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| 1 | +**_gr** -- generic rings (unstable interface) |
| 2 | +=============================================================================== |
| 3 | + |
| 4 | +.. note:: |
| 5 | + This module provides a preliminary experimental interface for FLINT's |
| 6 | + generic rings. This is largely untested and the interface should be |
| 7 | + considered unstable. In future the generic rings code will be integrated |
| 8 | + with the rest of python-flint and this module may be removed. For now it |
| 9 | + provides access to many FLINT types that are not wrapped yet in the rest of |
| 10 | + python-flint. |
| 11 | + |
| 12 | +The generic rings module provides access to the generic rings interface in |
| 13 | +FLINT. Usage of this interface consists of creating a context object to |
| 14 | +represent a particular domain and then using that context object to create |
| 15 | +elements of that domain. For example to create a context for polynomials in two |
| 16 | +variables over the Gaussian integers :math:`\mathbb{Z}[i][x,y]` we would do:: |
| 17 | + |
| 18 | + >>> from flint.types._gr import gr_fmpzi_ctx, gr_gr_mpoly_ctx |
| 19 | + >>> ctx = gr_gr_mpoly_ctx.new(gr_fmpzi_ctx, ["x", "y"]) |
| 20 | + >>> ctx.gens() |
| 21 | + [x, y] |
| 22 | + >>> ctx.gens_recursive() |
| 23 | + [I, x, y] |
| 24 | + >>> I, x, y = ctx.gens_recursive() |
| 25 | + >>> p = (x + y + I)**2 |
| 26 | + >>> p |
| 27 | + x^2 + 2*x*y + (2*I)*x + y^2 + (2*I)*y - 1 |
| 28 | + |
| 29 | +.. autoclass :: flint.types._gr.gr_ctx |
| 30 | + :members: |
| 31 | + :undoc-members: |
| 32 | +
|
| 33 | +.. autoclass :: flint.types._gr.gr_scalar_ctx |
| 34 | + :members: |
| 35 | + :undoc-members: |
| 36 | +
|
| 37 | +.. autoclass :: flint.types._gr.gr_poly_ctx |
| 38 | + :members: |
| 39 | + :undoc-members: |
| 40 | +
|
| 41 | +.. autoclass :: flint.types._gr.gr_mpoly_ctx |
| 42 | + :members: |
| 43 | + :undoc-members: |
| 44 | +
|
| 45 | +.. autoclass :: flint.types._gr.gr_matrix_domain_ctx |
| 46 | + :members: |
| 47 | + :undoc-members: |
| 48 | +
|
| 49 | +.. autoclass :: flint.types._gr.gr_matrix_space_ctx |
| 50 | + :members: |
| 51 | + :undoc-members: |
| 52 | +
|
| 53 | +.. autoclass :: flint.types._gr.gr_matrix_ring_ctx |
| 54 | + :members: |
| 55 | + :undoc-members: |
| 56 | +
|
| 57 | +.. autoclass :: flint.types._gr._gr_fmpz_ctx |
| 58 | + :members: |
| 59 | + :undoc-members: |
| 60 | +
|
| 61 | +.. autoclass :: flint.types._gr._gr_fmpq_ctx |
| 62 | + :members: |
| 63 | + :undoc-members: |
| 64 | +
|
| 65 | +.. autoclass :: flint.types._gr._gr_fmpzi_ctx |
| 66 | + :members: |
| 67 | + :undoc-members: |
| 68 | +
|
| 69 | +.. autoclass :: flint.types._gr._gr_fexpr_ctx |
| 70 | + :members: |
| 71 | + :undoc-members: |
| 72 | +
|
| 73 | +.. autoclass :: flint.types._gr.gr_nmod_ctx |
| 74 | + :members: |
| 75 | + :undoc-members: |
| 76 | +
|
| 77 | +.. autoclass :: flint.types._gr.gr_fmpz_mod_ctx |
| 78 | + :members: |
| 79 | + :undoc-members: |
| 80 | +
|
| 81 | +.. autoclass :: flint.types._gr.gr_fq_ctx |
| 82 | + :members: |
| 83 | + :undoc-members: |
| 84 | +
|
| 85 | +.. autoclass :: flint.types._gr.gr_fq_nmod_ctx |
| 86 | + :members: |
| 87 | + :undoc-members: |
| 88 | +
|
| 89 | +.. autoclass :: flint.types._gr.gr_fq_zech_ctx |
| 90 | + :members: |
| 91 | + :undoc-members: |
| 92 | +
|
| 93 | +.. autoclass :: flint.types._gr.gr_nf_ctx |
| 94 | + :members: |
| 95 | + :undoc-members: |
| 96 | +
|
| 97 | +.. autoclass :: flint.types._gr.gr_nf_fmpz_poly_ctx |
| 98 | + :members: |
| 99 | + :undoc-members: |
| 100 | +
|
| 101 | +.. autoclass :: flint.types._gr.gr_real_qqbar_ctx |
| 102 | + :members: |
| 103 | + :undoc-members: |
| 104 | +
|
| 105 | +.. autoclass :: flint.types._gr.gr_complex_qqbar_ctx |
| 106 | + :members: |
| 107 | + :undoc-members: |
| 108 | +
|
| 109 | +.. autoclass :: flint.types._gr.gr_real_ca_ctx |
| 110 | + :members: |
| 111 | + :undoc-members: |
| 112 | +
|
| 113 | +.. autoclass :: flint.types._gr.gr_complex_ca_ctx |
| 114 | + :members: |
| 115 | + :undoc-members: |
| 116 | +
|
| 117 | +.. autoclass :: flint.types._gr.gr_real_algebraic_ca_ctx |
| 118 | + :members: |
| 119 | + :undoc-members: |
| 120 | +
|
| 121 | +.. autoclass :: flint.types._gr.gr_complex_algebraic_ca_ctx |
| 122 | + :members: |
| 123 | + :undoc-members: |
| 124 | +
|
| 125 | +.. autoclass :: flint.types._gr.gr_complex_extended_ca_ctx |
| 126 | + :members: |
| 127 | + :undoc-members: |
| 128 | +
|
| 129 | +.. autoclass :: flint.types._gr.gr_real_float_arf_ctx |
| 130 | + :members: |
| 131 | + :undoc-members: |
| 132 | +
|
| 133 | +.. autoclass :: flint.types._gr.gr_complex_float_acf_ctx |
| 134 | + :members: |
| 135 | + :undoc-members: |
| 136 | +
|
| 137 | +.. autoclass :: flint.types._gr.gr_real_arb_ctx |
| 138 | + :members: |
| 139 | + :undoc-members: |
| 140 | +
|
| 141 | +.. autoclass :: flint.types._gr.gr_complex_acb_ctx |
| 142 | + :members: |
| 143 | + :undoc-members: |
| 144 | +
|
| 145 | +.. autoclass :: flint.types._gr.gr_gr_poly_ctx |
| 146 | + :members: |
| 147 | + :undoc-members: |
| 148 | +
|
| 149 | +.. autoclass :: flint.types._gr.gr_gr_mpoly_ctx |
| 150 | + :members: |
| 151 | + :undoc-members: |
| 152 | +
|
| 153 | +.. autoclass :: flint.types._gr.gr_series_ctx |
| 154 | + :members: |
| 155 | + :undoc-members: |
| 156 | +
|
| 157 | +.. autoclass :: flint.types._gr.gr |
| 158 | + :members: |
| 159 | + :inherited-members: |
| 160 | + :undoc-members: |
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