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izmax1.f 3.5 kB

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  1. *> \brief \b IZMAX1 finds the index of the first vector element of maximum absolute value.
  2. *
  3. * =========== DOCUMENTATION ===========
  4. *
  5. * Online html documentation available at
  6. * http://www.netlib.org/lapack/explore-html/
  7. *
  8. *> \htmlonly
  9. *> Download IZMAX1 + dependencies
  10. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/izmax1.f">
  11. *> [TGZ]</a>
  12. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/izmax1.f">
  13. *> [ZIP]</a>
  14. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/izmax1.f">
  15. *> [TXT]</a>
  16. *> \endhtmlonly
  17. *
  18. * Definition:
  19. * ===========
  20. *
  21. * INTEGER FUNCTION IZMAX1( N, ZX, INCX )
  22. *
  23. * .. Scalar Arguments ..
  24. * INTEGER INCX, N
  25. * ..
  26. * .. Array Arguments ..
  27. * COMPLEX*16 ZX( * )
  28. * ..
  29. *
  30. *
  31. *> \par Purpose:
  32. * =============
  33. *>
  34. *> \verbatim
  35. *>
  36. *> IZMAX1 finds the index of the first vector element of maximum absolute value.
  37. *>
  38. *> Based on IZAMAX from Level 1 BLAS.
  39. *> The change is to use the 'genuine' absolute value.
  40. *> \endverbatim
  41. *
  42. * Arguments:
  43. * ==========
  44. *
  45. *> \param[in] N
  46. *> \verbatim
  47. *> N is INTEGER
  48. *> The number of elements in the vector ZX.
  49. *> \endverbatim
  50. *>
  51. *> \param[in] ZX
  52. *> \verbatim
  53. *> ZX is COMPLEX*16 array, dimension (N)
  54. *> The vector ZX. The IZMAX1 function returns the index of its first
  55. *> element of maximum absolute value.
  56. *> \endverbatim
  57. *>
  58. *> \param[in] INCX
  59. *> \verbatim
  60. *> INCX is INTEGER
  61. *> The spacing between successive values of ZX. INCX >= 1.
  62. *> \endverbatim
  63. *
  64. * Authors:
  65. * ========
  66. *
  67. *> \author Univ. of Tennessee
  68. *> \author Univ. of California Berkeley
  69. *> \author Univ. of Colorado Denver
  70. *> \author NAG Ltd.
  71. *
  72. *> \date February 2014
  73. *
  74. *> \ingroup complexOTHERauxiliary
  75. *
  76. *> \par Contributors:
  77. * ==================
  78. *>
  79. *> Nick Higham for use with ZLACON.
  80. *
  81. * =====================================================================
  82. INTEGER FUNCTION IZMAX1( N, ZX, INCX )
  83. *
  84. * -- LAPACK auxiliary routine (version 3.7.0) --
  85. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  86. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  87. * February 2014
  88. *
  89. * .. Scalar Arguments ..
  90. INTEGER INCX, N
  91. * ..
  92. * .. Array Arguments ..
  93. COMPLEX*16 ZX(*)
  94. * ..
  95. *
  96. * =====================================================================
  97. *
  98. * .. Local Scalars ..
  99. DOUBLE PRECISION DMAX
  100. INTEGER I, IX
  101. * ..
  102. * .. Intrinsic Functions ..
  103. INTRINSIC ABS
  104. * ..
  105. * .. Executable Statements ..
  106. *
  107. IZMAX1 = 0
  108. IF (N.LT.1 .OR. INCX.LE.0) RETURN
  109. IZMAX1 = 1
  110. IF (N.EQ.1) RETURN
  111. IF (INCX.EQ.1) THEN
  112. *
  113. * code for increment equal to 1
  114. *
  115. DMAX = ABS(ZX(1))
  116. DO I = 2,N
  117. IF (ABS(ZX(I)).GT.DMAX) THEN
  118. IZMAX1 = I
  119. DMAX = ABS(ZX(I))
  120. END IF
  121. END DO
  122. ELSE
  123. *
  124. * code for increment not equal to 1
  125. *
  126. IX = 1
  127. DMAX = ABS(ZX(1))
  128. IX = IX + INCX
  129. DO I = 2,N
  130. IF (ABS(ZX(IX)).GT.DMAX) THEN
  131. IZMAX1 = I
  132. DMAX = ABS(ZX(IX))
  133. END IF
  134. IX = IX + INCX
  135. END DO
  136. END IF
  137. RETURN
  138. *
  139. * End of IZMAX1
  140. *
  141. END