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73 lines
1.4 KiB
Plaintext
73 lines
1.4 KiB
Plaintext
.TH "lib/cplex/catan.c" 3 "Tue Jan 24 2017" "Version 1.6.2" "amath" \" -*- nroff -*-
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.ad l
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.nh
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.SH NAME
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lib/cplex/catan.c \-
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.SH SYNOPSIS
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.br
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.PP
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\fC#include 'prim\&.h'\fP
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.br
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\fC#include 'math\&.h'\fP
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.br
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\fC#include 'complex\&.h'\fP
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.br
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.SS "Functions"
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.in +1c
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.ti -1c
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.RI "\fBcomplex\fP \fBcatan\fP (\fBcomplex\fP z)"
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.br
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.RI "\fIInverse tangent of complex number\&. \fP"
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.in -1c
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.SH "Function Documentation"
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.PP
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.SS "\fBcomplex\fP catan (\fBcomplex\fP z)"
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.PP
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Inverse tangent of complex number\&.
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.PP
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\fBVersion:\fP
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.RS 4
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1\&.1
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.RE
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.PP
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\fBDate:\fP
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.RS 4
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14/10/01
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.RE
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.PP
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Inverse tangent expressed using complex logarithms:
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.PP
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.nf
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atan(z) = i/2 * (log(1 - i * z) - log(1 + i * z))
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.fi
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.PP
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More info is available at Wikipedia:
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.br
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http://en.wikipedia.org/wiki/Inverse_trigonometric_functions#Logarithmic_forms
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.PP
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Definition at line 43 of file catan\&.c\&.
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.PP
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References cadd(), cdiv(), clog(), cmul(), cpack(), and csub()\&.
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.PP
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Referenced by ComplexNumber::ArcTangent()\&.
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.PP
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.nf
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44 {
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45 complex one = cpack(1\&.0, 0\&.0);
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46 complex two = cpack(2\&.0, 0\&.0);
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47 complex i = cpack(0\&.0, 1\&.0);
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48 complex iz = cmul(i, z);
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49 complex p = clog(csub(one, iz));
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50 complex q = clog(cadd(one, iz));
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51 complex w = cmul(cdiv(i, two), csub(p, q));
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52 return w;
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53 }
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.fi
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.SH "Author"
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.PP
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Generated automatically by Doxygen for amath from the source code\&.
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