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396 | After processing the node, (part of) the next node might already be in |
396 | After processing the node, (part of) the next node might already be in |
397 | cache. |
397 | cache. |
398 | |
398 | |
399 | =back |
399 | =back |
400 | |
400 | |
401 | =head2 BIT FIDDLING / BITSTUFFS |
401 | =head2 BIT FIDDLING / BIT WIZARDRY |
402 | |
402 | |
403 | =over 4 |
403 | =over 4 |
404 | |
404 | |
405 | =item bool ecb_big_endian () |
405 | =item bool ecb_big_endian () |
406 | |
406 | |
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412 | |
412 | |
413 | On systems that are neither, their return values are unspecified. |
413 | On systems that are neither, their return values are unspecified. |
414 | |
414 | |
415 | =item int ecb_ctz32 (uint32_t x) |
415 | =item int ecb_ctz32 (uint32_t x) |
416 | |
416 | |
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417 | =item int ecb_ctz64 (uint64_t x) |
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418 | |
417 | Returns the index of the least significant bit set in C<x> (or |
419 | Returns the index of the least significant bit set in C<x> (or |
418 | equivalently the number of bits set to 0 before the least significant bit |
420 | equivalently the number of bits set to 0 before the least significant bit |
419 | set), starting from 0. If C<x> is 0 the result is undefined. For example: |
421 | set), starting from 0. If C<x> is 0 the result is undefined. |
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422 | |
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423 | For smaller types than C<uint32_t> you can safely use C<ecb_ctz32>. |
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424 | |
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425 | For example: |
420 | |
426 | |
421 | ecb_ctz32 (3) = 0 |
427 | ecb_ctz32 (3) = 0 |
422 | ecb_ctz32 (6) = 1 |
428 | ecb_ctz32 (6) = 1 |
423 | |
429 | |
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430 | =item int ecb_ld32 (uint32_t x) |
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431 | |
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432 | =item int ecb_ld64 (uint64_t x) |
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433 | |
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434 | Returns the index of the most significant bit set in C<x>, or the number |
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435 | of digits the number requires in binary (so that C<< 2**ld <= x < |
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436 | 2**(ld+1) >>). If C<x> is 0 the result is undefined. A common use case is |
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437 | to compute the integer binary logarithm, i.e. C<floor (log2 (n))>, for |
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438 | example to see how many bits a certain number requires to be encoded. |
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439 | |
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440 | This function is similar to the "count leading zero bits" function, except |
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441 | that that one returns how many zero bits are "in front" of the number (in |
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442 | the given data type), while C<ecb_ld> returns how many bits the number |
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443 | itself requires. |
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444 | |
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445 | For smaller types than C<uint32_t> you can safely use C<ecb_ld32>. |
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446 | |
424 | =item int ecb_popcount32 (uint32_t x) |
447 | =item int ecb_popcount32 (uint32_t x) |
425 | |
448 | |
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449 | =item int ecb_popcount64 (uint64_t x) |
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450 | |
426 | Returns the number of bits set to 1 in C<x>. For example: |
451 | Returns the number of bits set to 1 in C<x>. |
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452 | |
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453 | For smaller types than C<uint32_t> you can safely use C<ecb_popcount32>. |
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454 | |
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455 | For example: |
427 | |
456 | |
428 | ecb_popcount32 (7) = 3 |
457 | ecb_popcount32 (7) = 3 |
429 | ecb_popcount32 (255) = 8 |
458 | ecb_popcount32 (255) = 8 |
430 | |
459 | |
431 | =item uint32_t ecb_bswap16 (uint32_t x) |
460 | =item uint32_t ecb_bswap16 (uint32_t x) |
432 | |
461 | |
433 | =item uint32_t ecb_bswap32 (uint32_t x) |
462 | =item uint32_t ecb_bswap32 (uint32_t x) |
434 | |
463 | |
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464 | =item uint64_t ecb_bswap64 (uint64_t x) |
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465 | |
435 | These two functions return the value of the 16-bit (32-bit) value C<x> |
466 | These functions return the value of the 16-bit (32-bit, 64-bit) value |
436 | after reversing the order of bytes (0x11223344 becomes 0x44332211). |
467 | C<x> after reversing the order of bytes (0x11223344 becomes 0x44332211 in |
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468 | C<ecb_bswap32>). |
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469 | |
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470 | =item uint8_t ecb_rotl8 (uint8_t x, unsigned int count) |
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471 | |
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472 | =item uint16_t ecb_rotl16 (uint16_t x, unsigned int count) |
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473 | |
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474 | =item uint32_t ecb_rotl32 (uint32_t x, unsigned int count) |
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475 | |
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476 | =item uint64_t ecb_rotl64 (uint64_t x, unsigned int count) |
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477 | |
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478 | =item uint8_t ecb_rotr8 (uint8_t x, unsigned int count) |
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479 | |
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480 | =item uint16_t ecb_rotr16 (uint16_t x, unsigned int count) |
437 | |
481 | |
438 | =item uint32_t ecb_rotr32 (uint32_t x, unsigned int count) |
482 | =item uint32_t ecb_rotr32 (uint32_t x, unsigned int count) |
439 | |
483 | |
440 | =item uint32_t ecb_rotl32 (uint32_t x, unsigned int count) |
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441 | |
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442 | =item uint64_t ecb_rotr64 (uint64_t x, unsigned int count) |
484 | =item uint64_t ecb_rotr64 (uint64_t x, unsigned int count) |
443 | |
485 | |
444 | =item uint64_t ecb_rotl64 (uint64_t x, unsigned int count) |
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445 | |
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446 | These two functions return the value of C<x> after rotating all the bits |
486 | These two families of functions return the value of C<x> after rotating |
447 | by C<count> positions to the right or left respectively. |
487 | all the bits by C<count> positions to the right (C<ecb_rotr>) or left |
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488 | (C<ecb_rotl>). |
448 | |
489 | |
449 | Current GCC versions understand these functions and usually compile them |
490 | Current GCC versions understand these functions and usually compile them |
450 | to "optimal" code (e.g. a single C<roll> on x86). |
491 | to "optimal" code (e.g. a single C<rol> or a combination of C<shld> on |
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492 | x86). |
451 | |
493 | |
452 | =back |
494 | =back |
453 | |
495 | |
454 | =head2 ARITHMETIC |
496 | =head2 ARITHMETIC |
455 | |
497 | |
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479 | change direction for negative values: |
521 | change direction for negative values: |
480 | |
522 | |
481 | for (m = -100; m <= 100; ++m) |
523 | for (m = -100; m <= 100; ++m) |
482 | int elem = myarray [ecb_mod (m, ecb_array_length (myarray))]; |
524 | int elem = myarray [ecb_mod (m, ecb_array_length (myarray))]; |
483 | |
525 | |
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526 | =item x = ecb_div_rd (val, div) |
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527 | |
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528 | =item x = ecb_div_ru (val, div) |
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529 | |
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530 | Returns C<val> divided by C<div> rounded down or up, respectively. |
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531 | C<val> and C<div> must have integer types and C<div> must be strictly |
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532 | positive. |
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533 | |
484 | =back |
534 | =back |
485 | |
535 | |
486 | =head2 UTILITY |
536 | =head2 UTILITY |
487 | |
537 | |
488 | =over 4 |
538 | =over 4 |