End : cosh, sinh, tanh

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