init number dir create listOfIntegers function then write testCases for that function

src/pages/number/generate/generate.service.test.ts

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+// Import necessary modules and functions
+import { describe, it, expect } from 'vitest';
+import { listOfIntegers } from './service';
+
+// Define test cases for the listOfIntegers function
+describe('listOfIntegers function', () => {
+    it('should generate a list of integers with comma separator', () => {
+        const initialValue = 1;
+        const step = 2;
+        const count = 5;
+        const separator = ', ';
+
+        const result = listOfIntegers(initialValue, count, step, separator);
+        expect(result).toBe('1, 3, 5, 7, 9');
+    });
+
+    it('should generate a list of integers with dash separator', () => {
+        const initialValue = 0;
+        const step = 3;
+        const count = 4;
+        const separator = ' - ';
+
+        const result = listOfIntegers(initialValue, count, step, separator);
+        expect(result).toBe('0 - 3 - 6 - 9');
+    });
+
+    it('should handle negative initial value and step', () => {
+        const initialValue = -10;
+        const step = -2;
+        const count = 5;
+        const separator = ' ';
+
+        const result = listOfIntegers(initialValue, count, step, separator);
+        expect(result).toBe('-10 -12 -14 -16 -18');
+    }); 
+
+    it('should handle negative initial value and positive step', () => {
+        const initialValue = -10;
+        const step = 2;
+        const count = 5;
+        const separator = ' ';
+
+        const result = listOfIntegers(initialValue, count, step, separator);
+        expect(result).toBe('-10 -8 -6 -4 -2');
+    }); 
+
+    it('should float value', () => {
+        const initialValue = -10;
+        const step = 2.5;
+        const count = 5;
+        const separator = ' ';
+
+        const result = listOfIntegers(initialValue, count, step, separator);
+        expect(result).toBe('-10 -7.5 -5 -2.5 0');
+    }); 
+});

src/pages/number/generate/index.tsx

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+import { Box } from '@mui/material';
+import React from 'react';
+import * as Yup from 'yup';
+
+const initialValues = {};
+const validationSchema = Yup.object({
+  // splitSeparator: Yup.string().required('The separator is required')
+});
+export default function Generate() {
+  return <Box>Lorem ipsum</Box>;
+}

src/pages/number/generate/meta.ts

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+import { defineTool } from '@tools/defineTool';
+import { lazy } from 'react';
+// import image from '@assets/text.png';
+
+export const tool = defineTool('number', {
+  name: 'Generate',
+  path: 'generate',
+  // image,
+  description: '',
+  keywords: ['generate'],
+  component: lazy(() => import('./index'))
+});

src/pages/number/generate/service.ts

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+export function listOfIntegers(
+    first_value: number, 
+    number_of_numbers: number,
+    step: number,
+    separator: string) {
+        const result: number[] = [];
+        for (let i: number= 0; i <number_of_numbers; i++) {
+            const value: number = first_value + i * step;
+            result.push(value);
+        }
+        return result.join(separator);
+    }   

src/pages/number/index.ts

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+import { tool as generate } from './generate/meta';
+// index.ts file