from moedebug import *
+# When cse() is called for something containing BaseVector, it
+# produces infinite recursion.
+#def cse(x, *a, **kw): return ((), (x,))
+
def dprint(*args):
if not dbg_enabled(): return
print(*args)
print('\n =\n')
pprint(cse(eval(vn)))
+def sqnorm(v): return v & v
+
N = CoordSysCartesian('N')
calculated = False
p = vector_symbols('p')
E, H = vector_symbols('E H')
+F0, G0 = vector_symbols('F0 G0')
En, Hn = vector_symbols('En Hn')
-EFl, GHl = symbols('EFl GHl')
+EFlq, HGlq = symbols('EFlq HGlq')
def vector_component(v, ix):
return v.components[N.base_vectors()[ix]]
# x array in numerical algorithm has:
# N x 3 coordinates of points 0..N-3
-# 1 EFl = length parameter |EF| for point 1
-# 1 GHl = length parameter |GH| for point N-2
+# 1 EFlq = sqrt of length parameter |EF| for point 1
+# 1 HGlq = sqrt of length parameter |HG| for point N-2
# fixed array in numerical algorithm has:
# 4 x 3 E, En, H, Hn
#def subst_vect():
+iterations = []
+
+class SomeIteration():
+ def __init__(ar, names, size, expr):
+ ar.names_string = names
+ ar.names = names.split(' ')
+ ar.name = ar.names[0]
+ ar.size = size
+ ar.expr = expr
+ if dbg_enabled():
+ print('\n ' + ar.name + '\n')
+ print(expr)
+ iterations.append(ar)
+
+ def gen_calculate_cost(ar):
+ ar._gen_array()
+ cprint('for (P=0; P<(%s); P++) {' % ar.size)
+ ar._cassign()
+ cprint('}')
+
+class ScalarArray(SomeIteration):
+ def _gen_array(ar):
+ cprint('double A_%s[%s];' % (ar.name, ar.size))
+ def gen_references(ar):
+ for ai in range(0, len(ar.names)):
+ ar._gen_reference(ai, ar.names[ai])
+ def _gen_reference(ar, ai, an):
+ cprintraw('#define %s A_%s[P%+d]' % (an, ar.name, ai))
+ def _cassign(ar):
+ cassign(ar.expr, ar.name, 'tmp_'+ar.name)
+ def s(ar):
+ return symbols(ar.names_string)
+
+class CoordArray(ScalarArray):
+ def _gen_array(ar):
+ cprint('double A_%s[%s][3];' % (ar.name, ar.size))
+ def _gen_reference(ar, ai, an):
+ ScalarArray._gen_reference(ar, ai, an)
+ gen_point_coords_macro(an)
+ def _cassign(ar):
+ cassign_vector(ar.expr, ar.name, 'tmp_'+ar.name)
+ def s(ar):
+ return vector_symbols(ar.names_string)
+
+class CostComponent(SomeIteration):
+ def __init__(cc, size, expr):
+ cc.size = size
+ cc.expr = expr
+ iterations.append(cc)
+ def gen_references(cc): pass
+ def _gen_array(cc): pass
+ def _cassign(cc):
+ cassign(cc.expr, 'P_cost', 'tmp_cost')
+ cprint('cost += P_cost;')
+
def calculate():
global calculated
if calculated: return
- Q = B + 0.5 * (B - A)
- R = C + 0.5 * (C - D)
- QR = R - Q
- BC = C - B
- cost_ABCD = (QR & QR) / (BC & BC)
- global cost_ABCD
- dbg('cost_ABCD')
- dprint(A)
+ # ---------- actual cost computation formulae ----------
+
+ global F, G
+ F = E + En * pow(EFlq, 2)
+ G = H + Hn * pow(HGlq, 2)
+
+ global a,b, al,bl, au,bu
+ a, b = CoordArray ('a_ b_', 'NP-1', B-A ).s() # [mm]
+ al, bl = ScalarArray('al bl', 'NP-1', a.magnitude() ).s() # [mm]
+ au, bu = CoordArray ('au bu', 'NP-1', a / al ).s() # [1]
+
+ tan_theta = (au ^ bu) / (au & bu) # [1] bending
- F = E + En * EFl
- G = H + Hn * GHl
+ global mu, nu
+ mu, nu = CoordArray ('mu nu', 'NP-2', tan_theta ).s() # [1]
- #cost_EFCD = subst_vect(cost_ABCD, (A,E), (B,F))
- #cost_FBCD = subst_vect(cost_ABCD, (A,F))
- #cost_ABCG = subst_vect(cost_ABCD, (D,G))
- #cost_ABGH = subst_vect(cost_ABCD, (C,G), (D,H))
+ CostComponent('NP-3', sqnorm(mu - nu)) # [1]
- # diff_A_i = cost_ABCD.diff(vector_component(A, 0))
- # global diff_A_i
- # dbg('diff_A_i')
+ dl2 = pow(al - bl, 2) # [mm^2]
+ CostComponent('NP-2', dl2 / (al*bl)) # [1]
+
+ # ---------- end of cost computation formulae ----------
calculated = True
v = cse_prep_cprint(v, tmp_prefix)
cprint(ourccode(v, assign_to=assign_to))
+def cassign_vector(v, assign_to, tmp_prefix):
+ ijk = 'i j k'.split(' ')
+ for ii in range(0, len(ijk)):
+ x = v & getattr(N, ijk[ii])
+ cassign(x, '%s[%d]' % (assign_to, ii), '%s_%s' % (tmp_prefix, ijk[ii]))
+
def gen_diff(current, smalls):
global j
if not smalls:
def gen_misc():
cprintraw('// AUTOGENERATED - DO NOT EDIT\n')
-def gen_point_index_macro(macro_basename, c_array_name, base_index):
- cprintraw('#define %s (&%s[%s])'
- % (macro_basename, c_array_name, base_index))
+def gen_point_coords_macro(macro_basename):
ijk = 'i j k'.split(' ')
for ii in range(0, len(ijk)):
cprintraw('#define %s_%s (%s[%d])'
% (macro_basename, ijk[ii], macro_basename, ii))
-def gen_abcd_ijk_macros():
+def gen_point_index_macro(macro_basename, c_array_name, base_index):
+ cprintraw('#define %s (&%s[%s])'
+ % (macro_basename, c_array_name, base_index))
+ gen_point_coords_macro(macro_basename)
+
+def gen_point_references():
abcd = 'A B C D'.split(' ')
- eh = 'E En H Hn'.split(' ')
- for ehi in range(0, len(eh)):
- gen_point_index_macro(eh[ehi], 'FIXED', ehi * 3)
+
+ gen_point_index_macro('E', 'INPUT', '3*0')
+ gen_point_index_macro('F0', 'INPUT', '3*1')
+ gen_point_index_macro('G0', 'INPUT', '3*(NP-2)')
+ gen_point_index_macro('H', 'INPUT', '3*(NP-1)')
+ cprintraw( '#define NINPUT ( 3*(NP-0) )')
+
+ gen_point_index_macro('En', 'PREP', '3*0')
+ gen_point_index_macro('Hn', 'PREP', '3*1')
+ cprintraw( '#define NPREP (3*2)')
+
+ cprintraw('#define NX_DIRECT 3*(NP-4)')
+ cprint('#define POINT(PP) (')
+ cprint(' (PP) == 0 ? E :')
+ cprint(' (PP) == 1 ? F :')
+ cprint(' (PP) == NP-2 ? G :')
+ cprint(' (PP) == NP-1 ? H :')
+ cprint(' &X[3*((PP)-2)]')
+ cprintraw(')')
+
+ cprintraw('#define EFlq X[ NX_DIRECT + 0 ]')
+ cprintraw('#define HGlq X[ NX_DIRECT + 1 ]')
+ cprintraw('#define NX ( NX_DIRECT + 2 )')
for ai in range(0, len(abcd)):
- gen_point_index_macro(abcd[ai], 'X', '(P%+d) * 3' % (ai - 2))
+ cprintraw('#define %s POINT(P%+d)' % (abcd[ai], ai))
+ gen_point_coords_macro(abcd[ai])
- cprint('#define E_CALCULATE_MID')
- cassign(cost_ABCD,'d','dtmp_mid')
+ for si in iterations:
+ si.gen_references()
-def gen_e_calculate():
- cprint('#define E_CALCULATE_MID')
- cprint('if (P==0) '
- cassign(cost_ABCD,'d','dtmp_mid')
+ cprintraw('')
+
+def gen_prepare():
+ cprint('#define PREPARE')
+ cprint('memcpy(X, &INPUT[3*2], sizeof(double) * NX_DIRECT);')
+ for EH,EHs,FG0,FGs in ((E,'E', F0,'F'),
+ (H,'H', G0,'G')):
+ EFHGv = FG0 - EH
+ EFHGl = EFHGv.magnitude()
+ EFHGlq = sqrt(EFHGl)
+ cassign_vector(EFHGv/EFHGl, EHs+'n', 'tmp_'+EHs)
+ cassign(EFHGlq, EHs+FGs+'lq', 'tmp_l'+EHs)
+ cprintraw('')
-def gen_f_populate():
- cprint('#define F_POPULATE')
- cassign(cost_ABCD,'F','ftmp')
+def gen_calculate_FG():
+ cprintraw('#define DECLARE_F_G double F[3], G[3];')
+ cprint('#define CALCULATE_F_G')
+ cassign_vector(F,'F','tmp_F')
+ cassign_vector(G,'G','tmp_G')
cprintraw('')
-def gen_j_populate():
- cprint('#define J_POPULATE')
- gen_diff(result_dirnscaled, (sh*sh*la, th*th*la))
+def gen_calculate_cost():
+ cprint('#define CALCULATE_COST')
+ cprint('double cost=0, P_cost;')
+ for si in iterations:
+ si.gen_calculate_cost()
cprintraw('')
def gen_C():
gen_misc()
- gen_abcd_ijk_macros()
- gen_e_calculate()
+ gen_point_references()
+ gen_prepare()
+ gen_calculate_FG()
+ gen_calculate_cost()
def get_python():
# https://github.com/sympy/sympy/issues/13642
~ian / moebius3.git / blobdiff