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<title>Complex arithmetic operators - GNU Scientific Library -- Reference Manual</title>
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<p>
<a name="Complex-arithmetic-operators"></a>
Next: <a rel="next" accesskey="n" href="Elementary-Complex-Functions.html">Elementary Complex Functions</a>,
Previous: <a rel="previous" accesskey="p" href="Properties-of-complex-numbers.html">Properties of complex numbers</a>,
Up: <a rel="up" accesskey="u" href="Complex-Numbers.html">Complex Numbers</a>
<hr>
</div>
<h3 class="section">5.3 Complex arithmetic operators</h3>
<p><a name="index-complex-arithmetic-153"></a>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_add</b> (<var>gsl_complex a, gsl_complex b</var>)<var><a name="index-gsl_005fcomplex_005fadd-154"></a></var><br>
<blockquote><p>This function returns the sum of the complex numbers <var>a</var> and
<var>b</var>, z=a+b.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_sub</b> (<var>gsl_complex a, gsl_complex b</var>)<var><a name="index-gsl_005fcomplex_005fsub-155"></a></var><br>
<blockquote><p>This function returns the difference of the complex numbers <var>a</var> and
<var>b</var>, z=a-b.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_mul</b> (<var>gsl_complex a, gsl_complex b</var>)<var><a name="index-gsl_005fcomplex_005fmul-156"></a></var><br>
<blockquote><p>This function returns the product of the complex numbers <var>a</var> and
<var>b</var>, z=ab.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_div</b> (<var>gsl_complex a, gsl_complex b</var>)<var><a name="index-gsl_005fcomplex_005fdiv-157"></a></var><br>
<blockquote><p>This function returns the quotient of the complex numbers <var>a</var> and
<var>b</var>, z=a/b.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_add_real</b> (<var>gsl_complex a, double x</var>)<var><a name="index-gsl_005fcomplex_005fadd_005freal-158"></a></var><br>
<blockquote><p>This function returns the sum of the complex number <var>a</var> and the
real number <var>x</var>, z=a+x.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_sub_real</b> (<var>gsl_complex a, double x</var>)<var><a name="index-gsl_005fcomplex_005fsub_005freal-159"></a></var><br>
<blockquote><p>This function returns the difference of the complex number <var>a</var> and the
real number <var>x</var>, z=a-x.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_mul_real</b> (<var>gsl_complex a, double x</var>)<var><a name="index-gsl_005fcomplex_005fmul_005freal-160"></a></var><br>
<blockquote><p>This function returns the product of the complex number <var>a</var> and the
real number <var>x</var>, z=ax.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_div_real</b> (<var>gsl_complex a, double x</var>)<var><a name="index-gsl_005fcomplex_005fdiv_005freal-161"></a></var><br>
<blockquote><p>This function returns the quotient of the complex number <var>a</var> and the
real number <var>x</var>, z=a/x.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_add_imag</b> (<var>gsl_complex a, double y</var>)<var><a name="index-gsl_005fcomplex_005fadd_005fimag-162"></a></var><br>
<blockquote><p>This function returns the sum of the complex number <var>a</var> and the
imaginary number i<var>y</var>, z=a+iy.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_sub_imag</b> (<var>gsl_complex a, double y</var>)<var><a name="index-gsl_005fcomplex_005fsub_005fimag-163"></a></var><br>
<blockquote><p>This function returns the difference of the complex number <var>a</var> and the
imaginary number i<var>y</var>, z=a-iy.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_mul_imag</b> (<var>gsl_complex a, double y</var>)<var><a name="index-gsl_005fcomplex_005fmul_005fimag-164"></a></var><br>
<blockquote><p>This function returns the product of the complex number <var>a</var> and the
imaginary number i<var>y</var>, z=a*(iy).
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_div_imag</b> (<var>gsl_complex a, double y</var>)<var><a name="index-gsl_005fcomplex_005fdiv_005fimag-165"></a></var><br>
<blockquote><p>This function returns the quotient of the complex number <var>a</var> and the
imaginary number i<var>y</var>, z=a/(iy).
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_conjugate</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fconjugate-166"></a></var><br>
<blockquote><p><a name="index-conjugate-of-complex-number-167"></a>This function returns the complex conjugate of the complex number
<var>z</var>, z^* = x - i y.
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_inverse</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005finverse-168"></a></var><br>
<blockquote><p>This function returns the inverse, or reciprocal, of the complex number
<var>z</var>, 1/z = (x - i y)/(x^2 + y^2).
</p></blockquote></div>
<div class="defun">
— Function: gsl_complex <b>gsl_complex_negative</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fnegative-169"></a></var><br>
<blockquote><p>This function returns the negative of the complex number
<var>z</var>, -z = (-x) + i(-y).
</p></blockquote></div>
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