1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680
  
     | 
    
      (IN-PACKAGE "RTL")
(INCLUDE-BOOK "rtl/rel11/lib/rac" :DIR :SYSTEM)
(SET-IGNORE-OK T)
(SET-IRRELEVANT-FORMALS-OK T)
(DEFUN RMODENEAR NIL (BITS 0 1 0))
(DEFUN RMODEUP NIL (BITS 1 1 0))
(DEFUN RMODEDN NIL (BITS 2 1 0))
(DEFUN RMODEZERO NIL (BITS 3 1 0))
(DEFUN IDC NIL 7)
(DEFUN IXC NIL 4)
(DEFUN UFC NIL 3)
(DEFUN OFC NIL 2)
(DEFUN DZC NIL 1)
(DEFUN IOC NIL 0)
(DEFUN
 ANALYZE (OP FMT FZ FLAGS)
 (LET
  ((SIGN 0)
   (EXP 0)
   (MAN 0)
   (MANMSB 0)
   (EXPISMAX 0))
  (MV-LET
     (SIGN EXP EXPISMAX MAN MANMSB)
     (CASE FMT
           (2 (LET ((SIGN (BITN OP 63))
                    (EXP (BITS OP 62 52)))
                   (MV SIGN EXP (LOG= (SI EXP 13) 2047)
                       (BITS OP 51 0)
                       (BITS 2251799813685248 51 0))))
           (1 (LET ((SIGN (BITN OP 31))
                    (EXP (BITS OP 30 23)))
                   (MV SIGN EXP (LOG= (SI EXP 13) 255)
                       (BITS OP 22 0)
                       (BITS 4194304 51 0))))
           (0 (LET ((SIGN (BITN OP 15))
                    (EXP (BITS OP 14 10)))
                   (MV SIGN EXP (LOG= (SI EXP 13) 31)
                       (BITS OP 9 0)
                       (BITS 512 51 0))))
           (T (MV SIGN EXP EXPISMAX MAN MANMSB)))
     (LET ((C 0))
          (MV-LET (FLAGS C)
                  (IF1 EXPISMAX
                       (MV FLAGS
                           (IF1 (LOG= MAN 0)
                                1 (IF1 (LOGAND MAN MANMSB) 3 2)))
                       (IF1 (LOG= (SI EXP 13) 0)
                            (IF1 (LOG= MAN 0)
                                 (MV FLAGS 0)
                                 (MV-LET (C FLAGS)
                                         (IF1 FZ
                                              (MV 0
                                                  (IF1 (LOG<> FMT 0)
                                                       (SETBITN FLAGS 8 (IDC) 1)
                                                       FLAGS))
                                              (MV 5 FLAGS))
                                         (MV FLAGS C)))
                            (MV FLAGS 4)))
                  (MV SIGN (BITS (SI EXP 13) 10 0)
                      MAN C FLAGS))))))
(DEFUN CLZ53-LOOP-0 (I N K C Z)
       (DECLARE (XARGS :MEASURE (NFIX (- N I))))
       (IF (AND (INTEGERP I) (INTEGERP N) (< I N))
           (LET* ((C (AS I
                         (BITS (IF1 (AG (+ (* 2 I) 1) Z)
                                    (AG (* 2 I) C)
                                    (AG (+ (* 2 I) 1) C))
                               5 0)
                         C))
                  (C (AS I
                         (SETBITN (AG I C)
                                  6 K (AG (+ (* 2 I) 1) Z))
                         C))
                  (Z (AS I
                         (LOGAND1 (AG (+ (* 2 I) 1) Z)
                                  (AG (* 2 I) Z))
                         Z)))
                 (CLZ53-LOOP-0 (+ I 1) N K C Z))
           (MV C Z)))
(DEFUN CLZ53-LOOP-1 (K N C Z)
       (DECLARE (XARGS :MEASURE (NFIX (- 6 K))))
       (IF (AND (INTEGERP K) (< K 6))
           (LET ((N (FLOOR N 2)))
                (MV-LET (C Z)
                        (CLZ53-LOOP-0 0 N K C Z)
                        (CLZ53-LOOP-1 (+ K 1) N C Z)))
           (MV N C Z)))
(DEFUN CLZ53-LOOP-2 (I X Z C)
       (DECLARE (XARGS :MEASURE (NFIX (- 64 I))))
       (IF (AND (INTEGERP I) (< I 64))
           (LET ((Z (AS I (LOGNOT1 (BITN X I)) Z))
                 (C (AS I (BITS 0 5 0) C)))
                (CLZ53-LOOP-2 (+ I 1) X Z C))
           (MV Z C)))
(DEFUN CLZ53 (S)
       (LET* ((X (BITS 0 63 0))
              (X (SETBITS X 64 63 11 S))
              (Z NIL)
              (C NIL))
             (MV-LET (Z C)
                     (CLZ53-LOOP-2 0 X Z C)
                     (LET ((N 64))
                          (MV-LET (N C Z)
                                  (CLZ53-LOOP-1 0 N C Z)
                                  (AG 0 C))))))
(DEFUN
   COMPUTEQ (QP QN RP RN FMT ISSQRT)
   (LET* ((REM (BITS (+ (+ RP (LOGNOT RN)) 1) 58 0))
          (REMSIGN (BITN REM 58))
          (REMZERO (LOG= (LOGXOR RP RN) 0))
          (CIN (LOGNOT1 REMSIGN))
          (LSBIS2 (LOG= ISSQRT (LOG= FMT 1)))
          (INC (BITS (IF1 LSBIS2 4 2) 2 0))
          (Q0 (BITS (+ QP (LOGNOT QN)) 53 0))
          (QN1INC (BITS (LOGXOR (LOGXOR QP (BITS (LOGNOT QN) 53 0))
                                INC)
                        53 0))
          (QP1INC (BITS (ASH (LOGIOR (LOGAND QP (BITS (LOGNOT QN) 53 0))
                                     (LOGAND (LOGIOR QP (BITS (LOGNOT QN) 53 0))
                                             INC))
                             1)
                        53 0))
          (Q1INC (BITS (+ (+ QP1INC QN1INC) 1) 53 0))
          (Q1LOW (BITS (+ (+ (BITS QP 2 0) (LOGNOT (BITS QN 2 0)))
                          1)
                       2 0))
          (Q0INCLOW (BITS (+ (BITS QP1INC 2 0) (BITS QN1INC 2 0))
                          2 0))
          (Q1 Q1LOW)
          (Q0INC Q0INCLOW)
          (Q1 (IF1 (LOG= Q1 0)
                   (SETBITS Q1 54 53 3 (BITS Q1INC 53 3))
                   (SETBITS Q1 54 53 3 (BITS Q0 53 3))))
          (Q0INC (IF1 (LOGIOR1 (LOG<= Q0INC 1)
                               (LOGAND1 (LOG<= Q0INC 3) LSBIS2))
                      (SETBITS Q0INC 54 53 3 (BITS Q1INC 53 3))
                      (SETBITS Q0INC 54 53 3 (BITS Q0 53 3))))
          (Q01 (BITS (IF1 CIN Q1 Q0) 53 0))
          (Q01INC (BITS (IF1 CIN Q1INC Q0INC) 53 0)))
         (MV (BITS (IF1 LSBIS2 (ASH Q01 (- 1)) Q01)
                   52 0)
             (BITS (IF1 LSBIS2 (ASH Q01INC (- 1)) Q01INC)
                   52 0)
             (LOGNOT1 REMZERO))))
(DEFUN RSHFT64 (X S)
       (LET ((XS (BITS (ASH X (- S)) 63 0)))
            (MV XS (LOG<> X (ASH XS S)))))
(DEFUN
 ROUNDER
 (QTRUNC QINC STK SIGN EXPQ RMODE FMT)
 (LET*
  ((LSB (BITN QTRUNC 1))
   (GRD (BITN QTRUNC 0))
   (QRND 0)
   (QRND (IF1 (LOGIOR1 (LOGIOR1 (LOGAND1 (LOGAND1 (LOG= RMODE (RMODENEAR)) GRD)
                                         (LOGIOR1 LSB STK))
                                (LOGAND1 (LOGAND1 (LOG= RMODE (RMODEUP))
                                                  (LOGNOT1 SIGN))
                                         (LOGIOR1 GRD STK)))
                       (LOGAND1 (LOGAND1 (LOG= RMODE (RMODEDN)) SIGN)
                                (LOGIOR1 GRD STK)))
              (BITS QINC 53 1)
              (BITS QTRUNC 53 1)))
   (INX (LOGIOR1 GRD STK))
   (QDEN (BITS 0 63 0))
   (QDEN (CASE FMT
               (2 (LET ((QDEN (SETBITN QDEN 64 53 1)))
                       (SETBITS QDEN 64 52 0 (BITS QTRUNC 52 0))))
               (1 (LET ((QDEN (SETBITN QDEN 64 24 1)))
                       (SETBITS QDEN 64 23 0 (BITS QTRUNC 23 0))))
               (0 (LET ((QDEN (SETBITN QDEN 64 11 1)))
                       (SETBITS QDEN 64 10 0 (BITS QTRUNC 10 0))))
               (T QDEN)))
   (SHFT12 (BITS (- 1 (SI EXPQ 13)) 11 0))
   (SHFT (BITS (IF1 (LOG>= SHFT12 64) 63 SHFT12)
               5 0))
   (LSBDEN 0)
   (GRDDEN 0)
   (STKDEN 0)
   (QSHFT 0))
  (MV-LET
   (QSHFT STKDEN)
   (RSHFT64 QDEN SHFT)
   (LET
     ((LSBDEN (BITN QSHFT 1))
      (GRDDEN (BITN QSHFT 0))
      (STKDEN (LOGIOR1 STKDEN STK))
      (QRNDDEN 0))
     (MV QRND INX
         (BITS (IF1 (LOGIOR1 (LOGIOR1 (LOGAND1 (LOGAND1 (LOG= RMODE (RMODENEAR))
                                                        GRDDEN)
                                               (LOGIOR1 LSBDEN STKDEN))
                                      (LOGAND1 (LOGAND1 (LOG= RMODE (RMODEUP))
                                                        (LOGNOT1 SIGN))
                                               (LOGIOR1 GRDDEN STKDEN)))
                             (LOGAND1 (LOGAND1 (LOG= RMODE (RMODEDN)) SIGN)
                                      (LOGIOR1 GRDDEN STKDEN)))
                    (BITS (+ (BITS QSHFT 53 1) 1) 53 0)
                    (BITS QSHFT 53 1))
               52 0)
         (LOGIOR1 GRDDEN STKDEN))))))
(DEFUN
 FINAL
 (QRND INX QRNDDEN
       INXDEN SIGN EXPQ RMODE FZ FMT FLAGS)
 (LET
  ((SELMAXNORM (LOGIOR1 (LOGIOR1 (LOGAND1 (LOG= RMODE (RMODEDN))
                                          (LOGNOT1 SIGN))
                                 (LOGAND1 (LOG= RMODE (RMODEUP)) SIGN))
                        (LOG= RMODE (RMODEZERO))))
   (D (BITS 0 63 0)))
  (CASE
   FMT
   (2
    (LET
     ((D (SETBITN D 64 63 SIGN)))
     (IF1
         (LOG>= (SI EXPQ 13) 2047)
         (MV (IF1 SELMAXNORM
                  (LET ((D (SETBITS D 64 62 52 2046)))
                       (SETBITS D 64 51 0 4503599627370495))
                  (LET ((D (SETBITS D 64 62 52 2047)))
                       (SETBITS D 64 51 0 0)))
             (SETBITN (SETBITN FLAGS 8 (OFC) 1)
                      8 (IXC)
                      1))
         (IF1 (LOG<= (SI EXPQ 13) 0)
              (IF1 FZ (MV D (SETBITN FLAGS 8 (UFC) 1))
                   (LET* ((EXP (BITN QRNDDEN 52))
                          (D (SETBITS D 64 62 52 EXP))
                          (D (SETBITS D 64 51 0 (BITS QRNDDEN 51 0)))
                          (FLAGS (SETBITN FLAGS 8 (IXC)
                                          (LOGIOR1 (BITN FLAGS (IXC)) INXDEN))))
                         (MV D
                             (SETBITN FLAGS 8 (UFC)
                                      (LOGIOR1 (BITN FLAGS (UFC)) INXDEN)))))
              (MV (SETBITS (SETBITS D 64 62 52 (SI EXPQ 13))
                           64 51 0 (BITS QRND 51 0))
                  (SETBITN FLAGS 8 (IXC)
                           (LOGIOR1 (BITN FLAGS (IXC)) INX)))))))
   (1
    (LET
     ((D (SETBITN D 64 31 SIGN)))
     (IF1
         (LOG>= (SI EXPQ 13) 255)
         (MV (IF1 SELMAXNORM
                  (LET ((D (SETBITS D 64 30 23 254)))
                       (SETBITS D 64 22 0 8388607))
                  (LET ((D (SETBITS D 64 30 23 255)))
                       (SETBITS D 64 22 0 0)))
             (SETBITN (SETBITN FLAGS 8 (OFC) 1)
                      8 (IXC)
                      1))
         (IF1 (LOG<= (SI EXPQ 13) 0)
              (IF1 FZ (MV D (SETBITN FLAGS 8 (UFC) 1))
                   (LET* ((EXP (BITN QRNDDEN 23))
                          (D (SETBITS D 64 30 23 EXP))
                          (D (SETBITS D 64 22 0 (BITS QRNDDEN 22 0)))
                          (FLAGS (SETBITN FLAGS 8 (IXC)
                                          (LOGIOR1 (BITN FLAGS (IXC)) INXDEN))))
                         (MV D
                             (SETBITN FLAGS 8 (UFC)
                                      (LOGIOR1 (BITN FLAGS (UFC)) INXDEN)))))
              (MV (SETBITS (SETBITS D 64 30 23 (SI EXPQ 13))
                           64 22 0 (BITS QRND 22 0))
                  (SETBITN FLAGS 8 (IXC)
                           (LOGIOR1 (BITN FLAGS (IXC)) INX)))))))
   (0
    (LET
     ((D (SETBITN D 64 15 SIGN)))
     (IF1
         (LOG>= (SI EXPQ 13) 31)
         (MV (IF1 SELMAXNORM
                  (LET ((D (SETBITS D 64 14 10 30)))
                       (SETBITS D 64 9 0 1023))
                  (LET ((D (SETBITS D 64 14 10 31)))
                       (SETBITS D 64 9 0 0)))
             (SETBITN (SETBITN FLAGS 8 (OFC) 1)
                      8 (IXC)
                      1))
         (IF1 (LOG<= (SI EXPQ 13) 0)
              (IF1 FZ (MV D (SETBITN FLAGS 8 (UFC) 1))
                   (LET* ((EXP (BITN QRNDDEN 10))
                          (D (SETBITS D 64 14 10 EXP))
                          (D (SETBITS D 64 9 0 (BITS QRNDDEN 9 0)))
                          (FLAGS (SETBITN FLAGS 8 (IXC)
                                          (LOGIOR1 (BITN FLAGS (IXC)) INXDEN))))
                         (MV D
                             (SETBITN FLAGS 8 (UFC)
                                      (LOGIOR1 (BITN FLAGS (UFC)) INXDEN)))))
              (MV (SETBITS (SETBITS D 64 14 10 (SI EXPQ 13))
                           64 9 0 (BITS QRND 9 0))
                  (SETBITN FLAGS 8 (IXC)
                           (LOGIOR1 (BITN FLAGS (IXC)) INX)))))))
   (T (MV D FLAGS)))))
(DEFUN
 SPECIALCASE
 (SIGNA OPA CLASSA FMT DN FLAGS)
 (LET
  ((D (BITS 0 63 0))
   (ATRUNC 0)
   (MANMSB 0)
   (DEFNAN 0)
   (ZERO (BITS 0 63 0)))
  (MV-LET
       (ATRUNC ZERO DEFNAN MANMSB)
       (CASE FMT
             (2 (MV (BITS OPA 63 0)
                    (SETBITN ZERO 64 63 SIGNA)
                    (BITS 9221120237041090560 63 0)
                    (BITS 2251799813685248 63 0)))
             (1 (MV (BITS OPA 31 0)
                    (SETBITN ZERO 64 31 SIGNA)
                    (BITS 2143289344 63 0)
                    (BITS 4194304 63 0)))
             (0 (MV (BITS OPA 15 0)
                    (SETBITN ZERO 64 15 SIGNA)
                    (BITS 32256 63 0)
                    (BITS 512 63 0)))
             (T (MV ATRUNC ZERO DEFNAN MANMSB)))
       (IF1 (LOG= CLASSA 2)
            (MV (BITS (IF1 DN DEFNAN (LOGIOR ATRUNC MANMSB))
                      63 0)
                (SETBITN FLAGS 8 (IOC) 1))
            (MV-LET (FLAGS D)
                    (IF1 (LOG= CLASSA 3)
                         (MV FLAGS
                             (BITS (IF1 DN DEFNAN ATRUNC) 63 0))
                         (IF1 (LOG= CLASSA 0)
                              (MV FLAGS ZERO)
                              (MV-LET (D FLAGS)
                                      (IF1 SIGNA
                                           (MV DEFNAN (SETBITN FLAGS 8 (IOC) 1))
                                           (MV ATRUNC FLAGS))
                                      (MV FLAGS D))))
                    (MV D FLAGS))))))
(DEFUN NORMALIZE (EXPA MANA FMT)
       (LET ((SIGA (BITS 0 52 0)) (BIAS 0))
            (MV-LET (SIGA BIAS)
                    (CASE FMT (2 (MV MANA 1023))
                          (1 (MV (SETBITS SIGA 53 51 29 MANA) 127))
                          (0 (MV (SETBITS SIGA 53 51 42 MANA) 15))
                          (T (MV SIGA BIAS)))
                    (MV-LET (SIGA EXPA)
                            (IF1 (LOG= (SI EXPA 13) 0)
                                 (LET ((CLZ (BITS (CLZ53 SIGA) 5 0)))
                                      (MV (BITS (ASH SIGA CLZ) 52 0)
                                          (BITS (- 1 CLZ) 12 0)))
                                 (MV (SETBITN SIGA 53 52 1) EXPA))
                            (MV SIGA EXPA
                                (BITS (BITS (+ (SI EXPA 13) BIAS) 11 0)
                                      11 1))))))
(DEFUN SQRTPOW2 (EXPQ EXPODD RMODE FMT)
       (LET ((D (BITS 0 63 0))
             (FLAGS (BITS 0 7 0))
             (MANWIDTH 0)
             (MANSQRT2 0))
            (MV-LET (MANWIDTH MANSQRT2)
                    (CASE FMT
                          (2 (MV 52
                                 (BITS (IF1 (LOGIOR1 (LOG= RMODE (RMODENEAR))
                                                     (LOG= RMODE (RMODEUP)))
                                            1865452045155277 1865452045155276)
                                       51 0)))
                          (1 (MV 23
                                 (BITS (IF1 (LOG= RMODE (RMODEUP))
                                            3474676 3474675)
                                       51 0)))
                          (0 (MV 10
                                 (BITS (IF1 (LOG= RMODE (RMODEUP)) 1449 1448)
                                       51 0)))
                          (T (MV MANWIDTH MANSQRT2)))
                    (MV-LET (D FLAGS)
                            (IF1 (LOGNOT1 EXPODD)
                                 (MV MANSQRT2 (SETBITN FLAGS 8 (IXC) 1))
                                 (MV D FLAGS))
                            (MV (SETBITS D 64 (+ MANWIDTH 10)
                                         MANWIDTH EXPQ)
                                FLAGS)))))
(DEFUN FIRSTITER (SIGA EXPODD)
       (LET ((RP (BITS 0 58 0))
             (RN (BITS 0 58 0))
             (QN (BITS 0 53 0))
             (Q 0)
             (I 0))
            (MV-LET (RP Q QN RN I)
                    (IF1 EXPODD
                         (LET* ((RP (SETBITS RP 59 58 56 6))
                                (RP (SETBITS RP 59 55 3 SIGA)))
                               (MV-LET (Q QN RN I)
                                       (IF1 (BITN SIGA 51)
                                            (MV -1 (SETBITS QN 54 53 52 1)
                                                (SETBITS RN 59 58 53 57)
                                                4)
                                            (MV -2 (SETBITS QN 54 53 52 2)
                                                (SETBITS RN 59 58 55 13)
                                                0))
                                       (MV RP Q QN RN I)))
                         (LET* ((RP (SETBITS RP 59 58 57 3))
                                (RP (SETBITS RP 59 56 4 SIGA)))
                               (MV-LET (QN RN Q I)
                                       (IF1 (BITN SIGA 51)
                                            (MV QN RN 0 8)
                                            (MV (SETBITS QN 54 53 52 1)
                                                (SETBITS RN 59 58 53 57)
                                                -1 4))
                                       (MV RP Q QN RN I))))
                    (MV RP RN QN Q I))))
(DEFUN NEXTDIGIT (RP RN I J)
       (LET* ((RP4 (BITS (ASH RP 2) 58 0))
              (RN4 (BITS (ASH RN 2) 58 0))
              (RS8 (BITS (+ (+ (BITS RP4 58 51)
                               (LOGNOT (BITS RN4 58 51)))
                            (LOGIOR1 (BITN RP4 50)
                                     (LOGNOT1 (BITN RN4 50))))
                         7 0))
              (RS7 (BITS RS8 7 1))
              (MP2 0)
              (MP1 0)
              (MZ0 0)
              (MN1 0))
             (MV-LET (MP2 MP1 MZ0 MN1)
                     (CASE I
                           (0 (MV (BITS 12 6 0)
                                  (BITS 4 6 0)
                                  (BITS -4 6 0)
                                  (BITS (IF1 (LOG= J 1) -11 -12) 6 0)))
                           (1 (MV (BITS (IF1 (LOG= J 2) 15 13) 6 0)
                                  (BITS 4 6 0)
                                  (BITS -4 6 0)
                                  (BITS -13 6 0)))
                           (2 (MV (BITS 15 6 0)
                                  (BITS 4 6 0)
                                  (BITS -4 6 0)
                                  (BITS -15 6 0)))
                           (3 (MV (BITS 16 6 0)
                                  (BITS 6 6 0)
                                  (BITS -6 6 0)
                                  (BITS -16 6 0)))
                           (4 (MV (BITS 18 6 0)
                                  (BITS 6 6 0)
                                  (BITS -6 6 0)
                                  (BITS -18 6 0)))
                           (5 (MV (BITS 20 6 0)
                                  (BITS 8 6 0)
                                  (BITS -6 6 0)
                                  (BITS -20 6 0)))
                           (6 (MV (BITS 20 6 0)
                                  (BITS 8 6 0)
                                  (BITS -8 6 0)
                                  (BITS -20 6 0)))
                           (7 (MV (BITS 22 6 0)
                                  (BITS 8 6 0)
                                  (BITS -8 6 0)
                                  (BITS -22 6 0)))
                           (8 (MV (BITS 24 6 0)
                                  (BITS 8 6 0)
                                  (BITS -8 6 0)
                                  (BITS -24 6 0)))
                           (T (MV MP2 MP1 MZ0 MN1)))
                     (LET ((Q 0))
                          (IF1 (LOG>= (SI RS7 7) (SI MP2 7))
                               2
                               (IF1 (LOG>= (SI RS7 7) (SI MP1 7))
                                    1
                                    (IF1 (LOG>= (SI RS7 7) (SI MZ0 7))
                                         0
                                         (IF1 (LOG>= (SI RS7 7) (SI MN1 7))
                                              -1 -2))))))))
(DEFUN
 NEXTREM (RP RN QP QN Q J FMT)
 (LET*
  ((DCAR (BITS 0 58 0))
   (DSUM (BITS 0 58 0))
   (DCAR (SETBITN DCAR 59 56 1))
   (DCAR (SETBITS DCAR 59 55 2 QP))
   (DSUM (SETBITS DSUM 59 55 2 QN)))
  (MV-LET
   (DSUM DCAR)
   (IF1 (LOG> Q 0)
        (MV DSUM
            (SETBITS DCAR 59 (+ (- 53 (* 2 J)) 1)
                     (- 53 (* 2 J))
                     Q))
        (MV (IF1 (LOG< Q 0)
                 (SETBITS DSUM 59 (+ (- 53 (* 2 J)) 1)
                          (- 53 (* 2 J))
                          (- Q))
                 DSUM)
            DCAR))
   (LET
    ((DQCAR 0) (DQSUM 0))
    (MV-LET
     (DQCAR DQSUM)
     (CASE Q (1 (MV DSUM DCAR))
           (2 (MV (BITS (ASH DSUM 1) 58 0)
                  (BITS (ASH DCAR 1) 58 0)))
           (-1 (MV DCAR DSUM))
           (-2 (MV (BITS (ASH DCAR 1) 58 0)
                   (BITS (ASH DSUM 1) 58 0)))
           (T (MV DQCAR DQSUM)))
     (LET*
       ((RP4 (BITS (ASH RP 2) 58 0))
        (RN4 (BITS (ASH RN 2) 58 0))
        (SUM1 (LOGXOR (LOGXOR RN4 RP4) DQCAR))
        (CAR1 (BITS (ASH (LOGIOR (LOGAND (BITS (LOGNOT RN4) 58 0) RP4)
                                 (LOGAND (LOGIOR (BITS (LOGNOT RN4) 58 0) RP4)
                                         DQCAR))
                         1)
                    58 0))
        (CAR1 (IF1 (LOG= FMT 0)
                   (SETBITN CAR1 59 42 0)
                   (IF1 (LOG= FMT 1)
                        (SETBITN CAR1 59 29 0)
                        CAR1)))
        (SUM2 (LOGXOR (LOGXOR SUM1 CAR1)
                      (BITS (LOGNOT DQSUM) 58 0)))
        (CAR2 (BITS (ASH (LOGIOR (LOGAND (BITS (LOGNOT SUM1) 58 0) CAR1)
                                 (LOGAND (LOGIOR (BITS (LOGNOT SUM1) 58 0) CAR1)
                                         (BITS (LOGNOT DQSUM) 58 0)))
                         1)
                    58 0)))
       (IF1 (LOG= Q 0)
            (MV RP4 RN4)
            (MV-LET (CAR2 RP RN)
                    (CASE FMT
                          (2 (LET ((CAR2 (SETBITN CAR2 59 0 1)))
                                  (MV CAR2 CAR2 SUM2)))
                          (1 (LET ((CAR2 (SETBITN CAR2 59 29 1)))
                                  (MV CAR2
                                      (SETBITS RP 59 58 29 (BITS CAR2 58 29))
                                      (SETBITS RN 59 58 29 (BITS SUM2 58 29)))))
                          (0 (LET ((CAR2 (SETBITN CAR2 59 42 1)))
                                  (MV CAR2
                                      (SETBITS RP 59 58 42 (BITS CAR2 58 42))
                                      (SETBITS RN 59 58 42 (BITS SUM2 58 42)))))
                          (T (MV CAR2 RP RN)))
                    (MV RP RN)))))))))
(DEFUN NEXTROOT (QP QN Q J)
       (MV-LET (QN QP)
               (IF1 (LOG> Q 0)
                    (MV QN
                        (SETBITS QP 54 (+ (- 52 (* 2 J)) 1)
                                 (- 52 (* 2 J))
                                 Q))
                    (MV (IF1 (LOG< Q 0)
                             (SETBITS QN 54 (+ (- 52 (* 2 J)) 1)
                                      (- 52 (* 2 J))
                                      (- Q))
                             QN)
                        QP))
               (MV QP QN)))
(DEFUN
 FSQRT64-LOOP-0
 (J N FMT Q I RP RN QP QN EXPINC)
 (DECLARE (XARGS :MEASURE (NFIX (- N J))))
 (IF
    (AND (INTEGERP J) (INTEGERP N) (< J N))
    (LET* ((Q (NEXTDIGIT RP RN I J))
           (I (IF1 (LOG= J 1) (+ I Q) I)))
          (MV-LET (RP RN)
                  (NEXTREM RP RN QP QN Q J FMT)
                  (MV-LET (QP QN)
                          (NEXTROOT QP QN Q J)
                          (LET ((EXPINC (LOGAND EXPINC
                                                (IF1 (LOG< J (- N 1))
                                                     (LOG= Q 0)
                                                     (IF1 (LOG= FMT 1)
                                                          (LOG= Q -2)
                                                          (LOG= Q -1))))))
                               (FSQRT64-LOOP-0 (+ J 1)
                                               N FMT Q I RP RN QP QN EXPINC)))))
    (MV Q I RP RN QP QN EXPINC)))
(DEFUN
 FSQRT64 (OPA FMT FZ DN RMODE)
 (LET
  ((SIGNA 0)
   (EXPA 0)
   (MANA 0)
   (CLASSA 0)
   (FLAGS (BITS 0 7 0)))
  (MV-LET
   (SIGNA EXPA MANA CLASSA FLAGS)
   (ANALYZE OPA FMT FZ FLAGS)
   (IF1
    (LOGIOR1 (LOGIOR1 (LOGIOR1 (LOGIOR1 (LOG= CLASSA 0)
                                        (LOG= CLASSA 1))
                               (LOG= CLASSA 2))
                      (LOG= CLASSA 3))
             SIGNA)
    (SPECIALCASE SIGNA OPA CLASSA FMT DN FLAGS)
    (LET
     ((EXPINC (LOGAND1 (LOG= CLASSA 4)
                       (LOG= RMODE (RMODEUP))))
      (SIGA 0)
      (EXPSHFT 0)
      (EXPQ 0))
     (MV-LET
      (SIGA EXPSHFT EXPQ)
      (NORMALIZE EXPA MANA FMT)
      (LET
       ((EXPODD (BITN EXPSHFT 0)))
       (IF1
        (LOGAND1 (LOG= CLASSA 4) (LOG= MANA 0))
        (SQRTPOW2 EXPQ EXPODD RMODE FMT)
        (LET
         ((RP 0)
          (RN 0)
          (QP 0)
          (QN 0)
          (Q 0)
          (I 0))
         (MV-LET
          (RP RN QN Q I)
          (FIRSTITER SIGA EXPODD)
          (LET*
           ((QP (BITS 0 53 0))
            (EXPINC (LOGAND EXPINC (LOG= QN 0)))
            (N 0)
            (N (CASE FMT (2 (BITS 27 4 0))
                     (1 (BITS 13 4 0))
                     (0 (BITS 6 4 0))
                     (T N))))
           (MV-LET
            (Q I RP RN QP QN EXPINC)
            (FSQRT64-LOOP-0 1 N FMT Q I RP RN QP QN EXPINC)
            (LET
             ((EXPRND (BITS (IF1 EXPINC (+ EXPQ 1) EXPQ)
                            10 0)))
             (MV-LET
              (QP QN)
              (CASE FMT
                    (0 (MV (BITS QP 53 42) (BITS QN 53 42)))
                    (1 (MV (BITS QP 53 28) (BITS QN 53 28)))
                    (T (MV QP QN)))
              (LET
               ((QTRUNC 0) (QINC 0) (STK 0))
               (MV-LET (QTRUNC QINC STK)
                       (COMPUTEQ QP QN RP RN FMT (TRUE$))
                       (LET ((QRND 0)
                             (QRNDDEN 0)
                             (INX 0)
                             (INXDEN 0))
                            (MV-LET (QRND INX QRNDDEN INXDEN)
                                    (ROUNDER QTRUNC QINC STK 0 EXPRND RMODE FMT)
                                    (FINAL QRND INX QRNDDEN INXDEN 0 EXPRND
                                           RMODE FZ FMT FLAGS)))))))))))))))))))
 
     |