Difference between revisions of "Glossary of EM.Cube's Python Functions"
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| style="width:150px;" !scope="col"| Syntax | | style="width:150px;" !scope="col"| Syntax | ||
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| style="width:350px;" !scope="col"| Description | | style="width:350px;" !scope="col"| Description | ||
| style="width:350px;" !scope="col"| Notes | | style="width:350px;" !scope="col"| Notes | ||
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| atan2(x,y) | | atan2(x,y) | ||
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| Inverse tangent function | | Inverse tangent function | ||
| - | | - |
Revision as of 14:39, 29 August 2016
The table below gives a list of all the currently available library functions in EM.Cube:
Syntax | Type | Description | Notes |
sign(x) | Std. Python function | Sign function | 1 if x>0, -1 if x<0 |
fac(x) | Std. Python function | Factorial | For integer values of x: n! = n(n-1)(n-2)...3.2.1 |
fac2(x) | Std. Python function | Double factorial | For even integer values of x: n!! = n(n-2)(n-4)...4.2, for odd integer values of x: n!! = n(n-2)(n-4)...5.3 |
ceiling(x) | Std. Python function | Ceiling function | Nearest integer >= x |
floor(x) | Std. Python function | Floor function | Nearest integer <= x |
power(x,y) | Std. Python function | Power function | x**y |
sqrt(x) | Std. Python function | Square root function | x^(1/2) |
exp(x) | Std. Python function | Exponential function | e**x |
log(x) | Std. Python function | Natural logarithm function | - |
log10(x) | Std. Python function | Base 10 logarithm function | ln(x)/ln(10) |
log(x,a) | Std. Python function | Base a logarithm function | ln(x)/ln(a) |
abs(x) | Std. Python function | Absolute value function | x if x>0, -x if x<0 |
sin(x) | Std. Python function | Sine function | - |
cos(x) | Std. Python function | Cosine function | - |
tan(x) | Std. Python function | Tangent function | - |
sec(x) | Std. Python function | Secant function | - |
csc(x) | Std. Python function | Cosecant function | - |
cot(x) | Std. Python function | Cotangent function | - |
asin(x) | Std. Python function | Inverse sine function | - |
acos(x) | Std. Python function | Inverse cosine function | - |
atan(x) | Std. Python function | Inverse tangent function | - |
atan2(x,y) | Std. Python function | Inverse tangent function | - |
asec(x) | Std. Python function | Inverse secant function | - |
acsc(x) | Std. Python function | Inverse cosecant function | - |
acot(x) | Std. Python function | Inverse cotangent function | - |
sinh(x) | Std. Python function | Hyperbolic sine function | - |
cosh(x) | Std. Python function | Hyperbolic cosine function | - |
tanh(x) | Std. Python function | Hyperbolic tangent function | - |
sech(x) | Std. Python function | Hyperbolic secant function | - |
csch(x) | Std. Python function | Hyperbolic cosecant function | - |
coth(x) | Std. Python function | Hyperbolic cotangent function | - |
asinh(x) | Std. Python function | Inverse hyperbolic sine function | - |
acosh(x) | Std. Python function | Inverse hyperbolic cosine function | - |
atanh(x) | Std. Python function | Inverse hyperbolic tangent function | - |
asech(x) | Std. Python function | Inverse hyperbolic secant function | - |
acsch(x) | Std. Python function | Inverse hyperbolic cosecant function | - |
acoth(x) | Std. Python function | Inverse hyperbolic cotangent function | - |
Ci(x) | Std. Python function | Cosine integral function | See Trigonometric Integrals on Wikipedia. |
Si(x) | Std. Python function | Sine integral function | See Trigonometric Integrals on Wikipedia. |
C(x) | Std. Python function | Cosine Fresnel integral function | See Fresnel Integrals on Wikipedia. |
S(x) | Std. Python function | Sine Fresnel integral function | See Fresnel Integrals on Wikipedia. |
Ellip_E(x) | Std. Python function | Elliptic function of the first kind | See Elliptic Integrals on Wikipedia. |
Ellip_K(x) | Std. Python function | Elliptic function of the second kind | See Elliptic Integrals on Wikipedia. |
Ei(x) | Std. Python function | Exponential integral function | See Exponential Integrals on Wikipedia. |
En(n,x) | Std. Python function | Generalized exponential integral function of order n | See Exponential Integrals on Wikipedia. |
gauss(x) | Std. Python function | Gaussian function | - |
erf(x) | Std. Python function | Error function | See Error Function on Wikipedia. |
gamma(x) | Std. Python function | Gamma function | See Gamma Function on Wikipedia. |
Airy_A(x) | Std. Python function | Airy function of the first kind | See Airy Functions on Wikipedia. |
Airy_B(x) | Std. Python function | Airy function of the second kind | See Airy Functions on Wikipedia. |
Jn(n,x) | Std. Python function | Bessel function of the first kind and order n | See Bessel Functions on Wikipedia. |
Yn(n,x) | Std. Python function | Bessel function of the second kind and order n | See Bessel Functions on Wikipedia. |
In(n,x) | Std. Python function | Modified Bessel function of the first kind and order n | See Bessel Functions on Wikipedia. |
Kn(n,x) | Std. Python function | Modified Bessel function of the second kind and order n | See Bessel Functions on Wikipedia. |
SB_jn(n,x) | Std. Python function | Spherical Bessel function of the first kind and order n | See Bessel Functions on Wikipedia. |
SB_yn(n,x) | Std. Python function | Spherical Bessel function of the second kind and order n | See Bessel Functions on Wikipedia. |
SB_in(n,x) | Std. Python function | Modified spherical Bessel function of the first kind and order n | See Bessel Functions on Wikipedia. |
SB_kn(n,x) | Std. Python function | Modified spherical Bessel function of the second kind and order n | See Bessel Functions on Wikipedia. |
Pn(n,x) | Std. Python function | Legendre function of the first kind and order n | See Legendre Polynomials on Wikipedia. |
Qn(n,x) | Std. Python function | Legendre function of the second kind and order n | See Legendre Polynomials on Wikipedia. |
Tn(n,x) | Std. Python function | Chebyshev polynomial of the first kind and order n | See Chebyshev Polynomials on Wikipedia. |
Un(n,x) | Std. Python function | Chebyshev polynomial of the second kind and order n | See Chebyshev Polynomials on Wikipedia. |
LGn(n,x) | Std. Python function | Laguerre polynomial of order n | See Laguerre Polynomials on Wikipedia. |
Hn(n,x) | Std. Python function | Hermite polynomial of order n | See Hermite Polynomials on Wikipedia. |
Un(n,x) | Std. Python function | Hermite-Gauss function of order n | - |
Math_ce(n,r,x) | Std. Python function | Even periodic (cosine) Mathieu function of order n | See Mathieu Functions on Wikipedia. |
Math_se(n,r,x) | Std. Python function | Odd periodic (sine) Mathieu function of order n | See Mathieu Functions on Wikipedia. |
Rect(x) | EMAG Python function | Rectangle function | x|≤0.5, 0 elsewhere |
Tri(x) | EMAG Python function | Triangle function | 1-x|≤1, 0 elsewhere |
Spln2(x) | EMAG Python function | Quadratic spline function | - |
Spln3(x) | EMAG Python function | Cubic spline function | - |
Step(x) | EMAG Python function | Step function | 1 if x>0, 0 if x<0 |
Haar(x) | EMAG Python function | Haar function | x|<0.5, 0 elsewhere |
Ramp(x) | EMAG Python function | Ramp function | - |
Trapz(a,x) | EMAG Python function | Trapezoidal function | - |
Sqwv(x) | EMAG Python function | Square wave function | - |
Stwv(x) | EMAG Python function | Sawtooth wave function | - |
Trwv(x) | EMAG Python function | Triangle wave function | - |
Plstr(d,x) | EMAG Python function | Pulse train function with duty cycle d | - |
Sinc(d,x) | EMAG Python function | Sinc function | sin(pi*x)/(pi*x) |
Fejer(n,x) | EMAG Python function | Fejer function of order n | - |
Rand(x) | EMAG Python function | Random function | - |
Z0_MS(e,x) | EMAG Python function | Characteristic impedance of a microstrip transmission line | x: width-to-height ratio, e: substrate permittivity |
w_MS(z,e,t) | EMAG Python function | Width of a microstrip transmission line | z: characteristic impedance, e: substrate permittivity, t: substrate thickness |
eeff_MS(e,x) | EMAG Python function | Effective permittivity of a microstrip transmission line | x: width-to-height ratio, e: substrate permittivity |
woh_MS(e,z) | EMAG Python function | Width-to-height ratio of a microstrip transmission line | z: characteristic impedance z, e: substrate permittivity |
Z0_CPW(e,x,y) | EMAG Python function | Characteristic impedance of a coplanar waveguide transmission line | x: slot width-to-height ratio, y: center strip width-to-height ratio, e: substrate permittivity |
eeff_CPW(e,x,y) | EMAG Python function | Effective permittivity of a coplanar waveguide transmission line | x: slot width-to-height ratio, y: center strip width-to-height ratio, e: substrate permittivity |
horn_a(d,x,y) | EMAG Python function | Wavelength-normalized a-dimension of an optimal pyramidal horn antenna | d: directivity d, x and y: wavelength-normalized waveguide dimensions |
horn_b(d,x,y) | EMAG Python function | Wavelength-normalized b-dimension of an optimal pyramidal horn antenna | d: directivity d, x and y: wavelength-normalized waveguide dimensions |
horn_l(d,x,y) | EMAG Python function | Wavelength-normalized length of an optimal pyramidal horn antenna | d: directivity d, x and y: wavelength-normalized waveguide dimensions |