math: add available godoc link

Change-Id: I4a6c2ef6fd21355952ab7d8eaad883646a95d364
Reviewed-on: https://go-review.googlesource.com/c/go/+/535087
Reviewed-by: Ian Lance Taylor <iant@google.com>
Auto-Submit: Ian Lance Taylor <iant@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Than McIntosh <thanm@google.com>
This commit is contained in:
cui fliter 2023-10-14 21:09:16 +08:00 committed by Gopher Robot
parent bb53047f54
commit d57303e65f
24 changed files with 147 additions and 147 deletions

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@ -10,7 +10,7 @@ The following numeric types are supported:
Rat rational numbers Rat rational numbers
Float floating-point numbers Float floating-point numbers
The zero value for an Int, Rat, or Float correspond to 0. Thus, new The zero value for an [Int], [Rat], or [Float] correspond to 0. Thus, new
values can be declared in the usual ways and denote 0 without further values can be declared in the usual ways and denote 0 without further
initialization: initialization:
@ -23,9 +23,9 @@ functions of the form:
func NewT(v V) *T func NewT(v V) *T
For instance, NewInt(x) returns an *Int set to the value of the int64 For instance, [NewInt](x) returns an *[Int] set to the value of the int64
argument x, NewRat(a, b) returns a *Rat set to the fraction a/b where argument x, [NewRat](a, b) returns a *[Rat] set to the fraction a/b where
a and b are int64 values, and NewFloat(f) returns a *Float initialized a and b are int64 values, and [NewFloat](f) returns a *[Float] initialized
to the float64 argument f. More flexibility is provided with explicit to the float64 argument f. More flexibility is provided with explicit
setters, for instance: setters, for instance:
@ -42,7 +42,7 @@ the form:
func (z *T) Binary(x, y *T) *T // z = x binary y func (z *T) Binary(x, y *T) *T // z = x binary y
func (x *T) Pred() P // p = pred(x) func (x *T) Pred() P // p = pred(x)
with T one of Int, Rat, or Float. For unary and binary operations, the with T one of [Int], [Rat], or [Float]. For unary and binary operations, the
result is the receiver (usually named z in that case; see below); if it result is the receiver (usually named z in that case; see below); if it
is one of the operands x or y it may be safely overwritten (and its memory is one of the operands x or y it may be safely overwritten (and its memory
reused). reused).
@ -81,18 +81,18 @@ Methods of this form typically return the incoming receiver as well, to
enable simple call chaining. enable simple call chaining.
Methods which don't require a result value to be passed in (for instance, Methods which don't require a result value to be passed in (for instance,
Int.Sign), simply return the result. In this case, the receiver is typically [Int.Sign]), simply return the result. In this case, the receiver is typically
the first operand, named x: the first operand, named x:
func (x *Int) Sign() int func (x *Int) Sign() int
Various methods support conversions between strings and corresponding Various methods support conversions between strings and corresponding
numeric values, and vice versa: *Int, *Rat, and *Float values implement numeric values, and vice versa: *[Int], *[Rat], and *[Float] values implement
the Stringer interface for a (default) string representation of the value, the Stringer interface for a (default) string representation of the value,
but also provide SetString methods to initialize a value from a string in but also provide SetString methods to initialize a value from a string in
a variety of supported formats (see the respective SetString documentation). a variety of supported formats (see the respective SetString documentation).
Finally, *Int, *Rat, and *Float satisfy [fmt.Scanner] for scanning Finally, *[Int], *[Rat], and *[Float] satisfy [fmt.Scanner] for scanning
and (except for *Rat) the Formatter interface for formatted printing. and (except for *[Rat]) the Formatter interface for formatted printing.
*/ */
package big package big

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@ -36,7 +36,7 @@ const debugFloat = false // enable for debugging
// //
// Unless specified otherwise, all operations (including setters) that // Unless specified otherwise, all operations (including setters) that
// specify a *Float variable for the result (usually via the receiver // specify a *Float variable for the result (usually via the receiver
// with the exception of MantExp), round the numeric result according // with the exception of [Float.MantExp]), round the numeric result according
// to the precision and rounding mode of the result variable. // to the precision and rounding mode of the result variable.
// //
// If the provided result precision is 0 (see below), it is set to the // If the provided result precision is 0 (see below), it is set to the
@ -47,20 +47,20 @@ const debugFloat = false // enable for debugging
// their mode is the zero value for RoundingMode (ToNearestEven). // their mode is the zero value for RoundingMode (ToNearestEven).
// //
// By setting the desired precision to 24 or 53 and using matching rounding // By setting the desired precision to 24 or 53 and using matching rounding
// mode (typically ToNearestEven), Float operations produce the same results // mode (typically [ToNearestEven]), Float operations produce the same results
// as the corresponding float32 or float64 IEEE-754 arithmetic for operands // as the corresponding float32 or float64 IEEE-754 arithmetic for operands
// that correspond to normal (i.e., not denormal) float32 or float64 numbers. // that correspond to normal (i.e., not denormal) float32 or float64 numbers.
// Exponent underflow and overflow lead to a 0 or an Infinity for different // Exponent underflow and overflow lead to a 0 or an Infinity for different
// values than IEEE-754 because Float exponents have a much larger range. // values than IEEE-754 because Float exponents have a much larger range.
// //
// The zero (uninitialized) value for a Float is ready to use and represents // The zero (uninitialized) value for a Float is ready to use and represents
// the number +0.0 exactly, with precision 0 and rounding mode ToNearestEven. // the number +0.0 exactly, with precision 0 and rounding mode [ToNearestEven].
// //
// Operations always take pointer arguments (*Float) rather // Operations always take pointer arguments (*Float) rather
// than Float values, and each unique Float value requires // than Float values, and each unique Float value requires
// its own unique *Float pointer. To "copy" a Float value, // its own unique *Float pointer. To "copy" a Float value,
// an existing (or newly allocated) Float must be set to // an existing (or newly allocated) Float must be set to
// a new value using the Float.Set method; shallow copies // a new value using the [Float.Set] method; shallow copies
// of Floats are not supported and may lead to errors. // of Floats are not supported and may lead to errors.
type Float struct { type Float struct {
prec uint32 prec uint32
@ -72,7 +72,7 @@ type Float struct {
exp int32 exp int32
} }
// An ErrNaN panic is raised by a Float operation that would lead to // An ErrNaN panic is raised by a [Float] operation that would lead to
// a NaN under IEEE-754 rules. An ErrNaN implements the error interface. // a NaN under IEEE-754 rules. An ErrNaN implements the error interface.
type ErrNaN struct { type ErrNaN struct {
msg string msg string
@ -82,9 +82,9 @@ func (err ErrNaN) Error() string {
return err.msg return err.msg
} }
// NewFloat allocates and returns a new Float set to x, // NewFloat allocates and returns a new [Float] set to x,
// with precision 53 and rounding mode ToNearestEven. // with precision 53 and rounding mode [ToNearestEven].
// NewFloat panics with ErrNaN if x is a NaN. // NewFloat panics with [ErrNaN] if x is a NaN.
func NewFloat(x float64) *Float { func NewFloat(x float64) *Float {
if math.IsNaN(x) { if math.IsNaN(x) {
panic(ErrNaN{"NewFloat(NaN)"}) panic(ErrNaN{"NewFloat(NaN)"})
@ -126,9 +126,9 @@ const (
inf inf
) )
// RoundingMode determines how a Float value is rounded to the // RoundingMode determines how a [Float] value is rounded to the
// desired precision. Rounding may change the Float value; the // desired precision. Rounding may change the [Float] value; the
// rounding error is described by the Float's Accuracy. // rounding error is described by the [Float]'s [Accuracy].
type RoundingMode byte type RoundingMode byte
// These constants define supported rounding modes. // These constants define supported rounding modes.
@ -144,10 +144,10 @@ const (
//go:generate stringer -type=RoundingMode //go:generate stringer -type=RoundingMode
// Accuracy describes the rounding error produced by the most recent // Accuracy describes the rounding error produced by the most recent
// operation that generated a Float value, relative to the exact value. // operation that generated a [Float] value, relative to the exact value.
type Accuracy int8 type Accuracy int8
// Constants describing the Accuracy of a Float. // Constants describing the [Accuracy] of a [Float].
const ( const (
Below Accuracy = -1 Below Accuracy = -1
Exact Accuracy = 0 Exact Accuracy = 0
@ -160,7 +160,7 @@ const (
// value of z. Rounding occurs according to z's rounding mode if the mantissa // value of z. Rounding occurs according to z's rounding mode if the mantissa
// cannot be represented in prec bits without loss of precision. // cannot be represented in prec bits without loss of precision.
// SetPrec(0) maps all finite values to ±0; infinite values remain unchanged. // SetPrec(0) maps all finite values to ±0; infinite values remain unchanged.
// If prec > MaxPrec, it is set to MaxPrec. // If prec > [MaxPrec], it is set to [MaxPrec].
func (z *Float) SetPrec(prec uint) *Float { func (z *Float) SetPrec(prec uint) *Float {
z.acc = Exact // optimistically assume no rounding is needed z.acc = Exact // optimistically assume no rounding is needed
@ -196,7 +196,7 @@ func makeAcc(above bool) Accuracy {
// SetMode sets z's rounding mode to mode and returns an exact z. // SetMode sets z's rounding mode to mode and returns an exact z.
// z remains unchanged otherwise. // z remains unchanged otherwise.
// z.SetMode(z.Mode()) is a cheap way to set z's accuracy to Exact. // z.SetMode(z.Mode()) is a cheap way to set z's accuracy to [Exact].
func (z *Float) SetMode(mode RoundingMode) *Float { func (z *Float) SetMode(mode RoundingMode) *Float {
z.mode = mode z.mode = mode
z.acc = Exact z.acc = Exact
@ -302,9 +302,9 @@ func (z *Float) setExpAndRound(exp int64, sbit uint) {
// SetMantExp sets z to mant × 2**exp and returns z. // SetMantExp sets z to mant × 2**exp and returns z.
// The result z has the same precision and rounding mode // The result z has the same precision and rounding mode
// as mant. SetMantExp is an inverse of MantExp but does // as mant. SetMantExp is an inverse of [Float.MantExp] but does
// not require 0.5 <= |mant| < 1.0. Specifically, for a // not require 0.5 <= |mant| < 1.0. Specifically, for a
// given x of type *Float, SetMantExp relates to MantExp // given x of type *[Float], SetMantExp relates to [Float.MantExp]
// as follows: // as follows:
// //
// mant := new(Float) // mant := new(Float)
@ -548,7 +548,7 @@ func (z *Float) SetInt64(x int64) *Float {
// SetFloat64 sets z to the (possibly rounded) value of x and returns z. // SetFloat64 sets z to the (possibly rounded) value of x and returns z.
// If z's precision is 0, it is changed to 53 (and rounding will have // If z's precision is 0, it is changed to 53 (and rounding will have
// no effect). SetFloat64 panics with ErrNaN if x is a NaN. // no effect). SetFloat64 panics with [ErrNaN] if x is a NaN.
func (z *Float) SetFloat64(x float64) *Float { func (z *Float) SetFloat64(x float64) *Float {
if z.prec == 0 { if z.prec == 0 {
z.prec = 53 z.prec = 53
@ -637,7 +637,7 @@ func (z *Float) SetRat(x *Rat) *Float {
// SetInf sets z to the infinite Float -Inf if signbit is // SetInf sets z to the infinite Float -Inf if signbit is
// set, or +Inf if signbit is not set, and returns z. The // set, or +Inf if signbit is not set, and returns z. The
// precision of z is unchanged and the result is always // precision of z is unchanged and the result is always
// Exact. // [Exact].
func (z *Float) SetInf(signbit bool) *Float { func (z *Float) SetInf(signbit bool) *Float {
z.acc = Exact z.acc = Exact
z.form = inf z.form = inf
@ -734,10 +734,10 @@ func msb64(x nat) uint64 {
} }
// Uint64 returns the unsigned integer resulting from truncating x // Uint64 returns the unsigned integer resulting from truncating x
// towards zero. If 0 <= x <= math.MaxUint64, the result is Exact // towards zero. If 0 <= x <= math.MaxUint64, the result is [Exact]
// if x is an integer and Below otherwise. // if x is an integer and [Below] otherwise.
// The result is (0, Above) for x < 0, and (math.MaxUint64, Below) // The result is (0, [Above]) for x < 0, and ([math.MaxUint64], [Below])
// for x > math.MaxUint64. // for x > [math.MaxUint64].
func (x *Float) Uint64() (uint64, Accuracy) { func (x *Float) Uint64() (uint64, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -779,10 +779,10 @@ func (x *Float) Uint64() (uint64, Accuracy) {
} }
// Int64 returns the integer resulting from truncating x towards zero. // Int64 returns the integer resulting from truncating x towards zero.
// If math.MinInt64 <= x <= math.MaxInt64, the result is Exact if x is // If [math.MinInt64] <= x <= [math.MaxInt64], the result is [Exact] if x is
// an integer, and Above (x < 0) or Below (x > 0) otherwise. // an integer, and [Above] (x < 0) or [Below] (x > 0) otherwise.
// The result is (math.MinInt64, Above) for x < math.MinInt64, // The result is ([math.MinInt64], [Above]) for x < [math.MinInt64],
// and (math.MaxInt64, Below) for x > math.MaxInt64. // and ([math.MaxInt64], [Below]) for x > [math.MaxInt64].
func (x *Float) Int64() (int64, Accuracy) { func (x *Float) Int64() (int64, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -834,10 +834,10 @@ func (x *Float) Int64() (int64, Accuracy) {
} }
// Float32 returns the float32 value nearest to x. If x is too small to be // Float32 returns the float32 value nearest to x. If x is too small to be
// represented by a float32 (|x| < math.SmallestNonzeroFloat32), the result // represented by a float32 (|x| < [math.SmallestNonzeroFloat32]), the result
// is (0, Below) or (-0, Above), respectively, depending on the sign of x. // is (0, [Below]) or (-0, [Above]), respectively, depending on the sign of x.
// If x is too large to be represented by a float32 (|x| > math.MaxFloat32), // If x is too large to be represented by a float32 (|x| > [math.MaxFloat32]),
// the result is (+Inf, Above) or (-Inf, Below), depending on the sign of x. // the result is (+Inf, [Above]) or (-Inf, [Below]), depending on the sign of x.
func (x *Float) Float32() (float32, Accuracy) { func (x *Float) Float32() (float32, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -954,10 +954,10 @@ func (x *Float) Float32() (float32, Accuracy) {
} }
// Float64 returns the float64 value nearest to x. If x is too small to be // Float64 returns the float64 value nearest to x. If x is too small to be
// represented by a float64 (|x| < math.SmallestNonzeroFloat64), the result // represented by a float64 (|x| < [math.SmallestNonzeroFloat64]), the result
// is (0, Below) or (-0, Above), respectively, depending on the sign of x. // is (0, [Below]) or (-0, [Above]), respectively, depending on the sign of x.
// If x is too large to be represented by a float64 (|x| > math.MaxFloat64), // If x is too large to be represented by a float64 (|x| > [math.MaxFloat64]),
// the result is (+Inf, Above) or (-Inf, Below), depending on the sign of x. // the result is (+Inf, [Above]) or (-Inf, [Below]), depending on the sign of x.
func (x *Float) Float64() (float64, Accuracy) { func (x *Float) Float64() (float64, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -1075,10 +1075,10 @@ func (x *Float) Float64() (float64, Accuracy) {
// Int returns the result of truncating x towards zero; // Int returns the result of truncating x towards zero;
// or nil if x is an infinity. // or nil if x is an infinity.
// The result is Exact if x.IsInt(); otherwise it is Below // The result is [Exact] if x.IsInt(); otherwise it is [Below]
// for x > 0, and Above for x < 0. // for x > 0, and [Above] for x < 0.
// If a non-nil *Int argument z is provided, Int stores // If a non-nil *[Int] argument z is provided, [Int] stores
// the result in z instead of allocating a new Int. // the result in z instead of allocating a new [Int].
func (x *Float) Int(z *Int) (*Int, Accuracy) { func (x *Float) Int(z *Int) (*Int, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -1132,9 +1132,9 @@ func (x *Float) Int(z *Int) (*Int, Accuracy) {
// Rat returns the rational number corresponding to x; // Rat returns the rational number corresponding to x;
// or nil if x is an infinity. // or nil if x is an infinity.
// The result is Exact if x is not an Inf. // The result is [Exact] if x is not an Inf.
// If a non-nil *Rat argument z is provided, Rat stores // If a non-nil *[Rat] argument z is provided, [Rat] stores
// the result in z instead of allocating a new Rat. // the result in z instead of allocating a new [Rat].
func (x *Float) Rat(z *Rat) (*Rat, Accuracy) { func (x *Float) Rat(z *Rat) (*Rat, Accuracy) {
if debugFloat { if debugFloat {
x.validate() x.validate()
@ -1444,7 +1444,7 @@ func (x *Float) ucmp(y *Float) int {
// it is changed to the larger of x's or y's precision before the operation. // it is changed to the larger of x's or y's precision before the operation.
// Rounding is performed according to z's precision and rounding mode; and // Rounding is performed according to z's precision and rounding mode; and
// z's accuracy reports the result error relative to the exact (not rounded) // z's accuracy reports the result error relative to the exact (not rounded)
// result. Add panics with ErrNaN if x and y are infinities with opposite // result. Add panics with [ErrNaN] if x and y are infinities with opposite
// signs. The value of z is undefined in that case. // signs. The value of z is undefined in that case.
func (z *Float) Add(x, y *Float) *Float { func (z *Float) Add(x, y *Float) *Float {
if debugFloat { if debugFloat {
@ -1517,8 +1517,8 @@ func (z *Float) Add(x, y *Float) *Float {
} }
// Sub sets z to the rounded difference x-y and returns z. // Sub sets z to the rounded difference x-y and returns z.
// Precision, rounding, and accuracy reporting are as for Add. // Precision, rounding, and accuracy reporting are as for [Float.Add].
// Sub panics with ErrNaN if x and y are infinities with equal // Sub panics with [ErrNaN] if x and y are infinities with equal
// signs. The value of z is undefined in that case. // signs. The value of z is undefined in that case.
func (z *Float) Sub(x, y *Float) *Float { func (z *Float) Sub(x, y *Float) *Float {
if debugFloat { if debugFloat {
@ -1584,8 +1584,8 @@ func (z *Float) Sub(x, y *Float) *Float {
} }
// Mul sets z to the rounded product x*y and returns z. // Mul sets z to the rounded product x*y and returns z.
// Precision, rounding, and accuracy reporting are as for Add. // Precision, rounding, and accuracy reporting are as for [Float.Add].
// Mul panics with ErrNaN if one operand is zero and the other // Mul panics with [ErrNaN] if one operand is zero and the other
// operand an infinity. The value of z is undefined in that case. // operand an infinity. The value of z is undefined in that case.
func (z *Float) Mul(x, y *Float) *Float { func (z *Float) Mul(x, y *Float) *Float {
if debugFloat { if debugFloat {
@ -1629,8 +1629,8 @@ func (z *Float) Mul(x, y *Float) *Float {
} }
// Quo sets z to the rounded quotient x/y and returns z. // Quo sets z to the rounded quotient x/y and returns z.
// Precision, rounding, and accuracy reporting are as for Add. // Precision, rounding, and accuracy reporting are as for [Float.Add].
// Quo panics with ErrNaN if both operands are zero or infinities. // Quo panics with [ErrNaN] if both operands are zero or infinities.
// The value of z is undefined in that case. // The value of z is undefined in that case.
func (z *Float) Quo(x, y *Float) *Float { func (z *Float) Quo(x, y *Float) *Float {
if debugFloat { if debugFloat {

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@ -16,7 +16,7 @@ var floatZero Float
// SetString sets z to the value of s and returns z and a boolean indicating // SetString sets z to the value of s and returns z and a boolean indicating
// success. s must be a floating-point number of the same format as accepted // success. s must be a floating-point number of the same format as accepted
// by Parse, with base argument 0. The entire string (not just a prefix) must // by [Float.Parse], with base argument 0. The entire string (not just a prefix) must
// be valid for success. If the operation failed, the value of z is undefined // be valid for success. If the operation failed, the value of z is undefined
// but the returned value is nil. // but the returned value is nil.
func (z *Float) SetString(s string) (*Float, bool) { func (z *Float) SetString(s string) (*Float, bool) {
@ -290,9 +290,9 @@ func ParseFloat(s string, base int, prec uint, mode RoundingMode) (f *Float, b i
var _ fmt.Scanner = (*Float)(nil) // *Float must implement fmt.Scanner var _ fmt.Scanner = (*Float)(nil) // *Float must implement fmt.Scanner
// Scan is a support routine for fmt.Scanner; it sets z to the value of // Scan is a support routine for [fmt.Scanner]; it sets z to the value of
// the scanned number. It accepts formats whose verbs are supported by // the scanned number. It accepts formats whose verbs are supported by
// fmt.Scan for floating point values, which are: // [fmt.Scan] for floating point values, which are:
// 'b' (binary), 'e', 'E', 'f', 'F', 'g' and 'G'. // 'b' (binary), 'e', 'E', 'f', 'F', 'g' and 'G'.
// Scan doesn't handle ±Inf. // Scan doesn't handle ±Inf.
func (z *Float) Scan(s fmt.ScanState, ch rune) error { func (z *Float) Scan(s fmt.ScanState, ch rune) error {

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@ -15,8 +15,8 @@ import (
// Gob codec version. Permits backward-compatible changes to the encoding. // Gob codec version. Permits backward-compatible changes to the encoding.
const floatGobVersion byte = 1 const floatGobVersion byte = 1
// GobEncode implements the gob.GobEncoder interface. // GobEncode implements the [encoding/gob.GobEncoder] interface.
// The Float value and all its attributes (precision, // The [Float] value and all its attributes (precision,
// rounding mode, accuracy) are marshaled. // rounding mode, accuracy) are marshaled.
func (x *Float) GobEncode() ([]byte, error) { func (x *Float) GobEncode() ([]byte, error) {
if x == nil { if x == nil {
@ -58,7 +58,7 @@ func (x *Float) GobEncode() ([]byte, error) {
return buf, nil return buf, nil
} }
// GobDecode implements the gob.GobDecoder interface. // GobDecode implements the [encoding/gob.GobDecoder] interface.
// The result is rounded per the precision and rounding mode of // The result is rounded per the precision and rounding mode of
// z unless z's precision is 0, in which case z is set exactly // z unless z's precision is 0, in which case z is set exactly
// to the decoded value. // to the decoded value.
@ -106,8 +106,8 @@ func (z *Float) GobDecode(buf []byte) error {
return nil return nil
} }
// MarshalText implements the encoding.TextMarshaler interface. // MarshalText implements the [encoding.TextMarshaler] interface.
// Only the Float value is marshaled (in full precision), other // Only the [Float] value is marshaled (in full precision), other
// attributes such as precision or accuracy are ignored. // attributes such as precision or accuracy are ignored.
func (x *Float) MarshalText() (text []byte, err error) { func (x *Float) MarshalText() (text []byte, err error) {
if x == nil { if x == nil {
@ -117,7 +117,7 @@ func (x *Float) MarshalText() (text []byte, err error) {
return x.Append(buf, 'g', -1), nil return x.Append(buf, 'g', -1), nil
} }
// UnmarshalText implements the encoding.TextUnmarshaler interface. // UnmarshalText implements the [encoding.TextUnmarshaler] interface.
// The result is rounded per the precision and rounding mode of z. // The result is rounded per the precision and rounding mode of z.
// If z's precision is 0, it is changed to 64 before rounding takes // If z's precision is 0, it is changed to 64 before rounding takes
// effect. // effect.

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@ -53,7 +53,7 @@ func (x *Float) Text(format byte, prec int) string {
} }
// String formats x like x.Text('g', 10). // String formats x like x.Text('g', 10).
// (String must be called explicitly, Float.Format does not support %s verb.) // (String must be called explicitly, [Float.Format] does not support %s verb.)
func (x *Float) String() string { func (x *Float) String() string {
return x.Text('g', 10) return x.Text('g', 10)
} }
@ -446,7 +446,7 @@ func (x *Float) fmtP(buf []byte) []byte {
var _ fmt.Formatter = &floatZero // *Float must implement fmt.Formatter var _ fmt.Formatter = &floatZero // *Float must implement fmt.Formatter
// Format implements fmt.Formatter. It accepts all the regular // Format implements [fmt.Formatter]. It accepts all the regular
// formats for floating-point numbers ('b', 'e', 'E', 'f', 'F', // formats for floating-point numbers ('b', 'e', 'E', 'f', 'F',
// 'g', 'G', 'x') as well as 'p' and 'v'. See (*Float).Text for the // 'g', 'G', 'x') as well as 'p' and 'v'. See (*Float).Text for the
// interpretation of 'p'. The 'v' format is handled like 'g'. // interpretation of 'p'. The 'v' format is handled like 'g'.

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@ -20,7 +20,7 @@ import (
// than Int values, and each unique Int value requires // than Int values, and each unique Int value requires
// its own unique *Int pointer. To "copy" an Int value, // its own unique *Int pointer. To "copy" an Int value,
// an existing (or newly allocated) Int must be set to // an existing (or newly allocated) Int must be set to
// a new value using the Int.Set method; shallow copies // a new value using the [Int.Set] method; shallow copies
// of Ints are not supported and may lead to errors. // of Ints are not supported and may lead to errors.
// //
// Note that methods may leak the Int's value through timing side-channels. // Note that methods may leak the Int's value through timing side-channels.
@ -74,7 +74,7 @@ func (z *Int) SetUint64(x uint64) *Int {
return z return z
} }
// NewInt allocates and returns a new Int set to x. // NewInt allocates and returns a new [Int] set to x.
func NewInt(x int64) *Int { func NewInt(x int64) *Int {
// This code is arranged to be inlineable and produce // This code is arranged to be inlineable and produce
// zero allocations when inlined. See issue 29951. // zero allocations when inlined. See issue 29951.
@ -102,9 +102,9 @@ func (z *Int) Set(x *Int) *Int {
} }
// Bits provides raw (unchecked but fast) access to x by returning its // Bits provides raw (unchecked but fast) access to x by returning its
// absolute value as a little-endian Word slice. The result and x share // absolute value as a little-endian [Word] slice. The result and x share
// the same underlying array. // the same underlying array.
// Bits is intended to support implementation of missing low-level Int // Bits is intended to support implementation of missing low-level [Int]
// functionality outside this package; it should be avoided otherwise. // functionality outside this package; it should be avoided otherwise.
func (x *Int) Bits() []Word { func (x *Int) Bits() []Word {
// This function is used in cryptographic operations. It must not leak // This function is used in cryptographic operations. It must not leak
@ -114,9 +114,9 @@ func (x *Int) Bits() []Word {
} }
// SetBits provides raw (unchecked but fast) access to z by setting its // SetBits provides raw (unchecked but fast) access to z by setting its
// value to abs, interpreted as a little-endian Word slice, and returning // value to abs, interpreted as a little-endian [Word] slice, and returning
// z. The result and abs share the same underlying array. // z. The result and abs share the same underlying array.
// SetBits is intended to support implementation of missing low-level Int // SetBits is intended to support implementation of missing low-level [Int]
// functionality outside this package; it should be avoided otherwise. // functionality outside this package; it should be avoided otherwise.
func (z *Int) SetBits(abs []Word) *Int { func (z *Int) SetBits(abs []Word) *Int {
z.abs = nat(abs).norm() z.abs = nat(abs).norm()
@ -263,7 +263,7 @@ func (z *Int) Binomial(n, k int64) *Int {
// Quo sets z to the quotient x/y for y != 0 and returns z. // Quo sets z to the quotient x/y for y != 0 and returns z.
// If y == 0, a division-by-zero run-time panic occurs. // If y == 0, a division-by-zero run-time panic occurs.
// Quo implements truncated division (like Go); see QuoRem for more details. // Quo implements truncated division (like Go); see [Int.QuoRem] for more details.
func (z *Int) Quo(x, y *Int) *Int { func (z *Int) Quo(x, y *Int) *Int {
z.abs, _ = z.abs.div(nil, x.abs, y.abs) z.abs, _ = z.abs.div(nil, x.abs, y.abs)
z.neg = len(z.abs) > 0 && x.neg != y.neg // 0 has no sign z.neg = len(z.abs) > 0 && x.neg != y.neg // 0 has no sign
@ -272,7 +272,7 @@ func (z *Int) Quo(x, y *Int) *Int {
// Rem sets z to the remainder x%y for y != 0 and returns z. // Rem sets z to the remainder x%y for y != 0 and returns z.
// If y == 0, a division-by-zero run-time panic occurs. // If y == 0, a division-by-zero run-time panic occurs.
// Rem implements truncated modulus (like Go); see QuoRem for more details. // Rem implements truncated modulus (like Go); see [Int.QuoRem] for more details.
func (z *Int) Rem(x, y *Int) *Int { func (z *Int) Rem(x, y *Int) *Int {
_, z.abs = nat(nil).div(z.abs, x.abs, y.abs) _, z.abs = nat(nil).div(z.abs, x.abs, y.abs)
z.neg = len(z.abs) > 0 && x.neg // 0 has no sign z.neg = len(z.abs) > 0 && x.neg // 0 has no sign
@ -298,7 +298,7 @@ func (z *Int) QuoRem(x, y, r *Int) (*Int, *Int) {
// Div sets z to the quotient x/y for y != 0 and returns z. // Div sets z to the quotient x/y for y != 0 and returns z.
// If y == 0, a division-by-zero run-time panic occurs. // If y == 0, a division-by-zero run-time panic occurs.
// Div implements Euclidean division (unlike Go); see DivMod for more details. // Div implements Euclidean division (unlike Go); see [Int.DivMod] for more details.
func (z *Int) Div(x, y *Int) *Int { func (z *Int) Div(x, y *Int) *Int {
y_neg := y.neg // z may be an alias for y y_neg := y.neg // z may be an alias for y
var r Int var r Int
@ -315,7 +315,7 @@ func (z *Int) Div(x, y *Int) *Int {
// Mod sets z to the modulus x%y for y != 0 and returns z. // Mod sets z to the modulus x%y for y != 0 and returns z.
// If y == 0, a division-by-zero run-time panic occurs. // If y == 0, a division-by-zero run-time panic occurs.
// Mod implements Euclidean modulus (unlike Go); see DivMod for more details. // Mod implements Euclidean modulus (unlike Go); see [Int.DivMod] for more details.
func (z *Int) Mod(x, y *Int) *Int { func (z *Int) Mod(x, y *Int) *Int {
y0 := y // save y y0 := y // save y
if z == y || alias(z.abs, y.abs) { if z == y || alias(z.abs, y.abs) {
@ -346,7 +346,7 @@ func (z *Int) Mod(x, y *Int) *Int {
// div and mod”. ACM Transactions on Programming Languages and // div and mod”. ACM Transactions on Programming Languages and
// Systems (TOPLAS), 14(2):127-144, New York, NY, USA, 4/1992. // Systems (TOPLAS), 14(2):127-144, New York, NY, USA, 4/1992.
// ACM press.) // ACM press.)
// See QuoRem for T-division and modulus (like Go). // See [Int.QuoRem] for T-division and modulus (like Go).
func (z *Int) DivMod(x, y, m *Int) (*Int, *Int) { func (z *Int) DivMod(x, y, m *Int) (*Int, *Int) {
y0 := y // save y y0 := y // save y
if z == y || alias(z.abs, y.abs) { if z == y || alias(z.abs, y.abs) {
@ -475,7 +475,7 @@ func (x *Int) Float64() (float64, Accuracy) {
// (not just a prefix) must be valid for success. If SetString fails, // (not just a prefix) must be valid for success. If SetString fails,
// the value of z is undefined but the returned value is nil. // the value of z is undefined but the returned value is nil.
// //
// The base argument must be 0 or a value between 2 and MaxBase. // The base argument must be 0 or a value between 2 and [MaxBase].
// For base 0, the number prefix determines the actual base: A prefix of // For base 0, the number prefix determines the actual base: A prefix of
// “0b” or “0B” selects base 2, “0”, “0o” or “0O” selects base 8, // “0b” or “0B” selects base 2, “0”, “0o” or “0O” selects base 8,
// and “0x” or “0X” selects base 16. Otherwise, the selected base is 10 // and “0x” or “0X” selects base 16. Otherwise, the selected base is 10
@ -519,7 +519,7 @@ func (z *Int) SetBytes(buf []byte) *Int {
// Bytes returns the absolute value of x as a big-endian byte slice. // Bytes returns the absolute value of x as a big-endian byte slice.
// //
// To use a fixed length slice, or a preallocated one, use FillBytes. // To use a fixed length slice, or a preallocated one, use [Int.FillBytes].
func (x *Int) Bytes() []byte { func (x *Int) Bytes() []byte {
// This function is used in cryptographic operations. It must not leak // This function is used in cryptographic operations. It must not leak
// anything but the Int's sign and bit size through side-channels. Any // anything but the Int's sign and bit size through side-channels. Any
@ -881,8 +881,8 @@ func (z *Int) lehmerGCD(x, y, a, b *Int) *Int {
// Rand sets z to a pseudo-random number in [0, n) and returns z. // Rand sets z to a pseudo-random number in [0, n) and returns z.
// //
// As this uses the math/rand package, it must not be used for // As this uses the [math/rand] package, it must not be used for
// security-sensitive work. Use crypto/rand.Int instead. // security-sensitive work. Use [crypto/rand.Int] instead.
func (z *Int) Rand(rnd *rand.Rand, n *Int) *Int { func (z *Int) Rand(rnd *rand.Rand, n *Int) *Int {
// z.neg is not modified before the if check, because z and n might alias. // z.neg is not modified before the if check, because z and n might alias.
if n.neg || len(n.abs) == 0 { if n.neg || len(n.abs) == 0 {

View File

@ -52,7 +52,7 @@ func writeMultiple(s fmt.State, text string, count int) {
var _ fmt.Formatter = intOne // *Int must implement fmt.Formatter var _ fmt.Formatter = intOne // *Int must implement fmt.Formatter
// Format implements fmt.Formatter. It accepts the formats // Format implements [fmt.Formatter]. It accepts the formats
// 'b' (binary), 'o' (octal with 0 prefix), 'O' (octal with 0o prefix), // 'b' (binary), 'o' (octal with 0 prefix), 'O' (octal with 0o prefix),
// 'd' (decimal), 'x' (lowercase hexadecimal), and // 'd' (decimal), 'x' (lowercase hexadecimal), and
// 'X' (uppercase hexadecimal). // 'X' (uppercase hexadecimal).
@ -230,7 +230,7 @@ func (r byteReader) UnreadByte() error {
var _ fmt.Scanner = intOne // *Int must implement fmt.Scanner var _ fmt.Scanner = intOne // *Int must implement fmt.Scanner
// Scan is a support routine for fmt.Scanner; it sets z to the value of // Scan is a support routine for [fmt.Scanner]; it sets z to the value of
// the scanned number. It accepts the formats 'b' (binary), 'o' (octal), // the scanned number. It accepts the formats 'b' (binary), 'o' (octal),
// 'd' (decimal), 'x' (lowercase hexadecimal), and 'X' (uppercase hexadecimal). // 'd' (decimal), 'x' (lowercase hexadecimal), and 'X' (uppercase hexadecimal).
func (z *Int) Scan(s fmt.ScanState, ch rune) error { func (z *Int) Scan(s fmt.ScanState, ch rune) error {

View File

@ -14,7 +14,7 @@ import (
// Gob codec version. Permits backward-compatible changes to the encoding. // Gob codec version. Permits backward-compatible changes to the encoding.
const intGobVersion byte = 1 const intGobVersion byte = 1
// GobEncode implements the gob.GobEncoder interface. // GobEncode implements the [encoding/gob.GobEncoder] interface.
func (x *Int) GobEncode() ([]byte, error) { func (x *Int) GobEncode() ([]byte, error) {
if x == nil { if x == nil {
return nil, nil return nil, nil
@ -29,7 +29,7 @@ func (x *Int) GobEncode() ([]byte, error) {
return buf[i:], nil return buf[i:], nil
} }
// GobDecode implements the gob.GobDecoder interface. // GobDecode implements the [encoding/gob.GobDecoder] interface.
func (z *Int) GobDecode(buf []byte) error { func (z *Int) GobDecode(buf []byte) error {
if len(buf) == 0 { if len(buf) == 0 {
// Other side sent a nil or default value. // Other side sent a nil or default value.
@ -45,7 +45,7 @@ func (z *Int) GobDecode(buf []byte) error {
return nil return nil
} }
// MarshalText implements the encoding.TextMarshaler interface. // MarshalText implements the [encoding.TextMarshaler] interface.
func (x *Int) MarshalText() (text []byte, err error) { func (x *Int) MarshalText() (text []byte, err error) {
if x == nil { if x == nil {
return []byte("<nil>"), nil return []byte("<nil>"), nil
@ -53,7 +53,7 @@ func (x *Int) MarshalText() (text []byte, err error) {
return x.abs.itoa(x.neg, 10), nil return x.abs.itoa(x.neg, 10), nil
} }
// UnmarshalText implements the encoding.TextUnmarshaler interface. // UnmarshalText implements the [encoding.TextUnmarshaler] interface.
func (z *Int) UnmarshalText(text []byte) error { func (z *Int) UnmarshalText(text []byte) error {
if _, ok := z.setFromScanner(bytes.NewReader(text), 0); !ok { if _, ok := z.setFromScanner(bytes.NewReader(text), 0); !ok {
return fmt.Errorf("math/big: cannot unmarshal %q into a *big.Int", text) return fmt.Errorf("math/big: cannot unmarshal %q into a *big.Int", text)
@ -65,7 +65,7 @@ func (z *Int) UnmarshalText(text []byte) error {
// (programs that explicitly look for these two methods). JSON works // (programs that explicitly look for these two methods). JSON works
// fine with the TextMarshaler only. // fine with the TextMarshaler only.
// MarshalJSON implements the json.Marshaler interface. // MarshalJSON implements the [encoding/json.Marshaler] interface.
func (x *Int) MarshalJSON() ([]byte, error) { func (x *Int) MarshalJSON() ([]byte, error) {
if x == nil { if x == nil {
return []byte("null"), nil return []byte("null"), nil
@ -73,7 +73,7 @@ func (x *Int) MarshalJSON() ([]byte, error) {
return x.abs.itoa(x.neg, 10), nil return x.abs.itoa(x.neg, 10), nil
} }
// UnmarshalJSON implements the json.Unmarshaler interface. // UnmarshalJSON implements the [encoding/json.Unmarshaler] interface.
func (z *Int) UnmarshalJSON(text []byte) error { func (z *Int) UnmarshalJSON(text []byte) error {
// Ignore null, like in the main JSON package. // Ignore null, like in the main JSON package.
if string(text) == "null" { if string(text) == "null" {

View File

@ -18,7 +18,7 @@ import (
// than Rat values, and each unique Rat value requires // than Rat values, and each unique Rat value requires
// its own unique *Rat pointer. To "copy" a Rat value, // its own unique *Rat pointer. To "copy" a Rat value,
// an existing (or newly allocated) Rat must be set to // an existing (or newly allocated) Rat must be set to
// a new value using the Rat.Set method; shallow copies // a new value using the [Rat.Set] method; shallow copies
// of Rats are not supported and may lead to errors. // of Rats are not supported and may lead to errors.
type Rat struct { type Rat struct {
// To make zero values for Rat work w/o initialization, // To make zero values for Rat work w/o initialization,
@ -29,7 +29,7 @@ type Rat struct {
a, b Int a, b Int
} }
// NewRat creates a new Rat with numerator a and denominator b. // NewRat creates a new [Rat] with numerator a and denominator b.
func NewRat(a, b int64) *Rat { func NewRat(a, b int64) *Rat {
return new(Rat).SetFrac64(a, b) return new(Rat).SetFrac64(a, b)
} }
@ -411,8 +411,8 @@ func (x *Rat) Num() *Int {
// Denom returns the denominator of x; it is always > 0. // Denom returns the denominator of x; it is always > 0.
// The result is a reference to x's denominator, unless // The result is a reference to x's denominator, unless
// x is an uninitialized (zero value) Rat, in which case // x is an uninitialized (zero value) [Rat], in which case
// the result is a new Int of value 1. (To initialize x, // the result is a new [Int] of value 1. (To initialize x,
// any operation that sets x will do, including x.Set(x).) // any operation that sets x will do, including x.Set(x).)
// If the result is a reference to x's denominator it // If the result is a reference to x's denominator it
// may change if a new value is assigned to x, and vice versa. // may change if a new value is assigned to x, and vice versa.

View File

@ -16,7 +16,7 @@ import (
// Gob codec version. Permits backward-compatible changes to the encoding. // Gob codec version. Permits backward-compatible changes to the encoding.
const ratGobVersion byte = 1 const ratGobVersion byte = 1
// GobEncode implements the gob.GobEncoder interface. // GobEncode implements the [encoding/gob.GobEncoder] interface.
func (x *Rat) GobEncode() ([]byte, error) { func (x *Rat) GobEncode() ([]byte, error) {
if x == nil { if x == nil {
return nil, nil return nil, nil
@ -39,7 +39,7 @@ func (x *Rat) GobEncode() ([]byte, error) {
return buf[j:], nil return buf[j:], nil
} }
// GobDecode implements the gob.GobDecoder interface. // GobDecode implements the [encoding/gob.GobDecoder] interface.
func (z *Rat) GobDecode(buf []byte) error { func (z *Rat) GobDecode(buf []byte) error {
if len(buf) == 0 { if len(buf) == 0 {
// Other side sent a nil or default value. // Other side sent a nil or default value.
@ -68,7 +68,7 @@ func (z *Rat) GobDecode(buf []byte) error {
return nil return nil
} }
// MarshalText implements the encoding.TextMarshaler interface. // MarshalText implements the [encoding.TextMarshaler] interface.
func (x *Rat) MarshalText() (text []byte, err error) { func (x *Rat) MarshalText() (text []byte, err error) {
if x.IsInt() { if x.IsInt() {
return x.a.MarshalText() return x.a.MarshalText()
@ -76,7 +76,7 @@ func (x *Rat) MarshalText() (text []byte, err error) {
return x.marshal(), nil return x.marshal(), nil
} }
// UnmarshalText implements the encoding.TextUnmarshaler interface. // UnmarshalText implements the [encoding.TextUnmarshaler] interface.
func (z *Rat) UnmarshalText(text []byte) error { func (z *Rat) UnmarshalText(text []byte) error {
// TODO(gri): get rid of the []byte/string conversion // TODO(gri): get rid of the []byte/string conversion
if _, ok := z.SetString(string(text)); !ok { if _, ok := z.SetString(string(text)); !ok {

View File

@ -21,7 +21,7 @@ const UintSize = uintSize
// --- LeadingZeros --- // --- LeadingZeros ---
// LeadingZeros returns the number of leading zero bits in x; the result is UintSize for x == 0. // LeadingZeros returns the number of leading zero bits in x; the result is [UintSize] for x == 0.
func LeadingZeros(x uint) int { return UintSize - Len(x) } func LeadingZeros(x uint) int { return UintSize - Len(x) }
// LeadingZeros8 returns the number of leading zero bits in x; the result is 8 for x == 0. // LeadingZeros8 returns the number of leading zero bits in x; the result is 8 for x == 0.
@ -55,7 +55,7 @@ var deBruijn64tab = [64]byte{
54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6, 54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
} }
// TrailingZeros returns the number of trailing zero bits in x; the result is UintSize for x == 0. // TrailingZeros returns the number of trailing zero bits in x; the result is [UintSize] for x == 0.
func TrailingZeros(x uint) int { func TrailingZeros(x uint) int {
if UintSize == 32 { if UintSize == 32 {
return TrailingZeros32(uint32(x)) return TrailingZeros32(uint32(x))
@ -169,7 +169,7 @@ func OnesCount64(x uint64) int {
// --- RotateLeft --- // --- RotateLeft ---
// RotateLeft returns the value of x rotated left by (k mod UintSize) bits. // RotateLeft returns the value of x rotated left by (k mod [UintSize]) bits.
// To rotate x right by k bits, call RotateLeft(x, -k). // To rotate x right by k bits, call RotateLeft(x, -k).
// //
// This function's execution time does not depend on the inputs. // This function's execution time does not depend on the inputs.
@ -578,14 +578,14 @@ func Rem(hi, lo, y uint) uint {
} }
// Rem32 returns the remainder of (hi, lo) divided by y. Rem32 panics // Rem32 returns the remainder of (hi, lo) divided by y. Rem32 panics
// for y == 0 (division by zero) but, unlike Div32, it doesn't panic // for y == 0 (division by zero) but, unlike [Div32], it doesn't panic
// on a quotient overflow. // on a quotient overflow.
func Rem32(hi, lo, y uint32) uint32 { func Rem32(hi, lo, y uint32) uint32 {
return uint32((uint64(hi)<<32 | uint64(lo)) % uint64(y)) return uint32((uint64(hi)<<32 | uint64(lo)) % uint64(y))
} }
// Rem64 returns the remainder of (hi, lo) divided by y. Rem64 panics // Rem64 returns the remainder of (hi, lo) divided by y. Rem64 panics
// for y == 0 (division by zero) but, unlike Div64, it doesn't panic // for y == 0 (division by zero) but, unlike [Div64], it doesn't panic
// on a quotient overflow. // on a quotient overflow.
func Rem64(hi, lo, y uint64) uint64 { func Rem64(hi, lo, y uint64) uint64 {
// We scale down hi so that hi < y, then use Div64 to compute the // We scale down hi so that hi < y, then use Div64 to compute the

View File

@ -43,7 +43,7 @@ import "math"
// IEEE -10,+10 30000 9.4e-15 1.5e-15 // IEEE -10,+10 30000 9.4e-15 1.5e-15
// Pow returns x**y, the base-x exponential of y. // Pow returns x**y, the base-x exponential of y.
// For generalized compatibility with math.Pow: // For generalized compatibility with [math.Pow]:
// //
// Pow(0, ±0) returns 1+0i // Pow(0, ±0) returns 1+0i
// Pow(0, c) for real(c)<0 returns Inf+0i if imag(c) is zero, otherwise Inf+Inf i. // Pow(0, c) for real(c)<0 returns Inf+0i if imag(c) is zero, otherwise Inf+Inf i.

View File

@ -116,7 +116,7 @@ func Erfinv(x float64) float64 {
return ans return ans
} }
// Erfcinv returns the inverse of Erfc(x). // Erfcinv returns the inverse of [Erfc](x).
// //
// Special cases are: // Special cases are:
// //

View File

@ -138,7 +138,7 @@ func exp(x float64) float64 {
// Exp2 returns 2**x, the base-2 exponential of x. // Exp2 returns 2**x, the base-2 exponential of x.
// //
// Special cases are the same as Exp. // Special cases are the same as [Exp].
func Exp2(x float64) float64 { func Exp2(x float64) float64 {
if haveArchExp2 { if haveArchExp2 {
return archExp2(x) return archExp2(x)

View File

@ -114,7 +114,7 @@ package math
// //
// Expm1 returns e**x - 1, the base-e exponential of x minus 1. // Expm1 returns e**x - 1, the base-e exponential of x minus 1.
// It is more accurate than Exp(x) - 1 when x is near zero. // It is more accurate than [Exp](x) - 1 when x is near zero.
// //
// Special cases are: // Special cases are:
// //

View File

@ -8,7 +8,7 @@ package math
Hypot -- sqrt(p*p + q*q), but overflows only if the result does. Hypot -- sqrt(p*p + q*q), but overflows only if the result does.
*/ */
// Hypot returns Sqrt(p*p + q*q), taking care to avoid // Hypot returns [Sqrt](p*p + q*q), taking care to avoid
// unnecessary overflow and underflow. // unnecessary overflow and underflow.
// //
// Special cases are: // Special cases are:

View File

@ -4,7 +4,7 @@
package math package math
// Ldexp is the inverse of Frexp. // Ldexp is the inverse of [Frexp].
// It returns frac × 2**exp. // It returns frac × 2**exp.
// //
// Special cases are: // Special cases are:

View File

@ -163,7 +163,7 @@ var _lgamW = [...]float64{
-1.63092934096575273989e-03, // 0xBF5AB89D0B9E43E4 -1.63092934096575273989e-03, // 0xBF5AB89D0B9E43E4
} }
// Lgamma returns the natural logarithm and sign (-1 or +1) of Gamma(x). // Lgamma returns the natural logarithm and sign (-1 or +1) of [Gamma](x).
// //
// Special cases are: // Special cases are:
// //

View File

@ -5,7 +5,7 @@
package math package math
// Log10 returns the decimal logarithm of x. // Log10 returns the decimal logarithm of x.
// The special cases are the same as for Log. // The special cases are the same as for [Log].
func Log10(x float64) float64 { func Log10(x float64) float64 {
if haveArchLog10 { if haveArchLog10 {
return archLog10(x) return archLog10(x)
@ -18,7 +18,7 @@ func log10(x float64) float64 {
} }
// Log2 returns the binary logarithm of x. // Log2 returns the binary logarithm of x.
// The special cases are the same as for Log. // The special cases are the same as for [Log].
func Log2(x float64) float64 { func Log2(x float64) float64 {
if haveArchLog2 { if haveArchLog2 {
return archLog2(x) return archLog2(x)

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@ -84,7 +84,7 @@ package math
// See HP-15C Advanced Functions Handbook, p.193. // See HP-15C Advanced Functions Handbook, p.193.
// Log1p returns the natural logarithm of 1 plus its argument x. // Log1p returns the natural logarithm of 1 plus its argument x.
// It is more accurate than Log(1 + x) when x is near zero. // It is more accurate than [Log](1 + x) when x is near zero.
// //
// Special cases are: // Special cases are:
// //

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@ -21,7 +21,7 @@ const (
) )
// ExpFloat64 returns an exponentially distributed float64 in the range // ExpFloat64 returns an exponentially distributed float64 in the range
// (0, +math.MaxFloat64] with an exponential distribution whose rate parameter // (0, +[math.MaxFloat64]] with an exponential distribution whose rate parameter
// (lambda) is 1 and whose mean is 1/lambda (1). // (lambda) is 1 and whose mean is 1/lambda (1).
// To produce a distribution with a different rate parameter, // To produce a distribution with a different rate parameter,
// callers can adjust the output using: // callers can adjust the output using:

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@ -28,7 +28,7 @@ func absInt32(i int32) uint32 {
} }
// NormFloat64 returns a normally distributed float64 in // NormFloat64 returns a normally distributed float64 in
// the range -math.MaxFloat64 through +math.MaxFloat64 inclusive, // the range -[math.MaxFloat64] through +[math.MaxFloat64] inclusive,
// with standard normal distribution (mean = 0, stddev = 1). // with standard normal distribution (mean = 0, stddev = 1).
// To produce a different normal distribution, callers can // To produce a different normal distribution, callers can
// adjust the output using: // adjust the output using:

View File

@ -33,10 +33,10 @@ type Source interface {
Seed(seed int64) Seed(seed int64)
} }
// A Source64 is a Source that can also generate // A Source64 is a [Source] that can also generate
// uniformly-distributed pseudo-random uint64 values in // uniformly-distributed pseudo-random uint64 values in
// the range [0, 1<<64) directly. // the range [0, 1<<64) directly.
// If a Rand r's underlying Source s implements Source64, // If a [Rand] r's underlying [Source] s implements Source64,
// then r.Uint64 returns the result of one call to s.Uint64 // then r.Uint64 returns the result of one call to s.Uint64
// instead of making two calls to s.Int63. // instead of making two calls to s.Int63.
type Source64 interface { type Source64 interface {
@ -44,10 +44,10 @@ type Source64 interface {
Uint64() uint64 Uint64() uint64
} }
// NewSource returns a new pseudo-random Source seeded with the given value. // NewSource returns a new pseudo-random [Source] seeded with the given value.
// Unlike the default Source used by top-level functions, this source is not // Unlike the default [Source] used by top-level functions, this source is not
// safe for concurrent use by multiple goroutines. // safe for concurrent use by multiple goroutines.
// The returned Source implements Source64. // The returned [Source] implements [Source64].
func NewSource(seed int64) Source { func NewSource(seed int64) Source {
return newSource(seed) return newSource(seed)
} }
@ -73,7 +73,7 @@ type Rand struct {
readPos int8 readPos int8
} }
// New returns a new Rand that uses random values from src // New returns a new [Rand] that uses random values from src
// to generate other random values. // to generate other random values.
func New(src Source) *Rand { func New(src Source) *Rand {
s64, _ := src.(Source64) s64, _ := src.(Source64)
@ -81,7 +81,7 @@ func New(src Source) *Rand {
} }
// Seed uses the provided seed value to initialize the generator to a deterministic state. // Seed uses the provided seed value to initialize the generator to a deterministic state.
// Seed should not be called concurrently with any other Rand method. // Seed should not be called concurrently with any other [Rand] method.
func (r *Rand) Seed(seed int64) { func (r *Rand) Seed(seed int64) {
if lk, ok := r.src.(*lockedSource); ok { if lk, ok := r.src.(*lockedSource); ok {
lk.seedPos(seed, &r.readPos) lk.seedPos(seed, &r.readPos)
@ -378,7 +378,7 @@ func (fs *fastSource) read(p []byte, readVal *int64, readPos *int8) (n int, err
// Seed uses the provided seed value to initialize the default Source to a // Seed uses the provided seed value to initialize the default Source to a
// deterministic state. Seed values that have the same remainder when // deterministic state. Seed values that have the same remainder when
// divided by 2³¹-1 generate the same pseudo-random sequence. // divided by 2³¹-1 generate the same pseudo-random sequence.
// Seed, unlike the Rand.Seed method, is safe for concurrent use. // Seed, unlike the [Rand.Seed] method, is safe for concurrent use.
// //
// If Seed is not called, the generator is seeded randomly at program startup. // If Seed is not called, the generator is seeded randomly at program startup.
// //
@ -419,67 +419,67 @@ func Seed(seed int64) {
} }
// Int63 returns a non-negative pseudo-random 63-bit integer as an int64 // Int63 returns a non-negative pseudo-random 63-bit integer as an int64
// from the default Source. // from the default [Source].
func Int63() int64 { return globalRand().Int63() } func Int63() int64 { return globalRand().Int63() }
// Uint32 returns a pseudo-random 32-bit value as a uint32 // Uint32 returns a pseudo-random 32-bit value as a uint32
// from the default Source. // from the default [Source].
func Uint32() uint32 { return globalRand().Uint32() } func Uint32() uint32 { return globalRand().Uint32() }
// Uint64 returns a pseudo-random 64-bit value as a uint64 // Uint64 returns a pseudo-random 64-bit value as a uint64
// from the default Source. // from the default [Source].
func Uint64() uint64 { return globalRand().Uint64() } func Uint64() uint64 { return globalRand().Uint64() }
// Int31 returns a non-negative pseudo-random 31-bit integer as an int32 // Int31 returns a non-negative pseudo-random 31-bit integer as an int32
// from the default Source. // from the default [Source].
func Int31() int32 { return globalRand().Int31() } func Int31() int32 { return globalRand().Int31() }
// Int returns a non-negative pseudo-random int from the default Source. // Int returns a non-negative pseudo-random int from the default [Source].
func Int() int { return globalRand().Int() } func Int() int { return globalRand().Int() }
// Int63n returns, as an int64, a non-negative pseudo-random number in the half-open interval [0,n) // Int63n returns, as an int64, a non-negative pseudo-random number in the half-open interval [0,n)
// from the default Source. // from the default [Source].
// It panics if n <= 0. // It panics if n <= 0.
func Int63n(n int64) int64 { return globalRand().Int63n(n) } func Int63n(n int64) int64 { return globalRand().Int63n(n) }
// Int31n returns, as an int32, a non-negative pseudo-random number in the half-open interval [0,n) // Int31n returns, as an int32, a non-negative pseudo-random number in the half-open interval [0,n)
// from the default Source. // from the default [Source].
// It panics if n <= 0. // It panics if n <= 0.
func Int31n(n int32) int32 { return globalRand().Int31n(n) } func Int31n(n int32) int32 { return globalRand().Int31n(n) }
// Intn returns, as an int, a non-negative pseudo-random number in the half-open interval [0,n) // Intn returns, as an int, a non-negative pseudo-random number in the half-open interval [0,n)
// from the default Source. // from the default [Source].
// It panics if n <= 0. // It panics if n <= 0.
func Intn(n int) int { return globalRand().Intn(n) } func Intn(n int) int { return globalRand().Intn(n) }
// Float64 returns, as a float64, a pseudo-random number in the half-open interval [0.0,1.0) // Float64 returns, as a float64, a pseudo-random number in the half-open interval [0.0,1.0)
// from the default Source. // from the default [Source].
func Float64() float64 { return globalRand().Float64() } func Float64() float64 { return globalRand().Float64() }
// Float32 returns, as a float32, a pseudo-random number in the half-open interval [0.0,1.0) // Float32 returns, as a float32, a pseudo-random number in the half-open interval [0.0,1.0)
// from the default Source. // from the default [Source].
func Float32() float32 { return globalRand().Float32() } func Float32() float32 { return globalRand().Float32() }
// Perm returns, as a slice of n ints, a pseudo-random permutation of the integers // Perm returns, as a slice of n ints, a pseudo-random permutation of the integers
// in the half-open interval [0,n) from the default Source. // in the half-open interval [0,n) from the default [Source].
func Perm(n int) []int { return globalRand().Perm(n) } func Perm(n int) []int { return globalRand().Perm(n) }
// Shuffle pseudo-randomizes the order of elements using the default Source. // Shuffle pseudo-randomizes the order of elements using the default [Source].
// n is the number of elements. Shuffle panics if n < 0. // n is the number of elements. Shuffle panics if n < 0.
// swap swaps the elements with indexes i and j. // swap swaps the elements with indexes i and j.
func Shuffle(n int, swap func(i, j int)) { globalRand().Shuffle(n, swap) } func Shuffle(n int, swap func(i, j int)) { globalRand().Shuffle(n, swap) }
// Read generates len(p) random bytes from the default Source and // Read generates len(p) random bytes from the default [Source] and
// writes them into p. It always returns len(p) and a nil error. // writes them into p. It always returns len(p) and a nil error.
// Read, unlike the Rand.Read method, is safe for concurrent use. // Read, unlike the [Rand.Read] method, is safe for concurrent use.
// //
// Deprecated: For almost all use cases, crypto/rand.Read is more appropriate. // Deprecated: For almost all use cases, [crypto/rand.Read] is more appropriate.
func Read(p []byte) (n int, err error) { return globalRand().Read(p) } func Read(p []byte) (n int, err error) { return globalRand().Read(p) }
// NormFloat64 returns a normally distributed float64 in the range // NormFloat64 returns a normally distributed float64 in the range
// [-math.MaxFloat64, +math.MaxFloat64] with // [-[math.MaxFloat64], +[math.MaxFloat64]] with
// standard normal distribution (mean = 0, stddev = 1) // standard normal distribution (mean = 0, stddev = 1)
// from the default Source. // from the default [Source].
// To produce a different normal distribution, callers can // To produce a different normal distribution, callers can
// adjust the output using: // adjust the output using:
// //
@ -487,8 +487,8 @@ func Read(p []byte) (n int, err error) { return globalRand().Read(p) }
func NormFloat64() float64 { return globalRand().NormFloat64() } func NormFloat64() float64 { return globalRand().NormFloat64() }
// ExpFloat64 returns an exponentially distributed float64 in the range // ExpFloat64 returns an exponentially distributed float64 in the range
// (0, +math.MaxFloat64] with an exponential distribution whose rate parameter // (0, +[math.MaxFloat64]] with an exponential distribution whose rate parameter
// (lambda) is 1 and whose mean is 1/lambda (1) from the default Source. // (lambda) is 1 and whose mean is 1/lambda (1) from the default [Source].
// To produce a distribution with a different rate parameter, // To produce a distribution with a different rate parameter,
// callers can adjust the output using: // callers can adjust the output using:
// //

View File

@ -32,7 +32,7 @@ func (z *Zipf) hinv(x float64) float64 {
return math.Exp(z.oneminusQinv*math.Log(z.oneminusQ*x)) - z.v return math.Exp(z.oneminusQinv*math.Log(z.oneminusQ*x)) - z.v
} }
// NewZipf returns a Zipf variate generator. // NewZipf returns a [Zipf] variate generator.
// The generator generates values k ∈ [0, imax] // The generator generates values k ∈ [0, imax]
// such that P(k) is proportional to (v + k) ** (-s). // such that P(k) is proportional to (v + k) ** (-s).
// Requirements: s > 1 and v >= 1. // Requirements: s > 1 and v >= 1.
@ -53,8 +53,8 @@ func NewZipf(r *Rand, s float64, v float64, imax uint64) *Zipf {
return z return z
} }
// Uint64 returns a value drawn from the Zipf distribution described // Uint64 returns a value drawn from the [Zipf] distribution described
// by the Zipf object. // by the [Zipf] object.
func (z *Zipf) Uint64() uint64 { func (z *Zipf) Uint64() uint64 {
if z == nil { if z == nil {
panic("rand: nil Zipf") panic("rand: nil Zipf")