1+ package com .jdoe .algorithms ;
2+
3+ public class CompositeDOE {
4+
5+ public static void centralCompositeDesign () {
6+
7+ }
8+
9+ }
10+
11+ //<-----------------------------STEPS---------------------------------->
12+
13+ /**
14+ * Detailed Steps to Port Central Composite Design Script to Java 1. Create CompositeDOE Class Structure Create CompositeDOE.java in
15+ * com.jdoe.algorithms package Add imports: org.apache.commons.math3.linear.* for matrix operations Define method signature: public static
16+ * RealMatrix centralCompositeDesign(int n, int[] center, String alpha, String face) Set default parameters handling for center, alpha, and
17+ * face 2. Implement Input Validation Logic Add assertion: assert n > 1 : "\"n\" must be an integer greater than 1" Validate alpha parameter
18+ * with: alpha.toLowerCase() and check against allowed values Validate face parameter with: face.toLowerCase() and check against allowed
19+ * values Validate center array length: if (center.length != 2) throw IllegalArgumentException Format error messages to match Python
20+ * implementation 3. Implement Star Point Generation Create StarDOE.java class with star method Calculate alpha based on alpha type: For
21+ * orthogonal: alpha = Math.pow(2 * factorial(n), 0.25) where factorial(n) = n! For rotatable: alpha = Math.pow(2, 0.5) for 2D, Math.pow(3,
22+ * 0.5) for 3D, etc. Generate 2n star points with values [±alpha, 0, ..., 0], [0, ±alpha, ..., 0], etc. Return both star matrix and alpha
23+ * value as an Object array 4. Enhance FactorialDOE Class Add ff2n method that generates 2-level factorial design Create 2^n × n matrix with
24+ * values -1 and +1 Use bit manipulation: for each row i and column j, set value to ((i >> j) & 1) == 0 ? -1 : 1 Return RealMatrix object 5.
25+ * Create UnionDOE Class Implement union method that combines two matrices vertically Use Array2DRowRealMatrix constructor to create new
26+ * matrix with combined rows Copy data from both input matrices to the result matrix Return the concatenated matrix 6. Create
27+ * RepeatCenterDOE Class Implement repeatCenter method that generates center points Create repeats × n matrix filled with zeros Use new
28+ * Array2DRowRealMatrix(repeats, n) to initialize matrix Return the center point matrix 7. Implement Core Algorithm Logic Initialize H1 and
29+ * H2 matrices based on face type For inscribed (cci): scale factorial points H1 = H1.scalarMultiply(1.0/a) For faced (ccf): set alpha to
30+ * 1.0 For circumscribed (ccc): keep original factorial points Generate center points C1 and C2 using repeatCenter Combine matrices: H1 =
31+ * union(H1, C1), H2 = union(H2, C2), H = union(H1, H2) 8. Handle Matrix Operations Implement matrix scaling using scalarMultiply() method
32+ * from Commons Math Ensure all matrix dimensions are compatible for union operations Use getSubMatrix() and setSubMatrix() for matrix
33+ * manipulations Return final RealMatrix object 9. Create Unit Tests Create CompositeDOETest.java with comprehensive test cases Test all
34+ * three face types: ccc, cci, ccf Test both alpha types: orthogonal, rotatable Validate matrix dimensions: (2^n + 2n + sum(center)) × n
35+ * Verify center point counts and star point distances 10. Add Documentation and Error Handling Add JavaDoc explaining parameters, return
36+ * value, and exceptions Implement proper exception handling for invalid inputs Include example usage in documentation Follow the same error
37+ * message format as Python implementation
38+ */
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