public override INumber Integrate(RuntimeData runtime, string t)
{
// 計算し易いように条件を最適化しておく
var ress = this.Clone().Optimise(runtime);
if (!(ress is Fraction))
{
return(ress.Integrate(runtime, t));
}
var res = ress as Fraction;
// 特殊な定義: ∫(b / x^a)dx → b*log(x) / a
// ∫(1 / x^2)dxとかはこの条件に当てはまらないので注意しないといけない
if (runtime.IsConstValue(res.Numerator) &&
((res.Denominator is Variable && (res.Denominator as Variable).Name == t) ||
(res.Denominator is Member && (res.Denominator as Member).Text == t)) &&
runtime.IsConstValue(res.Denominator.Pow))
{
MultipleFormula mf = new Expression.MultipleFormula();
mf.AddItem(runtime, res.Numerator);
mf.AddItem(runtime, new Fraction(res.Denominator.Pow, Number.New(1)));
mf.AddItem(runtime, new FuncedINumber(
runtime.Functions["log"],
new INumber[] { new NaturalLogarithm(), res.Denominator }));
if (runtime.Setting.DoOptimize)
{
return(mf.Optimise(runtime));
}
else
{
return(mf);
}
}
// 分母も分子も定数しか含まれていない → 定数として扱う
if (runtime.IsConstValue(res.Denominator) &&
runtime.IsConstValue(res.Numerator))
{
MultipleFormula mf = new Expression.MultipleFormula();
mf.AddItem(runtime, res);
mf.AddItem(runtime, new Variable(t));
return(mf);
}
// 事前に分母と分子に存在する定数を外に出して計算した方がいい
runtime.Setting.Logger.AddInfo("分数の積分は申し訳程度にしか実装していません。");
throw new NotImplementedException("分数の積分はあまり対応してない");
}
public override INumber ForceExecute(RuntimeData runtime, params INumber[] parameters)
{
var param = parameters[0].FinalEval(runtime);
if (runtime.IsConstValue(param))
{
return(new FloatNumber((decimal)(System.Math.Tan((double)(param as IConstParameter).ConstValue))));
}
return(param);
}
public override INumber ForceExecute(RuntimeData runtime, params INumber[] parameters)
{
var param = parameters[1].FinalEval(runtime);
var Base = parameters[0].FinalEval(runtime);
if (parameters[0] is NaturalLogarithm &&
parameters[0].Pow is Number &&
(parameters[0].Pow as Number).Value == 1)
{
return(new FloatNumber((decimal)(System.Math.Log(
(double)(param as IConstParameter).ConstValue))));
}
if (runtime.IsConstValue(param) && runtime.IsConstValue(Base))
{
return(new FloatNumber((decimal)(System.Math.Log(
(double)(param as IConstParameter).ConstValue,
(double)(Base as IConstParameter).ConstValue))));
}
return(param);
}
public override INumber Power(RuntimeData runtime, INumber val)
{
var pow = val.FinalEval(runtime);
if (pow is IConstParameter && (pow as IConstParameter).ConstValue == 0)
{
return(Number.New(1));
}
if (runtime.IsConstValue(pow))
{
var me = this.Clone() as FloatNumber;
me.value = (decimal)Math.Pow((double)this.value, (double)(pow as IConstParameter).ConstValue);
return(me);
}
return(base.Power(runtime, val));
}