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  53. <a name="cproj_002c-cprojf_002d_002d_002d-Riemann-sphere-projection"></a>
  54. <h3 class="section">2.17 <code>cproj</code>, <code>cprojf</code>&mdash; Riemann sphere projection</h3>
  55. <a name="index-cproj"></a>
  56. <a name="index-cprojf"></a>
  57. <p><strong>Synopsis</strong>
  58. </p><div class="example">
  59. <pre class="example">#include &lt;complex.h&gt;
  60. double complex cproj(double complex <var>z</var>);
  61. float complex cprojf(float complex <var>z</var>);
  62. </pre></div>
  63. <p><strong>Description</strong><br>
  64. These functions compute a projection of <var>z</var> onto the Riemann
  65. sphere: <var>z</var> projects to <var>z</var> except that all complex infinities
  66. (even those with one infinite part and one NaN part) project
  67. to positive infinity on the real axis. If <var>z</var> has an infinite part,
  68. then <code>cproj</code>(<var>z</var>) is equivalent to
  69. </p>
  70. <p>INFINITY + I * copysign(0.0, cimag(z))
  71. </p>
  72. <p><code>cprojf</code> is identical to <code>cproj</code>, except that it performs
  73. its calculations on <code>floats complex</code>.
  74. </p>
  75. <br>
  76. <p><strong>Returns</strong><br>
  77. The cproj functions return the value of the projection onto
  78. the Riemann sphere.
  79. </p>
  80. <br>
  81. <p><strong>Portability</strong><br>
  82. <code>cproj</code> and <code>cprojf</code> are ISO C99
  83. </p>
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