{-| module : Data.Number.Flint.Fmpq.MPoly.FFI copyright : (c) 2022 Hartmut Monien license : GNU GPL, version 2 or above (see LICENSE) maintainer : hmonien@uni-bonn.de -} module Data.Number.Flint.Fmpq.MPoly.FFI ( -- * Multivariate polynomials over the rational numbers FmpqMPoly (..) , CFmpqMPoly (..) , newFmpqMPoly , withFmpqMPoly -- * Context object , FmpqMPolyCtx (..) , CFmpqMPolyCtx (..) , newFmpqMPolyCtx , withFmpqMPolyCtx -- * , 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_fmpz_fmpz , fmpq_mpoly_push_term_ui_fmpz , fmpq_mpoly_push_term_si_fmpz , 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 ) where -- Multivariate polynomials over the rational numbers -------------------------- import Foreign.Ptr import Foreign.ForeignPtr import Foreign.C.Types import Foreign.C.String import Foreign.Storable import Foreign.Marshal.Array ( advancePtr ) import Data.Number.Flint.Flint import Data.Number.Flint.MPoly import Data.Number.Flint.Fmpz import Data.Number.Flint.Fmpz.Poly import Data.Number.Flint.Fmpz.MPoly import Data.Number.Flint.Fmpz.MPoly.Q import Data.Number.Flint.Fmpq import Data.Number.Flint.Fmpq.Poly #include #include #include #include -- fmpq_mpoly_t ---------------------------------------------------------------- data FmpqMPoly = FmpqMPoly {-# UNPACK #-} !(ForeignPtr CFmpqMPoly) data CFmpqMPoly = CFmpqMPoly (Ptr CFmpq) CFmpzMPoly instance Storable CFmpqMPoly where sizeOf _ = #{size fmpq_mpoly_t} alignment _ = #{alignment fmpq_mpoly_t} peek ptr = CFmpqMPoly <$> #{peek fmpq_mpoly_struct, content} ptr <*> #{peek fmpq_mpoly_struct, zpoly } ptr poke ptr (CFmpqMPoly content zpoly) = do #{poke fmpq_mpoly_struct, content} ptr content #{poke fmpq_mpoly_struct, zpoly } ptr zpoly newFmpqMPoly ctx@(FmpqMPolyCtx pctx) = do x <- mallocForeignPtr withForeignPtr x $ \x -> do withFmpqMPolyCtx ctx $ \ctx -> do fmpq_mpoly_init x ctx addForeignPtrFinalizerEnv p_fmpq_mpoly_clear x pctx return $ FmpqMPoly x withFmpqMPoly (FmpqMPoly x) f = do withForeignPtr x $ \xp -> (FmpqMPoly x,) <$> f xp -- fmpq_mpoly_univar_t --------------------------------------------------------- data FmpqMPolyUniVar = FmpqMPolyUniVar {-# UNPACK #-} !(ForeignPtr CFmpqMPolyUniVar) data CFmpqMPolyUniVar = CFmpqMPolyUniVar instance Storable CFmpqMPolyUniVar where {-# INLINE sizeOf #-} sizeOf _ = #{size fmpq_mpoly_univar_t} {-# INLINE alignment #-} alignment _ = #{alignment fmpq_mpoly_univar_t} peek = error "CFmpqMPolyUniVar.peek: Not defined" poke = error "CFmpqMPolyUniVar.poke: Not defined" -- | Create a new `FmpqMPolyUniVar` newFmpqMPolyUniVar ctx@(FmpqMPolyCtx pctx) = do p <- mallocForeignPtr withForeignPtr p $ \p -> withFmpqMPolyCtx ctx $ \ctx -> do fmpq_mpoly_univar_init p ctx addForeignPtrFinalizerEnv p_fmpq_mpoly_univar_clear p pctx return $ FmpqMPolyUniVar p {-# INLINE withFmpqMPolyUniVar #-} withFmpqMPolyUniVar (FmpqMPolyUniVar p) f = do withForeignPtr p $ \fp -> (FmpqMPolyUniVar p,) <$> f fp -- fmpz_mpoly_ctx_t ------------------------------------------------------------ data FmpqMPolyCtx = FmpqMPolyCtx {-# UNPACK #-} !(ForeignPtr CFmpqMPolyCtx) data CFmpqMPolyCtx instance Storable CFmpqMPolyCtx where {-# INLINE sizeOf #-} sizeOf _ = #{size fmpq_mpoly_ctx_t} {-# INLINE alignment #-} alignment _ = #{alignment fmpq_mpoly_ctx_t} peek = error "CFmpqMPolyCtx.peek: Not defined" poke = error "CFmpqMPolyCtx.poke: Not defined" -- | Create a new `FmpqMPolyCtx` newFmpqMPolyCtx nvars ord = do p <- mallocForeignPtr withForeignPtr p $ \p -> fmpq_mpoly_ctx_init p nvars ord addForeignPtrFinalizer p_fmpq_mpoly_ctx_clear p return $ FmpqMPolyCtx p -- | Use a `FmpqMPolyCtx` {-# INLINE withFmpqMPolyCtx #-} withFmpqMPolyCtx (FmpqMPolyCtx p) f = do withForeignPtr p $ \fp -> f fp >>= return . (FmpqMPolyCtx p,) -- Context object -------------------------------------------------------------- -- | /fmpq_mpoly_ctx_init/ /ctx/ /nvars/ /ord/ -- -- Initialise a context object for a polynomial ring with the given number -- of variables and the given ordering. The possibilities for the ordering -- are @ORD_LEX@, @ORD_DEGLEX@ and @ORD_DEGREVLEX@. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_ctx_init" fmpq_mpoly_ctx_init :: Ptr CFmpqMPolyCtx -> CLong -> Ptr COrdering -> IO () -- | /fmpq_mpoly_ctx_nvars/ /ctx/ -- -- Return the number of variables used to initialize the context. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_ctx_nvars" fmpq_mpoly_ctx_nvars :: Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_ctx_ord/ /ctx/ -- -- Return the ordering used to initialize the context. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_ctx_ord" fmpq_mpoly_ctx_ord :: Ptr CFmpqMPolyCtx -> IO (Ptr COrdering) -- | /fmpq_mpoly_ctx_clear/ /ctx/ -- -- Release up any space allocated by /ctx/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_ctx_clear" fmpq_mpoly_ctx_clear :: Ptr CFmpqMPolyCtx -> IO () foreign import ccall "fmpq_mpoly.h &fmpq_mpoly_ctx_clear" p_fmpq_mpoly_ctx_clear :: FunPtr (Ptr CFmpqMPolyCtx -> IO ()) -- Memory management ----------------------------------------------------------- -- | /fmpq_mpoly_init/ /A/ /ctx/ -- -- Initialise /A/ for use with the given and initialised context object. -- Its value is set to zero. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_init" fmpq_mpoly_init :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_init2/ /A/ /alloc/ /ctx/ -- -- Initialise /A/ for use with the given and initialised context object. -- Its value is set to zero. It is allocated with space for /alloc/ terms -- and at least @MPOLY_MIN_BITS@ bits for the exponents. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_init2" fmpq_mpoly_init2 :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_init3/ /A/ /alloc/ /bits/ /ctx/ -- -- Initialise /A/ for use with the given and initialised context object. -- Its value is set to zero. It is allocated with space for /alloc/ terms -- and /bits/ bits for the exponents. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_init3" fmpq_mpoly_init3 :: Ptr CFmpqMPoly -> CLong -> CFBitCnt -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_fit_length/ /A/ /len/ /ctx/ -- -- Ensure that /A/ has space for at least /len/ terms. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_fit_length" fmpq_mpoly_fit_length :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_fit_bits/ /A/ /bits/ /ctx/ -- -- Ensure that the exponent fields of /A/ have at least /bits/ bits. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_fit_bits" fmpq_mpoly_fit_bits :: Ptr CFmpqMPoly -> CFBitCnt -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_realloc/ /A/ /alloc/ /ctx/ -- -- Reallocate /A/ to have space for /alloc/ terms. Assumes the current -- length of the polynomial is not greater than /alloc/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_realloc" fmpq_mpoly_realloc :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_clear/ /A/ /ctx/ -- -- Release any space allocated for /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_clear" fmpq_mpoly_clear :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () foreign import ccall "fmpq_mpoly.h &fmpq_mpoly_clear" p_fmpq_mpoly_clear :: FunPtr (Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO ()) -- Input\/Output --------------------------------------------------------------- -- | /fmpq_mpoly_get_str_pretty/ /A/ /x/ /ctx/ -- -- Return a string, which the user is responsible for cleaning up, -- representing /A/, given an array of variable strings @x@. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_str_pretty" fmpq_mpoly_get_str_pretty :: Ptr CFmpqMPoly -> Ptr (Ptr CChar) -> Ptr CFmpqMPolyCtx -> IO CString -- | /fmpq_mpoly_fprint_pretty/ /file/ /A/ /x/ /ctx/ -- -- Print a string representing /A/ to /file/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_fprint_pretty" fmpq_mpoly_fprint_pretty :: Ptr CFile -> Ptr CFmpqMPoly -> Ptr (Ptr CChar) -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_print_pretty/ /A/ /x/ /ctx/ -- -- Print a string representing /A/ to @stdout@. -- foreign import ccall "fmpq_mpoly.h fmpq_mpoly_print_pretty" fmpq_mpoly_print_pretty :: Ptr CFmpqMPoly -> Ptr (Ptr CChar) -> Ptr CFmpqMPolyCtx -> IO CInt fmpq_mpoly_print_pretty a x ctx = printCStr (\a -> fmpq_mpoly_get_str_pretty a x ctx) a -- | /fmpq_mpoly_set_str_pretty/ /A/ /str/ /x/ /ctx/ -- -- Set /A/ to the polynomial in the null-terminates string @str@ given an -- array @x@ of variable strings. If parsing @str@ fails, /A/ is set to -- zero, and \(-1\) is returned. Otherwise, \(0\) is returned. The -- operations @+@, @-@, @*@, and @\/@ are permitted along with integers and -- the variables in @x@. The character @^@ must be immediately followed by -- the (integer) exponent. If any division is not exact, parsing fails. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_str_pretty" fmpq_mpoly_set_str_pretty :: Ptr CFmpqMPoly -> CString -> Ptr (Ptr CChar) -> Ptr CFmpqMPolyCtx -> IO CInt -- Basic manipulation ---------------------------------------------------------- -- | /fmpq_mpoly_gen/ /A/ /var/ /ctx/ -- -- Set /A/ to the variable of index /var/, where @var = 0@ corresponds to -- the variable with the most significance with respect to the ordering. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gen" fmpq_mpoly_gen :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_is_gen/ /A/ /var/ /ctx/ -- -- If \(var \ge 0\), return \(1\) if /A/ is equal to the \(var\)-th -- generator, otherwise return \(0\). If \(var < 0\), return \(1\) if the -- polynomial is equal to any generator, otherwise return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_gen" fmpq_mpoly_is_gen :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_set/ /A/ /B/ /ctx/ -- -- Set /A/ to /B/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set" fmpq_mpoly_set :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_equal/ /A/ /B/ /ctx/ -- -- Return \(1\) if /A/ is equal to /B/, else return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_equal" fmpq_mpoly_equal :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_swap/ /A/ /B/ /ctx/ -- -- Efficiently swap /A/ and /B/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_swap" fmpq_mpoly_swap :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Constants ------------------------------------------------------------------- -- | /fmpq_mpoly_is_fmpq/ /A/ /ctx/ -- -- Return \(1\) if /A/ is a constant, else return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_fmpq" fmpq_mpoly_is_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_get_fmpq/ /c/ /A/ /ctx/ -- -- Assuming that /A/ is a constant, set /c/ to this constant. This function -- throws if /A/ is not a constant. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_fmpq" fmpq_mpoly_get_fmpq :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_fmpq/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_fmpq" fmpq_mpoly_set_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_fmpz/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_fmpz" fmpq_mpoly_set_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_ui/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_ui" fmpq_mpoly_set_ui :: Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_si/ /A/ /c/ /ctx/ -- -- Set /A/ to the constant /c/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_si" fmpq_mpoly_set_si :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_zero/ /A/ /ctx/ -- -- Set /A/ to the constant \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_zero" fmpq_mpoly_zero :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_one/ /A/ /ctx/ -- -- Set /A/ to the constant \(1\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_one" fmpq_mpoly_one :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_equal_fmpq/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_equal_fmpq" fmpq_mpoly_equal_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_equal_fmpz/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_equal_fmpz" fmpq_mpoly_equal_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_equal_ui/ /A/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_equal_ui" fmpq_mpoly_equal_ui :: Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_equal_si/ /A/ /c/ /ctx/ -- -- Return \(1\) if /A/ is equal to the constant /c/, else return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_equal_si" fmpq_mpoly_equal_si :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_is_zero/ /A/ /ctx/ -- -- Return \(1\) if /A/ is equal to the constant \(0\), else return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_zero" fmpq_mpoly_is_zero :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_is_one/ /A/ /ctx/ -- -- Return \(1\) if /A/ is equal to the constant \(1\), else return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_one" fmpq_mpoly_is_one :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- Degrees --------------------------------------------------------------------- -- | /fmpq_mpoly_degrees_fit_si/ /A/ /ctx/ -- -- Return \(1\) if the degrees of /A/ with respect to each variable fit -- into an @slong@, otherwise return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_degrees_fit_si" fmpq_mpoly_degrees_fit_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_degrees_fmpz/ /degs/ /A/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_degrees_fmpz" fmpq_mpoly_degrees_fmpz :: Ptr (Ptr CFmpz) -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_degrees_si/ /degs/ /A/ /ctx/ -- -- Set /degs/ to the degrees of /A/ with respect to each variable. If /A/ -- is zero, all degrees are set to \(-1\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_degrees_si" fmpq_mpoly_degrees_si :: Ptr CLong -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_degree_fmpz/ /deg/ /A/ /var/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_degree_fmpz" fmpq_mpoly_degree_fmpz :: Ptr CFmpz -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_degree_si/ /A/ /var/ /ctx/ -- -- Either return or set /deg/ to the degree of /A/ with respect to the -- variable of index /var/. If /A/ is zero, the degree is defined to be -- \(-1\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_degree_si" fmpq_mpoly_degree_si :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_total_degree_fits_si/ /A/ /ctx/ -- -- Return \(1\) if the total degree of /A/ fits into an @slong@, otherwise -- return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_total_degree_fits_si" fmpq_mpoly_total_degree_fits_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_total_degree_fmpz/ /tdeg/ /A/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_total_degree_fmpz" fmpq_mpoly_total_degree_fmpz :: Ptr CFmpz -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_total_degree_si/ /A/ /ctx/ -- -- Either return or set /tdeg/ to the total degree of /A/. If /A/ is zero, -- the total degree is defined to be \(-1\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_total_degree_si" fmpq_mpoly_total_degree_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_used_vars/ /used/ /A/ /ctx/ -- -- For each variable index /i/, set @used[i]@ to nonzero if the variable of -- index /i/ appears in /A/ and to zero otherwise. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_used_vars" fmpq_mpoly_used_vars :: Ptr CInt -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Coefficients ---------------------------------------------------------------- -- | /fmpq_mpoly_get_denominator/ /d/ /A/ /ctx/ -- -- Set /d/ to the denominator of /A/, the smallest positive integer \(d\) -- such that \(d \times A\) has integer coefficients. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_denominator" fmpq_mpoly_get_denominator :: Ptr CFmpz -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_coeff_fmpq_monomial/ /c/ /A/ /M/ /ctx/ -- -- Assuming that /M/ is a monomial, set /c/ to the coefficient of the -- corresponding monomial in /A/. This function throws if /M/ is not a -- monomial. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_coeff_fmpq_monomial" fmpq_mpoly_get_coeff_fmpq_monomial :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_coeff_fmpq_monomial/ /A/ /c/ /M/ /ctx/ -- -- Assuming that /M/ is a monomial, set the coefficient of the -- corresponding monomial in /A/ to /c/. This function throws if /M/ is not -- a monomial. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_coeff_fmpq_monomial" fmpq_mpoly_set_coeff_fmpq_monomial :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_coeff_fmpq_fmpz/ /c/ /A/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_coeff_fmpq_fmpz" fmpq_mpoly_get_coeff_fmpq_fmpz :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_coeff_fmpq_ui/ /c/ /A/ /exp/ /ctx/ -- -- Set /c/ to the coefficient of the monomial with exponent /exp/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_coeff_fmpq_ui" fmpq_mpoly_get_coeff_fmpq_ui :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_coeff_fmpq_fmpz/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_coeff_fmpq_fmpz" fmpq_mpoly_set_coeff_fmpq_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_coeff_fmpq_ui/ /A/ /c/ /exp/ /ctx/ -- -- Set the coefficient of the monomial with exponent /exp/ to /c/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_coeff_fmpq_ui" fmpq_mpoly_set_coeff_fmpq_ui :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_coeff_vars_ui/ /C/ /A/ /vars/ /exps/ /length/ /ctx/ -- -- Set /C/ to the coefficient of /A/ with respect to the variables in -- /vars/ with powers in the corresponding array /exps/. Both /vars/ and -- /exps/ point to array of length /length/. It is assumed that -- \(0 < length \le nvars(A)\) and that the variables in /vars/ are -- distinct. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_coeff_vars_ui" fmpq_mpoly_get_coeff_vars_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CLong -> Ptr CULong -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- Comparison ------------------------------------------------------------------ -- | /fmpq_mpoly_cmp/ /A/ /B/ /ctx/ -- -- Return \(1\) (resp. \(-1\), or \(0\)) if /A/ is after (resp. before, -- same as) /B/ in some arbitrary but fixed total ordering of the -- polynomials. This ordering agrees with the usual ordering of monomials -- when /A/ and /B/ are both monomials. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_cmp" fmpq_mpoly_cmp :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- Container operations -------------------------------------------------------- -- | /fmpq_mpoly_content_ref/ /A/ /ctx/ -- -- Return a reference to the content of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_content_ref" fmpq_mpoly_content_ref :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO (Ptr CFmpq) -- | /fmpq_mpoly_zpoly_ref/ /A/ /ctx/ -- -- Return a reference to the integer polynomial of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_zpoly_ref" fmpq_mpoly_zpoly_ref :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO (Ptr (Ptr CFmpzMPoly)) -- | /fmpq_mpoly_zpoly_term_coeff_ref/ /A/ /i/ /ctx/ -- -- Return a reference to the coefficient of index /i/ of the integer -- polynomial of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_zpoly_term_coeff_ref" fmpq_mpoly_zpoly_term_coeff_ref :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO (Ptr CFmpz) -- | /fmpq_mpoly_is_canonical/ /A/ /ctx/ -- -- Return \(1\) if /A/ is in canonical form. Otherwise, return \(0\). An -- @fmpq_mpoly_t@ is represented as the product of an @fmpq_t content@ and -- an @fmpz_mpoly_t zpoly@. The representation is considered canonical when -- either (1) both @content@ and @zpoly@ are zero, or (2) both @content@ -- and @zpoly@ are nonzero and canonical and @zpoly@ is reduced. A nonzero -- @zpoly@ is considered reduced when the coefficients have GCD one and the -- leading coefficient is positive. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_canonical" fmpq_mpoly_is_canonical :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_length/ /A/ /ctx/ -- -- Return the number of terms stored in /A/. If the polynomial is in -- canonical form, this will be the number of nonzero coefficients. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_length" fmpq_mpoly_length :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_resize/ /A/ /new_length/ /ctx/ -- -- Set the length of /A/ to @new_length@. Terms are either deleted from the -- end, or new zero terms are appended. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_resize" fmpq_mpoly_resize :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term_coeff_fmpq/ /c/ /A/ /i/ /ctx/ -- -- Set /c/ to coefficient of index /i/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_coeff_fmpq" fmpq_mpoly_get_term_coeff_fmpq :: Ptr CFmpq -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_term_coeff_fmpq/ /A/ /i/ /c/ /ctx/ -- -- Set the coefficient of index /i/ to /c/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_term_coeff_fmpq" fmpq_mpoly_set_term_coeff_fmpq :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_term_exp_fits_si/ /A/ /i/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_term_exp_fits_si" fmpq_mpoly_term_exp_fits_si :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_term_exp_fits_ui/ /A/ /i/ /ctx/ -- -- Return \(1\) if all entries of the exponent vector of the term of index -- /i/ fit into an @slong@ (resp. a @ulong@). Otherwise, return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_term_exp_fits_ui" fmpq_mpoly_term_exp_fits_ui :: Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_get_term_exp_fmpz/ /exps/ /A/ /i/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_exp_fmpz" fmpq_mpoly_get_term_exp_fmpz :: Ptr (Ptr CFmpz) -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term_exp_ui/ /exps/ /A/ /i/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_exp_ui" fmpq_mpoly_get_term_exp_ui :: Ptr CULong -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term_exp_si/ /exps/ /A/ /i/ /ctx/ -- -- Set /exp/ to the exponent vector of the term of index /i/. The @_ui@ -- (resp. @_si@) version throws if any entry does not fit into a @ulong@ -- (resp. @slong@). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_exp_si" fmpq_mpoly_get_term_exp_si :: Ptr CLong -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term_var_exp_ui/ /A/ /i/ /var/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_var_exp_ui" fmpq_mpoly_get_term_var_exp_ui :: Ptr CFmpqMPoly -> CLong -> CLong -> Ptr CFmpqMPolyCtx -> IO CULong -- | /fmpq_mpoly_get_term_var_exp_si/ /A/ /i/ /var/ /ctx/ -- -- Return the exponent of the variable /var/ of the term of index /i/. This -- function throws if the exponent does not fit into a @ulong@ (resp. -- @slong@). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_var_exp_si" fmpq_mpoly_get_term_var_exp_si :: Ptr CFmpqMPoly -> CLong -> CLong -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_set_term_exp_fmpz/ /A/ /i/ /exps/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_term_exp_fmpz" fmpq_mpoly_set_term_exp_fmpz :: Ptr CFmpqMPoly -> CLong -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_set_term_exp_ui/ /A/ /i/ /exps/ /ctx/ -- -- Set the exponent vector of the term of index /i/ to /exp/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_set_term_exp_ui" fmpq_mpoly_set_term_exp_ui :: Ptr CFmpqMPoly -> CLong -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term/ /M/ /A/ /i/ /ctx/ -- -- Set /M/ to the term of index /i/ in /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term" fmpq_mpoly_get_term :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_get_term_monomial/ /M/ /A/ /i/ /ctx/ -- -- Set /M/ to the monomial of the term of index /i/ in /A/. The coefficient -- of /M/ will be one. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_get_term_monomial" fmpq_mpoly_get_term_monomial :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_fmpq_fmpz/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_fmpq_fmpz" fmpq_mpoly_push_term_fmpq_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_fmpz_fmpz/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_fmpz_fmpz" fmpq_mpoly_push_term_fmpz_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_ui_fmpz/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_ui_fmpz" fmpq_mpoly_push_term_ui_fmpz :: Ptr CFmpqMPoly -> CULong -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_si_fmpz/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_si_fmpz" fmpq_mpoly_push_term_si_fmpz :: Ptr CFmpqMPoly -> CLong -> Ptr (Ptr CFmpz) -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_fmpq_ui/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_fmpq_ui" fmpq_mpoly_push_term_fmpq_ui :: Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_fmpz_ui/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_fmpz_ui" fmpq_mpoly_push_term_fmpz_ui :: Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_ui_ui/ /A/ /c/ /exp/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_ui_ui" fmpq_mpoly_push_term_ui_ui :: Ptr CFmpqMPoly -> CULong -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_push_term_si_ui/ /A/ /c/ /exp/ /ctx/ -- -- Append a term to /A/ with coefficient /c/ and exponent vector /exp/. -- This function should run in constant average time if the terms pushed -- have bounded denominator. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_push_term_si_ui" fmpq_mpoly_push_term_si_ui :: Ptr CFmpqMPoly -> CLong -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_reduce/ /A/ /ctx/ -- -- Factor out necessary content from @A->zpoly@ so that it is reduced. If -- the terms of /A/ were nonzero and sorted with distinct exponents to -- begin with, the result will be in canonical form. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_reduce" fmpq_mpoly_reduce :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sort_terms/ /A/ /ctx/ -- -- Sort the internal @A->zpoly@ into the canonical ordering dictated by the -- ordering in /ctx/. This function does not combine like terms, nor does -- it delete terms with coefficient zero, nor does it reduce. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sort_terms" fmpq_mpoly_sort_terms :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_combine_like_terms/ /A/ /ctx/ -- -- Combine adjacent like terms in the internal @A->zpoly@ and then factor -- out content via a call to @fmpq_mpoly_reduce@. If the terms of /A/ were -- sorted to begin with, the result will be in canonical form. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_combine_like_terms" fmpq_mpoly_combine_like_terms :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- -- | /fmpq_mpoly_reverse/ /A/ /B/ /ctx/ -- -- -- -- Set /A/ to the reversal of /B/. -- foreign import ccall "fmpq_mpoly.h fmpq_mpoly_reverse" -- fmpq_mpoly_reverse :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Random generation ----------------------------------------------------------- -- | /fmpq_mpoly_randtest_bound/ /A/ /state/ /length/ /coeff_bits/ /exp_bound/ /ctx/ -- -- Generate a random polynomial with length up to /length/ and exponents in -- the range @[0, exp_bound - 1]@. The exponents of each variable are -- generated by calls to @n_randint(state, exp_bound)@. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_randtest_bound" fmpq_mpoly_randtest_bound :: Ptr CFmpqMPoly -> Ptr CFRandState -> CLong -> CMpLimb -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_randtest_bounds/ /A/ /state/ /length/ /coeff_bits/ /exp_bounds/ /ctx/ -- -- Generate a random polynomial with length up to /length/ and exponents in -- the range @[0, exp_bounds[i] - 1]@. The exponents of the variable of -- index /i/ are generated by calls to @n_randint(state, exp_bounds[i])@. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_randtest_bounds" fmpq_mpoly_randtest_bounds :: Ptr CFmpqMPoly -> Ptr CFRandState -> CLong -> CMpLimb -> Ptr CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_randtest_bits/ /A/ /state/ /length/ /coeff_bits/ /exp_bits/ /ctx/ -- -- Generate a random polynomial with length up to /length/ and exponents -- whose packed form does not exceed the given bit count. -- -- The parameter @coeff_bits@ to the three functions -- @fmpq_mpoly_randtest_{bound|bounds|bits}@ is merely a suggestion for the -- approximate bit count of the resulting coefficients. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_randtest_bits" fmpq_mpoly_randtest_bits :: Ptr CFmpqMPoly -> Ptr CFRandState -> CLong -> CMpLimb -> CMpLimb -> Ptr CFmpqMPolyCtx -> IO () -- Addition\/Subtraction ------------------------------------------------------- -- | /fmpq_mpoly_add_fmpq/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_add_fmpq" fmpq_mpoly_add_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_add_fmpz/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_add_fmpz" fmpq_mpoly_add_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_add_ui/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_add_ui" fmpq_mpoly_add_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_add_si/ /A/ /B/ /c/ /ctx/ -- -- Set /A/ to \(B + c\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_add_si" fmpq_mpoly_add_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sub_fmpq/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sub_fmpq" fmpq_mpoly_sub_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sub_fmpz/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sub_fmpz" fmpq_mpoly_sub_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sub_ui/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sub_ui" fmpq_mpoly_sub_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sub_si/ /A/ /B/ /c/ /ctx/ -- -- Set /A/ to \(B - c\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sub_si" fmpq_mpoly_sub_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_add/ /A/ /B/ /C/ /ctx/ -- -- Set /A/ to \(B + C\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_add" fmpq_mpoly_add :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_sub/ /A/ /B/ /C/ /ctx/ -- -- Set /A/ to \(B - C\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sub" fmpq_mpoly_sub :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Scalar operations ----------------------------------------------------------- -- | /fmpq_mpoly_neg/ /A/ /B/ /ctx/ -- -- Set /A/ to \(-B\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_neg" fmpq_mpoly_neg :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_mul_fmpq/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_mul_fmpq" fmpq_mpoly_scalar_mul_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_mul_fmpz/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_mul_fmpz" fmpq_mpoly_scalar_mul_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_mul_ui/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_mul_ui" fmpq_mpoly_scalar_mul_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_mul_si/ /A/ /B/ /c/ /ctx/ -- -- Set /A/ to \(B \times c\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_mul_si" fmpq_mpoly_scalar_mul_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_div_fmpq/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_div_fmpq" fmpq_mpoly_scalar_div_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_div_fmpz/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_div_fmpz" fmpq_mpoly_scalar_div_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_div_ui/ /A/ /B/ /c/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_div_ui" fmpq_mpoly_scalar_div_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_scalar_div_si/ /A/ /B/ /c/ /ctx/ -- -- Set /A/ to \(B/c\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_scalar_div_si" fmpq_mpoly_scalar_div_si :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_make_monic/ /A/ /B/ /ctx/ -- -- Set /A/ to /B/ divided by the leading coefficient of /B/. This throws if -- /B/ is zero. -- -- All of these functions run quickly if /A/ and /B/ are aliased. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_make_monic" fmpq_mpoly_make_monic :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Differentiation\/Integration ------------------------------------------------ -- | /fmpq_mpoly_derivative/ /A/ /B/ /var/ /ctx/ -- -- Set /A/ to the derivative of /B/ with respect to the variable of index -- /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_derivative" fmpq_mpoly_derivative :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_integral/ /A/ /B/ /var/ /ctx/ -- -- Set /A/ to the integral with the fewest number of terms of /B/ with -- respect to the variable of index /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_integral" fmpq_mpoly_integral :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- Evaluation ------------------------------------------------------------------ -- | /fmpq_mpoly_evaluate_all_fmpq/ /ev/ /A/ /vals/ /ctx/ -- -- Set @ev@ to the evaluation of /A/ where the variables are replaced by -- the corresponding elements of the array @vals@. Return \(1\) for success -- and \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_evaluate_all_fmpq" fmpq_mpoly_evaluate_all_fmpq :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr (Ptr CFmpq) -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_evaluate_one_fmpq/ /A/ /B/ /var/ /val/ /ctx/ -- -- Set /A/ to the evaluation of /B/ where the variable of index /var/ is -- replaced by @val@. Return \(1\) for success and \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_evaluate_one_fmpq" fmpq_mpoly_evaluate_one_fmpq :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpq -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_compose_fmpq_poly/ /A/ /B/ /C/ /ctxB/ -- -- Set /A/ to the evaluation of /B/ where the variables are replaced by the -- corresponding elements of the array /C/. The context object of /B/ is -- /ctxB/. Return \(1\) for success and \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_compose_fmpq_poly" fmpq_mpoly_compose_fmpq_poly :: Ptr CFmpqPoly -> Ptr CFmpqMPoly -> Ptr (Ptr (Ptr (Ptr CFmpqPoly))) -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_compose_fmpq_mpoly/ /A/ /B/ /C/ /ctxB/ /ctxAC/ -- -- Set /A/ to the evaluation of /B/ where the variables are replaced by the -- corresponding elements of the array /C/. Both /A/ and the elements of -- /C/ have context object /ctxAC/, while /B/ has context object /ctxB/. -- Neither /A/ nor /B/ is allowed to alias any other polynomial. Return -- \(1\) for success and \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_compose_fmpq_mpoly" fmpq_mpoly_compose_fmpq_mpoly :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr (Ptr (Ptr CFmpqMPoly)) -> Ptr CFmpqMPolyCtx -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_compose_fmpq_mpoly_gen/ /A/ /B/ /c/ /ctxB/ /ctxAC/ -- -- Set /A/ to the evaluation of /B/ where the variable of index /i/ in -- /ctxB/ is replaced by the variable of index @c[i]@ in /ctxAC/. The -- length of the array /C/ is the number of variables in /ctxB/. If any -- @c[i]@ is negative, the corresponding variable of /B/ is replaced by -- zero. Otherwise, it is expected that @c[i]@ is less than the number of -- variables in /ctxAC/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_compose_fmpq_mpoly_gen" fmpq_mpoly_compose_fmpq_mpoly_gen :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CLong -> Ptr CFmpqMPolyCtx -> Ptr CFmpqMPolyCtx -> IO () -- Multiplication -------------------------------------------------------------- -- | /fmpq_mpoly_mul/ /A/ /B/ /C/ /ctx/ -- -- Set /A/ to \(B \times C\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_mul" fmpq_mpoly_mul :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- Powering -------------------------------------------------------------------- -- | /fmpq_mpoly_pow_fmpz/ /A/ /B/ /k/ /ctx/ -- -- Set /A/ to /B/ raised to the /k/-th power. Return \(1\) for success and -- \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_pow_fmpz" fmpq_mpoly_pow_fmpz :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpz -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_pow_ui/ /A/ /B/ /k/ /ctx/ -- -- Set /A/ to /B/ raised to the /k/-th power. Return \(1\) for success and -- \(0\) for failure. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_pow_ui" fmpq_mpoly_pow_ui :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CULong -> Ptr CFmpqMPolyCtx -> IO CInt -- Division -------------------------------------------------------------------- -- | /fmpq_mpoly_divides/ /Q/ /A/ /B/ /ctx/ -- -- If /A/ is divisible by /B/, set /Q/ to the exact quotient and return -- \(1\). Otherwise, set /Q/ to zero and return \(0\). Note that the -- function @fmpq_mpoly_div@ may be faster if the quotient is known to be -- exact. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_divides" fmpq_mpoly_divides :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_div/ /Q/ /A/ /B/ /ctx/ -- -- Set /Q/ to the quotient of /A/ by /B/, discarding the remainder. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_div" fmpq_mpoly_div :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_divrem/ /Q/ /R/ /A/ /B/ /ctx/ -- -- Set /Q/ and /R/ to the quotient and remainder of /A/ divided by /B/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_divrem" fmpq_mpoly_divrem :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_divrem_ideal/ /Q/ /R/ /A/ /B/ /len/ /ctx/ -- -- This function is as per @fmpq_mpoly_divrem@ except that it takes an -- array of divisor polynomials /B/ and it returns an array of quotient -- polynomials /Q/. The number of divisor (and hence quotient) polynomials -- is given by /len/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_divrem_ideal" fmpq_mpoly_divrem_ideal :: Ptr (Ptr (Ptr CFmpqMPoly)) -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr (Ptr (Ptr CFmpqMPoly)) -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- Greatest Common Divisor ----------------------------------------------------- -- | /fmpq_mpoly_content/ /g/ /A/ /ctx/ -- -- Set /g/ to the (nonnegative) gcd of the coefficients of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_content" fmpq_mpoly_content :: Ptr CFmpq -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_term_content/ /M/ /A/ /ctx/ -- -- Set /M/ to the GCD of the terms of /A/. If /A/ is zero, /M/ will be -- zero. Otherwise, /M/ will be a monomial with coefficient one. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_term_content" fmpq_mpoly_term_content :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_content_vars/ /g/ /A/ /vars/ /vars_length/ /ctx/ -- -- Set /g/ to the GCD of the coefficients of /A/ when viewed as a -- polynomial in the variables /vars/. Return \(1\) for success and \(0\) -- for failure. Upon success, /g/ will be independent of the variables -- /vars/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_content_vars" fmpq_mpoly_content_vars :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CLong -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd/ /G/ /A/ /B/ /ctx/ -- -- Try to set /G/ to the monic GCD of /A/ and /B/. The GCD of zero and zero -- is defined to be zero. If the return is \(1\) the function was -- successful. Otherwise the return is \(0\) and /G/ is left untouched. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd" fmpq_mpoly_gcd :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_cofactors/ /G/ /Abar/ /Bbar/ /A/ /B/ /ctx/ -- -- Do the operation of @fmpq_mpoly_gcd@ and also compute \(Abar = A/G\) and -- \(Bbar = B/G\) if successful. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_cofactors" fmpq_mpoly_gcd_cofactors :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_brown/ /G/ /A/ /B/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_brown" fmpq_mpoly_gcd_brown :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_hensel/ /G/ /A/ /B/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_hensel" fmpq_mpoly_gcd_hensel :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_subresultant/ /G/ /A/ /B/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_subresultant" fmpq_mpoly_gcd_subresultant :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_zippel/ /G/ /A/ /B/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_zippel" fmpq_mpoly_gcd_zippel :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_gcd_zippel2/ /G/ /A/ /B/ /ctx/ -- -- Try to set /G/ to the GCD of /A/ and /B/ using various algorithms. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_gcd_zippel2" fmpq_mpoly_gcd_zippel2 :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_resultant/ /R/ /A/ /B/ /var/ /ctx/ -- -- Try to set /R/ to the resultant of /A/ and /B/ with respect to the -- variable of index /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_resultant" fmpq_mpoly_resultant :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_discriminant/ /D/ /A/ /var/ /ctx/ -- -- Try to set /D/ to the discriminant of /A/ with respect to the variable -- of index /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_discriminant" fmpq_mpoly_discriminant :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO CInt -- Square Root ----------------------------------------------------------------- -- | /fmpq_mpoly_sqrt/ /Q/ /A/ /ctx/ -- -- If /A/ is a perfect square return \(1\) and set /Q/ to the square root -- with positive leading coefficient. Otherwise return \(0\) and set /Q/ to -- zero. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_sqrt" fmpq_mpoly_sqrt :: Ptr CFmpqMPoly -> Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_is_square/ /A/ /ctx/ -- -- Return \(1\) if /A/ is a perfect square, otherwise return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_is_square" fmpq_mpoly_is_square :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyCtx -> IO CInt -- UniVariate Functions -------------------------------------------------------- -- | /fmpq_mpoly_univar_init/ /A/ /ctx/ -- -- Initialize /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_init" fmpq_mpoly_univar_init :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_univar_clear/ /A/ /ctx/ -- -- Clear /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_clear" fmpq_mpoly_univar_clear :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO () foreign import ccall "fmpq_mpoly.h &fmpq_mpoly_univar_clear" p_fmpq_mpoly_univar_clear :: FunPtr (Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO ()) -- | /fmpq_mpoly_univar_swap/ /A/ /B/ /ctx/ -- -- Swap /A/ and /B/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_swap" fmpq_mpoly_univar_swap :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_to_univar/ /A/ /B/ /var/ /ctx/ -- -- Set /A/ to a univariate form of /B/ by pulling out the variable of index -- /var/. The coefficients of /A/ will still belong to the content /ctx/ -- but will not depend on the variable of index /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_to_univar" fmpq_mpoly_to_univar :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPoly -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_from_univar/ /A/ /B/ /var/ /ctx/ -- -- Set /A/ to the normal form of /B/ by putting in the variable of index -- /var/. This function is undefined if the coefficients of /B/ depend on -- the variable of index /var/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_from_univar" fmpq_mpoly_from_univar :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyUniVar -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_univar_degree_fits_si/ /A/ /ctx/ -- -- Return \(1\) if the degree of /A/ with respect to the main variable fits -- an @slong@. Otherwise, return \(0\). foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_degree_fits_si" fmpq_mpoly_univar_degree_fits_si :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO CInt -- | /fmpq_mpoly_univar_length/ /A/ /ctx/ -- -- Return the number of terms in /A/ with respect to the main variable. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_length" fmpq_mpoly_univar_length :: Ptr CFmpqMPolyUniVar -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_univar_get_term_exp_si/ /A/ /i/ /ctx/ -- -- Return the exponent of the term of index /i/ of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_get_term_exp_si" fmpq_mpoly_univar_get_term_exp_si :: Ptr CFmpqMPolyUniVar -> CLong -> Ptr CFmpqMPolyCtx -> IO CLong -- | /fmpq_mpoly_univar_get_term_coeff/ /c/ /A/ /i/ /ctx/ foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_get_term_coeff" fmpq_mpoly_univar_get_term_coeff :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyUniVar -> CLong -> Ptr CFmpqMPolyCtx -> IO () -- | /fmpq_mpoly_univar_swap_term_coeff/ /c/ /A/ /i/ /ctx/ -- -- Set (resp. swap) /c/ to (resp. with) the coefficient of the term of -- index /i/ of /A/. foreign import ccall "fmpq_mpoly.h fmpq_mpoly_univar_swap_term_coeff" fmpq_mpoly_univar_swap_term_coeff :: Ptr CFmpqMPoly -> Ptr CFmpqMPolyUniVar -> CLong -> Ptr CFmpqMPolyCtx -> IO ()