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1 SUBROUTINE DLADIV( A, B, C, D, P, Q ) |
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2 * |
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3 * -- LAPACK auxiliary routine (version 3.0) -- |
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4 * Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., |
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5 * Courant Institute, Argonne National Lab, and Rice University |
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6 * October 31, 1992 |
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7 * |
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8 * .. Scalar Arguments .. |
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9 DOUBLE PRECISION A, B, C, D, P, Q |
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10 * .. |
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11 * |
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12 * Purpose |
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13 * ======= |
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14 * |
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15 * DLADIV performs complex division in real arithmetic |
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16 * |
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17 * a + i*b |
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18 * p + i*q = --------- |
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19 * c + i*d |
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20 * |
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21 * The algorithm is due to Robert L. Smith and can be found |
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22 * in D. Knuth, The art of Computer Programming, Vol.2, p.195 |
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23 * |
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24 * Arguments |
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25 * ========= |
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26 * |
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27 * A (input) DOUBLE PRECISION |
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28 * B (input) DOUBLE PRECISION |
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29 * C (input) DOUBLE PRECISION |
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30 * D (input) DOUBLE PRECISION |
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31 * The scalars a, b, c, and d in the above expression. |
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32 * |
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33 * P (output) DOUBLE PRECISION |
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34 * Q (output) DOUBLE PRECISION |
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35 * The scalars p and q in the above expression. |
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36 * |
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37 * ===================================================================== |
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38 * |
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39 * .. Local Scalars .. |
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40 DOUBLE PRECISION E, F |
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41 * .. |
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42 * .. Intrinsic Functions .. |
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43 INTRINSIC ABS |
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44 * .. |
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45 * .. Executable Statements .. |
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46 * |
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47 IF( ABS( D ).LT.ABS( C ) ) THEN |
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48 E = D / C |
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49 F = C + D*E |
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50 P = ( A+B*E ) / F |
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51 Q = ( B-A*E ) / F |
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52 ELSE |
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53 E = C / D |
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54 F = D + C*E |
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55 P = ( B+A*E ) / F |
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56 Q = ( -A+B*E ) / F |
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57 END IF |
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58 * |
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59 RETURN |
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60 * |
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61 * End of DLADIV |
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62 * |
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63 END |