Vectors

Predicates

is_scalar(x)	Returns if x is a scalar
is_vec(x)	Returns if x is a line vector or row vector or column vector
is_line_vec(x)	Returns if x is a line vector
is_row_vec(x)	Returns if x is a row vector
is_col_vec(x)	Returns if x is a column vector
is_increasing_vec(x)	Returns if x is a vector with (strictly) increasing values
is_decreasing_vec(x)	Returns if x is a vector with (strictly) decreasing values
is_nonincreasing_vec(x)	Returns if x is a vector with non-increasing values
is_nondecreasing_vec(x)	Returns if x is a vector with non-decreasing values
has_equal_values_vec(x)	Returns if x is a vector with equal values

Unary Operations

to_row_vec(x)	Converts a line vector to a row vector
to_col_vec(x)	Converts a line vector to a column vector
vec_unit(n, i)	Returns a unit vector in i-th dimension for the standard coordinate system
vec_shift_right(x)	Right shift the contents of the vector
vec_rotate_right(x)	Circular right shift the contents of the vector
vec_shift_left(x)	Left shift the contents of the vector
vec_rotate_left(x)	Circular left shift the contents of the vector
vec_shift_right_n(x, n)	Right shift the contents of the vector by n places
vec_rotate_right_n(x, n)	Circular right shift the contents of the vector by n places
vec_shift_left_n(x, n)	Left shift the contents of the vector by n places
vec_rotate_left_n(x, n)	Circular left shift the contents of the vector by n places
vec_repeat_at_end(x, p)	Extends a vector by repeating it at the end (periodic extension)
vec_repeat_at_start(x, p)	Extends a vector by repeating it at the start (periodic extension)
vec_centered(x, length)	Returns the central part of a vector of a specified length
vec_unit_jit(n, i)	Returns a unit vector in i-th dimension for the standard coordinate system
vec_repeat_at_end_jit(x, p)	Extends a vector by repeating it at the end (periodic extension)
vec_repeat_at_start_jit(x, p)	Extends a vector by repeating it at the start (periodic extension)
vec_centered_jit(x, length)	Returns the central part of a vector of a specified length

Norm

norm_l1(x)	Computes the l_1 norm of a vector
norm_l2(x)	Computes the l_2 norm of a vector
norm_linf(x)	Computes the l_inf norm of a vector
sqr_norm_l2(x)	Computes the squared l_2 norm of a vector
normalize_l1(x)	Normalizes a vector by its l_1-norm
normalize_l2(x)	Normalizes a vector by its l_2-norm
normalize_linf(x)	Normalizes a vector by its l_inf-norm

Miscellaneous

vec_mag_desc(a)	Returns the coefficients in the descending order of magnitude
vec_to_pmf(a)	Computes a probability mass function from a given vector
vec_to_cmf(a)	Computes a cumulative mass function from a given vector
cmf_find_quantile_index(a, q)	Returns the index of a given quantile in a CMF
num_largest_coeffs_for_energy_percent(a, p)	Returns the number of largest components containing a given percentage of energy