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In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees.\r\n\r\n## Types of algorithms\r\n\r\n1. Monotone cubic Hermit interpolation [Reference](https://en.wikipedia.org/wiki/Monotone_cubic_interpolation)\r\n\r\nIn the mathematical field of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated.\r\n\r\nMonotonicity is preserved by linear interpolation but not guaranteed by cubic interpolation.\r\n\r\n1. Natural Cubic Spline - [Reference](https://towardsdatascience.com/numerical-interpolation-natural-cubic-spline-52c1157b98ac)\r\n\r\nIt is a piece-wise cubic polynomial that is twice continuously differentiable. It is considerably ‘stiffer’ than a polynomial in the sense that it has less tendency to oscillate between data points.\r\n\r\n## Installation\r\n\r\n```sh\r\nnpm install @adaskothebeast/splines --save\r\n```\r\n\r\n```sh\r\nyarn add @adaskothebeast/splines\r\n```\r\n\r\n## Usage\r\n\r\nInitialize first with pairs of x and y numbers array.\r\n\r\n```ts\r\nconst values: NumberPair[] = [new NumberPair(1, 5), new NumberPair(2, 6.5), ...];\r\n\r\n//or\r\nconst values: NumberTuple[] = [[1, 5], [2, 6.5], ...];\r\n\r\nconst spline = new MonotoneCubicHermiteInterpolation(values);\r\n\r\nconst result = spline.interpolate(1.3);\r\n```\r\n","readmeFilename":"README.md"}