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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-19 02:57:58 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-19 02:57:58 +0000
commitbe1c7e50e1e8809ea56f2c9d472eccd8ffd73a97 (patch)
tree9754ff1ca740f6346cf8483ec915d4054bc5da2d /libnetdata/libjudy/src/JudyL/JudyL.h
parentInitial commit. (diff)
downloadnetdata-upstream/1.44.3.tar.xz
netdata-upstream/1.44.3.zip
Adding upstream version 1.44.3.upstream/1.44.3upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
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+#ifndef _JUDYL_INCLUDED
+#define _JUDYL_INCLUDED
+// _________________
+//
+// Copyright (C) 2000 - 2002 Hewlett-Packard Company
+//
+// This program is free software; you can redistribute it and/or modify it
+// under the term of the GNU Lesser General Public License as published by the
+// Free Software Foundation; either version 2 of the License, or (at your
+// option) any later version.
+//
+// This program is distributed in the hope that it will be useful, but WITHOUT
+// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+// FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License
+// for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with this program; if not, write to the Free Software Foundation,
+// Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+// _________________
+
+// @(#) $Revision: 4.41 $ $Source: /judy/src/JudyL/JudyL.h $
+
+// ****************************************************************************
+// JUDYL -- SMALL/LARGE AND/OR CLUSTERED/SPARSE ARRAYS
+//
+// -by-
+//
+// Douglas L. Baskins
+// doug@sourcejudy.com
+//
+// Judy arrays are designed to be used instead of arrays. The performance
+// suggests the reason why Judy arrays are thought of as arrays, instead of
+// trees. They are remarkably memory efficient at all populations.
+// Implemented as a hybrid digital tree (but really a state machine, see
+// below), Judy arrays feature fast insert/retrievals, fast near neighbor
+// searching, and contain a population tree for extremely fast ordinal related
+// retrievals.
+//
+// CONVENTIONS:
+//
+// - The comments here refer to 32-bit [64-bit] systems.
+//
+// - BranchL, LeafL refer to linear branches and leaves (small populations),
+// except LeafL does not actually appear as such; rather, Leaf1..3 [Leaf1..7]
+// is used to represent leaf Index sizes, and LeafW refers to a Leaf with
+// full (Long) word Indexes, which is also a type of linear leaf. Note that
+// root-level LeafW (Leaf4 [Leaf8]) leaves are called LEAFW.
+//
+// - BranchB, LeafB1 refer to bitmap branches and leaves (intermediate
+// populations).
+//
+// - BranchU refers to uncompressed branches. An uncompressed branch has 256
+// JPs, some of which could be null. Note: All leaves are compressed (and
+// sorted), or else an expanse is full (FullPopu), so there is no LeafU
+// equivalent to BranchU.
+//
+// - "Popu" is short for "Population".
+// - "Pop1" refers to actual population (base 1).
+// - "Pop0" refers to Pop1 - 1 (base 0), the way populations are stored in data
+// structures.
+//
+// - Branches and Leaves are both named by the number of bytes in their Pop0
+// field. In the case of Leaves, the same number applies to the Index sizes.
+//
+// - The representation of many numbers as hex is a relatively safe and
+// portable way to get desired bitpatterns as unsigned longs.
+//
+// - Some preprocessors cant handle single apostrophe characters within
+// #ifndef code, so here, delete all instead.
+
+
+#include "JudyPrivate.h" // includes Judy.h in turn.
+#include "JudyPrivateBranch.h" // support for branches.
+
+
+// ****************************************************************************
+// JUDYL ROOT POINTER (JRP) AND JUDYL POINTER (JP) TYPE FIELDS
+// ****************************************************************************
+
+typedef enum // uint8_t -- but C does not support this type of enum.
+{
+
+// JP NULL TYPES:
+//
+// There is a series of cJL_JPNULL* Types because each one pre-records a
+// different Index Size for when the first Index is inserted in the previously
+// null JP. They must start >= 8 (three bits).
+//
+// Note: These Types must be in sequential order for doing relative
+// calculations between them.
+
+ cJL_JPNULL1 = 1,
+ // Index Size 1[1] byte when 1 Index inserted.
+ cJL_JPNULL2, // Index Size 2[2] bytes when 1 Index inserted.
+ cJL_JPNULL3, // Index Size 3[3] bytes when 1 Index inserted.
+
+#ifndef JU_64BIT
+#define cJL_JPNULLMAX cJL_JPNULL3
+#else
+ cJL_JPNULL4, // Index Size 4[4] bytes when 1 Index inserted.
+ cJL_JPNULL5, // Index Size 5[5] bytes when 1 Index inserted.
+ cJL_JPNULL6, // Index Size 6[6] bytes when 1 Index inserted.
+ cJL_JPNULL7, // Index Size 7[7] bytes when 1 Index inserted.
+#define cJL_JPNULLMAX cJL_JPNULL7
+#endif
+
+
+// JP BRANCH TYPES:
+//
+// Note: There are no state-1 branches; only leaves reside at state 1.
+
+// Linear branches:
+//
+// Note: These Types must be in sequential order for doing relative
+// calculations between them.
+
+ cJL_JPBRANCH_L2, // 2[2] bytes Pop0, 1[5] bytes Dcd.
+ cJL_JPBRANCH_L3, // 3[3] bytes Pop0, 0[4] bytes Dcd.
+
+#ifdef JU_64BIT
+ cJL_JPBRANCH_L4, // [4] bytes Pop0, [3] bytes Dcd.
+ cJL_JPBRANCH_L5, // [5] bytes Pop0, [2] bytes Dcd.
+ cJL_JPBRANCH_L6, // [6] bytes Pop0, [1] byte Dcd.
+ cJL_JPBRANCH_L7, // [7] bytes Pop0, [0] bytes Dcd.
+#endif
+
+ cJL_JPBRANCH_L, // note: DcdPopO field not used.
+
+// Bitmap branches:
+//
+// Note: These Types must be in sequential order for doing relative
+// calculations between them.
+
+ cJL_JPBRANCH_B2, // 2[2] bytes Pop0, 1[5] bytes Dcd.
+ cJL_JPBRANCH_B3, // 3[3] bytes Pop0, 0[4] bytes Dcd.
+
+#ifdef JU_64BIT
+ cJL_JPBRANCH_B4, // [4] bytes Pop0, [3] bytes Dcd.
+ cJL_JPBRANCH_B5, // [5] bytes Pop0, [2] bytes Dcd.
+ cJL_JPBRANCH_B6, // [6] bytes Pop0, [1] byte Dcd.
+ cJL_JPBRANCH_B7, // [7] bytes Pop0, [0] bytes Dcd.
+#endif
+
+ cJL_JPBRANCH_B, // note: DcdPopO field not used.
+
+// Uncompressed branches:
+//
+// Note: These Types must be in sequential order for doing relative
+// calculations between them.
+
+ cJL_JPBRANCH_U2, // 2[2] bytes Pop0, 1[5] bytes Dcd.
+ cJL_JPBRANCH_U3, // 3[3] bytes Pop0, 0[4] bytes Dcd.
+
+#ifdef JU_64BIT
+ cJL_JPBRANCH_U4, // [4] bytes Pop0, [3] bytes Dcd.
+ cJL_JPBRANCH_U5, // [5] bytes Pop0, [2] bytes Dcd.
+ cJL_JPBRANCH_U6, // [6] bytes Pop0, [1] byte Dcd.
+ cJL_JPBRANCH_U7, // [7] bytes Pop0, [0] bytes Dcd.
+#endif
+
+ cJL_JPBRANCH_U, // note: DcdPopO field not used.
+
+
+// JP LEAF TYPES:
+
+// Linear leaves:
+//
+// Note: These Types must be in sequential order for doing relative
+// calculations between them.
+//
+// Note: There is no full-word (4-byte [8-byte]) Index leaf under a JP because
+// non-root-state leaves only occur under branches that decode at least one
+// byte. Full-word, root-state leaves are under a JRP, not a JP. However, in
+// the code a "fake" JP can be created temporarily above a root-state leaf.
+
+ cJL_JPLEAF1, // 1[1] byte Pop0, 2 bytes Dcd.
+ cJL_JPLEAF2, // 2[2] bytes Pop0, 1[5] bytes Dcd.
+ cJL_JPLEAF3, // 3[3] bytes Pop0, 0[4] bytes Dcd.
+
+#ifdef JU_64BIT
+ cJL_JPLEAF4, // [4] bytes Pop0, [3] bytes Dcd.
+ cJL_JPLEAF5, // [5] bytes Pop0, [2] bytes Dcd.
+ cJL_JPLEAF6, // [6] bytes Pop0, [1] byte Dcd.
+ cJL_JPLEAF7, // [7] bytes Pop0, [0] bytes Dcd.
+#endif
+
+// Bitmap leaf; Index Size == 1:
+//
+// Note: These are currently only supported at state 1. At other states the
+// bitmap would grow from 256 to 256^2, 256^3, ... bits, which would not be
+// efficient..
+
+ cJL_JPLEAF_B1, // 1[1] byte Pop0, 2[6] bytes Dcd.
+
+// Full population; Index Size == 1 virtual leaf:
+//
+// Note: JudyL has no cJL_JPFULLPOPU1 equivalent to cJ1_JPFULLPOPU1, because
+// in the JudyL case this could result in a values-only leaf of up to 256 words
+// (value areas) that would be slow to insert/delete.
+
+
+// JP IMMEDIATES; leaves (Indexes) stored inside a JP:
+//
+// The second numeric suffix is the Pop1 for each type. As the Index Size
+// increases, the maximum possible population decreases.
+//
+// Note: These Types must be in sequential order in each group (Index Size),
+// and the groups in correct order too, for doing relative calculations between
+// them. For example, since these Types enumerate the Pop1 values (unlike
+// other JP Types where there is a Pop0 value in the JP), the maximum Pop1 for
+// each Index Size is computable.
+//
+// All enums equal or above this point are cJL_JPIMMEDs.
+
+ cJL_JPIMMED_1_01, // Index Size = 1, Pop1 = 1.
+ cJL_JPIMMED_2_01, // Index Size = 2, Pop1 = 1.
+ cJL_JPIMMED_3_01, // Index Size = 3, Pop1 = 1.
+
+#ifdef JU_64BIT
+ cJL_JPIMMED_4_01, // Index Size = 4, Pop1 = 1.
+ cJL_JPIMMED_5_01, // Index Size = 5, Pop1 = 1.
+ cJL_JPIMMED_6_01, // Index Size = 6, Pop1 = 1.
+ cJL_JPIMMED_7_01, // Index Size = 7, Pop1 = 1.
+#endif
+
+ cJL_JPIMMED_1_02, // Index Size = 1, Pop1 = 2.
+ cJL_JPIMMED_1_03, // Index Size = 1, Pop1 = 3.
+
+#ifdef JU_64BIT
+ cJL_JPIMMED_1_04, // Index Size = 1, Pop1 = 4.
+ cJL_JPIMMED_1_05, // Index Size = 1, Pop1 = 5.
+ cJL_JPIMMED_1_06, // Index Size = 1, Pop1 = 6.
+ cJL_JPIMMED_1_07, // Index Size = 1, Pop1 = 7.
+
+ cJL_JPIMMED_2_02, // Index Size = 2, Pop1 = 2.
+ cJL_JPIMMED_2_03, // Index Size = 2, Pop1 = 3.
+
+ cJL_JPIMMED_3_02, // Index Size = 3, Pop1 = 2.
+#endif
+
+// This special Type is merely a sentinel for doing relative calculations.
+// This value should not be used in switch statements (to avoid allocating code
+// for it), which is also why it appears at the end of the enum list.
+
+ cJL_JPIMMED_CAP
+
+} jpL_Type_t;
+
+
+// RELATED VALUES:
+
+// Index Size (state) for leaf JP, and JP type based on Index Size (state):
+
+#define JL_LEAFINDEXSIZE(jpType) ((jpType) - cJL_JPLEAF1 + 1)
+#define JL_LEAFTYPE(IndexSize) ((IndexSize) + cJL_JPLEAF1 - 1)
+
+
+// MAXIMUM POPULATIONS OF LINEAR LEAVES:
+
+#ifndef JU_64BIT // 32-bit
+
+#define J_L_MAXB (sizeof(Word_t) * 64)
+#define ALLOCSIZES { 3, 5, 7, 11, 15, 23, 32, 47, 64, TERMINATOR } // in words.
+#define cJL_LEAF1_MAXWORDS (32) // max Leaf1 size in words.
+
+// Note: cJL_LEAF1_MAXPOP1 is chosen such that the index portion is less than
+// 32 bytes -- the number of bytes the index takes in a bitmap leaf.
+
+#define cJL_LEAF1_MAXPOP1 \
+ ((cJL_LEAF1_MAXWORDS * cJU_BYTESPERWORD)/(1 + cJU_BYTESPERWORD))
+#define cJL_LEAF2_MAXPOP1 (J_L_MAXB / (2 + cJU_BYTESPERWORD))
+#define cJL_LEAF3_MAXPOP1 (J_L_MAXB / (3 + cJU_BYTESPERWORD))
+#define cJL_LEAFW_MAXPOP1 \
+ ((J_L_MAXB - cJU_BYTESPERWORD) / (2 * cJU_BYTESPERWORD))
+
+#else // 64-bit
+
+#define J_L_MAXB (sizeof(Word_t) * 64)
+#define ALLOCSIZES { 3, 5, 7, 11, 15, 23, 32, 47, 64, TERMINATOR } // in words.
+#define cJL_LEAF1_MAXWORDS (15) // max Leaf1 size in words.
+
+#define cJL_LEAF1_MAXPOP1 \
+ ((cJL_LEAF1_MAXWORDS * cJU_BYTESPERWORD)/(1 + cJU_BYTESPERWORD))
+#define cJL_LEAF2_MAXPOP1 (J_L_MAXB / (2 + cJU_BYTESPERWORD))
+#define cJL_LEAF3_MAXPOP1 (J_L_MAXB / (3 + cJU_BYTESPERWORD))
+#define cJL_LEAF4_MAXPOP1 (J_L_MAXB / (4 + cJU_BYTESPERWORD))
+#define cJL_LEAF5_MAXPOP1 (J_L_MAXB / (5 + cJU_BYTESPERWORD))
+#define cJL_LEAF6_MAXPOP1 (J_L_MAXB / (6 + cJU_BYTESPERWORD))
+#define cJL_LEAF7_MAXPOP1 (J_L_MAXB / (7 + cJU_BYTESPERWORD))
+#define cJL_LEAFW_MAXPOP1 \
+ ((J_L_MAXB - cJU_BYTESPERWORD) / (2 * cJU_BYTESPERWORD))
+
+#endif // 64-bit
+
+
+// MAXIMUM POPULATIONS OF IMMEDIATE JPs:
+//
+// These specify the maximum Population of immediate JPs with various Index
+// Sizes (== sizes of remaining undecoded Index bits). Since the JP Types enum
+// already lists all the immediates in order by state and size, calculate these
+// values from it to avoid redundancy.
+
+#define cJL_IMMED1_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 1) // 3 [7].
+#define cJL_IMMED2_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 2) // 1 [3].
+#define cJL_IMMED3_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 3) // 1 [2].
+
+#ifdef JU_64BIT
+#define cJL_IMMED4_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 4) // [1].
+#define cJL_IMMED5_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 5) // [1].
+#define cJL_IMMED6_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 6) // [1].
+#define cJL_IMMED7_MAXPOP1 ((cJU_BYTESPERWORD - 1) / 7) // [1].
+#endif
+
+
+// ****************************************************************************
+// JUDYL LEAF BITMAP (JLLB) SUPPORT
+// ****************************************************************************
+//
+// Assemble bitmap leaves out of smaller units that put bitmap subexpanses
+// close to their associated pointers. Why not just use a bitmap followed by a
+// series of pointers? (See 4.27.) Turns out this wastes a cache fill on
+// systems with smaller cache lines than the assumed value cJU_WORDSPERCL.
+
+#define JL_JLB_BITMAP(Pjlb, Subexp) ((Pjlb)->jLlb_jLlbs[Subexp].jLlbs_Bitmap)
+#define JL_JLB_PVALUE(Pjlb, Subexp) ((Pjlb)->jLlb_jLlbs[Subexp].jLlbs_PValue)
+
+typedef struct J__UDYL_LEAF_BITMAP_SUBEXPANSE
+{
+ BITMAPL_t jLlbs_Bitmap;
+ Pjv_t jLlbs_PValue;
+
+} jLlbs_t;
+
+typedef struct J__UDYL_LEAF_BITMAP
+{
+ jLlbs_t jLlb_jLlbs[cJU_NUMSUBEXPL];
+
+} jLlb_t, * PjLlb_t;
+
+// Words per bitmap leaf:
+
+#define cJL_WORDSPERLEAFB1 (sizeof(jLlb_t) / cJU_BYTESPERWORD)
+
+
+// ****************************************************************************
+// MEMORY ALLOCATION SUPPORT
+// ****************************************************************************
+
+// ARRAY-GLOBAL INFORMATION:
+//
+// At the cost of an occasional additional cache fill, this object, which is
+// pointed at by a JRP and in turn points to a JP_BRANCH*, carries array-global
+// information about a JudyL array that has sufficient population to amortize
+// the cost. The jpm_Pop0 field prevents having to add up the total population
+// for the array in insert, delete, and count code. The jpm_JP field prevents
+// having to build a fake JP for entry to a state machine; however, the
+// jp_DcdPopO field in jpm_JP, being one byte too small, is not used.
+//
+// Note: Struct fields are ordered to keep "hot" data in the first 8 words
+// (see left-margin comments) for machines with 8-word cache lines, and to keep
+// sub-word fields together for efficient packing.
+
+typedef struct J_UDYL_POPULATION_AND_MEMORY
+{
+/* 1 */ Word_t jpm_Pop0; // total population-1 in array.
+/* 2 */ jp_t jpm_JP; // JP to first branch; see above.
+/* 4 */ Word_t jpm_LastUPop0; // last jpm_Pop0 when convert to BranchU
+/* 7 */ Pjv_t jpm_PValue; // pointer to value to return.
+// Note: Field names match PJError_t for convenience in macros:
+/* 8 */ char je_Errno; // one of the enums in Judy.h.
+/* 8/9 */ int je_ErrID; // often an internal source line number.
+/* 9/10 */ Word_t jpm_TotalMemWords; // words allocated in array.
+} jLpm_t, *PjLpm_t;
+
+
+// TABLES FOR DETERMINING IF LEAVES HAVE ROOM TO GROW:
+//
+// These tables indicate if a given memory chunk can support growth of a given
+// object into wasted (rounded-up) memory in the chunk. Note: This violates
+// the hiddenness of the JudyMalloc code.
+
+extern const uint8_t j__L_Leaf1PopToWords[cJL_LEAF1_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf2PopToWords[cJL_LEAF2_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf3PopToWords[cJL_LEAF3_MAXPOP1 + 1];
+#ifdef JU_64BIT
+extern const uint8_t j__L_Leaf4PopToWords[cJL_LEAF4_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf5PopToWords[cJL_LEAF5_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf6PopToWords[cJL_LEAF6_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf7PopToWords[cJL_LEAF7_MAXPOP1 + 1];
+#endif
+extern const uint8_t j__L_LeafWPopToWords[cJL_LEAFW_MAXPOP1 + 1];
+extern const uint8_t j__L_LeafVPopToWords[];
+
+// These tables indicate where value areas start:
+
+extern const uint8_t j__L_Leaf1Offset [cJL_LEAF1_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf2Offset [cJL_LEAF2_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf3Offset [cJL_LEAF3_MAXPOP1 + 1];
+#ifdef JU_64BIT
+extern const uint8_t j__L_Leaf4Offset [cJL_LEAF4_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf5Offset [cJL_LEAF5_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf6Offset [cJL_LEAF6_MAXPOP1 + 1];
+extern const uint8_t j__L_Leaf7Offset [cJL_LEAF7_MAXPOP1 + 1];
+#endif
+extern const uint8_t j__L_LeafWOffset [cJL_LEAFW_MAXPOP1 + 1];
+
+// Also define macros to hide the details in the code using these tables.
+
+#define JL_LEAF1GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF1_MAXPOP1, j__L_Leaf1PopToWords)
+#define JL_LEAF2GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF2_MAXPOP1, j__L_Leaf2PopToWords)
+#define JL_LEAF3GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF3_MAXPOP1, j__L_Leaf3PopToWords)
+#ifdef JU_64BIT
+#define JL_LEAF4GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF4_MAXPOP1, j__L_Leaf4PopToWords)
+#define JL_LEAF5GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF5_MAXPOP1, j__L_Leaf5PopToWords)
+#define JL_LEAF6GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF6_MAXPOP1, j__L_Leaf6PopToWords)
+#define JL_LEAF7GROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAF7_MAXPOP1, j__L_Leaf7PopToWords)
+#endif
+#define JL_LEAFWGROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJL_LEAFW_MAXPOP1, j__L_LeafWPopToWords)
+#define JL_LEAFVGROWINPLACE(Pop1) \
+ J__U_GROWCK(Pop1, cJU_BITSPERSUBEXPL, j__L_LeafVPopToWords)
+
+#define JL_LEAF1VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf1Offset[Pop1])
+#define JL_LEAF2VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf2Offset[Pop1])
+#define JL_LEAF3VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf3Offset[Pop1])
+#ifdef JU_64BIT
+#define JL_LEAF4VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf4Offset[Pop1])
+#define JL_LEAF5VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf5Offset[Pop1])
+#define JL_LEAF6VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf6Offset[Pop1])
+#define JL_LEAF7VALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_Leaf7Offset[Pop1])
+#endif
+#define JL_LEAFWVALUEAREA(Pjv,Pop1) (((PWord_t)(Pjv)) + j__L_LeafWOffset[Pop1])
+
+#define JL_LEAF1POPTOWORDS(Pop1) (j__L_Leaf1PopToWords[Pop1])
+#define JL_LEAF2POPTOWORDS(Pop1) (j__L_Leaf2PopToWords[Pop1])
+#define JL_LEAF3POPTOWORDS(Pop1) (j__L_Leaf3PopToWords[Pop1])
+#ifdef JU_64BIT
+#define JL_LEAF4POPTOWORDS(Pop1) (j__L_Leaf4PopToWords[Pop1])
+#define JL_LEAF5POPTOWORDS(Pop1) (j__L_Leaf5PopToWords[Pop1])
+#define JL_LEAF6POPTOWORDS(Pop1) (j__L_Leaf6PopToWords[Pop1])
+#define JL_LEAF7POPTOWORDS(Pop1) (j__L_Leaf7PopToWords[Pop1])
+#endif
+#define JL_LEAFWPOPTOWORDS(Pop1) (j__L_LeafWPopToWords[Pop1])
+#define JL_LEAFVPOPTOWORDS(Pop1) (j__L_LeafVPopToWords[Pop1])
+
+
+// FUNCTIONS TO ALLOCATE OBJECTS:
+
+PjLpm_t j__udyLAllocJLPM(void); // constant size.
+
+Pjbl_t j__udyLAllocJBL( PjLpm_t); // constant size.
+Pjbb_t j__udyLAllocJBB( PjLpm_t); // constant size.
+Pjp_t j__udyLAllocJBBJP(Word_t, PjLpm_t);
+Pjbu_t j__udyLAllocJBU( PjLpm_t); // constant size.
+
+Pjll_t j__udyLAllocJLL1( Word_t, PjLpm_t);
+Pjll_t j__udyLAllocJLL2( Word_t, PjLpm_t);
+Pjll_t j__udyLAllocJLL3( Word_t, PjLpm_t);
+
+#ifdef JU_64BIT
+Pjll_t j__udyLAllocJLL4( Word_t, PjLpm_t);
+Pjll_t j__udyLAllocJLL5( Word_t, PjLpm_t);
+Pjll_t j__udyLAllocJLL6( Word_t, PjLpm_t);
+Pjll_t j__udyLAllocJLL7( Word_t, PjLpm_t);
+#endif
+
+Pjlw_t j__udyLAllocJLW( Word_t ); // no PjLpm_t needed.
+PjLlb_t j__udyLAllocJLB1( PjLpm_t); // constant size.
+Pjv_t j__udyLAllocJV( Word_t, PjLpm_t);
+
+
+// FUNCTIONS TO FREE OBJECTS:
+
+void j__udyLFreeJLPM( PjLpm_t, PjLpm_t); // constant size.
+
+void j__udyLFreeJBL( Pjbl_t, PjLpm_t); // constant size.
+void j__udyLFreeJBB( Pjbb_t, PjLpm_t); // constant size.
+void j__udyLFreeJBBJP(Pjp_t, Word_t, PjLpm_t);
+void j__udyLFreeJBU( Pjbu_t, PjLpm_t); // constant size.
+
+void j__udyLFreeJLL1( Pjll_t, Word_t, PjLpm_t);
+void j__udyLFreeJLL2( Pjll_t, Word_t, PjLpm_t);
+void j__udyLFreeJLL3( Pjll_t, Word_t, PjLpm_t);
+
+#ifdef JU_64BIT
+void j__udyLFreeJLL4( Pjll_t, Word_t, PjLpm_t);
+void j__udyLFreeJLL5( Pjll_t, Word_t, PjLpm_t);
+void j__udyLFreeJLL6( Pjll_t, Word_t, PjLpm_t);
+void j__udyLFreeJLL7( Pjll_t, Word_t, PjLpm_t);
+#endif
+
+void j__udyLFreeJLW( Pjlw_t, Word_t, PjLpm_t);
+void j__udyLFreeJLB1( PjLlb_t, PjLpm_t); // constant size.
+void j__udyLFreeJV( Pjv_t, Word_t, PjLpm_t);
+void j__udyLFreeSM( Pjp_t, PjLpm_t); // everything below Pjp.
+
+#endif // ! _JUDYL_INCLUDED