lartv(3)

📦
version 3.12.1 · 9 versions
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🎀 NAME 🎀

lartv — lartv: apply vector of plane rotations to vectors

okay so this is the lartv(3) page from the Library Functions Manual, and it's lowkey a whole family reunion of Fortran subroutines. 💅

✨ SYNOPSIS ✨

💅 Functions

  • subroutine clartv (n, x, incx, y, incy, c, s, incc) — CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. 💖
  • subroutine dlartv (n, x, incx, y, incy, c, s, incc) — DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. ✨
  • subroutine slartv (n, x, incx, y, incy, c, s, incc) — SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. 🦋
  • subroutine zlartv (n, x, incx, y, incy, c, s, incc) — ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. 🌸

🦋 Detailed Description 🦋

this page is literally the plane-rotation crew: clartv, dlartv, slartv, and zlartv. the function docs below are giving full signatures, purposes, parameters, authors, and definition lines — no skips, no crumbs. 🫶

🌸 Function Documentation 🌸

💖 clartv 💖

subroutine clartv (integer n, complex, dimension( * ) x, integer incx, complex, dimension( * ) y, integer incy, real, dimension( * ) c, complex, dimension( * ) s, integer incc)

CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

   !>
   !> CLARTV applies a vector of complex plane rotations with real cosines
   !> to elements of the complex vectors x and y. For i = 1,2,...,n
   !>
   !>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
   !>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
   !>

Parameters

  • N — N is INTEGER; the number of plane rotations to be applied. 🔥
  • X — X is COMPLEX array, dimension (1+(N-1)*INCX); the vector x. ✨
  • INCX — INCX is INTEGER; the increment between elements of X. INCX > 0. 💅
  • Y — Y is COMPLEX array, dimension (1+(N-1)*INCY); the vector y. 🎀
  • INCY — INCY is INTEGER; the increment between elements of Y. INCY > 0. 🌈
  • C — C is REAL array, dimension (1+(N-1)*INCC); the cosines of the plane rotations. ⭐
  • S — S is COMPLEX array, dimension (1+(N-1)*INCC); the sines of the plane rotations. 💜
  • INCC — INCC is INTEGER; the increment between elements of C and S. INCC > 0. 👑

Author

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 106 of file clartv.f.

💙 dlartv 💙

subroutine dlartv (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension( * ) y, integer incy, double precision, dimension( * ) c, double precision, dimension( * ) s, integer incc)

DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

   !>
   !> DLARTV applies a vector of real plane rotations to elements of the
   !> real vectors x and y. For i = 1,2,...,n
   !>
   !>    ( x(i) ) := (  c(i)  s(i) ) ( x(i) )
   !>    ( y(i) )    ( -s(i)  c(i) ) ( y(i) )
   !>

Parameters

  • N — N is INTEGER; the number of plane rotations to be applied. 🔥
  • X — X is DOUBLE PRECISION array, dimension (1+(N-1)*INCX); the vector x. ✨
  • INCX — INCX is INTEGER; the increment between elements of X. INCX > 0. 💅
  • Y — Y is DOUBLE PRECISION array, dimension (1+(N-1)*INCY); the vector y. 🎀
  • INCY — INCY is INTEGER; the increment between elements of Y. INCY > 0. 🌈
  • C — C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC); the cosines of the plane rotations. ⭐
  • S — S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC); the sines of the plane rotations. 💜
  • INCC — INCC is INTEGER; the increment between elements of C and S. INCC > 0. 👑

Author

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 107 of file dlartv.f.

💚 slartv 💚

subroutine slartv (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy, real, dimension( * ) c, real, dimension( * ) s, integer incc)

SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

   !>
   !> SLARTV applies a vector of real plane rotations to elements of the
   !> real vectors x and y. For i = 1,2,...,n
   !>
   !>    ( x(i) ) := (  c(i)  s(i) ) ( x(i) )
   !>    ( y(i) )    ( -s(i)  c(i) ) ( y(i) )
   !>

Parameters

  • N — N is INTEGER; the number of plane rotations to be applied. 🔥
  • X — X is REAL array, dimension (1+(N-1)*INCX); the vector x. ✨
  • INCX — INCX is INTEGER; the increment between elements of X. INCX > 0. 💅
  • Y — Y is REAL array, dimension (1+(N-1)*INCY); the vector y. 🎀
  • INCY — INCY is INTEGER; the increment between elements of Y. INCY > 0. 🌈
  • C — C is REAL array, dimension (1+(N-1)*INCC); the cosines of the plane rotations. ⭐
  • S — S is REAL array, dimension (1+(N-1)*INCC); the sines of the plane rotations. 💜
  • INCC — INCC is INTEGER; the increment between elements of C and S. INCC > 0. 👑

Author

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 107 of file slartv.f.

💜 zlartv 💜

subroutine zlartv (integer n, complex*16, dimension( * ) x, integer incx, complex*16, dimension( * ) y, integer incy, double precision, dimension( * ) c, complex*16, dimension( * ) s, integer incc)

ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

   !>
   !> ZLARTV applies a vector of complex plane rotations with real cosines
   !> to elements of the complex vectors x and y. For i = 1,2,...,n
   !>
   !>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
   !>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
   !>

Parameters

  • N — N is INTEGER; the number of plane rotations to be applied. 🔥
  • X — X is COMPLEX*16 array, dimension (1+(N-1)*INCX); the vector x. ✨
  • INCX — INCX is INTEGER; the increment between elements of X. INCX > 0. 💅
  • Y — Y is COMPLEX*16 array, dimension (1+(N-1)*INCY); the vector y. 🎀
  • INCY — INCY is INTEGER; the increment between elements of Y. INCY > 0. 🌈
  • C — C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC); the cosines of the plane rotations. ⭐
  • S — S is COMPLEX*16 array, dimension (1+(N-1)*INCC); the sines of the plane rotations. 💜
  • INCC — INCC is INTEGER; the increment between elements of C and S. INCC > 0. 👑

Author

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 106 of file zlartv.f.

👑 Author 👑

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