ATAN2_YX

Returns the angle φ of the Cartesian coordinates (x,y)

ATAN2_YX returns the angle j of the Cartesian coordinates (x,y) within the range of -p to +p.

Parameters

Input

y (REAL)

Cartesian y coordinate

x (REAL)

Cartesian x coordinate

Output

VAR_OUT (REAL)
result in radians

Remarks

Each position P of the two-dimensional coordinates can be defined by Cartesian coordinates P(x,y) or by polar coordinates P(r,j) (r = radius, j = angle).

Define ATAN2_YX as follows:

ATAN2_YX(y,x)

x

y

x > 0

x < 0

y ³ 0

y < 0

x = 0

y > 0

y < 0

0

y = 0

Related topics:

Example

POU header

All input and output variables used for programming this function have been declared in the POU header. The same POU header is used for all programming languages.

	VAR
		rPhi1Rad: REAL:=0.0;
		rPhi2Rad: REAL:=0.0;
		rPhi1Degree: REAL:=0.0;
		rPhi2Degree: REAL:=0.0;
	END_VAR	VAR CONSTANT 
		DEGR_OF_RAD: REAL:=57.295779513082320876798154814105;
	END_VAR
	VAR 
		bCalculatePhi1: BOOL:=FALSE;
	END_VAR

LD body

BODY
    WORKSPACE
        NETWORK_LIST_TYPE := NWTYPELD ;
        ACTIVE_NETWORK := 0 ;
    END_WORKSPACE
    NET_WORK
        NETWORK_TYPE := NWTYPELD ;
        NETWORK_LABEL :=  ;
        NETWORK_TITLE :=  ;
        NETWORK_HEIGHT := 5 ;
        NETWORK_BODY
B(B_F,ATAN2_YX!,Instance,13,1,20,5,,?Dy?Dx?C);
B(B_VARIN,,10.0,11,2,13,4,);
B(B_VARIN,,-10.0,11,3,13,5,);
B(B_VAROUT,,rPhi1Rad,20,2,22,4,);
B(B_COMMENT,,Angle value of point in quadrant 2:,1,0,18,1,);
L(1,0,1,5);
        END_NETWORK_BODY
    END_NET_WORK
    NET_WORK
        NETWORK_TYPE := NWTYPELD ;
        NETWORK_LABEL :=  ;
        NETWORK_TITLE :=  ;
        NETWORK_HEIGHT := 5 ;
        NETWORK_BODY
B(B_F,@MUL-2!,Instance,13,1,18,4,,?D?D?C);
B(B_VARIN,,rPhi1Rad,11,1,13,3,);
B(B_VARIN,,DEGR_OF_RAD,11,2,13,4,);
B(B_VAROUT,,rPhi1Degree,18,1,20,3,);
L(1,0,1,5);
        END_NETWORK_BODY
    END_NET_WORK
    NET_WORK
        NETWORK_TYPE := NWTYPELD ;
        NETWORK_LABEL :=  ;
        NETWORK_TITLE :=  ;
        NETWORK_HEIGHT := 5 ;
        NETWORK_BODY
B(B_F,ATAN2_YX!,Instance,13,1,20,5,,?Dy?Dx?C);
B(B_VARIN,,-5.0,11,2,13,4,);
B(B_VARIN,,5.0,11,3,13,5,);
B(B_VAROUT,,rPhi2Rad,20,2,22,4,);
B(B_COMMENT,,Angle value of point in quadrant 4:,1,0,18,1,);
L(1,0,1,5);
        END_NETWORK_BODY
    END_NET_WORK
    NET_WORK
        NETWORK_TYPE := NWTYPELD ;
        NETWORK_LABEL :=  ;
        NETWORK_TITLE :=  ;
        NETWORK_HEIGHT := 5 ;
        NETWORK_BODY
B(B_F,@MUL-2!,Instance,13,1,18,4,,?D?D?C);
B(B_VARIN,,rPhi2Rad,11,1,13,3,);
B(B_VARIN,,DEGR_OF_RAD,11,2,13,4,);
B(B_VAROUT,,rPhi2Degree,18,1,20,3,);
L(1,0,1,5);
        END_NETWORK_BODY
    END_NET_WORK
END_BODY

ST body

(* Angle value of point in quadrant 2 *)
rPhi1Rad:=ATAN2_YX(y := 10.0, x := -10.0); (* Result: 2.3561947 *)
rPhi1Degree := rPhi1Rad * DEGR_OF_RAD;     (* Result: 135.00002 *)
(* Angle value of point in quadrant 4 *)
rPhi2Rad:=ATAN2_YX(y := -5.0, x :=   5.0); (* Result: -0.78539819 *)
rPhi2Degree := rPhi2Rad * DEGR_OF_RAD;     (* Result: -45.0 *)

Modified on: 2019-01-24Feedback on this pagePanasonic hotline