这个正弦源代码有什么问题？
我非常熟悉 Java 语法，因此决定根据我之前创建的算法创建正弦代码，将其投入使用。我知道 Math.sin 可以帮助您评估正弦，但我只是为了好玩，决定继续创建我自己的源代码。然而，60° 和 120° 之间以及 240° 和 300° 之间的角度给出了错误的答案，我不知道为什么。有人可以帮我找到错误吗？我已经尝试了一切来检测它但失败了。
import java.util.Scanner;
public class Sine {
public static void main(String[] args) {
// This code solves sine according yo the general expansion of sine
// sin x = x - x³/3! +x^5/5! - x^7/7! +...
Scanner scanner = new Scanner(System.in);
double answer = scanner.nextDouble();
scanner.close();
answer = simplify(answer);
answer = converttoradian(answer);
answer = continued(answer);
System.out.println(answer);
}
// This Makes all the angles that are more than 360
// To become less than 360 and Generates the simplified
// Angles for obtuse and reflex angles
static double simplify(double x) {
if (x >= 360) {
x = x - 360;
return simplify(x);
}
else if (x <= -360) {
x = x + 360;
return simplify(x);
}
else if (x > 90 && x <= 270) {
x = 180 - x;
return x;
}
else if (x >= 270) {
x = x - 360;
return x;
}
else if (x <= -90 && x > -270) {
x = -x - 180;
return x;
}
else if (x <= -270) {
x = x + 360;
return x;
}
else {
return x;
}
}
// Simple enough and explains itself
// Converts the angles to radian
static double converttoradian(double d) {
d *= Math.PI;
d /= 180.0;
return d;
}
慕码人80568581回答
-
qq_花开花谢_0
您的程序中发生了很多事情以及一些不必要的代码。不过，你走在正确的轨道上。我做了一些更改以简化计算。你应该能够跟随他们。具体来说。交替标志。从 开始sign = 1，然后设置sign = -sign后续术语。对于分母和阶乘，我只使用了 for 循环，从 1 开始，递增 2 得到 1,3,5,7对于相同值的幂，我只需乘以d一个dSquared常数即可达到相同的效果。我重写了阶乘以使其更简单。为了减少较大的值，d我只是使用remainder运算符使它们小于 360。我添加了一些打印语句来显示计算进度并确保一切正常工作。最后，适合 long 的最大阶乘是20!。之后，它们会因溢出而变为负数。因此需要减少项数。public class Sine { public static void main(String[] args) { // This code solves sine according yo the general expansion of sine // sin x = x - x³/3! +x^5/5! - x^7/7! +... for (double degrees = 0; degrees < 700; degrees += 17) { double simplified_degrees = simplify(degrees); System.out.println("simplified_degrees = " + simplified_degrees); double radians = converttoradian(simplified_degrees); System.out.println("radians = " + radians); double sin = continued(radians); System.out.println(sin); System.out.println(Math.sin(radians)); System.out.println("------------------------------------------"); } } // This Makes all the angles that are more than 360 // To become less than 360 and Generates the simplified // Angles for obtuse and reflex angles static double simplify(double x) { x = x % 360; return x; } // Simple enough and explains itself // Converts the angles to radian static double converttoradian(double d) { return Math.PI / 180. * d; } // This Method about to open generates each term and adds them together // The number of terms solved in this case is 33 static double continued(double d) { double result = 0; double sign = 1; double dSquared = d * d; int pow = 1; for (int pow = 1; pow < 21; pow += 2) { long fact = factorial(pow); System.out.println("d = " + d + ", fact = " + fact + ", pow = " + pow + ", sign = " + sign); result = result + (d / fact) * sign; d *= dSquared; // effective powers 3, 5, 7,9 sign = -sign; // alternate sign for every other term } return result; } // Evaluates factorials static long factorial(int n) { if (n == 0 || n == 1) { return 1; } long fact = 1; for (long i = 2; i <= n; i++) { fact *= i; } return fact; }}
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Java