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function codegen_sel
%CODEGEN_SEL create functions for all selection operators
%
% This function creates all files of the form GB_sel__*.c,
% and the include file GB_sel__include.h.
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
fprintf ('\nselection operators:\n') ;
addpath ('../Test') ;
f = fopen ('Generated1/GB_sel__include.h', 'w') ;
fprintf (f, '//------------------------------------------------------------------------------\n') ;
fprintf (f, '// GB_sel__include.h: definitions for GB_sel__*.c\n') ;
fprintf (f, '//------------------------------------------------------------------------------\n') ;
fprintf (f, '\n') ;
fprintf (f, '// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.\n') ;
fprintf (f, '// SPDX-License-Identifier: Apache-2.0\n\n') ;
fprintf (f, '// This file has been automatically generated from Generator/GB_sel.h') ;
fprintf (f, '\n\n') ;
fclose (f) ;
%===============================================================================
% select ops where A is either iso or non-iso
%===============================================================================
%-------------------------------------------------------------------------------
% USER selectop:
%-------------------------------------------------------------------------------
fprintf ('\nselop ') ;
% user select op, A is not iso, no typecasting
test_value {1} = 'GxB_select_function selop_func = op->selop_function ;' ;
test_value {2} = 'bool keep = selop_func (flipij ? j : i, flipij ? i : j, Ax +(p)*asize, ythunk)' ;
codegen_sel_method ('user', test_value, 'GB_void') ;
% user select op, A is iso, no typecasting
test_value {1} = 'GxB_select_function selop_func = op->selop_function ;' ;
test_value {2} = 'bool keep = selop_func (flipij ? j : i, flipij ? i : j, Ax, ythunk)' ;
codegen_sel_method ('user', test_value, 'GB_void', [ ], 1) ;
%-------------------------------------------------------------------------------
% GrB_IndexUnaryOp:
%-------------------------------------------------------------------------------
fprintf ('\nidxunop ') ;
% index_unaryop op, A is not iso, with typecasting
s1 = 'GxB_index_unary_function idxunop_func = op->idxunop_function ; ' ;
s2 = 'GB_cast_function cast_A_to_X = GB_cast_factory (xcode, acode) ; ' ;
s3 = 'GB_cast_function cast_Z_to_bool = GB_cast_factory (GB_BOOL_code, zcode) ; ' ;
test_value {1} = [s1 s2 s3] ;
zx = 'GB_void z [GB_VLA(zsize)] ; GB_void x [GB_VLA(xsize)] ; ' ;
ca = 'cast_A_to_X (x, Ax +(p)*asize, asize) ; ' ;
fn = 'idxunop_func (z, x, flipij ? j : i, flipij ? i : j, ythunk) ; ' ;
ke = 'bool keep ; cast_Z_to_bool (&keep, z, zsize) ;' ;
test_value {2} = [zx ca fn ke] ;
codegen_sel_method ('idxunop_cast', test_value, 'GB_void') ;
% index_unaryop op, A is not iso, no typecasting
s1 = 'GxB_index_unary_function idxunop_func = op->idxunop_function ; ' ;
test_value {1} = [s1] ;
test_value {2} = 'bool keep ; idxunop_func (&keep, Ax +(p)*asize, flipij ? j : i, flipij ? i : j, ythunk) ; ' ;
codegen_sel_method ('idxunop', test_value, 'GB_void') ;
% index_unaryop op, A is iso, with typecasting
s1 = 'GxB_index_unary_function idxunop_func = op->idxunop_function ; ' ;
s2 = 'GB_void x [GB_VLA(xsize)] ; GB_cast_scalar (x, xcode, A->x, acode, A->type->size) ; ' ;
s3 = 'GB_cast_function cast_Z_to_bool = GB_cast_factory (GB_BOOL_code, zcode) ; ' ;
test_value {1} = [s1 s2 s3] ;
zx = 'GB_void z [GB_VLA(zsize)] ; ' ;
fn = 'idxunop_func (z, x, flipij ? j : i, flipij ? i : j, ythunk) ; ' ;
ke = 'bool keep ; cast_Z_to_bool (&keep, z, zsize) ;' ;
test_value {2} = [zx fn ke] ;
codegen_sel_method ('idxunop_cast', test_value, 'GB_void', [ ], 1) ;
% index_unaryop op, A is iso, no typecast
s1 = 'GxB_index_unary_function idxunop_func = op->idxunop_function ; ' ;
s2 = 'GB_void x [GB_VLA(xsize)] ; GB_cast_scalar (x, xcode, A->x, acode, A->type->size) ; ' ;
test_value {1} = [s1 s2] ;
test_value {2} = 'bool keep ; idxunop_func (&keep, x, flipij ? j : i, flipij ? i : j, ythunk) ; ' ;
codegen_sel_method ('idxunop', test_value, 'GB_void', [ ], 1) ;
%-------------------------------------------------------------------------------
% TRIL, TRIU, DIAG, OFFIDIAG, ...
%-------------------------------------------------------------------------------
fprintf ('\ntril ') ;
codegen_sel_method ('tril' , [ ], 'GB_void' , 'GB_TRIL_SELECTOR' ) ;
codegen_sel_method ('tril' , [ ], 'GB_void' , 'GB_TRIL_SELECTOR' , 1) ;
fprintf ('\ntriu ') ;
codegen_sel_method ('triu' , [ ], 'GB_void' , 'GB_TRIU_SELECTOR' ) ;
codegen_sel_method ('triu' , [ ], 'GB_void' , 'GB_TRIU_SELECTOR' , 1) ;
fprintf ('\ndiag ') ;
codegen_sel_method ('diag' , [ ], 'GB_void' , 'GB_DIAG_SELECTOR' ) ;
codegen_sel_method ('diag' , [ ], 'GB_void' , 'GB_DIAG_SELECTOR' , 1) ;
fprintf ('\noffdiag ') ;
codegen_sel_method ('offdiag' , [ ], 'GB_void' , 'GB_OFFDIAG_SELECTOR' ) ;
codegen_sel_method ('offdiag' , [ ], 'GB_void' , 'GB_OFFDIAG_SELECTOR' , 1) ;
fprintf ('\nrowindex ') ;
codegen_sel_method ('rowindex' , [ ], 'GB_void' , 'GB_ROWINDEX_SELECTOR') ;
codegen_sel_method ('rowindex' , [ ], 'GB_void' , 'GB_ROWINDEX_SELECTOR', 1) ;
fprintf ('\nrowle ') ; % was called resize
codegen_sel_method ('rowle' , [ ], 'GB_void' , 'GB_ROWLE_SELECTOR' ) ;
codegen_sel_method ('rowle' , [ ], 'GB_void' , 'GB_ROWLE_SELECTOR' , 1) ;
fprintf ('\nrowgt ') ;
codegen_sel_method ('rowgt' , [ ], 'GB_void' , 'GB_ROWGT_SELECTOR' ) ;
codegen_sel_method ('rowgt' , [ ], 'GB_void' , 'GB_ROWGT_SELECTOR' , 1) ;
fprintf ('\ncolindex ') ;
codegen_sel_method ('colindex' , [ ], 'GB_void' , 'GB_COLINDEX_SELECTOR') ;
codegen_sel_method ('colindex' , [ ], 'GB_void' , 'GB_COLINDEX_SELECTOR', 1) ;
fprintf ('\ncolle ') ; % was called resize
codegen_sel_method ('colle' , [ ], 'GB_void' , 'GB_COLLE_SELECTOR' ) ;
codegen_sel_method ('colle' , [ ], 'GB_void' , 'GB_COLLE_SELECTOR' , 1) ;
fprintf ('\ncolgt ') ;
codegen_sel_method ('colgt' , [ ], 'GB_void' , 'GB_COLGT_SELECTOR' ) ;
codegen_sel_method ('colgt' , [ ], 'GB_void' , 'GB_COLGT_SELECTOR' , 1) ;
% NONZOMBIE: name selector type
% phase1: depends on Ai only, so only nonzombie_iso is used
% phase2: use all 15 workers
% TODO NONZOMBIE can use cases 1, 2, 4, 8, 16, other
fprintf ('\nnonzombie ') ;
test_value = 'bool keep = (Ai [p] >= 0)' ;
codegen_sel_method ('nonzombie', test_value, 'bool' ) ;
codegen_sel_method ('nonzombie', test_value, 'int8_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'int16_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'int32_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'int64_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'uint8_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'uint16_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'uint32_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'uint64_t' ) ;
codegen_sel_method ('nonzombie', test_value, 'float' ) ;
codegen_sel_method ('nonzombie', test_value, 'double' ) ;
codegen_sel_method ('nonzombie', test_value, 'GxB_FC32_t') ;
codegen_sel_method ('nonzombie', test_value, 'GxB_FC64_t') ;
codegen_sel_method ('nonzombie', test_value, 'GB_void' ) ;
codegen_sel_method ('nonzombie', test_value, 'GB_void' , [ ], 1) ;
%===============================================================================
% select ops with no iso variants
%===============================================================================
% None of these selectops require an iso variant for the selectop worker. They
% are only used when A is non-iso. The iso case is handled in GB_selector,
% where either C is all of A, or C is empty.
% TODO NONZERO, EQ_ZERO, NE_THUNK, EQ_THUNK can use cases 1, 2, 4, 8, 16, other
% NONZERO name selector type
fprintf ('\nnonzero ') ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p])', 'bool' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'int8_t' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'int16_t' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'int32_t' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'int64_t' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'uint8_t' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'uint16_t') ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'uint32_t') ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'uint64_t') ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'float' ) ;
codegen_sel_method ('nonzero' , 'bool keep = (Ax [p] != 0)', 'double' ) ;
codegen_sel_method ('nonzero' , 'bool keep = GB_FC32_ne0 (Ax [p])', 'GxB_FC32_t') ;
codegen_sel_method ('nonzero' , 'bool keep = GB_FC64_ne0 (Ax [p])', 'GxB_FC64_t') ;
codegen_sel_method ('nonzero' , 'bool keep = GB_is_nonzero (Ax +((p)*asize), asize)', 'GB_void') ;
% EQ_ZERO name selector type
fprintf ('\neq_zero ') ;
codegen_sel_method ('eq_zero' , 'bool keep = (!(Ax [p]))', 'bool' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'int8_t' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'int16_t' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'int32_t' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'int64_t' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'uint8_t' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'uint16_t') ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'uint32_t') ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'uint64_t') ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'float' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = (Ax [p] == 0)', 'double' ) ;
codegen_sel_method ('eq_zero' , 'bool keep = GB_FC32_eq0 (Ax [p])', 'GxB_FC32_t') ;
codegen_sel_method ('eq_zero' , 'bool keep = GB_FC64_eq0 (Ax [p])', 'GxB_FC64_t') ;
codegen_sel_method ('eq_zero' , 'bool keep = (!GB_is_nonzero (Ax +((p)*asize), asize))', 'GB_void') ;
% GT_ZERO name selector type
fprintf ('\ngt_zero ') ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'int8_t' ) ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'int16_t' ) ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'int32_t' ) ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'int64_t' ) ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'float' ) ;
codegen_sel_method ('gt_zero' , 'bool keep = (Ax [p] > 0)', 'double' ) ;
% GE_ZERO name selector type
fprintf ('\nge_zero ') ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'int8_t' ) ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'int16_t' ) ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'int32_t' ) ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'int64_t' ) ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'float' ) ;
codegen_sel_method ('ge_zero' , 'bool keep = (Ax [p] >= 0)', 'double' ) ;
% LT_ZERO name selector type
fprintf ('\nlt_zero ') ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'int8_t' ) ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'int16_t' ) ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'int32_t' ) ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'int64_t' ) ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'float' ) ;
codegen_sel_method ('lt_zero' , 'bool keep = (Ax [p] < 0)', 'double' ) ;
% LE_ZERO name selector type
fprintf ('\nle_zero ') ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'int8_t' ) ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'int16_t' ) ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'int32_t' ) ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'int64_t' ) ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'float' ) ;
codegen_sel_method ('le_zero' , 'bool keep = (Ax [p] <= 0)', 'double' ) ;
% NE_THUNK name selector type
fprintf ('\nne_thunk ') ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'int8_t' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'int16_t' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'int32_t' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'int64_t' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'uint8_t' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'uint16_t') ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'uint32_t') ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'uint64_t') ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'float' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = (Ax [p] != thunk)', 'double' ) ;
codegen_sel_method ('ne_thunk' , 'bool keep = GB_FC32_ne (Ax [p], thunk)', 'GxB_FC32_t') ;
codegen_sel_method ('ne_thunk' , 'bool keep = GB_FC64_ne (Ax [p], thunk)', 'GxB_FC64_t') ;
codegen_sel_method ('ne_thunk' , 'bool keep = (memcmp (Ax +((p)*asize), athunk, asize) != 0)', 'GB_void') ;
% EQ_THUNK name selector type
fprintf ('\neq_thunk ') ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'int8_t' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'int16_t' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'int32_t' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'int64_t' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'uint8_t' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'uint16_t') ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'uint32_t') ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'uint64_t') ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'float' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = (Ax [p] == thunk)', 'double' ) ;
codegen_sel_method ('eq_thunk' , 'bool keep = GB_FC32_eq (Ax [p], thunk)', 'GxB_FC32_t') ;
codegen_sel_method ('eq_thunk' , 'bool keep = GB_FC64_eq (Ax [p], thunk)', 'GxB_FC64_t') ;
codegen_sel_method ('eq_thunk' , 'bool keep = (memcmp (Ax +((p)*asize), athunk, asize) == 0)', 'GB_void') ;
% GT_THUNK name selector type
fprintf ('\ngt_thunk ') ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'int8_t' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'int16_t' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'int32_t' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'int64_t' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'uint8_t' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'uint16_t') ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'uint32_t') ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'uint64_t') ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'float' ) ;
codegen_sel_method ('gt_thunk' , 'bool keep = (Ax [p] > thunk)', 'double' ) ;
% GE_THUNK name selector type
fprintf ('\nge_thunk ') ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'int8_t' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'int16_t' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'int32_t' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'int64_t' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'uint8_t' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'uint16_t') ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'uint32_t') ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'uint64_t') ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'float' ) ;
codegen_sel_method ('ge_thunk' , 'bool keep = (Ax [p] >= thunk)', 'double' ) ;
% LT_THUNK name selector type
fprintf ('\nlt_thunk ') ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'int8_t' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'int16_t' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'int32_t' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'int64_t' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'uint8_t' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'uint16_t') ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'uint32_t') ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'uint64_t') ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'float' ) ;
codegen_sel_method ('lt_thunk' , 'bool keep = (Ax [p] < thunk)', 'double' ) ;
% LE_THUNK name selector type
fprintf ('\nle_thunk ') ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'int8_t' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'int16_t' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'int32_t' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'int64_t' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'uint8_t' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'uint16_t') ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'uint32_t') ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'uint64_t') ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'float' ) ;
codegen_sel_method ('le_thunk' , 'bool keep = (Ax [p] <= thunk)', 'double' ) ;
fprintf ('\n') ;
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