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    boysoft2002的专栏:Python 探究“一行代码画爱心”的秘密,去向

    作者:[db:作者] 时间:2021-07-11 12:38

    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)]))
       .......................................................  
       .......................................................  
        .....................................................   
        .....................................................   
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                                  .                             
                                                                
                                                                
    
    >>> 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!!

    cs