diff options
Diffstat (limited to 'core/math/big/logical.odin')
| -rw-r--r-- | core/math/big/logical.odin | 199 |
1 files changed, 198 insertions, 1 deletions
diff --git a/core/math/big/logical.odin b/core/math/big/logical.odin index 8bc468203..53e296dc1 100644 --- a/core/math/big/logical.odin +++ b/core/math/big/logical.odin @@ -11,6 +11,8 @@ package big This file contains logical operations like `and`, `or` and `xor`. */ +import "core:mem" + /* The `and`, `or` and `xor` binops differ in two lines only. We could handle those with a switch, but that adds overhead. @@ -244,4 +246,199 @@ int_complement :: proc(dest, src: ^Int) -> (err: Error) { return err; } -complement :: proc { int_complement, };
\ No newline at end of file +complement :: proc { int_complement, }; + +/* + quotient, remainder := numerator >> bits; + `remainder` is allowed to be passed a `nil`, in which case `mod` won't be computed. +*/ +int_shrmod :: proc(quotient, remainder, numerator: ^Int, bits: int) -> (err: Error) { + bits := bits; + if err = clear_if_uninitialized(quotient); err != .None { return err; } + if err = clear_if_uninitialized(numerator); err != .None { return err; } + + if bits < 0 { return .Invalid_Argument; } + + if err = copy(quotient, numerator); err != .None { return err; } + + /* + Shift right by a certain bit count (store quotient and optional remainder.) + `numerator` should not be used after this. + */ + if remainder != nil { + if err = mod_bits(remainder, numerator, bits); err != .None { return err; } + } + + /* + Shift by as many digits in the bit count. + */ + if bits >= _DIGIT_BITS { + if err = shr_digit(quotient, bits / _DIGIT_BITS); err != .None { return err; } + } + + /* + Shift any bit count < _DIGIT_BITS. + */ + bits %= _DIGIT_BITS; + if bits != 0 { + mask := DIGIT(1 << uint(bits)) - 1; + shift := DIGIT(_DIGIT_BITS - bits); + carry := DIGIT(0); + + for x := quotient.used; x >= 0; x -= 1 { + /* + Get the lower bits of this word in a temp. + */ + fwd_carry := quotient.digit[x] & mask; + + /* + Shift the current word and mix in the carry bits from the previous word. + */ + quotient.digit[x] = (quotient.digit[x] >> uint(bits)) | (carry << shift); + + /* + Update carry from forward carry. + */ + carry = fwd_carry; + } + + } + return clamp(numerator); +} +shrmod :: proc { int_shrmod, }; + +int_shr :: proc(dest, source: ^Int, bits: int) -> (err: Error) { + return shrmod(dest, nil, source, bits); +} +shr :: proc { int_shr, }; + +/* + Shift right by `digits` * _DIGIT_BITS bits. +*/ +int_shr_digit :: proc(quotient: ^Int, digits: int) -> (err: Error) { + /* + Check that `quotient` is usable. + */ + if err = clear_if_uninitialized(quotient); err != .None { return err; } + + if digits <= 0 { return .None; } + + /* + If digits > used simply zero and return. + */ + if digits > quotient.used { + return zero(quotient); + } + + /* + Much like `int_shl_digit`, this is implemented using a sliding window, + except the window goes the other way around. + + b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> + /\ | ----> + \-------------------/ ----> + */ + + for x := 0; x < (quotient.used - digits); x += 1 { + quotient.digit[x] = quotient.digit[x + digits]; + } + quotient.used -= digits; + _zero_unused(quotient); + return .None; +} +shr_digit :: proc { int_shr_digit, }; + +/* + Shift left by a certain bit count. +*/ +int_shl :: proc(dest, src: ^Int, bits: int) -> (err: Error) { + bits := bits; + if err = clear_if_uninitialized(src); err != .None { return err; } + if err = clear_if_uninitialized(dest); err != .None { return err; } + + if bits < 0 { + return .Invalid_Argument; + } + + if err = copy(dest, src); err != .None { return err; } + + /* + Grow `dest` to accommodate the additional bits. + */ + digits_needed := dest.used + (bits / _DIGIT_BITS) + 1; + if err = grow(dest, digits_needed); err != .None { return err; } + dest.used = digits_needed; + /* + Shift by as many digits in the bit count as we have. + */ + if bits >= _DIGIT_BITS { + if err = shl_digit(dest, bits / _DIGIT_BITS); err != .None { return err; } + } + + /* + Shift any remaining bit count < _DIGIT_BITS + */ + bits %= _DIGIT_BITS; + if bits != 0 { + mask := (DIGIT(1) << uint(bits)) - DIGIT(1); + shift := DIGIT(_DIGIT_BITS - bits); + carry := DIGIT(0); + + for x:= 0; x <= dest.used; x+= 1 { + fwd_carry := (dest.digit[x] >> shift) & mask; + dest.digit[x] = (dest.digit[x] << uint(bits) | carry) & _MASK; + carry = fwd_carry; + } + + /* + Use final carry. + */ + if carry != 0 { + dest.digit[dest.used] = carry; + dest.used += 1; + } + } + return clamp(dest); +} +shl :: proc { int_shl, }; + + +/* + Shift left by `digits` * _DIGIT_BITS bits. +*/ +int_shl_digit :: proc(quotient: ^Int, digits: int) -> (err: Error) { + /* + Check that `quotient` is usable. + */ + if err = clear_if_uninitialized(quotient); err != .None { return err; } + + if digits <= 0 { return .None; } + + /* + No need to shift a zero. + */ + z: bool; + if z, err = is_zero(quotient); z || err != .None { return err; } + + /* + Resize `quotient` to accomodate extra digits. + */ + if err = grow(quotient, quotient.used + digits); err != .None { return err; } + + /* + Increment the used by the shift amount then copy upwards. + */ + quotient.used += digits; + + /* + Much like `int_shr_digit`, this is implemented using a sliding window, + except the window goes the other way around. + */ + for x := quotient.used; x >= digits; x -= 1 { + quotient.digit[x] = quotient.digit[x - digits]; + } + + mem.zero_slice(quotient.digit[:digits]); + return .None; +} +shl_digit :: proc { int_shl_digit, };
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