Use file-wide "no exceptions" enforcement
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@ -91,16 +91,18 @@ template `[]=`*(a: var Bigint, idx: int, w: Word) =
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#
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#
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# ############################################################
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# ############################################################
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# No exceptions allowed
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{.push raises: [].}
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# TODO: {.inline.} analysis
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# TODO: {.inline.} analysis
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func isZero*(a: BigInt): CTBool[Word] {.raises: [].} =
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func isZero*(a: BigInt): CTBool[Word] =
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## Returns if a big int is equal to zero
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## Returns if a big int is equal to zero
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var accum: Word
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var accum: Word
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for i in static(0 ..< a.limbs.len):
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for i in static(0 ..< a.limbs.len):
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accum = accum or a.limbs[i]
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accum = accum or a.limbs[i]
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result = accum.isZero()
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result = accum.isZero()
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func `==`*(a, b: BigInt): CTBool[Word] {.raises: [].}=
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func `==`*(a, b: BigInt): CTBool[Word] =
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## Returns true if 2 big ints are equal
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## Returns true if 2 big ints are equal
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var accum: Word
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var accum: Word
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for i in static(0 ..< a.limbs.len):
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for i in static(0 ..< a.limbs.len):
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@ -54,7 +54,10 @@ template `[]`(a: Fp, idx: int): Word =
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#
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#
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# ############################################################
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# ############################################################
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func `+`*(a, b: Fp): Fp =
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# No exceptions allowed
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{.push raises: [].}
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func `+`*(a, b: Fp): Fp {.noInit.}=
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## Addition over Fp
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## Addition over Fp
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# Non-CT implementation from Stint
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# Non-CT implementation from Stint
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@ -15,6 +15,9 @@
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import
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import
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./word_types, ./bigints, ./field_fp, ./curves_config
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./word_types, ./bigints, ./field_fp, ./curves_config
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# No exceptions allowed
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{.push raises: [].}
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func toMonty*[C: static Curve](a: Fp[C]): Montgomery[C] =
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func toMonty*[C: static Curve](a: Fp[C]): Montgomery[C] =
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## Convert a big integer over Fp to it's montgomery representation
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## Convert a big integer over Fp to it's montgomery representation
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## over Fp.
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## over Fp.
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@ -19,6 +19,9 @@ from bitops import fastLog2
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# This will only be used at compile-time
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# This will only be used at compile-time
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# so no constant-time worries (it is constant-time if using the De Bruijn multiplication)
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# so no constant-time worries (it is constant-time if using the De Bruijn multiplication)
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# No exceptions allowed
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{.push raises: [].}
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func montyMagic*(M: static BigInt): static Word {.inline.} =
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func montyMagic*(M: static BigInt): static Word {.inline.} =
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## Returns the Montgomery domain magic number for the input modulus:
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## Returns the Montgomery domain magic number for the input modulus:
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## -1/M[0] mod LimbSize
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## -1/M[0] mod LimbSize
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@ -16,25 +16,30 @@ type
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## by conditional branches, we don't use booleans.
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## by conditional branches, we don't use booleans.
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## We use an int to prevent compiler "optimization" and introduction of branches
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## We use an int to prevent compiler "optimization" and introduction of branches
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func ctrue*(T: typedesc[Ct or BaseUint]): auto {.inline, raises: [].}=
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# No exceptions allowed
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{.push raises: [].}
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# Word primitives are inlined
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{.push inline.}
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func ctrue*(T: typedesc[Ct or BaseUint]): auto =
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when T is Ct:
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when T is Ct:
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(CTBool[T])(true)
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(CTBool[T])(true)
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else:
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else:
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(CTBool[Ct[T]])(true)
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(CTBool[Ct[T]])(true)
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func cfalse*(T: typedesc[Ct or BaseUint]): auto {.inline, raises: [].}=
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func cfalse*(T: typedesc[Ct or BaseUint]): auto =
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when T is Ct:
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when T is Ct:
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(CTBool[T])(false)
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(CTBool[T])(false)
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else:
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else:
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(CTBool[Ct[T]])(false)
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(CTBool[Ct[T]])(false)
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func ct*[T: BaseUint](x: T): Ct[T] {.inline, raises: [].}=
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func ct*[T: BaseUint](x: T): Ct[T] =
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(Ct[T])(x)
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(Ct[T])(x)
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func `$`*[T](x: Ct[T]): string {.inline, raises: [].} =
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func `$`*[T](x: Ct[T]): string =
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$T(x)
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$T(x)
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func `$`*(x: CTBool): string {.inline, raises: [].} =
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func `$`*(x: CTBool): string =
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$bool(x)
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$bool(x)
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# ############################################################
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# ############################################################
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@ -62,7 +67,7 @@ func `$`*(x: CTBool): string {.inline, raises: [].} =
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# - https://github.com/nim-lang/Nim/pull/8531
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# - https://github.com/nim-lang/Nim/pull/8531
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# - https://github.com/nim-lang/Nim/issues/4121 (can be workaround with #8531)
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# - https://github.com/nim-lang/Nim/issues/4121 (can be workaround with #8531)
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func high*(T: typedesc[Ct]): T {.inline, raises: [].}=
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func high*(T: typedesc[Ct]): T =
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not T(0)
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not T(0)
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func `and`*[T: Ct](x, y: T): T {.magic: "BitandI".}
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func `and`*[T: Ct](x, y: T): T {.magic: "BitandI".}
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@ -87,7 +92,7 @@ func `*`*[T: Ct](x, y: T): T {.magic: "MulU".}
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# We don't implement div/mod as we can't assume the hardware implementation
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# We don't implement div/mod as we can't assume the hardware implementation
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# is constant-time
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# is constant-time
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func `-`*(x: Ct): Ct {.inline, raises: [].}=
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func `-`*(x: Ct): Ct =
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## Unary minus returns the two-complement representation
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## Unary minus returns the two-complement representation
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## of an unsigned integer
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## of an unsigned integer
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{.emit:"`result` = -`x`;".}
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{.emit:"`result` = -`x`;".}
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@ -98,7 +103,7 @@ func `-`*(x: Ct): Ct {.inline, raises: [].}=
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#
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#
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# ############################################################
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# ############################################################
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func isMsbSet*[T: Ct](x: T): CTBool[T] {.inline, raises: [].} =
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func isMsbSet*[T: Ct](x: T): CTBool[T] =
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## Returns the most significant bit of an integer
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## Returns the most significant bit of an integer
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const msb_pos = T.sizeof * 8 - 1
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const msb_pos = T.sizeof * 8 - 1
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result = (CTBool[T])(x shr msb_pos)
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result = (CTBool[T])(x shr msb_pos)
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@ -112,7 +117,7 @@ func isMsbSet*[T: Ct](x: T): CTBool[T] {.inline, raises: [].} =
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template undistinct[T: Ct](x: CTBool[T]): T =
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template undistinct[T: Ct](x: CTBool[T]): T =
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T(x)
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T(x)
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func `not`*(ctl: CTBool): CTBool {.inline, raises: [].}=
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func `not`*(ctl: CTBool): CTBool =
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## Negate a constant-time boolean
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## Negate a constant-time boolean
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(type result)(ctl.undistinct xor (type ctl.undistinct)(1))
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(type result)(ctl.undistinct xor (type ctl.undistinct)(1))
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@ -131,22 +136,22 @@ template mux*[T: Ct](ctl: CTBool[T], x, y: T): T =
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# the alternative `(x and ctl) or (y and -ctl)`
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# the alternative `(x and ctl) or (y and -ctl)`
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# is optimized into a branch by Clang :/
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# is optimized into a branch by Clang :/
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func noteq[T: Ct](x, y: T): CTBool[T] {.inline, raises: [].}=
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func noteq[T: Ct](x, y: T): CTBool[T] =
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const msb = T.sizeof * 8 - 1
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const msb = T.sizeof * 8 - 1
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let z = x xor y
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let z = x xor y
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result = (type result)((z or -z) shr msb)
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result = (type result)((z or -z) shr msb)
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func `==`*[T: Ct](x, y: T): CTBool[T] {.inline, raises: [].}=
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func `==`*[T: Ct](x, y: T): CTBool[T] =
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not(noteq(x, y))
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not(noteq(x, y))
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func `<`*[T: Ct](x, y: T): CTBool[T] {.inline, raises: [].}=
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func `<`*[T: Ct](x, y: T): CTBool[T] =
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result = isMsbSet(
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result = isMsbSet(
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x xor (
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x xor (
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(x xor y) or ((x - y) xor y)
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(x xor y) or ((x - y) xor y)
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)
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)
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)
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)
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func `<=`*[T: Ct](x, y: T): CTBool[T] {.inline, raises: [].}=
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func `<=`*[T: Ct](x, y: T): CTBool[T] =
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not(y < x)
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not(y < x)
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# ############################################################
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# ############################################################
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#
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#
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# ############################################################
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# ############################################################
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func isNonZero*[T: Ct](x: T): CTBool[T] {.inline, raises: [].} =
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func isNonZero*[T: Ct](x: T): CTBool[T] =
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isMsbSet(x or -x)
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isMsbSet(x or -x)
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func isZero*[T: Ct](x: T): CTBool[T] {.inline, raises: [].} =
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func isZero*[T: Ct](x: T): CTBool[T] =
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not x.isNonZero
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not x.isNonZero
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# ############################################################
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# ############################################################
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