ocean.math.Math

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Functions

abs real abs(real x)
long abs(long x)
int abs(int x)
deprecated real abs(creal z)
deprecated real abs(ireal y): Calculates the absolute value
acos real acos(real x): Calculates the arc cosine of x, returning a value ranging from 0 to π.
acos deprecated creal acos(creal z): Complex inverse cosine
acosh real acosh(real x): Calculates the inverse hyperbolic cosine of x.
asin real asin(real x): Calculates the arc sine of x, returning a value ranging from -π/2 to π/2.
asin deprecated creal asin(creal z): Complex inverse sine
asinh real asinh(real x): Calculates the inverse hyperbolic sine of x.
atan real atan(real x): Calculates the arc tangent of x, returning a value ranging from -π/2 to π/2.
atan2 real atan2(real y, real x): Calculates the arc tangent of y / x, returning a value ranging from -π to π.
atanPi real atanPi(real x): Sine, cosine, and arctangent of multiple of π
atanh real atanh(real x)
deprecated creal atanh(ireal y)
deprecated creal atanh(creal z): Calculates the inverse hyperbolic tangent of x, returning a value from ranging from -1 to 1.
cbrt real cbrt(real x): Calculates the cube root of x.
ceil real ceil(real x): Returns the value of x rounded upward to the next integer (toward positive infinity).
conj deprecated creal conj(creal z)
deprecated ireal conj(ireal y): Complex conjugate
cos real cos(real x): Returns cosine of x. x is in radians.
cos deprecated creal cos(creal z)
deprecated real cos(ireal y): cosine, complex and imaginary
cosPi real cosPi(real x): Sine, cosine, and arctangent of multiple of π
cosh real cosh(real x): Calculates the hyperbolic cosine of x.
cosh deprecated creal cosh(creal z)
deprecated real cosh(ireal y): hyperbolic cosine, complex and imaginary
divRoundEven T divRoundEven(T a, T b): Does an integer division, rounding towards the nearest integer. Rounds to the even one if both integers are equal near.
exp real exp(real x): Calculates e$(SUP x).
exp deprecated creal exp(ireal y)
deprecated creal exp(creal z): Exponential, complex and imaginary
exp2 real exp2(real x): Calculates 2$(SUP x).
expm1 real expm1(real x): Calculates the value of the natural logarithm base (e) raised to the power of x, minus 1.
floor real floor(real x): Returns the value of x rounded downward to the next integer (toward negative infinity).
hypot real hypot(real x, real y): Calculates the length of the hypotenuse of a right-angled triangle with sides of length x and y. The hypotenuse is the value of the square root of the sums of the squares of x and y:
log real log(real x): Calculate the natural logarithm of x.
log deprecated creal log(creal z): Natural logarithm, complex
log10 real log10(real x): Calculate the base-10 logarithm of x.
log1p real log1p(real x): Calculates the natural logarithm of 1 + x.
log2 real log2(real x): Calculates the base-2 logarithm of x: log₂x
max minmaxtype!(T) max(T arg): Return the maximum of the supplied arguments.
maxNaN real maxNaN(real x, real y): Returns the maximum of x and y, favouring NaNs over numbers
maxNum real maxNum(real x, real y): Returns the maximum number of x and y, favouring numbers over NaNs.
min minmaxtype!(T) min(T arg): Return the minimum of the supplied arguments.
minNaN real minNaN(real x, real y): Returns the minimum of x and y, favouring NaNs over numbers
minNum real minNum(real x, real y): Returns the minimum number of x and y, favouring numbers over NaNs.
poly T poly(T x, T[] A): Evaluate polynomial A(x) = a₀ + a₁x + a₂x² + a₃x³; ...
pow real pow(real x, uint n)
real pow(real x, int n): Fast integral powers.
pow real pow(real x, real y): Calculates x$(SUP y).
pow ulong pow(ulong base, ulong power): Integer pow function. Returns the power'th power of base
rationalPoly T rationalPoly(T x, T[] numerator, T[] denominator): Undocumented in source. Be warned that the author may not have intended to support it.
rndint int rndint(real x)
rndlong long rndlong(real x): Rounds x to the nearest int or long.
rndlong (from ocean.math.Math) long rndlong(real x) via public import ocean.math.Math : rndlong;: Rounds x to the nearest int or long.
round real round(real x): Return the value of x rounded to the nearest integer. If the fractional part of x is exactly 0.5, the return value is rounded to the even integer.
sin real sin(real x): Returns sine of x. x is in radians.
sin deprecated creal sin(creal z)
deprecated ireal sin(ireal y): sine, complex and imaginary
sinPi real sinPi(real x): Sine, cosine, and arctangent of multiple of π
sinh real sinh(real x): Calculates the hyperbolic sine of x.
sinh deprecated creal sinh(creal z)
deprecated ireal sinh(ireal y): hyperbolic sine, complex and imaginary
sqrt float sqrt(float x): Compute square root of x.
sqrt double sqrt(double x): Undocumented in source. Be warned that the author may not have intended to support it.
sqrt real sqrt(real x): Undocumented in source. Be warned that the author may not have intended to support it.
sqrt deprecated creal sqrt(creal z): Compute square root of x.
tan real tan(real x): Returns tangent of x. x is in radians.
tanh real tanh(real x): Calculates the hyperbolic tangent of x.
trunc real trunc(real x): Returns the integer portion of x, dropping the fractional portion.

Static variables

E real E;: e
EULERGAMMA real EULERGAMMA;: Euler-Mascheroni constant 0.57721566..
LN10 real LN10;: ln 10
LN2 real LN2;: ln 2
LOG10E real LOG10E;: log₁₀e
LOG2 real LOG2;: log₁₀2
LOG2E real LOG2E;: log₂e
LOG2T real LOG2T;: log₂10
MAXLOG real MAXLOG;: log(real.max)
MINLOG real MINLOG;: log(real.min*real.epsilon)
M_1_PI real M_1_PI;: 1 / π
M_2_PI real M_2_PI;: 2 / π
M_2_SQRTPI real M_2_SQRTPI;: 2 / √π
PI real PI;: $(_PI)
PI_2 real PI_2;: π / 2
PI_4 real PI_4;: π / 4
SQRT1_2 real SQRT1_2;: √$(HALF)
SQRT2 real SQRT2;: √2

ocean.math.Math

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