0.4.3 release #11
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,24 +1,24 @@ | ||
| from __future__ import absolute_import, division | ||
| from __future__ import print_function | ||
| from galgebra.printer import Format, xpdf | ||
| from galgebra.ga import Ga | ||
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There was a problem hiding this comment. If the users install galgebra from pip, the way of importing the modules has to conform to the standard "namespaced" way instead of just importing modules from a global namespace. This might break some old code but it's a necessary transition process. |
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| Format() | ||
| g4d = Ga('a b c d') | ||
| (a, b, c, d) = g4d.mv() | ||
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| print('g_{ij} =', g4d.g) | ||
| print('\\bm{a|(b*c)} =', a | (b * c)) | ||
| print('\\bm{a|(b^c)} =', a | (b ^ c)) | ||
| print('\\bm{a|(b^c^d)} =', a | (b ^ c ^ d)) | ||
| # FIXME:FIXED this should print 0, got blank | ||
| print('\\bm{a|(b^c)+c|(a^b)+b|(c^a)} =', | ||
| (a | (b ^ c)) + (c | (a ^ b)) + (b | (c ^ a))) | ||
| print('\\bm{a*(b^c)-b*(a^c)+c*(a^b)} =', | ||
| a * (b ^ c) - b * (a ^ c) + c * (a ^ b)) | ||
| print('\\bm{a*(b^c^d)-b*(a^c^d)+c*(a^b^d)-d*(a^b^c)} =', | ||
| a * (b ^ c ^ d) - b * (a ^ c ^ d) + c * (a ^ b ^ d) - d * (a ^ b ^ c)) | ||
| print('\\bm{(a^b)|(c^d)} =', (a ^ b) | (c ^ d)) | ||
| print('\\bm{((a^b)|c)|d} =', ((a ^ b) | c) | d) | ||
| print('\\bm{(a^b)\\times (c^d)} =', Ga.com(a ^ b, c ^ d)) | ||
| xpdf(paper='letter', prog=True) | ||
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,26 +1,29 @@ | ||
| from __future__ import absolute_import, division | ||
| from __future__ import print_function | ||
| import sys | ||
| from sympy import symbols, sin, cos | ||
| from galgebra.printer import Format, xpdf, Get_Program, Print_Function | ||
| from galgebra.ga import Ga | ||
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| Format() | ||
| coords = symbols('t x y z', real=True) | ||
| (st4d, g0, g1, g2, g3) = Ga.build( | ||
| 'gamma*t|x|y|z', g=[1, -1, -1, -1], coords=coords) | ||
| I = st4d.i | ||
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| (m, e) = symbols('m e') | ||
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| psi = st4d.mv('psi', 'spinor', f=True) | ||
| A = st4d.mv('A', 'vector', f=True) | ||
| sig_z = g3 * g0 | ||
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| print('\\text{4-Vector Potential\\;\\;}\\bm{A} =', A) | ||
| print('\\text{8-component real spinor\\;\\;}\\bm{\\psi} =', psi) | ||
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| dirac_eq = (st4d.grad * psi) * I * sig_z - e * A * psi - m * psi * g0 | ||
| dirac_eq = dirac_eq.simplify() | ||
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| # FIXME terms of \psi^{ty} are not grouped together | ||
| print(dirac_eq.Fmt(3, r'%\text{Dirac Equation\;\;}\nabla \bm{\psi}' + | ||
| r' I \sigma_{z}-e\bm{A}\bm{\psi}-m\bm{\psi}\gamma_{t} = 0')) | ||
| xpdf(paper='landscape', prog=True) |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,38 +1,44 @@ | ||
| from __future__ import absolute_import, division | ||
| from __future__ import print_function | ||
| from sympy import symbols, sin | ||
| from galgebra.printer import Format, xpdf | ||
| from galgebra.ga import Ga | ||
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| Format() | ||
| coords = (x, y, z) = symbols('x y z', real=True) | ||
| (o3d, ex, ey, ez) = Ga.build('e*x|y|z', g=[1, 1, 1], coords=coords) | ||
| X = x * ex + y * ey + z * ez | ||
| I = o3d.i | ||
| v = o3d.mv('v', 'vector') | ||
| f = o3d.mv('f', 'scalar', f=True) | ||
| A = o3d.mv('A', 'vector', f=True) | ||
| dd = v | o3d.grad | ||
| lap = o3d.grad * o3d.grad | ||
| print(r'\bm{X} =', X) | ||
| print(r'\bm{v} =', v) | ||
| print(r'\bm{A} =', A) | ||
| print(r'%\bm{v}\cdot\nabla =', dd) | ||
| print(r'%\nabla^{2} =', lap) | ||
| print(r'%\bm{v}\cdot\nabla f =', dd * f) | ||
| print(r'%\nabla^{2} f =', lap * f) | ||
| print(r'%\nabla^{2} \bm{A} =', lap * A) | ||
| print(r'%\bar{\nabla}\cdot v =', o3d.rgrad | v) | ||
| Xgrad = X | o3d.grad | ||
| rgradX = o3d.rgrad | X | ||
| print(r'%\bm{X}\cdot \nabla =', Xgrad) | ||
| # FIXME This outputs incorrectly, the scalar part 3 is missing | ||
| print(r'%\bar{\nabla}\cdot \bm{X} =', rgradX) | ||
| # FIXME The following code complains: | ||
| # ValueError: In Dop.Add complement flags have different values: False vs. True | ||
| # com = Xgrad - rgradX | ||
| # print(r'%\bm{X}\cdot \nabla - \bar{\nabla}\cdot \bm{X} =', com) | ||
| sph_coords = (r, th, phi) = symbols('r theta phi', real=True) | ||
| (sp3d, er, eth, ephi) = Ga.build('e', g=[1, r**2, r**2 * sin(th)**2], | ||
| coords=sph_coords, norm=True) | ||
| f = sp3d.mv('f', 'scalar', f=True) | ||
| lap = sp3d.grad * sp3d.grad | ||
| print(r'%\nabla^{2} = \nabla\cdot\nabla =', lap) | ||
| print(r'%\lp\nabla^{2}\rp f =', lap * f) | ||
| print(r'%\nabla\cdot\lp\nabla f\rp =', sp3d.grad | (sp3d.grad * f)) | ||
| # FIXME crop didn't work, but pdf can be generated with TexLive 2017 installed | ||
| xpdf(paper='landscape', crop=True) |
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Tests covers more forms of tests and collects the coverage stat data in one go.
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Thats neat