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\ No newline at end of file diff --git a/xen-dev-utils/classes/Fraction.html b/xen-dev-utils/classes/Fraction.html index 5c3dbe6..0a332f1 100644 --- a/xen-dev-utils/classes/Fraction.html +++ b/xen-dev-utils/classes/Fraction.html @@ -12,7 +12,7 @@

String form

new Fraction("123.456");  // a simple decimal
new Fraction("123/456"); // a string fraction
new Fraction("13e-3"); // scientific notation
-

Constructors

Constructors

Properties

Constructors

Properties

d: number

Denominator

-
n: number

Numerator

-
s: number

Sign: +1, 0 or -1

-

Methods

  • Calculates the absolute value.

    +

Constructors

Properties

d: number

Denominator

+
n: number

Numerator

+
s: number

Sign: +1, 0 or -1

+

Methods

Returns Fraction

Returns Fraction

\ No newline at end of file +

Returns number

\ No newline at end of file diff --git a/xen-dev-utils/classes/FractionSet.html b/xen-dev-utils/classes/FractionSet.html index 713907d..2f6b6f7 100644 --- a/xen-dev-utils/classes/FractionSet.html +++ b/xen-dev-utils/classes/FractionSet.html @@ -1,5 +1,5 @@ FractionSet | xen-dev-utils

Class FractionSet

Collection of unique fractions.

-

Hierarchy

Constructors

Hierarchy

Constructors

Properties

[toStringTag] size [species] @@ -17,14 +17,14 @@

Returns IterableIterator<Fraction>

  • Returns void

  • Removes the element associated to the value.

    +
  • Returns void

  • Removes the element associated to the value.

    Parameters

    Returns boolean

    A boolean asserting whether an element was successfully removed or not. FractionSet.prototype.has(value) will return false afterwards.

    -
  • Returns an iterable of [v,v] pairs for every value v in the set.

    +
  • Returns an iterable of [v,v] pairs for every value v in the set.

    Returns IterableIterator<[Fraction, Fraction]>

  • Executes a provided function once per each value in the Set object, in insertion order.

    Parameters

    • callbackfn: ((value, value2, set) => void)
    • Optional thisArg: any

    Returns void

  • Check value membership.

    Parameters

    • value: Fraction

      Value to check for membership.

    Returns boolean

    A boolean asserting whether an element is present with the given value in the FractionSet object or not.

    -
  • Despite its name, returns an iterable of the values in the set.

    +
  • Despite its name, returns an iterable of the values in the set.

    Returns IterableIterator<Fraction>

  • Returns an iterable of values in the set.

    Returns IterableIterator<Fraction>

\ No newline at end of file diff --git a/xen-dev-utils/functions/accumulate.html b/xen-dev-utils/functions/accumulate.html index b6c2772..82ff3b2 100644 --- a/xen-dev-utils/functions/accumulate.html +++ b/xen-dev-utils/functions/accumulate.html @@ -2,4 +2,4 @@

Parameters

Returns Monzo

The (modified) target monzo.

-
\ No newline at end of file +
\ No newline at end of file diff --git a/xen-dev-utils/functions/add.html b/xen-dev-utils/functions/add.html index 1445312..a8c48fd 100644 --- a/xen-dev-utils/functions/add.html +++ b/xen-dev-utils/functions/add.html @@ -2,4 +2,4 @@

Parameters

Returns Monzo

A monzo that represents the product of the two numbers represented by a and b.

-
\ No newline at end of file +
\ No newline at end of file diff --git a/xen-dev-utils/functions/applyWeights.html b/xen-dev-utils/functions/applyWeights.html index 66ab448..c4a69a8 100644 --- a/xen-dev-utils/functions/applyWeights.html +++ b/xen-dev-utils/functions/applyWeights.html @@ -2,4 +2,4 @@

Parameters

Returns number[]

The first monzo weighted by the second.

-
\ No newline at end of file +
\ No newline at end of file diff --git a/xen-dev-utils/functions/approximateOddLimit.html b/xen-dev-utils/functions/approximateOddLimit.html index 1ddf7d3..266f4a6 100644 --- a/xen-dev-utils/functions/approximateOddLimit.html +++ b/xen-dev-utils/functions/approximateOddLimit.html @@ -3,4 +3,4 @@

Parameters

Returns Fraction[]

All odd limit fractions within 600 cents of the input value sorted by closeness.

-
\ No newline at end of file +
\ No newline at end of file diff --git a/xen-dev-utils/functions/approximateOddLimitWithErrors.html b/xen-dev-utils/functions/approximateOddLimitWithErrors.html index 2e154bf..bbb0d4d 100644 --- a/xen-dev-utils/functions/approximateOddLimitWithErrors.html +++ b/xen-dev-utils/functions/approximateOddLimitWithErrors.html @@ -3,4 +3,4 @@

Parameters

Returns [Fraction, number][]

All odd limit fractions within 600 cents of the input value sorted by closeness with cent offsets attached.

-
\ No newline at end of file +
\ No newline at end of file diff --git a/xen-dev-utils/functions/approximatePrimeLimit.html b/xen-dev-utils/functions/approximatePrimeLimit.html index 8c1944e..d44fe1a 100644 --- a/xen-dev-utils/functions/approximatePrimeLimit.html +++ b/xen-dev-utils/functions/approximatePrimeLimit.html @@ -5,4 +5,4 @@
  • maxExponent: number
  • maxError: number = 600

    Maximum error from the interval for inclusion in the result.

  • maxLength: number = 100

    Maximum number of approximations to return.

  • Returns Fraction[]

    All valid fractions within maxError cents of the input value sorted by closenesss.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html b/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html index 8e50f5c..f8e58ac 100644 --- a/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html +++ b/xen-dev-utils/functions/approximatePrimeLimitWithErrors.html @@ -5,4 +5,4 @@
  • maxExponent: number
  • maxError: number = 600

    Maximum error from the interval for inclusion in the result.

  • maxLength: number = 100

    Maximum number of approximations to return.

  • Returns [Fraction, number][]

    All valid fractions within maxError cents of the input value sorted by closeness with cent offsets attached.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/approximateRadical.html b/xen-dev-utils/functions/approximateRadical.html index 7ba1840..e5f6cec 100644 --- a/xen-dev-utils/functions/approximateRadical.html +++ b/xen-dev-utils/functions/approximateRadical.html @@ -3,4 +3,4 @@
  • maxIndex: number = 5

    Maximum index of the radical. 2 means square root, 3 means cube root, etc.

  • maxHeight: number = 50000

    Maximum Benedetti height of the radicand in the approximation.

  • Returns {
        index: number;
        radicand: Fraction;
    }

    Object with index of the radical and the radicand. Result is "index'th root or radicand".

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/arraysEqual.html b/xen-dev-utils/functions/arraysEqual.html index a5f25d8..efe6d1b 100644 --- a/xen-dev-utils/functions/arraysEqual.html +++ b/xen-dev-utils/functions/arraysEqual.html @@ -2,4 +2,4 @@

    Parameters

    Returns boolean

    True if the arrays are component-wise equal.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/bigAbs.html b/xen-dev-utils/functions/bigAbs.html index 2cc707d..4dce09e 100644 --- a/xen-dev-utils/functions/bigAbs.html +++ b/xen-dev-utils/functions/bigAbs.html @@ -1,4 +1,4 @@ bigAbs | xen-dev-utils

    Function bigAbs

    • Calculate the absolute value of a BigInt.

      Parameters

      • n: bigint

        Integer to measure.

      Returns bigint

      Size of the integer as a BigInt.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/binomial.html b/xen-dev-utils/functions/binomial.html index 979e690..995429f 100644 --- a/xen-dev-utils/functions/binomial.html +++ b/xen-dev-utils/functions/binomial.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The number of ways to choose k (unordered) elements from a set size n.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/ceilPow2.html b/xen-dev-utils/functions/ceilPow2.html index bf99180..02cfaa4 100644 --- a/xen-dev-utils/functions/ceilPow2.html +++ b/xen-dev-utils/functions/ceilPow2.html @@ -1,4 +1,4 @@ ceilPow2 | xen-dev-utils

    Function ceilPow2

    • Calculate the smallest power of two greater or equal to the input value.

      Parameters

      • x: number

        Value to compare to.

      Returns number

      Smallest 2**n such that x <= 2**n.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/centOffsetToFrequency.html b/xen-dev-utils/functions/centOffsetToFrequency.html index a008f54..e05ed1e 100644 --- a/xen-dev-utils/functions/centOffsetToFrequency.html +++ b/xen-dev-utils/functions/centOffsetToFrequency.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    Musical frequency.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/centsToNats.html b/xen-dev-utils/functions/centsToNats.html index b370612..af49167 100644 --- a/xen-dev-utils/functions/centsToNats.html +++ b/xen-dev-utils/functions/centsToNats.html @@ -1,4 +1,4 @@ centsToNats | xen-dev-utils

    Function centsToNats

    • Convert cents to natural units.

      Parameters

      • cents: number

        Musical interval in cents.

      Returns number

      Musical interval in natural units.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/centsToValue.html b/xen-dev-utils/functions/centsToValue.html index 3b9273f..447c5a3 100644 --- a/xen-dev-utils/functions/centsToValue.html +++ b/xen-dev-utils/functions/centsToValue.html @@ -3,4 +3,4 @@

    Parameters

    Returns number

    Musical interval in multiplicative representation.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/circleDifference.html b/xen-dev-utils/functions/circleDifference.html index 68e1aae..bd8385b 100644 --- a/xen-dev-utils/functions/circleDifference.html +++ b/xen-dev-utils/functions/circleDifference.html @@ -3,4 +3,4 @@
  • b: number

    The second pitch measured in cents.

  • equaveCents: number = 1200.0

    The interval of equivalence measured in cents.

  • Returns number

    The first pitch minus the second pitch but on a circle such that large differences wrap around.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/circleDistance.html b/xen-dev-utils/functions/circleDistance.html index f7ffdda..f286bfa 100644 --- a/xen-dev-utils/functions/circleDistance.html +++ b/xen-dev-utils/functions/circleDistance.html @@ -3,4 +3,4 @@
  • b: number

    The second pitch measured in cents.

  • equaveCents: number = 1200.0

    The interval of equivalence measured in cents.

  • Returns number

    The absolute distance between the two pitches measured in cents but on a circle such that large distances wrap around.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/clamp.html b/xen-dev-utils/functions/clamp.html index 7db0f64..1ea1044 100644 --- a/xen-dev-utils/functions/clamp.html +++ b/xen-dev-utils/functions/clamp.html @@ -3,4 +3,4 @@
  • maxValue: number

    Upper bound.

  • value: number

    Value to clamp between bounds.

  • Returns number

    Clamped value.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/combinations.html b/xen-dev-utils/functions/combinations.html index 7026173..e162f77 100644 --- a/xen-dev-utils/functions/combinations.html +++ b/xen-dev-utils/functions/combinations.html @@ -4,4 +4,4 @@

    Type Parameters

    Parameters

    Returns T[][]

    Array of arrays representing all possible non-empty combinations of elements in a set.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/continuedFraction.html b/xen-dev-utils/functions/continuedFraction.html index 05339e8..7aa34a1 100644 --- a/xen-dev-utils/functions/continuedFraction.html +++ b/xen-dev-utils/functions/continuedFraction.html @@ -2,4 +2,4 @@ https://en.wikipedia.org/wiki/Continued_fraction

    Parameters

    Returns number[]

    An array of continued fraction elements.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/decumulate.html b/xen-dev-utils/functions/decumulate.html index 07ecc34..b0a0402 100644 --- a/xen-dev-utils/functions/decumulate.html +++ b/xen-dev-utils/functions/decumulate.html @@ -2,4 +2,4 @@

    Parameters

    Returns Monzo

    The (modified) target monzo.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/div.html b/xen-dev-utils/functions/div.html index fde5f06..573dc6d 100644 --- a/xen-dev-utils/functions/div.html +++ b/xen-dev-utils/functions/div.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The quotient of Euclidean division of a by b.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/dot.html b/xen-dev-utils/functions/dot.html index 0400336..37d0f03 100644 --- a/xen-dev-utils/functions/dot.html +++ b/xen-dev-utils/functions/dot.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The dot product.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/dotPrecise.html b/xen-dev-utils/functions/dotPrecise.html new file mode 100644 index 0000000..fb0a831 --- /dev/null +++ b/xen-dev-utils/functions/dotPrecise.html @@ -0,0 +1,6 @@ +dotPrecise | xen-dev-utils

    Function dotPrecise

    • Calculate the inner (dot) product of two arrays of real numbers. +The resulting terms are summed accurately using Shewchuk's algorithm.

      +

      Parameters

      Returns number

      The dot product.

      +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/extendedEuclid-1.html b/xen-dev-utils/functions/extendedEuclid-1.html index da1c76b..3cd7d6c 100644 --- a/xen-dev-utils/functions/extendedEuclid-1.html +++ b/xen-dev-utils/functions/extendedEuclid-1.html @@ -5,4 +5,4 @@

    Parameters

    Returns ExtendedEuclid

    Bézout coefficients, gcd and quotients.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/falsifyConstantStructure.html b/xen-dev-utils/functions/falsifyConstantStructure.html index e1aca05..b9bb48b 100644 --- a/xen-dev-utils/functions/falsifyConstantStructure.html +++ b/xen-dev-utils/functions/falsifyConstantStructure.html @@ -1,4 +1,4 @@ falsifyConstantStructure | xen-dev-utils

    Function falsifyConstantStructure

    • Determine if an equally tempered scale has constant structure i.e. you can tell the interval class from the size of an interval.

      Parameters

      • steps: number[]

        Musical intervals measured in steps not including the implicit 0 at the start, but including the interval of repetition at the end.

      Returns [[number, number], [number, number]] | null

      A pair of pairs of indices that have the same stepspan but different subtension. null if the scale has constant structure.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/fareyInterior.html b/xen-dev-utils/functions/fareyInterior.html index 4ab7033..766aee1 100644 --- a/xen-dev-utils/functions/fareyInterior.html +++ b/xen-dev-utils/functions/fareyInterior.html @@ -1,4 +1,4 @@ fareyInterior | xen-dev-utils

    Function fareyInterior

    • Create an iterator over the interior of n'th Farey sequence. (All fractions between 0 and 1 exclusive.)

      Parameters

      • maxDenominator: number

        Maximum denominator in the sequence.

      Returns Generator<Fraction, undefined, undefined>

      Yields

      Fractions in ascending order starting from 1/maxDenominator and ending at (maxDenominator-1)/maxDenominator.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/fareySequence.html b/xen-dev-utils/functions/fareySequence.html index ea1bade..c6acd13 100644 --- a/xen-dev-utils/functions/fareySequence.html +++ b/xen-dev-utils/functions/fareySequence.html @@ -1,4 +1,4 @@ fareySequence | xen-dev-utils

    Function fareySequence

    • Create an iterator over the n'th Farey sequence. (All fractions between 0 and 1 inclusive.)

      Parameters

      • maxDenominator: number

        Maximum denominator in the sequence.

      Returns Generator<Fraction, undefined, undefined>

      Yields

      Fractions in ascending order starting from 0/1 and ending at 1/1.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/frequencyToCentOffset.html b/xen-dev-utils/functions/frequencyToCentOffset.html index 7556354..7c92292 100644 --- a/xen-dev-utils/functions/frequencyToCentOffset.html +++ b/xen-dev-utils/functions/frequencyToCentOffset.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    Musical pitch in additive representation as a cents offset from reference.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/frequencyToMtsBytes.html b/xen-dev-utils/functions/frequencyToMtsBytes.html index ec21ebb..6663e57 100644 --- a/xen-dev-utils/functions/frequencyToMtsBytes.html +++ b/xen-dev-utils/functions/frequencyToMtsBytes.html @@ -1,4 +1,4 @@ frequencyToMtsBytes | xen-dev-utils

    Function frequencyToMtsBytes

    • Convert frequency to 3-byte MTS value

      Parameters

      • frequency: number

        Frequency in Hertz.

      Returns Uint8Array

      Uint8Array of length 3

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/ftom.html b/xen-dev-utils/functions/ftom.html index 3a38c4d..f5823b8 100644 --- a/xen-dev-utils/functions/ftom.html +++ b/xen-dev-utils/functions/ftom.html @@ -1,4 +1,4 @@ ftom | xen-dev-utils

    Function ftom

    • Convert frequency to MIDI note number and pitch offset measured in cents.

      Parameters

      • frequency: number

        Frequency in Hertz.

      Returns [number, number]

      [MIDI note number, pitch offset in cents]

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/ftomts.html b/xen-dev-utils/functions/ftomts.html index 260d194..ab060a9 100644 --- a/xen-dev-utils/functions/ftomts.html +++ b/xen-dev-utils/functions/ftomts.html @@ -1,4 +1,4 @@ ftomts | xen-dev-utils

    Function ftomts

    • Convert frequency to MTS number (semitones with A440=69).

      Parameters

      • frequency: number

        Frequency in Hertz.

      • ignoreLimit: boolean = false

      Returns number

      MTS value

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/gcd.html b/xen-dev-utils/functions/gcd.html index 1998b00..bfe6537 100644 --- a/xen-dev-utils/functions/gcd.html +++ b/xen-dev-utils/functions/gcd.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    The largest integer that divides a and b.

    -
  • Parameters

    Returns bigint

  • \ No newline at end of file +
  • Parameters

    Returns bigint

  • \ No newline at end of file diff --git a/xen-dev-utils/functions/getConvergents.html b/xen-dev-utils/functions/getConvergents.html index 1904c33..4e1575c 100644 --- a/xen-dev-utils/functions/getConvergents.html +++ b/xen-dev-utils/functions/getConvergents.html @@ -7,4 +7,4 @@
  • includeSemiconvergents: boolean = false

    Include semiconvergents.

  • includeNonMonotonic: boolean = false

    Include non-monotonically improving approximations.

  • Returns Fraction[]

    An array of (semi)convergents.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/hasMarginConstantStructure.html b/xen-dev-utils/functions/hasMarginConstantStructure.html index b56d9aa..2a35048 100644 --- a/xen-dev-utils/functions/hasMarginConstantStructure.html +++ b/xen-dev-utils/functions/hasMarginConstantStructure.html @@ -2,4 +2,4 @@

    Parameters

    Returns boolean

    true if the scale definitely has constant structure. (A false result may convert to true using a smaller margin.)

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/isPrime.html b/xen-dev-utils/functions/isPrime.html index cfc888a..3942a96 100644 --- a/xen-dev-utils/functions/isPrime.html +++ b/xen-dev-utils/functions/isPrime.html @@ -1,4 +1,4 @@ isPrime | xen-dev-utils

    Function isPrime

    • Check a number for primality.

      Parameters

      • n: number

        Number to check.

      Returns boolean

      True if the number is prime, false otherwise.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/iterCombinations.html b/xen-dev-utils/functions/iterCombinations.html index 7ceb55d..0ce8283 100644 --- a/xen-dev-utils/functions/iterCombinations.html +++ b/xen-dev-utils/functions/iterCombinations.html @@ -1,4 +1,4 @@ iterCombinations | xen-dev-utils

    Function iterCombinations

    • Get all possible combinations of elements in a set.

      Type Parameters

      • T

      Parameters

      • set: T[]

        Array of objects of any type. They are treated as unique.

      Returns Generator<T[], number, undefined>

      Generator of arrays representing all possible non-empty combinations of elements in a set.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/iterKCombinations.html b/xen-dev-utils/functions/iterKCombinations.html index b73d895..6833c43 100644 --- a/xen-dev-utils/functions/iterKCombinations.html +++ b/xen-dev-utils/functions/iterKCombinations.html @@ -2,4 +2,4 @@

    Type Parameters

    Parameters

    Returns Generator<T[], number, undefined>

    Generator of found combinations, size of a combination is k.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/iteratedEuclid.html b/xen-dev-utils/functions/iteratedEuclid.html index a6eb482..1c1f317 100644 --- a/xen-dev-utils/functions/iteratedEuclid.html +++ b/xen-dev-utils/functions/iteratedEuclid.html @@ -1,4 +1,4 @@ iteratedEuclid | xen-dev-utils

    Function iteratedEuclid

    • Iterated (extended) Euclidean algorithm.

      Parameters

      • params: Iterable<number>

        An iterable of integers.

      Returns number[]

      Bézout coefficients of the parameters.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/kCombinations.html b/xen-dev-utils/functions/kCombinations.html index 2cf8c98..92a0c46 100644 --- a/xen-dev-utils/functions/kCombinations.html +++ b/xen-dev-utils/functions/kCombinations.html @@ -5,4 +5,4 @@

    Type Parameters

    Parameters

    Returns T[][]

    Array of found non-empty combinations, size of a combination is k.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/lcm.html b/xen-dev-utils/functions/lcm.html index 7c10a08..4ce1af9 100644 --- a/xen-dev-utils/functions/lcm.html +++ b/xen-dev-utils/functions/lcm.html @@ -4,4 +4,4 @@

    Parameters

    Returns number

    The smallest integer that both a and b divide.

    -
  • Parameters

    Returns bigint

  • \ No newline at end of file +
  • Parameters

    Returns bigint

  • \ No newline at end of file diff --git a/xen-dev-utils/functions/mmod.html b/xen-dev-utils/functions/mmod.html index 2b7f7f3..a60de9b 100644 --- a/xen-dev-utils/functions/mmod.html +++ b/xen-dev-utils/functions/mmod.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The remainder of Euclidean division of a by b.

    -
  • Parameters

    Returns bigint

  • \ No newline at end of file +
  • Parameters

    Returns bigint

  • \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToBigInt.html b/xen-dev-utils/functions/monzoToBigInt.html index a00f128..bad0183 100644 --- a/xen-dev-utils/functions/monzoToBigInt.html +++ b/xen-dev-utils/functions/monzoToBigInt.html @@ -1,4 +1,4 @@ monzoToBigInt | xen-dev-utils

    Function monzoToBigInt

    • Convert a monzo to the BigInt it represents.

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

      Returns bigint

      BigInt representation of the monzo.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html b/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html new file mode 100644 index 0000000..337fa55 --- /dev/null +++ b/xen-dev-utils/functions/monzoToBigNumeratorDenominator.html @@ -0,0 +1,4 @@ +monzoToBigNumeratorDenominator | xen-dev-utils

    Function monzoToBigNumeratorDenominator

    • Convert a monzo to the BigInt fraction it represents.

      +

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

        +

      Returns {
          denominator: bigint;
          numerator: bigint;
      }

      Record with keys 'numerator' and 'denominator containing BigInts.

      +
      • denominator: bigint
      • numerator: bigint
    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToCents.html b/xen-dev-utils/functions/monzoToCents.html new file mode 100644 index 0000000..9626d09 --- /dev/null +++ b/xen-dev-utils/functions/monzoToCents.html @@ -0,0 +1,5 @@ +monzoToCents | xen-dev-utils

    Function monzoToCents

    • Measure the size of a monzo in cents. +Monzos representing small rational numbers (commas) are measured accurately.

      +

      Parameters

      • monzo: Monzo

        Array or prime exponents, possibly fractional.

        +

      Returns number

      The size of the represented number in cents (1200ths of an octave).

      +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzoToFraction.html b/xen-dev-utils/functions/monzoToFraction.html index 5f95654..8e71f6f 100644 --- a/xen-dev-utils/functions/monzoToFraction.html +++ b/xen-dev-utils/functions/monzoToFraction.html @@ -1,4 +1,4 @@ monzoToFraction | xen-dev-utils

    Function monzoToFraction

    • Convert a monzo to the fraction it represents.

      Parameters

      • monzo: Iterable<number>

        Iterable of prime exponents.

      Returns Fraction

      Fractional representation of the monzo.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/monzosEqual.html b/xen-dev-utils/functions/monzosEqual.html index a520e41..cf67825 100644 --- a/xen-dev-utils/functions/monzosEqual.html +++ b/xen-dev-utils/functions/monzosEqual.html @@ -2,4 +2,4 @@

    Parameters

    Returns boolean

    true if the two values are equal when interpreted as fractions.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtof.html b/xen-dev-utils/functions/mtof.html index 49cc169..a4bceb1 100644 --- a/xen-dev-utils/functions/mtof.html +++ b/xen-dev-utils/functions/mtof.html @@ -1,4 +1,4 @@ mtof | xen-dev-utils

    Function mtof

    • Convert MIDI note number to frequency.

      Parameters

      • index: number

        MIDI note number or MTS value.

      Returns number

      Frequency in Hertz.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToFrequency.html b/xen-dev-utils/functions/mtsBytesToFrequency.html index 450fbea..c87a12d 100644 --- a/xen-dev-utils/functions/mtsBytesToFrequency.html +++ b/xen-dev-utils/functions/mtsBytesToFrequency.html @@ -1,4 +1,4 @@ mtsBytesToFrequency | xen-dev-utils

    Function mtsBytesToFrequency

    • Convert 3-byte MTS value to frequency

      Parameters

      • mtsBytes: Uint8Array

        Uint8Array of 3-bytes of 7-bit MTS values

      Returns number

      frequency Frequency in Hertz

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToHex.html b/xen-dev-utils/functions/mtsBytesToHex.html index 2d6c415..0705b2e 100644 --- a/xen-dev-utils/functions/mtsBytesToHex.html +++ b/xen-dev-utils/functions/mtsBytesToHex.html @@ -2,4 +2,4 @@

    Parameters

    Returns String

    String representation of MTS value in hexadecimal can be used in MIDI messages

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsBytesToMts.html b/xen-dev-utils/functions/mtsBytesToMts.html index 0aea5e1..d62e588 100644 --- a/xen-dev-utils/functions/mtsBytesToMts.html +++ b/xen-dev-utils/functions/mtsBytesToMts.html @@ -1,4 +1,4 @@ mtsBytesToMts | xen-dev-utils

    Function mtsBytesToMts

    • Convert 3-byte MTS value to frequency

      Parameters

      • mtsBytes: Uint8Array

        Uint8Array of 3-bytes of 7-bit MTS values

      Returns number

      frequency Frequency in Hertz

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/mtsToMtsBytes.html b/xen-dev-utils/functions/mtsToMtsBytes.html index 6343309..4cb14cf 100644 --- a/xen-dev-utils/functions/mtsToMtsBytes.html +++ b/xen-dev-utils/functions/mtsToMtsBytes.html @@ -1,4 +1,4 @@ mtsToMtsBytes | xen-dev-utils

    Function mtsToMtsBytes

    • Convert MTS pitch value to 3-byte representation

      Parameters

      • mtsValue: number

        MTS pitch value

      Returns Uint8Array

      Uint8Array 3-byte of 7-bit MTS data

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/natsToCents.html b/xen-dev-utils/functions/natsToCents.html index 59047ec..b8b2b0d 100644 --- a/xen-dev-utils/functions/natsToCents.html +++ b/xen-dev-utils/functions/natsToCents.html @@ -1,4 +1,4 @@ natsToCents | xen-dev-utils

    Function natsToCents

    • Convert natural units to cents.

      Parameters

      • nats: number

        Musical interval in natural units.

      Returns number

      Musical interval in cents.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/natsToSemitones.html b/xen-dev-utils/functions/natsToSemitones.html index e663816..2279f14 100644 --- a/xen-dev-utils/functions/natsToSemitones.html +++ b/xen-dev-utils/functions/natsToSemitones.html @@ -1,4 +1,4 @@ natsToSemitones | xen-dev-utils

    Function natsToSemitones

    • Convert natural units to cents.

      Parameters

      • nats: number

        Musical interval in natural units.

      Returns number

      Musical interval in semitones.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/norm.html b/xen-dev-utils/functions/norm.html index ce151c7..e46c904 100644 --- a/xen-dev-utils/functions/norm.html +++ b/xen-dev-utils/functions/norm.html @@ -2,4 +2,4 @@

    Parameters

    Returns number

    The length of the vector.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/primeLimit.html b/xen-dev-utils/functions/primeLimit.html index a0f0b94..24e053f 100644 --- a/xen-dev-utils/functions/primeLimit.html +++ b/xen-dev-utils/functions/primeLimit.html @@ -3,4 +3,4 @@
  • asOrdinal: boolean = false

    Return the limit as an ordinal instead of a prime. (1 is #0, 2 is #1, 3 is #2, 5 is #3, etc.)

  • maxLimit: number = 7919

    Maximum prime limit to consider.

  • Returns number

    The largest prime in the factorization of the input. Infinity if above the maximum limit. NaN if not applicable.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/primes-1.html b/xen-dev-utils/functions/primes-1.html index a51c625..9c7ed4e 100644 --- a/xen-dev-utils/functions/primes-1.html +++ b/xen-dev-utils/functions/primes-1.html @@ -2,4 +2,4 @@

    Parameters

    Returns number[]

    An array of primes p in ascending order such that start <= p <= end.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/rescale.html b/xen-dev-utils/functions/rescale.html index 35fca60..752f430 100644 --- a/xen-dev-utils/functions/rescale.html +++ b/xen-dev-utils/functions/rescale.html @@ -2,4 +2,4 @@

    Parameters

    Returns Monzo

    The (modified) target monzo.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/scale.html b/xen-dev-utils/functions/scale.html index aad5930..1b64352 100644 --- a/xen-dev-utils/functions/scale.html +++ b/xen-dev-utils/functions/scale.html @@ -2,4 +2,4 @@

    Parameters

    Returns number[]

    The scalar multiple.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/semitonesToNats.html b/xen-dev-utils/functions/semitonesToNats.html index 622cd9b..dacda39 100644 --- a/xen-dev-utils/functions/semitonesToNats.html +++ b/xen-dev-utils/functions/semitonesToNats.html @@ -1,4 +1,4 @@ semitonesToNats | xen-dev-utils

    Function semitonesToNats

    • Convert semitones to natural units.

      Parameters

      • semitones: number

        Musical interval in semitones.

      Returns number

      Musical interval in natural units.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/sub.html b/xen-dev-utils/functions/sub.html index f3f2c90..c3bf3f0 100644 --- a/xen-dev-utils/functions/sub.html +++ b/xen-dev-utils/functions/sub.html @@ -2,4 +2,4 @@

    Parameters

    Returns Monzo

    A monzo that represents the division of the two numbers represented by a and b.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/sum.html b/xen-dev-utils/functions/sum.html new file mode 100644 index 0000000..1a32085 --- /dev/null +++ b/xen-dev-utils/functions/sum.html @@ -0,0 +1,4 @@ +sum | xen-dev-utils

    Function sum

    • Accurately add up elements from an iterable using Shewchuk's algorithm.

      +

      Parameters

      • iterable: Iterable<number>

        Numbers to sum together.

        +

      Returns number

      The sum of the elements.

      +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/toMonzo.html b/xen-dev-utils/functions/toMonzo.html index daec170..0a1a6ac 100644 --- a/xen-dev-utils/functions/toMonzo.html +++ b/xen-dev-utils/functions/toMonzo.html @@ -1,4 +1,4 @@ toMonzo | xen-dev-utils

    Function toMonzo

    • Extract the exponents of the prime factors of a rational number.

      Parameters

      Returns Monzo

      The monzo representing n.

      -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/functions/toMonzoAndResidual.html b/xen-dev-utils/functions/toMonzoAndResidual.html index 5753eee..9571ec7 100644 --- a/xen-dev-utils/functions/toMonzoAndResidual.html +++ b/xen-dev-utils/functions/toMonzoAndResidual.html @@ -2,4 +2,4 @@

    Parameters

    Returns [Monzo, bigint]

    The monzo representing n and a multiplicative residue that cannot be represented in the given limit.

    -
  • Parameters

    Returns [Monzo, Fraction]

  • \ No newline at end of file +
  • Parameters

    Returns [Monzo, Fraction]

  • \ No newline at end of file diff --git a/xen-dev-utils/functions/valueToCents.html b/xen-dev-utils/functions/valueToCents.html index 9f8a005..7c6a8e3 100644 --- a/xen-dev-utils/functions/valueToCents.html +++ b/xen-dev-utils/functions/valueToCents.html @@ -3,4 +3,4 @@

    Parameters

    Returns number

    Musical interval in additive representation measured in cents.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/interfaces/AnyArray.html b/xen-dev-utils/interfaces/AnyArray.html index 480f69b..b398bb3 100644 --- a/xen-dev-utils/interfaces/AnyArray.html +++ b/xen-dev-utils/interfaces/AnyArray.html @@ -1,2 +1,2 @@ -AnyArray | xen-dev-utils

    Interface AnyArray

    interface AnyArray {
        length: number;
        [key: number]: any;
    }

    Indexable

    [key: number]: any

    Properties

    Properties

    length: number
    \ No newline at end of file +AnyArray | xen-dev-utils

    Interface AnyArray

    interface AnyArray {
        length: number;
        [key: number]: any;
    }

    Indexable

    [key: number]: any

    Properties

    Properties

    length: number
    \ No newline at end of file diff --git a/xen-dev-utils/interfaces/NumberArray.html b/xen-dev-utils/interfaces/NumberArray.html index 7814df3..676a313 100644 --- a/xen-dev-utils/interfaces/NumberArray.html +++ b/xen-dev-utils/interfaces/NumberArray.html @@ -1,2 +1,2 @@ -NumberArray | xen-dev-utils

    Interface NumberArray

    interface NumberArray {
        length: number;
        [key: number]: number;
    }

    Indexable

    [key: number]: number

    Properties

    Properties

    length: number
    \ No newline at end of file +NumberArray | xen-dev-utils

    Interface NumberArray

    interface NumberArray {
        length: number;
        [key: number]: number;
    }

    Indexable

    [key: number]: number

    Properties

    Properties

    length: number
    \ No newline at end of file diff --git a/xen-dev-utils/modules.html b/xen-dev-utils/modules.html index 3ba2eb7..3f7c1f4 100644 --- a/xen-dev-utils/modules.html +++ b/xen-dev-utils/modules.html @@ -33,6 +33,7 @@ decumulate div dot +dotPrecise extendedEuclid falsifyConstantStructure fareyInterior @@ -52,6 +53,8 @@ lcm mmod monzoToBigInt +monzoToBigNumeratorDenominator +monzoToCents monzoToFraction monzosEqual mtof @@ -68,6 +71,7 @@ scale semitonesToNats sub +sum toMonzo toMonzoAndResidual valueToCents diff --git a/xen-dev-utils/types/ExtendedEuclid.html b/xen-dev-utils/types/ExtendedEuclid.html index 726a2de..4135660 100644 --- a/xen-dev-utils/types/ExtendedEuclid.html +++ b/xen-dev-utils/types/ExtendedEuclid.html @@ -4,4 +4,4 @@
  • gcd: number

    Greatest common divisor of the parameters.

  • quotientA: number

    Quotient of the first parameter when divided by the gcd

  • quotientB: number

    Quotient of the second parameter when divided by the gcd

    -
  • \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/types/FractionValue.html b/xen-dev-utils/types/FractionValue.html index 991e013..1ef3322 100644 --- a/xen-dev-utils/types/FractionValue.html +++ b/xen-dev-utils/types/FractionValue.html @@ -1 +1 @@ -FractionValue | xen-dev-utils

    Type alias FractionValue

    FractionValue: Fraction | UnsignedFraction | number | string
    \ No newline at end of file +FractionValue | xen-dev-utils

    Type alias FractionValue

    FractionValue: Fraction | UnsignedFraction | number | string
    \ No newline at end of file diff --git a/xen-dev-utils/types/Monzo.html b/xen-dev-utils/types/Monzo.html index 67833ae..b510859 100644 --- a/xen-dev-utils/types/Monzo.html +++ b/xen-dev-utils/types/Monzo.html @@ -1,2 +1,2 @@ Monzo | xen-dev-utils

    Type alias Monzo

    Monzo: number[]

    Array of integers representing the exponents of prime numbers in the unique factorization of a rational number.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/types/UnsignedFraction.html b/xen-dev-utils/types/UnsignedFraction.html index 4c5ae9b..a8342b5 100644 --- a/xen-dev-utils/types/UnsignedFraction.html +++ b/xen-dev-utils/types/UnsignedFraction.html @@ -1 +1 @@ -UnsignedFraction | xen-dev-utils

    Type alias UnsignedFraction

    UnsignedFraction: {
        d: number;
        n: number;
    }

    Type declaration

    • d: number
    • n: number
    \ No newline at end of file +UnsignedFraction | xen-dev-utils

    Type alias UnsignedFraction

    UnsignedFraction: {
        d: number;
        n: number;
    }

    Type declaration

    • d: number
    • n: number
    \ No newline at end of file diff --git a/xen-dev-utils/variables/BIG_INT_PRIMES.html b/xen-dev-utils/variables/BIG_INT_PRIMES.html index ad1742e..8788b52 100644 --- a/xen-dev-utils/variables/BIG_INT_PRIMES.html +++ b/xen-dev-utils/variables/BIG_INT_PRIMES.html @@ -1,2 +1,2 @@ BIG_INT_PRIMES | xen-dev-utils

    Variable BIG_INT_PRIMESConst

    BIG_INT_PRIMES: bigint[] = ...

    BigInt representation of the primes.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/variables/LOG_PRIMES.html b/xen-dev-utils/variables/LOG_PRIMES.html index 052cc69..bb83549 100644 --- a/xen-dev-utils/variables/LOG_PRIMES.html +++ b/xen-dev-utils/variables/LOG_PRIMES.html @@ -1,2 +1,2 @@ LOG_PRIMES | xen-dev-utils

    Variable LOG_PRIMESConst

    LOG_PRIMES: number[] = ...

    Logarithms of prime numbers up to ln(7919).

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/variables/PRIMES.html b/xen-dev-utils/variables/PRIMES.html index cd50837..315496d 100644 --- a/xen-dev-utils/variables/PRIMES.html +++ b/xen-dev-utils/variables/PRIMES.html @@ -1,2 +1,2 @@ PRIMES | xen-dev-utils

    Variable PRIMESConst

    PRIMES: number[] = ...

    Prime numbers up to 7919.

    -
    \ No newline at end of file +
    \ No newline at end of file diff --git a/xen-dev-utils/variables/PRIME_CENTS.html b/xen-dev-utils/variables/PRIME_CENTS.html index bf77fcc..028c5ce 100644 --- a/xen-dev-utils/variables/PRIME_CENTS.html +++ b/xen-dev-utils/variables/PRIME_CENTS.html @@ -1,2 +1,2 @@ PRIME_CENTS | xen-dev-utils

    Variable PRIME_CENTSConst

    PRIME_CENTS: number[] = ...

    Prime number harmonics in additive representation measured in cents up to harmonic 7919 ≈ 15541.3 cents.

    -
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