<< Click to Display Table of Contents >> Analytic Functions |
The following analytic functions are supported by FlexPDE:
Function |
Comments |
ABS(x) |
Absolute value |
ARCCOS(x) |
Inverse cosine (returns radians) |
ARCSIN(x) |
Inverse sine (returns radians) |
ARCTAN(x) |
Inverse tangent (returns radians) |
ATAN2(y,x) |
Arctan(y/x) with numerically safe implementation* |
ATAN2V6(y,x) |
Arctan(y/x) with numerically safe implementation* |
BESSI(order,x) |
Modified Bessel function I for real x |
BESSJ(order,x) |
Bessel Function J |
BESSK(order,x) |
Modified Bessel function K for real x |
BESSY(order,x) |
Bessel Function Y |
COS(x) |
Cosine of x (angle in radians)** |
COSH(x) |
Hyperbolic cosine of x (angle in radians)** |
COTH(x) |
Hyperbolic cotangent of x (angle in radians)** |
CSCH(x) |
Hyperbolic cosecant of x (angle in radians)** |
ERF(x) |
Error Function |
ERFC(x) |
Complementary Error Function |
EXP(x) |
Exponential function |
EXPINT(x) |
Exponential Integral Ei(x) for real x>0 *** |
EXPINT(n,x) |
Exponential Integral En(x) for n>=0, real x>0 *** |
GAMMAF(x) |
Gamma function for real x>0 |
GAMMAF(a,x) |
Incomplete gamma function for real a>0, x>0 |
LOG10(x) |
Base-10 logarithm |
LN(x) |
Natural logarithm |
SECH(x) |
Hyperbolic secant of x (angle in radians)** |
SIN(x) |
Sine of x (angle in radians)** |
SINH(x) |
Hyperbolic sine of x (angle in radians)** |
SQRT(x) |
Square Root |
TAN(x) |
Tangent of x (angle in radians)** |
TANH(x) |
Hyperbolic tangent |
* Note that in version 7 the definition has changed to use the standard range of -π to π. ATAN2V6 is provided for compatibility with old behavior.
** If working with degrees, use TORADIANS(x) to convert arguments from degrees to radians.
*** as defined in Abramowitz & Stegun, "Handbook of Mathematical Functions".
Examples:
Samples | Usage | Functions | Standard_Functions.pde