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scsum1.f 3.3 kB

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  1. *> \brief \b SCSUM1 forms the 1-norm of the complex vector using the true 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 SCSUM1 + dependencies
  10. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/scsum1.f">
  11. *> [TGZ]</a>
  12. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/scsum1.f">
  13. *> [ZIP]</a>
  14. *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/scsum1.f">
  15. *> [TXT]</a>
  16. *> \endhtmlonly
  17. *
  18. * Definition:
  19. * ===========
  20. *
  21. * REAL FUNCTION SCSUM1( N, CX, INCX )
  22. *
  23. * .. Scalar Arguments ..
  24. * INTEGER INCX, N
  25. * ..
  26. * .. Array Arguments ..
  27. * COMPLEX CX( * )
  28. * ..
  29. *
  30. *
  31. *> \par Purpose:
  32. * =============
  33. *>
  34. *> \verbatim
  35. *>
  36. *> SCSUM1 takes the sum of the absolute values of a complex
  37. *> vector and returns a single precision result.
  38. *>
  39. *> Based on SCASUM from the Level 1 BLAS.
  40. *> The change is to use the 'genuine' absolute value.
  41. *> \endverbatim
  42. *
  43. * Arguments:
  44. * ==========
  45. *
  46. *> \param[in] N
  47. *> \verbatim
  48. *> N is INTEGER
  49. *> The number of elements in the vector CX.
  50. *> \endverbatim
  51. *>
  52. *> \param[in] CX
  53. *> \verbatim
  54. *> CX is COMPLEX array, dimension (N)
  55. *> The vector whose elements will be summed.
  56. *> \endverbatim
  57. *>
  58. *> \param[in] INCX
  59. *> \verbatim
  60. *> INCX is INTEGER
  61. *> The spacing between successive values of CX. INCX > 0.
  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 December 2016
  73. *
  74. *> \ingroup complexOTHERauxiliary
  75. *
  76. *> \par Contributors:
  77. * ==================
  78. *>
  79. *> Nick Higham for use with CLACON.
  80. *
  81. * =====================================================================
  82. REAL FUNCTION SCSUM1( N, CX, 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. * December 2016
  88. *
  89. * .. Scalar Arguments ..
  90. INTEGER INCX, N
  91. * ..
  92. * .. Array Arguments ..
  93. COMPLEX CX( * )
  94. * ..
  95. *
  96. * =====================================================================
  97. *
  98. * .. Local Scalars ..
  99. INTEGER I, NINCX
  100. REAL STEMP
  101. * ..
  102. * .. Intrinsic Functions ..
  103. INTRINSIC ABS
  104. * ..
  105. * .. Executable Statements ..
  106. *
  107. SCSUM1 = 0.0E0
  108. STEMP = 0.0E0
  109. IF( N.LE.0 )
  110. $ RETURN
  111. IF( INCX.EQ.1 )
  112. $ GO TO 20
  113. *
  114. * CODE FOR INCREMENT NOT EQUAL TO 1
  115. *
  116. NINCX = N*INCX
  117. DO 10 I = 1, NINCX, INCX
  118. *
  119. * NEXT LINE MODIFIED.
  120. *
  121. STEMP = STEMP + ABS( CX( I ) )
  122. 10 CONTINUE
  123. SCSUM1 = STEMP
  124. RETURN
  125. *
  126. * CODE FOR INCREMENT EQUAL TO 1
  127. *
  128. 20 CONTINUE
  129. DO 30 I = 1, N
  130. *
  131. * NEXT LINE MODIFIED.
  132. *
  133. STEMP = STEMP + ABS( CX( I ) )
  134. 30 CONTINUE
  135. SCSUM1 = STEMP
  136. RETURN
  137. *
  138. * End of SCSUM1
  139. *
  140. END