pos = key * width + k;
						if (maskArray[pos] != 1) {
							maskArray2[pos] = 1;
						}
					}
				}
					
			}
			
			plot.translate(600, 0);
			
			for (var col = 0; col < width; col++) {
				for (var row = 0; row < height; row++) {
					pos = row * width  + col;
					//颜值突变点，一般为边界
					if (maskArray[pos] == 1) {
						 imagedata.data[4 * pos] = 255;
						 imagedata.data[4 * pos+1] = 0;
						 imagedata.data[4 * pos+2] = 255;
						
					} 
					else if (maskArray2[pos] == 1) {
						 //颜值相近点，一般为内部
						 imagedata.data[4 * pos] = 0;
						 imagedata.data[4 * pos+1] = 255;
						 imagedata.data[4 * pos+2] = 0;						
					
					}
					else {
						/*
						 //作为背景处理
						 imagedata.data[4 * pos] = 255;
						 imagedata.data[4 * pos+1] = 255;
						 imagedata.data[4 * pos+2] = 255;*/
					}
				}
			}
			
			plot.putImageData(imagedata, 0, 0);
			plot.drawImage(image);
	}	
}</span>

星历2016年01月20日 13:45:39, [工程师阿伟]说：现在可以进行这一部分功法的学习了。[机器小伟]。

由于功法是[人叫板老师]前几年写的，所以日期和时间都已经过去好久了。

现在可是2016年了，所以小伟就去拿来了2016年的日历：

小伟是怎样拿到这份日历的呢？是这样的：

首先：

<span style="font-size:18px;">def tmp():
    import calendar;
    year = 2016;
    for month in range(1, 13):
        print(calendar.monthcalendar(year, month));
    return;

[[0, 0, 0, 0, 1, 2, 3], [4, 5, 6, 7, 8, 9, 10], [11, 12, 13, 14, 15, 16, 17], [18, 19, 20, 21, 22, 23, 24], [25, 26, 27, 28, 29, 30, 31]]
[[1, 2, 3, 4, 5, 6, 7], [8, 9, 10, 11, 12, 13, 14], [15, 16, 17, 18, 19, 20, 21], [22, 23, 24, 25, 26, 27, 28], [29, 0, 0, 0, 0, 0, 0]]
[[0, 1, 2, 3, 4, 5, 6], [7, 8, 9, 10, 11, 12, 13], [14, 15, 16, 17, 18, 19, 20], [21, 22, 23, 24, 25, 26, 27], [28, 29, 30, 31, 0, 0, 0]]
[[0, 0, 0, 0, 1, 2, 3], [4, 5, 6, 7, 8, 9, 10], [11, 12, 13, 14, 15, 16, 17], [18, 19, 20, 21, 22, 23, 24], [25, 26, 27, 28, 29, 30, 0]]
[[0, 0, 0, 0, 0, 0, 1], [2, 3, 4, 5, 6, 7, 8], [9, 10, 11, 12, 13, 14, 15], [16, 17, 18, 19, 20, 21, 22], [23, 24, 25, 26, 27, 28, 29], [30, 31, 0, 0, 0, 0, 0]]
[[0, 0, 1, 2, 3, 4, 5], [6, 7, 8, 9, 10, 11, 12], [13, 14, 15, 16, 17, 18, 19], [20, 21, 22, 23, 24, 25, 26], [27, 28, 29, 30, 0, 0, 0]]
[[0, 0, 0, 0, 1, 2, 3], [4, 5, 6, 7, 8, 9, 10], [11, 12, 13, 14, 15, 16, 17], [18, 19, 20, 21, 22, 23, 24], [25, 26, 27, 28, 29, 30, 31]]
[[1, 2, 3, 4, 5, 6, 7], [8, 9, 10, 11, 12, 13, 14], [15, 16, 17, 18, 19, 20, 21], [22, 23, 24, 25, 26, 27, 28], [29, 30, 31, 0, 0, 0, 0]]
[[0, 0, 0, 1, 2, 3, 4], [5, 6, 7, 8, 9, 10, 11], [12, 13, 14, 15, 16, 17, 18], [19, 20, 21, 22, 23, 24, 25], [26, 27, 28, 29, 30, 0, 0]]
[[0, 0, 0, 0, 0, 1, 2], [3, 4, 5, 6, 7, 8, 9], [10, 11, 12, 13, 14, 15, 16], [17, 18, 19, 20, 21, 22, 23], [24, 25, 26, 27, 28, 29, 30], [31, 0, 0, 0, 0, 0, 0]]
[[0, 1, 2, 3, 4, 5, 6], [7, 8, 9, 10, 11, 12, 13], [14, 15, 16, 17, 18, 19, 20], [21, 22, 23, 24, 25, 26, 27], [28, 29, 30, 0, 0, 0, 0]]
[[0, 0, 0, 1, 2, 3, 4], [5, 6, 7, 8, 9, 10, 11], [12, 13, 14, 15, 16, 17, 18], [19, 20, 21, 22, 23, 24, 25], [26, 27, 28, 29, 30, 31, 0]]</span>

然后：

<span style="font-size:18px;">/**
* @usage   2016年日历
* @author  mw
* @date    2016年01月20日  星期三  13:59:32 
* @param
* @return
*
*/
function myDraw() {  
    var config = new PlotConfiguration();  
    config.init();  
    config.setPreference(); 
	//config.setSector(1,1,1,1);
 
    //config.axis2D(0, 0, 180);  	
	
	var dayOfMonth = 
//1
[[[0, 0, 0, 0, 1, 2, 3], 
[4, 5, 6, 7, 8, 9, 10], 
[11, 12, 13, 14, 15, 16, 17], 
[18, 19, 20, 21, 22, 23, 24], 
[25, 26, 27, 28, 29, 30, 31]],
//2	
[[1, 2, 3, 4, 5, 6, 7], 
[8, 9, 10, 11, 12, 13, 14], 
[15, 16, 17, 18, 19, 20, 21], 
[22, 23, 24, 25, 26, 27, 28], 
[29, 0, 0, 0, 0, 0, 0]],
//3
[[0, 1, 2, 3, 4, 5, 6], 
[7, 8, 9, 10, 11, 12, 13], 
[14, 15, 16, 17, 18, 19, 20], 
[21, 22, 23, 24, 25, 26, 27], 
[28, 29, 30, 31, 0, 0, 0]],
//4
[[0, 0, 0, 0, 1, 2, 3], 
[4, 5, 6, 7, 8, 9, 10], 
[11, 12, 13, 14, 15, 16, 17], 
[18, 19, 20, 21, 22, 23, 24], 
[25, 26, 27, 28, 29, 30, 0]],
//5
[[0, 0, 0, 0, 0, 0, 1], 
[2, 3, 4, 5, 6, 7, 8], 
[9, 10, 11, 12, 13, 14, 15], 
[16, 17, 18, 19, 20, 21, 22], 
[23, 24, 25, 26, 27, 28, 29], 
[30, 31, 0, 0, 0, 0, 0]],
//6
[[0, 0, 1, 2, 3, 4, 5], 
[6, 7, 8, 9, 10, 11, 12], 
[13, 14, 15, 16, 17, 18, 19], 
[20, 21, 22, 23, 24, 25, 26], 
[27, 28, 29, 30, 0, 0, 0]],
//7
[[0, 0, 0, 0, 1, 2, 3], 
[4, 5, 6, 7, 8, 9, 10], 
[11, 12, 13, 14, 15, 16, 17], 
[18, 19, 20, 21, 22, 23, 24], 
[25, 26, 27, 28, 29, 30, 31]],
//8
[[1, 2, 3, 4, 5, 6, 7], 
[8, 9, 10, 11, 12, 13, 14], 
[15, 16, 17, 18, 19, 20, 21], 
[22, 23, 24, 25, 26, 27, 28], 
[29, 30, 31, 0, 0, 0, 0]],
//9
[[0, 0, 0, 1, 2, 3, 4], 
[5, 6, 7, 8, 9, 10, 11], 
[12, 13, 14, 15, 16, 17, 18], 
[19, 20, 21, 22, 23, 24, 25],
 [26, 27, 28, 29, 30, 0, 0]],
//10
[[0, 0, 0, 0, 0, 1, 2], 
[3, 4, 5, 6, 7, 8, 9], 
[10, 11, 12, 13, 14, 15, 16],
 [17, 18, 19, 20, 21, 22, 23], 
 [24, 25, 26, 27, 28, 29, 30],
 [31, 0, 0, 0, 0, 0, 0]],
//11
[[0, 1, 2, 3, 4, 5, 6],
 [7, 8, 9, 10, 11, 12, 13], 
 [14, 15, 16, 17, 18, 19, 20],
 [21, 22, 23, 24, 25, 26, 27],
 [28, 29, 30, 0, 0, 0, 0]],
//12
[[0, 0, 0, 1, 2, 3, 4],
 [5, 6, 7, 8, 9, 10, 11], 
 [12, 13, 14, 15, 16, 17, 18],
 [19, 20, 21, 22, 23, 24, 25], 
 [26, 27, 28, 29, 30, 31, 0]]];

	

	var text = ['星期一', '星期二', '星期三', '星期四', '星期五', '星期六', '星期日'];
	
	var weeks = 0;
	var r = 25;
	var x0 = (600-20*r)/2, y0 = 20;
	
	for (var m = 10; m < 12; m++) {
		plot.save();	
		plot.setTextAlign('center');
		plot.fillText('2016 年 '+(m+1).toFixed(0)+' 月', 300, y0, 200);
		
		y0 += r;
		weeks = dayOfMonth[m].length;
		for (var j = 0; j < 7; j++) {
			if (j < 5) {
				plot.setFillStyle('black');
				
			}
			else {
				plot.setFillStyle('red');
			}
			plot.fillText(text[j], x0 + j * 3 * r, y0, 100);
		}
		
		y0 +=0.5 * r;
		
		for (var i = 0; i < weeks; i++) {
			y0 += r;
			for (var j = 0; j < 7; j++) {
				if (dayOfMonth[m][i][j] != 0) {
					if (j < 5) {
						plot.setFillStyle('black');
						
					}
					else {
						plot.setFillStyle('red');
					}				
					
					plot.fillText(dayOfMonth[m][i][j].toFixed(0), x0 + j * 3 * r, y0, 100);
				}
			}
		}
		
		plot.restore();	
		
		if (weeks > 5) {
			y0 += r;
		}
		else {
			y0 += 2 * r;
		}
	}

}</span>

这样就完成了。

当然，也可以这样来做：

<span style="font-size:18px;"> c = calendar.TextCalendar();
 >>> c.pryear(2016);
                                  2016

      January                   February                   March
Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su
             1  2  3       1  2  3  4  5  6  7          1  2  3  4  5  6
 4  5  6  7  8  9 10       8  9 10 11 12 13 14       7  8  9 10 11 12 13
11 12 13 14 15 16 17      15 16 17 18 19 20 21      14 15 16 17 18 19 20
18 19 20 21 22 23 24      22 23 24 25 26 27 28      21 22 23 24 25 26 27
25 26 27 28 29 30 31      29                        28 29 30 31

       April                      May                       June
Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su
             1  2  3                         1             1  2  3  4  5
 4  5  6  7  8  9 10       2  3  4  5  6  7  8       6  7  8  9 10 11 12
11 12 13 14 15 16 17       9 10 11 12 13 14 15      13 14 15 16 17 18 19
18 19 20 21 22 23 24      16 17 18 19 20 21 22      20 21 22 23 24 25 26
25 26 27 28 29 30         23 24 25 26 27 28 29      27 28 29 30
                          30 31

        July                     August                  September
Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su
             1  2  3       1  2  3  4  5  6  7                1  2  3  4
 4  5  6  7  8  9 10       8  9 10 11 12 13 14       5  6  7  8  9 10 11
11 12 13 14 15 16 17      15 16 17 18 19 20 21      12 13 14 15 16 17 18
18 19 20 21 22 23 24      22 23 24 25 26 27 28      19 20 21 22 23 24 25
25 26 27 28 29 30 31      29 30 31                  26 27 28 29 30

      October                   November                  December
Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su      Mo Tu We Th Fr Sa Su
                1  2          1  2  3  4  5  6                1  2  3  4
 3  4  5  6  7  8  9       7  8  9 10 11 12 13       5  6  7  8  9 10 11
10 11 12 13 14 15 16      14 15 16 17 18 19 20      12 13 14 15 16 17 18
17 18 19 20 21 22 23      21 22 23 24 25 26 27      19 20 21 22 23 24 25
24 25 26 27 28 29 30      28 29 30                  26 27 28 29 30 31
31
</span>

本节到此结束，欲知后事如何，请看下回分解。