/// <summary>
/// 遞等式計算通用處理
/// </summary>
/// <param name="type">題型</param>
/// <param name="expressFormat">計算表達式</param>
/// <param name="getArguments">參數處理邏輯</param>
/// <param name="formulas">計算式作成</param>
private void CleverStartegy(TopicType type, string expressFormat, Func <int[]> getArguments, IList <RecursionEquationFormula> formulas)
{
// 當前反推判定次數（一次推算內次數累加）
int defeated = 0;
RecursionEquationFormula RecursionEquation = new RecursionEquationFormula
{
Type = type,
ConfixFormulas = new List <Formula>(),
Answer = new List <int>()
};
while (1 == 1)
{
// 如果大於三次則認為此題無法作成繼續下一題
if (defeated == INVERSE_NUMBER)
{
RecursionEquation = null;
break;
}
int[] factors = getArguments();
if (factors == null)
{
defeated++;
continue;
}
StringBuilder express = new StringBuilder();
var answer = factors[3];
express.AppendFormat(CultureInfo.CurrentCulture, expressFormat, factors[0], factors[1], factors[2]);
// 計算式推導
var calc = new ExpressArithmeticUtil();
if (!calc.IsResult(express.ToString(), out int result))
{
defeated++;
continue;
}
if (result != answer)
{
defeated++;
continue;
}
// 加入推導出計算式集合
calc.Formulas.ToList().ForEach(f => RecursionEquation.ConfixFormulas.Add(f));
RecursionEquation.Answer.Add(answer);
defeated = 0;
break;
}
if (RecursionEquation != null)
{
formulas.Add(RecursionEquation);
}
}
public void SplitExpressTest03()
{
Express = "40+(60-1)*5";
var calc = new ExpressArithmeticUtil();
var express = calc.SplitExpress(Express);
var list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result));
Assert.AreEqual(335, result);
}
public void SplitExpressTest02()
{
Express = "(30+10)*50+60/20";
var calc = new ExpressArithmeticUtil();
var express = calc.SplitExpress(Express);
var list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result));
Assert.AreEqual(2003, result);
}
public void SplitExpressTest08()
{
Express = "100+{10+[40+(60-10/2)]}*5";
var calc = new ExpressArithmeticUtil();
var express = calc.SplitExpress(Express);
var list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result));
Assert.AreEqual(625, result);
Assert.IsTrue(calc.IsResult(Express, out result));
Assert.AreEqual(625, result);
}
public void ArithmeticTest01()
{
var calc = new ExpressArithmeticUtil();
Assert.AreEqual("7", calc.Arithmetic("3", "4", "+"));
Assert.AreEqual("1", calc.Arithmetic("4", "3", "-"));
Assert.AreEqual("12", calc.Arithmetic("3", "4", "*"));
Assert.AreEqual("7", calc.Arithmetic("28", "4", "/"));
Assert.AreEqual(3, calc.Formulas[0].LeftParameter);
Assert.AreEqual(4, calc.Formulas[0].RightParameter);
Assert.AreEqual(SignOfOperation.Plus, calc.Formulas[0].Sign);
Assert.AreEqual(7, calc.Formulas[0].Answer);
}
public void SplitExpressTest04()
{
var calc = new ExpressArithmeticUtil();
var express = calc.SplitExpress("40+5");
var list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result01));
Assert.AreEqual(45, result01);
Assert.IsTrue(calc.IsResult("40+5", out result01));
Assert.AreEqual(45, result01);
express = calc.SplitExpress("40/5");
list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result02));
Assert.AreEqual(8, result02);
Assert.IsTrue(calc.IsResult("40/5", out result02));
Assert.AreEqual(8, result02);
express = calc.SplitExpress("40*5");
list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result03));
Assert.AreEqual(200, result03);
Assert.IsTrue(calc.IsResult("40*5", out result03));
Assert.AreEqual(200, result03);
express = calc.SplitExpress("40-5");
list = calc.InorderToPostorder(express);
Assert.IsTrue(calc.IsResult(list, out int result04));
Assert.AreEqual(35, result04);
Assert.IsTrue(calc.IsResult("40-5", out result04));
Assert.AreEqual(35, result04);
}
public void SplitExpressTest01()
{
Express = "(3+1)*5-6/2";
var calc = new ExpressArithmeticUtil();
var express = calc.SplitExpress(Express);
Assert.AreEqual(12, express.Count);
// 中序表達式隊列
var resultExpress = express.ToArray();
Assert.AreEqual("(", resultExpress[0]);
Assert.AreEqual("3", resultExpress[1]);
Assert.AreEqual("+", resultExpress[2]);
Assert.AreEqual("1", resultExpress[3]);
Assert.AreEqual(")", resultExpress[4]);
Assert.AreEqual("*", resultExpress[5]);
Assert.AreEqual("5", resultExpress[6]);
Assert.AreEqual("-", resultExpress[7]);
Assert.AreEqual("6", resultExpress[8]);
Assert.AreEqual("/", resultExpress[9]);
Assert.AreEqual("2", resultExpress[10]);
Assert.AreEqual("#", resultExpress[11]);
var list = calc.InorderToPostorder(express);
Assert.AreEqual(9, list.Count);
Assert.IsTrue(calc.IsResult(list, out int result));
Assert.AreEqual(17, result);
Assert.AreEqual(4, calc.Formulas.Count);
var f1 = calc.Formulas[0];
Assert.AreEqual(3, f1.LeftParameter);
Assert.AreEqual(SignOfOperation.Plus, f1.Sign);
Assert.AreEqual(1, f1.RightParameter);
Assert.AreEqual(4, f1.Answer);
var f2 = calc.Formulas[1];
Assert.AreEqual(4, f2.LeftParameter);
Assert.AreEqual(SignOfOperation.Multiple, f2.Sign);
Assert.AreEqual(5, f2.RightParameter);
Assert.AreEqual(20, f2.Answer);
var f3 = calc.Formulas[2];
Assert.AreEqual(6, f3.LeftParameter);
Assert.AreEqual(SignOfOperation.Division, f3.Sign);
Assert.AreEqual(2, f3.RightParameter);
Assert.AreEqual(3, f3.Answer);
var f4 = calc.Formulas[3];
Assert.AreEqual(20, f4.LeftParameter);
Assert.AreEqual(SignOfOperation.Subtraction, f4.Sign);
Assert.AreEqual(3, f4.RightParameter);
Assert.AreEqual(17, f4.Answer);
}
/// <summary>
/// 綜合題型巧算（合併）
/// </summary>
/// <param name="formulas">計算式作成</param>
protected virtual void CleverWithSyntheticCombine(IList <CleverCalculationFormula> formulas)
{
// 當前反推判定次數（一次推算內次數累加）
int defeated = 0;
CleverCalculationFormula cleverCalculation = new CleverCalculationFormula
{
Type = (int)Synthetic.Combine,
ConfixFormulas = new List <Formula>(),
Answer = new List <int>()
};
while (1 == 1)
{
// 如果大於三次則認為此題無法作成繼續下一題
if (defeated == INVERSE_NUMBER)
{
cleverCalculation = null;
break;
}
cleverCalculation.ConfixFormulas.Clear();
cleverCalculation.Answer.Clear();
var answer = 0;
// 獲取一個10以內的共有因數
int factorShare = CommonUtil.GetRandomNumber(3, 9);
// 合併方法(加法或者减法)
SignOfOperation combine = CommonUtil.GetRandomNumber(SignOfOperation.Plus, SignOfOperation.Subtraction);
StringBuilder express = new StringBuilder();
// 加法合併
if (combine == SignOfOperation.Plus)
{
int factor1 = CommonUtil.GetRandomNumber(1, 9);
// 加法合併的兩種情況：
// 1.相加之和是整十數
int factor2 = CommonUtil.GetRandomNumber(1, 50, condition: _ => (_ % 10 == 0 || _ + factor1 <= 10) && _ != factor1, getDefault: () => 30);
// 2.相加之和是十
if (factor2 > 10)
{
factor2 -= factor1;
}
// 隨機排列計算式各參數（打亂參數位置）
SetNewGuidFactors(out List <int> factors1, factorShare, factor1);
SetNewGuidFactors(out List <int> factors2, factorShare, factor2);
// eg: 8 * 5 + 2 * 5 = (8 + 2) * 5 = 10 * 5
express.AppendFormat(CultureInfo.CurrentCulture, "{0}*{1}+{2}*{3}", factors1[0], factors1[1], factors2[0], factors2[1]);
answer = (factor1 + factor2) * factorShare;
cleverCalculation.ConfixFormulas.Add(new Formula(factor1 + factor2, factorShare, answer, SignOfOperation.Multiple));
cleverCalculation.Answer.Add(answer);
}
// 減法合併
else
{
int factor1 = CommonUtil.GetRandomNumber(11, 19);
int factor2 = CommonUtil.GetRandomNumber(5, 9, condition: _ => factor1 - _ <= 10, getDefault: () => 5);
// 隨機排列計算式各參數（打亂參數位置）
SetNewGuidFactors(out List <int> factors1, factorShare, factor1);
SetNewGuidFactors(out List <int> factors2, factorShare, factor2);
// eg: 18 * 5 - 9 * 5 = (18 - 9) * 5 = 20
express.AppendFormat(CultureInfo.CurrentCulture, "{0}*{1}-{2}*{3}", factors1[0], factors1[1], factors2[0], factors2[1]);
answer = (factor1 - factor2) * factorShare;
cleverCalculation.ConfixFormulas.Add(new Formula(factor1 - factor2, factorShare, answer, SignOfOperation.Multiple));
cleverCalculation.Answer.Add(answer);
}
// 計算式推導
var calc = new ExpressArithmeticUtil();
if (!calc.IsResult(express.ToString(), out int result))
{
defeated++;
continue;
}
if (result != answer)
{
defeated++;
continue;
}
// 加入推導出計算式集合
calc.Formulas.ToList().ForEach(f => cleverCalculation.ConfixFormulas.Add(f));
defeated = 0;
break;
}
if (cleverCalculation != null)
{
formulas.Add(cleverCalculation);
}
}
/// <summary>
/// 綜合題型巧算（拆解）
/// </summary>
/// <param name="formulas">計算式作成</param>
protected virtual void CleverWithSyntheticUnknit(IList <CleverCalculationFormula> formulas)
{
// 當前反推判定次數（一次推算內次數累加）
int defeated = 0;
CleverCalculationFormula cleverCalculation = new CleverCalculationFormula
{
Type = (int)Synthetic.Unknit,
ConfixFormulas = new List <Formula>(),
Answer = new List <int>()
};
while (1 == 1)
{
// 如果大於三次則認為此題無法作成繼續下一題
if (defeated == INVERSE_NUMBER)
{
cleverCalculation = null;
break;
}
cleverCalculation.ConfixFormulas.Clear();
cleverCalculation.Answer.Clear();
// 獲取一個待拆解的非整數(不包含各位為5的數)
int unknitValue = CommonUtil.GetRandomNumber(10, 60, condition: _ => _ % 10 != 0 && _ % 10 != 5, getDefault: () => 46);
// 獲取一個10以內的因數
int factor = CommonUtil.GetRandomNumber(3, 9, condition: _ => _ != unknitValue % 10, getDefault: () => 5);
// 數字按照位數分解
int[] unknits = new int[2] {
unknitValue / 10, unknitValue % 10
};
// 距離整數的差異值
int unknitDiff = unknits[1] >= 5 ? 10 - unknits[1] : unknits[1];
// 結果值
int answer = unknitValue * factor;
// 用於設定待拆解因數的位置
LeftOrRight leftOrRight = CommonUtil.GetRandomNumber(LeftOrRight.Left, LeftOrRight.Right);
cleverCalculation.Answer.Add(answer);
if (leftOrRight == LeftOrRight.Left)
{
cleverCalculation.ConfixFormulas.Add(new Formula(unknitValue, factor, answer, SignOfOperation.Multiple));
}
else
{
cleverCalculation.ConfixFormulas.Add(new Formula(factor, unknitValue, answer, SignOfOperation.Multiple));
}
StringBuilder express = new StringBuilder();
// 加法拆解
if (unknits[1] < 5)
{
// eg: 12 * 5 = 10 * 5 + 2 * 5
express.AppendFormat(CultureInfo.CurrentCulture, "{0}*{1}+{2}*{3}", unknitValue - unknitDiff, factor, unknits[1], factor);
}
// 減法拆解
else
{
// eg: 18 * 5 = 20 * 5 - 2 * 5
express.AppendFormat(CultureInfo.CurrentCulture, "{0}*{1}-{2}*{3}", unknitValue + unknitDiff, factor, unknitDiff, factor);
}
// 計算式推導
var calc = new ExpressArithmeticUtil();
if (!calc.IsResult(express.ToString(), out int result))
{
defeated++;
continue;
}
if (result != answer)
{
defeated++;
continue;
}
// 加入推導出計算式集合
calc.Formulas.ToList().ForEach(f => cleverCalculation.ConfixFormulas.Add(f));
defeated = 0;
break;
}
if (cleverCalculation != null)
{
formulas.Add(cleverCalculation);
}
}
