42 lines
1.0 KiB
MiniZinc
42 lines
1.0 KiB
MiniZinc
int: w = 4;
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int: h = 4;
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% arraydec
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set of int: HEIGHT = 0..h;
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set of int: CHEIGHT = 1..h-1;
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set of int: WIDTH = 0..w;
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set of int: CWIDTH = 1..w-1;
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array[HEIGHT,WIDTH] of var float: t; % 在点（i,j）处的温度
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var float: left; % 左侧温度
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var float: right; % 右侧温度
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var float: top; % 顶部温度
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var float: bottom; % 底部温度
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% 拉普拉斯方程：每一个内部点温度是它相邻点的平均值
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constraint forall(i in CHEIGHT, j in CWIDTH)(
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4.0*t[i,j] = t[i-1,j] + t[i,j-1] + t[i+1,j] + t[i,j+1]);
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% sides
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% 边约束
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constraint forall(i in CHEIGHT)(t[i,0] = left);
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constraint forall(i in CHEIGHT)(t[i,w] = right);
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constraint forall(j in CWIDTH)(t[0,j] = top);
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constraint forall(j in CWIDTH)(t[h,j] = bottom);
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% 角约束
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constraint t[0,0]=0.0;
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constraint t[0,w]=0.0;
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constraint t[h,0]=0.0;
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constraint t[h,w]=0.0;
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left = 0.0;
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right = 0.0;
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top = 100.0;
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bottom = 0.0;
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solve satisfy;
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output [ show_float(6, 2, t[i,j]) ++
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if j == w then "\n" else " " endif |
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i in HEIGHT, j in WIDTH
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];
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