benchmarkfcns.giuntan2

benchmarkfcns.giuntan2(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of the Giunta N. 2 benchmark function. SCORES = giuntan2(X) computes the value of the function at point X. giuntan2 accepts a matrix of size M-by-4 and returns a vector SCORES of size M-by-1. Properties:

• Global minimum: 0

• Location of global minimum: [16, 19, 43, 49]

• Number of dimensions: 4

• Recommended domain: [12, 60]^4

• Modality: multimodal

Mathematical Definition

\[f(x_1, x_2, x_3, x_4) = 0.6 + \sum_{i=1}^4 \left[ \sin(\frac{16}{15}x_i - 1) + \sin^2(\frac{16}{15}x_i - 1) + \frac{1}{50}\sin(4(\frac{16}{15}x_i - 1)) \right]\]

Visualization

No visualization available for this function.