```01:       COMPLEX FUNCTION CDOTC(N,CX,INCX,CY,INCY)
02: *     .. Scalar Arguments ..
03:       INTEGER INCX,INCY,N
04: *     ..
05: *     .. Array Arguments ..
06:       COMPLEX CX(*),CY(*)
07: *     ..
08: *
09: *  Purpose
10: *  =======
11: *
12: *     forms the dot product of two vectors, conjugating the first
13: *     vector.
14: *
15: *  Further Details
16: *  ===============
17: *
18: *     jack dongarra, linpack,  3/11/78.
19: *     modified 12/3/93, array(1) declarations changed to array(*)
20: *
21: *     .. Local Scalars ..
22:       COMPLEX CTEMP
23:       INTEGER I,IX,IY
24: *     ..
25: *     .. Intrinsic Functions ..
26:       INTRINSIC CONJG
27: *     ..
28:       CTEMP = (0.0,0.0)
29:       CDOTC = (0.0,0.0)
30:       IF (N.LE.0) RETURN
31:       IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
32: *
33: *        code for unequal increments or equal increments
34: *          not equal to 1
35: *
36:       IX = 1
37:       IY = 1
38:       IF (INCX.LT.0) IX = (-N+1)*INCX + 1
39:       IF (INCY.LT.0) IY = (-N+1)*INCY + 1
40:       DO 10 I = 1,N
41:           CTEMP = CTEMP + CONJG(CX(IX))*CY(IY)
42:           IX = IX + INCX
43:           IY = IY + INCY
44:    10 CONTINUE
45:       CDOTC = CTEMP
46:       RETURN
47: *
48: *        code for both increments equal to 1
49: *
50:    20 DO 30 I = 1,N
51:           CTEMP = CTEMP + CONJG(CX(I))*CY(I)
52:    30 CONTINUE
53:       CDOTC = CTEMP
54:       RETURN
55:       END
56: ```