68 Commits

Author SHA1 Message Date
Craig Topper
8a7843ca0f
[RISCV] Add 16 bit GPR sub-register for Zhinx. (#107446)
This patches adds a 16 bit register class for use with Zhinx
instructions. This makes them more similar to Zfh instructions and
allows us to only spill 16 bits.

I've added CodeGenOnly instructions for load/store using GPRF16 as that
gave better results than insert_subreg/extract_subreg. I'm using FSGNJ
for GPRF16 copy with Zhinx as that gave better results. Zhinxmin will
use ADDI+subreg operations.

Function arguments use this new GPRF16 register class for f16 arguments
with Zhinxmin. Eliminating the need to use RISCVISD::FMV* nodes.

I plan to extend this idea to Zfinx next.
2024-09-26 22:56:12 -07:00
Craig Topper
8c05515032
[LegalizeIntegerTypes] Simplify ExpandIntRes_FP_TO_XINT when operand needs to be SoftPromoted. (#107634)
Create an FP_EXTEND instead of handling the soft promote directly. This
FP_EXTEND will be visited and soft promoted itself.

This removes a zero extend from the generated code when the f32 type is
itself softened. Previously we softened it as an fp16_to_fp which sees
the operand as an integer type so we extend it. When we soften the
result as an fp_extend we see the source as f16 and don't extend. It
only becomes an integer inside call lowering not by type legalization.

If this extend is really necessary, then we have an issue when an
f16->f32 fp_extend exists in the source and f32 needs to be softened.

This simplifies part of #102503.
2024-09-12 08:28:06 -07:00
Craig Topper
49660e5565
[RISCV] Pass f32/f64 directly without a bitcast for Zfinx/Zdinx. (#107464)
With Zfinx/Zdinx, f32/f64 are legal types for a GPR, we don't need a
bitcast.

This avoids turning fneg/fabs into bitwise operations purely because of
these bitcasts. If the bitwise operations are faster for some reason on
a Zfinx CPU, then that seems like it should be done for all fneg/fabs,
not just ones near function arguments/returns.

I don't have much interest in Zfinx, this just makes the code more
similar to what I proposed for Zhinx in #107446.
2024-09-06 15:50:29 -07:00
Craig Topper
13013bdc6a
[RISCV] Don't cost Fmv for Zfinx in isFPImmLegal. (#107361)
There is no Fmv with Zfinx.
2024-09-05 08:42:13 -07:00
Craig Topper
db3792b87a
[RISCV] Custom promote f16/bf16 fp_to_(s/u)int to reduce isel patterns that emit two instructions. (#107011)
All of the test changes are because integer type legalization prefers to promote
fp_to_uint to fp_to_sint if neither is "Legal".
2024-09-03 15:34:25 -07:00
Craig Topper
ec8e1c623a
[RISCV] Custom promote f16/bf16 (s/u)int_to_fp. (#107026)
This avoids having isel patterns that emit two instrutions. It also
allows us to remove sext.w and slli+srli pairs by using fcvt.s.w(u) on
RV64.
2024-09-03 13:33:14 -07:00
Craig Topper
0a4e1c518b [RISCV] Add some Zfinx instructions to hasAllNBitUsers. 2024-08-08 17:33:54 -07:00
Bjorn Pettersson
55c6bda01e Revert "Revert "[SelectionDAG] Handle more opcodes in canCreateUndefOrPoison (#84921)" and more..."
This reverts commit 16bd10a38730fed27a3bf111076b8ef7a7e7b3ee.

Re-applies:
    b3c55b707110084a9f50a16aade34c3be6fa18da - "[SelectionDAG] Handle more opcodes in canCreateUndefOrPoison (#84921)"
    8e2f6495c0bac1dd6ee32b6a0d24152c9c343624 - "[DAGCombiner] Do not always fold FREEZE over BUILD_VECTOR (#85932)"
    73472c5996716cda0dbb3ddb788304e0e7e6a323 - "[SelectionDAG] Treat CopyFromReg as freezing the value (#85932)"

with a fix in DAGCombiner::visitFREEZE.
2024-04-29 13:08:52 +02:00
David Spickett
16bd10a387 Revert "[SelectionDAG] Handle more opcodes in canCreateUndefOrPoison (#84921)" and more...
This reverts:
b3c55b707110084a9f50a16aade34c3be6fa18da - "[SelectionDAG] Handle more opcodes in canCreateUndefOrPoison (#84921)"
(because it updates a test case that I don't know how to resolve the conflict for)
8e2f6495c0bac1dd6ee32b6a0d24152c9c343624 - "[DAGCombiner] Do not always fold FREEZE over BUILD_VECTOR (#85932)"
73472c5996716cda0dbb3ddb788304e0e7e6a323 - "[SelectionDAG] Treat CopyFromReg as freezing the value (#85932)"

Due to a test suite failure on AArch64 when compiling for SVE.
https://lab.llvm.org/buildbot/#/builders/197/builds/13955

clang: ../llvm/llvm/include/llvm/CodeGen/ValueTypes.h:307: MVT llvm::EVT::getSimpleVT() const: Assertion `isSimple() && "Expected a SimpleValueType!"' failed.
2024-04-29 09:47:41 +01:00
Bjorn Pettersson
73472c5996 [SelectionDAG] Treat CopyFromReg as freezing the value (#85932)
The description of CopyFromReg in ISDOpcodes.h says that the input
valus is defined outside the scope of the current SelectionDAG. I
think that means that we basically can treat it as a FREEZE in the
sense that it can be seen as neither being undef nor poison.

Being able to fold freeze(CopyFromReg) into CopyFromReg seems
useful to avoid regressions if we start to introduce freeze
instruction in DAGCombiner/foldBoolSelectToLogic, e.g. to solve
https://github.com/llvm/llvm-project/issues/84653

Things _not_ dealt with in this patch:
- Depending on calling convention an input argument can be passed
  also on the stack and not in a register. If it is allowed to treat
  an argument received in a register as not being poison, then I think
  we want to treat arguments received on the stack the same way. But
  then we need to attribute load instructions, or add explicit FREEZE
  when lowering formal arguments.
- A common pattern is that there is an AssertZext or AssertSext just
  after CopyFromReg. I think that if we treat CopyFromReg as never
  being poison, then it should be allowed to fold
     (freeze(AssertZext(CopyFromReg))) -> AssertZext(CopyFromReg))
2024-04-26 13:41:21 +02:00
laichunfeng
6b80e2fef5
[mi-sched] Suppress register pressure with i64. (#88256)
Machine scheduler will suppress register pressure when the scheduling
window is too small, but now it doesn't consider i64 register type,
and this MR extends it into i64 register type, so architecture like
RISCV64 that only supports i64 interger register will have the same
behavior like RISCV32.
2024-04-15 13:11:45 +08:00
Craig Topper
ce37a7131f
[RISCV] Add integer RISCVISD::SELECT_CC to canCreateUndefOrPoison and isGuaranteedNotToBeUndefOrPoison. (#84693)
Integer RISCVISD::SELECT_CC doesn't create poison. If none of the,
operands are poison, the result is not poison.

This allows ISD::FREEZE to be hoisted above RISCVISD::SELECT_CC.
2024-03-25 11:10:58 -07:00
Craig Topper
576d81baa5
[RISCV] Use REG_SEQUENCE/EXTRACT_SUBREG to move between individual GPRs and GPRPair. (#85887)
Previously we used memory like we do to move between GPRs and FPR64 with
the D extension on RV32.

We can instead use REG_SEQUENCE/EXTRACT_SUBREG to inform register
allocation how to do the copy without memory.
2024-03-20 08:44:24 -07:00
Craig Topper
6b270358c7
[SelectionDAG] Allow FREEZE to be hoisted before FP SETCC. (#84358)
No nans/infs in SelectionDAG is complicated. Hopefully I've captured
all of the cases. I've only applied to ConsiderFlags to the SDNodeFlags
since those are the only ones that will be droped by hoisting. The
condition code and TargetOptions would still be in effect.
    
Recovers some regression from #84232.
2024-03-08 17:21:21 -08:00
Craig Topper
909ab0e0d1
[RISCV] Insert a freeze before converting select to AND/OR. (#84232)
Select blocks poison, but AND/OR do not. We need to insert a freeze
to block poison propagation.

This creates suboptimal codegen which I will try to fix with other
patches. I'm prioritizing the correctness fix since we have 2 bug reports.

Fixes #84200 and #84350
2024-03-07 15:03:51 -08:00
Fangrui Song
eabaee0c59
[RISCV] Omit "@plt" in assembly output "call foo@plt" (#72467)
R_RISCV_CALL/R_RISCV_CALL_PLT distinction is not necessary and
R_RISCV_CALL has been deprecated. Since https://reviews.llvm.org/D132530
`call foo` assembles to R_RISCV_CALL_PLT. The `@plt` suffix is not
useful and can be removed now (matching AArch64 and PowerPC).

GNU assembler assembles `call foo` to RISCV_CALL_PLT since 2022-09
(70f35d72ef04cd23771875c1661c9975044a749c).

Without this patch, unconditionally changing MO_CALL to MO_PLT could
create `jump .L1@plt, a0`, which is invalid in LLVM integrated assembler
and GNU assembler.
2024-01-07 12:09:44 -08:00
Jay Foad
7b3bbd83c0 Revert "[CodeGen] Really renumber slot indexes before register allocation (#67038)"
This reverts commit 2501ae58e3bb9a70d279a56d7b3a0ed70a8a852c.

Reverted due to various buildbot failures.
2023-10-09 12:31:32 +01:00
Jay Foad
2501ae58e3
[CodeGen] Really renumber slot indexes before register allocation (#67038)
PR #66334 tried to renumber slot indexes before register allocation, but
the numbering was still affected by list entries for instructions which
had been erased. Fix this to make the register allocator's live range
length heuristics even less dependent on the history of how instructions
have been added to and removed from SlotIndexes's maps.
2023-10-09 11:44:41 +01:00
Philip Reames
8624075105
[RISCV] Strip W suffix from ADDIW (#68425)
The motivation of this change is simply to reduce test duplication. As
can be seen in the (massive) test delta, we have many tests whose output
differ only due to the use of addi on rv32 vs addiw on rv64 when the
high bits are don't care.

As an aside, we don't need to worry about the non-zero immediate
restriction on the compressed variants because we're not directly
forming the compressed variants. If we happen to get a zero immediate
for the ADDI, then either a later optimization will strip the useless
instruction or the encoder is responsible for not compressing the
instruction.
2023-10-06 10:28:01 -07:00
Jim Lin
37b474a20e [RISCV] Remove unused check prefixes for tests. NFC
Also remove the warning line for that these prefixes are unused.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D156048
2023-07-24 13:42:49 +08:00
Craig Topper
ee34fa0032 [RISCV] Add DAG combine for (fmv_w_x_rv64 (fmv_x_anyextw_rv64 X))
This pattern started showing up more after D151284
2023-07-05 19:35:13 -07:00
Alex Bradbury
5ba40c7be3 [RISCV] Custom lower FP_TO_FP16 and FP16_TO_FP to correct ABI of of libcall
As introduced in D99148, RISC-V uses the softPromoteHalf legalisation
for fp16 values without zfh, with logic ensuring that f16 values are
passed in lower bits of FPRs (see D98670) when F or D support is
present. This legalisation produces ISD::FP_TO_FP16 and ISD::FP16_TO_FP
nodes which (as described in ISDOpcodes.h) provide a "semi-softened
interface for dealing with f16 (as an i16)". i.e. the return type of the
FP_TO_FP16 is an integer rather than a float (and the arg of FP16_TO_FP
is an integer). The remainder of the description focuses primarily on
FP_TO_FP16 for ease of explanation.

FP_TO_FP16 is lowered to a libcall to `__truncsfhf2 (float)` or
`__truncdfhf2 (double)`. As of D92241, `_Float16` is used as the return
type of these libcalls if the host compiler accepts `_Float16` in a test
input (i.e. dst_t is set to `_Float16`). `_Float16` is enabled for the
RISC-V target as of D105001 and so the return value should be passed in
an FPR on hard float ABIs.

This patch fixes the ABI issue in what appears to be a minimally
invasive way - leaving the softPromoteHalf logic undisturbed, and
lowering FP_TO_FP16 to an f32-returning libcall, converting its result
to an XLen integer value.

As can be seen in the test changes, the custom lowering for FP16_TO_FP
means the libcall is no longer tail-callable.

Although this patch fixes the issue, there are two open items:
* Redundant fmv.x.w and fmv.w.x pairs are now somtimes produced during
  lowering (not a correctness issue).
* Now coverage for STRICT variants of FP16 conversion opcodes.

Differential Revision: https://reviews.llvm.org/D151284
2023-06-30 16:41:49 +01:00
Alex Bradbury
ee5aaa8e6c [RISCV][test] Add additional RUN lines to half-convert.ll in preparation for D151824
There wasn't previous coverage for rv32id-ilp32, rv64id-lp64,
rv32id-ilp32d, or rv64id-lp64d. This is needed as D151284 fixes a bug
related to the ABI used for libcalls for fp<->fp16 conversion when hard
FP support is present.
2023-06-30 16:41:49 +01:00
Alex Bradbury
c4efcd6970 [RISCV] Generalise shouldExtendTypeInLibcall logic to apply to all <XLEN floats on soft ABIs
This results in improved codegen for half/bf16 libcalls on soft ABIs

Adds a RISCVSubtarget helper method for determining if a soft FP ABI is
being targeted (future bf16 related patches make use of this).

Differential Revision: https://reviews.llvm.org/D151434
2023-05-30 11:04:03 +01:00
Shao-Ce SUN
8b90f8e04b [RISCV][CodeGen] Support Zdinx on RV32 codegen
This patch was split from D122918 .

Co-Author: @StephenFan @liaolucy @realqhc

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D149743
2023-05-25 14:13:37 +08:00
Qihan Cai
773b0aaa49 [RISCV][CodeGen] Support Zhinx and Zhinxmin
This patch was split from D122918.

Co-Author: @liaolucy @sunshaoce

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D149811
2023-05-12 18:31:35 +10:00
Craig Topper
df017ba9d3 [TargetLowering] Don't use ISD::SELECT_CC in expandFP_TO_INT_SAT.
This function gets called for vectors and ISD::SELECT_CC was never
intended to support vectors. Some updates were made to support
it when this function started getting used for vectors.

Overall, using separate ISD::SETCC and ISD::SELECT looks like an
improvement even for scalar.

Reviewed By: RKSimon

Differential Revision: https://reviews.llvm.org/D149481
2023-04-29 10:23:08 -07:00
Craig Topper
7b0c41841e [RISCV] Move compressible registers to the beginning of the FP allocation order.
We don't have very many compressible FP instructions, just load and store.
These instruction require the FP register to be f8-f15.

This patch changes the FP allocation order to prioritize f10-f15 first.
These are also the FP argument registers. So I allocated them in reverse
order starting at f15 to avoid taking the first argument registers.
This appears to match gcc allocation order.

Reviewed By: asb

Differential Revision: https://reviews.llvm.org/D146488
2023-03-27 17:29:28 -07:00
LiaoChunyu
fc9730376c [RISCV]Optimize (riscvisd::select_cc x, 0, ne, x, 1)
This patch reduces the number of unpredictable branches.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D146117
2023-03-16 10:56:26 +08:00
Han-Kuan Chen
d02b9869b2 [RISCV] Don't use constantpool for floating-point value if the value can be easily constructed by integer sequence and a floating-point move.
In addition, this commit does the following combine

vfmv.v.f + fmv.[dhw].x -> vmv.v.x
vfmv.s.f + fmv.[dhw].x -> vmv.s.x
vfmerge.vfm + fmv.[dhw].x -> vmerge.vxm

Differential Revision: https://reviews.llvm.org/D142953
2023-02-03 22:42:08 -08:00
Nikita Popov
1456b68686 [RISCV] Convert some tests to opaque pointers (NFC) 2022-12-19 13:01:08 +01:00
Nitin John Raj
d741a31a39 [RISCV][CodeGen][SelectionDAG] Recursively check hasAllNBitUsers for logical machine opcodes
We don’t have W versions of AND/OR/XOR/ANDN/ORN/XNOR so we should recursively check their users. We should limit the recursion to SelectionDAG::MaxRecursionDepth levels.

We need to add a Depth argument, all existing callers should pass 0 to the Depth. The new recursive calls should increment it by 1. At the top of the function we should give up and return false if Depth >= SelectionDAG::MaxRecursionDepth.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D139462
2022-12-14 15:15:30 -08:00
Monk Chiang
7b50c18360 [RISCV] Codegen support for Zfhmin.
The Zfhmin subset only has FLH, FSH, FMV.X.H, FMV.H.X, FCVT.S.H, and FCVT.H.S.
If the D extension is present, the FCVT.D.H and FCVT.H.D instructions are also included.
Since most instructions are not included for Zfhmin, so most operations are promoted.
The patch primarily about making f16 a legal type.

RISC-V ISA info:
https://wiki.riscv.org/display/HOME/Recently+Ratified+Extensions

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D139391
2022-12-06 22:14:15 -08:00
Craig Topper
e00e20a055 [RISCV] Add ADDW/AND/OR/XOR/SUB/SUBW to getRegAllocHints.
These instructions requires both register operands to be compressible
so I've only applied the hint if we already have a GPRC physical register
assigned for the other register operand.

Reviewed By: reames

Differential Revision: https://reviews.llvm.org/D139079
2022-12-01 11:09:38 -08:00
Craig Topper
a2b5b584a5 [RISCV] Use register allocation hints to improve use of compressed instructions.
Compressed instructions usually require one of the source registers
to also be the source register. The register allocator doesn't have
that bias on its own.

This patch adds register allocation hints to introduce this bias.
I've started with ADDI, ADDIW, and SLLI. These all have a 5-bit
field for the register. If the source and dest register are the
same they are guaranteed to compress as long as the immediate is
also 6 bits.

This code was inspired by similar code from the SystemZ target.

Reviewed By: reames

Differential Revision: https://reviews.llvm.org/D138242
2022-11-25 08:39:44 -08:00
LiaoChunyu
7b970290c0 [RISCV] Optimize SELECT_CC when the true value of select is Constant
(select (setcc lhs, rhs, CC), constant, falsev) -> (select (setcc lhs, rhs, InverseCC), falsev, constant)

This patch removes unnecessary copies

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D129757
2022-10-18 09:24:17 +08:00
Craig Topper
e68b0d5875 [RISCV] Match (select C, -1, X)->(or -C, X) during lowerSelect
Same with (select C, X, -1), (select C, 0, X), and (select C, X, 0).

There's a DAGCombine after we turn the select into select_cc, but
that may introduce a setcc that didn't previously exist. We could
add more DAGCombines to remove the extra setcc, but this seemed lower
effort.

Reviewed By: reames

Differential Revision: https://reviews.llvm.org/D135833
2022-10-13 09:06:12 -07:00
Philip Reames
1c41d0cb62 [RISCV] Use branchless form for selects with 0 in either arm
Continuing the theme of adding branchless lowerings for simple selects, this time handle the 0 arm case. This is very common for various umin idioms, etc..

Differential Revision: https://reviews.llvm.org/D135600
2022-10-12 13:51:52 -07:00
Philip Reames
79f0413e5e [RISCV] Use branchless form for selects with -1 in either arm
We can lower these as an or with the negative of the condition value. This appears to result in significantly less branch-y code on multiple common idioms (as seen in tests).

Differential Revision: https://reviews.llvm.org/D135316
2022-10-06 15:18:43 -07:00
Craig Topper
5224bae613 [RISCV] Fix a bug in i32 FP_TO_UINT_SAT lowering on RV64.
We use the saturating behavior of fcvt.wu.h/s/d but forgot to
take into account that fcvt.wu will sign extend the saturated
result. According to computeKnownBits a promoted FP_TO_UINT_SAT
is expected to zero extend the saturated value.

In many case the upper bits aren't be demanded so this wouldn't
be an issue. But if we computeKnownBits caused an AND to be removed
it would be a bug.

This patch inserts an AND during to zero the upper bits.

Unfortunately, this pessimizes code if we aren't able to tell if
the upper bits are demanded. To fix that we could custom type
promote the FP_TO_UINT_SAT with SEXT_INREG after it, but I'll
leave that for future work.

I haven't found a failure from this, I was revisiting the code to
add vector support and spotted it.

Differential Revision: https://reviews.llvm.org/D133746
2022-09-13 08:41:32 -07:00
Craig Topper
b14b0b5213 [RISCV] Add test cases with result of fp_to_s/uint_sat sign/zero-extended from i32 to i64. NFC
I believe the result for fp_to_uint_sat is incorrect for this case.
2022-09-12 20:27:25 -07:00
Craig Topper
450edb0b37 [RISCV] Explicitly select second operand of branch condition to X0.
At least based on the lit tests, the coalescer sometimes fails to
propagate the copy from X0 into the branch instruction. This patch
does it manually during isel. The majority of the changes are from
the select patterns.

Some of the changes are just register allocation changes. Only
the Select change affects the whether a b*z instruction is generated
in the tests. I changed the branch pattern for consistency.

Reviewed By: asb

Differential Revision: https://reviews.llvm.org/D130809
2022-08-01 11:16:48 -07:00
Shao-Ce SUN
84bacb18c6 [RISCV] Use check-prefixes to reduce check lines
Reviewed By: frasercrmck

Differential Revision: https://reviews.llvm.org/D125083
2022-06-06 15:59:15 +08:00
Craig Topper
1d8bbe3d25 [RISCV] Implement a basic version of AArch64RedundantCopyElimination pass.
Using AArch64's original implementation for reference, this patch
implements a pass to remove unneeded copies of X0. This pass runs
after register allocation and looks to see if a register is implied
to be 0 by a branch in the predecessor basic block.

Reviewed By: asb

Differential Revision: https://reviews.llvm.org/D118160
2022-02-04 10:43:46 -08:00
Kito Cheng
a9d5bb926d [RISCV] Use __extendhfsf2/__truncsfhf2 for fp16 <-> fp32
`__gnu_h2f_ieee` and `__gnu_f2h_ieee` are introduce by ARM and set that as
default name for fp16 and fp32 conversion in LLVM.

However RISC-V GCC using default naming scheme for that, which is
`__extendhfsf2` and `__truncsfhf2` for that, that cause runtime ABI
incompatible issue.

Although we didn't have formal runtime ABI spec to specify those naming
convention yet, but I think it would be great to fix the incompatible
issue first.

And I've plan to create a runtime ABI spec undere psABI spec this year.

Reviewed By: asb

Differential Revision: https://reviews.llvm.org/D118207
2022-01-29 00:01:00 +08:00
wangpc
8def89b5dc [RISCV] Set CostPerUse to 1 iff RVC is enabled
After D86836, we can define multiple cost values for
different cost models. So here we set CostPerUse to
1 iff RVC is enabled to avoid potential impact on RA.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D117741
2022-01-21 14:44:26 +08:00
Shao-Ce SUN
a0a76fee0c [RISCV] update zfh and zfhmin extention to v1.0
`zfh` and `zfhmin` have been ratified, with version 1.0.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D117098
2022-01-15 09:21:24 +08:00
Haocong.Lu
bd653f6406 [RISCV] Use shift for zero extension when Zbb and Zbp are not enabled
Now AND is used for zero extension when both Zbb and Zbp are not enabled.
It may be better to use shift operation if the trailing ones mask exceeds simm12.

This patch optimzes LUI+ADDI+AND to SLLI+SRLI.

Reviewed By: craig.topper

Differential Revision: https://reviews.llvm.org/D116720
2022-01-11 02:37:03 +00:00
Craig Topper
a500f7f48f [SelectionDAG] Add FP_TO_UINT_SAT/FP_TO_SINT_SAT to computeKnownBits/computeNumSignBits.
These nodes should saturate to their saturating VT. We can use this
information to know the bits past the VT are all zeros or all sign bits.

I think we might only have test coverage for the unsigned case. I'll
verify and add tests.

Reviewed By: nikic

Differential Revision: https://reviews.llvm.org/D116870
2022-01-09 17:48:05 -08:00
Craig Topper
6a10bc7056 [RISCV] Add i8/i16 fptosi/fptoui and fptosi_sat/fptoui_sat tests. NFC
Use signext/zeroext return attributes to show unnecessary ands or
shifts in the saturating tests.
2022-01-08 14:01:31 -08:00