From 67bcb4b0bc6d36ecd9d96ceb0aeab02d8f2d1947 Mon Sep 17 00:00:00 2001 From: markilue <745518019@qq.com> Date: Thu, 25 May 2023 11:54:29 +0800 Subject: [PATCH] =?UTF-8?q?leecode=EF=BC=8Crt=5Fphm=E6=9B=B4=E6=96=B0?= =?UTF-8?q?=E6=9B=B4=E6=96=B0?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../singlestack/LC_239_MaxSlidingWindow.java | 12 + ...s.java => LC_503_NextGreaterElements.java} | 2 +- .../speical/T71_238_ProductExceptSelf.java | 43 + .../hot100/second/T67_221_MaximalSquare.java | 36 +- .../second/T70_236_LowestCommonAncestor.java | 48 + .../second/T71_238_ProductExceptSelf.java | 43 + .../second/T72_239_MaxSlidingWindow.java | 63 + .../hot100/second/T73_240_SearchMatrix.java | 40 + .../hot100/second/T74_279_NumSquares.java | 32 + .../phm_backend/warehouse/algorithm/pom.xml | 1 + .../com/cqu/algorithm/fft/BulidComplex.java | 22 + .../java/com/cqu/algorithm/fft/Complex.java | 82 + .../main/java/com/cqu/algorithm/fft/DFT.java | 31 + .../main/java/com/cqu/algorithm/fft/FFT.java | 153 +- .../com/cqu/algorithm/fft/MutableComplex.java | 99 + .../com/cqu/algorithm/fft/TestComplex.java | 15 + .../java/com/cqu/algorithm/fft/TestFFT.java | 76 + .../realtime/app/base/BaseStreamApp.java | 1 + .../realtime/app/dwm/WindCMSApp.java | 41 +- .../app/func/FFTSamplingFunction.java | 34 + .../warehouse/realtime/app/func/format.json | 13115 ++++++++++++++++ .../realtime/utils/TransformUtils.java | 60 +- 22 files changed, 14013 insertions(+), 36 deletions(-) create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_239_MaxSlidingWindow.java rename Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/{T503_NextGreaterElements.java => LC_503_NextGreaterElements.java} (98%) create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/speical/T71_238_ProductExceptSelf.java create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/second/T70_236_LowestCommonAncestor.java create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/second/T71_238_ProductExceptSelf.java create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/second/T72_239_MaxSlidingWindow.java create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/second/T73_240_SearchMatrix.java create mode 100644 Leecode/src/main/java/com/markilue/leecode/hot100/second/T74_279_NumSquares.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/BulidComplex.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/Complex.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/DFT.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/MutableComplex.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestComplex.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestFFT.java create mode 100644 phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/FFTSamplingFunction.java diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_239_MaxSlidingWindow.java b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_239_MaxSlidingWindow.java new file mode 100644 index 0000000..61c8170 --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_239_MaxSlidingWindow.java @@ -0,0 +1,12 @@ +package com.markilue.leecode.hot100.interviewHot.singlestack; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.interviewHot.singlestack + *@Author: markilue + *@CreateTime: 2023-05-25 11:29 + *@Description: TODO 力扣239 滑动窗口最大值 + *@Version: 1.0 + */ +public class LC_239_MaxSlidingWindow { +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/T503_NextGreaterElements.java b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_503_NextGreaterElements.java similarity index 98% rename from Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/T503_NextGreaterElements.java rename to Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_503_NextGreaterElements.java index 2203924..971c701 100644 --- a/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/T503_NextGreaterElements.java +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/singlestack/LC_503_NextGreaterElements.java @@ -13,7 +13,7 @@ import java.util.LinkedList; *@Description: TODO 力扣503 下一个更大元素II *@Version: 1.0 */ -public class T503_NextGreaterElements { +public class LC_503_NextGreaterElements { @Test public void test() { diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/speical/T71_238_ProductExceptSelf.java b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/speical/T71_238_ProductExceptSelf.java new file mode 100644 index 0000000..d0dd44d --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/interviewHot/speical/T71_238_ProductExceptSelf.java @@ -0,0 +1,43 @@ +package com.markilue.leecode.hot100.interviewHot.speical; + +import org.junit.Test; + +import java.util.Arrays; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 10:39 + *@Description: TODO 力扣238 除自身以外数组的乘积 + *@Version: 1.0 + */ +public class T71_238_ProductExceptSelf { + + @Test + public void test() { + int[] nums = {1, 2, 3, 4}; + System.out.println(Arrays.toString(productExceptSelf(nums))); + } + + //思路:考虑分别使用一个left和right记录这个数左边数的乘积和右边数的乘积，最后计算总和 + //其实本题的矛盾点就在于:如果不想要当前，就会损失前面的或者后面的，就会瞻前顾后，遍历两次即可 + public int[] productExceptSelf(int[] nums) { + int[] left = new int[nums.length]; + int[] right = new int[nums.length]; + left[0] = 1; + right[nums.length - 1] = 1; + for (int i = 1; i < nums.length; i++) { + left[i] = left[i - 1] * nums[i - 1]; + } + for (int i = nums.length - 2; i >= 0; i--) { + right[i] = right[i + 1] * nums[i + 1]; + } + + for (int i = 0; i < left.length; i++) { + left[i] *= right[i]; + } + return left; + + } +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T67_221_MaximalSquare.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T67_221_MaximalSquare.java index 9781457..33dc639 100644 --- a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T67_221_MaximalSquare.java +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T67_221_MaximalSquare.java @@ -13,18 +13,18 @@ import org.junit.Test; public class T67_221_MaximalSquare { @Test - public void test(){ + public void test() { char[][] matrix = { {'1', '0', '1', '0', '0'}, {'1', '0', '1', '1', '1'}, {'1', '1', '1', '1', '1'}, {'1', '0', '0', '1', '0'} }; - System.out.println(maximalSquare(matrix)); + System.out.println(maximalSquare1(matrix)); } @Test - public void test1(){ + public void test1() { char[][] matrix = { {'1', '1'}, {'1', '1'} @@ -33,7 +33,7 @@ public class T67_221_MaximalSquare { } @Test - public void test2(){ + public void test2() { char[][] matrix = { {'1', '0', '1', '0'}, {'1', '0', '1', '1'}, @@ -59,7 +59,7 @@ public class T67_221_MaximalSquare { } for (int i = 1; i < n; i++) { if (matrix[0][i] == '1') { - dp[0][i] = 1; + dp[0][i] = 1; result = 1; } } @@ -67,7 +67,7 @@ public class T67_221_MaximalSquare { for (int i = 1; i < m; i++) { for (int j = 1; j < n; j++) { if (matrix[i][j] == '1') { - dp[i][j] = Math.min(Math.min(dp[i - 1][j], dp[i][j - 1]),dp[i-1][j-1]) + 1; + dp[i][j] = Math.min(Math.min(dp[i - 1][j], dp[i][j - 1]), dp[i - 1][j - 1]) + 1; result = Math.max(result, dp[i][j] * dp[i][j]); } } @@ -76,4 +76,28 @@ public class T67_221_MaximalSquare { return result; } + + public int maximalSquare1(char[][] matrix) { + int m = matrix.length; + int n = matrix[0].length; + int[][] dp = new int[m][n]; + int result = 0; + + for (int i = 0; i < m; i++) { + for (int j = 0; j < n; j++) { + if (matrix[i][j] == '1') { + if (i < 1 || j < 1) { + dp[i][j] = 1;//因为第一层最多只有1 + } else { + dp[i][j] = Math.min(Math.min(dp[i - 1][j], dp[i][j - 1]), dp[i - 1][j - 1]) + 1;//值得注意的是添加了dp[i-1][j-1] + //因为正方形需要全是1，而对角为0的情况可能可能会计算出同样的结果 + } + result = Math.max(result, dp[i][j]); + } + } + } + + return result * result; + + } } diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T70_236_LowestCommonAncestor.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T70_236_LowestCommonAncestor.java new file mode 100644 index 0000000..0e5637e --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T70_236_LowestCommonAncestor.java @@ -0,0 +1,48 @@ +package com.markilue.leecode.hot100.second; + +import com.markilue.leecode.tree.TreeNode; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 10:31 + *@Description: TODO 力扣236 二叉树的最近公共祖先 + *@Version: 1.0 + */ +public class T70_236_LowestCommonAncestor { + + //思路:先遍历到谁,谁就一定是最大的，其他的可能在子树上；或者在另一个树上；两者返回值都可以确定 + public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) { + if (root == null) { + return root; + } else if (root == p) { + return p; + } else if (root == q) { + return q; + } + + //全都没碰到:在当前节点的子树上 + TreeNode left = lowestCommonAncestor(root.left, p, q); + TreeNode right = lowestCommonAncestor(root.right, p, q); + if (left != null && right != null) { + return root; + }else if(left==null){ + return right; + }else { + return left; + } + + } + + //优秀写法 + public TreeNode lowestCommonAncestor1(TreeNode root, TreeNode p, TreeNode q) { + if (root == null || root == p || root == q) return root; + TreeNode left = lowestCommonAncestor(root.left, p, q); + TreeNode right = lowestCommonAncestor(root.right, p, q); + if (left != null && right != null) {return root;} + return left != null ? left : right; + } + + +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T71_238_ProductExceptSelf.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T71_238_ProductExceptSelf.java new file mode 100644 index 0000000..214f4df --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T71_238_ProductExceptSelf.java @@ -0,0 +1,43 @@ +package com.markilue.leecode.hot100.second; + +import org.junit.Test; + +import java.util.Arrays; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 10:39 + *@Description: TODO 力扣238 除自身以外数组的乘积 + *@Version: 1.0 + */ +public class T71_238_ProductExceptSelf { + + @Test + public void test() { + int[] nums = {1, 2, 3, 4}; + System.out.println(Arrays.toString(productExceptSelf(nums))); + } + + //思路:考虑分别使用一个left和right记录这个数左边数的乘积和右边数的乘积，最后计算总和 + //其实本题的矛盾点就在于:如果不想要当前，就会损失前面的或者后面的，就会瞻前顾后，遍历两次即可 + public int[] productExceptSelf(int[] nums) { + int[] left = new int[nums.length]; + int[] right = new int[nums.length]; + left[0] = 1; + right[nums.length - 1] = 1; + for (int i = 1; i < nums.length; i++) { + left[i] = left[i - 1] * nums[i - 1]; + } + for (int i = nums.length - 2; i >= 0; i--) { + right[i] = right[i + 1] * nums[i + 1]; + } + + for (int i = 0; i < left.length; i++) { + left[i] *= right[i]; + } + return left; + + } +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T72_239_MaxSlidingWindow.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T72_239_MaxSlidingWindow.java new file mode 100644 index 0000000..726465c --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T72_239_MaxSlidingWindow.java @@ -0,0 +1,63 @@ +package com.markilue.leecode.hot100.second; + +import org.junit.Test; + +import java.util.ArrayDeque; +import java.util.Arrays; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 10:56 + *@Description: TODO 力扣239 滑动窗口最大值 + *@Version: 1.0 + */ +public class T72_239_MaxSlidingWindow { + + @Test + public void test(){ + int[] nums = {1, 3, -1, -3, 5, 3, 6, 7}; + int k = 3; + System.out.println(Arrays.toString(maxSlidingWindow(nums,k))); + } + + @Test + public void test1(){ + int[] nums = {1,-1}; + int k = 1; + System.out.println(Arrays.toString(maxSlidingWindow(nums,k))); + } + + //使用一个单调栈进行记录:定期排除过期元素 + public int[] maxSlidingWindow(int[] nums, int k) { + ArrayDeque stack = new ArrayDeque<>();//[num,index] + int[] result = new int[nums.length - k + 1]; + + //先入栈前k个，确定result的第一个位置,以后每移动一位,result也赋值一位 + for (int i = 0; i < k; i++) { + result[0] = Math.max(result[0], nums[i]); + while (!stack.isEmpty() && stack.peek()[0] < nums[i]) { + //在他前面,还比他小，那么一定不用记录了 + stack.pop(); + } + stack.addFirst(new int[]{nums[i], i}); + } + + for (int i = k; i < nums.length; i++) { + //先清理掉尾部过期元素 + while (!stack.isEmpty() && (i - stack.peekLast()[1]) >= k) { + //超过窗口了 + stack.pollLast(); + } + //将当前元素记录在stack中 + while (!stack.isEmpty() && stack.peek()[0] < nums[i]) { + //在他前面,还比他小，那么一定不用记录了 + stack.pop(); + } + stack.addFirst(new int[]{nums[i], i}); + result[i - k + 1] = stack.peekLast()[0]; + } + return result; + } +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T73_240_SearchMatrix.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T73_240_SearchMatrix.java new file mode 100644 index 0000000..aa4648b --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T73_240_SearchMatrix.java @@ -0,0 +1,40 @@ +package com.markilue.leecode.hot100.second; + +import org.junit.Test; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 11:31 + *@Description: TODO 力扣240 搜索二维矩阵II + *@Version: 1.0 + */ +public class T73_240_SearchMatrix { + + @Test + public void test() { + int[][] nums = {{1, 1}}; + System.out.println(searchMatrix(nums, 0)); + } + + + //从左上角开始遍历:那么满足:target比当前值大，则向下；反之则向左 + public boolean searchMatrix(int[][] matrix, int target) { + //左上角第一个数 + int nowI = 0; + int nowJ = matrix[0].length - 1; + + while (nowI < matrix.length && nowJ >= 0) { + if (matrix[nowI][nowJ] == target) { + return true; + } else if (matrix[nowI][nowJ] < target) { + nowI++; + } else { + nowJ--; + } + } + return false; + } + +} diff --git a/Leecode/src/main/java/com/markilue/leecode/hot100/second/T74_279_NumSquares.java b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T74_279_NumSquares.java new file mode 100644 index 0000000..edce3f1 --- /dev/null +++ b/Leecode/src/main/java/com/markilue/leecode/hot100/second/T74_279_NumSquares.java @@ -0,0 +1,32 @@ +package com.markilue.leecode.hot100.second; + +import org.junit.Test; + +/** + *@BelongsProject: Leecode + *@BelongsPackage: com.markilue.leecode.hot100.second + *@Author: markilue + *@CreateTime: 2023-05-25 11:42 + *@Description: TODO 力扣279 完全平方数 + *@Version: 1.0 + */ +public class T74_279_NumSquares { + + @Test + public void test() { + System.out.println(numSquares(12)); + } + + public int numSquares(int n) { + if (n < 1) return 0; + int[] dp = new int[n + 1]; + dp[1] = 1; + for (int i = 2; i < dp.length; i++) { + dp[i] = i;//最多i个 + for (int j = 1; j <= Math.sqrt(i); j++) { + dp[i] = Math.min(dp[i], dp[i - j * j] + 1); + } + } + return dp[n]; + } +} diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/pom.xml b/phm_rotate/backend/phm_backend/warehouse/algorithm/pom.xml index a48f48f..ecd46c0 100644 --- a/phm_rotate/backend/phm_backend/warehouse/algorithm/pom.xml +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/pom.xml @@ -30,6 +30,7 @@ 目前，有四种类型的变换可用： 离散傅里叶变换（DFT）、离散余弦变换（DCT）、离散正弦变换（DST）和离散哈特利变换（DHT）--> + com.github.wendykierp JTransforms diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/BulidComplex.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/BulidComplex.java new file mode 100644 index 0000000..8415665 --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/BulidComplex.java @@ -0,0 +1,22 @@ +package com.cqu.algorithm.fft; + +import java.util.List; + +/** + *@BelongsProject: phm_parent + *@BelongsPackage: com.cqu.algorithm.fft + *@Author: markilue + *@CreateTime: 2023-05-24 15:24 + *@Description: TODO 构建Complex数组 + *@Version: 1.0 + */ +public class BulidComplex { + + public static Complex[] build(List raw) { + Complex[] complexes = new Complex[raw.size()]; + for (int i = 0; i < complexes.length; i++) { + complexes[i] = new Complex(raw.get(i)); + } + return complexes; + } +} diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/Complex.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/Complex.java new file mode 100644 index 0000000..f65b26c --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/Complex.java @@ -0,0 +1,82 @@ +package com.cqu.algorithm.fft; + +public class Complex { + //复数类，实现复数的加减乘除以及重写toString方法 + private double real; + private double image; + + public Complex() { + this(0,0); + } + + public Complex (double real) { + this(real,0); + } + + public Complex(double real,double image) { + this.real = real; + this.image = image; + } + + public Complex plus(Complex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + double newReal =real + real2; + double newImage =image + image2; + return new Complex(newReal,newImage); + } + + public Complex minus(Complex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + double newReal =real - real2; + double newImage =image - image2; + return new Complex(newReal,newImage); + } + + public Complex multiply(Complex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + double newReal = real * real2 - image * image2; + double newImage = image * real2 + real * image2; + return new Complex(newReal,newImage); + } + + public Complex divide(Complex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + double newReal = (real*real2 + image*image2)/(real2*real2 + image2*image2); + double newImage = (image*real2 - real*image2)/(real2*real2 + image2*image2); + return new Complex(newReal,newImage); + } + + //计算真实大小的时部和虚部 + public Complex divide(int dim) { + real = real * 2 / dim; + image = image * 2 / dim; + return this; + } + + //计算振幅 + public double getAmplitude() { + return Math.sqrt(real * real + image * image); + } + + public double getReal() { + return real; + } + public void setReal(double real) { + this.real = real; + } + public double getImage() { + return image; + } + public void setImage(double image) { + this.image = image; + } + @Override + public String toString() { + return "real=" + real + ", image=" + image; + } + +} diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/DFT.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/DFT.java new file mode 100644 index 0000000..1863c8e --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/DFT.java @@ -0,0 +1,31 @@ +package com.cqu.algorithm.fft; + + +/** + *@BelongsProject: phm_parent + *@BelongsPackage: com.cqu.algorithm.fft + *@Author: markilue + *@CreateTime: 2023-05-24 15:24 + *@Description: TODO DFT算法的实现类 + *@Version: 1.0 + */ +public class DFT { + //DFT计算 + public static Complex[] dft(Complex[] x,int N) { + + if(N == 1 || x.length == 1) { + return x; + } + Complex result[] = new Complex[N]; + for(int k = 0; k < N; k++) { + result[k] = new Complex(); + for(int n = 0; n=J)) { + Complex T = A[I]; + A[I] = A[J]; + A[J] = T; + } + int K = LH; + while(!(J < K)) { + J = J - K; + K = K/2; + } + J += K; + + } +// return null; + } + + //对复数数组倒叙 + public static void reverse(Complex[] A) { + int N = A.length; + int LH = N/2; + int J = LH; + int N1 = N-2; + for(int I = 1;I <= N1; I++) { + if(!(I >=J)) { + Complex T = A[I]; + A[I] = A[J]; + A[J] = T; + } + int K = LH; + while(!(J < K)) { + J = J - K; + K = K/2; + } + J += K; + + } +// return null; + } + public static Complex[] myFFT(Complex[] A,int N) { + //FFT计算（方法二）推荐这一种，错误小 + int M = returnM(N); + Complex[] x = new Complex[N]; + System.arraycopy(A, 0, x, 0, N); + reverse(x); + for(int L = 1;L <= M;L++) { + int B = (int)Math.pow(2, L-1); + for(int J = 0;J <= B-1;J++) { + int P = (int)Math.pow(2, M-L)*J; + for(int k = J;k <= N-1;k += Math.pow(2, L)) { + double W = -2*Math.PI*P/N; + Complex c = x[k+B].multiply(new Complex(Math.cos(W),Math.sin(W))); + Complex T = x[k].plus(c); + x[k+B] = x[k].minus(c); + x[k] = T; + } + } + } + return x; + } + + public static Complex[] myFFT(Complex[] A,int offset,int N) { + //FFT计算，计算从offset开始的N条数据 + int M = returnM(N); + Complex[] x = new Complex[N]; + System.arraycopy(A, offset, x, 0, N); + reverse(x); + for(int L = 1;L <= M;L++) { + int B = (int)Math.pow(2, L-1); + for(int J = 0;J <= B-1;J++) { + int P = (int)Math.pow(2, M-L)*J; + for(int k = J;k <= N-1;k += Math.pow(2, L)) { + double W = -2*Math.PI*P/N; + Complex c = x[k+B].multiply(new Complex(Math.cos(W),Math.sin(W))); + Complex T = x[k].plus(c); + x[k+B] = x[k].minus(c); + x[k] = T; + } + } + } + return x; + } + + //返回一个数是2的几次幂 + public static int returnM(int N) { +// int N = x.length; + if((N&(N-1))!=0) { + throw new RuntimeException("非2的整数幂"); + } + int M=0; + while((N = N / 2) != 0) { + M++; + } + return M; + } } + + diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/MutableComplex.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/MutableComplex.java new file mode 100644 index 0000000..3fb3dc6 --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/MutableComplex.java @@ -0,0 +1,99 @@ +package com.cqu.algorithm.fft; + +import javax.print.DocFlavor; + +/** + *@BelongsProject: phm_parent + *@BelongsPackage: com.cqu.algorithm.fft + *@Author: markilue + *@CreateTime: 2023-05-24 15:24 + *@Description: + * TODO 每一个点的复数类；real表示实数;image表示虚数 + * 使用函数式编程接口:加减乘除都改变自身 + *@Version: 1.0 + */ +public class MutableComplex { + //复数类，实现复数的加减乘除以及重写toString方法 + private double real; + private double image; + + public MutableComplex() { + this(0, 0); + } + + public MutableComplex(double real) { + this(real, 0); + } + + public MutableComplex(double real, double image) { + this.real = real; + this.image = image; + } + + public MutableComplex plus(MutableComplex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + real = real + real2; + image = image + image2; + return this; + } + + public MutableComplex minus(MutableComplex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + real = real - real2; + image = image - image2; + return this; + } + + public MutableComplex multiply(MutableComplex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + real = real * real2 - image * image2; + image = image * real2 + real * image2; + return this; + } + + public MutableComplex divide(MutableComplex complex) { + double real2 = complex.getReal(); + double image2 = complex.getImage(); + real = (real * real2 + image * image2) / (real2 * real2 + image2 * image2); + image = (image * real2 - real * image2) / (real2 * real2 + image2 * image2); + return this; + } + + //计算真实大小的时部和虚部 + public MutableComplex divide(int dim) { + real = real * 2 / dim; + image = image * 2 / dim; + return this; + } + + public double getReal() { + return real; + } + + public void setReal(double real) { + this.real = real; + } + + public double getImage() { + return image; + } + + public void setImage(double image) { + this.image = image; + } + + //计算振幅 + public double getAmplitude() { + return Math.sqrt(real * real + image * image); + } + + + @Override + public String toString() { + return "real=" + real + ", image=" + image; + } + +} diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestComplex.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestComplex.java new file mode 100644 index 0000000..066901f --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestComplex.java @@ -0,0 +1,15 @@ +package com.cqu.algorithm.fft; + +import java.math.BigDecimal; + +/** + * 测试 + */ +public class TestComplex { + //测试复数运算 + public static void main(String[] args) { + Complex complex1 = new Complex(5); + Complex complex2 = new Complex(4); + System.out.println(complex1.multiply(complex2)); + } +} diff --git a/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestFFT.java b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestFFT.java new file mode 100644 index 0000000..1fe93bd --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/algorithm/src/main/java/com/cqu/algorithm/fft/TestFFT.java @@ -0,0 +1,76 @@ +package com.cqu.algorithm.fft; + +import java.util.Arrays; + +/** + * 测试FFT + */ +public class TestFFT { + //测试DFT、FFT运算 + public static void main(String[] args) { + // TODO Auto-generated method stub +// test1(); + test3(); + } + public static void test1() { + Complex[] x = new Complex[5]; + x[0] = new Complex(4); + x[1] = new Complex(3); + x[2] = new Complex(2); + x[3] = new Complex(1); + x[4] = new Complex(0); + for(Complex a:x) { + System.out.println(a); + } + Complex[] x1 = DFT.dft(x, 5); + for(Complex a:x1) { + System.out.println(a); + } + } + public static void test2() { + Complex[] x = new Complex[8]; + for(int i = 0;i < x.length;i++) { + x[i] = new Complex(i); + } + for(Complex a:x) { + System.out.println(a); + } + Complex[] x1 = DFT.dft(x, 8); + Complex[] x2 = FFT.fft(x, 8); + Complex[] x3 = FFT.myFFT(x, 8); + + for (int i = 0; i < x3.length; i++) { + System.out.println(x1[i] + "/" + x2[i] + "/" + x3[i]); + } + } + + public static void test3() { + + Complex[] x = BulidComplex.build(Arrays.asList(-0.029078494757, + -0.33095228672, + -0.12124221772, + 0.553512275219, + -0.158036053181, + 0.268739402294, + -0.638222515583, + 0.233140587807, + -0.173265621066, + 0.467218101025, + -0.372010827065, + -0.136630430818, + 0.343256533146, + 0.008932195604)); + for(Complex a:x) { + System.out.println(a); + } + Complex[] x1 = DFT.dft(x, 14); + Complex[] x2 = FFT.fft(x, 14); +// Complex[] x3 = FFT.myFFT(x, 14); + + for (int i = 0; i < x2.length; i++) { + System.out.println(x1[i] + "/" + x2[i]); + } + } +} + + diff --git a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/base/BaseStreamApp.java b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/base/BaseStreamApp.java index 2e5715b..166a30b 100644 --- a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/base/BaseStreamApp.java +++ b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/base/BaseStreamApp.java @@ -29,6 +29,7 @@ public abstract class BaseStreamApp { env.setRestartStrategy(RestartStrategies.fixedDelayRestart(3, 3000L)); env.setStateBackend(new FsStateBackend(PHMConfig.RT_CHECKPOINT_LOCATION)); System.setProperty("HADOOP_USER_NAME", PHMConfig.HADOOP_USER_NAME); + System.setProperty("java.vm.name","Java HotSpot(TM) ");//使用的JDK版本 //模板 execute(env); env.execute(); diff --git a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/dwm/WindCMSApp.java b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/dwm/WindCMSApp.java index 6163050..048e64c 100644 --- a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/dwm/WindCMSApp.java +++ b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/dwm/WindCMSApp.java @@ -5,7 +5,9 @@ import com.alibaba.fastjson.JSONArray; import com.alibaba.fastjson.JSONObject; import com.cqu.warehouse.realtime.app.base.BaseStreamApp; import com.cqu.warehouse.realtime.app.func.DataSamplingFunction; +import com.cqu.warehouse.realtime.app.func.FFTSamplingFunction; import com.cqu.warehouse.realtime.utils.MyKafkaUtils; +import jdk.nashorn.internal.ir.debug.ObjectSizeCalculator; import org.apache.flink.api.common.eventtime.SerializableTimestampAssigner; import org.apache.flink.api.common.eventtime.WatermarkStrategy; import org.apache.flink.api.common.functions.RichMapFunction; @@ -200,6 +202,10 @@ public class WindCMSApp extends BaseStreamApp { @Override public void process(Tuple2 stringStringTuple2, ProcessWindowFunction, TimeWindow>.Context context, Iterable iterable, Collector collector) throws Exception { JSONObject obj = null; + //参考:https://zhuanlan.zhihu.com/p/534376156 + //经过测试:1000个点一发:iterable500M + //10000个点一发:iterable370M + System.out.println("iterable_data_size:" + ObjectSizeCalculator.getObjectSize(iterable)); for (JSONObject jsonObject : iterable) { if (obj == null) { obj = jsonObject; @@ -212,15 +218,40 @@ public class WindCMSApp extends BaseStreamApp { } } ); + + + //TODO 6.计算频谱 --不知道要计算多久,使用异步Stream进行计算 + SingleOutputStreamOperator fftDS = AsyncDataStream.unorderedWait( + mergeDS, + new FFTSamplingFunction() { + @Override + protected void setTransformData(JSONObject jsonObject, List fft) { + jsonObject.put("x", fft); + } + + @Override + protected List getTransformData(JSONObject jsonObject) { + return jsonObject.getJSONArray("x").toJavaList(Double.class); + } + }, + 60, TimeUnit.SECONDS + ); + //TODO 合并的结果大概有10000个数据:判断是否合理 mergeDS.print(">>>"); +// fftDS.print(">>>"); //TODO 5.写回kafka - mergeDS - .map(jsonObject -> jsonObject.toJSONString()) - .addSink( - MyKafkaUtils.getKafkaSink("dwm_wind_cms_10_downsampling") - ); +// mergeDS +// .map(jsonObject -> jsonObject.toJSONString()) +// .addSink( +// MyKafkaUtils.getKafkaSink("dwm_wind_cms_10_downsampling") +// ); +// fftDS +// .map(jsonObject -> jsonObject.toJSONString()) +// .addSink( +// MyKafkaUtils.getKafkaSink("dwm_wind_cms_10_frequency") +// ); } } diff --git a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/FFTSamplingFunction.java b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/FFTSamplingFunction.java new file mode 100644 index 0000000..0dc672d --- /dev/null +++ b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/FFTSamplingFunction.java @@ -0,0 +1,34 @@ +package com.cqu.warehouse.realtime.app.func; + +import com.cqu.warehouse.realtime.utils.TransformUtils; +import jdk.nashorn.internal.ir.debug.ObjectSizeCalculator; +import org.apache.flink.streaming.api.functions.async.AsyncFunction; +import org.apache.flink.streaming.api.functions.async.ResultFuture; + +import java.util.Collections; +import java.util.List; + +/** + *@BelongsProject: phm_parent + *@BelongsPackage: com.cqu.warehouse.realtime.app.func + *@Author: markilue + *@CreateTime: 2023-05-24 17:46 + *@Description: TODO 计算数据的FFT + *@Version: 1.0 + */ +public abstract class FFTSamplingFunction implements AsyncFunction { + + + @Override + public void asyncInvoke(T t, ResultFuture resultFuture) throws Exception { + List transformData = getTransformData(t); + List fft = TransformUtils.fft(transformData); + setTransformData(t,fft); + System.out.println("fftDataSize:"+ObjectSizeCalculator.getObjectSize(t)); + resultFuture.complete(Collections.singleton(t)); + } + + protected abstract void setTransformData(T t, List fft); + + protected abstract List getTransformData(T t); +} diff --git a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/format.json b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/format.json index 5f75232..80cf3e7 100644 --- a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/format.json +++ b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/app/func/format.json @@ -13373,4 +13373,13119 @@ "windfarm": "华能三塘湖项目（一期）", "RPM": 14.41, "ts": 1529253290000 +} + +//cms fft之后的数据 +{ + "wt_no": 5, + "realtime": "20180618003450", + "g": 3, + "freq": "25600", + "x": [ + 0.024937801518094965, + 0.006237987779865597, + 0.006366990450828672, + 0.0037352987818748714, + 0.0016164387215916345, + 0.003612048222019508, + 0.0013053162669418113, + 6.470945978785832E-4, + 0.0032420359364777026, + 0.002252693375921795, + 0.0018204396733314913, + 0.002061019606912809, + 0.0029974439495146625, + 0.003214392482306034, + 0.004019331827634978, + 0.0027065634199548855, + 0.0014859880642757427, + 0.0016566557378327833, + 0.0024287059677317612, + 0.0013952307635659849, + 0.0011969580846544069, + 0.0017576540681826923, + 0.0026031103107264247, + 0.0013201008835698655, + 0.002217718185817351, + 0.0029648238361355307, + 0.0018484053337773877, + 0.0014146117490056354, + 0.0023391158741072277, + 0.0015813178076503882, + 0.001117363103564986, + 0.001321729242831095, + 0.0016391305705687122, + 5.573049437557093E-4, + 0.0022614788686588115, + 0.0030027582721130265, + 3.6709527157314695E-4, + 0.0029033994150495786, + 0.002143409472271321, + 0.0031628975316382564, + 0.0020021066994108947, + 0.0018296806255586387, + 0.002594051391762434, + 0.0011676366908927936, + 0.0011927041981101914, + 0.0018827560493031162, + 4.646990482978769E-4, + 9.02361292789805E-4, + 0.002088625607639625, + 0.0032650622310350145, + 7.895938409445821E-4, + 0.0035744118565129266, + 0.0026017395316023295, + 0.0018533687591099544, + 0.0010033568857326742, + 0.0026008325449046973, + 0.0018511793671875294, + 0.0011366510553996732, + 0.002096367863877961, + 0.0016791294639636751, + 0.002891170596363311, + 1.790580491177691E-4, + 0.0029025505601968085, + 0.002410953194556179, + 6.991366420042301E-4, + 0.00413356888478048, + 0.0012255252511287268, + 0.001096451988676848, + 0.0017093895402207435, + 0.0012785353487267878, + 0.00204707812878527, + 0.0023630161304856296, + 9.988862431654464E-4, + 0.0012528361004449928, + 0.003004673619520351, + 0.0014472180532511644, + 0.0013134765944608517, + 0.0016081084017146243, + 0.003375394622931731, + 0.0030698004884681385, + 8.691932940012975E-4, + 0.0015414262122665668, + 0.003049510051692885, + 0.0023418905886825317, + 0.002223922017833135, + 7.23646873132027E-4, + 6.96021003382363E-4, + 0.0012741208030092425, + 0.0028102187161222034, + 7.01749419157204E-4, + 3.3194184797327486E-4, + 0.0022239611818621434, + 0.0021930770375592277, + 0.0011574682136457784, + 0.003315226124801803, + 0.0035759576216607106, + 0.001074306264548047, + 0.0015677610138603892, + 0.0017500577780805151, + 0.0034319986756406223, + 6.86539996256188E-4, + 0.0017754183287953045, + 0.0013247419826660162, 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a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/utils/TransformUtils.java b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/utils/TransformUtils.java index cc8b964..d14b2a9 100644 --- a/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/utils/TransformUtils.java +++ b/phm_rotate/backend/phm_backend/warehouse/rt-warehouse/src/main/java/com/cqu/warehouse/realtime/utils/TransformUtils.java @@ -1,8 +1,12 @@ package com.cqu.warehouse.realtime.utils; +import com.cqu.algorithm.fft.Complex; +import com.cqu.algorithm.fft.FFT; import org.jtransforms.dct.DoubleDCT_1D; import org.jtransforms.fft.DoubleFFT_1D; +import java.util.ArrayList; +import java.util.Arrays; import java.util.List; /** @@ -16,21 +20,59 @@ import java.util.List; * 2)DCT * 3)DST * 4)DHT + * 参考: *@Version: 1.0 */ public class TransformUtils { - public static void fft(double[] data) { - new DoubleFFT_1D(data.length).complexForward(data); + private static Complex[] buildComplex(double[] raw) { + Complex[] complexes = new Complex[raw.length]; + for (int i = 0; i < complexes.length; i++) { + complexes[i] = new Complex(raw[i]); + } + return complexes; } - public static double[] fft(List data) { - double[] raw = new double[data.size()]; - for (int i = 0; i < raw.length; i++) { - raw[i] = data.get(i); + private static Complex[] buildComplex(List raw) { + Complex[] complexes = new Complex[raw.size()]; + for (int i = 0; i < complexes.length; i++) { + complexes[i] = new Complex(raw.get(i)); } -// fft(data.toArray(new Double[0])); - fft(raw); - return raw; + return complexes; + } + + public static List fft(double[] data) { + Complex[] raw = buildComplex(data); + Complex[] fft = FFT.fft(raw, raw.length); + return calculateAmplitude(fft); + } + + public static List fft(List data) { + Complex[] raw = buildComplex(data); + Complex[] fft = FFT.fft(raw, raw.length); + return calculateAmplitude(fft); + } + + private static List calculateAmplitude(Complex[] fft) { + List amplitudeList = new ArrayList<>(); + for (Complex complex : fft) { + amplitudeList.add(complex.divide(fft.length).getAmplitude()); + } + return amplitudeList; + } + + public static void main(String[] args) { + double[] array = {-0.029078494757, -0.33095228672, -0.12124221772, 0.553512275219, -0.158036053181, + 0.268739402294, + -0.638222515583, + 0.233140587807, + -0.173265621066, + 0.467218101025, + -0.372010827065, + -0.136630430818, + 0.343256533146, + 0.008932195604}; + List fft = fft(array); + System.out.println(fft); } }