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- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/__init__.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/ast_parser.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/mathematica.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/maxima.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/sym_expr.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/__pycache__/sympy_parser.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/__pycache__/_build_autolev_antlr.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/README.txt +9 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/__pycache__/ruletest11.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/__pycache__/ruletest12.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/__pycache__/ruletest2.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/__pycache__/ruletest3.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/__pycache__/ruletest5.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/__pycache__/chaos_pendulum.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/__pycache__/double_pendulum.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/__pycache__/mass_spring_damper.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/__pycache__/non_min_pendulum.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/chaos_pendulum.al +33 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/chaos_pendulum.py +55 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/double_pendulum.al +25 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/double_pendulum.py +39 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/mass_spring_damper.al +19 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/mass_spring_damper.py +31 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/non_min_pendulum.al +20 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/non_min_pendulum.py +36 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest1.al +8 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest10.py +64 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest11.py +14 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest12.al +7 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest12.py +14 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest2.py +22 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest3.al +25 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest3.py +37 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest4.al +20 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest4.py +20 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest5.al +32 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest5.py +33 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest6.al +41 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest6.py +36 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest7.al +39 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest7.py +35 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest8.py +49 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest9.al +54 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__init__.py +1 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__pycache__/__init__.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__pycache__/c_parser.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/c_parser.py +1090 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__init__.py +1 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__pycache__/__init__.cpython-310.pyc +0 -0
- llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__pycache__/fortran_parser.cpython-310.pyc +0 -0
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llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/README.txt
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# parsing/tests/test_autolev.py uses the .al files in this directory as inputs and checks
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# the equivalence of the parser generated codes and the respective .py files.
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# By default, this directory contains tests for all rules of the parser.
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# Additional tests consisting of full physics examples shall be made available soon in
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# the form of another repository. One shall be able to copy the contents of that repo
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# to this folder and use those tests after uncommenting the respective code in
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# parsing/tests/test_autolev.py.
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llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/chaos_pendulum.al
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CONSTANTS G,LB,W,H
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MOTIONVARIABLES' THETA'',PHI'',OMEGA',ALPHA'
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NEWTONIAN N
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BODIES A,B
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SIMPROT(N,A,2,THETA)
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SIMPROT(A,B,3,PHI)
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POINT O
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LA = (LB-H/2)/2
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P_O_AO> = LA*A3>
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P_O_BO> = LB*A3>
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OMEGA = THETA'
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ALPHA = PHI'
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W_A_N> = OMEGA*N2>
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W_B_A> = ALPHA*A3>
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V_O_N> = 0>
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V2PTS(N, A, O, AO)
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V2PTS(N, A, O, BO)
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MASS A=MA, B=MB
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IAXX = 1/12*MA*(2*LA)^2
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IAYY = IAXX
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IAZZ = 0
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IBXX = 1/12*MB*H^2
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IBYY = 1/12*MB*(W^2+H^2)
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IBZZ = 1/12*MB*W^2
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INERTIA A, IAXX, IAYY, IAZZ
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INERTIA B, IBXX, IBYY, IBZZ
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GRAVITY(G*N3>)
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ZERO = FR() + FRSTAR()
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KANE()
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INPUT LB=0.2,H=0.1,W=0.2,MA=0.01,MB=0.1,G=9.81
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INPUT THETA = 90 DEG, PHI = 0.5 DEG, OMEGA=0, ALPHA=0
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INPUT TFINAL=10, INTEGSTP=0.02
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CODE DYNAMICS() some_filename.c
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llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/chaos_pendulum.py
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import sympy.physics.mechanics as _me
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import sympy as _sm
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import math as m
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import numpy as _np
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g, lb, w, h = _sm.symbols('g lb w h', real=True)
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theta, phi, omega, alpha = _me.dynamicsymbols('theta phi omega alpha')
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theta_d, phi_d, omega_d, alpha_d = _me.dynamicsymbols('theta_ phi_ omega_ alpha_', 1)
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theta_dd, phi_dd = _me.dynamicsymbols('theta_ phi_', 2)
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frame_n = _me.ReferenceFrame('n')
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body_a_cm = _me.Point('a_cm')
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body_a_cm.set_vel(frame_n, 0)
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body_a_f = _me.ReferenceFrame('a_f')
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body_a = _me.RigidBody('a', body_a_cm, body_a_f, _sm.symbols('m'), (_me.outer(body_a_f.x,body_a_f.x),body_a_cm))
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body_b_cm = _me.Point('b_cm')
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body_b_cm.set_vel(frame_n, 0)
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body_b_f = _me.ReferenceFrame('b_f')
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body_b = _me.RigidBody('b', body_b_cm, body_b_f, _sm.symbols('m'), (_me.outer(body_b_f.x,body_b_f.x),body_b_cm))
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body_a_f.orient(frame_n, 'Axis', [theta, frame_n.y])
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body_b_f.orient(body_a_f, 'Axis', [phi, body_a_f.z])
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point_o = _me.Point('o')
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la = (lb-h/2)/2
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body_a_cm.set_pos(point_o, la*body_a_f.z)
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body_b_cm.set_pos(point_o, lb*body_a_f.z)
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body_a_f.set_ang_vel(frame_n, omega*frame_n.y)
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body_b_f.set_ang_vel(body_a_f, alpha*body_a_f.z)
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point_o.set_vel(frame_n, 0)
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body_a_cm.v2pt_theory(point_o,frame_n,body_a_f)
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body_b_cm.v2pt_theory(point_o,frame_n,body_a_f)
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ma = _sm.symbols('ma')
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body_a.mass = ma
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mb = _sm.symbols('mb')
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body_b.mass = mb
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iaxx = 1/12*ma*(2*la)**2
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iayy = iaxx
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iazz = 0
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ibxx = 1/12*mb*h**2
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ibyy = 1/12*mb*(w**2+h**2)
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ibzz = 1/12*mb*w**2
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body_a.inertia = (_me.inertia(body_a_f, iaxx, iayy, iazz, 0, 0, 0), body_a_cm)
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body_b.inertia = (_me.inertia(body_b_f, ibxx, ibyy, ibzz, 0, 0, 0), body_b_cm)
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force_a = body_a.mass*(g*frame_n.z)
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force_b = body_b.mass*(g*frame_n.z)
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kd_eqs = [theta_d - omega, phi_d - alpha]
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forceList = [(body_a.masscenter,body_a.mass*(g*frame_n.z)), (body_b.masscenter,body_b.mass*(g*frame_n.z))]
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kane = _me.KanesMethod(frame_n, q_ind=[theta,phi], u_ind=[omega, alpha], kd_eqs = kd_eqs)
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fr, frstar = kane.kanes_equations([body_a, body_b], forceList)
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zero = fr+frstar
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from pydy.system import System
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sys = System(kane, constants = {g:9.81, lb:0.2, w:0.2, h:0.1, ma:0.01, mb:0.1},
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specifieds={},
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initial_conditions={theta:_np.deg2rad(90), phi:_np.deg2rad(0.5), omega:0, alpha:0},
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times = _np.linspace(0.0, 10, 10/0.02))
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y=sys.integrate()
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MOTIONVARIABLES' Q{2}', U{2}'
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CONSTANTS L,M,G
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NEWTONIAN N
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FRAMES A,B
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SIMPROT(N, A, 3, Q1)
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SIMPROT(N, B, 3, Q2)
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W_A_N>=U1*N3>
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W_B_N>=U2*N3>
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POINT O
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PARTICLES P,R
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P_O_P> = L*A1>
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P_P_R> = L*B1>
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V_O_N> = 0>
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V2PTS(N, A, O, P)
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V2PTS(N, B, P, R)
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MASS P=M, R=M
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Q1' = U1
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Q2' = U2
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GRAVITY(G*N1>)
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ZERO = FR() + FRSTAR()
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KANE()
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INPUT M=1,G=9.81,L=1
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INPUT Q1=.1,Q2=.2,U1=0,U2=0
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INPUT TFINAL=10, INTEGSTP=.01
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CODE DYNAMICS() some_filename.c
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llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/double_pendulum.py
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import sympy.physics.mechanics as _me
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import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
q1, q2, u1, u2 = _me.dynamicsymbols('q1 q2 u1 u2')
|
7 |
+
q1_d, q2_d, u1_d, u2_d = _me.dynamicsymbols('q1_ q2_ u1_ u2_', 1)
|
8 |
+
l, m, g = _sm.symbols('l m g', real=True)
|
9 |
+
frame_n = _me.ReferenceFrame('n')
|
10 |
+
frame_a = _me.ReferenceFrame('a')
|
11 |
+
frame_b = _me.ReferenceFrame('b')
|
12 |
+
frame_a.orient(frame_n, 'Axis', [q1, frame_n.z])
|
13 |
+
frame_b.orient(frame_n, 'Axis', [q2, frame_n.z])
|
14 |
+
frame_a.set_ang_vel(frame_n, u1*frame_n.z)
|
15 |
+
frame_b.set_ang_vel(frame_n, u2*frame_n.z)
|
16 |
+
point_o = _me.Point('o')
|
17 |
+
particle_p = _me.Particle('p', _me.Point('p_pt'), _sm.Symbol('m'))
|
18 |
+
particle_r = _me.Particle('r', _me.Point('r_pt'), _sm.Symbol('m'))
|
19 |
+
particle_p.point.set_pos(point_o, l*frame_a.x)
|
20 |
+
particle_r.point.set_pos(particle_p.point, l*frame_b.x)
|
21 |
+
point_o.set_vel(frame_n, 0)
|
22 |
+
particle_p.point.v2pt_theory(point_o,frame_n,frame_a)
|
23 |
+
particle_r.point.v2pt_theory(particle_p.point,frame_n,frame_b)
|
24 |
+
particle_p.mass = m
|
25 |
+
particle_r.mass = m
|
26 |
+
force_p = particle_p.mass*(g*frame_n.x)
|
27 |
+
force_r = particle_r.mass*(g*frame_n.x)
|
28 |
+
kd_eqs = [q1_d - u1, q2_d - u2]
|
29 |
+
forceList = [(particle_p.point,particle_p.mass*(g*frame_n.x)), (particle_r.point,particle_r.mass*(g*frame_n.x))]
|
30 |
+
kane = _me.KanesMethod(frame_n, q_ind=[q1,q2], u_ind=[u1, u2], kd_eqs = kd_eqs)
|
31 |
+
fr, frstar = kane.kanes_equations([particle_p, particle_r], forceList)
|
32 |
+
zero = fr+frstar
|
33 |
+
from pydy.system import System
|
34 |
+
sys = System(kane, constants = {l:1, m:1, g:9.81},
|
35 |
+
specifieds={},
|
36 |
+
initial_conditions={q1:.1, q2:.2, u1:0, u2:0},
|
37 |
+
times = _np.linspace(0.0, 10, 10/.01))
|
38 |
+
|
39 |
+
y=sys.integrate()
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/mass_spring_damper.al
ADDED
@@ -0,0 +1,19 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
CONSTANTS M,K,B,G
|
2 |
+
MOTIONVARIABLES' POSITION',SPEED'
|
3 |
+
VARIABLES O
|
4 |
+
FORCE = O*SIN(T)
|
5 |
+
NEWTONIAN CEILING
|
6 |
+
POINTS ORIGIN
|
7 |
+
V_ORIGIN_CEILING> = 0>
|
8 |
+
PARTICLES BLOCK
|
9 |
+
P_ORIGIN_BLOCK> = POSITION*CEILING1>
|
10 |
+
MASS BLOCK=M
|
11 |
+
V_BLOCK_CEILING>=SPEED*CEILING1>
|
12 |
+
POSITION' = SPEED
|
13 |
+
FORCE_MAGNITUDE = M*G-K*POSITION-B*SPEED+FORCE
|
14 |
+
FORCE_BLOCK>=EXPLICIT(FORCE_MAGNITUDE*CEILING1>)
|
15 |
+
ZERO = FR() + FRSTAR()
|
16 |
+
KANE()
|
17 |
+
INPUT TFINAL=10.0, INTEGSTP=0.01
|
18 |
+
INPUT M=1.0, K=1.0, B=0.2, G=9.8, POSITION=0.1, SPEED=-1.0, O=2
|
19 |
+
CODE DYNAMICS() dummy_file.c
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/mass_spring_damper.py
ADDED
@@ -0,0 +1,31 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
m, k, b, g = _sm.symbols('m k b g', real=True)
|
7 |
+
position, speed = _me.dynamicsymbols('position speed')
|
8 |
+
position_d, speed_d = _me.dynamicsymbols('position_ speed_', 1)
|
9 |
+
o = _me.dynamicsymbols('o')
|
10 |
+
force = o*_sm.sin(_me.dynamicsymbols._t)
|
11 |
+
frame_ceiling = _me.ReferenceFrame('ceiling')
|
12 |
+
point_origin = _me.Point('origin')
|
13 |
+
point_origin.set_vel(frame_ceiling, 0)
|
14 |
+
particle_block = _me.Particle('block', _me.Point('block_pt'), _sm.Symbol('m'))
|
15 |
+
particle_block.point.set_pos(point_origin, position*frame_ceiling.x)
|
16 |
+
particle_block.mass = m
|
17 |
+
particle_block.point.set_vel(frame_ceiling, speed*frame_ceiling.x)
|
18 |
+
force_magnitude = m*g-k*position-b*speed+force
|
19 |
+
force_block = (force_magnitude*frame_ceiling.x).subs({position_d:speed})
|
20 |
+
kd_eqs = [position_d - speed]
|
21 |
+
forceList = [(particle_block.point,(force_magnitude*frame_ceiling.x).subs({position_d:speed}))]
|
22 |
+
kane = _me.KanesMethod(frame_ceiling, q_ind=[position], u_ind=[speed], kd_eqs = kd_eqs)
|
23 |
+
fr, frstar = kane.kanes_equations([particle_block], forceList)
|
24 |
+
zero = fr+frstar
|
25 |
+
from pydy.system import System
|
26 |
+
sys = System(kane, constants = {m:1.0, k:1.0, b:0.2, g:9.8},
|
27 |
+
specifieds={_me.dynamicsymbols('t'):lambda x, t: t, o:2},
|
28 |
+
initial_conditions={position:0.1, speed:-1*1.0},
|
29 |
+
times = _np.linspace(0.0, 10.0, 10.0/0.01))
|
30 |
+
|
31 |
+
y=sys.integrate()
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/non_min_pendulum.al
ADDED
@@ -0,0 +1,20 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
MOTIONVARIABLES' Q{2}''
|
2 |
+
CONSTANTS L,M,G
|
3 |
+
NEWTONIAN N
|
4 |
+
POINT PN
|
5 |
+
V_PN_N> = 0>
|
6 |
+
THETA1 = ATAN(Q2/Q1)
|
7 |
+
FRAMES A
|
8 |
+
SIMPROT(N, A, 3, THETA1)
|
9 |
+
PARTICLES P
|
10 |
+
P_PN_P> = Q1*N1>+Q2*N2>
|
11 |
+
MASS P=M
|
12 |
+
V_P_N>=DT(P_P_PN>, N)
|
13 |
+
F_V = DOT(EXPRESS(V_P_N>,A), A1>)
|
14 |
+
GRAVITY(G*N1>)
|
15 |
+
DEPENDENT[1] = F_V
|
16 |
+
CONSTRAIN(DEPENDENT[Q1'])
|
17 |
+
ZERO=FR()+FRSTAR()
|
18 |
+
F_C = MAG(P_P_PN>)-L
|
19 |
+
CONFIG[1]=F_C
|
20 |
+
ZERO[2]=CONFIG[1]
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/pydy-example-repo/non_min_pendulum.py
ADDED
@@ -0,0 +1,36 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
q1, q2 = _me.dynamicsymbols('q1 q2')
|
7 |
+
q1_d, q2_d = _me.dynamicsymbols('q1_ q2_', 1)
|
8 |
+
q1_dd, q2_dd = _me.dynamicsymbols('q1_ q2_', 2)
|
9 |
+
l, m, g = _sm.symbols('l m g', real=True)
|
10 |
+
frame_n = _me.ReferenceFrame('n')
|
11 |
+
point_pn = _me.Point('pn')
|
12 |
+
point_pn.set_vel(frame_n, 0)
|
13 |
+
theta1 = _sm.atan(q2/q1)
|
14 |
+
frame_a = _me.ReferenceFrame('a')
|
15 |
+
frame_a.orient(frame_n, 'Axis', [theta1, frame_n.z])
|
16 |
+
particle_p = _me.Particle('p', _me.Point('p_pt'), _sm.Symbol('m'))
|
17 |
+
particle_p.point.set_pos(point_pn, q1*frame_n.x+q2*frame_n.y)
|
18 |
+
particle_p.mass = m
|
19 |
+
particle_p.point.set_vel(frame_n, (point_pn.pos_from(particle_p.point)).dt(frame_n))
|
20 |
+
f_v = _me.dot((particle_p.point.vel(frame_n)).express(frame_a), frame_a.x)
|
21 |
+
force_p = particle_p.mass*(g*frame_n.x)
|
22 |
+
dependent = _sm.Matrix([[0]])
|
23 |
+
dependent[0] = f_v
|
24 |
+
velocity_constraints = [i for i in dependent]
|
25 |
+
u_q1_d = _me.dynamicsymbols('u_q1_d')
|
26 |
+
u_q2_d = _me.dynamicsymbols('u_q2_d')
|
27 |
+
kd_eqs = [q1_d-u_q1_d, q2_d-u_q2_d]
|
28 |
+
forceList = [(particle_p.point,particle_p.mass*(g*frame_n.x))]
|
29 |
+
kane = _me.KanesMethod(frame_n, q_ind=[q1,q2], u_ind=[u_q2_d], u_dependent=[u_q1_d], kd_eqs = kd_eqs, velocity_constraints = velocity_constraints)
|
30 |
+
fr, frstar = kane.kanes_equations([particle_p], forceList)
|
31 |
+
zero = fr+frstar
|
32 |
+
f_c = point_pn.pos_from(particle_p.point).magnitude()-l
|
33 |
+
config = _sm.Matrix([[0]])
|
34 |
+
config[0] = f_c
|
35 |
+
zero = zero.row_insert(zero.shape[0], _sm.Matrix([[0]]))
|
36 |
+
zero[zero.shape[0]-1] = config[0]
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest1.al
ADDED
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest1.al
|
2 |
+
CONSTANTS F = 3, G = 9.81
|
3 |
+
CONSTANTS A, B
|
4 |
+
CONSTANTS S, S1, S2+, S3+, S4-
|
5 |
+
CONSTANTS K{4}, L{1:3}, P{1:2,1:3}
|
6 |
+
CONSTANTS C{2,3}
|
7 |
+
E1 = A*F + S2 - G
|
8 |
+
E2 = F^2 + K3*K2*G
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest10.py
ADDED
@@ -0,0 +1,64 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x, y = _me.dynamicsymbols('x y')
|
7 |
+
a, b = _sm.symbols('a b', real=True)
|
8 |
+
e = a*(b*x+y)**2
|
9 |
+
m = _sm.Matrix([e,e]).reshape(2, 1)
|
10 |
+
e = e.expand()
|
11 |
+
m = _sm.Matrix([i.expand() for i in m]).reshape((m).shape[0], (m).shape[1])
|
12 |
+
e = _sm.factor(e, x)
|
13 |
+
m = _sm.Matrix([_sm.factor(i,x) for i in m]).reshape((m).shape[0], (m).shape[1])
|
14 |
+
eqn = _sm.Matrix([[0]])
|
15 |
+
eqn[0] = a*x+b*y
|
16 |
+
eqn = eqn.row_insert(eqn.shape[0], _sm.Matrix([[0]]))
|
17 |
+
eqn[eqn.shape[0]-1] = 2*a*x-3*b*y
|
18 |
+
print(_sm.solve(eqn,x,y))
|
19 |
+
rhs_y = _sm.solve(eqn,x,y)[y]
|
20 |
+
e = (x+y)**2+2*x**2
|
21 |
+
e.collect(x)
|
22 |
+
a, b, c = _sm.symbols('a b c', real=True)
|
23 |
+
m = _sm.Matrix([a,b,c,0]).reshape(2, 2)
|
24 |
+
m2 = _sm.Matrix([i.subs({a:1,b:2,c:3}) for i in m]).reshape((m).shape[0], (m).shape[1])
|
25 |
+
eigvalue = _sm.Matrix([i.evalf() for i in (m2).eigenvals().keys()])
|
26 |
+
eigvec = _sm.Matrix([i[2][0].evalf() for i in (m2).eigenvects()]).reshape(m2.shape[0], m2.shape[1])
|
27 |
+
frame_n = _me.ReferenceFrame('n')
|
28 |
+
frame_a = _me.ReferenceFrame('a')
|
29 |
+
frame_a.orient(frame_n, 'Axis', [x, frame_n.x])
|
30 |
+
frame_a.orient(frame_n, 'Axis', [_sm.pi/2, frame_n.x])
|
31 |
+
c1, c2, c3 = _sm.symbols('c1 c2 c3', real=True)
|
32 |
+
v = c1*frame_a.x+c2*frame_a.y+c3*frame_a.z
|
33 |
+
point_o = _me.Point('o')
|
34 |
+
point_p = _me.Point('p')
|
35 |
+
point_o.set_pos(point_p, c1*frame_a.x)
|
36 |
+
v = (v).express(frame_n)
|
37 |
+
point_o.set_pos(point_p, (point_o.pos_from(point_p)).express(frame_n))
|
38 |
+
frame_a.set_ang_vel(frame_n, c3*frame_a.z)
|
39 |
+
print(frame_n.ang_vel_in(frame_a))
|
40 |
+
point_p.v2pt_theory(point_o,frame_n,frame_a)
|
41 |
+
particle_p1 = _me.Particle('p1', _me.Point('p1_pt'), _sm.Symbol('m'))
|
42 |
+
particle_p2 = _me.Particle('p2', _me.Point('p2_pt'), _sm.Symbol('m'))
|
43 |
+
particle_p2.point.v2pt_theory(particle_p1.point,frame_n,frame_a)
|
44 |
+
point_p.a2pt_theory(particle_p1.point,frame_n,frame_a)
|
45 |
+
body_b1_cm = _me.Point('b1_cm')
|
46 |
+
body_b1_cm.set_vel(frame_n, 0)
|
47 |
+
body_b1_f = _me.ReferenceFrame('b1_f')
|
48 |
+
body_b1 = _me.RigidBody('b1', body_b1_cm, body_b1_f, _sm.symbols('m'), (_me.outer(body_b1_f.x,body_b1_f.x),body_b1_cm))
|
49 |
+
body_b2_cm = _me.Point('b2_cm')
|
50 |
+
body_b2_cm.set_vel(frame_n, 0)
|
51 |
+
body_b2_f = _me.ReferenceFrame('b2_f')
|
52 |
+
body_b2 = _me.RigidBody('b2', body_b2_cm, body_b2_f, _sm.symbols('m'), (_me.outer(body_b2_f.x,body_b2_f.x),body_b2_cm))
|
53 |
+
g = _sm.symbols('g', real=True)
|
54 |
+
force_p1 = particle_p1.mass*(g*frame_n.x)
|
55 |
+
force_p2 = particle_p2.mass*(g*frame_n.x)
|
56 |
+
force_b1 = body_b1.mass*(g*frame_n.x)
|
57 |
+
force_b2 = body_b2.mass*(g*frame_n.x)
|
58 |
+
z = _me.dynamicsymbols('z')
|
59 |
+
v = x*frame_a.x+y*frame_a.z
|
60 |
+
point_o.set_pos(point_p, x*frame_a.x+y*frame_a.y)
|
61 |
+
v = (v).subs({x:2*z, y:z})
|
62 |
+
point_o.set_pos(point_p, (point_o.pos_from(point_p)).subs({x:2*z, y:z}))
|
63 |
+
force_o = -1*(x*y*frame_a.x)
|
64 |
+
force_p1 = particle_p1.mass*(g*frame_n.x)+ x*y*frame_a.x
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest11.py
ADDED
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x, y = _me.dynamicsymbols('x y')
|
7 |
+
a11, a12, a21, a22, b1, b2 = _sm.symbols('a11 a12 a21 a22 b1 b2', real=True)
|
8 |
+
eqn = _sm.Matrix([[0]])
|
9 |
+
eqn[0] = a11*x+a12*y-b1
|
10 |
+
eqn = eqn.row_insert(eqn.shape[0], _sm.Matrix([[0]]))
|
11 |
+
eqn[eqn.shape[0]-1] = a21*x+a22*y-b2
|
12 |
+
eqn_list = []
|
13 |
+
for i in eqn: eqn_list.append(i.subs({a11:2, a12:5, a21:3, a22:4, b1:7, b2:6}))
|
14 |
+
print(_sm.linsolve(eqn_list, x,y))
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest12.al
ADDED
@@ -0,0 +1,7 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
VARIABLES X,Y
|
2 |
+
CONSTANTS A,B,R
|
3 |
+
EQN[1] = A*X^3+B*Y^2-R
|
4 |
+
EQN[2] = A*SIN(X)^2 + B*COS(2*Y) - R^2
|
5 |
+
INPUT A=2.0, B=3.0, R=1.0
|
6 |
+
INPUT X = 30 DEG, Y = 3.14
|
7 |
+
CODE NONLINEAR(EQN,X,Y) some_filename.c
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest12.py
ADDED
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x, y = _me.dynamicsymbols('x y')
|
7 |
+
a, b, r = _sm.symbols('a b r', real=True)
|
8 |
+
eqn = _sm.Matrix([[0]])
|
9 |
+
eqn[0] = a*x**3+b*y**2-r
|
10 |
+
eqn = eqn.row_insert(eqn.shape[0], _sm.Matrix([[0]]))
|
11 |
+
eqn[eqn.shape[0]-1] = a*_sm.sin(x)**2+b*_sm.cos(2*y)-r**2
|
12 |
+
matrix_list = []
|
13 |
+
for i in eqn:matrix_list.append(i.subs({a:2.0, b:3.0, r:1.0}))
|
14 |
+
print(_sm.nsolve(matrix_list,(x,y),(_np.deg2rad(30),3.14)))
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest2.py
ADDED
@@ -0,0 +1,22 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x1, x2 = _me.dynamicsymbols('x1 x2')
|
7 |
+
f1 = x1*x2+3*x1**2
|
8 |
+
f2 = x1*_me.dynamicsymbols._t+x2*_me.dynamicsymbols._t**2
|
9 |
+
x, y = _me.dynamicsymbols('x y')
|
10 |
+
x_d, y_d = _me.dynamicsymbols('x_ y_', 1)
|
11 |
+
y_dd = _me.dynamicsymbols('y_', 2)
|
12 |
+
q1, q2, q3, u1, u2 = _me.dynamicsymbols('q1 q2 q3 u1 u2')
|
13 |
+
p1, p2 = _me.dynamicsymbols('p1 p2')
|
14 |
+
p1_d, p2_d = _me.dynamicsymbols('p1_ p2_', 1)
|
15 |
+
w1, w2, w3, r1, r2 = _me.dynamicsymbols('w1 w2 w3 r1 r2')
|
16 |
+
w1_d, w2_d, w3_d, r1_d, r2_d = _me.dynamicsymbols('w1_ w2_ w3_ r1_ r2_', 1)
|
17 |
+
r1_dd, r2_dd = _me.dynamicsymbols('r1_ r2_', 2)
|
18 |
+
c11, c12, c21, c22 = _me.dynamicsymbols('c11 c12 c21 c22')
|
19 |
+
d11, d12, d13 = _me.dynamicsymbols('d11 d12 d13')
|
20 |
+
j1, j2 = _me.dynamicsymbols('j1 j2')
|
21 |
+
n = _sm.symbols('n')
|
22 |
+
n = _sm.I
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest3.al
ADDED
@@ -0,0 +1,25 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest3.al
|
2 |
+
FRAMES A, B
|
3 |
+
NEWTONIAN N
|
4 |
+
|
5 |
+
VARIABLES X{3}
|
6 |
+
CONSTANTS L
|
7 |
+
|
8 |
+
V1> = X1*A1> + X2*A2> + X3*A3>
|
9 |
+
V2> = X1*B1> + X2*B2> + X3*B3>
|
10 |
+
V3> = X1*N1> + X2*N2> + X3*N3>
|
11 |
+
|
12 |
+
V> = V1> + V2> + V3>
|
13 |
+
|
14 |
+
POINTS C, D
|
15 |
+
POINTS PO{3}
|
16 |
+
|
17 |
+
PARTICLES L
|
18 |
+
PARTICLES P{3}
|
19 |
+
|
20 |
+
BODIES S
|
21 |
+
BODIES R{2}
|
22 |
+
|
23 |
+
V4> = X1*S1> + X2*S2> + X3*S3>
|
24 |
+
|
25 |
+
P_C_SO> = L*N1>
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest3.py
ADDED
@@ -0,0 +1,37 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
frame_a = _me.ReferenceFrame('a')
|
7 |
+
frame_b = _me.ReferenceFrame('b')
|
8 |
+
frame_n = _me.ReferenceFrame('n')
|
9 |
+
x1, x2, x3 = _me.dynamicsymbols('x1 x2 x3')
|
10 |
+
l = _sm.symbols('l', real=True)
|
11 |
+
v1 = x1*frame_a.x+x2*frame_a.y+x3*frame_a.z
|
12 |
+
v2 = x1*frame_b.x+x2*frame_b.y+x3*frame_b.z
|
13 |
+
v3 = x1*frame_n.x+x2*frame_n.y+x3*frame_n.z
|
14 |
+
v = v1+v2+v3
|
15 |
+
point_c = _me.Point('c')
|
16 |
+
point_d = _me.Point('d')
|
17 |
+
point_po1 = _me.Point('po1')
|
18 |
+
point_po2 = _me.Point('po2')
|
19 |
+
point_po3 = _me.Point('po3')
|
20 |
+
particle_l = _me.Particle('l', _me.Point('l_pt'), _sm.Symbol('m'))
|
21 |
+
particle_p1 = _me.Particle('p1', _me.Point('p1_pt'), _sm.Symbol('m'))
|
22 |
+
particle_p2 = _me.Particle('p2', _me.Point('p2_pt'), _sm.Symbol('m'))
|
23 |
+
particle_p3 = _me.Particle('p3', _me.Point('p3_pt'), _sm.Symbol('m'))
|
24 |
+
body_s_cm = _me.Point('s_cm')
|
25 |
+
body_s_cm.set_vel(frame_n, 0)
|
26 |
+
body_s_f = _me.ReferenceFrame('s_f')
|
27 |
+
body_s = _me.RigidBody('s', body_s_cm, body_s_f, _sm.symbols('m'), (_me.outer(body_s_f.x,body_s_f.x),body_s_cm))
|
28 |
+
body_r1_cm = _me.Point('r1_cm')
|
29 |
+
body_r1_cm.set_vel(frame_n, 0)
|
30 |
+
body_r1_f = _me.ReferenceFrame('r1_f')
|
31 |
+
body_r1 = _me.RigidBody('r1', body_r1_cm, body_r1_f, _sm.symbols('m'), (_me.outer(body_r1_f.x,body_r1_f.x),body_r1_cm))
|
32 |
+
body_r2_cm = _me.Point('r2_cm')
|
33 |
+
body_r2_cm.set_vel(frame_n, 0)
|
34 |
+
body_r2_f = _me.ReferenceFrame('r2_f')
|
35 |
+
body_r2 = _me.RigidBody('r2', body_r2_cm, body_r2_f, _sm.symbols('m'), (_me.outer(body_r2_f.x,body_r2_f.x),body_r2_cm))
|
36 |
+
v4 = x1*body_s_f.x+x2*body_s_f.y+x3*body_s_f.z
|
37 |
+
body_s_cm.set_pos(point_c, l*frame_n.x)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest4.al
ADDED
@@ -0,0 +1,20 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest4.al
|
2 |
+
|
3 |
+
FRAMES A, B
|
4 |
+
MOTIONVARIABLES Q{3}
|
5 |
+
SIMPROT(A, B, 1, Q3)
|
6 |
+
DCM = A_B
|
7 |
+
M = DCM*3 - A_B
|
8 |
+
|
9 |
+
VARIABLES R
|
10 |
+
CIRCLE_AREA = PI*R^2
|
11 |
+
|
12 |
+
VARIABLES U, A
|
13 |
+
VARIABLES X, Y
|
14 |
+
S = U*T - 1/2*A*T^2
|
15 |
+
|
16 |
+
EXPR1 = 2*A*0.5 - 1.25 + 0.25
|
17 |
+
EXPR2 = -X^2 + Y^2 + 0.25*(X+Y)^2
|
18 |
+
EXPR3 = 0.5E-10
|
19 |
+
|
20 |
+
DYADIC>> = A1>*A1> + A2>*A2> + A3>*A3>
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest4.py
ADDED
@@ -0,0 +1,20 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
frame_a = _me.ReferenceFrame('a')
|
7 |
+
frame_b = _me.ReferenceFrame('b')
|
8 |
+
q1, q2, q3 = _me.dynamicsymbols('q1 q2 q3')
|
9 |
+
frame_b.orient(frame_a, 'Axis', [q3, frame_a.x])
|
10 |
+
dcm = frame_a.dcm(frame_b)
|
11 |
+
m = dcm*3-frame_a.dcm(frame_b)
|
12 |
+
r = _me.dynamicsymbols('r')
|
13 |
+
circle_area = _sm.pi*r**2
|
14 |
+
u, a = _me.dynamicsymbols('u a')
|
15 |
+
x, y = _me.dynamicsymbols('x y')
|
16 |
+
s = u*_me.dynamicsymbols._t-1/2*a*_me.dynamicsymbols._t**2
|
17 |
+
expr1 = 2*a*0.5-1.25+0.25
|
18 |
+
expr2 = -1*x**2+y**2+0.25*(x+y)**2
|
19 |
+
expr3 = 0.5*10**(-10)
|
20 |
+
dyadic = _me.outer(frame_a.x, frame_a.x)+_me.outer(frame_a.y, frame_a.y)+_me.outer(frame_a.z, frame_a.z)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest5.al
ADDED
@@ -0,0 +1,32 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest5.al
|
2 |
+
VARIABLES X', Y'
|
3 |
+
|
4 |
+
E1 = (X+Y)^2 + (X-Y)^3
|
5 |
+
E2 = (X-Y)^2
|
6 |
+
E3 = X^2 + Y^2 + 2*X*Y
|
7 |
+
|
8 |
+
M1 = [E1;E2]
|
9 |
+
M2 = [(X+Y)^2,(X-Y)^2]
|
10 |
+
M3 = M1 + [X;Y]
|
11 |
+
|
12 |
+
AM = EXPAND(M1)
|
13 |
+
CM = EXPAND([(X+Y)^2,(X-Y)^2])
|
14 |
+
EM = EXPAND(M1 + [X;Y])
|
15 |
+
F = EXPAND(E1)
|
16 |
+
G = EXPAND(E2)
|
17 |
+
|
18 |
+
A = FACTOR(E3, X)
|
19 |
+
BM = FACTOR(M1, X)
|
20 |
+
CM = FACTOR(M1 + [X;Y], X)
|
21 |
+
|
22 |
+
A = D(E3, X)
|
23 |
+
B = D(E3, Y)
|
24 |
+
CM = D(M2, X)
|
25 |
+
DM = D(M1 + [X;Y], X)
|
26 |
+
FRAMES A, B
|
27 |
+
A_B = [1,0,0;1,0,0;1,0,0]
|
28 |
+
V1> = X*A1> + Y*A2> + X*Y*A3>
|
29 |
+
E> = D(V1>, X, B)
|
30 |
+
FM = DT(M1)
|
31 |
+
GM = DT([(X+Y)^2,(X-Y)^2])
|
32 |
+
H> = DT(V1>, B)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest5.py
ADDED
@@ -0,0 +1,33 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x, y = _me.dynamicsymbols('x y')
|
7 |
+
x_d, y_d = _me.dynamicsymbols('x_ y_', 1)
|
8 |
+
e1 = (x+y)**2+(x-y)**3
|
9 |
+
e2 = (x-y)**2
|
10 |
+
e3 = x**2+y**2+2*x*y
|
11 |
+
m1 = _sm.Matrix([e1,e2]).reshape(2, 1)
|
12 |
+
m2 = _sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)
|
13 |
+
m3 = m1+_sm.Matrix([x,y]).reshape(2, 1)
|
14 |
+
am = _sm.Matrix([i.expand() for i in m1]).reshape((m1).shape[0], (m1).shape[1])
|
15 |
+
cm = _sm.Matrix([i.expand() for i in _sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)]).reshape((_sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)).shape[0], (_sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)).shape[1])
|
16 |
+
em = _sm.Matrix([i.expand() for i in m1+_sm.Matrix([x,y]).reshape(2, 1)]).reshape((m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[0], (m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[1])
|
17 |
+
f = (e1).expand()
|
18 |
+
g = (e2).expand()
|
19 |
+
a = _sm.factor((e3), x)
|
20 |
+
bm = _sm.Matrix([_sm.factor(i, x) for i in m1]).reshape((m1).shape[0], (m1).shape[1])
|
21 |
+
cm = _sm.Matrix([_sm.factor(i, x) for i in m1+_sm.Matrix([x,y]).reshape(2, 1)]).reshape((m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[0], (m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[1])
|
22 |
+
a = (e3).diff(x)
|
23 |
+
b = (e3).diff(y)
|
24 |
+
cm = _sm.Matrix([i.diff(x) for i in m2]).reshape((m2).shape[0], (m2).shape[1])
|
25 |
+
dm = _sm.Matrix([i.diff(x) for i in m1+_sm.Matrix([x,y]).reshape(2, 1)]).reshape((m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[0], (m1+_sm.Matrix([x,y]).reshape(2, 1)).shape[1])
|
26 |
+
frame_a = _me.ReferenceFrame('a')
|
27 |
+
frame_b = _me.ReferenceFrame('b')
|
28 |
+
frame_b.orient(frame_a, 'DCM', _sm.Matrix([1,0,0,1,0,0,1,0,0]).reshape(3, 3))
|
29 |
+
v1 = x*frame_a.x+y*frame_a.y+x*y*frame_a.z
|
30 |
+
e = (v1).diff(x, frame_b)
|
31 |
+
fm = _sm.Matrix([i.diff(_sm.Symbol('t')) for i in m1]).reshape((m1).shape[0], (m1).shape[1])
|
32 |
+
gm = _sm.Matrix([i.diff(_sm.Symbol('t')) for i in _sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)]).reshape((_sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)).shape[0], (_sm.Matrix([(x+y)**2,(x-y)**2]).reshape(1, 2)).shape[1])
|
33 |
+
h = (v1).dt(frame_b)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest6.al
ADDED
@@ -0,0 +1,41 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
1 |
+
% ruletest6.al
|
2 |
+
VARIABLES Q{2}
|
3 |
+
VARIABLES X,Y,Z
|
4 |
+
Q1 = X^2 + Y^2
|
5 |
+
Q2 = X-Y
|
6 |
+
E = Q1 + Q2
|
7 |
+
A = EXPLICIT(E)
|
8 |
+
E2 = COS(X)
|
9 |
+
E3 = COS(X*Y)
|
10 |
+
A = TAYLOR(E2, 0:2, X=0)
|
11 |
+
B = TAYLOR(E3, 0:2, X=0, Y=0)
|
12 |
+
|
13 |
+
E = EXPAND((X+Y)^2)
|
14 |
+
A = EVALUATE(E, X=1, Y=Z)
|
15 |
+
BM = EVALUATE([E;2*E], X=1, Y=Z)
|
16 |
+
|
17 |
+
E = Q1 + Q2
|
18 |
+
A = EVALUATE(E, X=2, Y=Z^2)
|
19 |
+
|
20 |
+
CONSTANTS J,K,L
|
21 |
+
P1 = POLYNOMIAL([J,K,L],X)
|
22 |
+
P2 = POLYNOMIAL(J*X+K,X,1)
|
23 |
+
|
24 |
+
ROOT1 = ROOTS(P1, X, 2)
|
25 |
+
ROOT2 = ROOTS([1;2;3])
|
26 |
+
|
27 |
+
M = [1,2,3,4;5,6,7,8;9,10,11,12;13,14,15,16]
|
28 |
+
|
29 |
+
AM = TRANSPOSE(M) + M
|
30 |
+
BM = EIG(M)
|
31 |
+
C1 = DIAGMAT(4, 1)
|
32 |
+
C2 = DIAGMAT(3, 4, 2)
|
33 |
+
DM = INV(M+C1)
|
34 |
+
E = DET(M+C1) + TRACE([1,0;0,1])
|
35 |
+
F = ELEMENT(M, 2, 3)
|
36 |
+
|
37 |
+
A = COLS(M)
|
38 |
+
BM = COLS(M, 1)
|
39 |
+
CM = COLS(M, 1, 2:4, 3)
|
40 |
+
DM = ROWS(M, 1)
|
41 |
+
EM = ROWS(M, 1, 2:4, 3)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest6.py
ADDED
@@ -0,0 +1,36 @@
|
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|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
q1, q2 = _me.dynamicsymbols('q1 q2')
|
7 |
+
x, y, z = _me.dynamicsymbols('x y z')
|
8 |
+
e = q1+q2
|
9 |
+
a = (e).subs({q1:x**2+y**2, q2:x-y})
|
10 |
+
e2 = _sm.cos(x)
|
11 |
+
e3 = _sm.cos(x*y)
|
12 |
+
a = (e2).series(x, 0, 2).removeO()
|
13 |
+
b = (e3).series(x, 0, 2).removeO().series(y, 0, 2).removeO()
|
14 |
+
e = ((x+y)**2).expand()
|
15 |
+
a = (e).subs({q1:x**2+y**2,q2:x-y}).subs({x:1,y:z})
|
16 |
+
bm = _sm.Matrix([i.subs({x:1,y:z}) for i in _sm.Matrix([e,2*e]).reshape(2, 1)]).reshape((_sm.Matrix([e,2*e]).reshape(2, 1)).shape[0], (_sm.Matrix([e,2*e]).reshape(2, 1)).shape[1])
|
17 |
+
e = q1+q2
|
18 |
+
a = (e).subs({q1:x**2+y**2,q2:x-y}).subs({x:2,y:z**2})
|
19 |
+
j, k, l = _sm.symbols('j k l', real=True)
|
20 |
+
p1 = _sm.Poly(_sm.Matrix([j,k,l]).reshape(1, 3), x)
|
21 |
+
p2 = _sm.Poly(j*x+k, x)
|
22 |
+
root1 = [i.evalf() for i in _sm.solve(p1, x)]
|
23 |
+
root2 = [i.evalf() for i in _sm.solve(_sm.Poly(_sm.Matrix([1,2,3]).reshape(3, 1), x),x)]
|
24 |
+
m = _sm.Matrix([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]).reshape(4, 4)
|
25 |
+
am = (m).T+m
|
26 |
+
bm = _sm.Matrix([i.evalf() for i in (m).eigenvals().keys()])
|
27 |
+
c1 = _sm.diag(1,1,1,1)
|
28 |
+
c2 = _sm.Matrix([2 if i==j else 0 for i in range(3) for j in range(4)]).reshape(3, 4)
|
29 |
+
dm = (m+c1)**(-1)
|
30 |
+
e = (m+c1).det()+(_sm.Matrix([1,0,0,1]).reshape(2, 2)).trace()
|
31 |
+
f = (m)[1,2]
|
32 |
+
a = (m).cols
|
33 |
+
bm = (m).col(0)
|
34 |
+
cm = _sm.Matrix([(m).T.row(0),(m).T.row(1),(m).T.row(2),(m).T.row(3),(m).T.row(2)])
|
35 |
+
dm = (m).row(0)
|
36 |
+
em = _sm.Matrix([(m).row(0),(m).row(1),(m).row(2),(m).row(3),(m).row(2)])
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest7.al
ADDED
@@ -0,0 +1,39 @@
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest7.al
|
2 |
+
VARIABLES X', Y'
|
3 |
+
E = COS(X) + SIN(X) + TAN(X)&
|
4 |
+
+ COSH(X) + SINH(X) + TANH(X)&
|
5 |
+
+ ACOS(X) + ASIN(X) + ATAN(X)&
|
6 |
+
+ LOG(X) + EXP(X) + SQRT(X)&
|
7 |
+
+ FACTORIAL(X) + CEIL(X) +&
|
8 |
+
FLOOR(X) + SIGN(X)
|
9 |
+
|
10 |
+
E = SQR(X) + LOG10(X)
|
11 |
+
|
12 |
+
A = ABS(-1) + INT(1.5) + ROUND(1.9)
|
13 |
+
|
14 |
+
E1 = 2*X + 3*Y
|
15 |
+
E2 = X + Y
|
16 |
+
|
17 |
+
AM = COEF([E1;E2], [X,Y])
|
18 |
+
B = COEF(E1, X)
|
19 |
+
C = COEF(E2, Y)
|
20 |
+
D1 = EXCLUDE(E1, X)
|
21 |
+
D2 = INCLUDE(E1, X)
|
22 |
+
FM = ARRANGE([E1,E2],2,X)
|
23 |
+
F = ARRANGE(E1, 2, Y)
|
24 |
+
G = REPLACE(E1, X=2*X)
|
25 |
+
GM = REPLACE([E1;E2], X=3)
|
26 |
+
|
27 |
+
FRAMES A, B
|
28 |
+
VARIABLES THETA
|
29 |
+
SIMPROT(A,B,3,THETA)
|
30 |
+
V1> = 2*A1> - 3*A2> + A3>
|
31 |
+
V2> = B1> + B2> + B3>
|
32 |
+
A = DOT(V1>, V2>)
|
33 |
+
BM = DOT(V1>, [V2>;2*V2>])
|
34 |
+
C> = CROSS(V1>,V2>)
|
35 |
+
D = MAG(2*V1>) + MAG(3*V1>)
|
36 |
+
DYADIC>> = 3*A1>*A1> + A2>*A2> + 2*A3>*A3>
|
37 |
+
AM = MATRIX(B, DYADIC>>)
|
38 |
+
M = [1;2;3]
|
39 |
+
V> = VECTOR(A, M)
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest7.py
ADDED
@@ -0,0 +1,35 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
x, y = _me.dynamicsymbols('x y')
|
7 |
+
x_d, y_d = _me.dynamicsymbols('x_ y_', 1)
|
8 |
+
e = _sm.cos(x)+_sm.sin(x)+_sm.tan(x)+_sm.cosh(x)+_sm.sinh(x)+_sm.tanh(x)+_sm.acos(x)+_sm.asin(x)+_sm.atan(x)+_sm.log(x)+_sm.exp(x)+_sm.sqrt(x)+_sm.factorial(x)+_sm.ceiling(x)+_sm.floor(x)+_sm.sign(x)
|
9 |
+
e = (x)**2+_sm.log(x, 10)
|
10 |
+
a = _sm.Abs(-1*1)+int(1.5)+round(1.9)
|
11 |
+
e1 = 2*x+3*y
|
12 |
+
e2 = x+y
|
13 |
+
am = _sm.Matrix([e1.expand().coeff(x), e1.expand().coeff(y), e2.expand().coeff(x), e2.expand().coeff(y)]).reshape(2, 2)
|
14 |
+
b = (e1).expand().coeff(x)
|
15 |
+
c = (e2).expand().coeff(y)
|
16 |
+
d1 = (e1).collect(x).coeff(x,0)
|
17 |
+
d2 = (e1).collect(x).coeff(x,1)
|
18 |
+
fm = _sm.Matrix([i.collect(x)for i in _sm.Matrix([e1,e2]).reshape(1, 2)]).reshape((_sm.Matrix([e1,e2]).reshape(1, 2)).shape[0], (_sm.Matrix([e1,e2]).reshape(1, 2)).shape[1])
|
19 |
+
f = (e1).collect(y)
|
20 |
+
g = (e1).subs({x:2*x})
|
21 |
+
gm = _sm.Matrix([i.subs({x:3}) for i in _sm.Matrix([e1,e2]).reshape(2, 1)]).reshape((_sm.Matrix([e1,e2]).reshape(2, 1)).shape[0], (_sm.Matrix([e1,e2]).reshape(2, 1)).shape[1])
|
22 |
+
frame_a = _me.ReferenceFrame('a')
|
23 |
+
frame_b = _me.ReferenceFrame('b')
|
24 |
+
theta = _me.dynamicsymbols('theta')
|
25 |
+
frame_b.orient(frame_a, 'Axis', [theta, frame_a.z])
|
26 |
+
v1 = 2*frame_a.x-3*frame_a.y+frame_a.z
|
27 |
+
v2 = frame_b.x+frame_b.y+frame_b.z
|
28 |
+
a = _me.dot(v1, v2)
|
29 |
+
bm = _sm.Matrix([_me.dot(v1, v2),_me.dot(v1, 2*v2)]).reshape(2, 1)
|
30 |
+
c = _me.cross(v1, v2)
|
31 |
+
d = 2*v1.magnitude()+3*v1.magnitude()
|
32 |
+
dyadic = _me.outer(3*frame_a.x, frame_a.x)+_me.outer(frame_a.y, frame_a.y)+_me.outer(2*frame_a.z, frame_a.z)
|
33 |
+
am = (dyadic).to_matrix(frame_b)
|
34 |
+
m = _sm.Matrix([1,2,3]).reshape(3, 1)
|
35 |
+
v = m[0]*frame_a.x +m[1]*frame_a.y +m[2]*frame_a.z
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest8.py
ADDED
@@ -0,0 +1,49 @@
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
import sympy.physics.mechanics as _me
|
2 |
+
import sympy as _sm
|
3 |
+
import math as m
|
4 |
+
import numpy as _np
|
5 |
+
|
6 |
+
frame_a = _me.ReferenceFrame('a')
|
7 |
+
c1, c2, c3 = _sm.symbols('c1 c2 c3', real=True)
|
8 |
+
a = _me.inertia(frame_a, 1, 1, 1)
|
9 |
+
particle_p1 = _me.Particle('p1', _me.Point('p1_pt'), _sm.Symbol('m'))
|
10 |
+
particle_p2 = _me.Particle('p2', _me.Point('p2_pt'), _sm.Symbol('m'))
|
11 |
+
body_r_cm = _me.Point('r_cm')
|
12 |
+
body_r_f = _me.ReferenceFrame('r_f')
|
13 |
+
body_r = _me.RigidBody('r', body_r_cm, body_r_f, _sm.symbols('m'), (_me.outer(body_r_f.x,body_r_f.x),body_r_cm))
|
14 |
+
frame_a.orient(body_r_f, 'DCM', _sm.Matrix([1,1,1,1,1,0,0,0,1]).reshape(3, 3))
|
15 |
+
point_o = _me.Point('o')
|
16 |
+
m1 = _sm.symbols('m1')
|
17 |
+
particle_p1.mass = m1
|
18 |
+
m2 = _sm.symbols('m2')
|
19 |
+
particle_p2.mass = m2
|
20 |
+
mr = _sm.symbols('mr')
|
21 |
+
body_r.mass = mr
|
22 |
+
i1 = _sm.symbols('i1')
|
23 |
+
i2 = _sm.symbols('i2')
|
24 |
+
i3 = _sm.symbols('i3')
|
25 |
+
body_r.inertia = (_me.inertia(body_r_f, i1, i2, i3, 0, 0, 0), body_r_cm)
|
26 |
+
point_o.set_pos(particle_p1.point, c1*frame_a.x)
|
27 |
+
point_o.set_pos(particle_p2.point, c2*frame_a.y)
|
28 |
+
point_o.set_pos(body_r_cm, c3*frame_a.z)
|
29 |
+
a = _me.inertia_of_point_mass(particle_p1.mass, particle_p1.point.pos_from(point_o), frame_a)
|
30 |
+
a = _me.inertia_of_point_mass(particle_p2.mass, particle_p2.point.pos_from(point_o), frame_a)
|
31 |
+
a = body_r.inertia[0] + _me.inertia_of_point_mass(body_r.mass, body_r.masscenter.pos_from(point_o), frame_a)
|
32 |
+
a = _me.inertia_of_point_mass(particle_p1.mass, particle_p1.point.pos_from(point_o), frame_a) + _me.inertia_of_point_mass(particle_p2.mass, particle_p2.point.pos_from(point_o), frame_a) + body_r.inertia[0] + _me.inertia_of_point_mass(body_r.mass, body_r.masscenter.pos_from(point_o), frame_a)
|
33 |
+
a = _me.inertia_of_point_mass(particle_p1.mass, particle_p1.point.pos_from(point_o), frame_a) + body_r.inertia[0] + _me.inertia_of_point_mass(body_r.mass, body_r.masscenter.pos_from(point_o), frame_a)
|
34 |
+
a = body_r.inertia[0] + _me.inertia_of_point_mass(body_r.mass, body_r.masscenter.pos_from(point_o), frame_a)
|
35 |
+
a = body_r.inertia[0]
|
36 |
+
particle_p2.point.set_pos(particle_p1.point, c1*frame_a.x+c2*frame_a.y)
|
37 |
+
body_r_cm.set_pos(particle_p1.point, c3*frame_a.x)
|
38 |
+
body_r_cm.set_pos(particle_p2.point, c3*frame_a.y)
|
39 |
+
b = _me.functions.center_of_mass(point_o,particle_p1, particle_p2, body_r)
|
40 |
+
b = _me.functions.center_of_mass(point_o,particle_p1, body_r)
|
41 |
+
b = _me.functions.center_of_mass(particle_p1.point,particle_p1, particle_p2, body_r)
|
42 |
+
u1, u2, u3 = _me.dynamicsymbols('u1 u2 u3')
|
43 |
+
v = u1*frame_a.x+u2*frame_a.y+u3*frame_a.z
|
44 |
+
u = (v+c1*frame_a.x).normalize()
|
45 |
+
particle_p1.point.set_vel(frame_a, u1*frame_a.x)
|
46 |
+
a = particle_p1.point.partial_velocity(frame_a, u1)
|
47 |
+
m = particle_p1.mass+body_r.mass
|
48 |
+
m = particle_p2.mass
|
49 |
+
m = particle_p1.mass+particle_p2.mass+body_r.mass
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/autolev/test-examples/ruletest9.al
ADDED
@@ -0,0 +1,54 @@
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
+
% ruletest9.al
|
2 |
+
NEWTONIAN N
|
3 |
+
FRAMES A
|
4 |
+
A> = 0>
|
5 |
+
D>> = EXPRESS(1>>, A)
|
6 |
+
|
7 |
+
POINTS PO{2}
|
8 |
+
PARTICLES P{2}
|
9 |
+
MOTIONVARIABLES' C{3}'
|
10 |
+
BODIES R
|
11 |
+
P_P1_PO2> = C1*A1>
|
12 |
+
V> = 2*P_P1_PO2> + C2*A2>
|
13 |
+
|
14 |
+
W_A_N> = C3*A3>
|
15 |
+
V> = 2*W_A_N> + C2*A2>
|
16 |
+
W_R_N> = C3*A3>
|
17 |
+
V> = 2*W_R_N> + C2*A2>
|
18 |
+
|
19 |
+
ALF_A_N> = DT(W_A_N>, A)
|
20 |
+
V> = 2*ALF_A_N> + C2*A2>
|
21 |
+
|
22 |
+
V_P1_A> = C1*A1> + C3*A2>
|
23 |
+
A_RO_N> = C2*A2>
|
24 |
+
V_A> = CROSS(A_RO_N>, V_P1_A>)
|
25 |
+
|
26 |
+
X_B_C> = V_A>
|
27 |
+
X_B_D> = 2*X_B_C>
|
28 |
+
A_B_C_D_E> = X_B_D>*2
|
29 |
+
|
30 |
+
A_B_C = 2*C1*C2*C3
|
31 |
+
A_B_C += 2*C1
|
32 |
+
A_B_C := 3*C1
|
33 |
+
|
34 |
+
MOTIONVARIABLES' Q{2}', U{2}'
|
35 |
+
Q1' = U1
|
36 |
+
Q2' = U2
|
37 |
+
|
38 |
+
VARIABLES X'', Y''
|
39 |
+
SPECIFIED YY
|
40 |
+
Y'' = X*X'^2 + 1
|
41 |
+
YY = X*X'^2 + 1
|
42 |
+
|
43 |
+
M[1] = 2*X
|
44 |
+
M[2] = 2*Y
|
45 |
+
A = 2*M[1]
|
46 |
+
|
47 |
+
M = [1,2,3;4,5,6;7,8,9]
|
48 |
+
M[1, 2] = 5
|
49 |
+
A = M[1, 2]*2
|
50 |
+
|
51 |
+
FORCE_RO> = Q1*N1>
|
52 |
+
TORQUE_A> = Q2*N3>
|
53 |
+
FORCE_RO> = Q2*N2>
|
54 |
+
F> = FORCE_RO>*2
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__init__.py
ADDED
@@ -0,0 +1 @@
|
|
|
|
|
1 |
+
"""Used for translating C source code into a SymPy expression"""
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__pycache__/__init__.cpython-310.pyc
ADDED
Binary file (258 Bytes). View file
|
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/__pycache__/c_parser.cpython-310.pyc
ADDED
Binary file (26.2 kB). View file
|
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/c/c_parser.py
ADDED
@@ -0,0 +1,1090 @@
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|
1 |
+
from sympy.external import import_module
|
2 |
+
import os
|
3 |
+
|
4 |
+
cin = import_module('clang.cindex', import_kwargs = {'fromlist': ['cindex']})
|
5 |
+
|
6 |
+
"""
|
7 |
+
This module contains all the necessary Classes and Function used to Parse C and
|
8 |
+
C++ code into SymPy expression
|
9 |
+
The module serves as a backend for SymPyExpression to parse C code
|
10 |
+
It is also dependent on Clang's AST and SymPy's Codegen AST.
|
11 |
+
The module only supports the features currently supported by the Clang and
|
12 |
+
codegen AST which will be updated as the development of codegen AST and this
|
13 |
+
module progresses.
|
14 |
+
You might find unexpected bugs and exceptions while using the module, feel free
|
15 |
+
to report them to the SymPy Issue Tracker
|
16 |
+
|
17 |
+
Features Supported
|
18 |
+
==================
|
19 |
+
|
20 |
+
- Variable Declarations (integers and reals)
|
21 |
+
- Assignment (using integer & floating literal and function calls)
|
22 |
+
- Function Definitions and Declaration
|
23 |
+
- Function Calls
|
24 |
+
- Compound statements, Return statements
|
25 |
+
|
26 |
+
Notes
|
27 |
+
=====
|
28 |
+
|
29 |
+
The module is dependent on an external dependency which needs to be installed
|
30 |
+
to use the features of this module.
|
31 |
+
|
32 |
+
Clang: The C and C++ compiler which is used to extract an AST from the provided
|
33 |
+
C source code.
|
34 |
+
|
35 |
+
References
|
36 |
+
==========
|
37 |
+
|
38 |
+
.. [1] https://github.com/sympy/sympy/issues
|
39 |
+
.. [2] https://clang.llvm.org/docs/
|
40 |
+
.. [3] https://clang.llvm.org/docs/IntroductionToTheClangAST.html
|
41 |
+
|
42 |
+
"""
|
43 |
+
|
44 |
+
if cin:
|
45 |
+
from sympy.codegen.ast import (Variable, Integer, Float,
|
46 |
+
FunctionPrototype, FunctionDefinition, FunctionCall,
|
47 |
+
none, Return, Assignment, intc, int8, int16, int64,
|
48 |
+
uint8, uint16, uint32, uint64, float32, float64, float80,
|
49 |
+
aug_assign, bool_, While, CodeBlock)
|
50 |
+
from sympy.codegen.cnodes import (PreDecrement, PostDecrement,
|
51 |
+
PreIncrement, PostIncrement)
|
52 |
+
from sympy.core import Add, Mod, Mul, Pow, Rel
|
53 |
+
from sympy.logic.boolalg import And, as_Boolean, Not, Or
|
54 |
+
from sympy.core.symbol import Symbol
|
55 |
+
from sympy.core.sympify import sympify
|
56 |
+
from sympy.logic.boolalg import (false, true)
|
57 |
+
import sys
|
58 |
+
import tempfile
|
59 |
+
|
60 |
+
class BaseParser:
|
61 |
+
"""Base Class for the C parser"""
|
62 |
+
|
63 |
+
def __init__(self):
|
64 |
+
"""Initializes the Base parser creating a Clang AST index"""
|
65 |
+
self.index = cin.Index.create()
|
66 |
+
|
67 |
+
def diagnostics(self, out):
|
68 |
+
"""Diagostics function for the Clang AST"""
|
69 |
+
for diag in self.tu.diagnostics:
|
70 |
+
print('%s %s (line %s, col %s) %s' % (
|
71 |
+
{
|
72 |
+
4: 'FATAL',
|
73 |
+
3: 'ERROR',
|
74 |
+
2: 'WARNING',
|
75 |
+
1: 'NOTE',
|
76 |
+
0: 'IGNORED',
|
77 |
+
}[diag.severity],
|
78 |
+
diag.location.file,
|
79 |
+
diag.location.line,
|
80 |
+
diag.location.column,
|
81 |
+
diag.spelling
|
82 |
+
), file=out)
|
83 |
+
|
84 |
+
class CCodeConverter(BaseParser):
|
85 |
+
"""The Code Convereter for Clang AST
|
86 |
+
|
87 |
+
The converter object takes the C source code or file as input and
|
88 |
+
converts them to SymPy Expressions.
|
89 |
+
"""
|
90 |
+
|
91 |
+
def __init__(self):
|
92 |
+
"""Initializes the code converter"""
|
93 |
+
super().__init__()
|
94 |
+
self._py_nodes = []
|
95 |
+
self._data_types = {
|
96 |
+
"void": {
|
97 |
+
cin.TypeKind.VOID: none
|
98 |
+
},
|
99 |
+
"bool": {
|
100 |
+
cin.TypeKind.BOOL: bool_
|
101 |
+
},
|
102 |
+
"int": {
|
103 |
+
cin.TypeKind.SCHAR: int8,
|
104 |
+
cin.TypeKind.SHORT: int16,
|
105 |
+
cin.TypeKind.INT: intc,
|
106 |
+
cin.TypeKind.LONG: int64,
|
107 |
+
cin.TypeKind.UCHAR: uint8,
|
108 |
+
cin.TypeKind.USHORT: uint16,
|
109 |
+
cin.TypeKind.UINT: uint32,
|
110 |
+
cin.TypeKind.ULONG: uint64
|
111 |
+
},
|
112 |
+
"float": {
|
113 |
+
cin.TypeKind.FLOAT: float32,
|
114 |
+
cin.TypeKind.DOUBLE: float64,
|
115 |
+
cin.TypeKind.LONGDOUBLE: float80
|
116 |
+
}
|
117 |
+
}
|
118 |
+
|
119 |
+
def parse(self, filenames, flags):
|
120 |
+
"""Function to parse a file with C source code
|
121 |
+
|
122 |
+
It takes the filename as an attribute and creates a Clang AST
|
123 |
+
Translation Unit parsing the file.
|
124 |
+
Then the transformation function is called on the translation unit,
|
125 |
+
whose reults are collected into a list which is returned by the
|
126 |
+
function.
|
127 |
+
|
128 |
+
Parameters
|
129 |
+
==========
|
130 |
+
|
131 |
+
filenames : string
|
132 |
+
Path to the C file to be parsed
|
133 |
+
|
134 |
+
flags: list
|
135 |
+
Arguments to be passed to Clang while parsing the C code
|
136 |
+
|
137 |
+
Returns
|
138 |
+
=======
|
139 |
+
|
140 |
+
py_nodes: list
|
141 |
+
A list of SymPy AST nodes
|
142 |
+
|
143 |
+
"""
|
144 |
+
filename = os.path.abspath(filenames)
|
145 |
+
self.tu = self.index.parse(
|
146 |
+
filename,
|
147 |
+
args=flags,
|
148 |
+
options=cin.TranslationUnit.PARSE_DETAILED_PROCESSING_RECORD
|
149 |
+
)
|
150 |
+
for child in self.tu.cursor.get_children():
|
151 |
+
if child.kind == cin.CursorKind.VAR_DECL:
|
152 |
+
self._py_nodes.append(self.transform(child))
|
153 |
+
elif (child.kind == cin.CursorKind.FUNCTION_DECL):
|
154 |
+
self._py_nodes.append(self.transform(child))
|
155 |
+
else:
|
156 |
+
pass
|
157 |
+
return self._py_nodes
|
158 |
+
|
159 |
+
def parse_str(self, source, flags):
|
160 |
+
"""Function to parse a string with C source code
|
161 |
+
|
162 |
+
It takes the source code as an attribute, stores it in a temporary
|
163 |
+
file and creates a Clang AST Translation Unit parsing the file.
|
164 |
+
Then the transformation function is called on the translation unit,
|
165 |
+
whose reults are collected into a list which is returned by the
|
166 |
+
function.
|
167 |
+
|
168 |
+
Parameters
|
169 |
+
==========
|
170 |
+
|
171 |
+
source : string
|
172 |
+
Path to the C file to be parsed
|
173 |
+
|
174 |
+
flags: list
|
175 |
+
Arguments to be passed to Clang while parsing the C code
|
176 |
+
|
177 |
+
Returns
|
178 |
+
=======
|
179 |
+
|
180 |
+
py_nodes: list
|
181 |
+
A list of SymPy AST nodes
|
182 |
+
|
183 |
+
"""
|
184 |
+
file = tempfile.NamedTemporaryFile(mode = 'w+', suffix = '.cpp')
|
185 |
+
file.write(source)
|
186 |
+
file.seek(0)
|
187 |
+
self.tu = self.index.parse(
|
188 |
+
file.name,
|
189 |
+
args=flags,
|
190 |
+
options=cin.TranslationUnit.PARSE_DETAILED_PROCESSING_RECORD
|
191 |
+
)
|
192 |
+
file.close()
|
193 |
+
for child in self.tu.cursor.get_children():
|
194 |
+
if child.kind == cin.CursorKind.VAR_DECL:
|
195 |
+
self._py_nodes.append(self.transform(child))
|
196 |
+
elif (child.kind == cin.CursorKind.FUNCTION_DECL):
|
197 |
+
self._py_nodes.append(self.transform(child))
|
198 |
+
else:
|
199 |
+
pass
|
200 |
+
return self._py_nodes
|
201 |
+
|
202 |
+
def transform(self, node):
|
203 |
+
"""Transformation Function for Clang AST nodes
|
204 |
+
|
205 |
+
It determines the kind of node and calls the respective
|
206 |
+
transformation function for that node.
|
207 |
+
|
208 |
+
Raises
|
209 |
+
======
|
210 |
+
|
211 |
+
NotImplementedError : if the transformation for the provided node
|
212 |
+
is not implemented
|
213 |
+
|
214 |
+
"""
|
215 |
+
try:
|
216 |
+
handler = getattr(self, 'transform_%s' % node.kind.name.lower())
|
217 |
+
except AttributeError:
|
218 |
+
print(
|
219 |
+
"Ignoring node of type %s (%s)" % (
|
220 |
+
node.kind,
|
221 |
+
' '.join(
|
222 |
+
t.spelling for t in node.get_tokens())
|
223 |
+
),
|
224 |
+
file=sys.stderr
|
225 |
+
)
|
226 |
+
handler = None
|
227 |
+
if handler:
|
228 |
+
result = handler(node)
|
229 |
+
return result
|
230 |
+
|
231 |
+
def transform_var_decl(self, node):
|
232 |
+
"""Transformation Function for Variable Declaration
|
233 |
+
|
234 |
+
Used to create nodes for variable declarations and assignments with
|
235 |
+
values or function call for the respective nodes in the clang AST
|
236 |
+
|
237 |
+
Returns
|
238 |
+
=======
|
239 |
+
|
240 |
+
A variable node as Declaration, with the initial value if given
|
241 |
+
|
242 |
+
Raises
|
243 |
+
======
|
244 |
+
|
245 |
+
NotImplementedError : if called for data types not currently
|
246 |
+
implemented
|
247 |
+
|
248 |
+
Notes
|
249 |
+
=====
|
250 |
+
|
251 |
+
The function currently supports following data types:
|
252 |
+
|
253 |
+
Boolean:
|
254 |
+
bool, _Bool
|
255 |
+
|
256 |
+
Integer:
|
257 |
+
8-bit: signed char and unsigned char
|
258 |
+
16-bit: short, short int, signed short,
|
259 |
+
signed short int, unsigned short, unsigned short int
|
260 |
+
32-bit: int, signed int, unsigned int
|
261 |
+
64-bit: long, long int, signed long,
|
262 |
+
signed long int, unsigned long, unsigned long int
|
263 |
+
|
264 |
+
Floating point:
|
265 |
+
Single Precision: float
|
266 |
+
Double Precision: double
|
267 |
+
Extended Precision: long double
|
268 |
+
|
269 |
+
"""
|
270 |
+
if node.type.kind in self._data_types["int"]:
|
271 |
+
type = self._data_types["int"][node.type.kind]
|
272 |
+
elif node.type.kind in self._data_types["float"]:
|
273 |
+
type = self._data_types["float"][node.type.kind]
|
274 |
+
elif node.type.kind in self._data_types["bool"]:
|
275 |
+
type = self._data_types["bool"][node.type.kind]
|
276 |
+
else:
|
277 |
+
raise NotImplementedError("Only bool, int "
|
278 |
+
"and float are supported")
|
279 |
+
try:
|
280 |
+
children = node.get_children()
|
281 |
+
child = next(children)
|
282 |
+
#ignoring namespace and type details for the variable
|
283 |
+
while child.kind == cin.CursorKind.NAMESPACE_REF:
|
284 |
+
child = next(children)
|
285 |
+
|
286 |
+
while child.kind == cin.CursorKind.TYPE_REF:
|
287 |
+
child = next(children)
|
288 |
+
|
289 |
+
val = self.transform(child)
|
290 |
+
|
291 |
+
supported_rhs = [
|
292 |
+
cin.CursorKind.INTEGER_LITERAL,
|
293 |
+
cin.CursorKind.FLOATING_LITERAL,
|
294 |
+
cin.CursorKind.UNEXPOSED_EXPR,
|
295 |
+
cin.CursorKind.BINARY_OPERATOR,
|
296 |
+
cin.CursorKind.PAREN_EXPR,
|
297 |
+
cin.CursorKind.UNARY_OPERATOR,
|
298 |
+
cin.CursorKind.CXX_BOOL_LITERAL_EXPR
|
299 |
+
]
|
300 |
+
|
301 |
+
if child.kind in supported_rhs:
|
302 |
+
if isinstance(val, str):
|
303 |
+
value = Symbol(val)
|
304 |
+
elif isinstance(val, bool):
|
305 |
+
if node.type.kind in self._data_types["int"]:
|
306 |
+
value = Integer(0) if val == False else Integer(1)
|
307 |
+
elif node.type.kind in self._data_types["float"]:
|
308 |
+
value = Float(0.0) if val == False else Float(1.0)
|
309 |
+
elif node.type.kind in self._data_types["bool"]:
|
310 |
+
value = sympify(val)
|
311 |
+
elif isinstance(val, (Integer, int, Float, float)):
|
312 |
+
if node.type.kind in self._data_types["int"]:
|
313 |
+
value = Integer(val)
|
314 |
+
elif node.type.kind in self._data_types["float"]:
|
315 |
+
value = Float(val)
|
316 |
+
elif node.type.kind in self._data_types["bool"]:
|
317 |
+
value = sympify(bool(val))
|
318 |
+
else:
|
319 |
+
value = val
|
320 |
+
|
321 |
+
return Variable(
|
322 |
+
node.spelling
|
323 |
+
).as_Declaration(
|
324 |
+
type = type,
|
325 |
+
value = value
|
326 |
+
)
|
327 |
+
|
328 |
+
elif child.kind == cin.CursorKind.CALL_EXPR:
|
329 |
+
return Variable(
|
330 |
+
node.spelling
|
331 |
+
).as_Declaration(
|
332 |
+
value = val
|
333 |
+
)
|
334 |
+
|
335 |
+
else:
|
336 |
+
raise NotImplementedError("Given "
|
337 |
+
"variable declaration \"{}\" "
|
338 |
+
"is not possible to parse yet!"
|
339 |
+
.format(" ".join(
|
340 |
+
t.spelling for t in node.get_tokens()
|
341 |
+
)
|
342 |
+
))
|
343 |
+
|
344 |
+
except StopIteration:
|
345 |
+
return Variable(
|
346 |
+
node.spelling
|
347 |
+
).as_Declaration(
|
348 |
+
type = type
|
349 |
+
)
|
350 |
+
|
351 |
+
def transform_function_decl(self, node):
|
352 |
+
"""Transformation Function For Function Declaration
|
353 |
+
|
354 |
+
Used to create nodes for function declarations and definitions for
|
355 |
+
the respective nodes in the clang AST
|
356 |
+
|
357 |
+
Returns
|
358 |
+
=======
|
359 |
+
|
360 |
+
function : Codegen AST node
|
361 |
+
- FunctionPrototype node if function body is not present
|
362 |
+
- FunctionDefinition node if the function body is present
|
363 |
+
|
364 |
+
|
365 |
+
"""
|
366 |
+
|
367 |
+
if node.result_type.kind in self._data_types["int"]:
|
368 |
+
ret_type = self._data_types["int"][node.result_type.kind]
|
369 |
+
elif node.result_type.kind in self._data_types["float"]:
|
370 |
+
ret_type = self._data_types["float"][node.result_type.kind]
|
371 |
+
elif node.result_type.kind in self._data_types["bool"]:
|
372 |
+
ret_type = self._data_types["bool"][node.result_type.kind]
|
373 |
+
elif node.result_type.kind in self._data_types["void"]:
|
374 |
+
ret_type = self._data_types["void"][node.result_type.kind]
|
375 |
+
else:
|
376 |
+
raise NotImplementedError("Only void, bool, int "
|
377 |
+
"and float are supported")
|
378 |
+
body = []
|
379 |
+
param = []
|
380 |
+
try:
|
381 |
+
children = node.get_children()
|
382 |
+
child = next(children)
|
383 |
+
|
384 |
+
# If the node has any children, the first children will be the
|
385 |
+
# return type and namespace for the function declaration. These
|
386 |
+
# nodes can be ignored.
|
387 |
+
while child.kind == cin.CursorKind.NAMESPACE_REF:
|
388 |
+
child = next(children)
|
389 |
+
|
390 |
+
while child.kind == cin.CursorKind.TYPE_REF:
|
391 |
+
child = next(children)
|
392 |
+
|
393 |
+
|
394 |
+
# Subsequent nodes will be the parameters for the function.
|
395 |
+
try:
|
396 |
+
while True:
|
397 |
+
decl = self.transform(child)
|
398 |
+
if (child.kind == cin.CursorKind.PARM_DECL):
|
399 |
+
param.append(decl)
|
400 |
+
elif (child.kind == cin.CursorKind.COMPOUND_STMT):
|
401 |
+
for val in decl:
|
402 |
+
body.append(val)
|
403 |
+
else:
|
404 |
+
body.append(decl)
|
405 |
+
child = next(children)
|
406 |
+
except StopIteration:
|
407 |
+
pass
|
408 |
+
except StopIteration:
|
409 |
+
pass
|
410 |
+
|
411 |
+
if body == []:
|
412 |
+
function = FunctionPrototype(
|
413 |
+
return_type = ret_type,
|
414 |
+
name = node.spelling,
|
415 |
+
parameters = param
|
416 |
+
)
|
417 |
+
else:
|
418 |
+
function = FunctionDefinition(
|
419 |
+
return_type = ret_type,
|
420 |
+
name = node.spelling,
|
421 |
+
parameters = param,
|
422 |
+
body = body
|
423 |
+
)
|
424 |
+
return function
|
425 |
+
|
426 |
+
def transform_parm_decl(self, node):
|
427 |
+
"""Transformation function for Parameter Declaration
|
428 |
+
|
429 |
+
Used to create parameter nodes for the required functions for the
|
430 |
+
respective nodes in the clang AST
|
431 |
+
|
432 |
+
Returns
|
433 |
+
=======
|
434 |
+
|
435 |
+
param : Codegen AST Node
|
436 |
+
Variable node with the value and type of the variable
|
437 |
+
|
438 |
+
Raises
|
439 |
+
======
|
440 |
+
|
441 |
+
ValueError if multiple children encountered in the parameter node
|
442 |
+
|
443 |
+
"""
|
444 |
+
if node.type.kind in self._data_types["int"]:
|
445 |
+
type = self._data_types["int"][node.type.kind]
|
446 |
+
elif node.type.kind in self._data_types["float"]:
|
447 |
+
type = self._data_types["float"][node.type.kind]
|
448 |
+
elif node.type.kind in self._data_types["bool"]:
|
449 |
+
type = self._data_types["bool"][node.type.kind]
|
450 |
+
else:
|
451 |
+
raise NotImplementedError("Only bool, int "
|
452 |
+
"and float are supported")
|
453 |
+
try:
|
454 |
+
children = node.get_children()
|
455 |
+
child = next(children)
|
456 |
+
|
457 |
+
# Any namespace nodes can be ignored
|
458 |
+
while child.kind in [cin.CursorKind.NAMESPACE_REF,
|
459 |
+
cin.CursorKind.TYPE_REF,
|
460 |
+
cin.CursorKind.TEMPLATE_REF]:
|
461 |
+
child = next(children)
|
462 |
+
|
463 |
+
# If there is a child, it is the default value of the parameter.
|
464 |
+
lit = self.transform(child)
|
465 |
+
if node.type.kind in self._data_types["int"]:
|
466 |
+
val = Integer(lit)
|
467 |
+
elif node.type.kind in self._data_types["float"]:
|
468 |
+
val = Float(lit)
|
469 |
+
elif node.type.kind in self._data_types["bool"]:
|
470 |
+
val = sympify(bool(lit))
|
471 |
+
else:
|
472 |
+
raise NotImplementedError("Only bool, int "
|
473 |
+
"and float are supported")
|
474 |
+
|
475 |
+
param = Variable(
|
476 |
+
node.spelling
|
477 |
+
).as_Declaration(
|
478 |
+
type = type,
|
479 |
+
value = val
|
480 |
+
)
|
481 |
+
except StopIteration:
|
482 |
+
param = Variable(
|
483 |
+
node.spelling
|
484 |
+
).as_Declaration(
|
485 |
+
type = type
|
486 |
+
)
|
487 |
+
|
488 |
+
try:
|
489 |
+
self.transform(next(children))
|
490 |
+
raise ValueError("Can't handle multiple children on parameter")
|
491 |
+
except StopIteration:
|
492 |
+
pass
|
493 |
+
|
494 |
+
return param
|
495 |
+
|
496 |
+
def transform_integer_literal(self, node):
|
497 |
+
"""Transformation function for integer literal
|
498 |
+
|
499 |
+
Used to get the value and type of the given integer literal.
|
500 |
+
|
501 |
+
Returns
|
502 |
+
=======
|
503 |
+
|
504 |
+
val : list
|
505 |
+
List with two arguments type and Value
|
506 |
+
type contains the type of the integer
|
507 |
+
value contains the value stored in the variable
|
508 |
+
|
509 |
+
Notes
|
510 |
+
=====
|
511 |
+
|
512 |
+
Only Base Integer type supported for now
|
513 |
+
|
514 |
+
"""
|
515 |
+
try:
|
516 |
+
value = next(node.get_tokens()).spelling
|
517 |
+
except StopIteration:
|
518 |
+
# No tokens
|
519 |
+
value = node.literal
|
520 |
+
return int(value)
|
521 |
+
|
522 |
+
def transform_floating_literal(self, node):
|
523 |
+
"""Transformation function for floating literal
|
524 |
+
|
525 |
+
Used to get the value and type of the given floating literal.
|
526 |
+
|
527 |
+
Returns
|
528 |
+
=======
|
529 |
+
|
530 |
+
val : list
|
531 |
+
List with two arguments type and Value
|
532 |
+
type contains the type of float
|
533 |
+
value contains the value stored in the variable
|
534 |
+
|
535 |
+
Notes
|
536 |
+
=====
|
537 |
+
|
538 |
+
Only Base Float type supported for now
|
539 |
+
|
540 |
+
"""
|
541 |
+
try:
|
542 |
+
value = next(node.get_tokens()).spelling
|
543 |
+
except (StopIteration, ValueError):
|
544 |
+
# No tokens
|
545 |
+
value = node.literal
|
546 |
+
return float(value)
|
547 |
+
|
548 |
+
def transform_string_literal(self, node):
|
549 |
+
#TODO: No string type in AST
|
550 |
+
#type =
|
551 |
+
#try:
|
552 |
+
# value = next(node.get_tokens()).spelling
|
553 |
+
#except (StopIteration, ValueError):
|
554 |
+
# No tokens
|
555 |
+
# value = node.literal
|
556 |
+
#val = [type, value]
|
557 |
+
#return val
|
558 |
+
pass
|
559 |
+
|
560 |
+
def transform_character_literal(self, node):
|
561 |
+
"""Transformation function for character literal
|
562 |
+
|
563 |
+
Used to get the value of the given character literal.
|
564 |
+
|
565 |
+
Returns
|
566 |
+
=======
|
567 |
+
|
568 |
+
val : int
|
569 |
+
val contains the ascii value of the character literal
|
570 |
+
|
571 |
+
Notes
|
572 |
+
=====
|
573 |
+
|
574 |
+
Only for cases where character is assigned to a integer value,
|
575 |
+
since character literal is not in SymPy AST
|
576 |
+
|
577 |
+
"""
|
578 |
+
try:
|
579 |
+
value = next(node.get_tokens()).spelling
|
580 |
+
except (StopIteration, ValueError):
|
581 |
+
# No tokens
|
582 |
+
value = node.literal
|
583 |
+
return ord(str(value[1]))
|
584 |
+
|
585 |
+
def transform_cxx_bool_literal_expr(self, node):
|
586 |
+
"""Transformation function for boolean literal
|
587 |
+
|
588 |
+
Used to get the value of the given boolean literal.
|
589 |
+
|
590 |
+
Returns
|
591 |
+
=======
|
592 |
+
|
593 |
+
value : bool
|
594 |
+
value contains the boolean value of the variable
|
595 |
+
|
596 |
+
"""
|
597 |
+
try:
|
598 |
+
value = next(node.get_tokens()).spelling
|
599 |
+
except (StopIteration, ValueError):
|
600 |
+
value = node.literal
|
601 |
+
return True if value == 'true' else False
|
602 |
+
|
603 |
+
def transform_unexposed_decl(self,node):
|
604 |
+
"""Transformation function for unexposed declarations"""
|
605 |
+
pass
|
606 |
+
|
607 |
+
def transform_unexposed_expr(self, node):
|
608 |
+
"""Transformation function for unexposed expression
|
609 |
+
|
610 |
+
Unexposed expressions are used to wrap float, double literals and
|
611 |
+
expressions
|
612 |
+
|
613 |
+
Returns
|
614 |
+
=======
|
615 |
+
|
616 |
+
expr : Codegen AST Node
|
617 |
+
the result from the wrapped expression
|
618 |
+
|
619 |
+
None : NoneType
|
620 |
+
No childs are found for the node
|
621 |
+
|
622 |
+
Raises
|
623 |
+
======
|
624 |
+
|
625 |
+
ValueError if the expression contains multiple children
|
626 |
+
|
627 |
+
"""
|
628 |
+
# Ignore unexposed nodes; pass whatever is the first
|
629 |
+
# (and should be only) child unaltered.
|
630 |
+
try:
|
631 |
+
children = node.get_children()
|
632 |
+
expr = self.transform(next(children))
|
633 |
+
except StopIteration:
|
634 |
+
return None
|
635 |
+
|
636 |
+
try:
|
637 |
+
next(children)
|
638 |
+
raise ValueError("Unexposed expression has > 1 children.")
|
639 |
+
except StopIteration:
|
640 |
+
pass
|
641 |
+
|
642 |
+
return expr
|
643 |
+
|
644 |
+
def transform_decl_ref_expr(self, node):
|
645 |
+
"""Returns the name of the declaration reference"""
|
646 |
+
return node.spelling
|
647 |
+
|
648 |
+
def transform_call_expr(self, node):
|
649 |
+
"""Transformation function for a call expression
|
650 |
+
|
651 |
+
Used to create function call nodes for the function calls present
|
652 |
+
in the C code
|
653 |
+
|
654 |
+
Returns
|
655 |
+
=======
|
656 |
+
|
657 |
+
FunctionCall : Codegen AST Node
|
658 |
+
FunctionCall node with parameters if any parameters are present
|
659 |
+
|
660 |
+
"""
|
661 |
+
param = []
|
662 |
+
children = node.get_children()
|
663 |
+
child = next(children)
|
664 |
+
|
665 |
+
while child.kind == cin.CursorKind.NAMESPACE_REF:
|
666 |
+
child = next(children)
|
667 |
+
while child.kind == cin.CursorKind.TYPE_REF:
|
668 |
+
child = next(children)
|
669 |
+
|
670 |
+
first_child = self.transform(child)
|
671 |
+
try:
|
672 |
+
for child in children:
|
673 |
+
arg = self.transform(child)
|
674 |
+
if (child.kind == cin.CursorKind.INTEGER_LITERAL):
|
675 |
+
param.append(Integer(arg))
|
676 |
+
elif (child.kind == cin.CursorKind.FLOATING_LITERAL):
|
677 |
+
param.append(Float(arg))
|
678 |
+
else:
|
679 |
+
param.append(arg)
|
680 |
+
return FunctionCall(first_child, param)
|
681 |
+
|
682 |
+
except StopIteration:
|
683 |
+
return FunctionCall(first_child)
|
684 |
+
|
685 |
+
def transform_return_stmt(self, node):
|
686 |
+
"""Returns the Return Node for a return statement"""
|
687 |
+
return Return(next(node.get_children()).spelling)
|
688 |
+
|
689 |
+
def transform_compound_stmt(self, node):
|
690 |
+
"""Transformation function for compond statemets
|
691 |
+
|
692 |
+
Returns
|
693 |
+
=======
|
694 |
+
|
695 |
+
expr : list
|
696 |
+
list of Nodes for the expressions present in the statement
|
697 |
+
|
698 |
+
None : NoneType
|
699 |
+
if the compound statement is empty
|
700 |
+
|
701 |
+
"""
|
702 |
+
try:
|
703 |
+
expr = []
|
704 |
+
children = node.get_children()
|
705 |
+
for child in children:
|
706 |
+
expr.append(self.transform(child))
|
707 |
+
except StopIteration:
|
708 |
+
return None
|
709 |
+
return expr
|
710 |
+
|
711 |
+
def transform_decl_stmt(self, node):
|
712 |
+
"""Transformation function for declaration statements
|
713 |
+
|
714 |
+
These statements are used to wrap different kinds of declararions
|
715 |
+
like variable or function declaration
|
716 |
+
The function calls the transformer function for the child of the
|
717 |
+
given node
|
718 |
+
|
719 |
+
Returns
|
720 |
+
=======
|
721 |
+
|
722 |
+
statement : Codegen AST Node
|
723 |
+
contains the node returned by the children node for the type of
|
724 |
+
declaration
|
725 |
+
|
726 |
+
Raises
|
727 |
+
======
|
728 |
+
|
729 |
+
ValueError if multiple children present
|
730 |
+
|
731 |
+
"""
|
732 |
+
try:
|
733 |
+
children = node.get_children()
|
734 |
+
statement = self.transform(next(children))
|
735 |
+
except StopIteration:
|
736 |
+
pass
|
737 |
+
|
738 |
+
try:
|
739 |
+
self.transform(next(children))
|
740 |
+
raise ValueError("Don't know how to handle multiple statements")
|
741 |
+
except StopIteration:
|
742 |
+
pass
|
743 |
+
|
744 |
+
return statement
|
745 |
+
|
746 |
+
def transform_paren_expr(self, node):
|
747 |
+
"""Transformation function for Parenthesized expressions
|
748 |
+
|
749 |
+
Returns the result from its children nodes
|
750 |
+
|
751 |
+
"""
|
752 |
+
return self.transform(next(node.get_children()))
|
753 |
+
|
754 |
+
def transform_compound_assignment_operator(self, node):
|
755 |
+
"""Transformation function for handling shorthand operators
|
756 |
+
|
757 |
+
Returns
|
758 |
+
=======
|
759 |
+
|
760 |
+
augmented_assignment_expression: Codegen AST node
|
761 |
+
shorthand assignment expression represented as Codegen AST
|
762 |
+
|
763 |
+
Raises
|
764 |
+
======
|
765 |
+
|
766 |
+
NotImplementedError
|
767 |
+
If the shorthand operator for bitwise operators
|
768 |
+
(~=, ^=, &=, |=, <<=, >>=) is encountered
|
769 |
+
|
770 |
+
"""
|
771 |
+
return self.transform_binary_operator(node)
|
772 |
+
|
773 |
+
def transform_unary_operator(self, node):
|
774 |
+
"""Transformation function for handling unary operators
|
775 |
+
|
776 |
+
Returns
|
777 |
+
=======
|
778 |
+
|
779 |
+
unary_expression: Codegen AST node
|
780 |
+
simplified unary expression represented as Codegen AST
|
781 |
+
|
782 |
+
Raises
|
783 |
+
======
|
784 |
+
|
785 |
+
NotImplementedError
|
786 |
+
If dereferencing operator(*), address operator(&) or
|
787 |
+
bitwise NOT operator(~) is encountered
|
788 |
+
|
789 |
+
"""
|
790 |
+
# supported operators list
|
791 |
+
operators_list = ['+', '-', '++', '--', '!']
|
792 |
+
tokens = list(node.get_tokens())
|
793 |
+
|
794 |
+
# it can be either pre increment/decrement or any other operator from the list
|
795 |
+
if tokens[0].spelling in operators_list:
|
796 |
+
child = self.transform(next(node.get_children()))
|
797 |
+
# (decl_ref) e.g.; int a = ++b; or simply ++b;
|
798 |
+
if isinstance(child, str):
|
799 |
+
if tokens[0].spelling == '+':
|
800 |
+
return Symbol(child)
|
801 |
+
if tokens[0].spelling == '-':
|
802 |
+
return Mul(Symbol(child), -1)
|
803 |
+
if tokens[0].spelling == '++':
|
804 |
+
return PreIncrement(Symbol(child))
|
805 |
+
if tokens[0].spelling == '--':
|
806 |
+
return PreDecrement(Symbol(child))
|
807 |
+
if tokens[0].spelling == '!':
|
808 |
+
return Not(Symbol(child))
|
809 |
+
# e.g.; int a = -1; or int b = -(1 + 2);
|
810 |
+
else:
|
811 |
+
if tokens[0].spelling == '+':
|
812 |
+
return child
|
813 |
+
if tokens[0].spelling == '-':
|
814 |
+
return Mul(child, -1)
|
815 |
+
if tokens[0].spelling == '!':
|
816 |
+
return Not(sympify(bool(child)))
|
817 |
+
|
818 |
+
# it can be either post increment/decrement
|
819 |
+
# since variable name is obtained in token[0].spelling
|
820 |
+
elif tokens[1].spelling in ['++', '--']:
|
821 |
+
child = self.transform(next(node.get_children()))
|
822 |
+
if tokens[1].spelling == '++':
|
823 |
+
return PostIncrement(Symbol(child))
|
824 |
+
if tokens[1].spelling == '--':
|
825 |
+
return PostDecrement(Symbol(child))
|
826 |
+
else:
|
827 |
+
raise NotImplementedError("Dereferencing operator, "
|
828 |
+
"Address operator and bitwise NOT operator "
|
829 |
+
"have not been implemented yet!")
|
830 |
+
|
831 |
+
def transform_binary_operator(self, node):
|
832 |
+
"""Transformation function for handling binary operators
|
833 |
+
|
834 |
+
Returns
|
835 |
+
=======
|
836 |
+
|
837 |
+
binary_expression: Codegen AST node
|
838 |
+
simplified binary expression represented as Codegen AST
|
839 |
+
|
840 |
+
Raises
|
841 |
+
======
|
842 |
+
|
843 |
+
NotImplementedError
|
844 |
+
If a bitwise operator or
|
845 |
+
unary operator(which is a child of any binary
|
846 |
+
operator in Clang AST) is encountered
|
847 |
+
|
848 |
+
"""
|
849 |
+
# get all the tokens of assignment
|
850 |
+
# and store it in the tokens list
|
851 |
+
tokens = list(node.get_tokens())
|
852 |
+
|
853 |
+
# supported operators list
|
854 |
+
operators_list = ['+', '-', '*', '/', '%','=',
|
855 |
+
'>', '>=', '<', '<=', '==', '!=', '&&', '||', '+=', '-=',
|
856 |
+
'*=', '/=', '%=']
|
857 |
+
|
858 |
+
# this stack will contain variable content
|
859 |
+
# and type of variable in the rhs
|
860 |
+
combined_variables_stack = []
|
861 |
+
|
862 |
+
# this stack will contain operators
|
863 |
+
# to be processed in the rhs
|
864 |
+
operators_stack = []
|
865 |
+
|
866 |
+
# iterate through every token
|
867 |
+
for token in tokens:
|
868 |
+
# token is either '(', ')' or
|
869 |
+
# any of the supported operators from the operator list
|
870 |
+
if token.kind == cin.TokenKind.PUNCTUATION:
|
871 |
+
|
872 |
+
# push '(' to the operators stack
|
873 |
+
if token.spelling == '(':
|
874 |
+
operators_stack.append('(')
|
875 |
+
|
876 |
+
elif token.spelling == ')':
|
877 |
+
# keep adding the expression to the
|
878 |
+
# combined variables stack unless
|
879 |
+
# '(' is found
|
880 |
+
while (operators_stack
|
881 |
+
and operators_stack[-1] != '('):
|
882 |
+
if len(combined_variables_stack) < 2:
|
883 |
+
raise NotImplementedError(
|
884 |
+
"Unary operators as a part of "
|
885 |
+
"binary operators is not "
|
886 |
+
"supported yet!")
|
887 |
+
rhs = combined_variables_stack.pop()
|
888 |
+
lhs = combined_variables_stack.pop()
|
889 |
+
operator = operators_stack.pop()
|
890 |
+
combined_variables_stack.append(
|
891 |
+
self.perform_operation(
|
892 |
+
lhs, rhs, operator))
|
893 |
+
|
894 |
+
# pop '('
|
895 |
+
operators_stack.pop()
|
896 |
+
|
897 |
+
# token is an operator (supported)
|
898 |
+
elif token.spelling in operators_list:
|
899 |
+
while (operators_stack
|
900 |
+
and self.priority_of(token.spelling)
|
901 |
+
<= self.priority_of(
|
902 |
+
operators_stack[-1])):
|
903 |
+
if len(combined_variables_stack) < 2:
|
904 |
+
raise NotImplementedError(
|
905 |
+
"Unary operators as a part of "
|
906 |
+
"binary operators is not "
|
907 |
+
"supported yet!")
|
908 |
+
rhs = combined_variables_stack.pop()
|
909 |
+
lhs = combined_variables_stack.pop()
|
910 |
+
operator = operators_stack.pop()
|
911 |
+
combined_variables_stack.append(
|
912 |
+
self.perform_operation(
|
913 |
+
lhs, rhs, operator))
|
914 |
+
|
915 |
+
# push current operator
|
916 |
+
operators_stack.append(token.spelling)
|
917 |
+
|
918 |
+
# token is a bitwise operator
|
919 |
+
elif token.spelling in ['&', '|', '^', '<<', '>>']:
|
920 |
+
raise NotImplementedError(
|
921 |
+
"Bitwise operator has not been "
|
922 |
+
"implemented yet!")
|
923 |
+
|
924 |
+
# token is a shorthand bitwise operator
|
925 |
+
elif token.spelling in ['&=', '|=', '^=', '<<=',
|
926 |
+
'>>=']:
|
927 |
+
raise NotImplementedError(
|
928 |
+
"Shorthand bitwise operator has not been "
|
929 |
+
"implemented yet!")
|
930 |
+
else:
|
931 |
+
raise NotImplementedError(
|
932 |
+
"Given token {} is not implemented yet!"
|
933 |
+
.format(token.spelling))
|
934 |
+
|
935 |
+
# token is an identifier(variable)
|
936 |
+
elif token.kind == cin.TokenKind.IDENTIFIER:
|
937 |
+
combined_variables_stack.append(
|
938 |
+
[token.spelling, 'identifier'])
|
939 |
+
|
940 |
+
# token is a literal
|
941 |
+
elif token.kind == cin.TokenKind.LITERAL:
|
942 |
+
combined_variables_stack.append(
|
943 |
+
[token.spelling, 'literal'])
|
944 |
+
|
945 |
+
# token is a keyword, either true or false
|
946 |
+
elif (token.kind == cin.TokenKind.KEYWORD
|
947 |
+
and token.spelling in ['true', 'false']):
|
948 |
+
combined_variables_stack.append(
|
949 |
+
[token.spelling, 'boolean'])
|
950 |
+
else:
|
951 |
+
raise NotImplementedError(
|
952 |
+
"Given token {} is not implemented yet!"
|
953 |
+
.format(token.spelling))
|
954 |
+
|
955 |
+
# process remaining operators
|
956 |
+
while operators_stack:
|
957 |
+
if len(combined_variables_stack) < 2:
|
958 |
+
raise NotImplementedError(
|
959 |
+
"Unary operators as a part of "
|
960 |
+
"binary operators is not "
|
961 |
+
"supported yet!")
|
962 |
+
rhs = combined_variables_stack.pop()
|
963 |
+
lhs = combined_variables_stack.pop()
|
964 |
+
operator = operators_stack.pop()
|
965 |
+
combined_variables_stack.append(
|
966 |
+
self.perform_operation(lhs, rhs, operator))
|
967 |
+
|
968 |
+
return combined_variables_stack[-1][0]
|
969 |
+
|
970 |
+
def priority_of(self, op):
|
971 |
+
"""To get the priority of given operator"""
|
972 |
+
if op in ['=', '+=', '-=', '*=', '/=', '%=']:
|
973 |
+
return 1
|
974 |
+
if op in ['&&', '||']:
|
975 |
+
return 2
|
976 |
+
if op in ['<', '<=', '>', '>=', '==', '!=']:
|
977 |
+
return 3
|
978 |
+
if op in ['+', '-']:
|
979 |
+
return 4
|
980 |
+
if op in ['*', '/', '%']:
|
981 |
+
return 5
|
982 |
+
return 0
|
983 |
+
|
984 |
+
def perform_operation(self, lhs, rhs, op):
|
985 |
+
"""Performs operation supported by the SymPy core
|
986 |
+
|
987 |
+
Returns
|
988 |
+
=======
|
989 |
+
|
990 |
+
combined_variable: list
|
991 |
+
contains variable content and type of variable
|
992 |
+
|
993 |
+
"""
|
994 |
+
lhs_value = self.get_expr_for_operand(lhs)
|
995 |
+
rhs_value = self.get_expr_for_operand(rhs)
|
996 |
+
if op == '+':
|
997 |
+
return [Add(lhs_value, rhs_value), 'expr']
|
998 |
+
if op == '-':
|
999 |
+
return [Add(lhs_value, -rhs_value), 'expr']
|
1000 |
+
if op == '*':
|
1001 |
+
return [Mul(lhs_value, rhs_value), 'expr']
|
1002 |
+
if op == '/':
|
1003 |
+
return [Mul(lhs_value, Pow(rhs_value, Integer(-1))), 'expr']
|
1004 |
+
if op == '%':
|
1005 |
+
return [Mod(lhs_value, rhs_value), 'expr']
|
1006 |
+
if op in ['<', '<=', '>', '>=', '==', '!=']:
|
1007 |
+
return [Rel(lhs_value, rhs_value, op), 'expr']
|
1008 |
+
if op == '&&':
|
1009 |
+
return [And(as_Boolean(lhs_value), as_Boolean(rhs_value)), 'expr']
|
1010 |
+
if op == '||':
|
1011 |
+
return [Or(as_Boolean(lhs_value), as_Boolean(rhs_value)), 'expr']
|
1012 |
+
if op == '=':
|
1013 |
+
return [Assignment(Variable(lhs_value), rhs_value), 'expr']
|
1014 |
+
if op in ['+=', '-=', '*=', '/=', '%=']:
|
1015 |
+
return [aug_assign(Variable(lhs_value), op[0], rhs_value), 'expr']
|
1016 |
+
|
1017 |
+
def get_expr_for_operand(self, combined_variable):
|
1018 |
+
"""Gives out SymPy Codegen AST node
|
1019 |
+
|
1020 |
+
AST node returned is corresponding to
|
1021 |
+
combined variable passed.Combined variable contains
|
1022 |
+
variable content and type of variable
|
1023 |
+
|
1024 |
+
"""
|
1025 |
+
if combined_variable[1] == 'identifier':
|
1026 |
+
return Symbol(combined_variable[0])
|
1027 |
+
if combined_variable[1] == 'literal':
|
1028 |
+
if '.' in combined_variable[0]:
|
1029 |
+
return Float(float(combined_variable[0]))
|
1030 |
+
else:
|
1031 |
+
return Integer(int(combined_variable[0]))
|
1032 |
+
if combined_variable[1] == 'expr':
|
1033 |
+
return combined_variable[0]
|
1034 |
+
if combined_variable[1] == 'boolean':
|
1035 |
+
return true if combined_variable[0] == 'true' else false
|
1036 |
+
|
1037 |
+
def transform_null_stmt(self, node):
|
1038 |
+
"""Handles Null Statement and returns None"""
|
1039 |
+
return none
|
1040 |
+
|
1041 |
+
def transform_while_stmt(self, node):
|
1042 |
+
"""Transformation function for handling while statement
|
1043 |
+
|
1044 |
+
Returns
|
1045 |
+
=======
|
1046 |
+
|
1047 |
+
while statement : Codegen AST Node
|
1048 |
+
contains the while statement node having condition and
|
1049 |
+
statement block
|
1050 |
+
|
1051 |
+
"""
|
1052 |
+
children = node.get_children()
|
1053 |
+
|
1054 |
+
condition = self.transform(next(children))
|
1055 |
+
statements = self.transform(next(children))
|
1056 |
+
|
1057 |
+
if isinstance(statements, list):
|
1058 |
+
statement_block = CodeBlock(*statements)
|
1059 |
+
else:
|
1060 |
+
statement_block = CodeBlock(statements)
|
1061 |
+
|
1062 |
+
return While(condition, statement_block)
|
1063 |
+
|
1064 |
+
|
1065 |
+
|
1066 |
+
else:
|
1067 |
+
class CCodeConverter(): # type: ignore
|
1068 |
+
def __init__(self, *args, **kwargs):
|
1069 |
+
raise ImportError("Module not Installed")
|
1070 |
+
|
1071 |
+
|
1072 |
+
def parse_c(source):
|
1073 |
+
"""Function for converting a C source code
|
1074 |
+
|
1075 |
+
The function reads the source code present in the given file and parses it
|
1076 |
+
to give out SymPy Expressions
|
1077 |
+
|
1078 |
+
Returns
|
1079 |
+
=======
|
1080 |
+
|
1081 |
+
src : list
|
1082 |
+
List of Python expression strings
|
1083 |
+
|
1084 |
+
"""
|
1085 |
+
converter = CCodeConverter()
|
1086 |
+
if os.path.exists(source):
|
1087 |
+
src = converter.parse(source, flags = [])
|
1088 |
+
else:
|
1089 |
+
src = converter.parse_str(source, flags = [])
|
1090 |
+
return src
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__init__.py
ADDED
@@ -0,0 +1 @@
|
|
|
|
|
1 |
+
"""Used for translating Fortran source code into a SymPy expression. """
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__pycache__/__init__.cpython-310.pyc
ADDED
Binary file (272 Bytes). View file
|
|
llmeval-env/lib/python3.10/site-packages/sympy/parsing/fortran/__pycache__/fortran_parser.cpython-310.pyc
ADDED
Binary file (8.79 kB). View file
|
|