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zlaswp.f 5.1 kB

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  1. *> \brief \b ZLASWP performs a series of row interchanges on a general rectangular matrix.
  2. *
  3. * =========== DOCUMENTATION ===========
  4. *
  5. * Online html documentation available at
  6. * http://www.netlib.org/lapack/explore-html/
  7. *
  8. *> \htmlonly
  9. *> Download ZLASWP + dependencies
  10. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaswp.f">
  11. *> [TGZ]</a>
  12. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaswp.f">
  13. *> [ZIP]</a>
  14. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaswp.f">
  15. *> [TXT]</a>
  16. *> \endhtmlonly
  17. *
  18. * Definition:
  19. * ===========
  20. *
  21. * SUBROUTINE ZLASWP( N, A, LDA, K1, K2, IPIV, INCX )
  22. *
  23. * .. Scalar Arguments ..
  24. * INTEGER INCX, K1, K2, LDA, N
  25. * ..
  26. * .. Array Arguments ..
  27. * INTEGER IPIV( * )
  28. * COMPLEX*16 A( LDA, * )
  29. * ..
  30. *
  31. *
  32. *> \par Purpose:
  33. * =============
  34. *>
  35. *> \verbatim
  36. *>
  37. *> ZLASWP performs a series of row interchanges on the matrix A.
  38. *> One row interchange is initiated for each of rows K1 through K2 of A.
  39. *> \endverbatim
  40. *
  41. * Arguments:
  42. * ==========
  43. *
  44. *> \param[in] N
  45. *> \verbatim
  46. *> N is INTEGER
  47. *> The number of columns of the matrix A.
  48. *> \endverbatim
  49. *>
  50. *> \param[in,out] A
  51. *> \verbatim
  52. *> A is COMPLEX*16 array, dimension (LDA,N)
  53. *> On entry, the matrix of column dimension N to which the row
  54. *> interchanges will be applied.
  55. *> On exit, the permuted matrix.
  56. *> \endverbatim
  57. *>
  58. *> \param[in] LDA
  59. *> \verbatim
  60. *> LDA is INTEGER
  61. *> The leading dimension of the array A.
  62. *> \endverbatim
  63. *>
  64. *> \param[in] K1
  65. *> \verbatim
  66. *> K1 is INTEGER
  67. *> The first element of IPIV for which a row interchange will
  68. *> be done.
  69. *> \endverbatim
  70. *>
  71. *> \param[in] K2
  72. *> \verbatim
  73. *> K2 is INTEGER
  74. *> (K2-K1+1) is the number of elements of IPIV for which a row
  75. *> interchange will be done.
  76. *> \endverbatim
  77. *>
  78. *> \param[in] IPIV
  79. *> \verbatim
  80. *> IPIV is INTEGER array, dimension (K1+(K2-K1)*abs(INCX))
  81. *> The vector of pivot indices. Only the elements in positions
  82. *> K1 through K1+(K2-K1)*abs(INCX) of IPIV are accessed.
  83. *> IPIV(K1+(K-K1)*abs(INCX)) = L implies rows K and L are to be
  84. *> interchanged.
  85. *> \endverbatim
  86. *>
  87. *> \param[in] INCX
  88. *> \verbatim
  89. *> INCX is INTEGER
  90. *> The increment between successive values of IPIV. If INCX
  91. *> is negative, the pivots are applied in reverse order.
  92. *> \endverbatim
  93. *
  94. * Authors:
  95. * ========
  96. *
  97. *> \author Univ. of Tennessee
  98. *> \author Univ. of California Berkeley
  99. *> \author Univ. of Colorado Denver
  100. *> \author NAG Ltd.
  101. *
  102. *> \date June 2017
  103. *
  104. *> \ingroup complex16OTHERauxiliary
  105. *
  106. *> \par Further Details:
  107. * =====================
  108. *>
  109. *> \verbatim
  110. *>
  111. *> Modified by
  112. *> R. C. Whaley, Computer Science Dept., Univ. of Tenn., Knoxville, USA
  113. *> \endverbatim
  114. *>
  115. * =====================================================================
  116. SUBROUTINE ZLASWP( N, A, LDA, K1, K2, IPIV, INCX )
  117. *
  118. * -- LAPACK auxiliary routine (version 3.7.1) --
  119. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  120. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  121. * June 2017
  122. *
  123. * .. Scalar Arguments ..
  124. INTEGER INCX, K1, K2, LDA, N
  125. * ..
  126. * .. Array Arguments ..
  127. INTEGER IPIV( * )
  128. COMPLEX*16 A( LDA, * )
  129. * ..
  130. *
  131. * =====================================================================
  132. *
  133. * .. Local Scalars ..
  134. INTEGER I, I1, I2, INC, IP, IX, IX0, J, K, N32
  135. COMPLEX*16 TEMP
  136. * ..
  137. * .. Executable Statements ..
  138. *
  139. * Interchange row I with row IPIV(K1+(I-K1)*abs(INCX)) for each of rows
  140. * K1 through K2.
  141. *
  142. IF( INCX.GT.0 ) THEN
  143. IX0 = K1
  144. I1 = K1
  145. I2 = K2
  146. INC = 1
  147. ELSE IF( INCX.LT.0 ) THEN
  148. IX0 = K1 + ( K1-K2 )*INCX
  149. I1 = K2
  150. I2 = K1
  151. INC = -1
  152. ELSE
  153. RETURN
  154. END IF
  155. *
  156. N32 = ( N / 32 )*32
  157. IF( N32.NE.0 ) THEN
  158. DO 30 J = 1, N32, 32
  159. IX = IX0
  160. DO 20 I = I1, I2, INC
  161. IP = IPIV( IX )
  162. IF( IP.NE.I ) THEN
  163. DO 10 K = J, J + 31
  164. TEMP = A( I, K )
  165. A( I, K ) = A( IP, K )
  166. A( IP, K ) = TEMP
  167. 10 CONTINUE
  168. END IF
  169. IX = IX + INCX
  170. 20 CONTINUE
  171. 30 CONTINUE
  172. END IF
  173. IF( N32.NE.N ) THEN
  174. N32 = N32 + 1
  175. IX = IX0
  176. DO 50 I = I1, I2, INC
  177. IP = IPIV( IX )
  178. IF( IP.NE.I ) THEN
  179. DO 40 K = N32, N
  180. TEMP = A( I, K )
  181. A( I, K ) = A( IP, K )
  182. A( IP, K ) = TEMP
  183. 40 CONTINUE
  184. END IF
  185. IX = IX + INCX
  186. 50 CONTINUE
  187. END IF
  188. *
  189. RETURN
  190. *
  191. * End of ZLASWP
  192. *
  193. END