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Python 探究“一行代码画爱心”的秘密,去向心爱的人表白吧

Python代码 探究 一行 秘密 表白 爱心
2023-09-14 09:01:28 时间

今天7月8号,恰逢儿子生日,我来画个爱心向他表达一下爱意吧:

>>> print('\n'.join([''.join([('ILoveYangCheng'[(x-y)%len('ILoveYangCheng')] if((x*0.05)**2+(y*0.1)**2-1)**3-(x*0.05)**2*(y*0.1)**3<=0 else' ') for x in range(-30,30)]) for y in range(13,-12,-1)]))
                                                            
                oveYangCh           gChengILo               
            gILoveYangChengIL   YangChengILoveYan           
          ngILoveYangChengILoveYangChengILoveYangCh         
         ngILoveYangChengILoveYangChengILoveYangChen        
        ngILoveYangChengILoveYangChengILoveYangChengI       
        gILoveYangChengILoveYangChengILoveYangChengIL       
        ILoveYangChengILoveYangChengILoveYangChengILo       
        LoveYangChengILoveYangChengILoveYangChengILov       
        oveYangChengILoveYangChengILoveYangChengILove       
        veYangChengILoveYangChengILoveYangChengILoveY       
         YangChengILoveYangChengILoveYangChengILoveY        
          ngChengILoveYangChengILoveYangChengILoveY         
          gChengILoveYangChengILoveYangChengILoveYa         
            engILoveYangChengILoveYangChengILoveY           
             gILoveYangChengILoveYangChengILoveY            
              LoveYangChengILoveYangChengILoveY             
                eYangChengILoveYangChengILove               
                  ngChengILoveYangChengILov                 
                    hengILoveYangChengILo                   
                       ILoveYangChengI                      
                          eYangChen                         
                             gCh                            
                              h                             
                                                            
>>> 

网上流传了很多类似这种“一行代码画爱心”的文章,但大多数都没作深入研究,有的甚至是收费栏目中还有改错代码的,比如 %‘字串实际长度’ 都直接‘%8’。下面,我来对此代码作点解析,告诉小白们爱心到底是怎么画出来的?


探究一:去掉字符串,全部用'.'代替

>>> print('\n'.join([''.join([('.' if((x*0.05)**2+(y*0.1)**2-1)**3-(x*0.05)**2*(y*0.1)**3<=0 else' ') for x in range(-30,30)]) for y in range(13,-12,-1)]))
                                                            
                .........           .........               
            .................   .................           
          .........................................         
         ...........................................        
        .............................................       
        .............................................       
        .............................................       
        .............................................       
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              .................................             
                .............................               
                  .........................                 
                    .....................                   
                       ...............                      
                          .........                         
                             ...                            
                              .                             
                                                            
>>> 

探究二:其实就是心形线的函数式在起作用,换成直线看效果

>>> print('\n'.join([''.join([('.' if y==x+1 else' ') for x in range(-30,30)]) for y in range(15,-15,-1)]))
                                            .               
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>>> # 直线方程 y = x + 1

直线方程 y = x+1 斜率1的倾角看上去不是45度,是因为x,y的长度比不是1:1。

方程式换成不等式 y > = x + 1 图像就成为一个区域,换个抛物线试试效果:

>>> print('\n'.join([''.join([('.' if y>=0.035*x**2-12 else' ') for x in range(-30,30)]) for y in range(15,-15,-1)]))
   .......................................................  
   .......................................................  
    .....................................................   
    .....................................................   
     ...................................................    
     ...................................................    
      .................................................     
       ...............................................      
       ...............................................      
        .............................................       
        .............................................       
         ...........................................        
          .........................................         
           .......................................          
           .......................................          
            .....................................           
             ...................................            
              .................................             
              .................................             
               ...............................              
                .............................               
                 ...........................                
                   .......................                  
                    .....................                   
                     ...................                    
                       ...............                      
                         ...........                        
                              .                             
                                                            
                                                            

>>> 抛物线内部区域: y >= 0.035 x² - 12

探究三:换个心形方程式

网上随便搜索了一张心形方程式的图片:

方程x,y的取值范围有点小,可以先放大10倍: 0.01*x*x+(0.1*y-pow(0.01*x*x,1/3))**2-1=0

由于纵横比不为1,再适当调整各个系数的大小;还有我们的坐标系是整数点,想和直线方程一样显示边界点不太现实,所以只能以 f(x,y)<=0的形式显示图形区域。若<=换成>=,则相当于图章的阳刻和阴刻的区别。

>>> print('\n'.join([''.join([('HannYang'[(x+y+78)%8] if 0.003*x*x+(0.075*y-pow(0.0015*x*x,1/3))**2-0.6<=0 else' ') for x in range(-30,30)]) for y in range(15,-12,-1)]))
                                                            
                   annYang         annYang                  
                  gHannYangH     ngHannYang                 
                 angHannYangH   YangHannYang                
                 YangHannYangH nnYangHannYan                
                nnYangHannYangHannYangHannYan               
                annYangHannYangHannYangHannYa               
                HannYangHannYangHannYangHannY               
                 HannYangHannYangHannYangHan                
                 gHannYangHannYangHannYangHa                
                 ngHannYangHannYangHannYangH                
                  ngHannYangHannYangHannYan                 
                  angHannYangHannYangHannYa                 
                   angHannYangHannYangHann                  
                    angHannYangHannYangHa                   
                    YangHannYangHannYangH                   
                     YangHannYangHannYan                    
                      YangHannYangHannY                     
                       YangHannYangHan                      
                        YangHannYangH                       
                         YangHannYan                        
                          YangHannY                         
                            angHa                           
                             ang                            
                              a                             
                              Y                             
                                                            
>>> #字符串的索引号表达式也可以修改:str[(表达式)&len(str)]
print('\n'.join([''.join([('HannYang'[x%8-2] if 0.003*x*x+(0.075*y-pow(0.0015*x*x,1/3))**2-0.6>=0 else' ') for x in range(-30,30)]) for y in range(16,-12,-1)]))
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
HannYangHannYangHan       nnYangHan       nnYangHannYangHann
HannYangHannYangHa          YangH          nYangHannYangHann
HannYangHannYangH            ang            YangHannYangHann
HannYangHannYangH             n             YangHannYangHann
HannYangHannYang                             angHannYangHann
HannYangHannYang                             angHannYangHann
HannYangHannYang                             angHannYangHann
HannYangHannYangH                           YangHannYangHann
HannYangHannYangH                           YangHannYangHann
HannYangHannYangH                           YangHannYangHann
HannYangHannYangHa                         nYangHannYangHann
HannYangHannYangHa                         nYangHannYangHann
HannYangHannYangHan                       nnYangHannYangHann
HannYangHannYangHann                     annYangHannYangHann
HannYangHannYangHann                     annYangHannYangHann
HannYangHannYangHannY                   HannYangHannYangHann
HannYangHannYangHannYa                 gHannYangHannYangHann
HannYangHannYangHannYan               ngHannYangHannYangHann
HannYangHannYangHannYang             angHannYangHannYangHann
HannYangHannYangHannYangH           YangHannYangHannYangHann
HannYangHannYangHannYangHa         nYangHannYangHannYangHann
HannYangHannYangHannYangHann     annYangHannYangHannYangHann
HannYangHannYangHannYangHannY   HannYangHannYangHannYangHann
HannYangHannYangHannYangHannYa gHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYa gHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
>>> 

探究四:字符串换成中文汉字
需要把 else 后的填充空格换成2个半角空格或1个全角空格

>>> print('\n'.join([''.join([('我爱杨程'[(x-y)%4-3] if((x*0.08)**2+(y*0.1)**2-1)**3-(x*0.08)**2*(y*0.1)**3<=0 else ' ') for x in range(-20,20)]) for y in range(13,-12,-1)]))
                                        
           我爱杨程我爱       爱杨程我爱杨          
         程我爱杨程我爱杨程我   我爱杨程我爱杨程我爱        
        程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程       
       程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱      
       我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨      
      我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我     
      爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱     
      杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨     
      程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程     
       爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程      
       杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我      
       程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱      
        爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱       
         程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱        
         我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨        
          杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨         
           我爱杨程我爱杨程我爱杨程我爱杨程我爱杨          
             程我爱杨程我爱杨程我爱杨程我爱            
              爱杨程我爱杨程我爱杨程我爱             
                我爱杨程我爱杨程我               
                  程我爱杨程                 
                   爱杨程                  
                    程                   
                                        
>>> 

如此,掌握了原理,就去网上找各种方程式来创作你自己的图形吧!大胆去向心爱的人表白吧!!