add @types/integreate-adaptive-simpson (#37267)

* add integreate-adaptive-simpson

* correct vector definition

types/integrate-adaptive-simpson/index.d.ts

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+// Type definitions for integrate-adaptive-simpson 1.1
+// Project: https://github.com/scijs/integrate-adaptive-simpson#readme
+// Definitions by: Aimee Gamble-Milner <https://github.com/aimee-gm>
+// Definitions: https://github.com/DefinitelyTyped/DefinitelyTyped
+
+type Func = (val: number) => number;
+
+declare function integrate(f: Func, a: number, b: number, tol?: number, maxdepth?: number): number;
+
+export = integrate;

types/integrate-adaptive-simpson/integrate-adaptive-simpson-tests.ts

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+import integrate = require('integrate-adaptive-simpson');
+import integrateVector = require('integrate-adaptive-simpson/vector');
+
+const functionTotest = (x: number) => x * 4;
+
+const integral: number = integrate(functionTotest, 12, 0);
+integrate(functionTotest, 12, 0, 0.01);
+integrate(functionTotest, 12, 0, 0.01, 17);
+
+const ventorIntegral: number[] = integrateVector(functionTotest, 12, 0);
+integrateVector(functionTotest, 12, 0, 0.01);
+integrateVector(functionTotest, 12, 0, 0.01, 17);

types/integrate-adaptive-simpson/tsconfig.json

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+{
+    "compilerOptions": {
+        "module": "commonjs",
+        "lib": [
+            "es6"
+        ],
+        "noImplicitAny": true,
+        "noImplicitThis": true,
+        "strictFunctionTypes": true,
+        "strictNullChecks": true,
+        "baseUrl": "../",
+        "typeRoots": [
+            "../"
+        ],
+        "types": [],
+        "noEmit": true,
+        "forceConsistentCasingInFileNames": true
+    },
+    "files": [
+        "index.d.ts",
+        "vector.d.ts",
+        "integrate-adaptive-simpson-tests.ts"
+    ]
+}

types/integrate-adaptive-simpson/tslint.json

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+{ "extends": "dtslint/dt.json" }

types/integrate-adaptive-simpson/vector.d.ts

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+type Func = (val: number) => number;
+
+declare function integrate(f: Func, a: number, b: number, tol?: number, maxdepth?: number): number[];
+
+export = integrate;