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 index of project tkmath

Module tkmath

Synopsis

Functions

Classes


Description:
 
Function absd
Returns double precision absolute number
Signature
absd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublepositive scalar value

 
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Function absf
Returns single precision absolute number
Signature
absf(floata)
 :float
Arguments
floatascalar value
Returns
floatpositive scalar value

 
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Function acoscd
Returns complex acos(a)
Signature
acoscd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function acoscf
Returns complex acos(a)
Signature
acoscf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function acosd
Calculate double precision acos(a)
Signature
acosd(Doublea)
 :Double
Arguments
Doubleascalar value from -1 to 1
Returns
Doublescalar value from 0 to π

 
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Function acosf
Calculate single precision acos(a)
Signature
acosf(floata)
 :float
Arguments
floatascalar value from -1 to 1
Returns
floatscalar value from 0 to π

 
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Function acoshcd
Returns complex acosh(a)
Signature
acoshcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function acoshcf
Returns complex acosh(a)
Signature
acoshcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function acoshd
Calculate double precision acosh(a)
Signature
acoshd(Doublea)
 :Double
Arguments
Doubleascalar value with a>=1.0
Returns
Doublescalar value >=0

 
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Function acoshf
Calculate single precision acosh(a)
Signature
acoshf(floata)
 :float
Arguments
floatascalar value with a>=1.0
Returns
floatscalar value >=0

 
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Function asincd
Returns complex asin(a)
Signature
asincd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function asincf
Returns complex asin(a)
Signature
asincf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function asind
Calculate double precision asin(a)
Signature
asind(Doublea)
 :Double
Arguments
Doubleascalar value from -1 to 1
Returns
Doublea scalar value from -π/2 to π/2

 
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Function asinf
Calculate single precision asin(a)
Signature
asinf(floata)
 :float
Arguments
floatascalar value from -1 to 1
Returns
floata scalar value from -π/2 to π/2

 
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Function asinhcd
Returns complex asinh(a)
Signature
asinhcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function asinhcf
Returns complex asinh(a)
Signature
asinhcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function asinhd
Calculate double precision asinh(a)
Signature
asinhd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value

 
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Function asinhf
Calculate single precision asinh(a)
Signature
asinhf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value

 
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Function atan2d
Calculate double precision atan(a/b), does not throw an exception when b is zero,
Signature
atan2d(Doublea,
  Doubleb 
  )  
 :Double
Arguments
Doubleascalar value
Doublebscalar value
Returns
Doublescalar value from -π to π
Description
returns in range -π<result<π

 
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Function atan2f
Calculate single precision atan(a/b), does not throw an exception when b is zero (but when a==b==0),
Signature
atan2f(floata,
  floatb 
  )  
 :float
Arguments
floatascalar value
floatbscalar value
Returns
floatscalar value from -π to π
Description
returns in range -π<result<π

 
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Function atancd
Returns complex atan(a)
Signature
atancd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function atancf
Returns complex atan(a)
Signature
atancf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function atand
Calculate double precision atan(a)
Signature
atand(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value from -π/2 to π/2

 
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Function atanf
Calculate single precision atan(a)
Signature
atanf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value from -π/2 to π/2

 
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Function atanhcd
Returns complex atanh(a)
Signature
atanhcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function atanhcf
Returns complex atanh(a)
Signature
atanhcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function atanhd
Calculate double precision atanh(a)
Signature
atanhd(Doublea)
 :Double
Arguments
Doubleascalar value from -1 to 1
Returns
Doublescalar value

 
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Function atanhf
Calculate single precision atanh(a)
Signature
atanhf(floata)
 :float
Arguments
floatascalar value from -1 to 1
Returns
floatscalar value

 
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Function ceild
Returns next natural value to a
Signature
ceild(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value

 
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Function ceilf
Returns next natural value to a
Signature
ceilf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value

 
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Function complexd
Returns new instance with values x=a and y=b of (x+iy)
Signature
complexd(Doublea,
  Doubleb 
  )  
 :Complexd
Arguments
Doubleanew x value
Doublebnew y value
Returns
Complexdnew instance of Complexd (x+iy)

 
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Function complexf
Returns new instance with values x=a and y=b of (x+iy)
Signature
complexf(floata,
  floatb 
  )  
 :Complexf
Arguments
floatanew x value
floatbnew y value
Returns
Complexfnew instance of Complexf (x+iy)

 
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Function complexfPolar
Returns new instance with values r=va and a=vb of (reia)
Signature
complexfPolar(Doubleva,
  Doublevb 
  )  
 :Complexd
Arguments
Doublevanew r value
Doublevbnew a value
Returns
Complexdnew instance of Complexd (reia)

 
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Function complexfPolar
Returns new instance with values r=va and a=vb of (reia)
Signature
complexfPolar(floatva,
  floatvb 
  )  
 :Complexf
Arguments
floatvanew r value
floatvbnew a value
Returns
Complexfnew instance of Complexf (reia)

 
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Function coscd
Returns complex cos(a)
Signature
coscd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function coscf
Returns complex cos(a)
Signature
coscf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function cosd
Calculate double precision cos(a)
Signature
cosd(Doublea)
 :Double
Arguments
Doubleascalar value in radians
Returns
Doublescalar value from -1 to 1

 
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Function cosf
Calculate single precision cos(a)
Signature
cosf(floata)
 :float
Arguments
floatascalar value in radians
Returns
floatscalar value from -1 to 1

 
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Function coshcd
Returns complex cosh(a)
Signature
coshcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function coshcf
Returns complex cosh(a)
Signature
coshcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function coshd
Calculate double precision cosh(a)
Signature
coshd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value >1

 
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Function coshf
Calculate single precision cosh(a)
Signature
coshf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value >1

 
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Function exp10d
Returns 10a
Signature
exp10d(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublepositive scalar value

 
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Function exp10f
Returns 10a
Signature
exp10f(floata)
 :float
Arguments
floatascalar value
Returns
floatpositive scalar value

 
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Function exp2d
Returns 2a
Signature
exp2d(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublepositive scalar value

 
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Function exp2f
Returns 2a
Signature
exp2f(floata)
 :float
Arguments
floatascalar value
Returns
floatpositive scalar value

 
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Function expcd
Returns complex ea
Signature
expcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function expcf
Returns complex ea
Signature
expcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function expd
Returns ea
Signature
expd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublepositive scalar value

 
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Function expf
Returns ea
Signature
expf(floata)
 :float
Arguments
floatascalar value
Returns
floatpositive scalar value

 
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Function floord
Returns previous natural value to a
Signature
floord(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value

 
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Function floorf
Returns previous natural value to a
Signature
floorf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value

 
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Function hypotd
Calculate double precision length of hypotenuse
Signature
hypotd(Doublea,
  Doubleb 
  )  
 :Double
Arguments
Doubleascalar value
Doublebscalar value
Returns
Doublescalar value

 
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Function hypotf
Calculate single precision length of hypotenuse
Signature
hypotf(floata,
  floatb 
  )  
 :float
Arguments
floatascalar value
floatbscalar value
Returns
floatscalar value

 
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Function log10d
Returns log10(a)
Signature
log10d(Doublea)
 :Double
Arguments
Doubleapositive scalar value without zero (a>0)
Returns
Doublescalar value

 
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Function log10f
Returns log10(a)
Signature
log10f(floata)
 :float
Arguments
floatapositive scalar value without zero (a>0)
Returns
floatscalar value

 
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Function log2d
Returns log2(a)
Signature
log2d(Doublea)
 :Double
Arguments
Doubleapositive scalar value without zero (a>0)
Returns
Doublescalar value

 
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Function log2f
Returns log2(a)
Signature
log2f(floata)
 :float
Arguments
floatapositive scalar value without zero (a>0)
Returns
floatscalar value

 
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Function logcd
Returns complex log(a)
Signature
logcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function logcf
Returns complex log(a)
Signature
logcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function logd
Returns log(a)
Signature
logd(Doublea)
 :Double
Arguments
Doubleapositive scalar value without zero (a>0)
Returns
Doublescalar value

 
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Function logf
Returns log(a)
Signature
logf(floata)
 :float
Arguments
floatapositive scalar value without zero (a>0)
Returns
floatscalar value

 
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Function matrix2d
Initialise and return new instance of Matrix2d
Signature
matrix2d(Doubleva,
  Doublevb,
  Doublevc,
  Doublevd 
  )  
 :Matrix2d
Arguments
Doublevavalue for a
Doublevbvalue for b
Doublevcvalue for c
Doublevdvalue for d
Returns
Matrix2dnew instance of Matrix2d

 
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Function matrix2f
Initialise and return new instance of Matrix2f
Signature
matrix2f(floatva,
  floatvb,
  floatvc,
  floatvd 
  )  
 :Matrix2f
Arguments
floatvavalue for a
floatvbvalue for b
floatvcvalue for c
floatvdvalue for d
Returns
Matrix2fnew instance of Matrix2f

 
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Function matrix3d
Initialise and return new instance of Matrix3d
Signature
matrix3d(Doubleva,
  Doublevb,
  Doublevc,
  Doublevd,
  Doubleve,
  Doublevf,
  Doublevg,
  Doublevh,
  Doublevi 
  )  
 :Matrix3d
Arguments
Doublevavalue for a
Doublevbvalue for b
Doublevcvalue for c
Doublevdvalue for d
Doublevevalue for e
Doublevfvalue for f
Doublevgvalue for g
Doublevhvalue for h
Doublevivalue for i
Returns
Matrix3dnew instance of Matrix3d

 
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Function matrix3f
Initialise and return new instance of Matrix3f
Signature
matrix3f(floatva,
  floatvb,
  floatvc,
  floatvd,
  floatve,
  floatvf,
  floatvg,
  floatvh,
  floatvi 
  )  
 :Matrix3f
Arguments
floatvavalue for a
floatvbvalue for b
floatvcvalue for c
floatvdvalue for d
floatvevalue for e
floatvfvalue for f
floatvgvalue for g
floatvhvalue for h
floatvivalue for i
Returns
Matrix3fnew instance of Matrix3f

 
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Function matrix4d
Initialise from an array and return new instance of Matrix4d
Signature
matrix4d(Objecto)
 :Matrix4d
Arguments
Objectoarray with values
Returns
Matrix4dnew instance of Matrix4d

 
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Function matrix4f
Initialise from an array and return new instance of Matrix4f
Signature
matrix4f(Objecto)
 :Matrix4f
Arguments
Objectoarray with values
Returns
Matrix4fnew instance of Matrix4f

 
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Function modd
Returns remainder of a/b
Signature
modd(Doublea,
  Doubleb 
  )  
 :Double
Arguments
Doubleascalar value
Doublebscalar value with b!=0
Returns
Doublescalar value

 
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Function modf
Returns remainder of a/b
Signature
modf(floata,
  floatb 
  )  
 :float
Arguments
floatascalar value
floatbscalar value with b!=0
Returns
floatscalar value

 
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Function powcd
Returns complex ab
Signature
powcd(Complexda,
  Complexdb 
  )  
 :Complexd
Arguments
Complexdacomplex number
Complexdbcomplex number
Returns
Complexdcomplex number

 
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Function powcf
Returns complex ab
Signature
powcf(Complexfa,
  Complexfb 
  )  
 :Complexf
Arguments
Complexfacomplex number
Complexfbcomplex number
Returns
Complexfcomplex number

 
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Function powd
Returns ab
Signature
powd(Doublea,
  Doubleb 
  )  
 :Double
Arguments
Doubleascalar value
Doublebscakar value
Returns
Doublescalar value

 
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Function powf
Returns ab
Signature
powf(floata,
  floatb 
  )  
 :float
Arguments
floatascalar value
floatbscakar value
Returns
floatscalar value

 
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Function quaterniond
Init quaternion to a+ib+jc+kd and return new instance
Signature
quaterniond(Doublea,
  Doubleb,
  Doublec,
  Doubled 
  )  
 :Quaterniond
Arguments
Doubleanew real value
Doublebnew i value
Doublecnew j value
Doublednew k value
Returns

 
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Function quaternionf
Init quaternion to a+ib+jc+kd and return new instance
Signature
quaternionf(floata,
  floatb,
  floatc,
  floatd 
  )  
 :Quaternionf
Arguments
floatanew real value
floatbnew i value
floatcnew j value
floatdnew k value
Returns

 
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Function relCmpd
Do a fast relative comparison of Double values
Signature
relCmpd(Doublea,
  Doubleb 
  )  
 :int
Arguments
Doubleafirst value
Doublebsecond value
Returns
int0 if equal, -1 if smaller or 1 if bigger, -2 on error

 
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Function relCmpf
Do a fast relative comparison of float values
Signature
relCmpf(floata,
  floatb 
  )  
 :int
Arguments
floatafirst value
floatbsecond value
Returns
int0 if equal, -1 if smaller or 1 if bigger

 
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Function relErrCmpd
Does a relative comparison given a certain error range of Double values.
Signature
relErrCmpd(Doublea,
  Doubleb,
  Doubleerr 
  )  
 :int
Arguments
Doubleafirst value
Doublebsecond value
Doubleerrrelative error to tolerate for being considered as equal, if zero default is used
Returns
int0 if equal, -1 if smaller or 1 if bigger, -2 on error
Description
If both values are nonzero, equal means it fullfulls fabs(a-b)/fabs(a)<=err, else it fullfills fabs(nonzero(a,b))<=err.

 
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Function relErrCmpf
Does a relative comparison given a certain error range of float values.
Signature
relErrCmpf(floata,
  floatb,
  floaterr 
  )  
 :int
Arguments
floatafirst value
floatbsecond value
floaterrrelative error to tolerate for being considered as equal, if zero default is used
Returns
int0 if equal, -1 if smaller or 1 if bigger, -2 on error
Description
If both values are nonzero, equal means it fullfills fabs(a-b)/fabs(a)<=err, else it fullfills fabs(nonzero(a,b))<=err.

 
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Function roundd
Returns rounded value
Signature
roundd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value

 
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Function roundf
Returns rounded value
Signature
roundf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value

 
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Function sincd
Returns complex sin(a)
Signature
sincd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function sincf
Returns complex sin(a)
Signature
sincf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function sind
Calculate double precision sin(a)
Signature
sind(Doublea)
 :Double
Arguments
Doubleascalar value in radians
Returns
Doublescalar value from -1 to 1

 
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Function sinf
Calculate single precision sin(a)
Signature
sinf(floata)
 :float
Arguments
floatascalar value in radians
Returns
floatscalar value from -1 to 1

 
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Function sinhcd
Returns complex sinh(a)
Signature
sinhcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function sinhcf
Returns complex sinh(a)
Signature
sinhcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function sinhd
Calculate double precision sinh(a)
Signature
sinhd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value

 
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Function sinhf
Calculate single precision sinh(a)
Signature
sinhf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value

 
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Function sqrtcd
Returns complex double precision √a
Signature
sqrtcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function sqrtcf
Returns complex single precision √a
Signature
sqrtcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function sqrtd
Returns √a
Signature
sqrtd(Doublea)
 :Double
Arguments
Doubleapositive scalar value
Returns
Doublepositive scalar value

 
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Function sqrtf
Returns √a
Signature
sqrtf(floata)
 :float
Arguments
floatapositive scalar value
Returns
floatpositive scalar value

 
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Function tancf
Returns complex tan(a)
Signature
tancf(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function tancf
Returns complex tan(a)
Signature
tancf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function tand
Calculate double precision tan(a)
Signature
tand(Doublea)
 :Double
Arguments
Doubleascalar value in radians
Returns
Doublescalar value

 
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Function tanf
Calculate single precision tan(a)
Signature
tanf(floata)
 :float
Arguments
floatascalar value in radians
Returns
floatscalar value

 
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Function tanhcd
Returns complex tanh(a)
Signature
tanhcd(Complexda)
 :Complexd
Arguments
Complexdacomplex number
Returns
Complexdcomplex number

 
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Function tanhcf
Returns complex tanh(a)
Signature
tanhcf(Complexfa)
 :Complexf
Arguments
Complexfacomplex number
Returns
Complexfcomplex number

 
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Function tanhd
Calculate double precision tanh(a)
Signature
tanhd(Doublea)
 :Double
Arguments
Doubleascalar value
Returns
Doublescalar value from -1 to 1

 
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Function tanhf
Calculate single precision tanh(a)
Signature
tanhf(floata)
 :float
Arguments
floatascalar value
Returns
floatscalar value from -1 to 1

 
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Function vector2d
Initialise and return new Vector2d instance with x=a and y=b
Signature
vector2d(Doublea,
  Doubleb 
  )  
 :Vector2d
Arguments
Doubleanew x value
Doublebnew y value
Returns
Vector2dnew Vector2d instance

 
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Function vector2f
Initialise and return new Vector2f instance with x=a and y=b
Signature
vector2f(floata,
  floatb 
  )  
 :Vector2f
Arguments
floatanew x value
floatbnew y value
Returns
Vector2fnew Vector2f instance

 
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Function vector3d
Initialise and return new Vector3d instance with x=a, y=b and z=c
Signature
vector3d(Doublea,
  Doubleb,
  Doublec 
  )  
 :Vector3d
Arguments
Doubleanew x value
Doublebnew y value
Doublecnew z value
Returns

 
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Function vector3f
Initialise and return new Vector3f instance with x=a, y=b and z=c
Signature
vector3f(floata,
  floatb,
  floatc 
  )  
 :Vector3f
Arguments
floatanew x value
floatbnew y value
floatcnew z value
Returns

 
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Function vector4d
Initialise and return new Vector4d instance with x=a, y=b, z=c and w=d
Signature
vector4d(Doublea,
  Doubleb,
  Doublec,
  Doubled 
  )  
 :Vector4d
Arguments
Doubleanew x value
Doublebnew y value
Doublecnew z value
Doublednew w value
Returns

 
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Function vector4f
Initialise and return new Vector4f instance with x=a, y=b, z=c and w=d
Signature
vector4f(floata,
  floatb,
  floatc,
  floatd 
  )  
 :Vector4f
Arguments
floatanew x value
floatbnew y value
floatcnew z value
floatdnew w value
Returns

 
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Project Modules:tkmath 
Project Classes:Complexd , Complexf , Math , Matrix , Matrix2d , Matrix2f , Matrix3d , Matrix3f , Matrix4d , Matrix4f , Quaterniond , Quaternionf , Vector2d , Vector2f , Vector3d , Vector3f , Vector4d , Vector4f 
Project Functions:absd , absf , acoscd , acoscf , acosd , acosf , acoshcd , acoshcf , acoshd , acoshf , asincd , asincf , asind , asinf , asinhcd , asinhcf , asinhd , asinhf , atan2d , atan2f , atancd , atancf , atand , atanf , atanhcd , atanhcf , atanhd , atanhf , ceild , ceilf , complexd , complexf , complexfPolar , complexfPolar , coscd , coscf , cosd , cosf , coshcd , coshcf , coshd , coshf , exp10d , exp10f , exp2d , exp2f , expcd , expcf , expd , expf , floord , floorf , hypotd , hypotf , log10d , log10f , log2d , log2f , logcd , logcf , logd , logf , matrix2d , matrix2f , matrix3d , matrix3f , matrix4d , matrix4f , modd , modf , powcd , powcf , powd , powf , quaterniond , quaternionf , relCmpd , relCmpf , relErrCmpd , relErrCmpf , roundd , roundf , sincd , sincf , sind , sinf , sinhcd , sinhcf , sinhd , sinhf , sqrtcd , sqrtcf , sqrtd , sqrtf , tancf , tancf , tand , tanf , tanhcd , tanhcf , tanhd , tanhf , vector2d , vector2f , vector3d , vector3f , vector4d , vector4f 
All Namespaces:default , ui 
All Projects:core , debugtext , tkfreetype2 , tkmath , tkmidi , tkopengl , tkportaudio , tksdl , tkui , tkunit 


 
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