F15.cin

// F15.cin is C++ routine for evaluation of tetration to base 1.5

// The code below requires table of its values along a line parallel to the imaginary axis. This table is stored in file f2048b15.inc and also should be loaded.

//z_type Zo=z_type(.31813150520476413, 1.3372357014306895); //z_type Zc=z_type(.31813150520476413,-1.3372357014306895); // Natural base z_type Zo15=z_type( 2.306009391950022, 1.081988656014367); z_type Zc15=z_type( 2.306009391950022,-1.081988656014367); DB L15=log(1.5);// 0.405465108108164 z_type Q15=z_type( 0.032285891687578, 0.438708647382672);// =L*Zo+log(L) z_type T15=z_type(14.244850994834851, 1.048321520600793); //#include "Zo15.inc"

//#include "x1b15.inc" DB x1b15= 0.1635588901442990;

//DB L=log(2.); z_type f15(z_type z){ //NOT SHIFTED FOR x1 !!!! #include"f2048b15.inc" //K and A15 are defined there int j,k,m,n; DB x,y, u, t; z_type c,d, cu,cd; z_type E[2048],G[2048]; //	z_type E[K],G[K]; DO(k,K){c=F[k];E[k]=log(c)/L15;G[k]=exp(c*L15);} //	the initioalization abouve should run at the compillation c=0.; DO(k,K){t=A15*GLx[k]; c+= GLw[k]*( G[k]/(z_type( 1.,t)-z) - E[k]/(z_type(-1.,t)-z) );} cu=.5-I/(2.*M_PI)*log( (z_type(1.,-A15)+z)/(z_type(1., A15)-z) ); cd=.5-I/(2.*M_PI)*log( (z_type(1.,-A15)-z)/(z_type(1., A15)+z) ); return c*(A15/(2.*M_PI)) +Zo15*cu+Zc15*cd; }
 * 1) include "GLxw2048.inc"

z_type F15(z_type z){	DB x=Re(z); if(x<-.5) return log(F15(z+1.))/L15; if(x> .5) return exp(F15(z-1.)*L15); return f15(z+x1b15); }

/*

*/