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fix math.frexp function signature (#16725)
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@@ -113,10 +113,9 @@ with other backends. see #9125. Use `-d:nimLegacyJsRound` for previous behavior.
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- Added `sugar.dumpToString` which improves on `sugar.dump`.
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- Added `math.signbit`.
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- Removed the optional `longestMatch` parameter of the `critbits._WithPrefix` iterators (it never worked reliably)
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- In `lists`: renamed `append` to `add` and retained `append` as an alias;
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added `prepend` and `prependMoved` analogously to `add` and `addMoved`;
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@@ -147,6 +146,8 @@ provided by the operating system.
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issues like https://github.com/nim-lang/Nim/issues/13063 (which affected error messages)
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for modules importing `std/wrapnils`.
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- Added `math.frexp` overload procs. Deprecated `c_frexp`, use `frexp` instead.
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- `parseopt.initOptParser` has been made available and `parseopt` has been
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added back to `prelude` for all backends. Previously `initOptParser` was
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unavailable if the `os` module did not have `paramCount` or `paramStr`,
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@@ -69,6 +69,17 @@ when defined(c) or defined(cpp):
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proc c_signbit(x: SomeFloat): cint {.importc: "signbit", header: "<math.h>".}
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func c_frexp*(x: cfloat, exponent: var cint): cfloat {.
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importc: "frexpf", header: "<math.h>", deprecated: "Use `frexp` instead".}
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func c_frexp*(x: cdouble, exponent: var cint): cdouble {.
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importc: "frexp", header: "<math.h>", deprecated: "Use `frexp` instead".}
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# don't export `c_frexp` in the future and remove `c_frexp2`.
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func c_frexp2(x: cfloat, exponent: var cint): cfloat {.
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importc: "frexpf", header: "<math.h>".}
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func c_frexp2(x: cdouble, exponent: var cint): cdouble {.
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importc: "frexp", header: "<math.h>".}
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func binom*(n, k: int): int =
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## Computes the [binomial coefficient](https://en.wikipedia.org/wiki/Binomial_coefficient).
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runnableExamples:
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@@ -915,27 +926,49 @@ func euclMod*[T: SomeNumber](x, y: T): T {.since: (1, 5, 1).} =
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if result < 0:
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result += abs(y)
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func frexp*[T: float32|float64](x: T): tuple[frac: T, exp: int] {.inline.} =
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## Splits `x` into a normalized fraction `frac` and an integral power of 2 `exp`,
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## such that `abs(frac) in 0.5..<1` and `x == frac * 2 ^ exp`, except for special
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## cases shown below.
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runnableExamples:
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doAssert frexp(8.0) == (0.5, 4)
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doAssert frexp(-8.0) == (-0.5, 4)
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doAssert frexp(0.0) == (0.0, 0)
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# special cases:
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when not defined(windows):
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doAssert frexp(-0.0) == (-0.0, 0) # signbit preserved for +-0
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doAssert frexp(Inf).frac == Inf # +- Inf preserved
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doAssert frexp(NaN).frac.isNaN
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when not defined(js):
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var exp: cint
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result.frac = c_frexp2(x, exp)
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result.exp = exp
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else:
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if x == 0.0:
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result = (0.0, 0)
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elif x < 0.0:
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result = frexp(-x)
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result.frac = -result.frac
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else:
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var ex = trunc(log2(x))
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result.exp = int(ex)
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result.frac = x / pow(2.0, ex)
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if abs(result.frac) >= 1:
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inc(result.exp)
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result.frac = result.frac / 2
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if result.exp == 1024 and result.frac == 0.0:
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result.frac = 0.99999999999999988898
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func frexp*[T: float32|float64](x: T, exponent: var int): T {.inline.} =
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## Overload of `frexp` that calls `(result, exponent) = frexp(x)`.
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runnableExamples:
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var x: int
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doAssert frexp(5.0, x) == 0.625
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doAssert x == 3
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(result, exponent) = frexp(x)
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when not defined(js):
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func c_frexp*(x: float32, exponent: var int32): float32 {.
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importc: "frexp", header: "<math.h>".}
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func c_frexp*(x: float64, exponent: var int32): float64 {.
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importc: "frexp", header: "<math.h>".}
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func frexp*[T, U](x: T, exponent: var U): T =
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## Split a number into mantissa and exponent.
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##
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## `frexp` calculates the mantissa `m` (a float greater than or equal to 0.5
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## and less than 1) and the integer value `n` such that `x` (the original
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## float value) equals `m * 2**n`. frexp stores `n` in `exponent` and returns
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## `m`.
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runnableExamples:
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var x: int
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doAssert frexp(5.0, x) == 0.625
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doAssert x == 3
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var exp: int32
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result = c_frexp(x, exp)
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exponent = exp
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when windowsCC89:
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# taken from Go-lang Math.Log2
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const ln2 = 0.693147180559945309417232121458176568075500134360255254120680009
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@@ -967,23 +1000,6 @@ when not defined(js):
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doAssert almostEqual(log2(0.0), -Inf)
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doAssert log2(-2.0).isNaN
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else:
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func frexp*[T: float32|float64](x: T, exponent: var int): T =
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if x == 0.0:
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exponent = 0
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result = 0.0
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elif x < 0.0:
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result = -frexp(-x, exponent)
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else:
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var ex = trunc(log2(x))
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exponent = int(ex)
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result = x / pow(2.0, ex)
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if abs(result) >= 1:
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inc(exponent)
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result = result / 2
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if exponent == 1024 and result == 0.0:
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result = 0.99999999999999988898
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func splitDecimal*[T: float32|float64](x: T): tuple[intpart: T, floatpart: T] =
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## Breaks `x` into an integer and a fractional part.
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##
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@@ -1,9 +1,8 @@
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discard """
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targets: "js c cpp"
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output: '''ok'''
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"""
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import math
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import std/math
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const manualTest = false
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@@ -43,4 +42,12 @@ when manualTest:
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else:
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frexp_test(-200000.0, 200000.0, 0.125)
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echo "ok"
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doAssert frexp(8.0) == (0.5, 4)
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doAssert frexp(-8.0) == (-0.5, 4)
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doAssert frexp(0.0) == (0.0, 0)
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block:
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var x: int
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doAssert frexp(5.0, x) == 0.625
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doAssert x == 3
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