From 6ccf03b1fa7ec685cc35a49edc75a9a481196433 Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Tue, 23 Jun 2020 10:02:02 +0200 Subject: [PATCH 0001/1387] BfieldCylinder code doku --- magpylib/_lib/fields/PM_Cylinder.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/magpylib/_lib/fields/PM_Cylinder.py b/magpylib/_lib/fields/PM_Cylinder.py index 4c03b4067..ee9b5c4df 100644 --- a/magpylib/_lib/fields/PM_Cylinder.py +++ b/magpylib/_lib/fields/PM_Cylinder.py @@ -61,7 +61,7 @@ def Bfield_Cylinder(MAG, pos, dim, Nphi0): # returns arr3 x, y, z = pos # relative position r, phi = sqrt(x**2+y**2), getPhi(x, y) # cylindrical coordinates - # Mag part in z-direction + # Mag part in z-direction (Derby2009) B0z = MAG[2] # z-part of magnetization zP, zM = z+H/2., z-H/2. # some important quantitites Rpr, Rmr = R+r, R-r @@ -117,7 +117,7 @@ def Bfield_Cylinder(MAG, pos, dim, Nphi0): # returns arr3 Bfield = array([Bx_Z, By_Z, Bz_Z]) # contribution from axial magnetization - # Mag part in xy-direction requires a numeical algorithm + # Mag part in xy-direction requires a numerical algorithm (Furlani1995) B0xy = sqrt(MAG[0]**2+MAG[1]**2) # xy-magnetization amplitude if B0xy > 0: From a73a116d7489aaa6be0f34b31750a7f0e07f2a38 Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Tue, 23 Jun 2020 11:17:33 +0200 Subject: [PATCH 0002/1387] doku Physics --- docs/_pages/9_physics.rst | 24 ++++++++++++++++++++++-- 1 file changed, 22 insertions(+), 2 deletions(-) diff --git a/docs/_pages/9_physics.rst b/docs/_pages/9_physics.rst index dad7f9ab8..5f8be9a0c 100644 --- a/docs/_pages/9_physics.rst +++ b/docs/_pages/9_physics.rst @@ -7,8 +7,28 @@ The analytical solutions ######################## -Details about how they are set up -Formulas and expressions used in magpylib, references to literature +Magnetic field computations in Magpylib are based on known analytical solutions (formulas) to permanent magnet and current problems that can be found in the literature. The magnet solutions are mostly derived via the magnetic scalar potential, the current solutions through the law of Biot-Savart. + +In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: + +.. math:: + + {\bf H} = -\nabla\cdot\Phi_m + +The solution to this equation can be expressed by an integral over the magnetization distribution :math:`{\bf M}` as + +.. math:: + + \Phi_m({\bf r}) = \frac{1}{4\pi}\int_{V'}\frac{\nabla'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dV'+\frac{1}{4\pi}\oint_{S'}\frac{\n'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dS' + +where :math:`{\bf r}` denotes the position, :math:`V` is the magnetized volume with surface :math:`S` and normal vector :math:`{\bf n}` onto the surface. This solution is derived in detail e.g. in [Jackson]. In some special cases this integral can be worked out directly to give a simple analytical formula. These cases refer to homogeneous magnetizations and simple magnet shapes. + +For magpylib we have used the following references: + +* Field of cuboid magnets: [1999Johansen, 2013Camacho] +* Field of cylindrical magnets: [1994Furlani, 2009Derby] +* Field of facet bodies: [2009Janssen, 2013Rubeck] +* all others simply derived by hand Hard and soft magnetic materials -------------------------------- From f95be5a9d9d747d835ce634e9580da1a5402cede Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Tue, 23 Jun 2020 11:48:04 +0200 Subject: [PATCH 0003/1387] doku Physics --- docs/_pages/9_physics.rst | 43 +++++++++++++++++++++++---------------- 1 file changed, 26 insertions(+), 17 deletions(-) diff --git a/docs/_pages/9_physics.rst b/docs/_pages/9_physics.rst index 5f8be9a0c..03178d041 100644 --- a/docs/_pages/9_physics.rst +++ b/docs/_pages/9_physics.rst @@ -7,9 +7,14 @@ The analytical solutions ######################## -Magnetic field computations in Magpylib are based on known analytical solutions (formulas) to permanent magnet and current problems that can be found in the literature. The magnet solutions are mostly derived via the magnetic scalar potential, the current solutions through the law of Biot-Savart. +Magnetic field computations in Magpylib are based on known analytical solutions (formulas) to permanent magnet and current problems that can be found in the literature. For magpylib we have used the following references: -In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: +* Field of cuboid magnets: [1999Johansen, 2013Camacho] +* Field of cylindrical magnets: [1994Furlani, 2009Derby] +* Field of facet bodies: [2009Janssen, 2013Rubeck] +* all others simply derived by hand + +Subsequently we show a short reflection on how these formulas are achieved. The magnet solutions are mostly derived via the magnetic scalar potential. In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: .. math:: @@ -19,31 +24,35 @@ The solution to this equation can be expressed by an integral over the magnetiza .. math:: - \Phi_m({\bf r}) = \frac{1}{4\pi}\int_{V'}\frac{\nabla'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dV'+\frac{1}{4\pi}\oint_{S'}\frac{\n'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dS' + \Phi_m({\bf r}) = \frac{1}{4\pi}\int_{V'}\frac{\nabla'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dV'+\frac{1}{4\pi}\oint_{S'}\frac{{\bf n}'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dS' -where :math:`{\bf r}` denotes the position, :math:`V` is the magnetized volume with surface :math:`S` and normal vector :math:`{\bf n}` onto the surface. This solution is derived in detail e.g. in [Jackson]. In some special cases this integral can be worked out directly to give a simple analytical formula. These cases refer to homogeneous magnetizations and simple magnet shapes. +where :math:`{\bf r}` denotes the position, :math:`V` is the magnetized volume with surface :math:`S` and normal vector :math:`{\bf n}` onto the surface. This solution is derived in detail e.g. in [1999Jackson]. -For magpylib we have used the following references: +The current solutions are directly derived using the law of Biot-Savart: -* Field of cuboid magnets: [1999Johansen, 2013Camacho] -* Field of cylindrical magnets: [1994Furlani, 2009Derby] -* Field of facet bodies: [2009Janssen, 2013Rubeck] -* all others simply derived by hand +.. math:: + + {\bf B}({\bf r}) = \frac{\mu_0}{4\pi}\int_{V'} {\bf J}({\bf r}')\times \frac{{\bf r}-{\bf r}'}{|{\bf r}-{\bf r}'|^3} dV' -Hard and soft magnetic materials --------------------------------- -We cannot do soft, theres a lot of reasons we we dont need to +In some special cases (simple shapes and homogeneous magnetizations and current distributions) these integrals can be worked out directly to give analytical formulas (or simple, fast converging series). The derivations can be found in the respective references. -Demagnetization ---------------- +References: +* [1999Johansen] T. H. Johansen et al., "Potential and force between a magnet and a bulk Y1Ba2Cu3O7-? superconductor studied by a mechanical pendulum", Superconductor Science and Technology 3(12):591, 1999 +* [2013 Camacho] J.M. Camacho and V. Sosa, "Alternative method to calculate the magnetic field of permanent magnets with azimuthal symmetry", Revista Mexicana de Fisica E 59 8–17, 2013 +* [1994Furlani] E. P. Furlani, S. Reanik and W. Janson, "A Three-Dimensional Field Solution for Bipolar Cylinders", IEEE Transaction on Magnetics, VOL. 30, NO. 5, 1994 +* [2009Derby] N. Derby, "Cylindrical Magnets and Ideal Solenoids", arXiv:0909.3880v1, 2009 +* [2009Janssen] J.L.G. Janssen, J.J.H. Paulides and E.A. Lomonova, "3D ANALYTICAL FIELD CALCULATION USING TRIANGULAR MAGNET SEGMENTS APPLIED TO A SKEWED LINEAR PERMANENT MAGNET ACTUATOR", ISEF 2009 - XIV International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering Arras, France, September 10-12, 2009 +* [2013Rubeck] C. Rubeck et al., "Analytical Calculation of Magnet Systems: Magnetic Field Created by Charged Triangles and Polyhedra", IEEE Transactions on Magnetics, VOL. 49, NO. 1, 2013 +* [1999Jackson] J. D. Jackson, "Classical Electrodynamics", 1999 Wiley, New York + + +Accuracy of the Solutions and Demagnetization +############################################# Solution accuracy, analytical modeling of demagnetization and interaction multiple sources, no interaction -Limits and Convergence -###################### - Convergence of diametral Cylinder No. iterations From f93bb9d3ff6486b0d8256fd61f598c9ecb062ebe Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Tue, 23 Jun 2020 12:02:37 +0200 Subject: [PATCH 0004/1387] doku Physics --- docs/_pages/9_physics.rst | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/docs/_pages/9_physics.rst b/docs/_pages/9_physics.rst index 03178d041..921fb25ed 100644 --- a/docs/_pages/9_physics.rst +++ b/docs/_pages/9_physics.rst @@ -14,29 +14,30 @@ Magnetic field computations in Magpylib are based on known analytical solutions * Field of facet bodies: [2009Janssen, 2013Rubeck] * all others simply derived by hand -Subsequently we show a short reflection on how these formulas are achieved. The magnet solutions are mostly derived via the magnetic scalar potential. In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: +A short reflection on how these formulas are achieved: The magnet solutions are mostly derived via the magnetic scalar potential. In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: .. math:: {\bf H} = -\nabla\cdot\Phi_m -The solution to this equation can be expressed by an integral over the magnetization distribution :math:`{\bf M}` as +The solution to this equation can be expressed by an integral over the magnetization distribution :math:`{\bf M}({\bf r})` as .. math:: - \Phi_m({\bf r}) = \frac{1}{4\pi}\int_{V'}\frac{\nabla'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dV'+\frac{1}{4\pi}\oint_{S'}\frac{{\bf n}'\cdot {\bf M}}{|{\bf r}-{\bf r}'|}dS' + \Phi_m({\bf r}) = \frac{1}{4\pi}\int_{V'}\frac{\nabla'\cdot {\bf M}({\bf r}')}{|{\bf r}-{\bf r}'|}dV'+\frac{1}{4\pi}\oint_{S'}\frac{{\bf n}'\cdot {\bf M}({\bf r}')}{|{\bf r}-{\bf r}'|}dS' where :math:`{\bf r}` denotes the position, :math:`V` is the magnetized volume with surface :math:`S` and normal vector :math:`{\bf n}` onto the surface. This solution is derived in detail e.g. in [1999Jackson]. -The current solutions are directly derived using the law of Biot-Savart: +The current solutions are directly derived using the law of Biot-Savart with the current distribution :math:`{\bf J}({\bf r})`: .. math:: {\bf B}({\bf r}) = \frac{\mu_0}{4\pi}\int_{V'} {\bf J}({\bf r}')\times \frac{{\bf r}-{\bf r}'}{|{\bf r}-{\bf r}'|^3} dV' -In some special cases (simple shapes and homogeneous magnetizations and current distributions) these integrals can be worked out directly to give analytical formulas (or simple, fast converging series). The derivations can be found in the respective references. +In some special cases (simple shapes, homogeneous magnetizations and current distributions) these integrals can be worked out directly to give analytical formulas (or simple, fast converging series). The derivations can be found in the respective references. References: + * [1999Johansen] T. H. Johansen et al., "Potential and force between a magnet and a bulk Y1Ba2Cu3O7-? superconductor studied by a mechanical pendulum", Superconductor Science and Technology 3(12):591, 1999 * [2013 Camacho] J.M. Camacho and V. Sosa, "Alternative method to calculate the magnetic field of permanent magnets with azimuthal symmetry", Revista Mexicana de Fisica E 59 8–17, 2013 * [1994Furlani] E. P. Furlani, S. Reanik and W. Janson, "A Three-Dimensional Field Solution for Bipolar Cylinders", IEEE Transaction on Magnetics, VOL. 30, NO. 5, 1994 From 99bfe0695424945f6d8d0b10b7afe052108eb710 Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Wed, 24 Jun 2020 11:15:54 +0200 Subject: [PATCH 0005/1387] mathLib docstrings fixing --- magpylib/_lib/mathLib.py | 108 +++++++++++++++++++-------------------- 1 file changed, 54 insertions(+), 54 deletions(-) diff --git a/magpylib/_lib/mathLib.py b/magpylib/_lib/mathLib.py index 33029a9a6..e1132bf1d 100644 --- a/magpylib/_lib/mathLib.py +++ b/magpylib/_lib/mathLib.py @@ -24,11 +24,13 @@ import numpy from numpy import arctan, pi, array, sqrt, NaN, cos, sin, arccos, float64, sqrt -# SMOOTH VERSION OF ARCTAN ------------------------------------------------------ -# get a smooth version of the cylindrical coordinates -# similar to atan2 from numpy - replace at some point + +# IMPROVED ANGLE FUNCTIONS ################################################################ def getPhi(x, y): + ''' + basically atan2 - will be replaced soon + ''' if x > 0: return arctan(y/x) elif x < 0: @@ -45,9 +47,11 @@ def getPhi(x, y): return 0 -# NUMERICALY STABLE VERSION OF ARCCOS ------------------------------------------- # avoid numerical problem to evaluate at 1.000000000001 def arccosSTABLE(x): + ''' + arccos with improved numerical stability + ''' if 1 > x > -1: return arccos(x) elif x >= 1: @@ -56,59 +60,70 @@ def arccosSTABLE(x): return pi -# FAST VERSIONS OF 3D VECTOR ALGEBRA -------------------------------------------- +# FAST VERSIONS OF 3D VECTOR ALGEBRA ########################################################### +# fast versions for 3-vector computation only -# more than 10-times faster than native np.cross (which is for arbitrary dimensions) def fastCross3D(u, v): + ''' + outer product of 2 3-vectors + ''' return array([u[1]*v[2]-u[2]*v[1], -u[0]*v[2]+u[2]*v[0], u[0]*v[1]-u[1]*v[0]]) -# much faster than sum() - def fastSum3D(u): + ''' + sum of 3-vector + ''' return u[0]+u[1]+u[2] -# much faster than np.la.norm (which is for arbitrary dimensions) - def fastNorm3D(u): + ''' + norm of a 3-vector + ''' return sqrt(u[0]**2+u[1]**2+u[2]**2) -# QUATERNIONS for ANGLE-AXIS ROTATION -------------------------------------------- +# QUATERNIONS for ANGLE-AXIS ROTATION #################################################### # Quaterntions are defined as 4D Lists -# Quaternion multiplication def Qmult(Q, P): + ''' + Quaternion multiplication + ''' r0 = Q[0]*P[0] - Q[1]*P[1] - Q[2]*P[2] - Q[3]*P[3] r1 = Q[0]*P[1] + Q[1]*P[0] + Q[2]*P[3] - Q[3]*P[2] r2 = Q[0]*P[2] - Q[1]*P[3] + Q[2]*P[0] + Q[3]*P[1] r3 = Q[0]*P[3] + Q[1]*P[2] - Q[2]*P[1] + Q[3]*P[0] return [r0, r1, r2, r3] -# Quaternion Norm**2 - def Qnorm2(Q): + ''' + Quaternion Norm**2 + ''' return Q[0]**2 + Q[1]**2 + Q[2]**2 + Q[3]**2 -# Unit Quaternion - def Qunit(Q): + ''' + unit quaternion + ''' qnorm = sqrt(Qnorm2(Q)) return [q/qnorm for q in Q] -# Conjugate Quaternion - def Qconj(Q): + ''' + Conjugation of Quaternion + ''' return array([Q[0], -Q[1], -Q[2], -Q[3]]) -# getRotationQuaternion from axis angle (see Kuipers p.131) - def getRotQuat(angle, axis): + ''' + getRotationQuaternion from axis angle (see Kuipers p.131) + ''' Lax = fastNorm3D(axis) Uax = axis/Lax @@ -120,10 +135,11 @@ def getRotQuat(angle, axis): return Q -# Angle-Axis Rotation of Vector - def angleAxisRotation_priv(angle, axis, v): + ''' + Angle-Axis Rotation of Vector + ''' P = getRotQuat(angle, axis) Qv = [0, v[0], v[1], v[2]] @@ -132,14 +148,15 @@ def angleAxisRotation_priv(angle, axis, v): return array(Qv_new[1:]) -# %% ELLIPTICAL INTEGRALS +# SPECIAL FUNCTIONS ################################################################ +# See https://dlmf.nist.gov/19.2 -#from scipy.integrate import quad -# Algorithm to determine a special elliptic integral -# Algorithm proposed in Derby, Olbert 'Cylindrical Magnets and Ideal Solenoids' -# arXiev:00909.3880v1 def elliptic(kc, p, c, s): + ''' + Numerical scheme to evaluate the Bulirsch integral. + Algorithm proposed in Derby et al., arXiev:00909.3880v1 + ''' if kc == 0: return NaN errtol = .000001 @@ -180,46 +197,29 @@ def elliptic(kc, p, c, s): em = k+em return(pi/2)*(ss+cc*em)/(em*(em+pp)) -# complete elliptic integral of the first kind: ellipticK -# E(x) = \int_0^pi/2 (1-x sin(phi)^2)^(-1/2) dphi -# Achtung: fur x>1 wird der output imaginaer und die derzeitigen algorithmen brechen zusammen - def ellipticK(x): + ''' + Legendres complete elliptic integral of the first kind + ''' return elliptic((1-x)**(1/2.), 1, 1, 1) -# complete elliptic integral of the second kind: ellipticE -# E(x) = \int_0^pi/2 (1-x sin(phi)^2)^(1/2) dphi -# Achtung: fur x>1 wird der output imaginaer und die derzeitigen algorithmen brechen zusammen - def ellipticE(x): + ''' + Legendres complete elliptic integral of the second kind + ''' return elliptic((1-x)**(1/2.), 1, 1, 1-x) -# complete elliptic integral of the third kind: ellipticPi - def ellipticPi(x, y): + ''' + Legendres complete elliptic integral of the third kind + ''' return elliptic((1-y)**(1/2.), 1-x, 1, 1) -# TESTING ALGORITHM --------------------------------------------------------- -# def integrand(phi,kc,p,c,s): -# return (c*cos(phi)**2+s*sin(phi)**2)/(cos(phi)**2+p*sin(phi)**2)/sqrt(cos(phi)**2+kc**2*sin(phi)**2) - -# def nelliptic(kc,p,c,s): -# I = quad(integrand,0,pi/2,args=(kc,p,c,s)) -# return I - -#from scipy.integrate import quad -# def integrand(phi,x): -# return (1-x*sin(phi)**2)**(-1/2.) -# def nelliptic(x): -# I = quad(integrand,0,pi/2,args=x) -# return I -# print(nelliptic(-.51)) - - +# AXES AND ROTATIONS ############################################################# def randomAxis(): """ From d746649ff7b128e6766ced5a2cf8558c712bab2a Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Wed, 24 Jun 2020 12:36:56 +0200 Subject: [PATCH 0006/1387] replace getPhi with arctan2 --- magpylib/_lib/fields/Current_CircularLoop.py | 6 ++--- magpylib/_lib/fields/PM_Cylinder.py | 4 ++-- magpylib/_lib/mathLib.py | 24 ++------------------ 3 files changed, 7 insertions(+), 27 deletions(-) diff --git a/magpylib/_lib/fields/Current_CircularLoop.py b/magpylib/_lib/fields/Current_CircularLoop.py index d12fa3794..1669d244b 100644 --- a/magpylib/_lib/fields/Current_CircularLoop.py +++ b/magpylib/_lib/fields/Current_CircularLoop.py @@ -22,8 +22,8 @@ # page at https://www.github.com/magpylib/magpylib/issues. # ------------------------------------------------------------------------------- -from numpy import sqrt, array, NaN, cos, sin -from magpylib._lib.mathLib import getPhi, ellipticK, ellipticE +from numpy import sqrt, array, NaN, cos, sin, arctan2 +from magpylib._lib.mathLib import ellipticK, ellipticE from warnings import warn # %% CIRCULAR CURRENT LOOP @@ -43,7 +43,7 @@ def Bfield_CircularCurrentLoop(i0, d0, pos): px, py, pz = pos r = sqrt(px**2+py**2) - phi = getPhi(px, py) + phi = arctan2(py,px) z = pz r0 = d0/2 # radius of current loop diff --git a/magpylib/_lib/fields/PM_Cylinder.py b/magpylib/_lib/fields/PM_Cylinder.py index ee9b5c4df..23dce09f5 100644 --- a/magpylib/_lib/fields/PM_Cylinder.py +++ b/magpylib/_lib/fields/PM_Cylinder.py @@ -27,7 +27,7 @@ # %% IMPORTS from numpy import pi, sqrt, array, arctan2, cos, sin, arange, NaN -from magpylib._lib.mathLib import getPhi, elliptic +from magpylib._lib.mathLib import elliptic from warnings import warn # %% Cylinder Field Calculation @@ -59,7 +59,7 @@ def Bfield_Cylinder(MAG, pos, dim, Nphi0): # returns arr3 R = D/2 x, y, z = pos # relative position - r, phi = sqrt(x**2+y**2), getPhi(x, y) # cylindrical coordinates + r, phi = sqrt(x**2+y**2), arctan2(y, x) # cylindrical coordinates # Mag part in z-direction (Derby2009) B0z = MAG[2] # z-part of magnetization diff --git a/magpylib/_lib/mathLib.py b/magpylib/_lib/mathLib.py index e1132bf1d..ee15937aa 100644 --- a/magpylib/_lib/mathLib.py +++ b/magpylib/_lib/mathLib.py @@ -22,31 +22,11 @@ # page at https://www.github.com/magpylib/magpylib/issues. # ------------------------------------------------------------------------------- import numpy -from numpy import arctan, pi, array, sqrt, NaN, cos, sin, arccos, float64, sqrt +from numpy import arctan, pi, array, sqrt, NaN, cos, sin, arccos, float64, sqrt, arctan2 # IMPROVED ANGLE FUNCTIONS ################################################################ -def getPhi(x, y): - ''' - basically atan2 - will be replaced soon - ''' - if x > 0: - return arctan(y/x) - elif x < 0: - if y >= 0: - return arctan(y/x)+pi - else: - return arctan(y/x)-pi - else: - if y > 0: - return pi/2 - elif y<0: - return -pi/2 - else: - return 0 - - # avoid numerical problem to evaluate at 1.000000000001 def arccosSTABLE(x): ''' @@ -309,7 +289,7 @@ def anglesFromAxis(axis): Uax = ax/Lax TH = arccos(Uax[2])/pi*180 - PHI = getPhi(Uax[0], Uax[1])/pi*180 + PHI = arctan2(Uax[1], Uax[0])/pi*180 return array([PHI, TH]) From 90930d0eb41081b11d9926d5ab60f257ce31a4e6 Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Wed, 24 Jun 2020 14:05:14 +0200 Subject: [PATCH 0007/1387] fix unit testing for getPhi removal --- tests/test_Math.py | 11 ++++------- 1 file changed, 4 insertions(+), 7 deletions(-) diff --git a/tests/test_Math.py b/tests/test_Math.py index 81084cc0e..05ec94343 100644 --- a/tests/test_Math.py +++ b/tests/test_Math.py @@ -1,15 +1,15 @@ -from magpylib._lib.mathLib import getPhi,fastSum3D, fastNorm3D, arccosSTABLE, fastCross3D +from magpylib._lib.mathLib import fastSum3D, fastNorm3D, arccosSTABLE, fastCross3D from magpylib._lib.mathLib import Qmult, Qnorm2, Qunit, Qconj, getRotQuat, angleAxisRotation_priv from magpylib._lib.mathLib import elliptic, ellipticK, ellipticE, ellipticPi from numpy import pi,array from magpylib._lib.mathLib import randomAxis, axisFromAngles, anglesFromAxis, angleAxisRotation -import numpy +import numpy as np # ------------------------------------------------------------------------------- def test_randomAxis(): result = randomAxis() assert len(result)==3, "bad randomAxis" - assert all(type(axis)==numpy.float64 for axis in result), "bad randomAxis" + assert all(type(axis)==np.float64 for axis in result), "bad randomAxis" assert all(abs(axis)<=1 for axis in result), "bad randomAxis" # ------------------------------------------------------------------------------- @@ -26,6 +26,7 @@ def test_anglesFromAxis(): for r,s in zip(result,sol): assert round(r,4)==round(s,4), "bad anglesFromAxis" + # ------------------------------------------------------------------------------- def test_axisFromAngles(): sol = [ 5.30287619e-17, 8.66025404e-01, -5.00000000e-01] @@ -36,10 +37,6 @@ def test_axisFromAngles(): # ------------------------------------------------------------------------------- def test_algebraic(): - assert round(getPhi(1,2),4) ==1.1071, "bad getPhi result at (1,2)" - assert round(getPhi(1,0),4) ==0.0, "bad getPhi result at (1,0)" - assert round(getPhi(-1,0),4)==3.1416, "bad getPhi result at (-1,0)" - assert round(getPhi(0,0),4) ==0.0, "bad getPhi result at (0,0)" assert round(arccosSTABLE(2),4) == 0.0 , "bad arccosStable at (2)" assert round(arccosSTABLE(-2),4) == 3.1416, "bad arccosStable at (-2)" From 9af9db57f2e55241e353a579ac0ed0492cd7922b Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Wed, 24 Jun 2020 15:29:50 +0200 Subject: [PATCH 0008/1387] small docu fix --- docs/_pages/9_physics.rst | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/docs/_pages/9_physics.rst b/docs/_pages/9_physics.rst index 921fb25ed..19f3eba77 100644 --- a/docs/_pages/9_physics.rst +++ b/docs/_pages/9_physics.rst @@ -7,14 +7,14 @@ The analytical solutions ######################## -Magnetic field computations in Magpylib are based on known analytical solutions (formulas) to permanent magnet and current problems that can be found in the literature. For magpylib we have used the following references: +Magnetic field computations in Magpylib are based on known analytical solutions (formulas) to permanent magnet and current problems that can be found in the literature. For Magpylib we have used the following references: * Field of cuboid magnets: [1999Johansen, 2013Camacho] * Field of cylindrical magnets: [1994Furlani, 2009Derby] * Field of facet bodies: [2009Janssen, 2013Rubeck] -* all others simply derived by hand +* all others derived by hand -A short reflection on how these formulas are achieved: The magnet solutions are mostly derived via the magnetic scalar potential. In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: +A short reflection on how these formulas are achieved: The magnet solutions are often derived via the magnetic scalar potential. In magnetostatics (no currents) the magnetic field becomes conservative (Maxwell: :math:`\nabla \times {\bf H} = 0`) and can thus be expressed through the magnetic scalar potential :math:`\Phi_m`: .. math:: @@ -28,13 +28,13 @@ The solution to this equation can be expressed by an integral over the magnetiza where :math:`{\bf r}` denotes the position, :math:`V` is the magnetized volume with surface :math:`S` and normal vector :math:`{\bf n}` onto the surface. This solution is derived in detail e.g. in [1999Jackson]. -The current solutions are directly derived using the law of Biot-Savart with the current distribution :math:`{\bf J}({\bf r})`: +The fields of currents are directly derived using the law of Biot-Savart with the current distribution :math:`{\bf J}({\bf r})`: .. math:: {\bf B}({\bf r}) = \frac{\mu_0}{4\pi}\int_{V'} {\bf J}({\bf r}')\times \frac{{\bf r}-{\bf r}'}{|{\bf r}-{\bf r}'|^3} dV' -In some special cases (simple shapes, homogeneous magnetizations and current distributions) these integrals can be worked out directly to give analytical formulas (or simple, fast converging series). The derivations can be found in the respective references. +In some special cases (simple shapes, homogeneous magnetizations and current distributions) these integrals can be worked out directly to give analytical formulas (or simple, fast converging series). The derivations can be found in the respective references. A noteworthy comparison between the Coulombian approach and the Amperian current model is given in [2009Ravaud]. References: @@ -45,7 +45,7 @@ References: * [2009Janssen] J.L.G. Janssen, J.J.H. Paulides and E.A. Lomonova, "3D ANALYTICAL FIELD CALCULATION USING TRIANGULAR MAGNET SEGMENTS APPLIED TO A SKEWED LINEAR PERMANENT MAGNET ACTUATOR", ISEF 2009 - XIV International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering Arras, France, September 10-12, 2009 * [2013Rubeck] C. Rubeck et al., "Analytical Calculation of Magnet Systems: Magnetic Field Created by Charged Triangles and Polyhedra", IEEE Transactions on Magnetics, VOL. 49, NO. 1, 2013 * [1999Jackson] J. D. Jackson, "Classical Electrodynamics", 1999 Wiley, New York - +* [2009Ravaud] R. Ravaud and G. Lamarquand, "Comparison of the coulombian and amperian current models for calculating the magnetic field produced by radially magnetized arc-shaped permanent magnets", HAL Id: hal-00412346 Accuracy of the Solutions and Demagnetization ############################################# From 8b307284736155eddeb4465bfe9e4fb389b48f97 Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Thu, 25 Jun 2020 14:09:14 +0200 Subject: [PATCH 0009/1387] replace elliptic with cel for convention --- magpylib/_lib/fields/PM_Cylinder.py | 8 ++++---- magpylib/_lib/fields/PM_Cylinder_vector.py | 8 ++++---- magpylib/_lib/mathLib.py | 10 +++++----- magpylib/_lib/mathLib_vector.py | 12 ++++++------ tests/test_Math.py | 4 ++-- tests/test_MathVector.py | 10 +++++----- 6 files changed, 26 insertions(+), 26 deletions(-) diff --git a/magpylib/_lib/fields/PM_Cylinder.py b/magpylib/_lib/fields/PM_Cylinder.py index 23dce09f5..48938440e 100644 --- a/magpylib/_lib/fields/PM_Cylinder.py +++ b/magpylib/_lib/fields/PM_Cylinder.py @@ -27,7 +27,7 @@ # %% IMPORTS from numpy import pi, sqrt, array, arctan2, cos, sin, arange, NaN -from magpylib._lib.mathLib import elliptic +from magpylib._lib.mathLib import cel from warnings import warn # %% Cylinder Field Calculation @@ -107,13 +107,13 @@ def Bfield_Cylinder(MAG, pos, dim, Nphi0): # returns arr3 gamma = Rmr/Rpr # radial field - Br_Z = B0z*(alphP*elliptic(kP, 1, 1, -1)-alphM*elliptic(kM, 1, 1, -1))/pi + Br_Z = B0z*(alphP*cel(kP, 1, 1, -1)-alphM*cel(kM, 1, 1, -1))/pi Bx_Z = Br_Z*cos(phi) By_Z = Br_Z*sin(phi) # axial field - Bz_Z = B0z*R/(Rpr)*(betP*elliptic(kP, gamma**2, 1, gamma) - - betM*elliptic(kM, gamma**2, 1, gamma))/pi + Bz_Z = B0z*R/(Rpr)*(betP*cel(kP, gamma**2, 1, gamma) - + betM*cel(kM, gamma**2, 1, gamma))/pi Bfield = array([Bx_Z, By_Z, Bz_Z]) # contribution from axial magnetization diff --git a/magpylib/_lib/fields/PM_Cylinder_vector.py b/magpylib/_lib/fields/PM_Cylinder_vector.py index 67ed5e55e..3d37d776c 100644 --- a/magpylib/_lib/fields/PM_Cylinder_vector.py +++ b/magpylib/_lib/fields/PM_Cylinder_vector.py @@ -29,7 +29,7 @@ # %% IMPORTS from numpy import pi, sqrt, array, arctan2, cos, sin import numpy as np -from magpylib._lib.mathLib_vector import ellipticV +from magpylib._lib.mathLib_vector import celV # Describes the magnetic field of a cylinder with circular top and bottom and # arbitrary magnetization given by MAG. The axis of the cylinder is parallel @@ -77,13 +77,13 @@ def Bfield_CylinderV(MAG, POS, DIM, Nphi0): # returns arr3 one = np.ones(N) # radial field - Br_Z = B0z*(alphP*ellipticV(kP, one, one, -one)-alphM*ellipticV(kM, one, one, -one))/pi + Br_Z = B0z*(alphP*celV(kP, one, one, -one)-alphM*celV(kM, one, one, -one))/pi Bx_Z = Br_Z*cos(PHI) By_Z = Br_Z*sin(PHI) # axial field - Bz_Z = B0z*R/(Rpr)*(betP*ellipticV(kP, gamma**2, one, gamma) - - betM*ellipticV(kM, gamma**2, one, gamma))/pi + Bz_Z = B0z*R/(Rpr)*(betP*celV(kP, gamma**2, one, gamma) - + betM*celV(kM, gamma**2, one, gamma))/pi Bfield = np.c_[Bx_Z, By_Z, Bz_Z] # contribution from axial magnetization diff --git a/magpylib/_lib/mathLib.py b/magpylib/_lib/mathLib.py index ee15937aa..16d0ae546 100644 --- a/magpylib/_lib/mathLib.py +++ b/magpylib/_lib/mathLib.py @@ -132,9 +132,9 @@ def angleAxisRotation_priv(angle, axis, v): # See https://dlmf.nist.gov/19.2 -def elliptic(kc, p, c, s): +def cel(kc, p, c, s): ''' - Numerical scheme to evaluate the Bulirsch integral. + Numerical scheme to evaluate the cel Bulirsch integral. Algorithm proposed in Derby et al., arXiev:00909.3880v1 ''' if kc == 0: @@ -182,21 +182,21 @@ def ellipticK(x): ''' Legendres complete elliptic integral of the first kind ''' - return elliptic((1-x)**(1/2.), 1, 1, 1) + return cel((1-x)**(1/2.), 1, 1, 1) def ellipticE(x): ''' Legendres complete elliptic integral of the second kind ''' - return elliptic((1-x)**(1/2.), 1, 1, 1-x) + return cel((1-x)**(1/2.), 1, 1, 1-x) def ellipticPi(x, y): ''' Legendres complete elliptic integral of the third kind ''' - return elliptic((1-y)**(1/2.), 1-x, 1, 1) + return cel((1-y)**(1/2.), 1-x, 1, 1) # AXES AND ROTATIONS ############################################################# diff --git a/magpylib/_lib/mathLib_vector.py b/magpylib/_lib/mathLib_vector.py index 54a9af6de..97a48b372 100644 --- a/magpylib/_lib/mathLib_vector.py +++ b/magpylib/_lib/mathLib_vector.py @@ -260,9 +260,9 @@ def angleAxisRotationV(POS,ANG,AXIS,ANCHOR): -def ellipticV(kc,p,c,s): +def celV(kc,p,c,s): ''' - vectorized version of the elliptic integral + vectorized version of the cel integral original implementation from paper Kirby ''' @@ -330,12 +330,12 @@ def ellipticV(kc,p,c,s): def ellipticKV(x): ''' - special case complete elliptic integral of first kind ellipticK + special case complete cel integral of first kind ellipticK 0 <= x <1 ''' N = len(x) onez = np.ones([N]) - return ellipticV((1-x)**(1/2.), onez, onez, onez) + return celV((1-x)**(1/2.), onez, onez, onez) @@ -347,7 +347,7 @@ def ellipticEV(x): ''' N = len(x) onez = np.ones([N]) - return ellipticV((1-x)**(1/2.), onez, onez, 1-x) + return celV((1-x)**(1/2.), onez, onez, 1-x) @@ -359,4 +359,4 @@ def ellipticPiV(x, y): ''' N = len(x) onez = np.ones([N]) - return ellipticV((1-y)**(1/2.), 1-x, onez, onez) \ No newline at end of file + return celV((1-y)**(1/2.), 1-x, onez, onez) \ No newline at end of file diff --git a/tests/test_Math.py b/tests/test_Math.py index 05ec94343..e79cefdea 100644 --- a/tests/test_Math.py +++ b/tests/test_Math.py @@ -1,6 +1,6 @@ from magpylib._lib.mathLib import fastSum3D, fastNorm3D, arccosSTABLE, fastCross3D from magpylib._lib.mathLib import Qmult, Qnorm2, Qunit, Qconj, getRotQuat, angleAxisRotation_priv -from magpylib._lib.mathLib import elliptic, ellipticK, ellipticE, ellipticPi +from magpylib._lib.mathLib import cel, ellipticK, ellipticE, ellipticPi from numpy import pi,array from magpylib._lib.mathLib import randomAxis, axisFromAngles, anglesFromAxis, angleAxisRotation import numpy as np @@ -73,7 +73,7 @@ def test_Quaternion(): # ------------------------------------------------------------------------------- def test_elliptic(): - assert round(elliptic(.1,.2,.3,.4),4) == 4.7173, "bad elliptic" + assert round(cel(.1,.2,.3,.4),4) == 4.7173, "bad elliptic" assert round(ellipticK(.1),4) == 1.6124, "bad ellipticK" assert round(ellipticE(.1),4) == 1.5308, "bad ellipticE" assert round(ellipticPi(.1,.2),4) == 1.752, "bad ellipticPi" diff --git a/tests/test_MathVector.py b/tests/test_MathVector.py index d147183fd..426db2610 100644 --- a/tests/test_MathVector.py +++ b/tests/test_MathVector.py @@ -1,7 +1,7 @@ from magpylib._lib.mathLib_vector import QmultV, QconjV, getRotQuatV, QrotationV, getAngAxV, angleAxisRotationV_priv -from magpylib._lib.mathLib_vector import axisFromAnglesV, anglesFromAxisV, angleAxisRotationV, ellipticV +from magpylib._lib.mathLib_vector import axisFromAnglesV, anglesFromAxisV, angleAxisRotationV, celV from numpy import array, amax -from magpylib._lib.mathLib import getRotQuat, axisFromAngles, anglesFromAxis, angleAxisRotation, elliptic +from magpylib._lib.mathLib import getRotQuat, axisFromAngles, anglesFromAxis, angleAxisRotation, cel from magpylib.math import randomAxisV import numpy as np from magpylib._lib.mathLib import ellipticK, ellipticE, ellipticPi @@ -94,18 +94,18 @@ def test_angleAxisRotationV(): -def test_ellipticV(): +def test_celV(): #random input INP = np.random.rand(1000,4) # classical solution looped solC = [] for inp in INP: - solC += [elliptic(inp[0],inp[1],inp[2],inp[3])] + solC += [cel(inp[0],inp[1],inp[2],inp[3])] solC = np.array(solC) #vector solution - solV = ellipticV(INP[:,0],INP[:,1],INP[:,2],INP[:,3]) + solV = celV(INP[:,0],INP[:,1],INP[:,2],INP[:,3]) assert np.amax(abs(solC-solV)) < 1e-10 From 491d95e8e2865479ddbd0fff26353a8a29e1169f Mon Sep 17 00:00:00 2001 From: Ortner Michael <Michael.Ortner@silicon-austria.com> Date: Sat, 4 Jul 2020 09:13:06 +0200 Subject: [PATCH 0010/1387] small doku fixes --- docs/_pages/0_documentation.rst | 7 +++++-- docs/pyplots/examples/01_SimpleCollection.py | 2 +- docs/pyplots/examples/05_VectorJoystick1d.py | 2 +- 3 files changed, 7 insertions(+), 4 deletions(-) diff --git a/docs/_pages/0_documentation.rst b/docs/_pages/0_documentation.rst index b96882346..e5d0e43f6 100644 --- a/docs/_pages/0_documentation.rst +++ b/docs/_pages/0_documentation.rst @@ -4,7 +4,10 @@ Documentation v2.3.0b ****************************** -The idea behind magpylib is to provide a simple and easy-to-use interface for computing the magnetic field of magnets, currents and moments. The computations are based on (semi-)analytical solutions found in the literature, discussed in the :ref:`physComp` section. +Magpylib provide a simple and easy-to-use interface for computing the magnetic field of magnets, currents and moments. The computations are based on (semi-)analytical solutions found in the literature, discussed in the :ref:`physComp` section. + +A published software description for version 2.3.0b can be found `here <https://authors.elsevier.com/sd/article/S2352711020300170>`_. + Contents ######## @@ -36,7 +39,7 @@ The top level of magpylib contains the sub-packages and :mod:`~magpylib.source` 1. The **source module** includes a set of classes that represent physical sources of the magnetic field (e.g. permanent magnets). -2. The **vector module** includes functions for performance computation. +2. The **vector module** includes functions for vectorized performance computation. 3. The **math module** contains practical functions for working with angle-axis rotations and transformation to and from Euler angle representation. diff --git a/docs/pyplots/examples/01_SimpleCollection.py b/docs/pyplots/examples/01_SimpleCollection.py index 5f85bda02..53a2bd3b8 100644 --- a/docs/pyplots/examples/01_SimpleCollection.py +++ b/docs/pyplots/examples/01_SimpleCollection.py @@ -21,7 +21,7 @@ xs = np.linspace(-10,10,33) zs = np.linspace(-10,10,44) POS = np.array([(x,0,z) for z in zs for x in xs]) -Bs = c.getB(POS).reshape(44,33,3) #<--VECTORIZED +Bs = c.getB(POS).reshape(44,33,3) #<--automatically vectorized # create figure fig = plt.figure(figsize=(9,5)) diff --git a/docs/pyplots/examples/05_VectorJoystick1d.py b/docs/pyplots/examples/05_VectorJoystick1d.py index 6d92ed6c3..c1bc316c5 100644 --- a/docs/pyplots/examples/05_VectorJoystick1d.py +++ b/docs/pyplots/examples/05_VectorJoystick1d.py @@ -27,7 +27,7 @@ AXIS = np.tile(axis,(N,1)) # always same anchor # N-times evalulation of the field with different inputs -Bv = magpy.vector.getBv_magnet('box',MAG,DIM,POSo,POSm,[angs],[AXIS],[ANCH]) +Bv = magpy.vector.getBv_magnet('box',MAG,DIM,POSm,POSo,[angs],[AXIS],[ANCH]) # plot field plt.plot(angs,Bv[:,0]) From 0fb03ad45d70a983b3af8da27d776b6e9b6184ef Mon Sep 17 00:00:00 2001 From: Michael Ortner <magpylib@gmail.com> Date: Fri, 22 Jan 2021 14:51:36 +0100 Subject: [PATCH 0011/1387] magpylib3_clean_dev --- .circleci/config.yml | 61 -- .github/ISSUE_TEMPLATE/bug_report.md | 41 -- .github/ISSUE_TEMPLATE/feature_request.md | 20 - .github/PULL_REQUEST_TEMPLATE.md | 4 - .gitignore | 129 ---- CHANGELOG.md | 177 ----- LICENSE | 661 ------------------ MANIFEST.in | 2 - Makefile | 22 - README.md | 76 -- appveyor.yml | 64 -- azure-pipelines.yml | 34 - docs/Makefile | 20 - docs/README.md | 59 -- docs/_pages/0_documentation.rst | 567 --------------- docs/_pages/1_how2install.rst | 106 --- docs/_pages/2_guideExamples.rst | 158 ----- docs/_pages/3_MATLAB.rst | 64 -- 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tests/test_sources/test_currents/test_Line.py delete mode 100644 tests/test_sources/test_getB_vectorInput.py delete mode 100644 tests/test_sources/test_magnets/test_Box.py delete mode 100644 tests/test_sources/test_magnets/test_Cylinder.py delete mode 100644 tests/test_sources/test_magnets/test_Sphere.py delete mode 100644 tests/test_sources/test_moments/test_Dipole.py delete mode 100644 tests/test_tarcisBug.py delete mode 100644 tests/test_utility.py delete mode 100644 tox.ini diff --git a/.circleci/config.yml b/.circleci/config.yml deleted file mode 100644 index d24563ab5..000000000 --- a/.circleci/config.yml +++ /dev/null @@ -1,61 +0,0 @@ -version: 2.1 -workflows: - build_and_deploy: - jobs: - - build: - filters: - tags: - only: /.*/ - - deploy: - requires: - - build - filters: - tags: - only: /[0-9]+(?:\.[0-9]+)*(?:\-beta*|\-alpha*|\-rc)*(?:[0-9]+)*/ - branches: - ignore: /.*/ - -jobs: - build: - docker: - - image: python:3 - steps: - - checkout - - run: - name: Install Testing Env - command: mkdir test-results && pip install tox - - run: - name: Run Test Suite - command: tox - deploy: - docker: - - image: python:3 - steps: - - checkout - - run: - name: install python dependencies - command: | - python3 -m venv venv - . venv/bin/activate - make dev - - run: - name: verify git tag vs. version - command: | - python3 -m venv venv - . venv/bin/activate - python setup.py verify - - run: - name: init .pypirc - command: | - echo -e "[pypi]" >> ~/.pypirc - echo -e "username: magpylib" >> ~/.pypirc - echo -e "password: $PYPI_PASSWORD" >> ~/.pypirc - - run: - name: create packages - command: | - make package - - run: - name: upload to pypi - command: | - . venv/bin/activate - twine upload --repository pypi dist/* diff --git a/.github/ISSUE_TEMPLATE/bug_report.md b/.github/ISSUE_TEMPLATE/bug_report.md deleted file mode 100644 index 1ee4b4181..000000000 --- a/.github/ISSUE_TEMPLATE/bug_report.md +++ /dev/null @@ -1,41 +0,0 @@ ---- -name: Bug report -about: Create a report to help improve magpylib! -title: "[BUG] - " -labels: '' -assignees: '' - ---- - -**Describe the bug** -A clear and concise description of what the bug is. - -**To Reproduce** -Steps to reproduce the behavior: - -```python -### Please provide either (or both): -## - a step-by-step description of how to reproduce the issue -## - a code excerpt, that can be run by itself, which reproduces the issue -``` - -**Expected behavior** -A clear and concise description of what you expected to happen. - -**Screenshots** -If applicable, add screenshots to help explain your problem. - -**Desktop (please complete the following information):** - - OS: [e.g. Linux 32bit] - - IDE [e.g. Spyder, PyCharm] - -**pip freeze output** -Please run the `pip freeze` command in your python interpreter's environment and paste the output below. - -``` -pip freeze output: -[ PASTE IT HERE ] -``` - -**Additional context** -Add any other context about the problem here. diff --git a/.github/ISSUE_TEMPLATE/feature_request.md b/.github/ISSUE_TEMPLATE/feature_request.md deleted file mode 100644 index e97839ca0..000000000 --- a/.github/ISSUE_TEMPLATE/feature_request.md +++ /dev/null @@ -1,20 +0,0 @@ ---- -name: Feature request -about: Suggest something for magpylib! -title: "[REQUEST]" -labels: '' -assignees: '' - ---- - -**Is your feature request related to some problem? If yes, please describe.** -A clear and concise description of what the problem is. Ex. I'm always frustrated when [...] - -**Describe the feature you'd like** -A clear and concise description of what you want to happen. - -**Describe alternatives or solutions you've considered** -A clear and concise description of any alternative solutions or features you've considered. - -**Additional context** -Add any other context or screenshots about the feature request here. diff --git a/.github/PULL_REQUEST_TEMPLATE.md b/.github/PULL_REQUEST_TEMPLATE.md deleted file mode 100644 index 7bcadbae4..000000000 --- a/.github/PULL_REQUEST_TEMPLATE.md +++ /dev/null @@ -1,4 +0,0 @@ -# Related Issues - -# Notes - diff --git a/.gitignore b/.gitignore deleted file mode 100644 index 6e8a158f9..000000000 --- a/.gitignore +++ /dev/null @@ -1,129 +0,0 @@ - -# Created by https://www.gitignore.io/api/python -# Edit at https://www.gitignore.io/?templates=python - -### Python ### -# Byte-compiled / optimized / DLL files -__pycache__/ -*.py[cod] -*$py.class - -# C extensions -*.so - -# Distribution / packaging -.Python -build/ -develop-eggs/ -dist/ -downloads/ -eggs/ -.eggs/ -lib/ -lib64/ -parts/ -sdist/ -var/ -wheels/ -share/python-wheels/ -*.egg-info/ -.installed.cfg -*.egg -MANIFEST - -# PyInstaller -# Usually these files are written by a python script from a template -# before PyInstaller builds the exe, so as to inject date/other infos into it. -*.manifest -*.spec - -# Installer logs -pip-log.txt -pip-delete-this-directory.txt - -# Unit test / coverage reports -htmlcov/ -test-results/ -.tox/ -.nox/ -.coverage -.coverage.* -.cache -nosetests.xml -coverage.xml -*.cover -.hypothesis/ -.pytest_cache/ - -# Translations -*.mo -*.pot - -# Django stuff: -*.log -local_settings.py -db.sqlite3 - -# Flask stuff: -instance/ -.webassets-cache - -# Scrapy stuff: -.scrapy - -# Sphinx documentation -docs/_build/ -docs/_autogen/ -# PyBuilder -target/ - -# Jupyter Notebook -.ipynb_checkpoints - -# IPython -profile_default/ -ipython_config.py - -# pyenv -.python-version - -# celery beat schedule file -celerybeat-schedule - -# SageMath parsed files -*.sage.py - -# Environments -.vscode/ -.env -.venv -env/ -venv/ -ENV/ -env.bak/ -venv.bak/ - -# Spyder project settings -.spyderproject -.spyproject - -# Rope project settings -.ropeproject - -# mkdocs documentation -/site - -# mypy -.mypy_cache/ -.dmypy.json -dmypy.json - -# Pyre type checker -.pyre/ - -### Python Patch ### -.venv/ - - - -# End of https://www.gitignore.io/api/python diff --git a/CHANGELOG.md b/CHANGELOG.md deleted file mode 100644 index f2732ce07..000000000 --- a/CHANGELOG.md +++ /dev/null @@ -1,177 +0,0 @@ -# magpylib Changelog - -All notable changes to magpylib are documented here. - ---- - -# Releases - -## [2.3.0b] - 2020-01-17 - -### Changed -- Improved performance of getB for diametral magnetized Cylinders by 20%. -- GetB of Line current now uses vectorized code which leads to massive performance enhancement. -- **IMPORTANT:** position arguments of `getBv` functions have been flipped! First comes the source position POSm THEN the observer position POSo! -- - getB(pos) now takes single AND vector position arguments. If a vector is handed to getB it will automatically execute vectorized code from the vector module. - -### Added -- completed the library vector functionality adding magnet Cylinder, moment Dipole, current Circular and Line. This includes adding several private vectorized functions (e.g. ellipticV) to mathLib_vector, adding respective tests and docu examples. - ---- - -## [2.2.0b] - 2019-12-27 -- unreleased version - ---- - -## [2.1.0b] - 2019-12-06 - -### Added -- Docstrings for vector functions. -- displaySystem kwarg `figsize` -- bringing documentation up to speed - -### Fixes -- init file bug - ---- - -## [2.0.0b] - 2019-11-29 -### Changed -- Restructuring - - displaySystem is now a top-level function, not a Collection method anymore. - - getBsweep and multiprocessing options have been completely removed, this functionality - should be overtaken by the new vector functionality which uses the numpy native vectorized - code paradigm. If mkl library is set (test by numpy.show_config()) numpy will also - automatically use multiporcessing. Code parallelization at magpylib level should be done - by hand. -- Docstrings are adjusted to work better with intellisense. (Problems with *.rst code) -- public rotatePosition() is now called angleAxisRotation(), former private angleAxisRotation - is now called angleAxisRotation_priv(). -- Major rework of the documentation and examples. - -### Added -- Performance computation trough vector functionality included in new top-level subpackge "vector" -- Vectorized versions of math functions added to "math" subpackage - ---- - -## [1.2.1b0] - 2019-07-31 -### Changed -- Optimized getB call (utility integrated) -- Improved Documentation (added Sensor class v1) - ---- - -## [1.2.0b0] - 2019-07-16 -### Added -- Sensor Class - - This allows users to create a coordinate system-enabled Sensor object, which can be placed, rotated, moved and oriented. - - This object can take the B-Field of a system (be it single source or a Collection) with the added functionality of having its own reference in the coordinate space, allowing users to easily acquire relative B-Field measurements of a system from an arbitrarily placed sensor object. - - Sensors in a list may be displayed in the `Collection.displaySystem()` by using the `sensors` keyword argument. -- Added content to the `__repr__` builtin to all source classes for quick console evaluations, simply call a defined object in your Python shell to print out its attributes. -### Changed -- Edge cases in field calculations now return a proper [RuntimeWarning](https://docs.python.org/3/library/exceptions.html#RuntimeWarning) instead of console prints -### Fixed -- Unused imports and variables - ---- - -## [1.1.1b0] - 2019-06-25 -### Added -- Changelog -### Changed -- Change `Collection.displaySystem()` not having the `block=False` setting for matplotlib's `pyplot.show()` by default, this meant that outside interactive mode calling this function would hang the script until the plot was closed. - - If for some reason you want to block the application, you may still use `Collection.displaySystem()`'s `suppress=True` kwarg then call pyplot.show() normally. - - This should cause no API changes, if you have problems please notify us. - -### Fixed -- Fix multiprocessing enabled `Collection.getBsweep()` for lots of objects with few positions causing great performance loss. This functionality now behaves as expected for the use case. -- Fix `Collection.displaySystem()`'s drawing of Dipole objects in external axes (plots) using the `subplotAx` kwarg crashing the application. This functionality now behaves as expected for the use case. - ---- - -## [1.1.0b0] - 2019-06-14 -### Added -- Implemented one new kwarg for `Collection.displaySystem()`: - - > `subplotAx=None` - Draw into a subplot axe that already exists. The subplot needs to be 3D projected - - This allows for creating side-by-side plots using displaySystem. - Figure information must be set manually in pyplot.figure() in order to not squash the plots upon subplotting. - - - <details> - <summary> Click here for Example </summary> - - Code: https://gist.github.com/lucasgcb/77d55f2fda688e2fb8e1e4a68bb830b8 - - **Output:** -  - - </details> - -### Changed - -- `getBsweep()` for Collections and Sources now always returns a numpy array -- Zero-length segments in Line sources now return `[0,0,0]` and a warning, making it easier to draw spirals without letting users do this unaware. - -### Fixed -- Added a workaround fix for a rotation bug we are still working on. - ---- - -## [1.0.2b0] - 2019-05-29 - -### Added - -- `MANIFEST.in` file containing the LICENSE for bundling in PyPi - ---- - -## [1.0.1b0] - 2019-05-28 - -### Added - -- Issue and Pull Request Templates to Repository -- Continuous Integration settings (Azure and Appveyor) -- Code Coverage Reports with codecov - - - -### Removed - -- Support for Python 3.5 and under. - ---- - -## [1.0.0b0] - 2019-05-21 - -The first official release of the magpylib library. - -### Added - -- Source classes: - - Box - - Cylinder - - Sphere - - Circular Current - - Current Line - - Dipole -- Collection class - ---- - -[1.2.1b0]: https://github.com/magpylib/magpylib/compare/1.2.0-beta...1.2.1-beta -[1.2.0b0]: https://github.com/magpylib/magpylib/compare/1.1.1-beta...1.2.0-beta -[1.1.1b0]: https://github.com/magpylib/magpylib/compare/1.1.0-beta...1.1.1-beta -[1.1.0b0]: https://github.com/magpylib/magpylib/compare/1.0.1-beta...1.1.0-beta -[1.0.2b0]: https://github.com/magpylib/magpylib/compare/1.0.1-beta...1.0.2-beta -[1.0.1b0]: https://github.com/magpylib/magpylib/compare/1.0.0-beta...1.0.1-beta -[1.0.0b0]: https://github.com/magpylib/magpylib/releases/tag/1.0.0-beta - ---- - -The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), -and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). \ No newline at end of file diff --git a/LICENSE b/LICENSE deleted file mode 100644 index 29ebfa545..000000000 --- a/LICENSE +++ /dev/null @@ -1,661 +0,0 @@ - GNU AFFERO GENERAL PUBLIC LICENSE - Version 3, 19 November 2007 - - Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> - Everyone is permitted to copy and distribute verbatim copies - of this license document, but changing it is not allowed. - - Preamble - - The GNU Affero General Public License is a free, copyleft license for -software and other kinds of works, specifically designed to ensure -cooperation with the community in the case of network server software. - - The licenses for most software and other practical works are designed -to take away your freedom to share and change the works. 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-- Python package for calculating magnetic fields of magnets, currents and - moments (sources). -- Provides convenient methods to generate, geometrically manipulate, group - and vizualize assemblies of sources. -- The magnetic fields are determined from underlying (semi-analytical) - solutions which results in fast computation times and requires little - computation power. - -<p align="center"> - <img align='center' src=docs/_static/images/index/sourceFundamentals.png height="250"> -</p> - ---- - -### Dependencies: -_Python3.6+_, _Numpy_, _Matplotlib_ - ---- - -### Docu & Install: - -**Please check out our [documentation](https://magpylib.readthedocs.io/en/latest) for installation, examples and detailed information!** - -Installing this project using pip: - ``` - pip install magpylib - ``` - -Installing this project locally: -- Clone this repository to your machine. -- In the directory, run `pip install .` in your conda terminal. - - - - diff --git a/appveyor.yml b/appveyor.yml deleted file mode 100644 index f1ae50caf..000000000 --- a/appveyor.yml +++ /dev/null @@ -1,64 +0,0 @@ -# appveyor.yml ---- -branches: - only: - - master - -environment: - matrix: - - - PYTHON: "C:\\Python36" - PYTHON_VERSION: "3.6.x" # currently 3.6.5 - PYTHON_ARCH: "32" - - - PYTHON: "C:\\Python36-x64" - PYTHON_VERSION: "3.6.x" # currently 3.6.5 - PYTHON_ARCH: "64" - - - PYTHON: "C:\\Python37" - PYTHON_VERSION: "3.7.0" - PYTHON_ARCH: "32" - - - PYTHON: "C:\\Python37-x64" - PYTHON_VERSION: "3.7.0" - PYTHON_ARCH: "64" - -build: off - -install: - ## This install step is modified from - ## https://github.com/ogrisel/python-appveyor-demo/blob/master/appveyor.yml - ## for getting all Python versions through. - - # Install Python (from the official .msi of https://python.org) and pip when - # not already installed. - - ps: if (-not(Test-Path($env:PYTHON))) { & appveyor\install.ps1 } - - # Prepend newly installed Python to the PATH of this build (this cannot be - # done from inside the powershell script as it would require to restart - # the parent CMD process). - - "SET PATH=%PYTHON%;%PYTHON%\\Scripts;%PATH%" - - # Check that we have the expected version and architecture for Python - - "python --version" - - "python -c \"import struct; print(struct.calcsize('P') * 8)\"" - - # Upgrade to the latest version of pip to avoid it displaying warnings - # about it being out of date. - - "python -m pip install --upgrade pip" - - # Install the build dependencies of the project. If some dependencies contain - # compiled extensions and are not provided as pre-built wheel packages, - # pip will build them from source using the MSVC compiler matching the - # target Python version and architecture - - "%CMD_IN_ENV% pip install ." - - "%CMD_IN_ENV% pip install pytest" - -test_script: - # Run the project tests and store results in .xml log - - - ps: | - # this produces nosetests.xml which is uploaded on_finish - &$env:PYTHON\python -m pytest - if ($LastExitCode -ne 0) { $host.SetShouldExit($LastExitCode) } - diff --git a/azure-pipelines.yml b/azure-pipelines.yml deleted file mode 100644 index 6a522ad0c..000000000 --- a/azure-pipelines.yml +++ /dev/null @@ -1,34 +0,0 @@ -# Python package -# Create and test a Python package on multiple Python versions. -# Add steps that analyze code, save the dist with the build record, publish to a PyPI-compatible index, and more: -# https://docs.microsoft.com/azure/devops/pipelines/languages/python - -trigger: -- master -- development -- feature/* - -pool: - vmImage: 'vs2017-win2016' -strategy: - matrix: - Python36: - python.version: '3.6' - Python37: - python.version: '3.7' - -steps: -- task: UsePythonVersion@0 - inputs: - versionSpec: '$(python.version)' - displayName: 'Use Python $(python.version)' - -- script: | - python -m pip install --upgrade pip - pip install . - displayName: 'Install dependencies' - -- script: | - pip install pytest pytest-azurepipelines - pytest - displayName: 'pytest' diff --git a/docs/Makefile b/docs/Makefile deleted file mode 100644 index c794a6b41..000000000 --- a/docs/Makefile +++ /dev/null @@ -1,20 +0,0 @@ -# Minimal makefile for Sphinx documentation -# - -# You can set these variables from the command line. -SPHINXOPTS = -SPHINXBUILD = sphinx-build -SOURCEDIR = . -BUILDDIR = _build - -# Put it first so that "make" without argument is like "make help". -help: - @$(SPHINXBUILD) -M help "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O) - -.PHONY: help Makefile - -# Catch-all target: route all unknown targets to Sphinx using the new -# "make mode" option. $(O) is meant as a shortcut for $(SPHINXOPTS). -%: Makefile - @pip install -r ./requirements.txt - @$(SPHINXBUILD) -M $@ "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O) \ No newline at end of file diff --git a/docs/README.md b/docs/README.md deleted file mode 100644 index 57c647aea..000000000 --- a/docs/README.md +++ /dev/null @@ -1,59 +0,0 @@ -## About magPyLib Documentation - -- Documentation is done with [Sphinx](http://www.sphinx-doc.org/en/master/) v1.8.2. -- Sphinx configuration is [conf.py](./conf.py); -- Docstring format is under the [Numpy Convention](https://sphinxcontrib-napoleon.readthedocs.io/en/latest/example_numpy.html). -- Sphinx is configured to read Docstring information from the codebase and convert it into pages utilizing the [autodoc extension](http://www.sphinx-doc.org/en/master/usage/extensions/autodoc.html). - - - These generated files are created at build time and put into a folder called `_autogen` - -- Handwritten document pages and guides are kept in the [_pages](./_pages) folder. - - They use a combination of [Markdown](https://commonmark.org/help/) and [restructuredText](http://docutils.sourceforge.net/docs/ref/rst/directives.html), utilizing [recommonmark](https://github.com/rtfd/recommonmark) as interface. - - These documents are converted to `.html` files by Sphinx during build time. - -- Example code with visual output **generated during build time** are kept in the [pyplots](./pyplots) folder. - - This utilizes the Matplotlib's [plot directive for restructuredText](https://matplotlib.org/devel/plot_directive.html), placing the code and its graphical output when it is referenced within the directive in the documentation pages. - -- Images, web code and videos are kept in the [_static](./_static) folder. - ---- - -### Building Locally - -This repository is set up to be easily built on [ReadTheDocs](https://readthedocs.org/) as the codebase is updated. - -##### To build locally on Linux, - -1. [Install Sphinx](http://www.sphinx-doc.org/en/master/usage/installation.html) -2. Install the dependencies on [requirements.txt](./requirements.txt): - ``` - pip install requirements.txt - ``` - - -3. Run [make](http://man7.org/linux/man-pages/man1/make.1.html) to build the documentation: - - ```bash - - make html - ``` - -This will create a `_build` folder with an `index.html`, containing the built documentation webpage structure. - ---- - -##### To build locally on Windows, - -1. [Install Sphinx](http://www.sphinx-doc.org/en/master/usage/installation.html) -2. Install the dependencies on [requirements.txt](./requirements.txt): - ``` - pip install -r requirements.txt - ``` - -3. Build the documentation with the `.bat` script: - - ```bash - - make.bat html - ``` - diff --git a/docs/_pages/0_documentation.rst b/docs/_pages/0_documentation.rst deleted file mode 100644 index b96882346..000000000 --- a/docs/_pages/0_documentation.rst +++ /dev/null @@ -1,567 +0,0 @@ -.. _docu: - -****************************** -Documentation v2.3.0b -****************************** - -The idea behind magpylib is to provide a simple and easy-to-use interface for computing the magnetic field of magnets, currents and moments. The computations are based on (semi-)analytical solutions found in the literature, discussed in the :ref:`physComp` section. - -Contents -######## - -* :ref:`docu-PackageStructure` -* :ref:`docu-unitsAndIO` -* :ref:`docu-sourceClass` - - * :ref:`docu-posOrient` - * :ref:`docu-DimExc` - * :ref:`docu-GeoManip` - -* :ref:`docu-CalcBfield` - - * :ref:`docu-vector` - -* :ref:`docu-collection` -* :ref:`docu-sensor` -* :ref:`docu-displaySystem` -* :ref:`docu-math` - - -.. _docu-PackageStructure: - -Package Structure -################# - -The top level of magpylib contains the sub-packages and :mod:`~magpylib.source`, :mod:`~magpylib.vector` and :mod:`~magpylib.math`, the classes :class:`magpylib.Collection` and :class:`magpylib.Sensor` as well as the function :meth:`magpylib.displaySystem`. - -1. The **source module** includes a set of classes that represent physical sources of the magnetic field (e.g. permanent magnets). - -2. The **vector module** includes functions for performance computation. - -3. The **math module** contains practical functions for working with angle-axis rotations and transformation to and from Euler angle representation. - -4. The **Collection class** is used to group sources and for common manipulation. - -5. The **Sensor class** represents a 3D magnetic sensor. - -6. The **displaySystem function** is used to create a graphical output of the system geometry. - -.. figure:: ../_static/images/documentation/lib_structure.png - :align: center - :alt: Library structure fig missing !!! - :figclass: align-center - :scale: 60 % - - **Figure:** Outline of library structure. - -Check out the :ref:`genindex` and :ref:`modindex` for more details. - - -.. _docu-unitsAndIO: - -Units and IO types -################## - -In magpylib all inputs and outputs are made in the physical units of - -- **Millimeter** for lengths -- **Degree** for angles -- **Millitesla** for magnetization/remanence, magnetic moment and magnetic field, -- **Ampere** for currents. - -Unless specifically state otherwise in the docstring (see vector package), **scalar input** can be of ``int`` or ``float`` type and **vector/matrix input** can be given either in the form of a ``list``, as a ``tuple`` or as a ``numpy.array``. - -The library output and all object attributes are either of ``numpy.float64`` or ``numpy.array64`` type. - - -.. _docu-sourceClass: - -The Source Class -################# - -This is the core class of the library. The idea is that source objects represent physical magnetic field sources in Cartesian three-dimensional space. The following source types are currently implemented, - -.. figure:: ../_static/images/documentation/SourceTypes.png - :align: center - :scale: 60 % - - **Figure:** Source types currently available in magpylib. - -All source objects share various attributes and methods. The attributes characterize the source (e.g. position, orientation, dimension) while the methods can be used for geometric manipulation and for calculating the magnetic field. The figure below gives a graphical overview. - -.. figure:: ../_static/images/documentation/sourceVarsMethods.png - :align: center - :scale: 60 % - - **Figure:** Illustration of attributes and methods of the source class objects. - - -.. _docu-posOrient: - -Position and Orientation ------------------------- -The most fundamental properties of a source object ``s`` are position and orientation which are represented through the attributes ``s.position`` (*arr3*), ``s.angle`` (*float*) and ``s.axis`` (*arr3*). At source initialization, if no values are specified, the source object is initialized by default with ``position=(0,0,0)``, and **init orientation** defined to be ``angle=0`` and ``axis=(0,0,1)``. - -Due to their different nature each source type is characterized by different attributes. However, in general the ``position`` attribute refers to the position of the geometric center of the source. The **init orientation** generally defines sources standing upright oriented along the Cartesian coordinates axes, see e.g. the following image below. - -An orientation of a source ``s`` given by (``angle``, ``axis`` ) refers to a rotation of ``s`` RELATIVE TO the **init orientation** about an axis specified by the ``s.axis`` vector which is anchored at ``s.position``. The angle of this rotation is given by the ``s.angle`` attribute. Mathematically, every possible orientation can be expressed by such a single angle-axis rotation. For easier use of the angle-axis rotation and transformation to Euler angles the :ref:`docu-math` provides some useful methods. - -.. figure:: ../_static/images/documentation/sourceOrientation.png - :align: center - :scale: 50 % - - **Figure:** Illustration of the angle-axis system used to describe source orientations. - - -.. _docu-DimExc: - -Dimension & Excitation --------------------- - -While position and orientation have default values, a source is defined through its geometry (e.g. cylinder) and excitation (e.g. magnetization vector) which must be initialized to provide meaning. - -The ``dimension`` input specifies the size of the source. However, as each source type requires different input parameters the format is always different: - -* ``Box.dimension`` is a 3D array of the cuboid sides, *[a,b,c]* -* ``Cylinder.dimension`` is a 2D array of diameter and height, *[d,h]* -* ``Sphere.dimension`` is a float describing the diameter *d* -* ``Facet.dimension`` is a 3x3 array of the three corner vertices, *[A,B,C]* -* ``Line.dimension`` is a Nx3 array of N subsequent vertices, *[V1,V2,V3,...]* -* ``Circular.dimension`` is a float describing the diameter *d* - -.. figure:: ../_static/images/documentation/sourceGeometry.png - :align: center - :scale: 50 % - - **Figure:** Illustration of information given by the dimension-attribute. The source positions (typically the geometric center) are indicated by the red dot. - -The excitation of a source is either the ``magnetization``, the ``current`` or the magnetic ``moment``: - -* Magnet sources represent homogeneously magnetized permanent magnets (other types with radial or multipole magnetization are not implemented at this point). Such excitations are given by the ``magnetization`` (*vec3*) input which is always given with respect to the **init orientation** of the magnet. -* Current sources represent electrical line currents. Their excitation is simply the electrical current in units of Ampere defined by the ``current`` (*float*) input. -* The moment class represents a magnetic dipole moment described by the ``moment`` (*vec3*) input. - -Detailed information about the attributes of each specific source type and how to initialize them can also be found in the respective class docstrings: -:mod:`~magpylib.source.magnet.Box`, :mod:`~magpylib.source.magnet.Cylinder`, :mod:`~magpylib.source.magnet.Sphere`, :mod:`~magpylib.source.magnet.Facet`, :mod:`~magpylib.source.current.Line`, :mod:`~magpylib.source.current.Circular`, :mod:`~magpylib.source.moment.Dipole` - -.. note:: - For convenience the attributes ``magnetization``, ``current``, ``dimension`` and ``position`` are initialized through the keywords ``mag``, ``curr``, ``dim`` and ``pos``. - -The following code shows how to initialize a source object, a D4H5 permanent magnet cylinder with diagonal magnetization, positioned with the center in the origin, standing upright with axis in z-direction. - -.. code-block:: python - - from magpylib.source.magnet import Cylinder - - s = Cylinder( mag = [500,0,500], # The magnetization vector in mT. - dim = [4,5]) # dimension (diameter,height) in mm. - - # no pos, angle, axis specified so default values are used - - print(s.magnetization) # Output: [500. 0. 500.] - print(s.dimension) # Output: [4. 5.] - print(s.position) # Output: [0. 0. 0.] - print(s.angle) # Output: 0.0 - print(s.axis) # Output: [0. 0. 1.] - -.. figure:: ../_static/images/documentation/Source_Display.JPG - :align: center - :scale: 50 % - - **Figure:** Magnet geometry created by above code: A cylinder which stands upright with geometric center at the origin. - - -.. _docu-GeoManip: - -Methods for Geometric Manipulation ----------------------------------- - -In most cases we want to move the source to a designated position, orient it in a desired way or change its dimension dynamically. There are several ways to achieve this: - -**At initialization:** - -When initializing the source we can set all attributes as desired. So instead of *moving one source around* one could create a new source for each parameter set of interest. - -**Manipulation after initialization:** - -We initialize the source and manipulate it afterwards as desired by - -1. directly setting the source attributes (e.g. ``s.position=newPosition``), -2. or by using provided methods of manipulation. - -The latter is often the most practical and intuitive way. To this end the source class provides a set of methods for convenient geometric manipulation. The methods include ``setPosition`` and ``move`` for translation of the objects as well as ``setOrientation`` and ``rotate`` for rotation operations. Upon application they will simply modify the source object attributes accordingly. - -* ``s.setPosition(newPos)``: Moves the source to the position given by the argument vector (``s.position`` -> ``newPos``) -* ``s.move(displacement)``: Moves the source by the argument vector. (``s.position`` -> ``s.position + displacement``) -* ``s.setOrientation(angle,axis)``: Sets a new source orientation given by the arguments. (``s.angle``-> ``angle``, ``s.axis`` -> ``axis``) -* ``s.rotate(ang,ax,anchor=anch)``: Rotates the source object by the angle ``ang`` about the axis ``ax`` which passes through a position given by ``anch``. As a result, source position and orientation attributes are modified. If no value for anchor is specified, the anchor is set to the object position, which means that the object rotates about itself. - -The following videos show the application of the four methods for geometric manipulation. - -|move| |setPosition| - -.. |setPosition| image:: ../_static/images/documentation/setPosition.gif - :width: 45% - -.. |move| image:: ../_static/images/documentation/move.gif - :width: 45% - -|rotate| |setOrientation| - -.. |setOrientation| image:: ../_static/images/documentation/setOrientation.gif - :width: 45% - -.. |rotate| image:: ../_static/images/documentation/rotate.gif - :width: 45% - -The following example code shows how geometric operations are applied to source objects. - -.. code-block:: python - - from magpylib.source.magnet import Cylinder - - s = Cylinder( mag = [500,0,500], dim = [4,5]) - - print(s.position) # Output: [0. 0. 0.] - - s.move([1,2,3]) - print(s.position) # Output: [1. 2. 3.] - - s.move([1,2,3]) - print(s.position) # Output: [2. 4. 6.] - - -.. _docu-CalcBfield: - -Calculating the Magnetic Field -############################## - -To calculate the field, magpylib uses mostly analytical expressions that can be found in the literature. References, validity and discussion of these solutions can be found in the :ref:`physComp` section. In a nutshell, the fields of the dipole and the currents are exact. The analytical magnet solutions deal with homogeneous, fixed magnetizations. For hard ferromagnets with large coercive fields like Ferrite, Neodyme and SmCo the error is typically below 2%. - -There are two possibilities to calculate the magnetic field of a source object ``s``: - -1. Using the ``s.getB(pos)`` method -2. Using the ``magpylib.vector`` subpackage - -**The first method:** Each source object (or collection) ``s`` has a method ``s.getB(pos)`` which returns the magnetic field generated by ``s`` at the position ``pos``. - -.. code-block:: python - - from magpylib.source.magnet import Cylinder - s = Cylinder( mag = [500,0,500], dim = [4,5]) - print(s.getB([4,4,4])) - - # Output: [ 7.69869084 15.407166 6.40155549] - - -.. _docu-vector: - -Using magpylib.vector ---------------------- - -**The second method:** In most cases one will be interested to determine the field for a set of positions, or for different magnet positions and orientations. While this can manually be achieved by looping ``s.getB`` this is computationally inefficient. For performance computation the ``magpylib.vector`` subpackage contains the ``getBv`` functions that offer quick access to VECTORIZED CODE. A discussion of vectorization, SIMD and performance is presented in the :ref:`physComp` section. - -The ``magpylib.vector.getBv`` functions evaluate the field for *N* different sets of input parameters. These *N* parameter sets are provided to the ``getBv`` functions as arrays of size *N* for each input (e.g. an *Nx3* array for the *N* different positions): - -``getBv_magnet(type, MAG, DIM, POSo, POSm, [angs1,angs2,...], [AXIS1,AXIS2,...], [ANCH1,ANCH2,...])`` - -* ``type`` is a string that specifies the magnet geometry (e.g. *'box'* or *'sphere'*). -* ``MAG`` is an *Nx3* array of magnetization vectors. -* ``DIM`` is an *Nx3* array of magnet dimensions. -* ``POSo`` is an *Nx3* array of observer positions. -* ``POSm`` is an *Nx3* array of initial (before rotation) magnet positions. -* The inputs ``[angs1, angs2, ...]``, ``[AXIS1, AXIS2, ...]``, ``[ANCH1, ANCH2, ...]`` are a lists of *N*/*Nx3* arrays that correspond to angles, axes and anchors of rotation operations. By providing multiple list entries one can apply subsequent rotation operations. By ommitting these inputs it is assumed that no rotations are applied. - -As a rule of thumb, ``s.getB()`` will be faster than ``getBv`` for ~5 or less field evaluations while the vectorized code will be up to ~100 times faster for 10 or more field evaluations. To achieve this performance it is critical that one follows the vectorized code paradigm (use only numpy native) when creating the ``getBv`` inputs. This is demonstrated in the following example where the magnetic field at a fixed observer position is calculated for a magnet that moves linearly in x-direction above the observer. - -.. code-block:: python - - import magpylib as magpy - import numpy as np - - # vector size: we calculate the field N times with different inputs - N = 1000 - - # Constant vectors, specify dtype - mag = np.array([0,0,1000.]) # magnet magnetization - dim = np.array([2,2,2.]) # magnet dimension - poso = np.array([0,0,-4.]) # position of observer - - # magnet x-positions - xMag = np.linspace(-10,10,N) - - # magpylib classic --------------------------- - - Bc = np.zeros((N,3)) - for i,x in enumerate(xMag): - s = magpy.source.magnet.Box(mag,dim,[x,0,0]) - Bc[i] = s.getB(poso) - - # magpylib vector --------------------------- - - # Vectorizing input using numpy native instead of python loops - MAG = np.tile(mag,(N,1)) - DIM = np.tile(dim,(N,1)) - POSo = np.tile(poso,(N,1)) - POSm = np.c_[xMag,np.zeros((N,2))] - - # Evaluation of the N fields using vectorized code - Bv = magpy.vector.getBv_magnet('box',MAG,DIM,POSo,POSm) - - # result ----------------------------------- - # Bc == Bv ... up to some 1e-16 - # Copare classic and vector computation times using e.g. time.perf_counter() - -More examples of vectorized code can be found in the :ref:`examples-vector` section. - -.. warning:: - The functions included in the ``magpylib.vector`` package do not check the input format. All input must be in the form of numpy arrays. - - -.. _docu-collection: - -Collections -########### - -The idea behind the top level :class:`magpylib.Collection` class is to group multiple source objects for common manipulation and evaluation of the fields. - -In principle a collection ``c`` is simply a list of source objects that are collected in the attribute ``c.sources`` (*list*). Operations applied individually to the collection will be applied to all sources that are part of the collection. - -Collections can be constructed at initialization by simply giving the sources objects as arguments. It is possible to add single sources, lists of multiple sources and even other collection objects. All sources are simply added to the ``sources`` attribute of the target collection. - -With the collection kwarg ``dupWarning=True``, adding multiples of the same source will be prevented, and a warning will be displayed informing the user that a source object is already in the collection's ``source`` attribute. Adding the same object multiple times can be done by setting ``dupWarning=False``. - -In addition, the collection class features methods to add and remove sources for command line like manipulation. The method ``c.addSources(*sources)`` will add all sources given to it to the collection ``c``. The method ``c.removeSource(ref)`` will remove the referenced source from the collection. Here the ``ref`` argument can be either a source or an integer indicating the reference position in the collection, and it defaults to the latest added source in the collection. - -.. code-block:: python - - import magpylib as magpy - - #define some magnet objects - mag1 = magpy.source.magnet.Box(mag=[1,2,3],dim=[1,2,3]) - mag2 = magpy.source.magnet.Box(mag=[1,2,3],dim=[1,2,3],pos=[5,5,5]) - mag3 = magpy.source.magnet.Box(mag=[1,2,3],dim=[1,2,3],pos=[-5,-5,-5]) - - #create/manipulate collection and print source positions - c = magpy.Collection(mag1,mag2,mag3) - print([s.position for s in c.sources]) - #OUTPUT: [array([0., 0., 0.]), array([5., 5., 5.]), array([-5., -5., -5.])] - - c.removeSource(1) - print([s.position for s in c.sources]) - #OUTPUT: [array([0., 0., 0.]), array([-5., -5., -5.])] - - c.addSources(mag2) - print([s.position for s in c.sources]) - #OUTPUT: [array([0., 0., 0.]), array([-5., -5., -5.]), array([5., 5., 5.])] - -All methods of geometric operation, ``setPosition``, ``move``, ``setOrientation`` and ``rotate`` are also methods of the collection class. A geometric operation applied to a collection is directly applied to each object within that collection individually. In practice this means that a whole group of magnets can be rotated about a common pivot point with a single command. - -For calculating the magnetic field that is generated by a whole collection the method ``getB`` is also available. The total magnetic field is simply given by the superposition of the fields of all sources. - -|Collection| |total Field| - -.. |Collection| image:: ../_static/images/documentation/collectionExample.gif - :width: 45% - -.. |total Field| image:: ../_static/images/documentation/collectionAnalysis.png - :width: 50% - -**Figure:** *Collection Example. Circular current sources are grouped into a collection to form a coil. The whole coil is then geometrically manipulated and the total magnetic field is calculated and shown in the xz-plane.* - - -.. _docu-sensor: - -The Sensor Class -################ - -The ``getB`` method will always calculate the field in the underlying canonical basis. But often one is dealing with moving and tilting sensors. For this magpylib also offers a :class:`magpylib.Sensor` class. - -Geometrically, a sensor object ``sens`` behaves just like a source object, having position and orientation attributes that can be set using the convenient methods ``sens.setPosition``, ``sens.move``, ``sens.setOrientation`` and ``sens.rotate``. - -To return the field of the source ``s`` as seen by the sensor one can use the method ``sens.getB(s)``. Here ``s`` can be a source object or a collection of sources. - -.. code-block:: python - - import magpylib as magpy - - # define sensor - sens = magpy.Sensor(pos=[5,0,0]) - - # define source - s = magpy.source.magnet.Sphere(mag=[123,0,0],dim=5) - - # determine sensor-field - B1 = sens.getB(s) - - # rotate sensor about itself (no anchor specified) - sens.rotate(90,[0,0,1]) - - # determine sensor-field - B2 = sens.getB(s) - - # print fields - print(B1) # output: [10.25 0. 0.] - print(B2) # output: [0. -10.25 0.] - - -.. _docu-displaySystem: - -Display System Graphically -############################ - -Then top level function ``displaySystem(c)`` can be used to quickly check the geometry of a source-sensor-marker assembly graphically in a 3D plot. Here ``c`` can be a source, a list of sources or a collection. ``displaySystem`` uses the matplotlib package and its limited capabilities of 3D plotting which often results in bad object overlapping. - -``displaySystem(c)`` comes with several keyword arguments: - -* ``markers=listOfPos`` for displaying designated reference positions. By default a marker is set at the origin. By providing ``[a,b,c,'text']`` instead of just a simple position vector ``'text'`` is displayed with the marker. -* ``suppress=True`` for suppressing the immediate figure output when the function is called. To do so it is necessary to deactivate the interactive mode by calling ``pyplot.ioff()``. With `Spyder's <https://www.spyder-ide.org/>`_ IPython *Inline* plotting, graphs made with :meth:`~magpylib.displaySystem()` can be blank if the ``suppress=True`` option is not used. Set IPython Graphics backend to *Automatic* or *Qt5* instead of *Inline* in settings/IPython console/Graphics method to address this. -* ``direc=True`` for displaying current and magnetization directions in the figure. -* ``subplotAx=None`` for displaying the plot on a designated figure subplot instance. -* ``figsize=(8,8)`` for setting the size of the output graphic. - -The following example code shows how to use ``displaySystem()``: - -.. plot:: pyplots/doku/displaySys.py - :include-source: - - **Figure:** Several magnet and sensor objects are created and manipulated. Using ``displaySystem()`` they are shown in a 3D plot together with some markers which allows one to quickly check if the system geometry is ok. - - - -.. _docu-complexMagnet: - -Complex Magnet Geometries -########################### - -As a result of the superposition principle complex magnet shapes and inhomogeneous magnetizations can be generated by combining multiple sources. Specifically, when two magnets overlap in this region a *vector union* applies. This means that in the overlap the magnetization vector is given by the sum of the two vectors of each object. - -.. figure:: ../_static/images/documentation/superposition.png - :align: center - :scale: 50 % - - **Figure:** Schematic of the *vector union* principle for magnetizations. - -Geometric addition is simply achieved by placing magnets with similar magnetization next to each other. Subtraction is realized by placing a small magnet with opposite magnetization inside a large magnet. The magnetization vectors cancel in the overlap, meaning that a small volume is cut out from a larger one. An example of a hollow cylinder is given in the examples section: :ref:`examples-complexShapes`. - - - -.. _docu-math: - -Math Package -############### - -The math package provides several practical functions that relate angle-axis (quaternion) rotations with the Euler angle rotations. All functions are also available in their vectorized versions for performance computation. - -* ``anglesFromAxis(axis)``: This function takes an arbitrary ``axis`` argument (*vec3*) and returns its orientation given by the angles ``(phi, theta)`` that are defined as in spherical coordinates. ``phi`` is the azimuth angle and ``theta`` is the polar angle. - - .. code-block:: python - - import magpylib as magpy - - angles = magpy.math.anglesFromAxis([1,1,0]) - print(angles) - - # Output = [45. 90.] - -* ``anglesFromAxisV(AXIS)``: This is the vectorized version of ``anglesFromAxis``. It takes an *Nx3* array of axis-vectors and returns an *Nx2* array of angle pairs. Each angle pair is ``(phi,theta)`` which are azimuth and polar angle in a spherical coordinate system respectively. - - .. code-block:: python - - import numpy as np - import magpylib as magpy - - AX = np.array([[0,0,1],[0,0,1],[1,0,0]]) - ANGS = magpy.math.anglesFromAxisV(AX) - print(ANGS) - - # Output: [[0. 0.] [90. 90.] [0. 90.]]) - -* ``axisFromAngles(angles)``: This function generates an axis (*vec3*) from the angle pair ``angles=(phi,theta)``. Here ``phi`` is the azimuth angle and ``theta`` is the polar angle of a spherical coordinate system. - - .. code-block:: python - - import magpylib as magpy - - ax = magpy.math.axisFromAngles([90,90]) - print(ax) - - # Output: [0.0 1.0 0.0] - -* ``axisFromAnglesV(ANGLES)``: This is the vectorized version of ``axisFromAngles``. It generates an *Nx3* array of axis vectors from the *Nx2* array of input angle pairs ``angles``. Each angle pair is ``(phi,theta)`` which are azimuth and polar angle in a spherical coordinate system respectively. - - .. code-block:: python - - import magpylib as magpy - import numpy as np - - ANGS = np.array([[0,90],[90,180],[90,0]]) - AX = magpy.math.axisFromAnglesV(ANGS) - print(np.around(AX,4)) - - # Output: [[1. 0. 0.] [0. 0. -1.] [0. 0. 1.]] - - -* ``randomAxis()``: Designed for Monte Carlo simulations, this function returns a random axis (*arr3*) of length 1 with equal angular distribution. - - .. code-block:: python - - import magpylib as magpy - - ax = magpy.math.randomAxis() - print(ax) - - # Output: [-0.24834468 0.96858637 0.01285925] - - -* ``randomAxisV(N)``: This is the vectorized version of ``randomAxis``. It simply returns an *Nx3* array of random vectors. - - .. code-block:: python - - import magpylib as magpy - - AXS = magpy.math.randomAxisV(3) - print(AXS) - - #Output: [[ 0.39480364 -0.53600779 -0.74620757] - # [ 0.02974442 0.10916333 0.9935787 ] - # [-0.54639126 0.76659756 -0.33731997]] - - -* ``angleAxisRotation(pos, angle, axis, anchor=[0,0,0])``: This function applies an angle-axis rotation. The position vector ``pos`` (*vec3*) is rotated by the angle ``angle`` (*float*) about an axis defined by the ``axis`` vector (*vec3*) which passes through the ``anchor`` position (*vec3*). The anchor argument is optional and is set to ``anchor=[0,0,0]`` if ommitted. - - .. code-block:: python - - import magpylib as magpy - - pos = [1,1,0] - angle = -90 - axis = [0,0,1] - anchor = [1,0,0] - - posNew = magpy.math.angleAxisRotation(pos,angle,axis,anchor) - print(posNew) - - # Output = [2. 0. 0.] - - -* ``angleAxisRotationV(POS, ANG, AXS, ANCH)``: This is the vectorized version of ``angleAxisRotation``. Each entry of ``POS`` (*arrNx3*) is rotated according to the angles ``ANG`` (*arrN*), about the axis vectors ``AXS`` (*arrNx3*) which pass throught the anchors ``ANCH`` (*arrNx3*) where *N* refers to the length of the input vectors. - - .. code-block:: python - - import magpylib as magpy - import numpy as np - - POS = np.array([[1,0,0]]*5) # avoid this slow Python loop for performance conputation - ANG = np.linspace(0,180,5) - AXS = np.array([[0,0,1]]*5) # avoid this slow Python loop for performance conputation - ANCH = np.zeros((5,3)) - - POSnew = magpy.math.angleAxisRotationV(POS,ANG,AXS,ANCH) - print(np.around(POSnew,4)) - - # Output: [[ 1. 0. 0. ] - # [ 0.7071 0.7071 0. ] - # [ 0. 1. 0. ] - # [-0.7071 0.7071 0. ] - # [-1. 0. 0. ]] \ No newline at end of file diff --git a/docs/_pages/1_how2install.rst b/docs/_pages/1_how2install.rst deleted file mode 100644 index c3b2a7269..000000000 --- a/docs/_pages/1_how2install.rst +++ /dev/null @@ -1,106 +0,0 @@ -.. _installation: - -************************* -Installation -************************* - -.. warning:: - magpylib works only with Python 3.6 or later ! - - **Dependencies:** - - numpy - - matplotlib - The latest versions will be installed automatically with magpylib. - - -Content -####### - -* :ref:`install-pip` -* :ref:`install-win` -* :ref:`install-linux` -* :ref:`install-dl` - - - -.. _install-pip: - -Install with pip -################ - -The quickest installation on any platform is through pip. - -.. code-block:: console - - pip install magpylib - -If you are unfamiliar with pip, please follow the detailed guides below: - - - -.. _install-win: - -Windows -####### - -Anaconda 3 Install ------------------- - -If you have little experience with Python we recommand using `Anaconda <https://www.anaconda.com>`_. - -1. Download & install Anaconda3 -2. Start Anaconda Navigator -3. On the interface, go to `Environments` and choose the environment you wish to install magpylib in. For this example, we will use the base environment: - - .. image:: ../_static/images/install_guide/anaconda0.png - -4. Click the arrow, and open the conda terminal - - .. image:: ../_static/images/install_guide/anaconda1.png - -5. Input the following to install from conda-forge: - - .. code-block:: console - - conda install -c conda-forge magpylib - -6. Dont forget to select the proper environment in your IDE. - - .. image:: ../_static/images/install_guide/anaconda2.png - - -Clean Python 3 Install ----------------------- - -If you want to have a custom environment without using conda, you may simply install the library with pip. A simple guide for installation and functionality of pip is found `here <https://projects.raspberrypi.org/en/projects/using-pip-on-windows/5>`_ - - - -.. _install-linux: - -Linux -####### - -Recommended: use Anaconda environment. Simply download Anaconda3 and follow installation steps as under Windows. - -Terminal Python 3 Install --------------------------- - -1. Install Python3. -2. Open your Terminal and install with - - .. code-block:: console - - pip install magpylib - - -.. _install-dl: - -Download Sites -################# - -Currently magpylib is hosted at: - -* `Conda Cloud <https://anaconda.org/conda-forge/magpylib>`_ -* `Python Package Index <https://pypi.org/project/magpylib/>`_ -* `GitHub repository <https://github.com/magpylib/magpylib>`_ \ No newline at end of file diff --git a/docs/_pages/2_guideExamples.rst b/docs/_pages/2_guideExamples.rst deleted file mode 100644 index 8f3e50519..000000000 --- a/docs/_pages/2_guideExamples.rst +++ /dev/null @@ -1,158 +0,0 @@ -.. _examples: - -******************************* -Example Codes -******************************* - -This section includes a few code examples that show how the library can be used and what i can be used for. A detailed technical library documentation can be found in the :ref:`docu`. - - -Contents -######## - -* :ref:`examples-simplest` -* :ref:`examples-basic` -* :ref:`examples-sourceObjects` -* :ref:`examples-motionBasics` -* :ref:`examples-joystick` -* :ref:`examples-complexShapes` -* :ref:`examples-vector` - - - -.. _examples-simplest: - -Simplest Example -################# - -The simplest possible example - calculate the B-field of a cylinder with 3 lines of code. - -.. code-block:: python - - from magpylib.source.magnet import Cylinder - s = Cylinder( mag = [0,0,350], dim = [4,5]) - print(s.getB([4,4,4])) - - # Output: [ 5.08641867 5.08641867 -0.60532983] - - - -.. _examples-basic: - -Basic Functionality: The Field of a Collection -############################################### - -In this example the basic functionality is outlined. Two magnet objects are created and geometrically manipulated. The system geometry is then displayed using the ``displaySystem`` function. Finally, the field is calculated on a grid and displayed in the xz-plane. - -.. plot:: pyplots/examples/01_SimpleCollection.py - :include-source: - -:download:`01_SimpleCollection.py <../pyplots/examples/01_SimpleCollection.py>` - - - -.. _examples-sourceObjects: - -The Source Objects and their Fields -################################### - -In this example we define all currently implemented source objects and display their fields. Notice that the respective magnetization vectors are chosen arbitrarily. - -.. plot:: pyplots/examples/01b_AllSources.py - :include-source: - -:download:`01b_AllSources.py <../pyplots/examples/01b_AllSources.py>` - - - -.. _examples-motionBasics: - -Translation, Orientation and Rotation Basics -############################################# - -Translation of magnets can be realized in three ways, using the methods ``move`` and ``setPosition``, or by directly setting the object ``position`` attribute. - -.. plot:: pyplots/examples/00a_Trans.py - :include-source: - -:download:`00a_Trans.py <../pyplots/examples/00a_Trans.py>` - - -Initialize magnets with different orientations defined by classical Euler angle rotations about the three Cartesian axes. Notice that the magnetization direction is fixed with respect to the **init orientation** of the magnet and will rotate together with the magnet. - -.. plot:: pyplots/examples/00b_OrientRot1.py - :include-source: - -:download:`00b_OrientRot1.py <../pyplots/examples/00b_OrientRot1.py>` - - -The following example shows functionality beyond Euler angle rotation. This means rotation about an arbitrary axis of choice, here ``(1,-1,1)``. The upper three boxes are initialized with different orientations. The lower three boxes are all initialized with **init orientation** and are then rotated (about themselves) to achieve the same result as above. - -.. plot:: pyplots/examples/00c_OrientRot2.py - :include-source: - -:download:`00c_OrientRot2.py <../pyplots/examples/00c_OrientRot2.py>` - - -The following example shows rotations with designated anchor-axis combinations. Here we distinguish between pivot points (the closest point on the rotation axis to the magnet) and anchor points which are simply required to define an axis in 3D space (together with a direction). - -.. plot:: pyplots/examples/00d_OrientRot3.py - :include-source: - -:download:`00d_OrientRot3.py <../pyplots/examples/00d_OrientRot3.py>` - - -Collections can be manipulated using the previous logic as well. Notice how objects can be grouped into collections and sub-collections for common manipulation. For rotations keep in mind that if an anchor is not provided, all objects will rotate relative to their own center. - -.. plot:: pyplots/examples/00e_ColTransRot.py - :include-source: - -:download:`00e_ColTransRot.py <../pyplots/examples/00e_ColTransRot.py>` - - - -.. _examples-joystick: - -Magnet Motion: Simulating a Magnetic Joystick -############################################## - -In this example a joystick is simulated. A magnetic joystick is realized by a rod that can tilt freely (two degrees of freedom) about a center of tilt. The upper part of the rod is the joystick handle. At the bottom of the rod a cylindrical magnet (``dim=(D,H)``) with axial magnetization ```mag=[0,0,M0]`` is fixed. The magnet lies at a distance ``d`` below the center of tilt. The system is constructed such that, when the joystick is in the center position a sensor lies at distance ``gap`` below the magnet and in the origin of a Cartesian coordinate system. The magnet thus moves with the joystick above the fixed sensor. - -In the following program the magnetic field is calculated for all degrees of freedom. Different tilt angles are set by rotation about the center of tilt by the angle ``th`` (different colors). Then the tilt direction is varied from 0 to 360 degrees by simulating the magnet motion as rotation about the z-axis, see also the following sketch. - -.. image:: ../_static/images/examples/JoystickExample1.JPG - :align: center - :scale: 50 % - -.. plot:: pyplots/examples/02_MagnetMotion.py - :include-source: - -:download:`02_MagnetMotion.py <../pyplots/examples/02_MagnetMotion.py>` - - - -.. _examples-complexShapes: - -Complex Magnet Shapes: Hollow Cylinder -########################################### - -The superposition principle allows us to calculate complex magnet shapes by *addition* and *subtraction* operations. An example application for this is the field of an axially magnetized hollow cylinder. The hollow part is cut out from the outer cylinder by placing a second, smaller cylinder inside with opposite magnetization. Unfortunately the ``displaySystem`` method cannot properly display such objects intersecting with each other. - -.. plot:: pyplots/examples/04_ComplexShape.py - :include-source: - -:download:`04_ComplexShape.py <../pyplots/examples/04_ComplexShape.py>` - - - -.. _examples-vector: - -Vectorized Code Example -###################################### - -In this example a magnet is tilted above a sensor just like in a 1D-joystick system. The magnetic field is computed using vectorized code, taking care to create the ``getBv`` input using numpy native methods only. - -.. plot:: pyplots/examples/05_VectorJoystick1d.py - :include-source: - -:download:`05_VectorJoystick1d.py <../pyplots/examples/05_VectorJoystick1d.py>` \ No newline at end of file diff --git a/docs/_pages/3_MATLAB.rst b/docs/_pages/3_MATLAB.rst deleted file mode 100644 index 8dacb6abd..000000000 --- a/docs/_pages/3_MATLAB.rst +++ /dev/null @@ -1,64 +0,0 @@ -.. _matlab: - -****************** -MATLAB Integration -****************** - -.. note:: - - MATLAB does not support Tkinter, which disables matplotlib. This means that :meth:`~magpylib.Collection.displaySystem()` will not generate a display and might interrupt the program. - - -Setting Python Interpreter -########################### - -As of version R2015b, MATLAB allows you to call libraries from other programming languages, including Python, which enables users to run magpylib from the MATLAB interface. The following guide intends to provide a digest of the `Official MATLAB documentation <https://www.mathworks.com/help/matlab/call-python-libraries.html>`_ with a focus on utilizing this interface with magpylib. - -Running ``>>> pyversion`` following line in the MATLAB console tells you which Python environment (user space interpreter) is connected to your MATLAB interface. - -If magpylib is already installed in this environment you can directly call it, as shown in the `Example`_ below. If not please follow the :ref:`installation` instructions and install magpylib. - -If you choose to install magpylib in a different environment than the one that is currently connected to your MATLAB interpreter, use the following command in the MATLAB console to connect the new environment instead (choose correct path pointing at your Python interpreter). - -.. code-block:: matlab - - >>> pyversion C:\Users\...\AppData\Local\Continuum\anaconda3\envs\magpy\python.exe - - -Example -############ - -The following MATLAB 2019 script showcases most functionalities. - -.. code-block:: matlab - - %%%%%%%%%%%%%%%%%% magpytest.m %%%%%%%%%%%%%% - %% Showcase Python + MATLAB Interoperability. - %% Define and calculate the field of a - %% Cuboid magnet inside a Collection. - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - %% Import the library - py.importlib.import_module("magpylib") - - %% Define Python types for input - vec3 = py.list({1,2,3}) - scalar = py.int(90) - - %% Define input - mag = vec3 - dim = vec3 - angle = scalar - sensorPos = vec3 - - %% Execute Python - % 2 positional and 1 keyword argument in Box - box = py.magpylib.source.magnet.Box(mag,dim,pyargs('angle',angle)) - col = py.magpylib.Collection(box) - pythonResult = col.getB(sensorPos) - - %% Convert Python Result to MATLAB data format - matlabResult = double(pythonResult) - -.. note:: - With old versions of Matlab the *double(pythonResult)* type conversion might give an error message. \ No newline at end of file diff --git a/docs/_pages/4_contguide.rst b/docs/_pages/4_contguide.rst deleted file mode 100644 index 0e152a0be..000000000 --- a/docs/_pages/4_contguide.rst +++ /dev/null @@ -1,51 +0,0 @@ -********************************* -Credits, Contribution & Citation -********************************* - - - -Maintainers & Contact -##################### - -**Michael Ortner** - Concept, Physics and Overseeing - -* michael.ortner@silicon-austria.com -* Silicon Austria Labs, Sensors division, 9500 Villach, Austria - -**Lucas Gabriel Coliado Bandeira** - software engineering - -* lucascoliado@hotmail.com - - - -Credits -######## - -We want to thank a lot of ppl who have helped to realize and advance this project over the years. The project was supported by CTR-AG and is now supported by the `Silicon Austria Labs <https://silicon-austria-labs.com/>`_ public research center. - - - -Contributions -############# - -We welcome any feedback (Bug reports, feature requests, comments, really anything 😃) via email `magpylib@gmail.com <mailto:magpylib@gmail.com>`_ or through `gitHub <https://github.com/magpylib/magpylib/issues>`_ channels. - - - -Citation -######## - -We are thankful for any reference and citation through the `original publication <https://authors.elsevier.com/sd/article/S2352711020300170>`_. - -A valid bibtex entry would be - -.. code-block:: latex - - @Article{magpylib2020, - title = {Magpylib: A free Python package for magnetic field computation}, - author ={Ortner, Michael and Coliado Bandeira, Lucas Gabriel}, - year = {2020}, - journal = {SoftwareX}, - publisher = {Elsevier}, - doi = {10.1016/j.softx.2020.100466} - } \ No newline at end of file diff --git a/docs/_pages/9_physics.rst b/docs/_pages/9_physics.rst deleted file mode 100644 index dad7f9ab8..000000000 --- a/docs/_pages/9_physics.rst +++ /dev/null @@ -1,40 +0,0 @@ -.. _physComp: - -*************************** -[WIP] Physics & Computation -*************************** - -The analytical solutions -######################## - -Details about how they are set up -Formulas and expressions used in magpylib, references to literature - -Hard and soft magnetic materials --------------------------------- -We cannot do soft, theres a lot of reasons we we dont need to - -Demagnetization ---------------- - -Solution accuracy, analytical modeling of demagnetization and interaction - -multiple sources, no interaction - -Limits and Convergence -###################### - -Convergence of diametral Cylinder -No. iterations - -Computation -########### - -SIMD - -vectorized code - -performance tests - -parallelization - diff --git a/docs/_static/css/stylesheet.css b/docs/_static/css/stylesheet.css deleted file mode 100644 index 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