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;
    }
}