11.10 update

MRTK test/Assets/Prefabs/Ellipse.prefab

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MRTK test/Assets/Prefabs/Spline.prefab

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MRTK test/Assets/Scripts/Calculator2D.cs

+using System;
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Calculator2D
+{
+    public static float x;
+
+    public float getNum(string s, ref int index)
+    {
+        bool end = false;
+        string num = "";
+
+        while(!end && index < s.Length)
+        {
+            if ((s[index] >= '0' && s[index] <= '9') || s[index] == '.')
+            {
+                num += s[index];
+                index++;
+            }
+            else
+                break;
+        }
+        index--;
+        return float.Parse(num);
+    }
+    //'('-0, '+-'-1,'*/'-2,'sct^l'-3
+    private bool calculateStack(int prior, ref Stack<float> numstack, ref Stack<char> opstack)
+    {
+        while(opstack.Count > 0)
+        {
+            char operater = opstack.Peek();
+            float num1;
+            float num2;
+            switch (operater)
+            {
+                case '+':
+                    if (prior == 1 || prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 + num1);
+                    break;
+                case '-':
+                    if (prior == 1 || prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 - num1);
+                    break;
+                case '*':
+                    if (prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 * num1);
+                    break;
+                case '/':
+                    if (prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    if (num1 == 0)
+                        return false;
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 / num1);
+                    break;
+                case '(':
+                    if(prior == 0)
+                        opstack.Pop();
+                    return true;
+                case 's':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Sin(num1));
+                    break;
+                case 'c':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Cos(num1));
+                    break;
+                case 't':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Tan(num1));
+                    break;
+                case '^':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Pow(num2, num1));
+                    break;
+                case 'l':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    if(num1 <= 0)
+                        return false;
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    if(num2 <=0 || num2 == 1)
+                        return false;
+                    numstack.Push(Mathf.Log(num1, num2));
+                    break;
+                default:
+                    break;
+            }
+        }
+        return true;
+    }
+
+    public bool calculate2D(string s, float xIn, out float yOut)
+    {
+        x = xIn;
+        yOut = 0;
+        Stack<char> opstack = new Stack<char>();
+        Stack<float> numstack = new Stack<float>();
+        int length = s.Length;
+        int index;
+        char peek;
+
+        for (index = 0; index < length; ++index)
+        {
+            if(s[index] == '+' || s[index] == '-')
+            {
+                if(index == 0)
+                {
+                    s = "0" + s;
+                    length++;
+                }
+                else
+                {
+                    if(s[index - 1] == '(')
+                    {
+                        s.Insert(index - 1, "0");
+                        length++;
+                    }
+                }
+            }
+        }
+
+        index = 0;
+
+        while (index < length)
+        {
+            Debug.Log(s[index]);
+            switch (s[index])
+            {
+                case '0':
+                case '1':
+                case '2':
+                case '3':
+                case '4':
+                case '5':
+                case '6':
+                case '7':
+                case '8':
+                case '9':
+                    numstack.Push(getNum(s, ref index));
+                    break;
+                case 'x':
+                    numstack.Push(x);
+                    break;
+                case '(':
+                    opstack.Push('(');
+                    break;
+                case ')':
+                    if(!calculateStack(0, ref numstack, ref opstack))
+                        return false;
+                    break;
+                case '+':
+                    if(opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-')
+                        {
+                            if (!calculateStack(1, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('+');
+                    break;
+                case '-':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-')
+                        {
+                            if (!calculateStack(1, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('-');
+                    break;
+                case '*':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-' && peek != '*' && peek != '/')
+                        {
+                            if (!calculateStack(2, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('*');
+                    break;
+                case '/':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-' && peek != '*' && peek != '/')
+                        {
+                            if (!calculateStack(2, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('/');
+                    break;
+                case 's':
+                    if (s[index + 1] == 'i' && s[index + 2] == 'n' && s[index + 3] == '(')
+                    {
+                        opstack.Push('s');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case 'c':
+                    if (s[index + 1] == 'o' && s[index + 2] == 's' && s[index + 3] == '(')
+                    {
+                        opstack.Push('c');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case 't':
+                    if (s[index + 1] == 'a' && s[index + 2] == 'n' && s[index + 3] == '(')
+                    {
+                        opstack.Push('t');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case '^':
+                    opstack.Push('^');
+                    break;
+                case 'l':
+                    if (s[index + 1] == 'o' && s[index + 2] == 'g' && s[index + 3] == '(')
+                    {
+                        opstack.Push('l');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                default:
+                    break;
+            }
+            index++;
+        }
+        while(opstack.Count > 0)
+        {
+            calculateStack(3, ref numstack, ref opstack);
+        }
+        yOut = numstack.Peek();
+        return true;
+    }
+
+}

MRTK test/Assets/Scripts/Calculator3D.cs

+using System;
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Calculator3D
+{
+    public static float x;
+    public static float y;
+
+    public float getNum(string s, ref int index)
+    {
+        bool end = false;
+        string num = "";
+
+        while (!end && index < s.Length)
+        {
+            if ((s[index] >= '0' && s[index] <= '9') || s[index] == '.')
+            {
+                num += s[index];
+                index++;
+            }
+            else
+                break;
+        }
+        index--;
+        return float.Parse(num);
+    }
+    //'('-0, '+-'-1,'*/'-2,'sct^l'-3
+    private bool calculateStack(int prior, ref Stack<float> numstack, ref Stack<char> opstack)
+    {
+        while (opstack.Count > 0)
+        {
+            char operater = opstack.Peek();
+            float num1;
+            float num2;
+            switch (operater)
+            {
+                case '+':
+                    if (prior == 1 || prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 + num1);
+                    break;
+                case '-':
+                    if (prior == 1 || prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 - num1);
+                    break;
+                case '*':
+                    if (prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 * num1);
+                    break;
+                case '/':
+                    if (prior == 2)
+                        return true;
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    if (num1 == 0)
+                        return false;
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(num2 / num1);
+                    break;
+                case '(':
+                    if (prior == 0)
+                        opstack.Pop();
+                    return true;
+                case 's':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Sin(num1));
+                    break;
+                case 'c':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Cos(num1));
+                    break;
+                case 't':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Tan(num1));
+                    break;
+                case '^':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    numstack.Push(Mathf.Pow(num2, num1));
+                    break;
+                case 'l':
+                    opstack.Pop();
+                    num1 = numstack.Peek();
+                    numstack.Pop();
+                    if (num1 <= 0)
+                        return false;
+                    num2 = numstack.Peek();
+                    numstack.Pop();
+                    if (num2 <= 0 || num2 == 1)
+                        return false;
+                    numstack.Push(Mathf.Log(num1, num2));
+                    break;
+                default:
+                    break;
+            }
+        }
+        return true;
+    }
+
+    public bool calculate3D(string s, float xIn, float yIn, out float zOut)
+    {
+        x = xIn;
+        y = yIn;
+        zOut = 0;
+        Stack<char> opstack = new Stack<char>();
+        Stack<float> numstack = new Stack<float>();
+        int length = s.Length;
+        int index;
+        char peek;
+
+        for (index = 0; index < length; ++index)
+        {
+            if (s[index] == '+' || s[index] == '-')
+            {
+                if (index == 0)
+                {
+                    s = "0" + s;
+                    length++;
+                }
+                else
+                {
+                    if (s[index - 1] == '(')
+                    {
+                        s.Insert(index - 1, "0");
+                        length++;
+                    }
+                }
+            }
+        }
+
+        index = 0;
+
+        while (index < length)
+        {
+            switch (s[index])
+            {
+                case '0':
+                case '1':
+                case '2':
+                case '3':
+                case '4':
+                case '5':
+                case '6':
+                case '7':
+                case '8':
+                case '9':
+                    numstack.Push(getNum(s, ref index));
+                    break;
+                case 'x':
+                    numstack.Push(x);
+                    break;
+                case 'y':
+                    numstack.Push(y);
+                    break;
+                case '(':
+                    opstack.Push('(');
+                    break;
+                case ')':
+                    if (!calculateStack(0, ref numstack, ref opstack))
+                        return false;
+                    break;
+                case '+':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-')
+                        {
+                            if (!calculateStack(1, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('+');
+                    break;
+                case '-':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-')
+                        {
+                            if (!calculateStack(1, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('-');
+                    break;
+                case '*':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-' && peek != '*' && peek != '/')
+                        {
+                            if (!calculateStack(2, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('*');
+                    break;
+                case '/':
+                    if (opstack.Count != 0)
+                    {
+                        peek = opstack.Peek();
+                        if (peek != '+' && peek != '-' && peek != '*' && peek != '/')
+                        {
+                            if (!calculateStack(2, ref numstack, ref opstack))
+                                return false;
+                        }
+                    }
+                    opstack.Push('/');
+                    break;
+                case 's':
+                    if (s[index + 1] == 'i' && s[index + 2] == 'n' && s[index + 3] == '(')
+                    {
+                        opstack.Push('s');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case 'c':
+                    if (s[index + 1] == 'o' && s[index + 2] == 's' && s[index + 3] == '(')
+                    {
+                        opstack.Push('c');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case 't':
+                    if (s[index + 1] == 'a' && s[index + 2] == 'n' && s[index + 3] == '(')
+                    {
+                        opstack.Push('t');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                case '^':
+                    opstack.Push('^');
+                    break;
+                case 'l':
+                    if (s[index + 1] == 'o' && s[index + 2] == 'g' && s[index + 3] == '(')
+                    {
+                        opstack.Push('l');
+                        opstack.Push('(');
+                        index += 3;
+                    }
+                    break;
+                default:
+                    break;
+            }
+            index++;
+        }
+        while (opstack.Count > 0)
+        {
+            calculateStack(3, ref numstack, ref opstack);
+        }
+        zOut = numstack.Peek();
+        //Debug.Log(x.ToString() + "," + y.ToString() + "=" + zOut.ToString());
+        return true;
+    }
+
+}

MRTK test/Assets/Scripts/Functions/Customized.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Customized : MonoBehaviour
+{
+    Mesh mesh;
+
+    Calculator2D calculator2D;
+
+    public string formula;
+
+    public int minX;
+    public int maxX;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Customized"
+        };
+        calculator2D = new Calculator2D();
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawCustomized()
+    {
+        mesh.Clear();
+
+        bool isContinue = false;
+
+        Vector3[] vectors = new Vector3[100 * (maxX - minX) + 1];
+        int[] triangle = new int[100 * (maxX - minX) * 2];
+        int k = 0;
+        float step = 0.01f;
+        for (float i = minX; i <= maxX + 0.01f; i += step)
+        {
+            float y = 0;
+            if(calculator2D.calculate2D(formula, i ,out y))
+            {
+                vectors[k] = new Vector3(i, y, 0);
+                if (isContinue)
+                {
+                    triangle[2 * (k - 1)] = k - 1;
+                    triangle[2 * (k - 1) + 1] = k;
+                }
+                else
+                {
+                    triangle[2 * (k - 1)] = k;
+                    triangle[2 * (k - 1) + 1] = k;
+                }
+                isContinue = true;
+            }
+            else
+            {
+                if (k != 0)
+                    vectors[k] = vectors[k - 1];
+                else
+                    vectors[k] = new Vector3(0, 0, -1000);
+                isContinue = false;
+            }
+            k++;
+        }
+        mesh.vertices = vectors;
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Ellipse.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Ellipse : MonoBehaviour
+{
+    Mesh mesh;
+    public Vector3 center;
+    public float a;
+    public float b;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Ellipse"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawEllipse()
+    {
+        mesh.Clear();
+
+        Vector3[] vectors = new Vector3[200];
+        int k = 0;
+        float step = a / 50;
+        for (float i = -a; i <= a; i += step)
+        {
+            float y = 1 - i * i / (a * a);
+            y *= (b * b);
+            y = Mathf.Sqrt(y);
+            vectors[k] = new Vector3(i, y, 0);
+            if (y != 0)
+            {
+                vectors[200 - k] = new Vector3(i, -y, 0);
+            }
+            k++;
+        }
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[400];
+        for (int i = 0; i < vectors.Length - 1; ++i)
+        {
+            triangle[2 * i] = i;
+            triangle[2 * i + 1] = i + 1;
+        }
+        triangle[398] = 199;
+        triangle[399] = 0;
+
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Exponential.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Exponential : MonoBehaviour
+{
+    Mesh mesh;
+
+    public int minX;
+    public int maxX;
+
+    public float factor;
+    public float c;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Exponential"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawExponential()
+    {
+        mesh.Clear();
+
+        float step = 0.01f;
+        Vector3[] vectors = new Vector3[100 * (maxX - minX) + 1];
+        int k = 0;
+        for (float i = minX; i <= maxX; i = i + step)
+        {
+            float y = Mathf.Pow(c, i);
+            y *= factor;
+            vectors[k] = new Vector3(i, y, 0);
+            k++;
+        }
+        vectors[100 * (maxX - minX)] = new Vector3(maxX, Mathf.Pow(c, maxX) * factor, 0);
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[100 * (maxX - minX) * 2];
+        for (int i = 0; i < vectors.Length - 1; ++i)
+        {
+            triangle[2 * i] = i;
+            triangle[2 * i + 1] = i + 1;
+        }
+
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Hyperbola.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Hyperbola : MonoBehaviour
+{
+    Mesh mesh;
+    public Vector3 center;
+    public float a;
+    public float b;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Hyperbola"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawHyperbola()
+    {
+        mesh.Clear();
+
+        Vector3[] vectors = new Vector3[202];
+        int k = 0;
+        float step = a / 100;
+        float x = -a;
+        while (k < 51)
+        {
+            float y = x * x / (a * a) - 1;
+            y *= (b * b);
+            y = Mathf.Sqrt(y);
+            vectors[50 + k] = new Vector3(x, y, 0);
+            if (y != 0)
+            {
+                vectors[50 - k] = new Vector3(x, -y, 0);
+            }
+            x -= step;
+            step *= 1.1f;
+            k++;
+        }
+
+        x = a;
+        step = a / 100;
+        k = 0;
+        while (k < 51)
+        {
+            float y = x * x / (a * a) - 1;
+            y *= (b * b);
+            y = Mathf.Sqrt(y);
+            vectors[151 + k] = new Vector3(x, y, 0);
+            if (y != 0)
+            {
+                vectors[151 - k] = new Vector3(x, -y, 0);
+            }
+            x += step;
+            step *= 1.1f;
+            k++;
+        }
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[400];
+        for (int i = 0; i < 100; ++i)
+        {
+            triangle[2 * i] = i;
+            triangle[2 * i + 1] = i + 1;
+        }
+        for (int i = 100; i < 200; ++i)
+        {
+            triangle[2 * i] = i + 1;
+            triangle[2 * i + 1] = i + 2;
+        }
+
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/InverseTri.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class InverseTri : MonoBehaviour
+{
+    Mesh mesh;
+
+    public int minX;
+    public int maxX;
+    public enum InverseTriTpye
+    {
+        Arcsin,
+        Arccos,
+        Arctan
+    }
+
+    public InverseTriTpye inverseTriTpye;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "InverseTri"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawInverseTri()
+    {
+        mesh.Clear();
+
+        if(inverseTriTpye != InverseTriTpye.Arctan)
+        {
+            float step = 0.01f;
+            Vector3[] vectors = new Vector3[100 * 2 + 1];
+            int k = 0;
+            for (float i = -1; i <= 1; i = i + step)
+            {
+                float y = i;
+                switch (inverseTriTpye)
+                {
+                    case InverseTriTpye.Arcsin:
+                        y = Mathf.Asin(y);
+                        break;
+                    case InverseTriTpye.Arccos:
+                        y = Mathf.Acos(y);
+                        break;
+                    default:
+                        break;
+                }
+                vectors[k] = new Vector3(i, y, 0);
+                k++;
+            }
+            switch (inverseTriTpye)
+            {
+                case InverseTriTpye.Arcsin:
+                    vectors[100 * 2] = new Vector3(1, Mathf.Asin(1), 0);
+                    break;
+                case InverseTriTpye.Arccos:
+                    vectors[100 * 2] = new Vector3(1, Mathf.Acos(1), 0);
+                    break;
+                default:
+                    break;
+            }
+            mesh.vertices = vectors;
+
+            int[] triangle = new int[100 * 2 * 2];
+            for (int i = 0; i < vectors.Length - 1; ++i)
+            {
+                if (vectors[i].y * vectors[i + 1].y >= 0)
+                {
+                    triangle[2 * i] = i;
+                    triangle[2 * i + 1] = i + 1;
+                }
+                else
+                {
+                    triangle[2 * i] = i;
+                    triangle[2 * i + 1] = i;
+                }
+            }
+            mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+        }
+        else
+        {
+            float step = 0.01f;
+            Vector3[] vectors = new Vector3[100 * (maxX - minX) + 1];
+            int k = 0;
+            for (float i = -1; i <= 1; i = i + step)
+            {
+                float y = i;
+                y = Mathf.Atan(y);
+                vectors[k] = new Vector3(i, y, 0);
+                k++;
+            }
+            vectors[100 * (maxX - minX)] = new Vector3(maxX, Mathf.Atan(maxX), 0);
+            mesh.vertices = vectors;
+
+            int[] triangle = new int[100 * (maxX - minX) * 2];
+            for (int i = 0; i < vectors.Length - 1; ++i)
+            {
+                if (vectors[i].y * vectors[i + 1].y >= 0)
+                {
+                    triangle[2 * i] = i;
+                    triangle[2 * i + 1] = i + 1;
+                }
+                else
+                {
+                    triangle[2 * i] = i;
+                    triangle[2 * i + 1] = i;
+                }
+            }
+            mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+        }
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Logarithmic.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Logarithmic : MonoBehaviour
+{
+    Mesh mesh;
+
+    public int maxX;
+    public float factor;
+    public float a;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Logarithmic"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawLogarithmic()
+    {
+        mesh.Clear();
+
+        float step = 0.01f;
+        Vector3[] vectors = new Vector3[100 * maxX];
+        int k = 0;
+        float down = Mathf.Log(a);
+        for (float i = step; i <= maxX; i = i + step)
+        {
+            float y = Mathf.Log(i) / down;
+            y *= factor;
+            vectors[k] = new Vector3(i, y, 0);
+            k++;
+        }
+        vectors[100 * maxX - 1] = new Vector3(maxX, Mathf.Log(maxX) / down * factor, 0);
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[100 * maxX * 2 - 2];
+        for (int i = 0; i < vectors.Length - 1; ++i)
+        {
+            triangle[2 * i] = i;
+            triangle[2 * i + 1] = i + 1;
+        }
+
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Spline.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Spline : MonoBehaviour
+{
+    Mesh mesh;
+
+    public int minX;
+    public int maxX;
+
+    public List<float> factors;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Spline"
+        };
+        factors = new List<float>();
+        factors.Add(1);
+        factors.Add(0);
+        factors.Add(1);
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawSpline()
+    {
+        mesh.Clear();
+
+        Vector3[] vectors = new Vector3[100 * (maxX - minX) + 1];
+        int k = 0;
+        float step = 0.01f;
+        for (float i = minX; i <= maxX; i+=step)
+        {
+            float y = 0;
+            for (int j = factors.Count - 1; j > 0; --j)
+            {
+                y += factors[j];
+                y *= i;
+            }
+            y += factors[0];
+            vectors[k] = new Vector3(i, y, 0);
+            k++;
+        }
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[100 * (maxX - minX) * 2];
+        for (int i = 0; i < vectors.Length - 1; ++i)
+        {
+            triangle[2 * i] = i;
+            triangle[2 * i + 1] = i + 1;
+        }
+
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+
+}

MRTK test/Assets/Scripts/Functions/ThreeD.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class ThreeD : MonoBehaviour
+{
+    Mesh mesh;
+
+    Calculator3D calculator3D;
+
+    public string formula;
+
+    public int minX;
+    public int maxX;
+    public int minY;
+    public int maxY;
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "ThreeD"
+        };
+        calculator3D = new Calculator3D();
+        DrawCustomized();
+    }
+
+    // Update is called once per frame
+    public void DrawCustomized()
+    {
+        mesh.Clear();
+
+        Vector3[] vectors = new Vector3[(10 * (maxX - minX) + 1) * (10 * (maxY - minY) + 1)];
+        int[] triangle = new int[100 * (maxX - minX) * (maxY - minY) * 2 * 3];
+        int k = 0;
+        float step = 0.1f;
+        for(float i = minX; i <= maxX + 0.01f; i += step)
+        {
+            for(float j = minY; j <= maxY + 0.01f; j += step)
+            {
+                float z = 0;
+                if(calculator3D.calculate3D(formula, i, j, out z))
+                {
+                    vectors[k] = new Vector3(i, j, z);
+                }
+                else
+                {
+                    vectors[k] = vectors[k - 1];
+                }
+                ++k;
+            }
+        }
+
+        int lineCount = 10 * (maxY - minY) + 1;
+        int line = 0;
+        for(int i = 0; i < lineCount - 1; ++i)
+        {
+            i *= lineCount;
+            for(int j = 0; j < lineCount - 1; ++j)
+            {
+                triangle[6 * (i + j - line)] = (i + j);
+                triangle[6 * (i + j - line) + 1] = (i + j) + 1;
+                triangle[6 * (i + j - line) + 2] = (i + j) + lineCount;
+                triangle[6 * (i + j - line) + 3] = (i + j) + 1; ;
+                triangle[6 * (i + j - line) + 4] = (i + j) + lineCount + 1;
+                triangle[6 * (i + j - line) + 5] = (i + j) + lineCount;
+            }
+            i /= lineCount;
+            line++;
+        }
+
+        mesh.vertices = vectors;
+        mesh.SetIndices(triangle, MeshTopology.Triangles, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/Functions/Trigonometric.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public class Trigonometric : MonoBehaviour
+{
+    Mesh mesh;
+
+    public int minX;
+    public int maxX;
+
+    public TriType triType;
+    public float a;
+    public float b;
+    public float factor;
+    public enum TriType
+    {
+        Sin,
+        Cos,
+        Tan
+    }
+    // Start is called before the first frame update
+    void Start()
+    {
+        mesh = new Mesh
+        {
+            name = "Trigonometric"
+        };
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        
+    }
+
+    public void DrawTrigonometric()
+    {
+        mesh.Clear();
+
+        float step = 0.01f;
+        Vector3[] vectors = new Vector3[100 * (maxX - minX) + 1];
+        int k = 0;
+        for (float i = minX; i <= maxX; i = i + step)
+        {
+            float y = a * i + b;
+            switch (triType)
+            {
+                case TriType.Sin:
+                    y = Mathf.Sin(y);
+                    break;
+                case TriType.Cos:
+                    y = Mathf.Cos(y);
+                    break;
+                case TriType.Tan:
+                    y = Mathf.Tan(y);
+                    break;
+                default:
+                    break;
+            }
+            y *= factor;
+            vectors[k] = new Vector3(i, y, 0);
+            k++;
+        }
+        switch (triType)
+        {
+            case TriType.Sin:
+                vectors[100 * (maxX - minX)] = new Vector3(maxX, Mathf.Sin(a * maxX + b) * factor, 0);
+                break;
+            case TriType.Cos:
+                vectors[100 * (maxX - minX)] = new Vector3(maxX, Mathf.Cos(a * maxX + b) * factor, 0);
+                break;
+            case TriType.Tan:
+                vectors[100 * (maxX - minX)] = new Vector3(maxX, Mathf.Tan(a * maxX + b) * factor, 0);
+                break;
+            default:
+                break;
+        }
+        mesh.vertices = vectors;
+
+        int[] triangle = new int[100 * (maxX - minX) * 2];
+        for (int i = 0; i < vectors.Length - 1; ++i)
+        {
+            if(vectors[i].y * vectors[i + 1].y >= 0)
+            {
+                triangle[2 * i] = i;
+                triangle[2 * i + 1] = i + 1;
+            }
+            else
+            {
+                triangle[2 * i] = i;
+                triangle[2 * i + 1] = i;
+            }
+        }
+        mesh.SetIndices(triangle, MeshTopology.Lines, 0);
+
+        GetComponent<MeshFilter>().mesh = mesh;
+    }
+}

MRTK test/Assets/Scripts/NormalFunctionTest.cs

@@ -53,9 +53,8 @@ public class NormalFunctionTest : MonoBehaviour
         //DrawHyperbola(new Vector3(0, 0, 0), 3, 2);
         //DrawExponential(2, 3);
         //DrawLogarithmic(2, 3);
-        DrawTrigonometric(TriType.Sin, 1, 0, 1);
-
-
+        //DrawTrigonometric(TriType.Sin, 1, 0, 1);
+        
     }
 
     // Update is called once per frame

doc/10.27/10.27.md

@@ -13,6 +13,7 @@
       * 将 Windows 和 HoloLens2 连接在同一局域网下，可以在 HoloLens2 的设置中看到其 IP，直接在电脑上访问
       * 调试需要在 HoloLens2 上下载 Holographic Remoting Player 软件并打开，再在 Unity 中 ’Window’-‘XR’-‘Holographic Emulation’ 中输入其 IP 并尝试连接
       * 尝试多次后依旧连接不上......
+        * 10.29：更新了 HoloLens2 的固件版本后，成功连接上
       * 根据官方文档，需要下载并导入 MRTK.Tutorials.PCHolograhicRemoting 包，将 HolographicRemoting 预制体拖入场景中，再使用 unity build 后在 VS 中运行
       * VS 编译未通过，暂时未成功
 

doc/11.10/11.10.md

+# 11.10
+
+* 整理之前测试用的代码，将基本函数剥离到各自的脚本中
+* 见 Functions -> Spline / Ellipse / Hyperbola / Exponential / Logarithmic / Trigonometric / InverseTri
+* 增加了自定义函数绘制的支持，结合之前做的 Calculator 进行 Mesh 绘制并且通过测试
+* 增加了三维自定义函数绘制的支持
+  * 目前只支持固定 X-Y 范围内的绘制，无法自定义复杂区间
+* 增加了函数断点的判断，从而支持绘制不完全连续的函数
+  * 但是在三维函数情况中，情况更为复杂，因而还未做相应的处理
+  * 而且参考中学数学，三维函数似乎只会用在平面之上，不会出现复杂情况

doc/11.3/11.3.md

+# 11.3
+
+## 10.29
+
+* 与 Microsoft 支持进行联系，更新了 HoloLens2 的固件版本，解决了有时无法开机以及连接不上 Unity 的问题
+* 在 HoloLens2 上尝试了 MRTK 中的实例场景：
+  * 对于物体的拖拽缩放，经常会出现由于手运动幅度太大导致离开识别范围，因而在设计时应该尽量避免大幅度的拖拽操作，保持物体在画面中心较好
+  * HoloLens2 对点击或是握拳选中的判定略有硬核，难以进行精确选择，因而物体交互的判定范围不能太小，尤其是选点之类的操作
+  * 相比之下，对于语音识别的精度就较高，可以考虑多加使用
+
+## 10.30
+
+* 参考之前学长做的 mathx 的 Hololens 版本（但是丢失了很多素材所以不能运行，只能看看脚本）
+* 沿用其中的 calculator 的想法，使引擎支持自定义函数的绘制，同时依旧保留基础函数的绘制功能（考虑到之后还需要定制化例如对称轴，焦点等特殊信息的绘制）