Units move diagonally then move in straight line

I'm sure those who have play firewall mage understand this

Because it is moving in such a weird behavior,
a normal distance script command, or Pythagoras distance check isn't accurate

function script travel_time { .@x = getarg(3) - getarg(1); .@y = getarg(4) - getarg(2); if ( .@x < 0 ) .@x = -.@x; if ( .@y < 0 ) .@y = -.@y; .@min = ( .@x < .@y )? .@x : .@y; .@max = ( .@x > .@y )? .@x : .@y; return ( sqrt( pow(.@min, 2) *2 ) + .@max - .@min )* getarg(0); } function script pythagoras_distance { return sqrt( pow( getarg(0)-getarg(2), 2 ) + pow( getarg(1)-getarg(3), 2 ) ); } prontera,155,188,5 script distance-time 1_F_MARIA,{ mes "input X"; .@area_size = getbattleflag("area_size"); next; if ( input( .@ix, -.@area_size, .@area_size ) ) close; clear; mes "input Y"; if ( input( .@iy, -.@area_size, .@area_size ) ) close; getmapxy .@map$, .@x, .@y, UNITTYPE_NPC; .@des_x = .@x + .@ix; .@des_y = .@y + .@iy; if ( checkcell( .@map$, .@des_x, .@des_y, cell_chknopass ) ) { mes "destination failed"; close; } close2; movenpc "time-check", .@des_x, .@des_y; monster .@map$, .@x, .@y, "--ja--", 1002, 1, ""; setunitdata $@mobid, UMOB_MODE, MD_CANMOVE; setunitdata $@mobid, UMOB_SPEED, 150; // default player speed unitwalk $@mobid, .@des_x, .@des_y; npctalk "Expected Time = "+( pythagoras_distance( .@x, .@y, .@des_x, .@des_y ) * 150 )+" mili-seconds"; npctalk "Expected Time = "+( travel_time( 150, .@x, .@y, .@des_x, .@des_y ) )+" mili-seconds"; initnpctimer; end; OnCountTimer: stopnpctimer; npctalk sprintf( "Time taken = %d mili-seconds", getnpctimer(0) ); end; } prontera,0,0,0 script time-check 111,0,0,{ end; OnTouchNPC: donpcevent "distance-time::OnCountTimer"; unitkill playerattached(); end; }When input X +5, Y -10, phythagoras distance function expected 1650 mili-seconds,
but travel_time function expected 1800 mili-seconds
the result is 1872 mili-seconds

Thus travel_time function should be use instead,
simple, just  (2min)² + (max - min) where min is X or Y, which one is smaller, and the opposite for max

See also:

Ragnarok Online use number of Squares to count distance  
A simple walking npc script