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  1. class Smooth {
  2.     public static void main(String[] args) {
  3.         testar(0.05, 10, 40, 50, 20, 35);
  4.         testar(0.34, 22, 18);
  5.         testar(0.25, 260, 350, 430, 280, 640, 650, 240, 430, 320, 585, 385, 450, 760, 690, 400);
  6.         testar(null, 128, 180, 96, 108, 130, 150, 165, 139, 140, 165, 290, 190, 210, 240, 235);
  7.         testar(null, 36, 48, 26, 31, 57, 42, 26, 23, 18, 25, 18, 36, 41, 18, 22);
  8.     }
  9.  
  10.     private static void testar(Double a, double... d) {
  11.     	System.out.println("Valores: " + java.util.Arrays.toString(d));
  12.     	if (a != null) {
  13.             double r = smooth(a, d);
  14.             System.out.println("Taxa: " + a + " - resultado: " + r);
  15.             double b = smoothRatio(r, d);
  16.             System.out.println("Taxa (prova real): " + b);
  17.     	}
  18.         double p = bestSmooth(d);
  19.         System.out.println("Melhor taxa: " + p + " - resultado: " + smooth(p, d));
  20.         System.out.println();
  21.     }
  22.  
  23.     public static double smooth(double a, double... d) {
  24.         double soma = 0.0;
  25.         double potencia = 1.0;
  26.         for (int i = d.length - 1; i >= 0; i--) {
  27.             soma += a * potencia * d[i];
  28.             potencia *= 1.0 - a;
  29.         }
  30.         return soma;
  31.     }
  32.  
  33.     public static double bestSmooth(double... d) {
  34.         double v1 = 0.0;
  35.         double v5 = 1.0;
  36.         while (true) {
  37.             double v3 = (v1 + v5) / 2;
  38.             if (v3 == v1 || v3 == v5) return v3;
  39.             double s1 = smooth(v1, d);
  40.             double s3 = smooth(v3, d);
  41.             double s5 = smooth(v5, d);
  42.             if (s5 >= s3 && s5 >= s1) {
  43.                 v1 = v3;
  44.             } else if (s1 >= s3 && s1 >= s5) {
  45.                 v5 = v3;
  46.             } else {
  47.                 double v2 = (v1 + v3) / 2;
  48.                 double v4 = (v3 + v5) / 2;
  49.                 double s2 = smooth(v2, d);
  50.                 double s4 = smooth(v4, d);
  51.                 if (s4 >= s3 && s4 >= s5) {
  52.                     v1 = v3;
  53.                     v3 = v4;
  54.                 } else if (s2 >= s3 && s2 >= s1) {
  55.                     v5 = v3;
  56.                     v3 = v2;
  57.                 } else if (s3 >= s2 && s3 >= s4) {
  58.                     v1 = v2;
  59.                     v5 = v4;
  60.                 }
  61.             }
  62.         }
  63.     }
  64.  
  65.     private static boolean ordered(double a, double b, double c) {
  66.         return (a <= b && b <= c) || (c <= b && b <= a);
  67.     }
  68.  
  69.     public static double smoothRatio(double total, double... d) {
  70.         double minA = 0.0;
  71.         double maxA = bestSmooth(d);
  72.         double smoothMin = smooth(minA, d);
  73.         double smoothMax = smooth(maxA, d);
  74.         if (!ordered(smoothMin, total, smoothMax)) {
  75.             throw new IllegalArgumentException(total + " " + smoothMin + " " + smoothMax + " " + minA + " " + maxA);
  76.         }
  77.  
  78.         while (true) {
  79.             if (total == smoothMin) return minA;
  80.             if (total == smoothMax) return maxA;
  81.             double mid = minA + (maxA - minA) / 2;
  82.             if (mid == minA) return smoothMin;
  83.             if (mid == maxA) return smoothMax;
  84.             double smoothMid = smooth(mid, d);
  85.             if (ordered(smoothMid, total, smoothMax)) {
  86.                 minA = mid;
  87.                 smoothMin = smoothMid;
  88.             } else if (ordered(smoothMid, total, smoothMin)) {
  89.                 maxA = mid;
  90.                 smoothMax = smoothMid;
  91.             }
  92.         }
  93.     }
  94. }
Success #stdin #stdout 0.05s 4386816KB
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Standard input is empty
stdout
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Valores: [10.0, 40.0, 50.0, 20.0, 35.0]
Taxa: 0.05 - resultado: 7.078253125000002
Taxa (prova real): 0.05
Melhor taxa: 1.0 - resultado: 35.0

Valores: [22.0, 18.0]
Taxa: 0.34 - resultado: 11.056799999999999
Taxa (prova real): 0.33999999999999997
Melhor taxa: 0.9090909212827682 - resultado: 18.18181818181818

Valores: [260.0, 350.0, 430.0, 280.0, 640.0, 650.0, 240.0, 430.0, 320.0, 585.0, 385.0, 450.0, 760.0, 690.0, 400.0]
Taxa: 0.25 - resultado: 514.275442045182
Taxa (prova real): 0.24999999999999967
Melhor taxa: 0.3844731971623787 - resultado: 529.8357007856109

Valores: [128.0, 180.0, 96.0, 108.0, 130.0, 150.0, 165.0, 139.0, 140.0, 165.0, 290.0, 190.0, 210.0, 240.0, 235.0]
Melhor taxa: 0.9200836578384042 - resultado: 235.20144008802336

Valores: [36.0, 48.0, 26.0, 31.0, 57.0, 42.0, 26.0, 23.0, 18.0, 25.0, 18.0, 36.0, 41.0, 18.0, 22.0]
Melhor taxa: 0.21615071594715118 - resultado: 26.222890515272397
https://ideone.com/dM2Tcz
language:
Java (HotSpot 12)
created:
6 years ago
visibility:
public

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