10000'  NAME--ROMINT
10010'
10020'  DESCRIPTION--SUBROUTINE FOR PERFORMING ROMBERG'S EQUATION.
10030'
10040'  SOURCE--UNKNOWN
10050'
10060'  INSTRUCTIONS--THE SUBROUTINE ASSUMES THAT L IS EQUAL
10070'  TO THE LEFT POINT END POINT, THAT R IS EQUAL TO THE
10080'  RIGHT END POINT, THAT O IS THE DESIRED ORDER OF THE INTEGRATION,
10090'  AND THET FNC  IS THE FUNCTION TO BE INTEGRATED. THE ANSWER IS
10100'  V. THE ROUTINE USES THE LIST Z, AND THE VARIABLES
10110'  Z5 THROUGH Z9. THE SUBROUTINE PROPER STARTS IN LINE 10170
10120'  AND CONTINUES THROUGH LINE 10350.
10130'
10140'
10150'  *  *  *  *  *  *   SUBROUTINE  *  *  *  *  *  *  *  *  *  *  *
10160'
10170  LET Z7 = (R - L)/2
10180  LET Z8 = 1
10190  LET Z(1) = (FNC(L) + FNC(R))/2
10200  FOR Z5 = 1 TO O
10210     LET Z6 = 0
10220     FOR Z9 = 1 TO 2*Z8 - 1 STEP 2
10230        LET Z6 = Z6 + FNC(L + Z9*Z7)
10240     NEXT Z9
10250     LET Z(Z5 + 1) = ( Z6/Z8 + Z(Z5) )/2
10260     LET Z6 = 1
10270     FOR Z9 = Z5 TO 1 STEP -1
10280        LET Z6 = 4*Z6
10290        LET Z(Z9) = Z(Z9 + 1) + (Z(Z9 + 1) - Z(Z9))/(Z6 - 1)
10300     NEXT Z9
10310     LET Z8 = Z8*2
10320     LET Z7 = Z7/2
10330  NEXT Z5
10340  LET V = Z(1)*(R - L)
10350  RETURN