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74 lines
1.4 KiB
Plaintext
74 lines
1.4 KiB
Plaintext
.TH "lib/cplex/csech.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/csech.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 \fBcsech\fP (\fBcomplex\fP z)"
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.br
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.RI "\fIHyperbolic secant of a 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 csech (\fBcomplex\fP z)"
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.PP
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Hyperbolic secant of a complex number\&. Calculated as in Open Office:
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.br
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https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_IMSECH_function
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.PP
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.nf
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a+bi
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2\&.0 * cosh(a) * cos(b)
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real = ------------------------------
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cosh(2\&.0 * a) + cos(2\&.0 * b)
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.fi
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.PP
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.PP
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.PP
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.nf
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-2\&.0 * sinh(2\&.0 * a) * sin(b)
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imag = ------------------------------
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cosh(2\&.0 * a) + cos(2\&.0 * b)
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.fi
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.PP
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.PP
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Definition at line 47 of file csech\&.c\&.
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.PP
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References cimag(), cos(), cosh(), cpack(), creal(), sin(), and sinh()\&.
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.PP
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Referenced by ComplexNumber::HypSecant()\&.
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.PP
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.nf
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48 {
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49 complex w;
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50 double a, b;
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51 double d;
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52
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53 a = creal(z);
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54 b = cimag(z);
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55 d = cosh(2\&.0 * a) + cos(2\&.0 * b);
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56 w = cpack((2\&.0 * cosh(a) * cos(b) / d), (-2\&.0 * sinh(a) * sin(b) / d));
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57
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58 return w;
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59 }
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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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