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digraph TrigonometricsFunctions {
size="8,8";
node [shape=circle];
//
// -*- Basic Call -*-
//
F77_Call [label="Fortan Call", shape=doublecircle];
C_Call [label="C Call", shape=doublecircle];
//
// -*- Specific LAPACK Call -*-
//
Dlamch_E_Call [label="dlamch('e')", comment="Précision Machine - LAPACK", shape=doublecircle, color=red];
//
// -*- Functions definition -*-
//
// Cosinus
Cos_Real [label="cos(R)"];
Cos_Complex [label="cos(C)"];
Cos_Hyperbolic_Real [label="ch(R)"];
Cos_Hyperbolic_Complex [label="ch(C)"];
// Sinus
Sin_Real [label="sin(R)"];
Sin_Complex [label="sin(C)"];
Sin_Hyperbolic_Real [label="sh(R)"];
Sin_Hyperbolic_Complex [label="sh(C)"];
// Tangeante
Tan_Real [label="tan(R)"];
Tan_Complex [label="tan(C)", comment="wtan"];
Tan_Hyperbolic_Real [label="tanh(R)"];
// Exponentielle
Exp_Real [label="exp(R)"];
Exp_Complex [label="exp(C)"];
// Log
Log_Real [label="log(R)"];
Log_Complex [label="log(C)"];
// Racine Carrée
Sqrt_Real [label="sqrt(R)"];
Sqrt_Positive_Real [label="sqrt(R+)"];
Sqrt_Negative_Real [label="sqrt(R-)"];
Sqrt_Complex [label="sqrt(C)", comment="wsqrt"];
Sqrt_Complex [label="sqrt(C)"];
// Valeur Absolue
Abs_Real [label="abs(R)", comment="|R|"];
// Signe
Sign_Real [label="sign(R)"];
//
// -*- Functions call links -*-
//
// -*- COS -*-
// cos(a+ib) = cos(a).ch(b) - i.sin(a).sh(b)
Cos_Complex -> {
Cos_Real
Sin_Real
Cos_Hyperbolic_Real
Sin_Hyperbolic_Real
};
// Call a cosinus function in F77 math lib
Cos_Real -> F77_Call;
// -*- SIN -*-
//
// sin(a+ib) = sin(a).ch(b) + i.cos(a).sh(b)
Sin_Complex -> {
Cos_Real
Sin_Real
Cos_Hyperbolic_Real
Sin_Hyperbolic_Real
};
// Call a sinus function in F77 math lib
Sin_Real -> F77_Call;
// -*- TAN -*-
//
// tan(a+ib) = x_r + i.x_i
// x_i = | sh(2.b) / 2.d si |b| <= L
// | sign(a)
//
// d = cos(a)^2 + sh(b)^2
//
// L = 1 + log(2 / sqrt(dlamch('e')))
Tan_Complex -> {
Cos_Real
Sin_Hyperbolic_Real
Log_Real
Sqrt_Real
Dlamch_E_Call
Abs_Real
Sign_Real
};
// Call a tangeante function in F77 math lib
Tan_Real -> F77_Call;
// -*- SQRT -*-
//
Sqrt_Negative_Real -> Sqrt_Complex;
// Call a sqrt function in F77 math lib
Sqrt_Positive_Real -> F77_Call;
}
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