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GB_control.h
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GB_control.h
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//------------------------------------------------------------------------------
// GB_control.h: disable hard-coded functions to reduce code size
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// The installer of SuiteSparse:GraphBLAS can edit this file to reduce the code
// size of the compiled library, by disabling the corresonding hard-coded
// functions in Source/Generated2. For example, if SuiteSparse:GraphBLAS is
// integrated into an application that makes no use of the GrB_INT16 data type,
// or just occassional use where performance is not a concern, then uncomment
// the line "#define GxB_NO_INT16 1". Alternatively, SuiteSparse:GraphBLAS can
// be compiled with a list of options, such as -DGxB_NO_INT16=1, which does the
// same thing.
// GraphBLAS will still work as expected. It will simply use a generic method
// instead of the type- or operator-specific code. It will be slower, by about
// 2x or 3x, depending on the operation. but its results will be the same. A
// few operations will be 10x slower, such as GrB_reduce to scalar using the
// GrB_MAX_FP64 operator.
// However, the code size can be reduced significantly. Uncommenting all of
// the options below cuts the code from 55MB to under 2.7MB, on a MacBook Pro
// using gcc 8.2.0 (as of the draft V3.0.0 version, June 18, 2019). Disabling
// all types except GxB_NO_FP64 results in a code size of 7.8MB.
// Note that some semirings are renamed. For example, C=A*B when all matrices
// are in CSC format, uses the semiring as-is. If all matrices are in CSR
// format instead, then C'=B'*A' is computed, treating the internal matrices
// as if they are in CSC format. To accomplish this, the semiring may be
// "flipped", if the multiply operator is not commutative. That is,
// the GxB_PLUS_FIRST_* semiring is replaced with GxB_PLUS_SECOND_*. Below
// is a list of all multiplicative operators and their "flipped" pair.
// As a result of the "flip", if the FIRST operator is disabled, it may disable
// some uses of the GxB_*_SECOND_* semirings, and visa versa, depending on the
// matrix formats. I recommend that if you want to use the FIRST operator with
// fast hard-coded semirings, then do not disable FIRST or SECOND. The
// following is a complete list of all pairs of operators that may be replaced
// with the other. I recommend either keeping both of each pair, or disabling
// both.
// FIRST and SECOND
// LT and GT
// LE and GE
// ISLT and ISGT
// ISLE and ISGE
// DIV and RDIV
// MINUS and RMINUS
// In addition, many of the Boolean operators are not unique, and are renamed
// internally. The operators listed here are just the unique ones. In
// particular, GrB_DIV_BOOL is identical to GrB_FIRST_BOOL, so the GrB_DIV_BOOL
// operator is replaced internally with GrB_FIRST_BOOL.
// FIRST and DIV : FIRST is used for both
// SECOND and RDIV : SECOND
// MIN, TIMES, and LAND : LAND
// MAX, PLUS, and LOR : LOR
// ISNE, NE, MINUS, RMINUS, and LXOR : LXOR
// ISEQ, EQ : EQ
// ISGT, GT : GT
// ISLT, LT : LT
// ISGE, GE : GE
// ISLE, LE : LE
// Thus, below there is a #define GxB_NO_LAND_FIRST_BOOL, but no #define
// GxB_NO_LAND_DIV_BOOL.
// Note that there are no macros that disable the hard-coded functions for
// GxB_select (Generated1/GB_sel__*), since they have no generic equivalents.
// The ANY_PAIR semirings appear in Generated1/GB_AxB__any_pair_iso.c and
// cannot be disabled.
// In this version of SuiteSparse:GraphBLAS, some of the fast hard-coded
// semirings have been disabled below. They still work, but are now slower
// since the work is now done by the generic semiring instead. These semirings
// are likely not needed by any application, and disabling them here saves
// compile time and reduces the size of the compiled library. Hard-coded
// semirings removed:
// (1) *_IS* semirings are removed.
// (2) semirings with DIV, RDIV, MINUS, RMINUS and ANY multiplicative
// operators are removed. ANY still appears as a monoid for many fast
// hard-coded semirings, just not as a multiplicative operator.
// (3) MIN, MAX, and TIMES monoids with the PAIR, LAND, LOR and LXOR
// multiplicative operators are removed.
// (4) PLUS monoids with LAND, LOR, and LXOR multiplicative ops.
// (5) MAX_MAX, MIN_MIN, semirings are removed.
// (5) ANY monoids with the EQ, NE, GE, LE, GT, LT, LAND, LOR, LXOR, MAX, MIN,
// PLUS and TIMES operators.
// (6) boolean semirings with non-boolean inputs removed
// (EQ_LT_FP32 for example), and boolean inputs with comparators
// (GE, GT, LE, LT)
// (7) positional semirings with PLUS and TIMES monoid removed.
// (8) some complex semirings removed.
// With the above semirings removed, the remaining 398 semirings are:
// 25 boolean semirings
//
// monoid multiply ops
// EQ: EQ (=LXNOR), LAND, LOR, LXOR (=NE), FIRST, SECOND
// LAND: EQ (=LXNOR), LAND, LOR, LXOR (=NE), FIRST, SECOND
// LOR: EQ (=LXNOR), LAND, LOR, LXOR (=NE), FIRST, SECOND
// LXOR: EQ (=LXNOR), LAND, LOR, LXOR (=NE), FIRST, SECOND, PAIR.
//
// note: EQ_BOOL and LXNOR are the same operator, and
// NE_BOOL and LXOR are the same operator.
//
// 100 semirings with MIN/MAX monoids (10 kinds, 10 real types each):
//
// monoid multiply ops
// MAX: MIN, PLUS, TIMES, FIRST, SECOND
// MIN: MAX, PLUS, TIMES, FIRST, SECOND
//
// 70 semirings with PLUS monoids (10 real types each):
// 60 semirings with TIMES monoids (10 real types each):
//
// monoid multiply ops
// PLUS: MIN, MAX, PLUS, TIMES, FIRST, SECOND, PAIR
// TIMES: MIN, MAX, PLUS, TIMES, FIRST, SECOND
//
// 10 semirings for 2 complex types (PLUS and TIMES monoids only):
//
// monoid multiply ops
// PLUS: TIMES, FIRST, SECOND
// TIMES: FIRST, SECOND
//
// 33 semirings enabled with the ANY monoid:
//
// ANY: FIRST, SECOND, PAIR (with bool, 10 real types)
//
// 64 bitwise semirings: for 4 unsigned integer types:
//
// (BOR, BAND, BXOR, BXNOR) x (BOR, BAND, BXOR, BXNOR)
//
// 36 positional semirings:
//
// monoids: (MIN, MAX, ANY) x
// mult: (FIRSTI, FIRSTI1, FIRSTJ, FIRSTJ1, SECONDJ, SECONDJ1) x
// types: (int32, int64)
//
// note:
// EQ_PAIR_BOOL, XNOR_PAIR_BOOL, LAND_PAIR_BOOL, LOR_PAIR_BOOL, are all
// the same as ANY_PAIR_BOOL. For the other types, MAX_PAIR, MIN_PAIR,
// and TIMES_PAIR are the same as ANY_PAIR. These are excluded from the
// list above, but are just as fast as ANY_PAIR.
// These changes have no effect on the performance of binary operations such
// as eWiseAdd, eWiseMult, or the unary GrB_apply to GrB_reduce. They only
// affect GrB_mxm, GrB_mxv, and GrB_vxm.
// To renable the fast versions of these semirings, simply comment out the
// specific "#define GxB_NO..." statements below, and recompile this library.
//------------------------------------------------------------------------------
// uncomment any of these lines to disable the types
//------------------------------------------------------------------------------
// These disable all semirings with the corresponding type of x,y for the
// multiplicative operator, for GrB_mxm, GrB_vxm, and GrB_mxv.
// They also disable the hard-coded functions for GrB_eWiseAdd, GrB_eWiseMult,
// GrB_reduce, GrB_*_build, GrB_apply, and GrB_transpose for this type.
// If disabled, the types still work just fine, but operations on them will be
// slower.
// #define GxB_NO_BOOL 1
// #define GxB_NO_FP32 1
// #define GxB_NO_FP64 1
// #define GxB_NO_FC32 1
// #define GxB_NO_FC64 1
// #define GxB_NO_INT16 1
// #define GxB_NO_INT32 1
// #define GxB_NO_INT64 1
// #define GxB_NO_INT8 1
// #define GxB_NO_UINT16 1
// #define GxB_NO_UINT32 1
// #define GxB_NO_UINT64 1
// #define GxB_NO_UINT8 1
//------------------------------------------------------------------------------
// uncomment any of these lines to disable the unary operators
//------------------------------------------------------------------------------
// These disable all unary operators for GrB_apply. These options have no
// effect on GrB_mxm, GrB_vxm, GrB_mxv, GrB_eWiseAdd, GrB_eWiseMult,
// GrB_reduce, or GrB_*_build.
// Any disabled unary operators will still work just fine, but operations using
// them will be slower.
// #define GxB_NO_ABS 1
// #define GxB_NO_AINV 1
// #define GxB_NO_IDENTITY 1
// #define GxB_NO_LNOT 1
// #define GxB_NO_MINV 1
// #define GxB_NO_ONE 1
// #define GxB_NO_BNOT 1
// #define GxB_NO_SQRT 1
// #define GxB_NO_LOG 1
// #define GxB_NO_EXP 1
// #define GxB_NO_SIN 1
// #define GxB_NO_COS 1
// #define GxB_NO_TAN 1
// #define GxB_NO_ASIN 1
// #define GxB_NO_ACOS 1
// #define GxB_NO_ATAN 1
// #define GxB_NO_SINH 1
// #define GxB_NO_COSH 1
// #define GxB_NO_TANH 1
// #define GxB_NO_ASINH 1
// #define GxB_NO_ACOSH 1
// #define GxB_NO_ATANH 1
// #define GxB_NO_SIGNUM 1
// #define GxB_NO_CEIL 1
// #define GxB_NO_FLOOR 1
// #define GxB_NO_ROUND 1
// #define GxB_NO_TRUNC 1
// #define GxB_NO_EXP2 1
// #define GxB_NO_EXPM1 1
// #define GxB_NO_LOG10 1
// #define GxB_NO_LOG1P 1
// #define GxB_NO_LOG2 1
// #define GxB_NO_LGAMMA 1
// #define GxB_NO_TGAMMA 1
// #define GxB_NO_ERF 1
// #define GxB_NO_ERFC 1
// #define GxB_NO_CBRT 1
// #define GxB_NO_FREXPX 1
// #define GxB_NO_FREXPE 1
// #define GxB_NO_CONJ 1
// #define GxB_NO_CREAL 1
// #define GxB_NO_CIMAG 1
// #define GxB_NO_CARG 1
// #define GxB_NO_ISINF 1
// #define GxB_NO_ISNAN 1
// #define GxB_NO_ISFINITE 1
//------------------------------------------------------------------------------
// uncomment any of these lines to disable the binary operators for all types
//------------------------------------------------------------------------------
// These disable all semirings with the corresponding additive or
// multiplicative operator, for GrB_mxm, GrB_vxm, and GrB_mxv.
// They also disable the hard-coded functions for GrB_eWiseAdd, GrB_eWiseMult,
// GrB_reduce, and GrB_*_build for this binary operator.
// Any disabled binary operators will still work just fine, but operations
// using them will be slower.
// #define GxB_NO_FIRST 1
// #define GxB_NO_SECOND 1
// #define GxB_NO_PAIR 1
// #define GxB_NO_ANY 1
// #define GxB_NO_MIN 1
// #define GxB_NO_MAX 1
// #define GxB_NO_PLUS 1
// #define GxB_NO_MINUS 1
// #define GxB_NO_RMINUS 1
// #define GxB_NO_TIMES 1
// #define GxB_NO_DIV 1
// #define GxB_NO_RDIV 1
// #define GxB_NO_ISEQ 1
// #define GxB_NO_ISNE 1
// #define GxB_NO_ISGT 1
// #define GxB_NO_ISGE 1
// #define GxB_NO_ISLT 1
// #define GxB_NO_ISLE 1
// #define GxB_NO_EQ 1
// #define GxB_NO_NE 1
// #define GxB_NO_GT 1
// #define GxB_NO_LT 1
// #define GxB_NO_LE 1
// #define GxB_NO_GE 1
// #define GxB_NO_LAND 1
// #define GxB_NO_LOR 1
// #define GxB_NO_LXOR 1
// #define GxB_NO_BOR 1
// #define GxB_NO_BAND 1
// #define GxB_NO_BXOR 1
// #define GxB_NO_BXNOR 1
// #define GxB_NO_BGET 1
// #define GxB_NO_BSET 1
// #define GxB_NO_BCLR 1
// #define GxB_NO_BSHIFT 1
// #define GxB_NO_ATAN2 1
// #define GxB_NO_HYPOT 1
// #define GxB_NO_FMOD 1
// #define GxB_NO_REMAINDER 1
// #define GxB_NO_COPYSIGN 1
// #define GxB_NO_LDEXP 1
// #define GxB_NO_CMPLX 1
// #define GxB_NO_POW 1
// #define GxB_NO_FIRSTI 1
// #define GxB_NO_FIRSTI1 1
// #define GxB_NO_FIRSTJ 1
// #define GxB_NO_FIRSTJ1 1
// #define GxB_NO_SECONDI 1
// #define GxB_NO_SECONDI1 1
// #define GxB_NO_SECONDJ 1
// #define GxB_NO_SECONDJ1 1
//------------------------------------------------------------------------------
// uncomment any of these lines to disable the binary operators for each type
//------------------------------------------------------------------------------
// These disable all semirings with the corresponding additive or
// multiplicative operator with the particular type, for GrB_mxm, GrB_vxm, and
// GrB_mxv.
// They also disable the hard-coded functions for GrB_eWiseAdd, GrB_eWiseMult,
// GrB_reduce, and GrB_*_build for this binary operator, for the particular
// type.
// These options are more precise than the ones above. For example,
// GxB_NO_TIMES, above, disables the GrB_TIMES_<type> operator for all types
// (except bool, which is renamed as GrB_LAND). GxB_NO_INT16, above, disables
// all operators of the form GrB_<op>_INT16. But GxB_NO_TIMES_INT16, listed
// below, disables just the single GrB_TIMES_INT16 operator, and all semirings
// that use it. It has no effect on GrB_TIMES_FP64, for example, or any other
// operator.
// Note that some boolean operators do not appear. GrB_MIN_BOOL and
// GrB_TIMES_BOOL are renamed internally to GrB_LAND_BOOL, for example, so
// uncommenting GxB_NO_LAND_BOOL disables all three operators.
// Any disabled binary operators will still work just fine, but operations
// using them will be slower.
// also needed by GrB_reduce to vector
// #define GxB_NO_FIRST_INT8 1
// #define GxB_NO_FIRST_INT16 1
// #define GxB_NO_FIRST_INT32 1
// #define GxB_NO_FIRST_INT64 1
// #define GxB_NO_FIRST_UINT8 1
// #define GxB_NO_FIRST_UINT16 1
// #define GxB_NO_FIRST_UINT32 1
// #define GxB_NO_FIRST_UINT64 1
// #define GxB_NO_FIRST_FP32 1
// #define GxB_NO_FIRST_FP64 1
// #define GxB_NO_FIRST_FC32 1
// #define GxB_NO_FIRST_FC64 1
// #define GxB_NO_FIRST_BOOL 1
// also needed by GrB_reduce to vector
// #define GxB_NO_SECOND_INT8 1
// #define GxB_NO_SECOND_INT16 1
// #define GxB_NO_SECOND_INT32 1
// #define GxB_NO_SECOND_INT64 1
// #define GxB_NO_SECOND_UINT8 1
// #define GxB_NO_SECOND_UINT16 1
// #define GxB_NO_SECOND_UINT32 1
// #define GxB_NO_SECOND_UINT64 1
// #define GxB_NO_SECOND_FP32 1
// #define GxB_NO_SECOND_FP64 1
// #define GxB_NO_SECOND_FC32 1
// #define GxB_NO_SECOND_FC64 1
// #define GxB_NO_SECOND_BOOL 1
// #define GxB_NO_PAIR_INT8 1
// #define GxB_NO_PAIR_INT16 1
// #define GxB_NO_PAIR_INT32 1
// #define GxB_NO_PAIR_INT64 1
// #define GxB_NO_PAIR_UINT8 1
// #define GxB_NO_PAIR_UINT16 1
// #define GxB_NO_PAIR_UINT32 1
// #define GxB_NO_PAIR_UINT64 1
// #define GxB_NO_PAIR_FP32 1
// #define GxB_NO_PAIR_FP64 1
// #define GxB_NO_PAIR_FC32 1
// #define GxB_NO_PAIR_FC64 1
// #define GxB_NO_PAIR_BOOL 1
// #define GxB_NO_ANY_INT8 1
// #define GxB_NO_ANY_INT16 1
// #define GxB_NO_ANY_INT32 1
// #define GxB_NO_ANY_INT64 1
// #define GxB_NO_ANY_UINT8 1
// #define GxB_NO_ANY_UINT16 1
// #define GxB_NO_ANY_UINT32 1
// #define GxB_NO_ANY_UINT64 1
// #define GxB_NO_ANY_FP32 1
// #define GxB_NO_ANY_FP64 1
// #define GxB_NO_ANY_FC32 1
// #define GxB_NO_ANY_FC64 1
// #define GxB_NO_ANY_BOOL 1
// #define GxB_NO_MIN_INT8 1
// #define GxB_NO_MIN_INT16 1
// #define GxB_NO_MIN_INT32 1
// #define GxB_NO_MIN_INT64 1
// #define GxB_NO_MIN_UINT8 1
// #define GxB_NO_MIN_UINT16 1
// #define GxB_NO_MIN_UINT32 1
// #define GxB_NO_MIN_UINT64 1
// #define GxB_NO_MIN_FP32 1
// #define GxB_NO_MIN_FP64 1
// #define GxB_NO_MAX_INT8 1
// #define GxB_NO_MAX_INT16 1
// #define GxB_NO_MAX_INT32 1
// #define GxB_NO_MAX_INT64 1
// #define GxB_NO_MAX_UINT8 1
// #define GxB_NO_MAX_UINT16 1
// #define GxB_NO_MAX_UINT32 1
// #define GxB_NO_MAX_UINT64 1
// #define GxB_NO_MAX_FP32 1
// #define GxB_NO_MAX_FP64 1
// #define GxB_NO_PLUS_INT8 1
// #define GxB_NO_PLUS_INT16 1
// #define GxB_NO_PLUS_INT32 1
// #define GxB_NO_PLUS_INT64 1
// #define GxB_NO_PLUS_UINT8 1
// #define GxB_NO_PLUS_UINT16 1
// #define GxB_NO_PLUS_UINT32 1
// #define GxB_NO_PLUS_UINT64 1
// #define GxB_NO_PLUS_FP32 1
// #define GxB_NO_PLUS_FP64 1
// #define GxB_NO_PLUS_FC32 1
// #define GxB_NO_PLUS_FC64 1
// #define GxB_NO_MINUS_INT8 1
// #define GxB_NO_MINUS_INT16 1
// #define GxB_NO_MINUS_INT32 1
// #define GxB_NO_MINUS_INT64 1
// #define GxB_NO_MINUS_UINT8 1
// #define GxB_NO_MINUS_UINT16 1
// #define GxB_NO_MINUS_UINT32 1
// #define GxB_NO_MINUS_UINT64 1
// #define GxB_NO_MINUS_FP32 1
// #define GxB_NO_MINUS_FP64 1
// #define GxB_NO_MINUS_FC32 1
// #define GxB_NO_MINUS_FC64 1
// #define GxB_NO_RMINUS_INT8 1
// #define GxB_NO_RMINUS_INT16 1
// #define GxB_NO_RMINUS_INT32 1
// #define GxB_NO_RMINUS_INT64 1
// #define GxB_NO_RMINUS_UINT8 1
// #define GxB_NO_RMINUS_UINT16 1
// #define GxB_NO_RMINUS_UINT32 1
// #define GxB_NO_RMINUS_UINT64 1
// #define GxB_NO_RMINUS_FP32 1
// #define GxB_NO_RMINUS_FP64 1
// #define GxB_NO_RMINUS_FC32 1
// #define GxB_NO_RMINUS_FC64 1
// #define GxB_NO_TIMES_INT8 1
// #define GxB_NO_TIMES_INT16 1
// #define GxB_NO_TIMES_INT32 1
// #define GxB_NO_TIMES_INT64 1
// #define GxB_NO_TIMES_UINT8 1
// #define GxB_NO_TIMES_UINT16 1
// #define GxB_NO_TIMES_UINT32 1
// #define GxB_NO_TIMES_UINT64 1
// #define GxB_NO_TIMES_FP32 1
// #define GxB_NO_TIMES_FP64 1
// #define GxB_NO_TIMES_FC32 1
// #define GxB_NO_TIMES_FC64 1
// #define GxB_NO_DIV_INT8 1
// #define GxB_NO_DIV_INT16 1
// #define GxB_NO_DIV_INT32 1
// #define GxB_NO_DIV_INT64 1
// #define GxB_NO_DIV_UINT8 1
// #define GxB_NO_DIV_UINT16 1
// #define GxB_NO_DIV_UINT32 1
// #define GxB_NO_DIV_UINT64 1
// #define GxB_NO_DIV_FP32 1
// #define GxB_NO_DIV_FP64 1
// #define GxB_NO_DIV_FC32 1
// #define GxB_NO_DIV_FC64 1
// #define GxB_NO_RDIV_INT8 1
// #define GxB_NO_RDIV_INT16 1
// #define GxB_NO_RDIV_INT32 1
// #define GxB_NO_RDIV_INT64 1
// #define GxB_NO_RDIV_UINT8 1
// #define GxB_NO_RDIV_UINT16 1
// #define GxB_NO_RDIV_UINT32 1
// #define GxB_NO_RDIV_UINT64 1
// #define GxB_NO_RDIV_FP32 1
// #define GxB_NO_RDIV_FP64 1
// #define GxB_NO_RDIV_FC32 1
// #define GxB_NO_RDIV_FC64 1
// #define GxB_NO_ISEQ_INT8 1
// #define GxB_NO_ISEQ_INT16 1
// #define GxB_NO_ISEQ_INT32 1
// #define GxB_NO_ISEQ_INT64 1
// #define GxB_NO_ISEQ_UINT8 1
// #define GxB_NO_ISEQ_UINT16 1
// #define GxB_NO_ISEQ_UINT32 1
// #define GxB_NO_ISEQ_UINT64 1
// #define GxB_NO_ISEQ_FP32 1
// #define GxB_NO_ISEQ_FP64 1
// #define GxB_NO_ISEQ_FC32 1
// #define GxB_NO_ISEQ_FC64 1
// #define GxB_NO_ISNE_INT8 1
// #define GxB_NO_ISNE_INT16 1
// #define GxB_NO_ISNE_INT32 1
// #define GxB_NO_ISNE_INT64 1
// #define GxB_NO_ISNE_UINT8 1
// #define GxB_NO_ISNE_UINT16 1
// #define GxB_NO_ISNE_UINT32 1
// #define GxB_NO_ISNE_UINT64 1
// #define GxB_NO_ISNE_FP32 1
// #define GxB_NO_ISNE_FP64 1
// #define GxB_NO_ISNE_FC32 1
// #define GxB_NO_ISNE_FC64 1
// #define GxB_NO_ISGT_INT8 1
// #define GxB_NO_ISGT_INT16 1
// #define GxB_NO_ISGT_INT32 1
// #define GxB_NO_ISGT_INT64 1
// #define GxB_NO_ISGT_UINT8 1
// #define GxB_NO_ISGT_UINT16 1
// #define GxB_NO_ISGT_UINT32 1
// #define GxB_NO_ISGT_UINT64 1
// #define GxB_NO_ISGT_FP32 1
// #define GxB_NO_ISGT_FP64 1
// #define GxB_NO_ISLT_INT8 1
// #define GxB_NO_ISLT_INT16 1
// #define GxB_NO_ISLT_INT32 1
// #define GxB_NO_ISLT_INT64 1
// #define GxB_NO_ISLT_UINT8 1
// #define GxB_NO_ISLT_UINT16 1
// #define GxB_NO_ISLT_UINT32 1
// #define GxB_NO_ISLT_UINT64 1
// #define GxB_NO_ISLT_FP32 1
// #define GxB_NO_ISLT_FP64 1
// #define GxB_NO_ISGE_INT8 1
// #define GxB_NO_ISGE_INT16 1
// #define GxB_NO_ISGE_INT32 1
// #define GxB_NO_ISGE_INT64 1
// #define GxB_NO_ISGE_UINT8 1
// #define GxB_NO_ISGE_UINT16 1
// #define GxB_NO_ISGE_UINT32 1
// #define GxB_NO_ISGE_UINT64 1
// #define GxB_NO_ISGE_FP32 1
// #define GxB_NO_ISGE_FP64 1
// #define GxB_NO_ISLE_INT8 1
// #define GxB_NO_ISLE_INT16 1
// #define GxB_NO_ISLE_INT32 1
// #define GxB_NO_ISLE_INT64 1
// #define GxB_NO_ISLE_UINT8 1
// #define GxB_NO_ISLE_UINT16 1
// #define GxB_NO_ISLE_UINT32 1
// #define GxB_NO_ISLE_UINT64 1
// #define GxB_NO_ISLE_FP32 1
// #define GxB_NO_ISLE_FP64 1
// #define GxB_NO_EQ_INT8 1
// #define GxB_NO_EQ_INT16 1
// #define GxB_NO_EQ_INT32 1
// #define GxB_NO_EQ_INT64 1
// #define GxB_NO_EQ_UINT8 1
// #define GxB_NO_EQ_UINT16 1
// #define GxB_NO_EQ_UINT32 1
// #define GxB_NO_EQ_UINT64 1
// #define GxB_NO_EQ_FP32 1
// #define GxB_NO_EQ_FP64 1
// #define GxB_NO_EQ_BOOL 1
// #define GxB_NO_EQ_FC32 1
// #define GxB_NO_EQ_FC64 1
// #define GxB_NO_NE_INT8 1
// #define GxB_NO_NE_INT16 1
// #define GxB_NO_NE_INT32 1
// #define GxB_NO_NE_INT64 1
// #define GxB_NO_NE_UINT8 1
// #define GxB_NO_NE_UINT16 1
// #define GxB_NO_NE_UINT32 1
// #define GxB_NO_NE_UINT64 1
// #define GxB_NO_NE_FP32 1
// #define GxB_NO_NE_FP64 1
// #define GxB_NO_NE_FC32 1
// #define GxB_NO_NE_FC64 1
// #define GxB_NO_GT_INT8 1
// #define GxB_NO_GT_INT16 1
// #define GxB_NO_GT_INT32 1
// #define GxB_NO_GT_INT64 1
// #define GxB_NO_GT_UINT8 1
// #define GxB_NO_GT_UINT16 1
// #define GxB_NO_GT_UINT32 1
// #define GxB_NO_GT_UINT64 1
// #define GxB_NO_GT_FP32 1
// #define GxB_NO_GT_FP64 1
// #define GxB_NO_GT_BOOL 1
// #define GxB_NO_LT_INT8 1
// #define GxB_NO_LT_INT16 1
// #define GxB_NO_LT_INT32 1
// #define GxB_NO_LT_INT64 1
// #define GxB_NO_LT_UINT8 1
// #define GxB_NO_LT_UINT16 1
// #define GxB_NO_LT_UINT32 1
// #define GxB_NO_LT_UINT64 1
// #define GxB_NO_LT_FP32 1
// #define GxB_NO_LT_FP64 1
// #define GxB_NO_LT_BOOL 1
// #define GxB_NO_GE_INT8 1
// #define GxB_NO_GE_INT16 1
// #define GxB_NO_GE_INT32 1
// #define GxB_NO_GE_INT64 1
// #define GxB_NO_GE_UINT8 1
// #define GxB_NO_GE_UINT16 1
// #define GxB_NO_GE_UINT32 1
// #define GxB_NO_GE_UINT64 1
// #define GxB_NO_GE_FP32 1
// #define GxB_NO_GE_FP64 1
// #define GxB_NO_GE_BOOL 1
// #define GxB_NO_LE_INT8 1
// #define GxB_NO_LE_INT16 1
// #define GxB_NO_LE_INT32 1
// #define GxB_NO_LE_INT64 1
// #define GxB_NO_LE_UINT8 1
// #define GxB_NO_LE_UINT16 1
// #define GxB_NO_LE_UINT32 1
// #define GxB_NO_LE_UINT64 1
// #define GxB_NO_LE_FP32 1
// #define GxB_NO_LE_FP64 1
// #define GxB_NO_LE_BOOL
// #define GxB_NO_LOR_INT8 1
// #define GxB_NO_LOR_INT16 1
// #define GxB_NO_LOR_INT32 1
// #define GxB_NO_LOR_INT64 1
// #define GxB_NO_LOR_UINT8 1
// #define GxB_NO_LOR_UINT16 1
// #define GxB_NO_LOR_UINT32 1
// #define GxB_NO_LOR_UINT64 1
// #define GxB_NO_LOR_FP32 1
// #define GxB_NO_LOR_FP64 1
// #define GxB_NO_LOR_BOOL 1
// #define GxB_NO_LAND_INT8 1
// #define GxB_NO_LAND_INT16 1
// #define GxB_NO_LAND_INT32 1
// #define GxB_NO_LAND_INT64 1
// #define GxB_NO_LAND_UINT8 1
// #define GxB_NO_LAND_UINT16 1
// #define GxB_NO_LAND_UINT32 1
// #define GxB_NO_LAND_UINT64 1
// #define GxB_NO_LAND_FP32 1
// #define GxB_NO_LAND_FP64 1
// #define GxB_NO_LAND_BOOL 1
// #define GxB_NO_LXOR_INT8 1
// #define GxB_NO_LXOR_INT16 1
// #define GxB_NO_LXOR_INT32 1
// #define GxB_NO_LXOR_INT64 1
// #define GxB_NO_LXOR_UINT8 1
// #define GxB_NO_LXOR_UINT16 1
// #define GxB_NO_LXOR_UINT32 1
// #define GxB_NO_LXOR_UINT64 1
// #define GxB_NO_LXOR_FP32 1
// #define GxB_NO_LXOR_FP64 1
// #define GxB_NO_LXOR_BOOL 1
// #define GxB_NO_ATAN2_FP32 1
// #define GxB_NO_ATAN2_FP64 1
// #define GxB_NO_HYPOT_FP32 1
// #define GxB_NO_HYPOT_FP64 1
// #define GxB_NO_FMOD_FP32 1
// #define GxB_NO_FMOD_FP64 1
// #define GxB_NO_REMAINDER_FP32 1
// #define GxB_NO_REMAINDER_FP64 1
// #define GxB_NO_COPYSIGN_FP32 1
// #define GxB_NO_COPYSIGN_FP64 1
// #define GxB_NO_LDEXP_FP32 1
// #define GxB_NO_LDEXP_FP64 1
// #define GxB_NO_CMPLX_FP32 1
// #define GxB_NO_CMPLX_FP64 1
// #define GxB_NO_POW_INT8 1
// #define GxB_NO_POW_INT16 1
// #define GxB_NO_POW_INT32 1
// #define GxB_NO_POW_INT64 1
// #define GxB_NO_POW_UINT8 1
// #define GxB_NO_POW_UINT16 1
// #define GxB_NO_POW_UINT32 1
// #define GxB_NO_POW_UINT64 1
// #define GxB_NO_POW_FP32 1
// #define GxB_NO_POW_FP64 1
// #define GxB_NO_POW_FC32 1
// #define GxB_NO_POW_FC64 1
// #define GxB_NO_POW_BOOL 1
// #define GxB_NO_BOR_INT8 1
// #define GxB_NO_BOR_INT16 1
// #define GxB_NO_BOR_INT32 1
// #define GxB_NO_BOR_INT64 1
// #define GxB_NO_BOR_UINT8 1
// #define GxB_NO_BOR_UINT16 1
// #define GxB_NO_BOR_UINT32 1
// #define GxB_NO_BOR_UINT64 1
// #define GxB_NO_BAND_INT8 1
// #define GxB_NO_BAND_INT16 1
// #define GxB_NO_BAND_INT32 1
// #define GxB_NO_BAND_INT64 1
// #define GxB_NO_BAND_UINT8 1
// #define GxB_NO_BAND_UINT16 1
// #define GxB_NO_BAND_UINT32 1
// #define GxB_NO_BAND_UINT64 1
// #define GxB_NO_BXOR_INT8 1
// #define GxB_NO_BXOR_INT16 1
// #define GxB_NO_BXOR_INT32 1
// #define GxB_NO_BXOR_INT64 1
// #define GxB_NO_BXOR_UINT8 1
// #define GxB_NO_BXOR_UINT16 1
// #define GxB_NO_BXOR_UINT32 1
// #define GxB_NO_BXOR_UINT64 1
// #define GxB_NO_BXNOR_INT8 1
// #define GxB_NO_BXNOR_INT16 1
// #define GxB_NO_BXNOR_INT32 1
// #define GxB_NO_BXNOR_INT64 1
// #define GxB_NO_BXNOR_UINT8 1
// #define GxB_NO_BXNOR_UINT16 1
// #define GxB_NO_BXNOR_UINT32 1
// #define GxB_NO_BXNOR_UINT64 1
// #define GxB_NO_BGET_INT8 1
// #define GxB_NO_BGET_INT16 1
// #define GxB_NO_BGET_INT32 1
// #define GxB_NO_BGET_INT64 1
// #define GxB_NO_BGET_UINT8 1
// #define GxB_NO_BGET_UINT16 1
// #define GxB_NO_BGET_UINT32 1
// #define GxB_NO_BGET_UINT64 1
// #define GxB_NO_BSET_INT8 1
// #define GxB_NO_BSET_INT16 1
// #define GxB_NO_BSET_INT32 1
// #define GxB_NO_BSET_INT64 1
// #define GxB_NO_BSET_UINT8 1
// #define GxB_NO_BSET_UINT16 1
// #define GxB_NO_BSET_UINT32 1
// #define GxB_NO_BSET_UINT64 1
// #define GxB_NO_BCLR_INT8 1
// #define GxB_NO_BCLR_INT16 1
// #define GxB_NO_BCLR_INT32 1
// #define GxB_NO_BCLR_INT64 1
// #define GxB_NO_BCLR_UINT8 1
// #define GxB_NO_BCLR_UINT16 1
// #define GxB_NO_BCLR_UINT32 1
// #define GxB_NO_BCLR_UINT64 1
// #define GxB_NO_BSHIFT_INT8 1
// #define GxB_NO_BSHIFT_INT16 1
// #define GxB_NO_BSHIFT_INT32 1
// #define GxB_NO_BSHIFT_INT64 1
// #define GxB_NO_BSHIFT_UINT8 1
// #define GxB_NO_BSHIFT_UINT16 1
// #define GxB_NO_BSHIFT_UINT32 1
// #define GxB_NO_BSHIFT_UINT64 1
// #define GxB_NO_FIRSTI_INT64 1
// #define GxB_NO_FIRSTI1_INT64 1
// #define GxB_NO_FIRSTJ_INT64 1
// #define GxB_NO_FIRSTJ1_INT64 1
// #define GxB_NO_SECONDI_INT64 1
// #define GxB_NO_SECONDI1_INT64 1
// #define GxB_NO_SECONDJ_INT64 1
// #define GxB_NO_SECONDJ1_INT64 1
// #define GxB_NO_FIRSTI_INT32 1
// #define GxB_NO_FIRSTI1_INT32 1
// #define GxB_NO_FIRSTJ_INT32 1
// #define GxB_NO_FIRSTJ1_INT32 1
// #define GxB_NO_SECONDI_INT32 1
// #define GxB_NO_SECONDI1_INT32 1
// #define GxB_NO_SECONDJ_INT32 1
// #define GxB_NO_SECONDJ1_INT32 1
//------------------------------------------------------------------------------
// uncomment any of these lines to disable the corresponding semiring
//------------------------------------------------------------------------------
// These options are still more precise. They disable all semirings with the
// corresponding semiring, for GrB_mxm, GrB_vxm, and GrB_mxv. For example, if
// GrB_NO_FP64 is enabled above, then all semirings of the form
// GxB_<addop>_<multop>_FP64 are disabled, for any addop or multop operators.
// If GrB_NO_PLUS is enabled above, then all semirings of the form
// GxB_PLUS_<multop>_<type> and GxB_<multop>_<PLUS>_<type> are disabled.
// These options have no effect on GrB_eWiseAdd, GrB_eWiseMult,
// GrB_*_build, or GrB_apply. They do affect GrB_reduce to vector, which
// converts the reduction of a vector into a matrix-vector multiplication.
// Any disabled semirings will still work just fine, but operations using them
// will be slower.
//------------------------------------------------------------
// semirings with the boolean EQ monoid (also called XNOR)
//------------------------------------------------------------
// The only builtin GrB_* semiring that uses the EQ (LXNOR) monoid
// is LXNOR_LOR_BOOL == EQ_LOR_BOOL.
// 6 semirings with the EQ monoid
// #define GxB_NO_EQ_EQ_BOOL 1
// #define GxB_NO_EQ_LAND_BOOL 1
// builtin: GrB_LXNOR_LOR_SEMIRING_BOOL == GxB_EQ_LOR_BOOL:
// #define GxB_NO_EQ_LOR_BOOL 1
// #define GxB_NO_EQ_LXOR_BOOL 1
// FIRST and SECOND are needed by GrB_reduce to vector:
// #define GxB_NO_EQ_FIRST_BOOL 1
// #define GxB_NO_EQ_SECOND_BOOL 1
#define GxB_NO_EQ_EQ_FP32 1
#define GxB_NO_EQ_EQ_FP64 1
#define GxB_NO_EQ_EQ_INT16 1
#define GxB_NO_EQ_EQ_INT32 1
#define GxB_NO_EQ_EQ_INT64 1
#define GxB_NO_EQ_EQ_INT8 1
#define GxB_NO_EQ_EQ_UINT16 1
#define GxB_NO_EQ_EQ_UINT32 1
#define GxB_NO_EQ_EQ_UINT64 1
#define GxB_NO_EQ_EQ_UINT8 1
#define GxB_NO_EQ_EQ_FC32 1
#define GxB_NO_EQ_EQ_FC64 1
#define GxB_NO_EQ_ANY_BOOL 1
#define GxB_NO_EQ_GE_BOOL 1
#define GxB_NO_EQ_GE_FP32 1
#define GxB_NO_EQ_GE_FP64 1
#define GxB_NO_EQ_GE_INT16 1
#define GxB_NO_EQ_GE_INT32 1
#define GxB_NO_EQ_GE_INT64 1
#define GxB_NO_EQ_GE_INT8 1
#define GxB_NO_EQ_GE_UINT16 1
#define GxB_NO_EQ_GE_UINT32 1
#define GxB_NO_EQ_GE_UINT64 1
#define GxB_NO_EQ_GE_UINT8 1
#define GxB_NO_EQ_GT_BOOL 1
#define GxB_NO_EQ_GT_FP32 1
#define GxB_NO_EQ_GT_FP64 1
#define GxB_NO_EQ_GT_INT16 1
#define GxB_NO_EQ_GT_INT32 1
#define GxB_NO_EQ_GT_INT64 1
#define GxB_NO_EQ_GT_INT8 1
#define GxB_NO_EQ_GT_UINT16 1
#define GxB_NO_EQ_GT_UINT32 1
#define GxB_NO_EQ_GT_UINT64 1
#define GxB_NO_EQ_GT_UINT8 1
#define GxB_NO_EQ_LE_BOOL 1
#define GxB_NO_EQ_LE_FP32 1
#define GxB_NO_EQ_LE_FP64 1
#define GxB_NO_EQ_LE_INT16 1
#define GxB_NO_EQ_LE_INT32 1
#define GxB_NO_EQ_LE_INT64 1
#define GxB_NO_EQ_LE_INT8 1
#define GxB_NO_EQ_LE_UINT16 1
#define GxB_NO_EQ_LE_UINT32 1
#define GxB_NO_EQ_LE_UINT64 1
#define GxB_NO_EQ_LE_UINT8 1
#define GxB_NO_EQ_LT_BOOL 1
#define GxB_NO_EQ_LT_FP32 1
#define GxB_NO_EQ_LT_FP64 1
#define GxB_NO_EQ_LT_INT16 1
#define GxB_NO_EQ_LT_INT32 1
#define GxB_NO_EQ_LT_INT64 1
#define GxB_NO_EQ_LT_INT8 1
#define GxB_NO_EQ_LT_UINT16 1
#define GxB_NO_EQ_LT_UINT32 1
#define GxB_NO_EQ_LT_UINT64 1
#define GxB_NO_EQ_LT_UINT8 1
#define GxB_NO_EQ_NE_FP32 1
#define GxB_NO_EQ_NE_FP64 1
#define GxB_NO_EQ_NE_INT16 1
#define GxB_NO_EQ_NE_INT32 1
#define GxB_NO_EQ_NE_INT64 1
#define GxB_NO_EQ_NE_INT8 1
#define GxB_NO_EQ_NE_UINT16 1
#define GxB_NO_EQ_NE_UINT32 1
#define GxB_NO_EQ_NE_UINT64 1
#define GxB_NO_EQ_NE_UINT8 1
#define GxB_NO_EQ_NE_FC32 1
#define GxB_NO_EQ_NE_FC64 1
//------------------------------------------------------------
// semirings with the boolean LAND monoid
//------------------------------------------------------------
// The only builtin GrB_* semiring that uses the LAND monoid is LAND_LOR_BOOL
// 6 semirings with the LAND monoid
// #define GxB_NO_LAND_EQ_BOOL 1
// #define GxB_NO_LAND_LAND_BOOL 1
// builtin: GrB_LAND_LOR_SEMIRING_BOOL == GxB_LAND_LOR_BOOL:
// #define GxB_NO_LAND_LOR_BOOL 1
// #define GxB_NO_LAND_LXOR_BOOL 1
// FIRST and SECOND are needed by GrB_reduce to vector:
// #define GxB_NO_LAND_FIRST_BOOL 1
// #define GxB_NO_LAND_SECOND_BOOL 1
#define GxB_NO_LAND_EQ_FP32 1
#define GxB_NO_LAND_EQ_FP64 1
#define GxB_NO_LAND_EQ_INT16 1
#define GxB_NO_LAND_EQ_INT32 1
#define GxB_NO_LAND_EQ_INT64 1
#define GxB_NO_LAND_EQ_INT8 1
#define GxB_NO_LAND_EQ_UINT16 1
#define GxB_NO_LAND_EQ_UINT32 1
#define GxB_NO_LAND_EQ_UINT64 1
#define GxB_NO_LAND_EQ_UINT8 1
#define GxB_NO_LAND_EQ_FC32 1
#define GxB_NO_LAND_EQ_FC64 1
#define GxB_NO_LAND_ANY_BOOL 1
#define GxB_NO_LAND_GE_BOOL 1
#define GxB_NO_LAND_GE_FP32 1
#define GxB_NO_LAND_GE_FP64 1
#define GxB_NO_LAND_GE_INT16 1
#define GxB_NO_LAND_GE_INT32 1
#define GxB_NO_LAND_GE_INT64 1
#define GxB_NO_LAND_GE_INT8 1
#define GxB_NO_LAND_GE_UINT16 1
#define GxB_NO_LAND_GE_UINT32 1
#define GxB_NO_LAND_GE_UINT64 1
#define GxB_NO_LAND_GE_UINT8 1
#define GxB_NO_LAND_GT_BOOL 1
#define GxB_NO_LAND_GT_FP32 1
#define GxB_NO_LAND_GT_FP64 1
#define GxB_NO_LAND_GT_INT16 1
#define GxB_NO_LAND_GT_INT32 1
#define GxB_NO_LAND_GT_INT64 1
#define GxB_NO_LAND_GT_INT8 1
#define GxB_NO_LAND_GT_UINT16 1
#define GxB_NO_LAND_GT_UINT32 1
#define GxB_NO_LAND_GT_UINT64 1
#define GxB_NO_LAND_GT_UINT8 1
#define GxB_NO_LAND_LE_BOOL 1
#define GxB_NO_LAND_LE_FP32 1
#define GxB_NO_LAND_LE_FP64 1
#define GxB_NO_LAND_LE_INT16 1
#define GxB_NO_LAND_LE_INT32 1
#define GxB_NO_LAND_LE_INT64 1
#define GxB_NO_LAND_LE_INT8 1
#define GxB_NO_LAND_LE_UINT16 1
#define GxB_NO_LAND_LE_UINT32 1
#define GxB_NO_LAND_LE_UINT64 1
#define GxB_NO_LAND_LE_UINT8 1
#define GxB_NO_LAND_LT_BOOL 1
#define GxB_NO_LAND_LT_FP32 1
#define GxB_NO_LAND_LT_FP64 1
#define GxB_NO_LAND_LT_INT16 1