dart_numerics library

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Constants

catalan → const double
The Catalan constant [...]
0.9159655941772190150546035149323841107741493742816721342664981196217630197762547694794
degree → const double
The number (pi)/180 - factor to convert from Degree (deg) to Radians (rad).
0.017453292519943295769236907684886127134428718885417
doubleWidth → const int
The number of binary digits used to represent the binary number for a double precision floating point value. i.e. there are this many digits used to represent the actual number, where in a number as: 0.134556 * 10^5 the digits are 0.134556 and the exponent is 5.
53
e → const double
The number e
2.7182818284590452353602874713526624977572470937000
eulerMascheroni → const double
The Euler-Mascheroni constant [...]
0.5772156649015328606065120900824024310421593359399235988057672348849
glaisher → const double
The Glaisher constant [...]
1.2824271291006226368753425688697917277676889273250011920637400217404063088588264611297
goldenRatio → const double
The number (1+sqrt(5))/2, also known as the golden ratio
1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072
grad → const double
The number (pi)/200 - factor to convert from NewGrad (grad) to Radians (rad).
0.015707963267948966192313216916397514420985846996876
halfSqrt3 → const double
The number sqrt(3)/2
0.86602540378443864676372317075293618347140262690520
invE → const double
The number 1/e
0.36787944117144232159552377016146086744581113103176
invPi → const double
The number 1/pi
0.31830988618379067153776752674502872406891929148091
invSqrt2Pi → const double
The number 1/sqrt(2pi)
0.39894228040143267793994605993438186847585863116492
invSqrtPi → const double
The number 1/sqrt(pi)
0.56418958354775628694807945156077258584405062932899
khinchin → const double
The Khinchin constant [...]
2.6854520010653064453097148354817956938203822939944629530511523455572188595371520028011
ln2 → const double
The number loge
0.69314718055994530941723212145817656807550013436026
ln2PiOver2 → const double
The number loge/2
0.91893853320467274178032973640561763986139747363780
ln10 → const double
The number loge
2.3025850929940456840179914546843642076011014886288
lnPi → const double
The number loge
1.1447298858494001741434273513530587116472948129153
log2E → const double
The number log2
1.4426950408889634073599246810018921374266459541530
log10E → const double
The number log10
0.43429448190325182765112891891660508229439700580366
logSqrt2PiE → const double
The number log(sqrt(2pie))
1.4189385332046727417803297364056176398613974736378
logTwoSqrtEOverPi → const double
The number log(2 * sqrt(e / pi))
0.6207822376352452223455184457816472122518527279025978
neutralDecibel → const double
The number ln(10)/10 - factor to convert from Neutral Decibel (dB) to Neper (Np). Use this version when either both or neither of the Decibel and the compared values represent powers.
0.23025850929940456840179914546843642076011014886288
pi → const double
The number pi
3.1415926535897932384626433832795028841971693993751
pi2 → const double
The number pi*2
6.2831853071795864769252867665590057683943387987502
pi3Over2 → const double
The number pi*3/2
4.71238898038468985769396507491925432629575409906266
piOver2 → const double
The number pi/2
1.5707963267948966192313216916397514420985846996876
piOver4 → const double
The number pi/4
0.78539816339744830961566084581987572104929234984378
powerDecibel → const double
The number ln(10)/20 - factor to convert from Power Decibel (dB) to Neper (Np). Use this version when the Decibel represent a power gain but the compared values are not powers (e.g. amplitude, current, voltage).
0.11512925464970228420089957273421821038005507443144
sogSqrt2Pi → const double
The number log(sqrt(2*pi))
0.91893853320467274178032973640561763986139747363778
sqrt1Over2 → const double
The number sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2
0.70710678118654752440084436210484903928483593768845
sqrt2 → const double
The number sqrt(2)
1.4142135623730950488016887242096980785696718753769
sqrt2Pi → const double
The number sqrt(2pi)
2.5066282746310005024157652848110452530069867406099
sqrt2PiE → const double
The number sqrt(2pie)
4.1327313541224929384693918842998526494455219169913
sqrt3 → const double
The number sqrt(3)
1.7320508075688772935274463415058723669428052538104
sqrtE → const double
The number sqrt(e)
1.6487212707001281468486507878141635716537761007101
sqrtPi → const double
The number sqrt(pi)
1.7724538509055160272981674833411451827975494561224
twoInvPi → const double
The number 2/pi
0.63661977236758134307553505349005744813783858296182
twoInvSqrtPi → const double
The number 2/sqrt(pi)
1.1283791670955125738961589031215451716881012586580
twoSqrtEOverPi → const double
The number 2 * sqrt(e / pi)
1.8603827342052657173362492472666631120594218414085755

Properties

doubleDecimalPlaces → int
The number of significant decimal places of double-precision floating numbers (64 bit).
final
doublePrecision → double
Standard epsilon, the maximum relative precision of IEEE 754 double-precision floating numbers (64 bit). [...]
final
machineEpsilon → double
Actual double precision machine epsilon, the smallest number that can be subtracted from 1, yielding a results different than 1. [...]
final
positiveDoublePrecision → double
Standard epsilon, the maximum relative precision of IEEE 754 double-precision floating numbers (64 bit).
final
positiveMachineEpsilon → double
Actual double precision machine epsilon, the smallest number that can be added to 1, yielding a results different than 1. [...]
final

Functions

acos(double adjacent) → double
Trigonometric principal Arc Cosine in radian.
acosh(double value) → double
Hyperbolic Area Cosine.
acot(double adjacent) → double
Trigonometric principal Arc Cotangent in radian.
acoth(double value) → double
Hyperbolic Area Cotangent.
acsc(double hypotenuse) → double
Trigonometric principal Arc Cosecant in radian.
acsch(double value) → double
Hyperbolic Area Cosecant.
almostEqual(double a, double b) → bool
Checks whether two double numbers are almost equal.
almostEqualD(double a, double b, double maximumAbsoluteError) → bool
Compares two doubles and determines if they are equal within the specified maximum error.
almostEqualI(double a, double b, int decimals) → bool
Compares two doubles and determines if they are equal within the specified maximum error.
almostEqualNormD(double a, double b, double diff, double maximumAbsoluteError) → bool
Compares two doubles and determines if they are equal within the specified maximum absolute error.
almostEqualNormI(double a, double b, double diff, int decimalPlaces) → bool
Compares two doubles and determines if they are equal to within the specified number of decimal places or not, using the number of decimal places as an absolute measure.
almostEqualNormRelativeD(double a, double b, double diff, double maximumError) → bool
Compares two doubles and determines if they are equal within the specified maximum error.
almostEqualNormRelativeI(double a, double b, double diff, int decimalPlaces) → bool
Compares two doubles and determines if they are equal to within the specified number of decimal places or not. If the numbers are very close to zero an absolute difference is compared, otherwise the relative difference is compared.
almostEqualRelativeD(double a, double b, double maximumError) → bool
Compares two doubles and determines if they are equal within the specified maximum error.
almostEqualRelativeI(double a, double b, int decimalPlaces) → bool
Compares two doubles and determines if they are equal to within the specified number of decimal places or not. If the numbers are very close to zero an absolute difference is compared, otherwise the relative difference is compared.
asec(double hypotenuse) → double
Trigonometric principal Arc Secant in radian.
asech(double value) → double
Hyperbolic Area Secant.
asin(double opposite) → double
Trigonometric principal Arc Sine in radian.
asinh(double value) → double
Hyperbolic Area Sine.
atan(double opposite) → double
Trigonometric principal Arc Tangent in radian
atanh(double value) → double
Hyperbolic Area Tangent.
cos(double radian) → double
Trigonometric Cosine of an angle in radian, or adjacent / hypotenuse.
cosh(double angle) → double
Hyperbolic Cosine.
cot(double radian) → double
Trigonometric Cotangent of an angle in radian, or adjacent / opposite. Reciprocal of the tangent.
coth(double angle) → double
Hyperbolic Cotangent.
csc(double radian) → double
Trigonometric Cosecant of an angle in radian, or hypotenuse / opposite. Reciprocal of the sine.
csch(double angle) → double
Hyperbolic Cosecant.
degreeToGrad(double degree) → double
Converts a degree (360-periodic) angle to a grad (400-periodic) angle.
degreeToRadian(double degree) → double
Converts a degree (360-periodic) angle to a radian (2*Pi-periodic) angle.
gradToDegree(double grad) → double
Converts a grad (400-periodic) angle to a degree (360-periodic) angle.
gradToRadian(double grad) → double
Converts a grad (400-periodic) angle to a radian (2*Pi-periodic) angle.
log10(num x) → double
Converts x to a double and returns the common logarithm of the value. [...]
magnitude(double value) → int
Returns the magnitude of the number.
radianToDegree(double radian) → double
Converts a radian (2*Pi-periodic) angle to a degree (360-periodic) angle.
radianToGrad(double radian) → double
Converts a radian (2*Pi-periodic) angle to a grad (400-periodic) angle.
scaleUnitMagnitude(double value) → double
Returns the number divided by it's magnitude, effectively returning a number between -10 and 10.
sec(double radian) → double
Trigonometric Secant of an angle in radian, or hypotenuse / adjacent. Reciprocal of the cosine.
sech(double angle) → double
Hyperbolic Secant.
sin(double radian) → double
Trigonometric Sine of an angle in radian, or opposite / hypotenuse.
sinc(double x) → double
Normalized Sinc function. sinc(x) = sin(pi*x)/(pi*x).
sinh(double angle) → double
Hyperbolic Sine.
tan(double radian) → double
Trigonometric Tangent of an angle in radian, or opposite / adjacent.
tanh(double angle) → double
Hyperbolic Tangent in radian.