def test_lcs_d(): lcs2 = get_poly_conversion(2) assert lcs2[0, 0] == -1 / S(2) # xx assert lcs2[0, 1] == 0 # xy assert lcs2[0, 2] == 0 # xz assert lcs2[0, 3] == -1 / S(2) # yy assert lcs2[0, 4] == 0 # yz assert lcs2[0, 5] == 1 # zz
def test_lcs_d(): lcs2 = get_poly_conversion(2) assert lcs2[0,0] == -1/S(2) # xx assert lcs2[0,1] == 0 # xy assert lcs2[0,2] == 0 # xz assert lcs2[0,3] == -1/S(2) # yy assert lcs2[0,4] == 0 # yz assert lcs2[0,5] == 1 # zz
def test_lcs_f(): lcs3 = get_poly_conversion(3) assert lcs3[0, 0] == 0 # xxx assert lcs3[0, 1] == 0 # xxy assert lcs3[0, 2] == -3 / S(2) / sqrt(5) # xxz assert lcs3[0, 3] == 0 # xyy assert lcs3[0, 4] == 0 # xyz assert lcs3[0, 5] == 0 # xzz assert lcs3[0, 6] == 0 # yyy assert lcs3[0, 7] == -3 / S(2) / sqrt(5) # yyz assert lcs3[0, 8] == 0 # yzz assert lcs3[0, 9] == 1 # zzz
def test_lcs_f(): lcs3 = get_poly_conversion(3) assert lcs3[0,0] == 0 # xxx assert lcs3[0,1] == 0 # xxy assert lcs3[0,2] == -3/S(2)/sqrt(5) # xxz assert lcs3[0,3] == 0 # xyy assert lcs3[0,4] == 0 # xyz assert lcs3[0,5] == 0 # xzz assert lcs3[0,6] == 0 # yyy assert lcs3[0,7] == -3/S(2)/sqrt(5) # yyz assert lcs3[0,8] == 0 # yzz assert lcs3[0,9] == 1 # zzz
def test_lcs_g(): lcs4 = get_poly_conversion(4) assert lcs4[0, 0] == 3 / S(8) # xxxx assert lcs4[0, 1] == 0 # xxxy assert lcs4[0, 2] == 0 # xxxz assert lcs4[0, 3] == 3 * sqrt(3) / sqrt(35) / S(4) # xxyy assert lcs4[0, 4] == 0 # xxyz assert lcs4[0, 5] == -3 * sqrt(3) / sqrt(35) # xxzz assert lcs4[0, 6] == 0 # xyyy assert lcs4[0, 7] == 0 # xyyz assert lcs4[0, 8] == 0 # xyzz assert lcs4[0, 9] == 0 # xzzz assert lcs4[0, 10] == 3 / S(8) # yyyy assert lcs4[0, 11] == 0 # yyyz assert lcs4[0, 12] == -3 * sqrt(3) / sqrt(35) # yyzz assert lcs4[0, 13] == 0 # yzzz assert lcs4[0, 14] == 1 # zzzz
def test_lcs_g(): lcs4 = get_poly_conversion(4) assert lcs4[0,0] == 3/S(8) # xxxx assert lcs4[0,1] == 0 # xxxy assert lcs4[0,2] == 0 # xxxz assert lcs4[0,3] == 3*sqrt(3)/sqrt(35)/S(4) # xxyy assert lcs4[0,4] == 0 # xxyz assert lcs4[0,5] == -3*sqrt(3)/sqrt(35) # xxzz assert lcs4[0,6] == 0 # xyyy assert lcs4[0,7] == 0 # xyyz assert lcs4[0,8] == 0 # xyzz assert lcs4[0,9] == 0 # xzzz assert lcs4[0,10] == 3/S(8) # yyyy assert lcs4[0,11] == 0 # yyyz assert lcs4[0,12] == -3*sqrt(3)/sqrt(35) # yyzz assert lcs4[0,13] == 0 # yzzz assert lcs4[0,14] == 1 # zzzz
def test_lcs_h(): lcs4 = get_poly_conversion(5) assert lcs4[0, 0] == 0 # xxxxx assert lcs4[0, 1] == 0 # xxxxy assert lcs4[0, 2] == 5 / S(8) # xxxxz assert lcs4[0, 3] == 0 # xxxyy assert lcs4[0, 4] == 0 # xxxyz assert lcs4[0, 5] == 0 # xxxzz assert lcs4[0, 6] == 0 # xxyyy assert lcs4[0, 7] == sqrt(15) / S(4) / sqrt(7) # xxyyz assert lcs4[0, 8] == 0 # xxyzz assert lcs4[0, 9] == -5 / sqrt(21) # xxzzz assert lcs4[0, 10] == 0 # xyyyy assert lcs4[0, 11] == 0 # xyyyz assert lcs4[0, 12] == 0 # xyyzz assert lcs4[0, 13] == 0 # xyzzz assert lcs4[0, 14] == 0 # xzzzz assert lcs4[0, 15] == 0 # yyyyy assert lcs4[0, 16] == 5 / S(8) # yyyyz assert lcs4[0, 17] == 0 # yyyzz assert lcs4[0, 18] == -5 / sqrt(21) # yyzzz assert lcs4[0, 19] == 0 # yzzzz assert lcs4[0, 20] == 1 # zzzzz
def test_lcs_h(): lcs4 = get_poly_conversion(5) assert lcs4[0,0] == 0 # xxxxx assert lcs4[0,1] == 0 # xxxxy assert lcs4[0,2] == 5/S(8) # xxxxz assert lcs4[0,3] == 0 # xxxyy assert lcs4[0,4] == 0 # xxxyz assert lcs4[0,5] == 0 # xxxzz assert lcs4[0,6] == 0 # xxyyy assert lcs4[0,7] == sqrt(15)/S(4)/sqrt(7) # xxyyz assert lcs4[0,8] == 0 # xxyzz assert lcs4[0,9] == -5/sqrt(21) # xxzzz assert lcs4[0,10] == 0 # xyyyy assert lcs4[0,11] == 0 # xyyyz assert lcs4[0,12] == 0 # xyyzz assert lcs4[0,13] == 0 # xyzzz assert lcs4[0,14] == 0 # xzzzz assert lcs4[0,15] == 0 # yyyyy assert lcs4[0,16] == 5/S(8) # yyyyz assert lcs4[0,17] == 0 # yyyzz assert lcs4[0,18] == -5/sqrt(21) # yyzzz assert lcs4[0,19] == 0 # yzzzz assert lcs4[0,20] == 1 # zzzzz