RowVector[N] = object
  data*: ref array[N, float]
  when true: p
  

ColVector[N] = object
  data*: ref array[N, float]
  when true: p
  

Vector[N] = RowVector[N] | ColVector[N]

proc rowVec[N: static[int]](arr: Array[N]): RowVector[N]

proc colVec[N: static[int]](arr: Array[N]): ColVector[N]

proc toRow[N: static[int]](arr: Array[N]): RowVector[N] {.
inline
.}

proc toCol[N: static[int]](arr: Array[N]): ColVector[N] {.
inline
.}

proc len[N: static[int]](v: Vector[N]): int

proc `[]`[N: static[int]](v: Vector[N]; i: int): float {.
inline
.}

proc `[]=`[N: static[int]](v: Vector[N]; i: int; val: float) {.
inline
.}

proc eq[N: static[int]](v, w: Vector[N]; epsilon: float = Epsilon): bool

proc `==`[N: static[int]](v, w: Vector[N]; epsilon = Epsilon): bool {.
inline
.}

proc `===`[N: static[int]](v, w: Vector[N]): bool

proc `$`[N: static[int]](v: ColVector[N]): string

proc `$`[N: static[int]](v: RowVector[N]): string

proc low(v: ColVector): int

proc high(v: ColVector): int

proc low(v: RowVector): int

proc high(v: RowVector): int

proc t[N: static[int]](v: ColVector[N]): RowVector[N]

proc t[N: static[int]](v: RowVector[N]): ColVector[N]

proc pnorm[N: static[int]](v: Vector[N]; p: Natural = 1): float

proc enorm[N: static[int]](v: Vector[N]): float

proc norm[N: static[int]](v: Vector[N]): float

proc dot[N: static[int]](v, w: Vector[N]): float

proc dot[N: static[int]](v: RowVector[N]; w: ColVector[N]): float

proc `*`[N: static[int]](v, w: Vector[N]): float {.
inline
.}

proc `*`[N: static[int]](v: RowVector[N]; w: ColVector[N]): float

proc add[N: static[int]](v, w: Vector[N]): Vector[N]

proc `+`[N: static[int]](v: Vector[N]; w: Vector[N]): auto {.
inline
.}

proc sub[N: static[int]](v, w: Vector[N]): Vector[N]

proc `-`[N: static[int]](v: Vector[N]; w: Vector[N]): auto {.
inline
.}

proc `*`[N: static[int]](a: float64; v: Vector[N]): Vector[N]

proc `.*`[N: static[int]](v, w: Vector[N]): Vector[N]

proc `/`[N: static[int]](v: Vector[N]; val: float): Vector[N]

proc `./`[N: static[int]](v, w: Vector[N]): Vector[N]

proc rowones(N: static[int]): RowVector[N]

proc rowzeros(N: static[int]): RowVector[N]

iterator items[N: static[int]](a: Vector[N]): float {.
inline
.}

iterator mitems[N: static[int]](a: var Vector[N]): var float {.
inline
.}

iterator pairs[N: static[int]](a: Vector[N]): tuple[key: int, val: float] {.
inline
.}

iterator mpairs[N: static[int]](a: var Vector[N]): tuple[key: int, val: var float] {.

    inline
.}