【演武厅】高精度四则运算实战

挑战了一下Java的BigDecimal，结果很遗憾性能不佳，然亦有收获。

import javay.math.BigNum;

import javay.math.BigNumRound;

import javay.math.MathBn;

import javay.swing.CalcultorConts;

/**

 * @author DBJ

 *

 */

public class BigNumTest {

  public void testbyte() throws Exception {

    byte b = Byte.MIN_VALUE;

    BigNum testa = BigNum.BYTE_MIN_VALUE;

    while(b != Byte.MAX_VALUE) {

      testa = testa.add(BigNum.ONE);

      b ++;

      if (b != testa.toByte()) {

        System.out.println(b + "<>" + testa);

        break ;

      } else {

        System.out.println(b + "==" + testa);

      }

    }

  }

  public void testshort() throws Exception {

    short b = Short.MIN_VALUE;

    BigNum testa = BigNum.SHORT_MIN_VALUE;

    while(b != Short.MAX_VALUE) {

      testa = testa.add(BigNum.ONE);

      b ++;

      if (b != testa.toShort()) {

        System.out.println(b + "<>" + testa);

        throw new Exception(b + "<>" + testa);

        // break ;

      } else {

        System.out.println(b + "==" + testa);

      }

    }

  }

  public void testint() throws Exception {

    int b = Integer.MIN_VALUE;

    BigNum testa = BigNum.INT_MIN_VALUE;

    while(b != Integer.MAX_VALUE) {

      testa = testa.add(BigNum.ONE);

      b ++;

      if (b != testa.toInt()) {

        System.out.println(b + "<>" + testa);

        throw new Exception(b + "<>" + testa);

        // break ;

      } else {

        System.out.println(b + "==" + testa);

      }

    }

  }

  public void testlong() throws Exception {

    long b = Long.MIN_VALUE;

    BigNum testa = BigNum.LONG_MIN_VALUE;

    while(b != Long.MAX_VALUE) {

      testa = testa.add(BigNum.ONE);

      b ++;

      if (b != testa.toLong()) {

        System.out.println(b + "<>" + testa);

        throw new Exception(b + "<>" + testa);

        // break ;

      } else {

        System.out.println(b + "==" + testa);

      }

    }

  }

  public void testSubtract() throws Exception {

//    byte b = Byte.MAX_VALUE;

//    BigNum testa = BigNum.BYTE_MAX_VALUE;

//    while(b != Byte.MIN_VALUE) {

//      testa = testa.subtract(BigNum.ONE);

//      b --;

//      if (b != testa.toByte()) {

//        System.out.println(b + "<>" + testa);

//        break ;

//      } else {

//        System.out.println(b + "==" + testa);

//      }

//    }

    BigNum s = BigNum.PI.subtract(new BigNum("0.1"));

    System.out.println(s);

  }

  public void print99() throws Exception {

    for(int i = 1; i <= 9; i ++) {

      for (int j = 1; j <= 9; j ++) {

        BigNum val = new BigNum("" + i).multiply(new BigNum("" + j));

        if ((i * j) != val.toLong()) {

          System.out.println((i * j) + "<>" + val.toLong());

          throw new Exception((i * j) + "<>" + val.toLong());

        } else {

          System.out.println((i * j) + "==" + val.toLong());

        }

      }

      System.out.println();

    }

  }

  public void testDivide() throws Exception {

//    byte b = Byte.MAX_VALUE;

//    BigNum testa = BigNum.BYTE_MAX_VALUE;

//    while(b != Byte.MIN_VALUE) {

//      BigNum testc = testa.divide(new BigNum("2"), 0, 0);

//      byte c = (byte) (b / 2);

//      testa = testa.subtract(BigNum.ONE);

//      b --;

//      if (c != testc.toByte()) {

//        System.out.println(c + "<>" + testc);

//        throw new Exception(c + "<>" + testc);

////        break ;

//      } else {

//        System.out.println(c + "==" + testc);

//      }

//    }

    BigNum bg15 = new BigNum("15.0");

    BigNum bg180 = new BigNum("180.0");

    BigNum r = bg15.divide(bg180, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println(r);

    BigNum bg104508 = new BigNum("10.4508");

    BigNum bg2 = new BigNum("2.0");

    r = bg104508.divide(bg2, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println("r=" + r);

    BigNum bg30 = new BigNum("30.0");

    r = bg30.divide(bg180, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println("r=" + r);

    BigNum bg45 = new BigNum("45.0");

    r = bg45.divide(bg180, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println("r=" + r);

    BigNum a = new BigNum("0.143547577225009399403922177216000");

    BigNum b = new BigNum("121645100408832000.000000000");

    BigNum c = a.divide(b, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println("c=" + c);

     a = new BigNum("0.02");

     b = new BigNum("40.0");

     c = a.divide(b, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println("c=" + c);

  }

  public void testDivide2() {

    BigNum a = new BigNum("1.0");

    BigNum b = new BigNum("0.000244140625");

    BigNum c = a.divide(b, 40, BigNumRound.HALF_EVENT);

    System.out.println(c);

  }

  public void testMod() {

    BigNum test324 = new BigNum("3.24");

    BigNum test03 = new BigNum("0.3");

    BigNum test = test324.mod(test03);

    System.out.println(test);

    BigNum test3 = new BigNum("3");

    test = test3.mod(test3);

    System.out.println("3 % 3 = " + test);

    BigNum test324a = new BigNum("324");

    test = test324a.mod(test3);

    System.out.println("324 % 3 = " + test);

    test324 = new BigNum("3.24");

    BigNum test003 = new BigNum("0.03");

    test = test324.mod(test003);

    System.out.println("3.24 % 0.03 = " + test);

  }

  public void test003() {

    BigNum test003 = new BigNum("0.03");

    System.out.println("0.03=" + test003);

  }

  public void testCmp() {

    BigNum test = new BigNum(0);

//    test.test_cmp_ary();

  }

  public void testDouble() {

//    double a = 15.3;

//    BigNum b = new BigNum(a);

//    System.out.println(a + "=" + b.toString() + "," + b.toDouble(CalcultorConts.MAX_DOUBLE_SCALE) + "------------------------>");

////    BigNum c = b.log10();

//    System.out.println("<---------------------log10(" + b + ")=" + c + "," + Math.log10(a));

//

//    BigNum e = b.ln(3, BigNumRound.HALF_EVENT);

//    System.out.println("<---------------------ln(" + b + ")=" + e + "," + Math.log1p(a));

  }

  public void testRD() {

    for (int i = 0; i <= 180; i += 15) {

      BigNum r = MathBn.toRadians(new BigNum(i));

      BigNum d = MathBn.toDegrees(r);

      System.out.println(i + "=" + r + "," + d);

    }

  }

  public void testRound() {

    BigNum data = new BigNum("1.2345");

//    data.test_add_ary();

    BigNum dat = data.round(1, BigNumRound.UP);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.DOWN);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.CELLING);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.FLOOR);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.HALF_UP);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.HALF_DOWN);

    System.out.println(dat);

    dat = data.round(1, BigNumRound.HALF_EVENT);

    System.out.println(dat);

    data = new BigNum("5.2254");

    dat = data.round(2, BigNumRound.HALF_EVENT);

    System.out.println(dat);

    data = new BigNum("5.215");

    dat = data.round(2, BigNumRound.HALF_EVENT);

    System.out.println(dat);

    data = new BigNum("5.225");

    dat = data.round(2, BigNumRound.HALF_EVENT);

    System.out.println(dat);

    data = new BigNum("5.214");

    dat = data.round(2, BigNumRound.HALF_EVENT);

    System.out.println(dat);

  }

  public void testToRadians() {

    for (int degree = 0; degree <= 360; degree += 15) {

      if (degree % 30 == 0 || degree % 45 == 0) {

        BigNum d = new BigNum(degree);

        BigNum r1 = MathBn.toRadians(d);

        double r2   = Math.toRadians(degree);

        System.out.println(String.format("%3d : %s - %13.10f = %13.10f", degree, r1, r2, r1.toDouble(CalcultorConts.MAX_DOUBLE_SCALE) - r2));

        System.out.println();

      }

    }

  }

  public void testSin() {

    for (int degree = 0; degree <= 360; degree += 15) {

      if (degree % 30 == 0 || degree % 45 == 0) {

        BigNum d = new BigNum(degree);

        BigNum radian = MathBn.toRadians(d);

        BigNum d1   = MathBn.sin(radian);

        double d2   = Math.sin(radian.toDouble(CalcultorConts.MAX_DOUBLE_SCALE));

        System.out.println(String.format("%3d : %s - %13.10f = %13.10f", degree, d1, d2, d1.toDouble(CalcultorConts.MAX_DOUBLE_SCALE) - d2));

        System.out.println("****************************************************************");

      }

    }

  }

  public void testMultiply() {

    BigNum a = new BigNum("0.25");

    BigNum b = a.multiply(BigNum.PI);

    System.out.println("0.25 * PI =" + b);

    BigNum n4 = new BigNum("4.0");

    BigNum c = BigNum.PI.divide(n4, CalcultorConts.DECIMAL_LEN, BigNumRound.HALF_EVENT);

    System.out.println(c);

    a = new BigNum("0.5");

    BigNum d = a.multiply(BigNum.PI);

    System.out.println("0.5 * PI =" + d);

    a = new BigNum("30.0");

    BigNum e = a.multiply(BigNum.PI);

    System.out.println("30.0 * PI =" + e);

  }

  public void testAdd() {

    BigNum s = BigNum.PI.add(BigNum.PI);

    System.out.println("2pi=" + s);

  }

  public void testLastZero() {

    BigNum a = new BigNum("1.23000000");

    System.out.println("a=" + a);

    a = new BigNum("30.0");

    System.out.println("a=" + a);

    a = new BigNum("300.0");

    System.out.println("a=" + a);

  }

  public void testLogic() {

//    BigNum a = new BigNum("1.25");

//    BigNum b = new BigNum("3.75");

//    System.out.println("AND" + a.and(b));

//    System.out.println(" OR" + a.or(b));

//    System.out.println("XOR" + a.xor(b));

    BigNum a = new BigNum("2.125");

//    BigNum b = new BigNum("4");

    System.out.println(a.rsh(new BigNum("0")));

    System.out.println(a.rsh(new BigNum("1")));

    System.out.println(a.rsh(new BigNum("2")));

    System.out.println(a.rsh(new BigNum("3")));

    System.out.println(a.rsh(new BigNum("4")));

    System.out.println(a.rsh(new BigNum("5")));

    System.out.println(a.rsh(new BigNum("6")));

    System.out.println(a.rsh(new BigNum("7")));

    System.out.println(a.rsh(new BigNum("8")));

//    System.out.println(a.lsh(b));

    System.out.println("------and----");

    System.out.println(new BigNum("1").and(new BigNum("2")));

  }

  public void testSCI() {

    BigNum a = new BigNum("0.00001234");

    System.out.println(a.toScientificNotation());

    System.out.println(new BigNum("0.0000").toScientificNotation());

    System.out.println(new BigNum("123450").toScientificNotation());

  }

  public void testAddxx() {

  BigNum a = new BigNum("45.6");

  BigNum b = new BigNum("78.9");

  a = new BigNum("99.9");

  b = new BigNum("2.0");

//   b = new BigNum("10000000000000000000000000.0000000000000001");

//   BigNum c = a.multiply(b);

//   System.out.println(a + "*" + b + "=" + c);

//   BigNum c = a.divide(b, 2, BigNumRound.HALF_EVENT);

  BigNum c = a.add(b);

  System.out.println(a + "/" + b + "=" + c);

//   System.out.println(a.toString());

  }

  public void test(int testno, String input, String plan) throws Exception {

    BigNum a = new BigNum(input);

    String str2 = a.toString();

    if(!plan.equals(str2)) throw new Exception("ERROR-- " + testno + " --" + input + "=" + plan + " vs " + str2);

    else System.out.println("-- " + testno + " --" + input + "=" + plan + " vs " + str2);

  }

  public void testStr() throws Exception {

    System.out.println("--------------------------------- TEST BEGIN==>");

    test( 1,    ".",    "0.0");

    test( 2,   "+.",    "0.0");

    test( 3,   "-.",   "-0.0");

    test( 4,   "0.",    "0.0");

    test( 5,  "+0.",    "0.0");

    test( 6,  "-0.",   "-0.0");

    test( 7,    ".0",   "0.0");

    test( 8,   "+.0",   "0.0");

    test( 9,   "-.0",  "-0.0");

    test(10,   "0",     "0.0");

    test(11,  "+0",     "0.0");

    test(12,  "-0",    "-0.0");

    test(13,   "0.0",   "0.0");

    test(14,  "+0.0",   "0.0");

    test(15,  "-0.0",  "-0.0");

    test(16,  "45",    "45.0");

    test(17, "+45",    "45.0");

    test(18, "-45",   "-45.0");

    test(19,  "45.",   "45.0");

    test(20, "+45.",   "45.0");

    test(21, "-45.",  "-45.0");

    test(22,  "45.0",  "45.0");

    test(23, "+45.0",  "45.0");

    test(24, "-45.0", "-45.0");

    test(25,    ".67",  "0.67");

    test(26,   "+.67",  "0.67");

    test(27,   "-.67", "-0.67");

    test(28,   "0.67",  "0.67");

    test(29,  "+0.67",  "0.67");

    test(30,  "-0.67", "-0.67");

    test(31,  "45.67", "45.67");

    test(32, "+45.67", "45.67");

    test(33, "-45.67", "-45.67");

    test(34,   "00.",    "0.0");

    test(35,  "+00.",    "0.0");

    test(36,  "-00.",   "-0.0");

    test(37,    ".00",   "0.0");

    test(38,   "+.00",   "0.0");

    test(39,   "-.00",  "-0.0");

    test(40,   "00",     "0.0");

    test(41,  "+00",     "0.0");

    test(42,  "-00",    "-0.0");

    test(43,   "00.0",   "0.0");

    test(44,  "+00.0",   "0.0");

    test(45,  "-00.0",  "-0.0");

    test(46,  "45.00",  "45.0");

    test(47, "+45.00",  "45.0");

    test(48, "-45.00", "-45.0");

    test(49,   "00.67",  "0.67");

    test(50,  "+00.67",  "0.67");

    test(51,  "-00.67", "-0.67");

    test(52,   "00.00",   "0.0");

    test(53,  "+00.00",   "0.0");

    test(54,  "-00.00",  "-0.0");

    test(55,   "0.00",   "0.0");

    test(56,  "+0.00",   "0.0");

    test(57,  "-0.00",  "-0.0");

    test(58,   "10",     "10.0");

    test(59,  "+10",     "10.0");

    test(60,  "-10",    "-10.0");

  }

//  public static BigNum pi = new BigNum("3.14159265358979323846264338327950288419716939937510");

  /**

   * @param args

   */

  public static void main(String[] args) throws Exception {

//    BigNum e = new BigNum("test");

//    BigNum test = new BigNum("0.0T");

    BigNumTest proc = new BigNumTest();

    proc.testStr();

//    proc.testbyte();

////    proc.testshort();

////    proc.testint();

////    proc.testlong();

//    proc.testSubtract();

//    proc.print99();

//    proc.testMultiply();

//    proc.testDivide();

////    proc.test003();

//    proc.testCmp();

//    proc.testMod();

//    proc.testDouble();

//    proc.testRD();

//    proc.testRound();

//    proc.testToRadians();

//    proc.testSubtract();

//    proc.testAdd();

//    proc.testSin();

//    proc.testLastZero();

//    proc.testDivide2();

//    proc.testLogic();

//    proc.testSCI();

    proc.testAddxx();

//    System.out.println("byte" + Byte.MIN_VALUE + "...＋" + Byte.MAX_VALUE); // 8

//    System.out.println("short" + Short.MIN_VALUE + "...＋" + Short.MAX_VALUE); // 16

//    System.out.println("int" + Integer.MIN_VALUE + "...＋" + Integer.MAX_VALUE); // 32

//    System.out.println("long" + Long.MIN_VALUE + "...＋" + Long.MAX_VALUE); // 64

//    System.out.println(BigNumRound.UP.ordinal());

//    BigNum test1 = new BigNum("0");

//    System.out.println("---------------");

//    BigNum test2 = new BigNum("1");

//    System.out.println("---------------");

//    BigNum test3 = new BigNum("9");

//    System.out.println("---------------");

//    BigNum test4 = new BigNum("10");

//    for(int i = 0; i <=100; i ++) {

//      // System.out.println("---------------");

//      BigNum t = new BigNum("" + i);

//    }

//    BigNum test1 = new BigNum("1");

//    BigNum test2 = new BigNum("2");

//    BigNum test3 = test1.add(test2);

//    System.out.println(test3);

//    BigNum test40 = new BigNum("40");

//    System.out.println(test40.abs() + "," + test40.toByte());

//      BigNum test4 = new BigNum("4");

//      System.out.println(test4.abs());

//      if (test40.abs().compareTo(test4.abs()) < 0) {

//        System.out.println("<");

//      }

//      BigNum test36 = test40.subtract(test4);

//      System.out.println(test36);

//    BigNum test20 = new BigNum("2.0");

//    BigNum test12 = test1.multiply(test2);

//    System.out.println(test12);

//    BigNum test3 = new BigNum("3");

//    BigNum test203 = test2.multiply(test3);

//    System.out.println("2=" + test2 + ",*3=" + test3 + ",=" + test203);

//    BigNum test4 = new BigNum("4");

//

//    BigNum test43 = test4.subtract(test3);

//    System.out.println(test43);

//    System.out.println("---------------");

//    BigNum test4 = new BigNum("126.0257");

//    System.out.println(test4.toString());

//    System.out.println("---------------");

//    BigNum test5 = new BigNum("37");

//    System.out.println(test5.toString());

//    System.out.println("---------------");

//    BigNum test6 = new BigNum("+655.36");

//    System.out.println("---------------");

//    BigNum test7 = new BigNum("65537");

//    System.out.println("---------------");

//    BigNum test8 = test4.add(test5);

//    System.out.println(test8.toString());

//    System.out.println("---------------");

//    BigNum test9 = test4.multiply(test5);

//    System.out.println(test9.toString());

//    System.out.println("---------------");

//    System.out.println(test4.compareTo(test5));

//    System.out.println("---------------");

//    BigNum test9 = test4.divide(test5, 0, 0);

//    System.out.println(test9.toString());

//    System.out.println("---------------");

//    System.out.println(new BigNum("0.01260257").divide(test5, 0, 0));

//    System.out.println(new BigNum("0.1260257").divide(test5, 0, 0));

//    System.out.println(new BigNum("1.260257").divide(test5, 0, 0));

//    System.out.println("---------------");

//    System.out.println(new BigNum("12.60257").divide(test5, 0, 0));

//    System.out.println("---------------");

//    System.out.println(new BigNum("126.0257").divide(test5, 0, 0));

//    System.out.println(new BigNum("1260.257").divide(test5, 0, 0));

//    System.out.println(new BigNum("12602.57").divide(test5, 0, 0));

//    System.out.println(new BigNum("126025.7").divide(test5, 0, 0));

//    System.out.println(new BigNum("1260257.0").divide(test5, 0, 0));

//    System.out.println(new BigNum("12602570.0").divide(test5, 0, 0));

//

//    char[][] a = new char[2][3];

//    a[0][0] = 'a';

//    a[0][1] = 'b';

//    a[0][2] = 'c';

//    a[1][0] = 'A';

//    a[1][1] = 'B';

//    a[1][2] = 'C';

//

//    for(int y = 0; y < a[0].length; y ++) {

//      //System.out.print("y=" + y + "a=" + a.length + "a[0]=" + a[0].length);

//      for (int x = 0; x < a.length; x ++) {

//        System.out.print("a[" + x + "][" + y + "]=" + a[x][y]);

//      }

//      System.out.println();

//    }

//    System.out.println("End.");

//    System.out.println(new BigNum("10").divide(new BigNum("3"), 1, 0));

//    BigNum test121p = new BigNum("+12.0");

//    System.out.println(test121p);

//    BigNum test120p = new BigNum("+12.");

//    System.out.println(test120p);

//    BigNum test12p = new BigNum("+12");

//    System.out.println(test12p);

//    BigNum test121 = new BigNum("12.0");

//    System.out.println(test121);

//    BigNum test120 = new BigNum("12.");

//    System.out.println(test120);

//    BigNum test12 = new BigNum("12");

//    System.out.println(test12);

//    BigNum test121n = new BigNum("-12.0");

//    System.out.println(test121n);

//    BigNum test120n = new BigNum("-12.");

//    System.out.println(test120n);

//    BigNum test12n = new BigNum("-12");

//    System.out.println(test12n);

//    BigNum test23 = new BigNum("23");

//    System.out.println(test23);

//    BigNum value = test12.add(test23);

//    System.out.println(value);

//    // BigNum test744 = new BigNum("6006");

//    BigNum test744 = new BigNum("9223372036854775808");

//    // BigNum test744 = new BigNum("22222222222222222222");

//    BigNum test2744 = new BigNum("9223372036854775808");

//    System.out.println(test744.divide(test2744, 0, 0));

  }

}

源代码：http://git.oschina.net/dubenju/encv/blob/master/src/java/javay/math/BigNum.java