/* Ported to U-Boot by Christian Pellegrin Based on sources from the Linux kernel (pcnet_cs.c, 8390.h) and eCOS(if_dp83902a.c, if_dp83902a.h). Both of these 2 wonderful world are GPL, so this is, of course, GPL. ========================================================================== dev/if_dp83902a.c Ethernet device driver for NS DP83902a ethernet controller ========================================================================== ####ECOSGPLCOPYRIGHTBEGIN#### ------------------------------------------- This file is part of eCos, the Embedded Configurable Operating System. Copyright (C) 1998, 1999, 2000, 2001, 2002 Red Hat, Inc. eCos is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 or (at your option) any later version. eCos is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with eCos; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA. As a special exception, if other files instantiate templates or use macros or inline functions from this file, or you compile this file and link it with other works to produce a work based on this file, this file does not by itself cause the resulting work to be covered by the GNU General Public License. However the source code for this file must still be made available in accordance with section (3) of the GNU General Public License. This exception does not invalidate any other reasons why a work based on this file might be covered by the GNU General Public License. Alternative licenses for eCos may be arranged by contacting Red Hat, Inc. at http://sources.redhat.com/ecos/ecos-license/ ------------------------------------------- ####ECOSGPLCOPYRIGHTEND#### ####BSDCOPYRIGHTBEGIN#### ------------------------------------------- Portions of this software may have been derived from OpenBSD or other sources, and are covered by the appropriate copyright disclaimers included herein. ------------------------------------------- ####BSDCOPYRIGHTEND#### ========================================================================== #####DESCRIPTIONBEGIN#### Author(s): gthomas Contributors: gthomas, jskov, rsandifo Date: 2001-06-13 Purpose: Description: FIXME: Will fail if pinged with large packets (1520 bytes) Add promisc config Add SNMP ####DESCRIPTIONEND#### ========================================================================== */ #include #include #include /* NE2000 base header file */ #include "ne2000_base.h" /* find prom (taken from pc_net_cs.c from Linux) */ #include "8390.h" /* typedef struct hw_info_t { u_int offset; u_char a0, a1, a2; u_int flags; } hw_info_t; */ #define DELAY_OUTPUT 0x01 #define HAS_MISC_REG 0x02 #define USE_BIG_BUF 0x04 #define HAS_IBM_MISC 0x08 #define IS_DL10019 0x10 #define IS_DL10022 0x20 #define HAS_MII 0x40 #define USE_SHMEM 0x80 /* autodetected */ #define AM79C9XX_HOME_PHY 0x00006B90 /* HomePNA PHY */ #define AM79C9XX_ETH_PHY 0x00006B70 /* 10baseT PHY */ #define MII_PHYID_REV_MASK 0xfffffff0 #define MII_PHYID_REG1 0x02 #define MII_PHYID_REG2 0x03 static hw_info_t hw_info[] = { { /* Accton EN2212 */ 0x0ff0, 0x00, 0x00, 0xe8, DELAY_OUTPUT }, { /* Allied Telesis LA-PCM */ 0x0ff0, 0x00, 0x00, 0xf4, 0 }, { /* APEX MultiCard */ 0x03f4, 0x00, 0x20, 0xe5, 0 }, { /* ASANTE FriendlyNet */ 0x4910, 0x00, 0x00, 0x94, DELAY_OUTPUT | HAS_IBM_MISC }, { /* Danpex EN-6200P2 */ 0x0110, 0x00, 0x40, 0xc7, 0 }, { /* DataTrek NetCard */ 0x0ff0, 0x00, 0x20, 0xe8, 0 }, { /* Dayna CommuniCard E */ 0x0110, 0x00, 0x80, 0x19, 0 }, { /* D-Link DE-650 */ 0x0040, 0x00, 0x80, 0xc8, 0 }, { /* EP-210 Ethernet */ 0x0110, 0x00, 0x40, 0x33, 0 }, { /* EP4000 Ethernet */ 0x01c0, 0x00, 0x00, 0xb4, 0 }, { /* Epson EEN10B */ 0x0ff0, 0x00, 0x00, 0x48, HAS_MISC_REG | HAS_IBM_MISC }, { /* ELECOM Laneed LD-CDWA */ 0xb8, 0x08, 0x00, 0x42, 0 }, { /* Hypertec Ethernet */ 0x01c0, 0x00, 0x40, 0x4c, 0 }, { /* IBM CCAE */ 0x0ff0, 0x08, 0x00, 0x5a, HAS_MISC_REG | HAS_IBM_MISC }, { /* IBM CCAE */ 0x0ff0, 0x00, 0x04, 0xac, HAS_MISC_REG | HAS_IBM_MISC }, { /* IBM CCAE */ 0x0ff0, 0x00, 0x06, 0x29, HAS_MISC_REG | HAS_IBM_MISC }, { /* IBM FME */ 0x0374, 0x08, 0x00, 0x5a, HAS_MISC_REG | HAS_IBM_MISC }, { /* IBM FME */ 0x0374, 0x00, 0x04, 0xac, HAS_MISC_REG | HAS_IBM_MISC }, { /* Kansai KLA-PCM/T */ 0x0ff0, 0x00, 0x60, 0x87, HAS_MISC_REG | HAS_IBM_MISC }, { /* NSC DP83903 */ 0x0374, 0x08, 0x00, 0x17, HAS_MISC_REG | HAS_IBM_MISC }, { /* NSC DP83903 */ 0x0374, 0x00, 0xc0, 0xa8, HAS_MISC_REG | HAS_IBM_MISC }, { /* NSC DP83903 */ 0x0374, 0x00, 0xa0, 0xb0, HAS_MISC_REG | HAS_IBM_MISC }, { /* NSC DP83903 */ 0x0198, 0x00, 0x20, 0xe0, HAS_MISC_REG | HAS_IBM_MISC }, { /* I-O DATA PCLA/T */ 0x0ff0, 0x00, 0xa0, 0xb0, 0 }, { /* Katron PE-520 */ 0x0110, 0x00, 0x40, 0xf6, 0 }, { /* Kingston KNE-PCM/x */ 0x0ff0, 0x00, 0xc0, 0xf0, HAS_MISC_REG | HAS_IBM_MISC }, { /* Kingston KNE-PCM/x */ 0x0ff0, 0xe2, 0x0c, 0x0f, HAS_MISC_REG | HAS_IBM_MISC }, { /* Kingston KNE-PC2 */ 0x0180, 0x00, 0xc0, 0xf0, 0 }, { /* Maxtech PCN2000 */ 0x5000, 0x00, 0x00, 0xe8, 0 }, { /* NDC Instant-Link */ 0x003a, 0x00, 0x80, 0xc6, 0 }, { /* NE2000 Compatible */ 0x0ff0, 0x00, 0xa0, 0x0c, 0 }, { /* Network General Sniffer */ 0x0ff0, 0x00, 0x00, 0x65, HAS_MISC_REG | HAS_IBM_MISC }, { /* Panasonic VEL211 */ 0x0ff0, 0x00, 0x80, 0x45, HAS_MISC_REG | HAS_IBM_MISC }, { /* PreMax PE-200 */ 0x07f0, 0x00, 0x20, 0xe0, 0 }, { /* RPTI EP400 */ 0x0110, 0x00, 0x40, 0x95, 0 }, { /* SCM Ethernet */ 0x0ff0, 0x00, 0x20, 0xcb, 0 }, { /* Socket EA */ 0x4000, 0x00, 0xc0, 0x1b, DELAY_OUTPUT | HAS_MISC_REG | USE_BIG_BUF }, { /* Socket LP-E CF+ */ 0x01c0, 0x00, 0xc0, 0x1b, 0 }, { /* SuperSocket RE450T */ 0x0110, 0x00, 0xe0, 0x98, 0 }, { /* Volktek NPL-402CT */ 0x0060, 0x00, 0x40, 0x05, 0 }, { /* NEC PC-9801N-J12 */ 0x0ff0, 0x00, 0x00, 0x4c, 0 }, { /* PCMCIA Technology OEM */ 0x01c8, 0x00, 0xa0, 0x0c, 0 }, { /* Qemu */ 0x0, 0x52, 0x54, 0x00, 0 }, { /* RTL8019AS */ 0x0, 0x0, 0x18, 0x5f, 0 } }; #define NR_INFO (sizeof(hw_info)/sizeof(hw_info_t)) #define PCNET_CMD 0x00 #define PCNET_DATAPORT 0x10 /* NatSemi-defined port window offset. */ #define PCNET_RESET 0x1f /* Issue a read to reset, a write to clear. */ #define PCNET_MISC 0x18 /* For IBM CCAE and Socket EA cards */ static void pcnet_reset_8390(u8* addr) { int i, r; n2k_outb(E8390_NODMA + E8390_PAGE0+E8390_STOP, E8390_CMD); PRINTK("cmd (at %lx) is %x\n", addr + E8390_CMD, n2k_inb(E8390_CMD)); n2k_outb(E8390_NODMA+E8390_PAGE1+E8390_STOP, E8390_CMD); PRINTK("cmd (at %lx) is %x\n", addr + E8390_CMD, n2k_inb(E8390_CMD)); n2k_outb(E8390_NODMA+E8390_PAGE0+E8390_STOP, E8390_CMD); PRINTK("cmd (at %lx) is %x\n", addr + E8390_CMD, n2k_inb(E8390_CMD)); n2k_outb(E8390_NODMA+E8390_PAGE0+E8390_STOP, E8390_CMD); n2k_outb(n2k_inb(PCNET_RESET), PCNET_RESET); for (i = 0; i < 100; i++) { if ((r = (n2k_inb(EN0_ISR) & ENISR_RESET)) != 0) break; PRINTK("got %x in reset\n", r); udelay(100); } n2k_outb(ENISR_RESET, EN0_ISR); /* Ack intr. */ if (i == 100) printf("pcnet_reset_8390() did not complete.\n"); } /* pcnet_reset_8390 */ int get_prom(u8* mac_addr, u8* base_addr) { u8 prom[32]; int i, j; struct { u_char value, offset; } program_seq[] = { {E8390_NODMA+E8390_PAGE0+E8390_STOP, E8390_CMD}, /* Select page 0*/ {0x48, EN0_DCFG}, /* Set byte-wide (0x48) access. */ {0x00, EN0_RCNTLO}, /* Clear the count regs. */ {0x00, EN0_RCNTHI}, {0x00, EN0_IMR}, /* Mask completion irq. */ {0xFF, EN0_ISR}, {E8390_RXOFF, EN0_RXCR}, /* 0x20 Set to monitor */ {E8390_TXOFF, EN0_TXCR}, /* 0x02 and loopback mode. */ {32, EN0_RCNTLO}, {0x00, EN0_RCNTHI}, {0x00, EN0_RSARLO}, /* DMA starting at 0x0000. */ {0x00, EN0_RSARHI}, {E8390_RREAD+E8390_START, E8390_CMD}, }; PRINTK ("trying to get MAC via prom reading\n"); pcnet_reset_8390 (base_addr); mdelay (10); for (i = 0; i < ARRAY_SIZE(program_seq); i++) n2k_outb (program_seq[i].value, program_seq[i].offset); PRINTK ("PROM:"); for (i = 0; i < 32; i++) { prom[i] = n2k_inb (PCNET_DATAPORT); PRINTK (" %02x", prom[i]); } PRINTK ("\n"); for (i = 0; i < NR_INFO; i++) { if ((prom[0] == hw_info[i].a0) && (prom[2] == hw_info[i].a1) && (prom[4] == hw_info[i].a2)) { PRINTK ("matched board %d\n", i); break; } } if ((i < NR_INFO) || ((prom[28] == 0x57) && (prom[30] == 0x57))) { PRINTK ("on exit i is %d/%ld\n", i, NR_INFO); PRINTK ("MAC address is "); for (j = 0; j < 6; j++) { mac_addr[j] = prom[j << 1]; PRINTK ("%02x:", mac_addr[i]); } PRINTK ("\n"); return (i < NR_INFO) ? i : 0; } return 0; } 2' href='#n162'>162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 
require 'test/unit'

class Complex_Test2 < Test::Unit::TestCase

  def test_kumi
    return unless defined?(Rational)

    assert_equal(Complex(1, 0), +Complex(1, 0))
    assert_equal(Complex(-1, 0), -Complex(1, 0))
    assert_equal(Complex(2, 0),
                 Complex(1, 0) + Complex(1, 0))
    assert_equal(Complex(0, 0),
                 Complex(1, 0) - Complex(1, 0))
    assert_equal(Complex(1, 0),
                 Complex(1, 0) * Complex(1, 0))
    assert_equal(Complex(1, 0),
                 Complex(1, 0) / Complex(1, 0))
    assert_equal(Complex(1073741790, 0),
                 Complex(1, 0) + Complex(1073741789, 0))
    assert_equal(Complex(-1073741788, 0),
                 Complex(1, 0) - Complex(1073741789, 0))
    assert_equal(Complex(1073741789, 0),
                 Complex(1, 0) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1, 1073741789), 0),
                 Complex(1, 0) / Complex(1073741789, 0))
    assert_equal(Complex(1073741828, 0),
                 Complex(1, 0) + Complex(1073741827, 0))
    assert_equal(Complex(-1073741826, 0),
                 Complex(1, 0) - Complex(1073741827, 0))
    assert_equal(Complex(1073741827, 0),
                 Complex(1, 0) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1, 1073741827), 0),
                 Complex(1, 0) / Complex(1073741827, 0))
    assert_equal(Complex(1073741790, 1073741789),
                 Complex(1, 0) + Complex(1073741789, 1073741789))
    assert_equal(Complex(-1073741788, -1073741789),
                 Complex(1, 0) - Complex(1073741789, 1073741789))
    assert_equal(Complex(1073741789, 1073741789),
                 Complex(1, 0) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1, 2147483578), Rational(-1, 2147483578)),
                 Complex(1, 0) / Complex(1073741789, 1073741789))
    assert_equal(Complex(1073741790, 1073741827),
                 Complex(1, 0) + Complex(1073741789, 1073741827))
    assert_equal(Complex(-1073741788, -1073741827),
                 Complex(1, 0) - Complex(1073741789, 1073741827))
    assert_equal(Complex(1073741789, 1073741827),
                 Complex(1, 0) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1073741789, 2305842940494218450), Rational(-1073741827, 2305842940494218450)),
                 Complex(1, 0) / Complex(1073741789, 1073741827))
    assert_equal(Complex(1073741828, 1073741827),
                 Complex(1, 0) + Complex(1073741827, 1073741827))
    assert_equal(Complex(-1073741826, -1073741827),
                 Complex(1, 0) - Complex(1073741827, 1073741827))
    assert_equal(Complex(1073741827, 1073741827),
                 Complex(1, 0) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1, 2147483654), Rational(-1, 2147483654)),
                 Complex(1, 0) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(1, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(38, 1073741827), Rational(-1073741789, 1073741827)),
                 Complex(1, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(1, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1073741827, 2147483578), Rational(-1073741827, 2147483578)),
                 Complex(1, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(2147483616, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(1, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-38, 1073741789), Rational(-1073741827, 1073741789)),
                 Complex(1, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(1, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741789, 2147483654), Rational(-1073741789, 2147483654)),
                 Complex(1, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(1, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(38, 1073741827), Rational(-1073741827, 1073741789)),
                 Complex(1, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(1, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1329227869515035739611240300898290063, 2658455833113515253509575011810600482), Rational(-1329227963598474519442525600436190287, 2658455833113515253509575011810600482)),
                 Complex(1, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741789, 0), +Complex(1073741789, 0))
    assert_equal(Complex(-1073741789, 0), -Complex(1073741789, 0))
    assert_equal(Complex(1073741790, 0),
                 Complex(1073741789, 0) + Complex(1, 0))
    assert_equal(Complex(1073741788, 0),
                 Complex(1073741789, 0) - Complex(1, 0))
    assert_equal(Complex(1073741789, 0),
                 Complex(1073741789, 0) * Complex(1, 0))
    assert_equal(Complex(1073741789, 0),
                 Complex(1073741789, 0) / Complex(1, 0))
    assert_equal(Complex(2147483578, 0),
                 Complex(1073741789, 0) + Complex(1073741789, 0))
    assert_equal(Complex(0, 0),
                 Complex(1073741789, 0) - Complex(1073741789, 0))
    assert_equal(Complex(1152921429444920521, 0),
                 Complex(1073741789, 0) * Complex(1073741789, 0))
    assert_equal(Complex(1, 0),
                 Complex(1073741789, 0) / Complex(1073741789, 0))
    assert_equal(Complex(2147483616, 0),
                 Complex(1073741789, 0) + Complex(1073741827, 0))
    assert_equal(Complex(-38, 0),
                 Complex(1073741789, 0) - Complex(1073741827, 0))
    assert_equal(Complex(1152921470247108503, 0),
                 Complex(1073741789, 0) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), 0),
                 Complex(1073741789, 0) / Complex(1073741827, 0))
    assert_equal(Complex(2147483578, 1073741789),
                 Complex(1073741789, 0) + Complex(1073741789, 1073741789))
    assert_equal(Complex(0, -1073741789),
                 Complex(1073741789, 0) - Complex(1073741789, 1073741789))
    assert_equal(Complex(1152921429444920521, 1152921429444920521),
                 Complex(1073741789, 0) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1, 2), Rational(-1, 2)),
                 Complex(1073741789, 0) / Complex(1073741789, 1073741789))
    assert_equal(Complex(2147483578, 1073741827),
                 Complex(1073741789, 0) + Complex(1073741789, 1073741827))
    assert_equal(Complex(0, -1073741827),
                 Complex(1073741789, 0) - Complex(1073741789, 1073741827))
    assert_equal(Complex(1152921429444920521, 1152921470247108503),
                 Complex(1073741789, 0) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921429444920521, 2305842940494218450), Rational(-1152921470247108503, 2305842940494218450)),
                 Complex(1073741789, 0) / Complex(1073741789, 1073741827))
    assert_equal(Complex(2147483616, 1073741827),
                 Complex(1073741789, 0) + Complex(1073741827, 1073741827))
    assert_equal(Complex(-38, -1073741827),
                 Complex(1073741789, 0) - Complex(1073741827, 1073741827))
    assert_equal(Complex(1152921470247108503, 1152921470247108503),
                 Complex(1073741789, 0) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1073741789, 2147483654), Rational(-1073741789, 2147483654)),
                 Complex(1073741789, 0) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(1073741789, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(-1073741789, 1073741827)),
                 Complex(1073741789, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921429444920521, 1073741827), Rational(1152921429444920521, 1073741827)),
                 Complex(1073741789, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1073741827, 2), Rational(-1073741827, 2)),
                 Complex(1073741789, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(1073741789, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(-1073741827, 1073741789)),
                 Complex(1073741789, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741827, 1073741827),
                 Complex(1073741789, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921429444920521, 2147483654), Rational(-1152921429444920521, 2147483654)),
                 Complex(1073741789, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(1073741789, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(-1073741827, 1073741789)),
                 Complex(1073741789, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921429444920521, 1073741827), 1073741827),
                 Complex(1073741789, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1427247510601733037449111325195428279286542707, 2658455833113515253509575011810600482), Rational(-1427247611623052908177132720890654139107803443, 2658455833113515253509575011810600482)),
                 Complex(1073741789, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741827, 0), +Complex(1073741827, 0))
    assert_equal(Complex(-1073741827, 0), -Complex(1073741827, 0))
    assert_equal(Complex(1073741828, 0),
                 Complex(1073741827, 0) + Complex(1, 0))
    assert_equal(Complex(1073741826, 0),
                 Complex(1073741827, 0) - Complex(1, 0))
    assert_equal(Complex(1073741827, 0),
                 Complex(1073741827, 0) * Complex(1, 0))
    assert_equal(Complex(1073741827, 0),
                 Complex(1073741827, 0) / Complex(1, 0))
    assert_equal(Complex(2147483616, 0),
                 Complex(1073741827, 0) + Complex(1073741789, 0))
    assert_equal(Complex(38, 0),
                 Complex(1073741827, 0) - Complex(1073741789, 0))
    assert_equal(Complex(1152921470247108503, 0),
                 Complex(1073741827, 0) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1073741827, 1073741789), 0),
                 Complex(1073741827, 0) / Complex(1073741789, 0))
    assert_equal(Complex(2147483654, 0),
                 Complex(1073741827, 0) + Complex(1073741827, 0))
    assert_equal(Complex(0, 0),
                 Complex(1073741827, 0) - Complex(1073741827, 0))
    assert_equal(Complex(1152921511049297929, 0),
                 Complex(1073741827, 0) * Complex(1073741827, 0))
    assert_equal(Complex(1, 0),
                 Complex(1073741827, 0) / Complex(1073741827, 0))
    assert_equal(Complex(2147483616, 1073741789),
                 Complex(1073741827, 0) + Complex(1073741789, 1073741789))
    assert_equal(Complex(38, -1073741789),
                 Complex(1073741827, 0) - Complex(1073741789, 1073741789))
    assert_equal(Complex(1152921470247108503, 1152921470247108503),
                 Complex(1073741827, 0) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1073741827, 2147483578), Rational(-1073741827, 2147483578)),
                 Complex(1073741827, 0) / Complex(1073741789, 1073741789))
    assert_equal(Complex(2147483616, 1073741827),
                 Complex(1073741827, 0) + Complex(1073741789, 1073741827))
    assert_equal(Complex(38, -1073741827),
                 Complex(1073741827, 0) - Complex(1073741789, 1073741827))
    assert_equal(Complex(1152921470247108503, 1152921511049297929),
                 Complex(1073741827, 0) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921470247108503, 2305842940494218450), Rational(-1152921511049297929, 2305842940494218450)),
                 Complex(1073741827, 0) / Complex(1073741789, 1073741827))
    assert_equal(Complex(2147483654, 1073741827),
                 Complex(1073741827, 0) + Complex(1073741827, 1073741827))
    assert_equal(Complex(0, -1073741827),
                 Complex(1073741827, 0) - Complex(1073741827, 1073741827))
    assert_equal(Complex(1152921511049297929, 1152921511049297929),
                 Complex(1073741827, 0) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1, 2), Rational(-1, 2)),
                 Complex(1073741827, 0) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(1073741827, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(-1073741789, 1073741827)),
                 Complex(1073741827, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(1073741789, 1073741789),
                 Complex(1073741827, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921511049297929, 2147483578), Rational(-1152921511049297929, 2147483578)),
                 Complex(1073741827, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(1073741827, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921469173366676, 1073741789), Rational(-1073741827, 1073741789)),
                 Complex(1073741827, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921511049297929, 1073741789), Rational(1152921511049297929, 1073741789)),
                 Complex(1073741827, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741789, 2), Rational(-1073741789, 2)),
                 Complex(1073741827, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(1073741827, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(-1073741827, 1073741789)),
                 Complex(1073741827, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741789, Rational(1152921511049297929, 1073741789)),
                 Complex(1073741827, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1427247561112392079020469430422559713421565101, 2658455833113515253509575011810600482), Rational(-1427247662133715524919164459706626955683034349, 2658455833113515253509575011810600482)),
                 Complex(1073741827, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741789, 1073741789), +Complex(1073741789, 1073741789))
    assert_equal(Complex(-1073741789, -1073741789), -Complex(1073741789, 1073741789))
    assert_equal(Complex(1073741790, 1073741789),
                 Complex(1073741789, 1073741789) + Complex(1, 0))
    assert_equal(Complex(1073741788, 1073741789),
                 Complex(1073741789, 1073741789) - Complex(1, 0))
    assert_equal(Complex(1073741789, 1073741789),
                 Complex(1073741789, 1073741789) * Complex(1, 0))
    assert_equal(Complex(1073741789, 1073741789),
                 Complex(1073741789, 1073741789) / Complex(1, 0))
    assert_equal(Complex(2147483578, 1073741789),
                 Complex(1073741789, 1073741789) + Complex(1073741789, 0))
    assert_equal(Complex(0, 1073741789),
                 Complex(1073741789, 1073741789) - Complex(1073741789, 0))
    assert_equal(Complex(1152921429444920521, 1152921429444920521),
                 Complex(1073741789, 1073741789) * Complex(1073741789, 0))
    assert_equal(Complex(1, 1),
                 Complex(1073741789, 1073741789) / Complex(1073741789, 0))
    assert_equal(Complex(2147483616, 1073741789),
                 Complex(1073741789, 1073741789) + Complex(1073741827, 0))
    assert_equal(Complex(-38, 1073741789),
                 Complex(1073741789, 1073741789) - Complex(1073741827, 0))
    assert_equal(Complex(1152921470247108503, 1152921470247108503),
                 Complex(1073741789, 1073741789) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(1073741789, 1073741789) / Complex(1073741827, 0))
    assert_equal(Complex(2147483578, 2147483578),
                 Complex(1073741789, 1073741789) + Complex(1073741789, 1073741789))
    assert_equal(Complex(0, 0),
                 Complex(1073741789, 1073741789) - Complex(1073741789, 1073741789))
    assert_equal(Complex(0, 2305842858889841042),
                 Complex(1073741789, 1073741789) * Complex(1073741789, 1073741789))
    assert_equal(Complex(1, 0),
                 Complex(1073741789, 1073741789) / Complex(1073741789, 1073741789))
    assert_equal(Complex(2147483578, 2147483616),
                 Complex(1073741789, 1073741789) + Complex(1073741789, 1073741827))
    assert_equal(Complex(0, -38),
                 Complex(1073741789, 1073741789) - Complex(1073741789, 1073741827))
    assert_equal(Complex(-40802187982, 2305842899692029024),
                 Complex(1073741789, 1073741789) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921449846014512, 1152921470247109225), Rational(-20401093991, 1152921470247109225)),
                 Complex(1073741789, 1073741789) / Complex(1073741789, 1073741827))
    assert_equal(Complex(2147483616, 2147483616),
                 Complex(1073741789, 1073741789) + Complex(1073741827, 1073741827))
    assert_equal(Complex(-38, -38),
                 Complex(1073741789, 1073741789) - Complex(1073741827, 1073741827))
    assert_equal(Complex(0, 2305842940494217006),
                 Complex(1073741789, 1073741789) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1073741789, 1073741827), 0),
                 Complex(1073741789, 1073741789) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850292, 1073741827)),
                 Complex(1073741789, 1073741789) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921469173366714, 1073741827)),
                 Complex(1073741789, 1073741789) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, Rational(2305842858889841042, 1073741827)),
                 Complex(1073741789, 1073741789) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(1073741827, 0),
                 Complex(1073741789, 1073741789) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921430518662348, 1073741789)),
                 Complex(1073741789, 1073741789) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(1152921428371178694, 1073741789)),
                 Complex(1073741789, 1073741789) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, 2147483654),
                 Complex(1073741789, 1073741789) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921429444920521, 1073741827), 0),
                 Complex(1073741789, 1073741789) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921430518662348, 1073741789)),
                 Complex(1073741789, 1073741789) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921428371178694, 1073741789)),
                 Complex(1073741789, 1073741789) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1073741827), Rational(2305842940494218450, 1073741827)),
                 Complex(1073741789, 1073741789) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1427247561112392972813122023043041209197173075, 1329227916556757626754787505905300241), Rational(-50510659935364010697847612929910630368, 1329227916556757626754787505905300241)),
                 Complex(1073741789, 1073741789) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741789, 1073741827), +Complex(1073741789, 1073741827))
    assert_equal(Complex(-1073741789, -1073741827), -Complex(1073741789, 1073741827))
    assert_equal(Complex(1073741790, 1073741827),
                 Complex(1073741789, 1073741827) + Complex(1, 0))
    assert_equal(Complex(1073741788, 1073741827),
                 Complex(1073741789, 1073741827) - Complex(1, 0))
    assert_equal(Complex(1073741789, 1073741827),
                 Complex(1073741789, 1073741827) * Complex(1, 0))
    assert_equal(Complex(1073741789, 1073741827),
                 Complex(1073741789, 1073741827) / Complex(1, 0))
    assert_equal(Complex(2147483578, 1073741827),
                 Complex(1073741789, 1073741827) + Complex(1073741789, 0))
    assert_equal(Complex(0, 1073741827),
                 Complex(1073741789, 1073741827) - Complex(1073741789, 0))
    assert_equal(Complex(1152921429444920521, 1152921470247108503),
                 Complex(1073741789, 1073741827) * Complex(1073741789, 0))
    assert_equal(Complex(1, Rational(1073741827, 1073741789)),
                 Complex(1073741789, 1073741827) / Complex(1073741789, 0))
    assert_equal(Complex(2147483616, 1073741827),
                 Complex(1073741789, 1073741827) + Complex(1073741827, 0))
    assert_equal(Complex(-38, 1073741827),
                 Complex(1073741789, 1073741827) - Complex(1073741827, 0))
    assert_equal(Complex(1152921470247108503, 1152921511049297929),
                 Complex(1073741789, 1073741827) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), 1),
                 Complex(1073741789, 1073741827) / Complex(1073741827, 0))
    assert_equal(Complex(2147483578, 2147483616),
                 Complex(1073741789, 1073741827) + Complex(1073741789, 1073741789))
    assert_equal(Complex(0, 38),
                 Complex(1073741789, 1073741827) - Complex(1073741789, 1073741789))
    assert_equal(Complex(-40802187982, 2305842899692029024),
                 Complex(1073741789, 1073741827) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1073741808, 1073741789), Rational(19, 1073741789)),
                 Complex(1073741789, 1073741827) / Complex(1073741789, 1073741789))
    assert_equal(Complex(2147483578, 2147483654),
                 Complex(1073741789, 1073741827) + Complex(1073741789, 1073741827))
    assert_equal(Complex(0, 0),
                 Complex(1073741789, 1073741827) - Complex(1073741789, 1073741827))
    assert_equal(Complex(-81604377408, 2305842940494217006),
                 Complex(1073741789, 1073741827) * Complex(1073741789, 1073741827))
    assert_equal(Complex(1, 0),
                 Complex(1073741789, 1073741827) / Complex(1073741789, 1073741827))
    assert_equal(Complex(2147483616, 2147483654),
                 Complex(1073741789, 1073741827) + Complex(1073741827, 1073741827))
    assert_equal(Complex(-38, 0),
                 Complex(1073741789, 1073741827) - Complex(1073741827, 1073741827))
    assert_equal(Complex(-40802189426, 2305842981296406432),
                 Complex(1073741789, 1073741827) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1073741808, 1073741827), Rational(19, 1073741827)),
                 Complex(1073741789, 1073741827) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921512123039718, 1073741827)),
                 Complex(1073741789, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921509975556140, 1073741827)),
                 Complex(1073741789, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(-40802187982, 1073741827), Rational(2305842899692029024, 1073741827)),
                 Complex(1073741789, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921490648203216, 1073741789), Rational(20401094713, 1073741789)),
                 Complex(1073741789, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921471320850330, 1073741789)),
                 Complex(1073741789, 1073741827) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(1152921469173366676, 1073741789)),
                 Complex(1073741789, 1073741827) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-40802189426, 1073741789), Rational(2305842981296406432, 1073741789)),
                 Complex(1073741789, 1073741827) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921449846014512, 1073741827), Rational(20401093991, 1073741827)),
                 Complex(1073741789, 1073741827) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850330, 1073741789)),
                 Complex(1073741789, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921469173366676, 1073741789)),
                 Complex(1073741789, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-131433047608170424214, 1152921470247108503), 2147483616),
                 Complex(1073741789, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1427247586367724281184137892451027617484788528, 1329227916556757626754787505905300241), Rational(-25255330414578331645234047212843119171, 1329227916556757626754787505905300241)),
                 Complex(1073741789, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741827, 1073741827), +Complex(1073741827, 1073741827))
    assert_equal(Complex(-1073741827, -1073741827), -Complex(1073741827, 1073741827))
    assert_equal(Complex(1073741828, 1073741827),
                 Complex(1073741827, 1073741827) + Complex(1, 0))
    assert_equal(Complex(1073741826, 1073741827),
                 Complex(1073741827, 1073741827) - Complex(1, 0))
    assert_equal(Complex(1073741827, 1073741827),
                 Complex(1073741827, 1073741827) * Complex(1, 0))
    assert_equal(Complex(1073741827, 1073741827),
                 Complex(1073741827, 1073741827) / Complex(1, 0))
    assert_equal(Complex(2147483616, 1073741827),
                 Complex(1073741827, 1073741827) + Complex(1073741789, 0))
    assert_equal(Complex(38, 1073741827),
                 Complex(1073741827, 1073741827) - Complex(1073741789, 0))
    assert_equal(Complex(1152921470247108503, 1152921470247108503),
                 Complex(1073741827, 1073741827) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(1073741827, 1073741827) / Complex(1073741789, 0))
    assert_equal(Complex(2147483654, 1073741827),
                 Complex(1073741827, 1073741827) + Complex(1073741827, 0))
    assert_equal(Complex(0, 1073741827),
                 Complex(1073741827, 1073741827) - Complex(1073741827, 0))
    assert_equal(Complex(1152921511049297929, 1152921511049297929),
                 Complex(1073741827, 1073741827) * Complex(1073741827, 0))
    assert_equal(Complex(1, 1),
                 Complex(1073741827, 1073741827) / Complex(1073741827, 0))
    assert_equal(Complex(2147483616, 2147483616),
                 Complex(1073741827, 1073741827) + Complex(1073741789, 1073741789))
    assert_equal(Complex(38, 38),
                 Complex(1073741827, 1073741827) - Complex(1073741789, 1073741789))
    assert_equal(Complex(0, 2305842940494217006),
                 Complex(1073741827, 1073741827) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1073741827, 1073741789), 0),
                 Complex(1073741827, 1073741827) / Complex(1073741789, 1073741789))
    assert_equal(Complex(2147483616, 2147483654),
                 Complex(1073741827, 1073741827) + Complex(1073741789, 1073741827))
    assert_equal(Complex(38, 0),
                 Complex(1073741827, 1073741827) - Complex(1073741789, 1073741827))
    assert_equal(Complex(-40802189426, 2305842981296406432),
                 Complex(1073741827, 1073741827) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921490648203216, 1152921470247109225), Rational(-20401094713, 1152921470247109225)),
                 Complex(1073741827, 1073741827) / Complex(1073741789, 1073741827))
    assert_equal(Complex(2147483654, 2147483654),
                 Complex(1073741827, 1073741827) + Complex(1073741827, 1073741827))
    assert_equal(Complex(0, 0),
                 Complex(1073741827, 1073741827) - Complex(1073741827, 1073741827))
    assert_equal(Complex(0, 2305843022098595858),
                 Complex(1073741827, 1073741827) * Complex(1073741827, 1073741827))
    assert_equal(Complex(1, 0),
                 Complex(1073741827, 1073741827) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921512123039718, 1073741827)),
                 Complex(1073741827, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(1152921509975556140, 1073741827)),
                 Complex(1073741827, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, 2147483578),
                 Complex(1073741827, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921511049297929, 1073741789), 0),
                 Complex(1073741827, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1152921471320850330, 1073741789)),
                 Complex(1073741827, 1073741827) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921469173366676, 1073741789), Rational(1152921469173366676, 1073741789)),
                 Complex(1073741827, 1073741827) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, Rational(2305843022098595858, 1073741789)),
                 Complex(1073741827, 1073741827) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1073741789, 0),
                 Complex(1073741827, 1073741827) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921471320850330, 1073741789)),
                 Complex(1073741827, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(1152921469173366676, 1073741789)),
                 Complex(1073741827, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1073741789), Rational(2305842940494218450, 1073741789)),
                 Complex(1073741827, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1427247611623053801969816945064593334552299725, 1329227916556757626754787505905300241), Rational(-50510661722949347514642033621130734624, 1329227916556757626754787505905300241)),
                 Complex(1073741827, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), +Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(-1073741789, 1073741827), Rational(-1073741789, 1073741827)), -Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1, 0))
    assert_equal(Complex(Rational(-38, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1, 0))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 0))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 0))
    assert_equal(Complex(Rational(1152921429444920521, 1073741827), Rational(1152921429444920521, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1, 1073741827), Rational(1, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 0))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741827, 0))
    assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(1073741789, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741827, 0))
    assert_equal(Complex(1073741789, 1073741789),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1073741789, 1152921511049297929), Rational(1073741789, 1152921511049297929)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741827, 0))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850292, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921469173366714, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 1073741789))
    assert_equal(Complex(0, Rational(2305842858889841042, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1, 1073741827), 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921512123039718, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921509975556140, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-40802187982, 1073741827), Rational(2305842899692029024, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921449846014512, 1237940005850657200720054075), Rational(-20401093991, 1237940005850657200720054075)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921512123039718, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(-1152921509975556140, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741827, 1073741827))
    assert_equal(Complex(0, 2147483578),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1073741789, 1152921511049297929), 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2147483578, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, Rational(2305842858889841042, 1152921511049297929)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(1, 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2305842940494218450, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1152921470247108503), Rational(-81604377408, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, 2),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921429444920521, 1152921511049297929), 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2305842940494218450, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, Rational(-81604377408, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1152921511049297929), Rational(2305842940494218450, 1152921511049297929)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1329227869515036572020512360130906225, 1329227916556757626754787505905300241), Rational(-47041717725097069072123994784, 1329227916556757626754787505905300241)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), +Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-1073741827, 1073741789), Rational(-1073741827, 1073741789)), -Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2147483616, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1, 0))
    assert_equal(Complex(Rational(38, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1, 0))
    assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1, 0))
    assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1, 0))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 0))
    assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 0))
    assert_equal(Complex(1073741827, 1073741827),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1073741827, 1152921429444920521), Rational(1073741827, 1152921429444920521)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 0))
    assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741827, 0))
    assert_equal(Complex(Rational(-1152921469173366676, 1073741789), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741827, 0))
    assert_equal(Complex(Rational(1152921511049297929, 1073741789), Rational(1152921511049297929, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1, 1073741789), Rational(1, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741827, 0))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921430518662348, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(-1152921428371178694, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741789))
    assert_equal(Complex(0, 2147483654),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1073741827, 1152921429444920521), 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921471320850330, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(-1152921469173366676, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-40802189426, 1073741789), Rational(2305842981296406432, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921490648203216, 1237939962039641331329903525), Rational(-20401094713, 1237939962039641331329903525)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1152921471320850330, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(-1152921469173366676, 1073741789), Rational(-1152921469173366676, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741827, 1073741827))
    assert_equal(Complex(0, Rational(2305843022098595858, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1, 1073741789), 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2305842940494218450, 1152921470247108503)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(81604377408, 1152921470247108503), Rational(81604377408, 1152921470247108503)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, 2),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921511049297929, 1152921429444920521), 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(2147483654, 1073741789), Rational(2147483654, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, Rational(2305843022098595858, 1152921429444920521)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1, 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2147483654, 1073741789)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(81604377408, 1152921470247108503), 0),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1152921429444920521), Rational(2305842940494218450, 1152921429444920521)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1329227963598475351851856578029295025, 1329227916556757626754787505905300241), Rational(-47041721054734275145774394016, 1329227916556757626754787505905300241)),
                 Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)), +Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-1073741789, 1073741827), Rational(-1073741827, 1073741789)), -Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1, 0))
    assert_equal(Complex(Rational(-38, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1, 0))
    assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1, 0))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 0))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 0))
    assert_equal(Complex(Rational(1152921429444920521, 1073741827), 1073741827),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 0))
    assert_equal(Complex(Rational(1, 1073741827), Rational(1073741827, 1152921429444920521)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 0))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741827, 0))
    assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(1073741827, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741827, 0))
    assert_equal(Complex(1073741789, Rational(1152921511049297929, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741827, 0))
    assert_equal(Complex(Rational(1073741789, 1152921511049297929), Rational(1, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741827, 0))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921430518662348, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921428371178694, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(-81604377408, 1073741827), Rational(2305842940494218450, 1073741827)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1152921470247109225, 1237939962039640556088331867), Rational(40802188704, 1237939962039640556088331867)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741789))
    assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850330, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921469173366676, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(-131433047608170424214, 1152921470247108503), 2147483616),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1237939983945150041266564176, 1329227916556755129526882950667240175), Rational(19, 1152921470247109225)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741827))
    assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921471320850330, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(-1152921469173366676, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(-81604377408, 1073741789), Rational(2305842940494218450, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(1152921470247109225, 1237940005850656425478454981), Rational(40802188704, 1237940005850656425478454981)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741827, 1073741827))
    assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2305842940494218450, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(0, Rational(81604377408, 1152921470247108503)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(-81604377408, 1152921511049297929), Rational(2305842940494218450, 1152921511049297929)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(1152921470247109225, 1152921429444920521), Rational(40802188704, 1152921429444920521)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)))
    assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2147483654, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1152921470247108503), 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-81604377408, 1152921429444920521), Rational(2305842940494218450, 1152921429444920521)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(1152921470247109225, 1152921511049297929), Rational(40802188704, 1152921511049297929)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2147483654, 1073741789)),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(0, 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(Rational(-188166877559662688435796777600, 1329227916556754297117581432254901009), 2),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
    assert_equal(Complex(1, 0),
                 Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)))
  end

  def test_kumi2
    assert_equal('0.0+0.0i', (+Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0-0.0i', (-Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) * Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(-0.0, +0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(+0.0, +0.0) * Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) * Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, +0.0) * Complex(-0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (+Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (-Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) + Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) - Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) * Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) + Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) - Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(-0.0, +0.0) * Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) + Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) - Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) * Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) + Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) - Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) * Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0-0.0i', (+Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (-Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) + Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) - Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) * Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) + Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) - Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) * Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) + Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) - Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) * Complex(+0.0, -0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) + Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) - Complex(-0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(+0.0, -0.0) * Complex(-0.0, -0.0)).to_s)
    assert_equal('-0.0-0.0i', (+Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (-Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) + Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0-0.0i', (Complex(-0.0, -0.0) - Complex(+0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) * Complex(+0.0, +0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) + Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) - Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) * Complex(-0.0, +0.0)).to_s)
    assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) + Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) - Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) * Complex(+0.0, -0.0)).to_s)
    assert_equal('-0.0-0.0i', (Complex(-0.0, -0.0) + Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) - Complex(-0.0, -0.0)).to_s)
    assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) * Complex(-0.0, -0.0)).to_s)
  end

end
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