def f16(x, rotation=None, shift=None, shuffle=None):
"""
Hybrid Function 6 (N=4)
Args:
x (array): Input vector of dimension 2, 10, 20, 30, 50 or 100.
rotation (matrix): Optional rotation matrix. If None (default), the
official matrix from the benchmark suite will be used.
shift (array): Optional shift vector. If None (default), the official
vector from the benchmark suite will be used.
shuffle (array): Optionbal shuffle vector. If None (default), the
official permutation vector from the benchmark suite will be used.
"""
nx = len(x)
if rotation is None:
rotation = transforms.rotations[nx][15]
if shift is None:
shift = transforms.shifts[15][:nx]
if shuffle is None:
shuffle = transforms.shuffles[nx][5]
x_transformed = np.matmul(rotation, x - shift)
x_parts = _shuffle_and_partition(x_transformed, shuffle,
[0.2, 0.2, 0.3, 0.3])
y = basic.expanded_schaffers_f6(x_parts[0])
y += basic.h_g_bat(x_parts[1])
y += basic.rosenbrock(x_parts[2])
y += basic.modified_schwefel(x_parts[3])
return y + 1600.0
def f13(x, rotation=None, shift=None, shuffle=None):
"""
Hybrid Function 3 (N=3)
Args:
x (array): Input vector of dimension 2, 10, 20, 30, 50 or 100.
rotation (matrix): Optional rotation matrix. If None (default), the
official matrix from the benchmark suite will be used.
shift (array): Optional shift vector. If None (default), the official
vector from the benchmark suite will be used.
shuffle (array): Optionbal shuffle vector. If None (default), the
official permutation vector from the benchmark suite will be used.
"""
nx = len(x)
if rotation is None:
rotation = transforms.rotations[nx][12]
if shift is None:
shift = transforms.shifts[12][:nx]
if shuffle is None:
shuffle = transforms.shuffles[nx][2]
x_transformed = np.matmul(rotation, x - shift)
x_parts = _shuffle_and_partition(x_transformed, shuffle, [0.3, 0.3, 0.4])
y = basic.bent_cigar(x_parts[0])
y += basic.rosenbrock(x_parts[1])
y += basic.lunacek_bi_rastrigin(x_parts[2])
return y + 1300.0
def f4(x, rotation=None, shift=None):
"""
Shifted and Rotated Rosenbrock’s Function
Args:
x (array): Input vector of dimension 2, 10, 20, 30, 50 or 100.
rotation (matrix): Optional rotation matrix. If None (default), the
official matrix from the benchmark suite will be used.
shift (array): Optional shift vector. If None (default), the official
vector from the benchmark suite will be used.
"""
nx = len(x)
if rotation is None:
rotation = transforms.rotations[nx][3]
if shift is None:
shift = transforms.shifts[3][:nx]
x_transformed = np.matmul(rotation, (x - shift))
return basic.rosenbrock(x_transformed) + 400.0