多项式乘法 快速傅里叶变换

编程语言 2019-01-27 13:50:03 阅读次数: 0

好久没写算法了，这才是本呀，还得拾起来.

快速傅立叶变换实现两个多项式相乘，求乘积的系数

例如，求(n^2 + 2*n + 1)(2*n^2 + 1)，最高次幂为2

输入： 2 2（两个多项式的最高次幂）
           1 2 1（第一个多项式各项系数）
           2 0 1（第二个多项式各项系数）
输出：2 4 3 2 1
即：2*n^4 + 4*n^3 + 3*n^2 + 2*n + 1

1:多项式表达法 
次数表达法： 
次数界n（最高次数为n-1）的多项式: 的系数表达为一个由系数组成的向量a=（a0,a1,a2,….an-1） 
点值表达法: 
把多项式理解成一个函数，然后用函数上的点表示这个函数 
（两点确定一条直线，三点确定一个二次函数…n+1个点确定一个n次函数，以此类推） 
次数界为n的多项式的点值表达法就是一个n个点对组成的集合

2:单位复数根 
如果一个数的n次方能够变回1，那么我们叫他n次复数根，记作w_n^k 
n次单位复数根刚好有n个, 他们是e^(2kπ/n i), k=0,1,2…n−1, 关于复数指数的定义如下： 
e^ui=cos⁡〖(u)+sin⁡(u)〗 i。

他们均匀的分布在了这个圆上，离原点的距离都是1 
下图以四次单位复数根为例 
这里写图片描述

关于复数根的几个定理和引理：

消去引理： 对任何整数 n≥0,k≥0,d≥0n≥0,k≥0,d≥0有ωdkdn=ωknωdndk=ωnk

证明： ωdkdn=(e2iπdn)dk=(e2iπn)k=ωknωdndk=(e2iπdn)dk=(e2iπn)k=ωnk

一个推论： 对任意偶数 n > 0 有 ωn2n=ω2=−1ωnn2=ω2=−1

证明：设n = 2*k那么 ωn2n=ωk2k=ω2=eπ=cos(π)+sin(π)i=−1ωnn2=ω2kk=ω2=eπ=cos(π)+sin(π)i=−1

折半引理：如果n > 0是偶数, 那么n个n次单位复数根的平方的集合就是n/2个n/2次单位复数根的集合

证明：实际上这个引理就是证明了(ωk+n2n)2=ω2k+nn=ω2knωnn=(ωkn)2(ωnk+n2)2=ωn2k+n=ωn2kωnn=(ωnk)2

折半引理对于采用分治对多项式系数向点值表达的转换有很大作用, 保证了递归的子问题是原问题规模的一半

求和引理：对任意整数n≥1n≥1和不能被n整除的非负整数k, 有

Σj=0n−1(ωkn)j=0Σj=0n−1⁡(ωnk)j=0

这个问题通过等比数列求和公式就可以得到：Σn−1j=0(ωkn)j=(ωkn)k−1ωkn−1=1k−1ωkn−1=0
 

DFT

在DFT变换中, 希望计算多项式A(x)在复数根ω0n,ω1n,...,ωn−1nωn0,ωn1,...,ωnn−1处的值, 也就是求

yk=A(ωkn)=Σj=0n−1ajωkjnyk=A(ωnk)=Σj=0n−1⁡ajωnkj

称向量y=(y0,y1,...,yn−1)y=(y0,y1,...,yn−1)是系数向量a=(a0,a1,...,an−1)a=(a0,a1,...,an−1)的离散傅里叶变换, 记为y=DFTn(a)y=DFTn(a)

FFT

直接计算DFT的复杂度是O(n2)O(n2), 而利用复数根的特殊性质的话, 可以在O(nlogn)O(nlogn)的时间内完成, 这个方法就是FFT方法, 在FFT方法中采用分治策略来进行操作, 主要利用了消去引理之后的那个推论

在FFT的策略中, 多项式的次数是2的整数次幂, 不足的话再前面补0, 每一步将当前的多项式A(x), 次数是2的倍数, 分成两个部分：

A[0](x)=a0+a2x+a4x2+...+an−2xn2−1A[0](x)=a0+a2x+a4x2+...+an−2xn2−1

A[1](x)=a1+a3x1+a5x2+...+an−1xn2−1A[1](x)=a1+a3x1+a5x2+...+an−1xn2−1

于是就有了

A(x)=A[0](x2)+xA[1](x2)A(x)=A[0](x2)+xA[1](x2)

那么我们如果能求出次数界是n2n2的多项式A[0](x)A[0](x)和A[1](x)A[1](x)在n个n次单位复数根的平方处的取值就可以了, 即在

(ω0n)2,(ω1n)2,(ω2n)2,...,(ωn−1n)2(ωn0)2,(ωn1)2,(ωn2)2,...,(ωnn−1)2

处的值, 那么根据折半引理, 这n个数其实只有n2n2个不同的值, 也就是说, 对于每次分出的两个次数界n2n2的多项式, 只需要求出其n2n2个不同的值即可, 那么问题就递归到了原来规模的一半, 也就是说如果知道了两个子问题的结果, 当前问题可以在两个子问题次数之和的复杂度内解决, 那么这样递归问题的复杂度将会是O(nlogn)

#include <iostream>
using namespace std;
#include <complex>//complex是复数的意思，C++中已经提供了实现复数的类complex，而complex<double>则是声明一些实部和虚部都为double类型的复数变量。
#include <cmath>
double PI = acos(-1);
complex<double> a[400010], b[400010], c[400010];
void fft(complex<double> *a, int n, int op)complex是复数的意思，C++中已经提供了实现复数的类complex，而complex<double>则是声明一些实部和虚部都为double类型的复数变量。
#include <cmath>
double PI = acos(-1);
complex<double> a[400010], b[400010], c[400010];
void fft(complex<double> *a, int n, int op)
{
	if (n == 1) return;
	complex<double> w(1, 0), wn(cos(2*PI/n), sin(2*PI*op/n)), a1[n>>1], a2[n>>1];
	for (int i = 0; i < (n>>1); i++)
		a1[i] = a[i<<1], a2[i] = a[(i<<1)+1];
	fft(a1, n>>1, op), fft(a2, n>>1, op);
	for (int i = 0; i < (n>>1); i++, w*=wn)
		a[i] = a1[i] + w*a2[i], a[i+(n>>1)] = a1[i] - w*a2[i];
}
int main()
{
	int n, m;
	scanf("%d%d", &n, &m);//两个式子中最高项的次数
	for (int i = 0; i <= n; i++) scanf("%lf", &a[i]);//依次输入每一项的系数
	for (int i = 0; i <= m; i++) scanf("%lf", &b[i]);
	m += n, n = 1; 
	while (n <= m) n <<= 1;
	fft(a, n, 1), fft(b, n, 1);
	for (int i = 0; i < n; i++) c[i] = a[i] * b[i];
	fft (c, n, -1);
	for (int i = 0; i <= m; i++) printf("%.0lf ", floor(c[i].real()/n));
	return 0;
}

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" 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" alt="" />


FFT递归版：

#include <iostream>
using namespace std;
#include <complex>
#include <cmath>
double PI = acos(-1);
complex<double> a[400010], b[400010], c[400010];
void fft(complex<double> *a, int n, int op)
{
	if (n == 1) return;
	complex<double> w(1, 0), wn(cos(2*PI*op/n), sin(2*PI*op/n)), a1[n>>1], a2[n>>1];
	for (int i = 0; i < (n>>1); i++)
		a1[i] = a[i<<1], a2[i] = a[(i<<1)+1];
	fft(a1, n>>1, op), fft(a2, n>>1, op);
	for (int i = 0; i < (n>>1); i++, w*=wn)
		a[i] = a1[i] + w*a2[i], a[i+(n>>1)] = a1[i] - w*a2[i];
}
int main()
{
	int n, m;
	scanf("%d%d", &n, &m);
	for (int i = 0; i <= n; i++) scanf("%lf", &a[i]);
	for (int i = 0; i <= m; i++) scanf("%lf", &b[i]);
	m += n, n = 1; 
	while (n <= m) n <<= 1;
	fft(a, n, 1), fft(b, n, 1);
	for (int i = 0; i < n; i++) c[i] = a[i] * b[i];
	fft (c, n, -1);
	for (int i = 0; i <= m; i++) printf("%d ", int(c[i].real()/n+0.5));
	return 0;
}
<img 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" 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" alt="" />

FFT迭代版：

#include <iostream>
using namespace std;
#include <cmath>
double PI = acos(-1);
const int MAXN = 4*1e5+10;
int r[MAXN];
struct Complex{
    double r, i;
    Complex(){}
    Complex(double _r, double _i){ r = _r, i = _i; }
    Complex operator +(const Complex &y) { return Complex(r+y.r, i+y.i); }
    Complex operator -(const Complex &y) { return Complex(r-y.r, i-y.i); }
    Complex operator *(const Complex &y) { return Complex(r*y.r - i*y.i, r*y.i+i*y.r); }
    Complex operator *=(const Complex &y) { double t = r; r = r*y.r - i*y.i, i = t*y.i + i*y.r; }
}a[MAXN], b[MAXN];
void fft(Complex *a, int len, int op)
{
	Complex tt;
    for (int i = 0; i < len; i++) if (i < r[i])
        tt = a[i], a[i] = a[r[i]], a[r[i]] = tt;
	for (int i = 1; i < len; i <<= 1)
	{
		Complex wn(cos(PI/i), sin(PI*op/i));
		for (int k=0, t=(i<<1); k < len; k += t)
		{
			Complex w(1, 0);
			for (int j = 0; j < i; j++, w *= wn)
			{
				Complex t = w*a[k+j+i];
				Complex u = a[k+j];
				a[k+j] = u + t;
				a[k+j+i] = u - t;
			}
		}
	}
	if (op == -1) for (int i = 0; i < len; i++) a[i].r /= len, a[i].i /= len;
}
int main()
{
	int n, m, L, i, x;
	scanf("%d%d", &n, &m);
	for (int i = 0; i <= n; i++) scanf("%lf", &a[i]);
	for (int i = 0; i <= m; i++) scanf("%lf", &b[i]);
	m += n; 
	for (n=1, L=0; n <= m; n <<= 1) L++;
    for (i=0, x=L-1; i < n; i++) r[i] = (r[i>>1]>>1) | ((i&1)<<x);
	fft(a, n, 1), fft(b, n, 1);
	for (int i = 0; i < n; i++) a[i] *= b[i];
	fft (a, n, -1);
	for (int i = 0; i <= m; i++) printf("%d ", int(a[i].r+0.5));
	return 0;
}
<img 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" 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" alt="" />


总结：普通的 

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