diff options
| -rw-r--r-- | Doc/Elementary Functions/TrigonometricsDependeces.dot | 52 |
1 files changed, 51 insertions, 1 deletions
diff --git a/Doc/Elementary Functions/TrigonometricsDependeces.dot b/Doc/Elementary Functions/TrigonometricsDependeces.dot index c18100c3..95c19d3d 100644 --- a/Doc/Elementary Functions/TrigonometricsDependeces.dot +++ b/Doc/Elementary Functions/TrigonometricsDependeces.dot @@ -60,6 +60,9 @@ Sqrt_Positive_Real [label="sqrt(R+)"]; Sqrt_Negative_Real [label="sqrt(R-)"]; Sqrt_Complex [label="sqrt(C)", comment="wsqrt"]; +// Partie Imaginaire +Imag_Complex [label="imag(C)"]; + // Valeur Absolue Abs_Real [label="abs(R)", comment="|R|"]; @@ -87,7 +90,7 @@ subgraph clusterLAPACK { // -*- COS -*- // // cos(a+ib) = cos(a).ch(b) - i.sin(a).sh(b) -Cos_Complex -> { +Cos_Complex -> { Cos_Real Sin_Real Cos_Hyperbolic_Real @@ -97,6 +100,19 @@ Cos_Complex -> { // Call a cosinus function in F77 math lib Cos_Real -> F77_Call; +// -*- COSH -*- +// +// ch(z) = cos(i.z) +Cos_Hyperbolic_Complex -> { + Cos_Complex + }; + +// ch(x) = 1/2 . exp(|x|) + exp(-|x|) +Cos_Hyperbolic_Real -> { + Exp_Real + Abs_Real +}; + // -*- SIN -*- // @@ -112,6 +128,20 @@ Sin_Complex -> { Sin_Real -> F77_Call; +// -*- SINH -*- +// +// sh(z) = -i.sin(i.z) +Sin_Hyperbolic_Complex -> { + Sin_Complex +}; + +// sh(x) = imag(sin(i.x)) +Sin_Hyperbolic_Real -> { + Sin_Complex + Imag_Complex +}; + + // -*- TAN -*- // // tan(a+ib) = x_r + i.x_i @@ -138,6 +168,20 @@ Tan_Complex -> { Tan_Real -> F77_Call; +// -*- TANH -*- +// +// tanh(z) = -i.tan(i.z) +Tan_Hyperbolic_Complex -> { + Tan_Complex + }; + +// tanh(x) = imag(tan(i.x)) +Tan_Hyperbolic_Real -> { + Tan_Complex + Imag_Complex +}; + + // -*- LOG -*- // // log(a+ib) = x_r + i.x_i @@ -295,4 +339,10 @@ Exp_Real -> F77_Call; // Call atan2 function in C math lib ATan2_Real -> C_Call; + +// -*- IMAG -*- +// +// Call a imag function in F77 math lib +Imag_Complex -> F77_Call; + }
\ No newline at end of file |