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開始行:
* 関数体操 [#g78bec5f]
&ref(https://pbs.twimg.com/media/DWXPRDdVAAAU38j.jpg:larg...
* Links [#v1d57db0]
- [[行列計算:http://matrixmultiplication.xyz/]]
- [[Microsoft Mathematics:https://www.microsoft.com/ja-jp...
* WolframAlpha [#r19b781e]
http://www.wolframalpha.com/
* 関数グラフアート全国コンテスト [#m0e3c4d4]
http://www.ge.fukui-nct.ac.jp/~math/graph_art/
* 読めば必ずわかる分散分析の基礎 [#b353c903]
http://elsur.jpn.org/resource/anova.pdf
* パーリンノイズ [#r40568ee]
http://mrl.nyu.edu/~perlin/noise/
// JAVA REFERENCE IMPLEMENTATION OF IMPROVED NOISE - COP...
public final class ImprovedNoise {
static public double noise(double x, double y, double...
int X = (int)Math.floor(x) & 255, ...
Y = (int)Math.floor(y) & 255, // CON...
Z = (int)Math.floor(z) & 255;
x -= Math.floor(x); ...
y -= Math.floor(y); ...
z -= Math.floor(z);
double u = fade(x), ...
v = fade(y), // FOR...
w = fade(z);
int A = p[X ]+Y, AA = p[A]+Z, AB = p[A+1]+Z, ...
B = p[X+1]+Y, BA = p[B]+Z, BB = p[B+1]+Z; // THE...
return lerp(w, lerp(v, lerp(u, grad(p[AA ], x , ...
grad(p[BA ], x-1, y , z )), // BLENDED
lerp(u, grad(p[AB ], x , y-1, z ), // RESULTS
grad(p[BB ], x-1, y-1, z ))),// FROM 8
lerp(v, lerp(u, grad(p[AA+1], x , y , z-1 ), /...
grad(p[BA+1], x-1, y , z-1 )), // OF CUBE
lerp(u, grad(p[AB+1], x , y-1, z-1 ),
grad(p[BB+1], x-1, y-1, z-1 ))));
}
static double fade(double t) { return t * t * t * (t ...
static double lerp(double t, double a, double b) { re...
static double grad(int hash, double x, double y, doub...
int h = hash & 15; // CONVERT...
double u = h<8 ? x : y, // INTO 12...
v = h<4 ? y : h==12||h==14 ? x : z;
return ((h&1) == 0 ? u : -u) + ((h&2) == 0 ? v : -...
}
static final int p[] = new int[512], permutation[] = ...
131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,14...
190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,...
88,237,149,56,87,174,20,125,136,171,168, 68,175,74,16...
77,146,158,231,83,111,229,122,60,211,133,230,220,105,...
102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,...
135,130,116,188,159,86,164,100,109,198,173,186, 3,64,...
5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,...
223,183,170,213,119,248,152, 2,44,154,163, 70,221,153...
129,22,39,253, 19,98,108,110,79,113,224,232,178,185, ...
251,34,242,193,238,210,144,12,191,179,162,241, 81,51,...
49,192,214, 31,181,199,106,157,184, 84,204,176,115,12...
138,236,205,93,222,114,67,29,24,72,243,141,128,195,78...
};
static { for (int i=0; i < 256 ; i++) p[256+i] = p[i]...
}
* マンデルブロ集合 [#w81c919f]
Z(n+1) = Z(n) * Z(n) + c
ただし c = a + ib
* ゲルストナー波 [#h9ca4d1d]
http://www.fun.ac.jp/~sisp/old_report/2008/08/document08_...
* Verlet(ベルレ)積分 [#bb0112b6]
ある瞬間の位置をr0、次の瞬間の位置をr1として、さらに次の...
r2 = 2 * r1 - r0 + at
* フィボナッチ数列 [#f53bb701]
1 1 2 3 5 8 13 21 34 55 89 144 233 377
終了行:
* 関数体操 [#g78bec5f]
&ref(https://pbs.twimg.com/media/DWXPRDdVAAAU38j.jpg:larg...
* Links [#v1d57db0]
- [[行列計算:http://matrixmultiplication.xyz/]]
- [[Microsoft Mathematics:https://www.microsoft.com/ja-jp...
* WolframAlpha [#r19b781e]
http://www.wolframalpha.com/
* 関数グラフアート全国コンテスト [#m0e3c4d4]
http://www.ge.fukui-nct.ac.jp/~math/graph_art/
* 読めば必ずわかる分散分析の基礎 [#b353c903]
http://elsur.jpn.org/resource/anova.pdf
* パーリンノイズ [#r40568ee]
http://mrl.nyu.edu/~perlin/noise/
// JAVA REFERENCE IMPLEMENTATION OF IMPROVED NOISE - COP...
public final class ImprovedNoise {
static public double noise(double x, double y, double...
int X = (int)Math.floor(x) & 255, ...
Y = (int)Math.floor(y) & 255, // CON...
Z = (int)Math.floor(z) & 255;
x -= Math.floor(x); ...
y -= Math.floor(y); ...
z -= Math.floor(z);
double u = fade(x), ...
v = fade(y), // FOR...
w = fade(z);
int A = p[X ]+Y, AA = p[A]+Z, AB = p[A+1]+Z, ...
B = p[X+1]+Y, BA = p[B]+Z, BB = p[B+1]+Z; // THE...
return lerp(w, lerp(v, lerp(u, grad(p[AA ], x , ...
grad(p[BA ], x-1, y , z )), // BLENDED
lerp(u, grad(p[AB ], x , y-1, z ), // RESULTS
grad(p[BB ], x-1, y-1, z ))),// FROM 8
lerp(v, lerp(u, grad(p[AA+1], x , y , z-1 ), /...
grad(p[BA+1], x-1, y , z-1 )), // OF CUBE
lerp(u, grad(p[AB+1], x , y-1, z-1 ),
grad(p[BB+1], x-1, y-1, z-1 ))));
}
static double fade(double t) { return t * t * t * (t ...
static double lerp(double t, double a, double b) { re...
static double grad(int hash, double x, double y, doub...
int h = hash & 15; // CONVERT...
double u = h<8 ? x : y, // INTO 12...
v = h<4 ? y : h==12||h==14 ? x : z;
return ((h&1) == 0 ? u : -u) + ((h&2) == 0 ? v : -...
}
static final int p[] = new int[512], permutation[] = ...
131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,14...
190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,...
88,237,149,56,87,174,20,125,136,171,168, 68,175,74,16...
77,146,158,231,83,111,229,122,60,211,133,230,220,105,...
102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,...
135,130,116,188,159,86,164,100,109,198,173,186, 3,64,...
5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,...
223,183,170,213,119,248,152, 2,44,154,163, 70,221,153...
129,22,39,253, 19,98,108,110,79,113,224,232,178,185, ...
251,34,242,193,238,210,144,12,191,179,162,241, 81,51,...
49,192,214, 31,181,199,106,157,184, 84,204,176,115,12...
138,236,205,93,222,114,67,29,24,72,243,141,128,195,78...
};
static { for (int i=0; i < 256 ; i++) p[256+i] = p[i]...
}
* マンデルブロ集合 [#w81c919f]
Z(n+1) = Z(n) * Z(n) + c
ただし c = a + ib
* ゲルストナー波 [#h9ca4d1d]
http://www.fun.ac.jp/~sisp/old_report/2008/08/document08_...
* Verlet(ベルレ)積分 [#bb0112b6]
ある瞬間の位置をr0、次の瞬間の位置をr1として、さらに次の...
r2 = 2 * r1 - r0 + at
* フィボナッチ数列 [#f53bb701]
1 1 2 3 5 8 13 21 34 55 89 144 233 377
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