10	!
	!	COMPLEX SINH
	!
	!	KEYED IN BY TIMOTHY SHANE MCCOY
	!	AT CENTRAL STATE UNIVERSITY 
	!	ON PDP 11/45
	!	VERSION RSTS/E  V06C
	!
20	DEF FNC(X) = (EXP(X) + EXP(-X))/2
30	DEF FNS(X) = (EXP(X) - EXP(-X))/2
40	INPUT X1,X2
50	PRINT 
60	PRINT "INTERATION","REAL TERM","IMAG TERM","REAL SUM","IMAG SUM"
70	S1 = 0
75	A1,A2 = 0
80	S2 = 0
90	S0 = 1
100	FOR N = 1 TO 100
120	F = 1
130	P1 = 1
140	P2 = 0
150	FOR J = 1 TO 2*N-1
160	F = F * J
170	T1 = X1 * P1 - X2 * P2
180	T2 = X1 * P2 + X2 * P1
190	P1 = T1
200	P2 = T2
210	NEXT J
220	T1 = S0 * P1/F
230	T2 = S0 * P2/F
240	S1 = S1 + T1
250	S2 = S2 + T2
260	PRINT N,T1,T2,S1,S2
270	IF ABS(S1-A1) > 1E-6
	THEN 290
280	IF ABS(S2-A2) < 1E-6
	THEN 330
290	A1 = S1
300	A2 = S2
310	NEXT N
320	PRINT "DID NOT CONVERGE."
325	GOTO 340
330	PRINT "DID CONVERGE."
340	PRINT "SUM ="S1" +"S2"I"
350	PRINT "SINH ="EXP(X1) * COS(X2)/2 - EXP(-X1) * COS(-X2)/2" +";
	\ PRINT EXP(X1) * SIN(X2)/2 - EXP(-X1) * SIN(-X2)/2"I"
360	PRINT 
370	GOTO 10
400	END