Glossary of EM.Cube's Python Functions
From Emagtech Wiki
Revision as of 14:38, 29 August 2016 by Kazem Sabet (Talk | contribs)
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) | 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 |
