Sharp EL-5500III & PC-1403: Complex Number Arithmetic and Vectors
Complex Number Arithmetic
This program calculates the four arithmetic functions for complex numbers in the form of x + i*y, where i = √-1.
Sharp EL-5500III/PC-1403 Program: Complex Number Arithmetic
RUN 600 (or whatever line you designate)
600 PRINT "COMPLEX ARITHMETIC"
603 INPUT "A? "; A, "Bi? "; B, "C? "; C, "Di? "; D
606 INPUT "1:+ 2:- 3:* 4:/ :"; H
609 IF H=1 THEN 630
612 IF H=2 THEN 640
615 IF H=3 THEN 650
618 IF H=4 THEN 660
621 GOTO 606
630 PRINT A+C; "+ "; B+D; "i": END
640 PRINT A-C; "+ "; B-D; "i": END
650 PRINT A*C-B*D; "+ "; B*C+A*D; "i": END
660 W=(C^2+D^2)
663 PRINT (A*C+B*D)/W; "+ "; (B*C-A*D)/W; "i": END
Example
a + bi = 8 + 3i; c + di = -4 + 2i
Add: 4 + 5i
Subtract: 12 + 1i
Multiply: -38 + 4i
Divide: -1.3 + -1.4i
Vectors
This program calculates the dot product, cross product, and the angle between of two vectors.
Sharp EL-5500III/PC-1403 Program: Vectors
RUN 800 (or whatever line you designate)
800 PRINT "TWO VECTORS"
803 DIM A(2): DIM B(2)
806 INPUT "A0? "; A(0), "A1? "; A(1), "A2? "; A(2)
809 INPUT "B0? "; B(0), "B1? "; B(1), "B2? "; B(2)
812 INPUT "1.DOT 2.CROSS 3.ANGLE :"; H
815 IF H=1 THEN 830
818 IF H=2 THEN 840
821 IF H=3 THEN 850
824 GOTO 812
830 D=A(0)*B(0)+A(1)*B(1)+A(2)*B(2)
832 PRINT "DOT = ";D : END
840 DIM R(2): R(0)=A(1)*B(2)-A(2)*B(1)
842 R(1)=A(2)*B(0)-A(0)*B(2)
844 R(2)=A(0)*B(1)-A(1)*B(0)
846 PRINT "R0:";R(0) :PRINT "R1:";R(1) :PRINT "R2:";R(2)
848 END
850 X=√(A(0)^2+A(1)^2+A(2)^2)
852 Y=√(B(0)^2+B(1)^2+B(2)^2)
854 D=A(0)*B(0)+A(1)*B(1)+A(2)*B(2)
856 N= ACS (D/(X*Y))
858 PRINT "ANG = "; N: END
Example (Degrees mode set)
A: A(0) = 4, A(1) = -3, A(2) = 2
B: B(0) = 6, B(1) = 7, B(2) = -1
Dot: 1
Cross: R(0) = -11, R(1) = 16, R(2) = 46
Angle: 88.85263015°
Eddie
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