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Basic mathematic functions


Functions

double CTBsqrt (double x)
float CTBsqrt (float x)
double CTBexp (double x)
float CTBexp (float x)
double CTBlog (double x)
float CTBlog (float x)
double CTBlog10 (double x)
float CTBlog10 (float x)
double CTBasin (double x)
float CTBasin (float x)
double CTBacos (double x)
float CTBacos (float x)
double CTBpow (double x, int i_y)
float CTBpow (float x, int i_y)
CTBint CTBilog2 (CTBint ix)
double CTBpythag (double x, double y)
float CTBpythag (float x, float y)
double CTBsin (double x)
float CTBsin (float x)
double CTBcos (double x)
float CTBcos (float x)
double CTBtan (double x)
float CTBtan (float x)
double CTBatan (double x)
float CTBatan (float x)
double CTBacos2 (double y, double x)
float CTBacos2 (float y, float x)
double CTBatan2 (double y, double x)
float CTBatan2 (float y, float x)
double CTBsinh (double x)
float CTBsinh (float x)
double CTBcosh (double x)
float CTBcosh (float x)
double CTBtanh (double x)
float CTBtanh (float x)
double CTBasinh (double x)
float CTBasinh (float x)
double CTBacosh (double x)
float CTBacosh (float x)
double CTBatanh (double x)
float CTBatanh (float x)
double CTBpow (double x, double y)
float CTBpow (float x, float y)
template<class T> T CTBpow2 (T x)
template<class T> T CTBpow3 (T x)
template<class T> T CTBpow4 (T x)
double CTBerf (double x)
float CTBerf (float x)

Function Documentation

double CTBsqrt (  double x ) 
 

Returns sqrt(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x negative.

Definition at line 34 of file CTBmath.cxx.

float CTBsqrt (  float x ) 
 

Returns sqrt(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x negative.

Definition at line 53 of file CTBmath.cxx.

double CTBexp (  double x ) 
 

Returns exp(x).

Exceptions:
CTBexceptioMathRange   Thrown if exp(x) too large a number

Definition at line 72 of file CTBmath.cxx.

float CTBexp (  float x ) 
 

Returns exp(x).

Exceptions:
CTBexceptioMathRange   Thrown if exp(x) too large a number

Definition at line 91 of file CTBmath.cxx.

double CTBlog (  double x ) 
 

Returns log(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x is negative
CTBexceptioMathRange   Thrown if x is zero

Definition at line 111 of file CTBmath.cxx.

float CTBlog (  float x ) 
 

Returns log(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x is negative
CTBexceptioMathRange   Thrown if x is zero

Definition at line 132 of file CTBmath.cxx.

double CTBlog10 (  double x ) 
 

Returns log10(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x is negative
CTBexceptioMathRange   Thrown if x is zero

Definition at line 153 of file CTBmath.cxx.

float CTBlog10 (  float x ) 
 

Returns log10(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x is negative
CTBexceptioMathRange   Thrown if x is zero

Definition at line 174 of file CTBmath.cxx.

double CTBasin (  double x ) 
 

Returns asin(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x out of [-1,+1] .

Definition at line 194 of file CTBmath.cxx.

float CTBasin (  float x ) 
 

Returns asin(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x out of [-1,+1] .

Definition at line 213 of file CTBmath.cxx.

double CTBacos (  double x ) 
 

Returns acos(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x out of [-1,+1] .

Definition at line 232 of file CTBmath.cxx.

float CTBacos (  float x ) 
 

Returns acos(x).

Exceptions:
CTBexceptioMathDomain   Thrown if x out of [-1,+1] .

Definition at line 251 of file CTBmath.cxx.

double CTBpow (  double x,
int i_y
) 
 

Returns x raised to the power of i_y .

Definition at line 267 of file CTBmath.cxx.

float CTBpow (  float x,
int i_y
) 
 

Returns x raised to the power of i_y .

Definition at line 284 of file CTBmath.cxx.

CTBint CTBilog2 (  CTBint ix ) 
 

Returns log_2 of the integer ix or -1 if x not power of 2.

Definition at line 301 of file CTBmath.cxx.

double CTBpythag (  double x,
double y
) 
 

Returns sqrt(x*x+y*y).

Implementation Notes:
A straight forward implementation like sqrt(x*x+y*y) can produce an overflow in the calculation of x*x even though the final result is perfectly in range. This implementation gives correct results for almost the full range of inputs, at the cost of an additional division and a few comparisons.

Definition at line 327 of file CTBmath.cxx.

float CTBpythag (  float x,
float y
) 
 

Returns sqrt(x*x+y*y).

Definition at line 356 of file CTBmath.cxx.

double CTBsin (  double x )  [inline]
 

Returns sin(x).

Definition at line 24 of file CTBmath.icc.

float CTBsin (  float x )  [inline]
 

Returns sin(x).

Definition at line 32 of file CTBmath.icc.

Referenced by sincos().

double CTBcos (  double x )  [inline]
 

Returns cos(x).

Definition at line 40 of file CTBmath.icc.

float CTBcos (  float x )  [inline]
 

Returns cos(x).

Definition at line 48 of file CTBmath.icc.

Referenced by sincos().

double CTBtan (  double x )  [inline]
 

Returns tan(x).

Definition at line 56 of file CTBmath.icc.

float CTBtan (  float x )  [inline]
 

Returns tan(x).

Definition at line 64 of file CTBmath.icc.

double CTBatan (  double x )  [inline]
 

Returns atan(x).

Definition at line 72 of file CTBmath.icc.

float CTBatan (  float x )  [inline]
 

Returns atan(x).

Definition at line 80 of file CTBmath.icc.

double CTBacos2 (  double y,
double x
)  [inline]
 

Returns acos(y/x).

This protected variant of acos is convenient in cartesian to polar coordinate conversions and often used in conjunction with CTBatan2(). It returns:

  • acos(y/x) in case x!=0 and if y/x is in [-1.,+1] .
  • +pi/2 or -pi/2 in case x==0. The sign depends on the sign of y .
  • +pi/2 if y/x is larger than +1.
  • -pi/2 if y/x is smaller than -1.

Definition at line 96 of file CTBmath.icc.

float CTBacos2 (  float y,
float x
)  [inline]
 

Returns acos(y/x).

This protected variant of acos is convenient in cartesian to polar coordinate conversions and often used in conjunction with CTBatan2(). It returns:

  • acos(y/x) in case x!=0 and if y/x is in [-1.,+1] .
  • +pi/2 or -pi/2 in case x==0. The sign depends on the sign of y .
  • +pi/2 if y/x is larger than +1.
  • -pi/2 if y/x is smaller than -1.

Definition at line 115 of file CTBmath.icc.

double CTBatan2 (  double y,
double x
)  [inline]
 

Returns atan2(x).

Definition at line 126 of file CTBmath.icc.

float CTBatan2 (  float y,
float x
)  [inline]
 

Returns atan2(x).

Definition at line 134 of file CTBmath.icc.

double CTBsinh (  double x )  [inline]
 

Returns sinh(x).

Definition at line 142 of file CTBmath.icc.

float CTBsinh (  float x )  [inline]
 

Returns sinh(x).

Definition at line 150 of file CTBmath.icc.

double CTBcosh (  double x )  [inline]
 

Returns cosh(x).

Definition at line 158 of file CTBmath.icc.

float CTBcosh (  float x )  [inline]
 

Returns cosh(x).

Definition at line 166 of file CTBmath.icc.

double CTBtanh (  double x )  [inline]
 

Returns tanh(x).

Definition at line 174 of file CTBmath.icc.

float CTBtanh (  float x )  [inline]
 

Returns tanh(x).

Definition at line 182 of file CTBmath.icc.

double CTBasinh (  double x )  [inline]
 

Returns asinh(x).

Definition at line 190 of file CTBmath.icc.

float CTBasinh (  float x )  [inline]
 

Returns asinh(x).

Definition at line 198 of file CTBmath.icc.

double CTBacosh (  double x )  [inline]
 

Returns acosh(x).

Definition at line 206 of file CTBmath.icc.

float CTBacosh (  float x )  [inline]
 

Returns acosh(x).

Definition at line 214 of file CTBmath.icc.

double CTBatanh (  double x )  [inline]
 

Returns atanh(x).

Definition at line 222 of file CTBmath.icc.

float CTBatanh (  float x )  [inline]
 

Returns atanh(x).

Definition at line 230 of file CTBmath.icc.

double CTBpow (  double x,
double y
)  [inline]
 

Returns x raised to the power of y .

Exceptions:
CTBexceptioMathDomain   Thrown if x negative.

Definition at line 240 of file CTBmath.icc.

float CTBpow (  float x,
float y
)  [inline]
 

Returns x raised to the power of y .

Exceptions:
CTBexceptioMathDomain   Thrown if x negative.

Definition at line 250 of file CTBmath.icc.

template<class T>
T CTBpow2 (  T x )  [inline]
 

Returns the second power of x .

Definition at line 259 of file CTBmath.icc.

Referenced by CTBcomplex::Acos(), CTBcomplex::Acosh(), CTBcomplex::Asin(), and CTBcomplex::Asinh().

template<class T>
T CTBpow3 (  T x )  [inline]
 

Returns the third power of x .

Definition at line 271 of file CTBmath.icc.

template<class T>
T CTBpow4 (  T x )  [inline]
 

Returns the fourth power of x .

Definition at line 283 of file CTBmath.icc.

double CTBerf (  double x )  [inline]
 

Returns erf(x).

Definition at line 295 of file CTBmath.icc.

float CTBerf (  float x )  [inline]
 

Returns erf(x).

Definition at line 303 of file CTBmath.icc.

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