func floor(n *big.Rat) *big.Rat {
f := &big.Rat{}
z := new(big.Int)
z.Div(n.Num(), n.Denom())
f.SetInt(z)
return f
}
// hostconfigcmd is the handler for the command `siac host config [setting] [value]`.
// Modifies host settings.
func hostconfigcmd(param, value string) {
switch param {
case "price":
// convert price to hastings/byte/block
p, ok := new(big.Rat).SetString(value)
if !ok {
die("Could not parse price")
}
p.Mul(p, big.NewRat(1e24/1e9, 4320))
value = new(big.Int).Div(p.Num(), p.Denom()).String()
case "totalstorage":
// parse sizes of form 10GB, 10TB, 1TiB etc
var err error
value, err = parseSize(value)
if err != nil {
die("Could not parse totalstorage:", err)
}
case "minduration", "maxduration", "windowsize", "acceptingcontracts": // Other valid settings.
default:
// Reject invalid host config commands.
die("\"" + param + "\" is not a host setting")
}
err := post("/host", param+"="+value)
if err != nil {
die("Could not update host settings:", err)
}
fmt.Println("Host settings updated.")
}
func ratmod(x, y *big.Rat) *big.Rat {
if x.IsInt() && y.IsInt() {
return new(big.Rat).SetInt(new(big.Int).Mod(x.Num(), y.Num()))
}
panic("operation not permitted")
}
func hostconfigcmd(param, value string) {
// convert price to hastings/byte/block
if param == "price" {
p, ok := new(big.Rat).SetString(value)
if !ok {
fmt.Println("could not parse price")
return
}
p.Mul(p, big.NewRat(1e24/1e9, 4320))
value = new(big.Int).Div(p.Num(), p.Denom()).String()
}
// parse sizes of form 10GB, 10TB, 1TiB etc
if param == "totalstorage" {
var err error
value, err = parseSize(value)
if err != nil {
fmt.Println("could not parse " + param)
}
}
err := post("/host", param+"="+value)
if err != nil {
fmt.Println("Could not update host settings:", err)
return
}
fmt.Println("Host settings updated.")
}
// Returns a new big.Int set to the ceiling of x.
func ratCeil(x *big.Rat) *big.Int {
z := new(big.Int)
m := new(big.Int)
z.DivMod(x.Num(), x.Denom(), m)
if m.Cmp(intZero) == 1 {
z.Add(z, intOne)
}
return z
}
// MulRat returns a new Currency value c = x * y, where y is a big.Rat.
func (x Currency) MulRat(y *big.Rat) (c Currency) {
if y.Sign() < 0 {
build.Critical(ErrNegativeCurrency)
} else {
c.i.Mul(&x.i, y.Num())
c.i.Div(&c.i, y.Denom())
}
return
}
func Round(r *big.Rat) *big.Rat {
d := new(big.Int).Set(r.Denom())
n := new(big.Int).Set(r.Num())
n.Mod(n, d)
if new(big.Int).Mul(n, big.NewInt(2)).Cmp(d) >= 0 {
r.Add(r, new(big.Rat).SetInt64(1))
}
r.Sub(r, new(big.Rat).SetFrac(n, d))
return r
}
func CalcGasLimit(parent *types.Block) *big.Int {
// ((1024-1) * parent.gasLimit + (gasUsed * 6 / 5)) / 1024
previous := new(big.Int).Mul(big.NewInt(1024-1), parent.GasLimit())
current := new(big.Rat).Mul(new(big.Rat).SetInt(parent.GasUsed()), big.NewRat(6, 5))
curInt := new(big.Int).Div(current.Num(), current.Denom())
result := new(big.Int).Add(previous, curInt)
result.Div(result, big.NewInt(1024))
return common.BigMax(params.GenesisGasLimit, result)
}
// MulRat returns a new Currency value c = x * y, where y is a big.Rat.
func (x Currency) MulRat(y *big.Rat) (c Currency) {
if y.Sign() < 0 {
if build.DEBUG {
panic(ErrNegativeCurrency)
}
} else {
c.i.Mul(&x.i, y.Num())
c.i.Div(&c.i, y.Denom())
}
return
}
// Returns the parsed duration in nanoseconds, support 'u', 's', 'm',
// 'h', 'd', 'W', 'M', and 'Y' suffixes.
func ParseTimeDuration(value string) (int64, error) {
var constant time.Duration
prefixSize := 1
switch value[len(value)-1] {
case 'u':
constant = time.Microsecond
case 's':
constant = time.Second
case 'm':
constant = time.Minute
case 'h':
constant = time.Hour
case 'd':
constant = 24 * time.Hour
case 'w', 'W':
constant = Week
case 'M':
constant = Month
case 'y', 'Y':
constant = Year
default:
prefixSize = 0
}
if value[len(value)-2:] == "ms" {
constant = time.Millisecond
prefixSize = 2
}
t := big.Rat{}
timeString := value
if prefixSize > 0 {
timeString = value[:len(value)-prefixSize]
}
_, err := fmt.Sscan(timeString, &t)
if err != nil {
return 0, err
}
if prefixSize > 0 {
c := big.Rat{}
c.SetFrac64(int64(constant), 1)
t.Mul(&t, &c)
}
if t.IsInt() {
return t.Num().Int64(), nil
}
f, _ := t.Float64()
return int64(f), nil
}
// RatToTarget converts a big.Rat to a Target.
func RatToTarget(r *big.Rat) (t Target) {
if r.Num().Sign() < 0 {
if build.DEBUG {
panic(ErrNegativeTarget)
}
} else {
i := new(big.Int).Div(r.Num(), r.Denom())
t = IntToTarget(i)
}
return
}
// Do the numerator and denominator of r provide a solution to the equation
// x**2 - D*(y**2) = 1?
func isSolution(D int, r *big.Rat) bool {
S := big.NewInt(int64(D))
x := r.Num()
y := r.Denom()
one := big.NewInt(1)
two := big.NewInt(2)
a := new(big.Int).Exp(x, two, nil)
b := new(big.Int).Exp(y, two, nil)
return new(big.Int).Sub(a, new(big.Int).Mul(S, b)).Cmp(one) == 0
}
// COMPATv0.4.0 - until the first 10e3 blocks have been archived, MulFloat is
// needed while verifying the first set of blocks.
//
// MulFloat returns a new Currency value y = c * x, where x is a float64.
// Behavior is undefined when x is negative.
func (x Currency) MulFloat(y float64) (c Currency) {
if y < 0 {
build.Critical(ErrNegativeCurrency)
} else {
cRat := new(big.Rat).Mul(
new(big.Rat).SetInt(&x.i),
new(big.Rat).SetFloat64(y),
)
c.i.Div(cRat.Num(), cRat.Denom())
}
return
}
func makeRat(x *big.Rat) Value {
a := x.Num()
b := x.Denom()
if a.BitLen() < maxExp && b.BitLen() < maxExp {
// ok to remain fraction
return ratVal{x}
}
// components too large => switch to float
fa := newFloat().SetInt(a)
fb := newFloat().SetInt(b)
return floatVal{fa.Quo(fa, fb)}
}
func NewRational(r *big.Rat) Rational {
if !r.IsInt() || r.Cmp(min) < 0 || r.Cmp(max) > 0 {
return Rational{r}
}
n := r.Num().Int64()
i := n + 256
p := rat[i]
if p.v == nil {
p = Rational{r}
rat[i] = p
}
return p
}
func (v value) toInt() *big.Int {
switch v := v.v.(type) {
case *big.Int:
return v
case *big.Rat:
// TODO rounding?
return new(big.Int).Quo(v.Num(), v.Denom())
case float64:
r := new(big.Rat).SetFloat64(v)
if r == nil {
fatalf("cannot convert %v to float64", v)
}
// TODO rounding?
return new(big.Int).Quo(r.Num(), r.Denom())
}
panic(fmt.Errorf("unexpected type %T", v.v))
}
func parseResourceCPU(flags *pflag.FlagSet, resources *api.Resources, name string) error {
cpu, err := flags.GetString(name)
if err != nil {
return err
}
nanoCPUs, ok := new(big.Rat).SetString(cpu)
if !ok {
return fmt.Errorf("invalid cpu: %s", cpu)
}
cpuRat := new(big.Rat).Mul(nanoCPUs, big.NewRat(1e9, 1))
if !cpuRat.IsInt() {
return fmt.Errorf("CPU value cannot have more than 9 decimal places: %s", cpu)
}
resources.NanoCPUs = cpuRat.Num().Int64()
return nil
}
// Returns the parsed duration in nanoseconds, support 'u', 's', 'm',
// 'h', 'd' and 'w' suffixes.
func ParseTimeDuration(value string) (int64, error) {
var constant time.Duration
hasPrefix := true
switch value[len(value)-1] {
case 'u':
constant = time.Microsecond
case 's':
constant = time.Second
case 'm':
constant = time.Minute
case 'h':
constant = time.Hour
case 'd':
constant = 24 * time.Hour
case 'w':
constant = 7 * 24 * time.Hour
case 'y':
constant = 365 * 24 * time.Hour
default:
hasPrefix = false
}
t := big.Rat{}
timeString := value
if hasPrefix {
timeString = value[:len(value)-1]
}
_, err := fmt.Sscan(timeString, &t)
if err != nil {
return 0, err
}
if hasPrefix {
c := big.Rat{}
c.SetFrac64(int64(constant), 1)
t.Mul(&t, &c)
}
if t.IsInt() {
return t.Num().Int64(), nil
}
f, _ := t.Float64()
return int64(f), nil
}
func hostconfigcmd(param, value string) {
// convert price to hastings/byte/block
if param == "price" {
p, ok := new(big.Rat).SetString(value)
if !ok {
fmt.Println("could not parse price")
return
}
p.Mul(p, big.NewRat(1e24/1e9, 4320))
value = new(big.Int).Div(p.Num(), p.Denom()).String()
}
err := post("/host/configure", param+"="+value)
if err != nil {
fmt.Println("Could not update host settings:", err)
return
}
fmt.Println("Host settings updated.")
}
func (block *Block) CalcGasLimit(parent *Block) *big.Int {
if block.Number.Cmp(big.NewInt(0)) == 0 {
return ethutil.BigPow(10, 6)
}
// ((1024-1) * parent.gasLimit + (gasUsed * 6 / 5)) / 1024
previous := new(big.Int).Mul(big.NewInt(1024-1), parent.GasLimit)
current := new(big.Rat).Mul(new(big.Rat).SetInt(parent.GasUsed), big.NewRat(6, 5))
curInt := new(big.Int).Div(current.Num(), current.Denom())
result := new(big.Int).Add(previous, curInt)
result.Div(result, big.NewInt(1024))
min := big.NewInt(125000)
return ethutil.BigMax(min, result)
}
func NewRational(r *big.Rat) *Rational {
if !r.IsInt() || r.Cmp(min) < 0 || r.Cmp(max) > 0 {
return (*Rational)(r)
}
n := r.Num().Int64()
i := n + 256
ratl.RLock()
p := rat[i]
ratl.RUnlock()
if p == nil {
p = (*Rational)(r)
ratl.Lock()
rat[i] = p
ratl.Unlock()
}
return p
}
// bigRatToValue converts 'number' to an SQL value with SQL type: valueType.
// If valueType is integral it truncates 'number' to the integer part according to the
// semantics of the big.Rat.Int method.
func bigRatToValue(number *big.Rat, valueType querypb.Type) sqltypes.Value {
var numberAsBytes []byte
switch {
case sqltypes.IsIntegral(valueType):
// 'number.Num()' returns a reference to the numerator of 'number'.
// We copy it here to avoid changing 'number'.
truncatedNumber := new(big.Int).Set(number.Num())
truncatedNumber.Quo(truncatedNumber, number.Denom())
numberAsBytes = bigIntToSliceOfBytes(truncatedNumber)
case sqltypes.IsFloat(valueType):
// Truncate to the closest 'float'.
// There's not much we can do if there isn't an exact representation.
numberAsFloat64, _ := number.Float64()
numberAsBytes = strconv.AppendFloat([]byte{}, numberAsFloat64, 'f', -1, 64)
default:
panic(fmt.Sprintf("Unsupported type: %v", valueType))
}
result, err := sqltypes.ValueFromBytes(valueType, numberAsBytes)
if err != nil {
panic(fmt.Sprintf("sqltypes.ValueFromBytes failed with: %v", err))
}
return result
}
// ratExponent returns the power of ten that x would display in scientific notation.
func ratExponent(x *big.Rat) int {
if x.Sign() < 0 {
x.Neg(x)
}
e := 0
invert := false
if x.Num().Cmp(x.Denom()) < 0 {
invert = true
x.Inv(x)
e++
}
for x.Cmp(bigRatBillion) >= 0 {
e += 9
x.Quo(x, bigRatBillion)
}
for x.Cmp(bigRatTen) > 0 {
e++
x.Quo(x, bigRatTen)
}
if invert {
return -e
}
return e
}
// See https://en.wikipedia.org/wiki/Farey_sequence
// The value of the new term in between neighbours 2/5 and 3/7 is found by
// computing the mediant of those neighbours. We can take result to be the next
// left-hand neighbour of 3/7 iteratively until the denominator reaches 1e6.
func mediant(x, y *big.Rat) *big.Rat {
num := new(big.Int).Add(x.Num(), y.Num())
denom := new(big.Int).Add(x.Denom(), y.Denom())
return new(big.Rat).SetFrac(num, denom)
}
// normalizeRatConst returns the smallest constant representation
// for the specific value of x; either an int64, *big.Int value,
// or *big.Rat value.
//
func normalizeRatConst(x *big.Rat) interface{} {
if x.IsInt() {
return normalizeIntConst(x.Num())
}
return x
}
// Creates a new fraction from a rational number (big.Rat)
func NewFractionFromRat(rat *big.Rat) *Fraction {
// Ignore error since *big.Rat denom can't be 0
frac, _ := NewFraction(rat.Num().Int64(), rat.Denom().Int64())
return frac
}
func savePiState(iteration int, sum *big.Rat) {
file, _ := os.OpenFile("pi_cache", os.O_WRONLY|os.O_CREATE, 400)
enc := json.NewEncoder(file)
enc.Encode(PiState{iteration, sum.Num().String(), sum.Denom().String()})
file.Close()
}
func normFloat(x *big.Rat) Value {
if x.IsInt() {
return normInt(x.Num())
}
return floatVal{x}
}
// Sqrt returns a new Currency value y = sqrt(c). Result is rounded down to the
// nearest integer.
func (x Currency) Sqrt() (c Currency) {
f, _ := new(big.Rat).SetInt(&x.i).Float64()
sqrt := new(big.Rat).SetFloat64(math.Sqrt(f))
c.i.Div(sqrt.Num(), sqrt.Denom())
return
}
func (f *frac) fromRat(r *big.Rat) {
*f.Numerator = int32(r.Num().Int64())
*f.Denominator = int32(r.Denom().Int64())
}