Functions for Trendlines / MAs within an EA

Greeting Experts-Developer! I need some functions for an existing EA based on TrendLine indicator (below).

Please provide following functions for TL-indicator:

double calc_angle(){...} //calculates the "angle" of a TL by dividing (yE-yA)/bars

bool crossed(){...}//calculates, if two TLs are crossed within their length (for example the Question, if a 100 bars long TL and a 20 bars TL are crossing or not)

int crosses(int perio){...}//calculates how often a TL crosses a specific MA (for exemple a 100 bar long TL and eMA with perio 100 with Question: How often TL is crossing the eMA within the 100 bars.)

bool first_crossing_direction(int perio){...}//check, if the first crossing of an EA with the TL is positive or negative

bool last_crossing_direction(int perio){...}//check, if the last crossing of an EA with the TL is positive or negative

You can assume, that you can save the important results/ values within a global structure, which will be calculated for each new bar. Create a strucute, which contents all needed variables. Please remember, the TL-indicator depends from perio, shift,tf, ..., hence your functions also have to depend from these variables.