Rational numbers : detailed table of contents

• fmpq.h – rational numbers
  • Types, macros and constants
    • fmpq
    • fmpq_t
    • fmpq_numref()
    • fmpq_denref()
  • Memory management
    • fmpq_init()
    • fmpq_clear()
  • Canonicalisation
    • fmpq_canonicalise()
    • _fmpq_canonicalise()
    • fmpq_is_canonical()
    • _fmpq_is_canonical()
  • Basic assignment
    • fmpq_set()
    • fmpq_swap()
    • fmpq_neg()
    • fmpq_abs()
    • fmpq_zero()
    • fmpq_one()
  • Comparison
    • fmpq_is_zero()
    • fmpq_is_one()
    • fmpq_is_pm1()
    • fmpq_equal()
    • fmpq_equal_fmpz()
    • fmpq_equal_si()
    • fmpq_equal_ui()
    • fmpq_sgn()
    • fmpq_cmp()
    • fmpq_cmp_fmpz()
    • fmpq_cmp_si()
    • fmpq_cmp_ui()
    • fmpq_height()
    • fmpq_height_bits()
  • Conversion
    • fmpq_set_fmpz_frac()
    • fmpq_get_mpz_frac()
    • fmpq_set_si()
    • _fmpq_set_si()
    • fmpq_set_ui()
    • _fmpq_set_ui()
    • fmpq_set_mpq()
    • fmpq_set_str()
    • fmpq_get_d()
    • fmpq_get_mpq()
    • fmpq_get_mpfr()
    • _fmpq_get_str()
    • fmpq_get_str()
    • flint_mpq_init_set_readonly()
    • flint_mpq_clear_readonly()
    • fmpq_init_set_readonly()
    • fmpq_clear_readonly()
  • Input and output
    • fmpq_fprint()
    • _fmpq_fprint()
    • fmpq_print()
    • _fmpq_print()
  • Random number generation
    • fmpq_randtest()
    • _fmpq_randtest()
    • fmpq_randtest_not_zero()
    • fmpq_randbits()
    • _fmpq_randbits()
  • Arithmetic
    • fmpq_add()
    • fmpq_sub()
    • fmpq_mul()
    • fmpq_div()
    • _fmpq_add()
    • _fmpq_sub()
    • _fmpq_mul()
    • _fmpq_div()
    • _fmpq_add_si()
    • _fmpq_sub_si()
    • _fmpq_add_ui()
    • _fmpq_sub_ui()
    • _fmpq_add_fmpz()
    • _fmpq_sub_fmpz()
    • fmpq_add_si()
    • fmpq_sub_si()
    • fmpq_add_ui()
    • fmpq_sub_ui()
    • fmpq_add_fmpz()
    • fmpq_sub_fmpz()
    • _fmpq_mul_si()
    • fmpq_mul_si()
    • _fmpq_mul_ui()
    • fmpq_mul_ui()
    • fmpq_addmul()
    • fmpq_submul()
    • _fmpq_addmul()
    • _fmpq_submul()
    • fmpq_inv()
    • _fmpq_pow_si()
    • fmpq_pow_si()
    • fmpq_pow_fmpz()
    • fmpq_mul_fmpz()
    • fmpq_div_fmpz()
    • fmpq_mul_2exp()
    • fmpq_div_2exp()
    • _fmpq_gcd()
    • fmpq_gcd()
    • _fmpq_gcd_cofactors()
    • fmpq_gcd_cofactors()
    • _fmpq_add_small()
    • _fmpq_mul_small()
  • Modular reduction and rational reconstruction
    • _fmpq_mod_fmpz()
    • fmpq_mod_fmpz()
    • _fmpq_reconstruct_fmpz_2_naive()
    • _fmpq_reconstruct_fmpz_2()
    • fmpq_reconstruct_fmpz_2()
    • _fmpq_reconstruct_fmpz()
    • fmpq_reconstruct_fmpz()
  • Rational enumeration
    • _fmpq_next_minimal()
    • fmpq_next_minimal()
    • _fmpq_next_signed_minimal()
    • fmpq_next_signed_minimal()
    • _fmpq_next_calkin_wilf()
    • fmpq_next_calkin_wilf()
    • _fmpq_next_signed_calkin_wilf()
    • fmpq_next_signed_calkin_wilf()
    • fmpq_farey_neighbors()
    • _fmpq_simplest_between()
    • fmpq_simplest_between()
  • Continued fractions
    • fmpq_get_cfrac()
    • fmpq_get_cfrac_naive()
    • fmpq_set_cfrac()
    • fmpq_cfrac_bound()
  • Special functions
    • _fmpq_harmonic_ui()
    • fmpq_harmonic_ui()
  • Dedekind sums
    • fmpq_dedekind_sum()
    • fmpq_dedekind_sum_naive()
• fmpq_vec.h – vectors over rational numbers
  • Memory management
    • _fmpq_vec_init()
    • _fmpq_vec_clear()
  • Randomisation
    • _fmpq_vec_randtest()
    • _fmpq_vec_randtest_uniq_sorted()
  • Bit sizes and heights
    • _fmpq_vec_max_height()
    • _fmpq_vec_max_height_bits()
  • Comparison
    • _fmpq_vec_equal()
  • Sorting
    • _fmpq_vec_sort()
  • Conversions
    • _fmpq_vec_set_fmpz_vec()
    • _fmpq_vec_get_fmpz_vec_fmpz()
  • Dot product
    • _fmpq_vec_dot()
  • Input and output
    • _fmpq_vec_fprint()
    • _fmpq_vec_print()
• fmpq_mat.h – matrices over the rational numbers
  • Types, macros and constants
    • fmpq_mat_struct
    • fmpq_mat_t
  • Memory management
    • fmpq_mat_init()
    • fmpq_mat_init_set()
    • fmpq_mat_clear()
    • fmpq_mat_swap()
    • fmpq_mat_swap_entrywise()
  • Entry access
    • fmpq_mat_entry()
    • fmpq_mat_entry_num()
    • fmpq_mat_entry_den()
    • fmpq_mat_nrows()
    • fmpq_mat_ncols()
  • Basic assignment
    • fmpq_mat_set()
    • fmpq_mat_zero()
    • fmpq_mat_one()
    • fmpq_mat_transpose()
    • fmpq_mat_swap_rows()
    • fmpq_mat_swap_cols()
    • fmpq_mat_invert_rows()
    • fmpq_mat_invert_cols()
  • Addition, scalar multiplication
    • fmpq_mat_add()
    • fmpq_mat_sub()
    • fmpq_mat_neg()
    • fmpq_mat_scalar_mul_fmpq()
    • fmpq_mat_scalar_mul_fmpz()
    • fmpq_mat_scalar_div_fmpz()
  • Input and output
    • fmpq_mat_print()
  • Random matrix generation
    • fmpq_mat_randbits()
    • fmpq_mat_randtest()
  • Window
    • fmpq_mat_window_init()
    • fmpq_mat_window_clear()
  • Concatenate
    • fmpq_mat_concat_vertical()
    • fmpq_mat_concat_horizontal()
  • Special matrices
    • fmpq_mat_hilbert_matrix()
  • Basic comparison and properties
    • fmpq_mat_equal()
    • fmpq_mat_is_integral()
    • fmpq_mat_is_zero()
    • fmpq_mat_is_one()
    • fmpq_mat_is_empty()
    • fmpq_mat_is_square()
  • Integer matrix conversion
    • fmpq_mat_get_fmpz_mat()
    • fmpq_mat_get_fmpz_mat_entrywise()
    • fmpq_mat_get_fmpz_mat_matwise()
    • fmpq_mat_get_fmpz_mat_rowwise()
    • fmpq_mat_get_fmpz_mat_rowwise_2()
    • fmpq_mat_get_fmpz_mat_colwise()
    • fmpq_mat_set_fmpz_mat()
    • fmpq_mat_set_fmpz_mat_div_fmpz()
  • Modular reduction and rational reconstruction
    • fmpq_mat_get_fmpz_mat_mod_fmpz()
    • fmpq_mat_set_fmpz_mat_mod_fmpz()
  • Matrix multiplication
    • fmpq_mat_mul_direct()
    • fmpq_mat_mul_cleared()
    • fmpq_mat_mul()
    • fmpq_mat_mul_fmpz_mat()
    • fmpq_mat_mul_r_fmpz_mat()
    • fmpq_mat_mul_fmpq_vec()
    • fmpq_mat_mul_fmpz_vec()
    • fmpq_mat_mul_fmpq_vec_ptr()
    • fmpq_mat_mul_fmpz_vec_ptr()
    • fmpq_mat_fmpq_vec_mul()
    • fmpq_mat_fmpz_vec_mul()
    • fmpq_mat_fmpq_vec_mul_ptr()
    • fmpq_mat_fmpz_vec_mul_ptr()
  • Kronecker product
    • fmpq_mat_kronecker_product()
  • Trace
    • fmpq_mat_trace()
  • Determinant
    • fmpq_mat_det()
  • Permanent
    • fmpq_mat_permanent()
  • Nonsingular solving
    • fmpq_mat_solve_fraction_free()
    • fmpq_mat_solve_dixon()
    • fmpq_mat_solve_multi_mod()
    • fmpq_mat_solve()
    • fmpq_mat_solve_fmpz_mat_fraction_free()
    • fmpq_mat_solve_fmpz_mat_dixon()
    • fmpq_mat_solve_fmpz_mat_multi_mod()
    • fmpq_mat_solve_fmpz_mat()
    • fmpq_mat_can_solve_multi_mod()
    • fmpq_mat_can_solve_fraction_free()
    • fmpq_mat_can_solve()
  • Inverse
    • fmpq_mat_inv()
  • Echelon form
    • fmpq_mat_pivot()
    • fmpq_mat_rref_classical()
    • fmpq_mat_rref_fraction_free()
    • fmpq_mat_rref()
  • Gram-Schmidt Orthogonalisation
    • fmpq_mat_gso()
  • Transforms
    • fmpq_mat_similarity()
  • Characteristic polynomial
    • _fmpq_mat_charpoly()
    • fmpq_mat_charpoly()
  • Minimal polynomial
    • _fmpq_mat_minpoly()
    • fmpq_mat_minpoly()
• fmpq_poly.h – univariate polynomials over the rational numbers
  • Types, macros and constants
    • fmpq_poly_struct
    • fmpq_poly_t
  • Memory management
    • fmpq_poly_init()
    • fmpq_poly_init2()
    • fmpq_poly_realloc()
    • fmpq_poly_fit_length()
    • _fmpq_poly_set_length()
    • fmpq_poly_clear()
    • _fmpq_poly_normalise()
    • _fmpq_poly_canonicalise()
    • fmpq_poly_canonicalise()
    • _fmpq_poly_is_canonical()
    • fmpq_poly_is_canonical()
  • Polynomial parameters
    • fmpq_poly_degree()
    • fmpq_poly_length()
  • Accessing the numerator and denominator
    • fmpq_poly_numref()
    • fmpq_poly_denref()
    • fmpq_poly_get_numerator()
    • fmpq_poly_get_denominator()
  • Random testing
    • fmpq_poly_randtest()
    • fmpq_poly_randtest_unsigned()
    • fmpq_poly_randtest_not_zero()
  • Assignment, swap, negation
    • fmpq_poly_set()
    • fmpq_poly_set_si()
    • fmpq_poly_set_ui()
    • fmpq_poly_set_fmpz()
    • fmpq_poly_set_fmpq()
    • fmpq_poly_set_fmpz_poly()
    • fmpq_poly_set_nmod_poly()
    • fmpq_poly_get_nmod_poly()
    • fmpq_poly_get_nmod_poly_den()
    • _fmpq_poly_set_str()
    • fmpq_poly_set_str()
    • fmpq_poly_get_str()
    • fmpq_poly_get_str_pretty()
    • fmpq_poly_zero()
    • fmpq_poly_one()
    • fmpq_poly_neg()
    • fmpq_poly_inv()
    • fmpq_poly_swap()
    • fmpq_poly_truncate()
    • fmpq_poly_set_trunc()
    • fmpq_poly_get_slice()
    • fmpq_poly_reverse()
  • Getting and setting coefficients
    • fmpq_poly_get_coeff_fmpz()
    • fmpq_poly_get_coeff_fmpq()
    • fmpq_poly_set_coeff_si()
    • fmpq_poly_set_coeff_ui()
    • fmpq_poly_set_coeff_fmpz()
    • fmpq_poly_set_coeff_fmpq()
  • Comparison
    • fmpq_poly_equal()
    • _fmpq_poly_equal_trunc()
    • fmpq_poly_equal_trunc()
    • _fmpq_poly_cmp()
    • fmpq_poly_cmp()
    • fmpq_poly_is_one()
    • fmpq_poly_is_zero()
    • fmpq_poly_is_gen()
  • Addition and subtraction
    • _fmpq_poly_add()
    • _fmpq_poly_add_can()
    • fmpq_poly_add()
    • fmpq_poly_add_can()
    • _fmpq_poly_add_series()
    • _fmpq_poly_add_series_can()
    • fmpq_poly_add_series()
    • fmpq_poly_add_series_can()
    • _fmpq_poly_sub()
    • _fmpq_poly_sub_can()
    • fmpq_poly_sub()
    • fmpq_poly_sub_can()
    • _fmpq_poly_sub_series()
    • _fmpq_poly_sub_series_can()
    • fmpq_poly_sub_series()
    • fmpq_poly_sub_series_can()
  • Scalar multiplication and division
    • _fmpq_poly_scalar_mul_si()
    • _fmpq_poly_scalar_mul_ui()
    • _fmpq_poly_scalar_mul_fmpz()
    • _fmpq_poly_scalar_mul_fmpq()
    • fmpq_poly_scalar_mul_fmpq()
    • fmpq_poly_scalar_mul_si()
    • fmpq_poly_scalar_mul_ui()
    • fmpq_poly_scalar_mul_fmpz()
    • _fmpq_poly_scalar_div_fmpz()
    • _fmpq_poly_scalar_div_si()
    • _fmpq_poly_scalar_div_ui()
    • _fmpq_poly_scalar_div_fmpq()
    • fmpq_poly_scalar_div_si()
    • fmpq_poly_scalar_div_ui()
    • fmpq_poly_scalar_div_fmpz()
    • fmpq_poly_scalar_div_fmpq()
  • Multiplication
    • _fmpq_poly_mul()
    • fmpq_poly_mul()
    • _fmpq_poly_mullow()
    • fmpq_poly_mullow()
    • fmpq_poly_addmul()
    • fmpq_poly_submul()
  • Powering
    • _fmpq_poly_pow()
    • fmpq_poly_pow()
    • _fmpq_poly_pow_trunc()
    • fmpq_poly_pow_trunc()
  • Shifting
    • fmpq_poly_shift_left()
    • fmpq_poly_shift_right()
  • Euclidean division
    • _fmpq_poly_divrem()
    • fmpq_poly_divrem()
    • _fmpq_poly_div()
    • fmpq_poly_div()
    • _fmpq_poly_rem()
    • fmpq_poly_rem()
  • Powering
    • _fmpq_poly_powers_precompute()
    • fmpq_poly_powers_precompute()
    • _fmpq_poly_powers_clear()
    • fmpq_poly_powers_clear()
    • _fmpq_poly_rem_powers_precomp()
    • fmpq_poly_rem_powers_precomp()
  • Divisibility testing
    • _fmpq_poly_divides()
    • fmpq_poly_divides()
    • fmpq_poly_remove()
  • Power series division
    • _fmpq_poly_inv_series_newton()
    • fmpq_poly_inv_series_newton()
    • _fmpq_poly_inv_series()
    • fmpq_poly_inv_series()
    • _fmpq_poly_div_series()
    • fmpq_poly_div_series()
  • Greatest common divisor
    • _fmpq_poly_gcd()
    • fmpq_poly_gcd()
    • _fmpq_poly_xgcd()
    • fmpq_poly_xgcd()
    • _fmpq_poly_lcm()
    • fmpq_poly_lcm()
    • _fmpq_poly_resultant()
    • fmpq_poly_resultant()
    • fmpq_poly_resultant_div()
  • Discriminant
    • _fmpq_poly_discriminant()
    • fmpq_poly_discriminant()
  • Derivative and integral
    • _fmpq_poly_derivative()
    • fmpq_poly_derivative()
    • _fmpq_poly_nth_derivative()
    • fmpq_poly_nth_derivative()
    • _fmpq_poly_integral()
    • fmpq_poly_integral()
  • Square roots
    • _fmpq_poly_sqrt_series()
    • fmpq_poly_sqrt_series()
    • _fmpq_poly_invsqrt_series()
    • fmpq_poly_invsqrt_series()
  • Power sums
    • _fmpq_poly_power_sums()
    • fmpq_poly_power_sums()
    • _fmpq_poly_power_sums_to_poly()
    • fmpq_poly_power_sums_to_fmpz_poly()
    • fmpq_poly_power_sums_to_poly()
  • Transcendental functions
    • _fmpq_poly_log_series()
    • fmpq_poly_log_series()
    • _fmpq_poly_exp_series()
    • fmpq_poly_exp_series()
    • _fmpq_poly_exp_expinv_series()
    • fmpq_poly_exp_expinv_series()
    • _fmpq_poly_atan_series()
    • fmpq_poly_atan_series()
    • _fmpq_poly_atanh_series()
    • fmpq_poly_atanh_series()
    • _fmpq_poly_asin_series()
    • fmpq_poly_asin_series()
    • _fmpq_poly_asinh_series()
    • fmpq_poly_asinh_series()
    • _fmpq_poly_tan_series()
    • fmpq_poly_tan_series()
    • _fmpq_poly_sin_series()
    • fmpq_poly_sin_series()
    • _fmpq_poly_cos_series()
    • fmpq_poly_cos_series()
    • _fmpq_poly_sin_cos_series()
    • fmpq_poly_sin_cos_series()
    • _fmpq_poly_sinh_series()
    • fmpq_poly_sinh_series()
    • _fmpq_poly_cosh_series()
    • fmpq_poly_cosh_series()
    • _fmpq_poly_sinh_cosh_series()
    • fmpq_poly_sinh_cosh_series()
    • _fmpq_poly_tanh_series()
    • fmpq_poly_tanh_series()
  • Orthogonal polynomials
    • _fmpq_poly_legendre_p()
    • fmpq_poly_legendre_p()
    • _fmpq_poly_laguerre_l()
    • fmpq_poly_laguerre_l()
    • _fmpq_poly_gegenbauer_c()
    • fmpq_poly_gegenbauer_c()
  • Evaluation
    • _fmpq_poly_evaluate_fmpz()
    • fmpq_poly_evaluate_fmpz()
    • _fmpq_poly_evaluate_fmpq()
    • fmpq_poly_evaluate_fmpq()
  • Interpolation
    • _fmpq_poly_interpolation_weights()
    • _fmpq_poly_interpolate_fast_precomp()
    • _fmpq_poly_interpolate_fast()
    • fmpq_poly_interpolate_fast()
    • _fmpq_poly_interpolate_barycentric()
    • fmpq_poly_interpolate_barycentric()
    • _fmpq_poly_interpolate_multi_mod()
    • fmpq_poly_interpolate_multi_mod()
    • _fmpq_poly_interpolate_fmpq_vec()
    • fmpq_poly_interpolate_fmpz_vec()
    • fmpq_poly_interpolate_fmpz_fmpq_vec()
    • fmpq_poly_interpolate_fmpq_vec()
  • Composition
    • _fmpq_poly_compose()
    • fmpq_poly_compose()
    • _fmpq_poly_rescale()
    • fmpq_poly_rescale()
  • Power series composition
    • _fmpq_poly_compose_series_horner()
    • fmpq_poly_compose_series_horner()
    • _fmpq_poly_compose_series_brent_kung()
    • fmpq_poly_compose_series_brent_kung()
    • _fmpq_poly_compose_series()
    • fmpq_poly_compose_series()
  • Power series reversion
    • _fmpq_poly_revert_series_lagrange()
    • fmpq_poly_revert_series_lagrange()
    • _fmpq_poly_revert_series_lagrange_fast()
    • fmpq_poly_revert_series_lagrange_fast()
    • _fmpq_poly_revert_series_newton()
    • fmpq_poly_revert_series_newton()
    • _fmpq_poly_revert_series()
    • fmpq_poly_revert_series()
  • Gaussian content
    • _fmpq_poly_content()
    • fmpq_poly_content()
    • _fmpq_poly_primitive_part()
    • fmpq_poly_primitive_part()
    • _fmpq_poly_is_monic()
    • fmpq_poly_is_monic()
    • _fmpq_poly_make_monic()
    • fmpq_poly_make_monic()
  • Square-free
    • fmpq_poly_is_squarefree()
  • Input and output
    • _fmpq_poly_print()
    • fmpq_poly_print()
    • _fmpq_poly_print_pretty()
    • fmpq_poly_print_pretty()
    • _fmpq_poly_fprint()
    • fmpq_poly_fprint()
    • _fmpq_poly_fprint_pretty()
    • fmpq_poly_fprint_pretty()
    • fmpq_poly_read()
    • fmpq_poly_fread()
• fmpq_mpoly_factor.h – factorisation of multivariate polynomials over the rational numbers
  • Types, macros and constants
    • fmpq_mpoly_factor_struct
    • fmpq_mpoly_factor_t
  • Memory management
    • fmpq_mpoly_factor_init()
    • fmpq_mpoly_factor_clear()
  • Basic manipulation
    • fmpq_mpoly_factor_length()
    • fmpq_mpoly_factor_get_constant_fmpq()
    • fmpq_mpoly_factor_get_base()
    • fmpq_mpoly_factor_swap_base()
    • fmpq_mpoly_factor_get_exp_si()
    • fmpq_mpoly_factor_sort()
    • fmpq_mpoly_factor_make_monic()
    • fmpq_mpoly_factor_make_integral()
  • Factorisation
    • fmpq_mpoly_factor_squarefree()
    • fmpq_mpoly_factor()
• fmpq_mpoly.h – multivariate polynomials over the rational numbers
  • Types, macros and constants
    • fmpq_mpoly_struct
    • fmpq_mpoly_t
    • fmpq_mpoly_ctx_struct
    • fmpq_mpoly_ctx_t
  • Context object
    • fmpq_mpoly_ctx_init()
    • fmpq_mpoly_ctx_nvars()
    • fmpq_mpoly_ctx_ord()
    • fmpq_mpoly_ctx_clear()
  • Memory management
    • fmpq_mpoly_init()
    • fmpq_mpoly_init2()
    • fmpq_mpoly_init3()
    • fmpq_mpoly_fit_length()
    • fmpq_mpoly_fit_bits()
    • fmpq_mpoly_realloc()
    • fmpq_mpoly_clear()
  • Input/Output
    • fmpq_mpoly_get_str_pretty()
    • fmpq_mpoly_fprint_pretty()
    • fmpq_mpoly_print_pretty()
    • fmpq_mpoly_set_str_pretty()
  • Basic manipulation
    • fmpq_mpoly_gen()
    • fmpq_mpoly_is_gen()
    • fmpq_mpoly_set()
    • fmpq_mpoly_equal()
    • fmpq_mpoly_swap()
  • Constants
    • fmpq_mpoly_is_fmpq()
    • fmpq_mpoly_get_fmpq()
    • fmpq_mpoly_set_fmpq()
    • fmpq_mpoly_set_fmpz()
    • fmpq_mpoly_set_ui()
    • fmpq_mpoly_set_si()
    • fmpq_mpoly_zero()
    • fmpq_mpoly_one()
    • fmpq_mpoly_equal_fmpq()
    • fmpq_mpoly_equal_fmpz()
    • fmpq_mpoly_equal_ui()
    • fmpq_mpoly_equal_si()
    • fmpq_mpoly_is_zero()
    • fmpq_mpoly_is_one()
  • Degrees
    • fmpq_mpoly_degrees_fit_si()
    • fmpq_mpoly_degrees_fmpz()
    • fmpq_mpoly_degrees_si()
    • fmpq_mpoly_degree_fmpz()
    • fmpq_mpoly_degree_si()
    • fmpq_mpoly_total_degree_fits_si()
    • fmpq_mpoly_total_degree_fmpz()
    • fmpq_mpoly_total_degree_si()
    • fmpq_mpoly_used_vars()
  • Coefficients
    • fmpq_mpoly_get_denominator()
    • fmpq_mpoly_get_coeff_fmpq_monomial()
    • fmpq_mpoly_set_coeff_fmpq_monomial()
    • fmpq_mpoly_get_coeff_fmpq_fmpz()
    • fmpq_mpoly_get_coeff_fmpq_ui()
    • fmpq_mpoly_set_coeff_fmpq_fmpz()
    • fmpq_mpoly_set_coeff_fmpq_ui()
    • fmpq_mpoly_get_coeff_vars_ui()
  • Comparison
    • fmpq_mpoly_cmp()
  • Container operations
    • fmpq_mpoly_content_ref()
    • fmpq_mpoly_zpoly_ref()
    • fmpq_mpoly_zpoly_term_coeff_ref()
    • fmpq_mpoly_is_canonical()
    • fmpq_mpoly_length()
    • fmpq_mpoly_resize()
    • fmpq_mpoly_get_term_coeff_fmpq()
    • fmpq_mpoly_set_term_coeff_fmpq()
    • fmpq_mpoly_term_exp_fits_si()
    • fmpq_mpoly_term_exp_fits_ui()
    • fmpq_mpoly_get_term_exp_fmpz()
    • fmpq_mpoly_get_term_exp_ui()
    • fmpq_mpoly_get_term_exp_si()
    • fmpq_mpoly_get_term_var_exp_ui()
    • fmpq_mpoly_get_term_var_exp_si()
    • fmpq_mpoly_set_term_exp_fmpz()
    • fmpq_mpoly_set_term_exp_ui()
    • fmpq_mpoly_get_term()
    • fmpq_mpoly_get_term_monomial()
    • fmpq_mpoly_push_term_fmpq_fmpz()
    • fmpq_mpoly_push_term_fmpq_ffmpz()
    • fmpq_mpoly_push_term_fmpz_fmpz()
    • fmpq_mpoly_push_term_fmpz_ffmpz()
    • fmpq_mpoly_push_term_ui_fmpz()
    • fmpq_mpoly_push_term_ui_ffmpz()
    • fmpq_mpoly_push_term_si_fmpz()
    • fmpq_mpoly_push_term_si_ffmpz()
    • fmpq_mpoly_push_term_fmpq_ui()
    • fmpq_mpoly_push_term_fmpz_ui()
    • fmpq_mpoly_push_term_ui_ui()
    • fmpq_mpoly_push_term_si_ui()
    • fmpq_mpoly_reduce()
    • fmpq_mpoly_sort_terms()
    • fmpq_mpoly_combine_like_terms()
    • fmpq_mpoly_reverse()
  • Random generation
    • fmpq_mpoly_randtest_bound()
    • fmpq_mpoly_randtest_bounds()
    • fmpq_mpoly_randtest_bits()
  • Addition/Subtraction
    • fmpq_mpoly_add_fmpq()
    • fmpq_mpoly_add_fmpz()
    • fmpq_mpoly_add_ui()
    • fmpq_mpoly_add_si()
    • fmpq_mpoly_sub_fmpq()
    • fmpq_mpoly_sub_fmpz()
    • fmpq_mpoly_sub_ui()
    • fmpq_mpoly_sub_si()
    • fmpq_mpoly_add()
    • fmpq_mpoly_sub()
  • Scalar operations
    • fmpq_mpoly_neg()
    • fmpq_mpoly_scalar_mul_fmpq()
    • fmpq_mpoly_scalar_mul_fmpz()
    • fmpq_mpoly_scalar_mul_ui()
    • fmpq_mpoly_scalar_mul_si()
    • fmpq_mpoly_scalar_div_fmpq()
    • fmpq_mpoly_scalar_div_fmpz()
    • fmpq_mpoly_scalar_div_ui()
    • fmpq_mpoly_scalar_div_si()
    • fmpq_mpoly_make_monic()
  • Differentiation/Integration
    • fmpq_mpoly_derivative()
    • fmpq_mpoly_integral()
  • Evaluation
    • fmpq_mpoly_evaluate_all_fmpq()
    • fmpq_mpoly_evaluate_one_fmpq()
    • fmpq_mpoly_compose_fmpq_poly()
    • fmpq_mpoly_compose_fmpq_mpoly()
    • fmpq_mpoly_compose_fmpq_mpoly_gen()
  • Multiplication
    • fmpq_mpoly_mul()
  • Powering
    • fmpq_mpoly_pow_fmpz()
    • fmpq_mpoly_pow_ui()
  • Division
    • fmpq_mpoly_divides()
    • fmpq_mpoly_div()
    • fmpq_mpoly_divrem()
    • fmpq_mpoly_divrem_ideal()
  • Greatest Common Divisor
    • fmpq_mpoly_content()
    • fmpq_mpoly_term_content()
    • fmpq_mpoly_content_vars()
    • fmpq_mpoly_gcd()
    • fmpq_mpoly_gcd_cofactors()
    • fmpq_mpoly_gcd_brown()
    • fmpq_mpoly_gcd_hensel()
    • fmpq_mpoly_gcd_subresultant()
    • fmpq_mpoly_gcd_zippel()
    • fmpq_mpoly_gcd_zippel2()
    • fmpq_mpoly_resultant()
    • fmpq_mpoly_discriminant()
  • Square Root
    • fmpq_mpoly_sqrt()
    • fmpq_mpoly_is_square()
  • Univariate Functions
    • fmpq_mpoly_univar_init()
    • fmpq_mpoly_univar_clear()
    • fmpq_mpoly_univar_swap()
    • fmpq_mpoly_to_univar()
    • fmpq_mpoly_from_univar()
    • fmpq_mpoly_univar_degree_fits_si()
    • fmpq_mpoly_univar_length()
    • fmpq_mpoly_univar_get_term_exp_si()
    • fmpq_mpoly_univar_get_term_coeff()
    • fmpq_mpoly_univar_swap_term_coeff()
• fmpz_poly_q.h – rational functions over the rational numbers
  • Simple example
  • Types, macros and constants
    • fmpz_poly_q_struct
    • fmpz_poly_q_t
  • Memory management
    • fmpz_poly_q_init()
    • fmpz_poly_q_clear()
    • fmpz_poly_q_numref()
    • fmpz_poly_q_denref()
    • fmpz_poly_q_canonicalise()
    • fmpz_poly_q_is_canonical()
  • Randomisation
    • fmpz_poly_q_randtest()
    • fmpz_poly_q_randtest_not_zero()
  • Assignment
    • fmpz_poly_q_set()
    • fmpz_poly_q_set_si()
    • fmpz_poly_q_swap()
    • fmpz_poly_q_zero()
    • fmpz_poly_q_one()
    • fmpz_poly_q_neg()
    • fmpz_poly_q_inv()
  • Comparison
    • fmpz_poly_q_is_zero()
    • fmpz_poly_q_is_one()
    • fmpz_poly_q_equal()
  • Addition and subtraction
    • fmpz_poly_q_add()
    • fmpz_poly_q_sub()
    • fmpz_poly_q_addmul()
    • fmpz_poly_q_submul()
  • Scalar multiplication and division
    • fmpz_poly_q_scalar_mul_si()
    • fmpz_poly_q_scalar_mul_fmpz()
    • fmpz_poly_q_scalar_mul_fmpq()
    • fmpz_poly_q_scalar_div_si()
    • fmpz_poly_q_scalar_div_fmpz()
    • fmpz_poly_q_scalar_div_fmpq()
  • Multiplication and division
    • fmpz_poly_q_mul()
    • fmpz_poly_q_div()
  • Powering
    • fmpz_poly_q_pow()
  • Derivative
    • fmpz_poly_q_derivative()
  • Evaluation
    • fmpz_poly_q_evaluate_fmpq()
  • Input and output
    • fmpz_poly_q_set_str()
    • fmpz_poly_q_get_str()
    • fmpz_poly_q_get_str_pretty()
    • fmpz_poly_q_print()
    • fmpz_poly_q_print_pretty()