驚呆了!C語言也能畫小豬佩奇?【附源碼】
- 2020 年 4 月 2 日
- 筆記
小豬佩奇那麼火,那麼我們接下來就分享下如何用 C 語言畫小豬佩奇
使用帶符號距離場(signed distance field, SDF)表示圓形:

沿用這個方法表示形狀,但這次我們想利用 ASCII 字符|/=畫出形狀的外框,並填充內部,類似這樣:
===== //.....\ ||.......|| \.....// =====
SDF 的梯度(gradient)代表 SDF 變化最大的方向,可用這個方向去決定用哪一個字符。

我們通過差分求 SDF 的梯度近似值,然後用atan2()求出梯度的角度:

用 C 語言簡單實現,在畫布中畫一個半徑 0.8 並帶有 0.1 寛度外框的圓形:

#include #include #define T doubleT f(T x, T y) { return sqrt(x * x + y * y) - 0.8f;}char outline(T x, T y) { T delta = 0.001; if (fabs(f(x, y)) < 0.05) { T dx = f(x + delta, y) - f(x - delta, y); T dy = f(x, y + delta) - f(x, y - delta); return "|/=\|/=\|"[(int)((atan2(dy, dx) / 6.2831853072 + 0.5) * 8 + 0.5)]; } else if (f(x, y) < 0) return '.'; else return ' ';}int main() { for (T y = -1; y < 1; y += 0.05, putchar('n')) for (T x = -1; x < 1; x += 0.025) putchar(outline(x, y));}
代碼可以左右移動!▲

然後,我們就可以畫多個圓形,把它們適當地旋轉和縮放,用構造實體幾何比它們組合起來,那麼用 19 行代碼就可以畫出小豬佩奇了:
代碼可以左右移動!▼
// ASCII Peppa Pig by Milo Yip#include #include #include #define T double T c(T x,T y,T r){return sqrt(x*x+y*y)-r;} T u(T x,T y,T t){return x*cos(t)+y*sin(t);} T v(T x,T y,T t){return y*cos(t)-x*sin(t);} T fa(T x,T y){return fmin(c(x,y,0.5),c(x*0.47+0.15,y+0.25,0.3));} T no(T x,T y){return c(x*1.2+0.97,y+0.25,0.2);} T nh(T x,T y){return fmin(c(x+0.9,y+0.25,0.03),c(x+0.75,y+0.25,0.03));} T ea(T x,T y){return fmin(c(x*1.7+0.3,y+0.7,0.15),c(u(x,y,0.25)*1.7,v(x,y,0.25)+0.65,0.15));} T ey(T x,T y){return fmin(c(x+0.4,y+0.35,0.1),c(x+0.15,y+0.35,0.1));} T pu(T x,T y){return fmin(c(x+0.38,y+0.33,0.03),c(x+0.13,y+0.33,0.03));} T fr(T x,T y){return c(x*1.1-0.3,y+0.1,0.15);} T mo(T x,T y){return fmax(c(x+0.15,y-0.05,0.2),-c(x+0.15,y,0.25));} T o(T x,T y,T(*f)(T,T),T i){T r=f(x,y);return fabs(r)<0.02?(atan2(f(x,y+1e-3)-r,f(x+1e-3,y)-r)+0.3)*1.273+6.5:r<0?i:0;} T s(T x,T y,T(*f)(T,T),T i){return f(x,y)<0?i:0;} T f(T x,T y){return o(x,y,no,1)?fmax(o(x,y,no,1),s(x,y,nh,12)):fmax(o(x,y,fa,1),fmax(o(x,y,ey,11),fmax(o(x,y,ea,1),fmax(o(x,y,mo,1),fmax(s(x,y,fr,13),s(x,y,pu,12))))));} int main(int a,char**b){for(T y=-1,s=a>1?strtod(b[1],0):1;y<0.6;y+=0.05/s,putchar('n'))for(T x=-1;x<0.6;x+=0.025/s)putchar(" .|/=\|/=\| @!"[(int)f(u(x,y,0.3),v(x,y,0.3))]);}

2倍:

4倍:

8倍:

怎麼樣?這下會了嗎?你還可以嘗試着讓這隻佩奇動起來喲!