Re: Fix a case in which the vector cost model was ignored

2019-03-19 Thread Bernhard Reutner-Fischer
On Tue, 19 Mar 2019 08:47:49 +
Richard Sandiford  wrote:

> > ... this identical condition, AFAICS?
> > So this second conditions else arm should be dead, shouldn't it?  
> 
> Yeah, that's what:
> 
>   /* ??? The "if" arm is written to handle all cases; see below for what
>  we would do for !LOOP_VINFO_FULLY_MASKED_P.  */

Ok, i somehow managed not to correlate this comment to the inner if's
else. It's been late. Sorry for the noise!

thanks,
> 
> was trying to say.  Like I mentioned in the covering note, in principle
> the approach of calculating the minimum number of vector iterations
> should work for all cases, and we might want to consider doing that
> for stage 1.  I wanted to show what the !LOOP_VINFO_FULLY_MASKED_P
> code would look like if we did that.
> 
> I'd wondered about putting the inner else in an #if 0 or comment instead,
> but this way makes it easier to experiment with.
> 
> Thanks,
> Richard



Re: Fix a case in which the vector cost model was ignored

2019-03-19 Thread Richard Sandiford
Bernhard Reutner-Fischer  writes:
> On 18 March 2019 10:58:53 CET, Richard Sandiford  
> wrote:
>>This patch fixes a case in which we vectorised something with a
>>fully-predicated loop even after the cost model had rejected it.
>>E.g. the loop in the testcase has the costs:
>>
>>  Vector inside of loop cost: 27
>>  Vector prologue cost: 0
>>  Vector epilogue cost: 0
>>  Scalar iteration cost: 7
>>  Scalar outside cost: 6
>>  Vector outside cost: 0
>>  prologue iterations: 0
>>  epilogue iterations: 0
>>
>>and we can see that the loop executes at most three times, but we
>>decided to vectorise it anyway.
>>
>>(The costs here are equal for three iterations, but the same thing
>>happens even when the vector code is strictly more expensive.)
>>
>>The problem is the handling of "/VF" in:
>>
>>  /* Calculate number of iterations required to make the vector version
>> profitable, relative to the loop bodies only.  The following condition
>> must hold true:
>> SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
>> where
>> SIC = scalar iteration cost, VIC = vector iteration cost,
>> VOC = vector outside cost, VF = vectorization factor,
>> PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
>> SOC = scalar outside cost for run time cost model check.  */
>>
>>We treat the "/VF" as truncating, but for fully-predicated loops, it's
>>closer to a ceil division, since fractional iterations are handled by a
>>full iteration with some predicate bits set to false.
>>
>>The easiest fix seemed to be to calculate the minimum number of vector
>>iterations first, then use that to calculate the minimum number of
>>scalar
>>iterations.
>>
>>Calculating the minimum number of vector iterations might make sense
>>for
>>unpredicated loops too, since calculating the scalar niters directly
>>doesn't take into account the fact that the VIC multiple has to be an
>>integer.  But the handling of PL_ITERS and EP_ITERS for unpredicated
>>loops is a bit hand-wavy anyway, so maybe vagueness here cancels out
>>vagueness there?
>>
>>Either way, changing this for unpredicated loops would be much too
>>invasive for stage 4, so the patch keeps it specific to
>>fully-predicated
>>loops (i.e. SVE) for now.  There's no functional change for other
>>targets.
>>
>>Tested on aarch64-linux-gnu with and without SVE, and on
>>x86_64-linux-gnu.
>>This is a regression introduced by the original cost model patches for
>>fully-predicated loops, so OK for GCC 9?
>>
>>Thanks,
>>Richard
>>
>>
>>2019-03-18  Richard Sandiford  
>>
>>gcc/
>>  * tree-vect-loop.c (vect_estimate_min_profitable_iters): Fix the
>>  calculation of the minimum number of scalar iterations for
>>  fully-predicated loops.
>>
>>gcc/testsuite/
>>  * gcc.target/aarch64/sve/cost_model_1.c: New test.
>>
>>Index: gcc/tree-vect-loop.c
>>===
>>--- gcc/tree-vect-loop.c  2019-03-08 18:15:33.668751875 +
>>+++ gcc/tree-vect-loop.c  2019-03-18 09:55:03.257194326 +
>>@@ -3600,14 +3600,89 @@ vect_estimate_min_profitable_iters (loop
>>  /* Calculate number of iterations required to make the vector version
>> profitable, relative to the loop bodies only.  The following condition
>>  must hold true:
>>- SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
>>+ SIC * niters + SOC > VIC * ((niters - NPEEL) / VF) + VOC
>>  where
>>  SIC = scalar iteration cost, VIC = vector iteration cost,
>>  VOC = vector outside cost, VF = vectorization factor,
>>- PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
>>+ NPEEL = prologue iterations + epilogue iterations,
>>  SOC = scalar outside cost for run time cost model check.  */
>> 
>>-  if ((scalar_single_iter_cost * assumed_vf) > (int) vec_inside_cost)
>>+  int saving_per_viter = (scalar_single_iter_cost * assumed_vf
>>+   - vec_inside_cost);
>>+  if (saving_per_viter <= 0)
>>+{
>>+  if (LOOP_VINFO_LOOP (loop_vinfo)->force_vectorize)
>>+ warning_at (vect_location.get_location_t (), OPT_Wopenmp_simd,
>>+ "vectorization did not happen for a simd loop");
>>+
>>+  if (dump_enabled_p ())
>>+dump_printf_loc (MSG_MISSED_OPTIMIZATION, vect_location,
>>+  "cost model: the vector iteration cost = %d "
>>+  "divided by the scalar iteration cost = %d "
>>+  "is greater or equal to the vectorization factor = %d"
>>+ ".\n",
>>+  vec_inside_cost, scalar_single_iter_cost, assumed_vf);
>>+  *ret_min_profitable_niters = -1;
>>+  *ret_min_profitable_estimate = -1;
>>+  return;
>>+}
>>+
>>+  /* ??? The "if" arm is written to handle all cases; see below for
>>what
>>+ we would do for !LOOP_VINFO_FULLY_MASKED_P.  */
>>+  if (LOOP_VINFO_FULLY_MASKED_P (loop_vinfo))
>>+{
>
> The condition above seems to 

Re: Fix a case in which the vector cost model was ignored

2019-03-18 Thread Bernhard Reutner-Fischer
On 18 March 2019 10:58:53 CET, Richard Sandiford  
wrote:
>This patch fixes a case in which we vectorised something with a
>fully-predicated loop even after the cost model had rejected it.
>E.g. the loop in the testcase has the costs:
>
>  Vector inside of loop cost: 27
>  Vector prologue cost: 0
>  Vector epilogue cost: 0
>  Scalar iteration cost: 7
>  Scalar outside cost: 6
>  Vector outside cost: 0
>  prologue iterations: 0
>  epilogue iterations: 0
>
>and we can see that the loop executes at most three times, but we
>decided to vectorise it anyway.
>
>(The costs here are equal for three iterations, but the same thing
>happens even when the vector code is strictly more expensive.)
>
>The problem is the handling of "/VF" in:
>
>  /* Calculate number of iterations required to make the vector version
> profitable, relative to the loop bodies only.  The following condition
> must hold true:
> SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
> where
> SIC = scalar iteration cost, VIC = vector iteration cost,
> VOC = vector outside cost, VF = vectorization factor,
> PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
> SOC = scalar outside cost for run time cost model check.  */
>
>We treat the "/VF" as truncating, but for fully-predicated loops, it's
>closer to a ceil division, since fractional iterations are handled by a
>full iteration with some predicate bits set to false.
>
>The easiest fix seemed to be to calculate the minimum number of vector
>iterations first, then use that to calculate the minimum number of
>scalar
>iterations.
>
>Calculating the minimum number of vector iterations might make sense
>for
>unpredicated loops too, since calculating the scalar niters directly
>doesn't take into account the fact that the VIC multiple has to be an
>integer.  But the handling of PL_ITERS and EP_ITERS for unpredicated
>loops is a bit hand-wavy anyway, so maybe vagueness here cancels out
>vagueness there?
>
>Either way, changing this for unpredicated loops would be much too
>invasive for stage 4, so the patch keeps it specific to
>fully-predicated
>loops (i.e. SVE) for now.  There's no functional change for other
>targets.
>
>Tested on aarch64-linux-gnu with and without SVE, and on
>x86_64-linux-gnu.
>This is a regression introduced by the original cost model patches for
>fully-predicated loops, so OK for GCC 9?
>
>Thanks,
>Richard
>
>
>2019-03-18  Richard Sandiford  
>
>gcc/
>   * tree-vect-loop.c (vect_estimate_min_profitable_iters): Fix the
>   calculation of the minimum number of scalar iterations for
>   fully-predicated loops.
>
>gcc/testsuite/
>   * gcc.target/aarch64/sve/cost_model_1.c: New test.
>
>Index: gcc/tree-vect-loop.c
>===
>--- gcc/tree-vect-loop.c   2019-03-08 18:15:33.668751875 +
>+++ gcc/tree-vect-loop.c   2019-03-18 09:55:03.257194326 +
>@@ -3600,14 +3600,89 @@ vect_estimate_min_profitable_iters (loop
>  /* Calculate number of iterations required to make the vector version
> profitable, relative to the loop bodies only.  The following condition
>  must hold true:
>- SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
>+ SIC * niters + SOC > VIC * ((niters - NPEEL) / VF) + VOC
>  where
>  SIC = scalar iteration cost, VIC = vector iteration cost,
>  VOC = vector outside cost, VF = vectorization factor,
>- PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
>+ NPEEL = prologue iterations + epilogue iterations,
>  SOC = scalar outside cost for run time cost model check.  */
> 
>-  if ((scalar_single_iter_cost * assumed_vf) > (int) vec_inside_cost)
>+  int saving_per_viter = (scalar_single_iter_cost * assumed_vf
>+- vec_inside_cost);
>+  if (saving_per_viter <= 0)
>+{
>+  if (LOOP_VINFO_LOOP (loop_vinfo)->force_vectorize)
>+  warning_at (vect_location.get_location_t (), OPT_Wopenmp_simd,
>+  "vectorization did not happen for a simd loop");
>+
>+  if (dump_enabled_p ())
>+dump_printf_loc (MSG_MISSED_OPTIMIZATION, vect_location,
>+   "cost model: the vector iteration cost = %d "
>+   "divided by the scalar iteration cost = %d "
>+   "is greater or equal to the vectorization factor = %d"
>+ ".\n",
>+   vec_inside_cost, scalar_single_iter_cost, assumed_vf);
>+  *ret_min_profitable_niters = -1;
>+  *ret_min_profitable_estimate = -1;
>+  return;
>+}
>+
>+  /* ??? The "if" arm is written to handle all cases; see below for
>what
>+ we would do for !LOOP_VINFO_FULLY_MASKED_P.  */
>+  if (LOOP_VINFO_FULLY_MASKED_P (loop_vinfo))
>+{

The condition above seems to contain...


>+  /* Rewriting the condition above in terms of the number of
>+   vector iterations (vniters) rather than the number of
>+  

Re: Fix a case in which the vector cost model was ignored

2019-03-18 Thread Richard Sandiford
Richard Biener  writes:
> On Mon, Mar 18, 2019 at 10:59 AM Richard Sandiford
>  wrote:
>>
>> This patch fixes a case in which we vectorised something with a
>> fully-predicated loop even after the cost model had rejected it.
>> E.g. the loop in the testcase has the costs:
>>
>>   Vector inside of loop cost: 27
>>   Vector prologue cost: 0
>>   Vector epilogue cost: 0
>>   Scalar iteration cost: 7
>>   Scalar outside cost: 6
>>   Vector outside cost: 0
>>   prologue iterations: 0
>>   epilogue iterations: 0
>>
>> and we can see that the loop executes at most three times, but we
>> decided to vectorise it anyway.
>>
>> (The costs here are equal for three iterations, but the same thing
>> happens even when the vector code is strictly more expensive.)
>>
>> The problem is the handling of "/VF" in:
>>
>>   /* Calculate number of iterations required to make the vector version
>>  profitable, relative to the loop bodies only.  The following condition
>>  must hold true:
>>  SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
>>  where
>>  SIC = scalar iteration cost, VIC = vector iteration cost,
>>  VOC = vector outside cost, VF = vectorization factor,
>>  PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
>>  SOC = scalar outside cost for run time cost model check.  */
>>
>> We treat the "/VF" as truncating, but for fully-predicated loops, it's
>> closer to a ceil division, since fractional iterations are handled by a
>> full iteration with some predicate bits set to false.
>>
>> The easiest fix seemed to be to calculate the minimum number of vector
>> iterations first, then use that to calculate the minimum number of scalar
>> iterations.
>>
>> Calculating the minimum number of vector iterations might make sense for
>> unpredicated loops too, since calculating the scalar niters directly
>> doesn't take into account the fact that the VIC multiple has to be an
>> integer.  But the handling of PL_ITERS and EP_ITERS for unpredicated
>> loops is a bit hand-wavy anyway, so maybe vagueness here cancels out
>> vagueness there?
>
> Well, their estimate if we do not know them statically is.  If we statically
> know pl/ep iters the formulat should match, no?

Yeah, true.

I don't see how much we gain by trying to estimate the number of peels
for the runtime threshold.  The NPEEL-dependent component of VOC is
really just SIC * NPEEL, which makes sense given that each peeled
iteration is just a normal scalar iteration.  VOC also includes extra
base overhead on top of that, but once the number of scalar iterations
is big enough for the inner-loop saving to compensate for the base overhead,
each extra peel counts equally against both sides.  So I think we could
estimate the minimum number of vector (rather than scalar) iterations
without taking the number of peels into account for VOC, just the
potential presence of peeling.  We could then add a worst-case amount
of prologue peeling, an estimate (as in the patch) or the actual runtime
amount (which would mean calculating the value even when the vector loop
isn't used).

> Hopefully for GCC 10 we can even fix the case in PR89754.

Yeah, would be nice. :-)  Would also be good to be able to compare inner
and outer loop vectorisation side-by-side and pick whichever's best.
We want that for SVE to avoid e.g. using outer-loop vectorisation for
a 3-iteration outer loop and a many-iteration inner loop.

Thanks,
Richard


Re: Fix a case in which the vector cost model was ignored

2019-03-18 Thread Richard Biener
On Mon, Mar 18, 2019 at 10:59 AM Richard Sandiford
 wrote:
>
> This patch fixes a case in which we vectorised something with a
> fully-predicated loop even after the cost model had rejected it.
> E.g. the loop in the testcase has the costs:
>
>   Vector inside of loop cost: 27
>   Vector prologue cost: 0
>   Vector epilogue cost: 0
>   Scalar iteration cost: 7
>   Scalar outside cost: 6
>   Vector outside cost: 0
>   prologue iterations: 0
>   epilogue iterations: 0
>
> and we can see that the loop executes at most three times, but we
> decided to vectorise it anyway.
>
> (The costs here are equal for three iterations, but the same thing
> happens even when the vector code is strictly more expensive.)
>
> The problem is the handling of "/VF" in:
>
>   /* Calculate number of iterations required to make the vector version
>  profitable, relative to the loop bodies only.  The following condition
>  must hold true:
>  SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
>  where
>  SIC = scalar iteration cost, VIC = vector iteration cost,
>  VOC = vector outside cost, VF = vectorization factor,
>  PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
>  SOC = scalar outside cost for run time cost model check.  */
>
> We treat the "/VF" as truncating, but for fully-predicated loops, it's
> closer to a ceil division, since fractional iterations are handled by a
> full iteration with some predicate bits set to false.
>
> The easiest fix seemed to be to calculate the minimum number of vector
> iterations first, then use that to calculate the minimum number of scalar
> iterations.
>
> Calculating the minimum number of vector iterations might make sense for
> unpredicated loops too, since calculating the scalar niters directly
> doesn't take into account the fact that the VIC multiple has to be an
> integer.  But the handling of PL_ITERS and EP_ITERS for unpredicated
> loops is a bit hand-wavy anyway, so maybe vagueness here cancels out
> vagueness there?

Well, their estimate if we do not know them statically is.  If we statically
know pl/ep iters the formulat should match, no?  Hopefully for GCC 10
we can even fix the case in PR89754.

> Either way, changing this for unpredicated loops would be much too
> invasive for stage 4, so the patch keeps it specific to fully-predicated
> loops (i.e. SVE) for now.  There's no functional change for other targets.
>
> Tested on aarch64-linux-gnu with and without SVE, and on x86_64-linux-gnu.
> This is a regression introduced by the original cost model patches for
> fully-predicated loops, so OK for GCC 9?

OK.

Thanks,
Richard.

> Thanks,
> Richard
>
>
> 2019-03-18  Richard Sandiford  
>
> gcc/
> * tree-vect-loop.c (vect_estimate_min_profitable_iters): Fix the
> calculation of the minimum number of scalar iterations for
> fully-predicated loops.
>
> gcc/testsuite/
> * gcc.target/aarch64/sve/cost_model_1.c: New test.
>
> Index: gcc/tree-vect-loop.c
> ===
> --- gcc/tree-vect-loop.c2019-03-08 18:15:33.668751875 +
> +++ gcc/tree-vect-loop.c2019-03-18 09:55:03.257194326 +
> @@ -3600,14 +3600,89 @@ vect_estimate_min_profitable_iters (loop
>/* Calculate number of iterations required to make the vector version
>   profitable, relative to the loop bodies only.  The following condition
>   must hold true:
> - SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
> + SIC * niters + SOC > VIC * ((niters - NPEEL) / VF) + VOC
>   where
>   SIC = scalar iteration cost, VIC = vector iteration cost,
>   VOC = vector outside cost, VF = vectorization factor,
> - PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
> + NPEEL = prologue iterations + epilogue iterations,
>   SOC = scalar outside cost for run time cost model check.  */
>
> -  if ((scalar_single_iter_cost * assumed_vf) > (int) vec_inside_cost)
> +  int saving_per_viter = (scalar_single_iter_cost * assumed_vf
> + - vec_inside_cost);
> +  if (saving_per_viter <= 0)
> +{
> +  if (LOOP_VINFO_LOOP (loop_vinfo)->force_vectorize)
> +   warning_at (vect_location.get_location_t (), OPT_Wopenmp_simd,
> +   "vectorization did not happen for a simd loop");
> +
> +  if (dump_enabled_p ())
> +dump_printf_loc (MSG_MISSED_OPTIMIZATION, vect_location,
> +"cost model: the vector iteration cost = %d "
> +"divided by the scalar iteration cost = %d "
> +"is greater or equal to the vectorization factor = 
> %d"
> + ".\n",
> +vec_inside_cost, scalar_single_iter_cost, 
> assumed_vf);
> +  *ret_min_profitable_niters = -1;
> +  *ret_min_profitable_estimate = -1;
> +  return;
> +}
> +
> +  /* ??? The "if" arm is written to handle 

Fix a case in which the vector cost model was ignored

2019-03-18 Thread Richard Sandiford
This patch fixes a case in which we vectorised something with a
fully-predicated loop even after the cost model had rejected it.
E.g. the loop in the testcase has the costs:

  Vector inside of loop cost: 27
  Vector prologue cost: 0
  Vector epilogue cost: 0
  Scalar iteration cost: 7
  Scalar outside cost: 6
  Vector outside cost: 0
  prologue iterations: 0
  epilogue iterations: 0

and we can see that the loop executes at most three times, but we
decided to vectorise it anyway.

(The costs here are equal for three iterations, but the same thing
happens even when the vector code is strictly more expensive.)

The problem is the handling of "/VF" in:

  /* Calculate number of iterations required to make the vector version
 profitable, relative to the loop bodies only.  The following condition
 must hold true:
 SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
 where
 SIC = scalar iteration cost, VIC = vector iteration cost,
 VOC = vector outside cost, VF = vectorization factor,
 PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
 SOC = scalar outside cost for run time cost model check.  */

We treat the "/VF" as truncating, but for fully-predicated loops, it's
closer to a ceil division, since fractional iterations are handled by a
full iteration with some predicate bits set to false.

The easiest fix seemed to be to calculate the minimum number of vector
iterations first, then use that to calculate the minimum number of scalar
iterations.

Calculating the minimum number of vector iterations might make sense for
unpredicated loops too, since calculating the scalar niters directly
doesn't take into account the fact that the VIC multiple has to be an
integer.  But the handling of PL_ITERS and EP_ITERS for unpredicated
loops is a bit hand-wavy anyway, so maybe vagueness here cancels out
vagueness there?

Either way, changing this for unpredicated loops would be much too
invasive for stage 4, so the patch keeps it specific to fully-predicated
loops (i.e. SVE) for now.  There's no functional change for other targets.

Tested on aarch64-linux-gnu with and without SVE, and on x86_64-linux-gnu.
This is a regression introduced by the original cost model patches for
fully-predicated loops, so OK for GCC 9?

Thanks,
Richard


2019-03-18  Richard Sandiford  

gcc/
* tree-vect-loop.c (vect_estimate_min_profitable_iters): Fix the
calculation of the minimum number of scalar iterations for
fully-predicated loops.

gcc/testsuite/
* gcc.target/aarch64/sve/cost_model_1.c: New test.

Index: gcc/tree-vect-loop.c
===
--- gcc/tree-vect-loop.c2019-03-08 18:15:33.668751875 +
+++ gcc/tree-vect-loop.c2019-03-18 09:55:03.257194326 +
@@ -3600,14 +3600,89 @@ vect_estimate_min_profitable_iters (loop
   /* Calculate number of iterations required to make the vector version
  profitable, relative to the loop bodies only.  The following condition
  must hold true:
- SIC * niters + SOC > VIC * ((niters-PL_ITERS-EP_ITERS)/VF) + VOC
+ SIC * niters + SOC > VIC * ((niters - NPEEL) / VF) + VOC
  where
  SIC = scalar iteration cost, VIC = vector iteration cost,
  VOC = vector outside cost, VF = vectorization factor,
- PL_ITERS = prologue iterations, EP_ITERS= epilogue iterations
+ NPEEL = prologue iterations + epilogue iterations,
  SOC = scalar outside cost for run time cost model check.  */
 
-  if ((scalar_single_iter_cost * assumed_vf) > (int) vec_inside_cost)
+  int saving_per_viter = (scalar_single_iter_cost * assumed_vf
+ - vec_inside_cost);
+  if (saving_per_viter <= 0)
+{
+  if (LOOP_VINFO_LOOP (loop_vinfo)->force_vectorize)
+   warning_at (vect_location.get_location_t (), OPT_Wopenmp_simd,
+   "vectorization did not happen for a simd loop");
+
+  if (dump_enabled_p ())
+dump_printf_loc (MSG_MISSED_OPTIMIZATION, vect_location,
+"cost model: the vector iteration cost = %d "
+"divided by the scalar iteration cost = %d "
+"is greater or equal to the vectorization factor = %d"
+ ".\n",
+vec_inside_cost, scalar_single_iter_cost, assumed_vf);
+  *ret_min_profitable_niters = -1;
+  *ret_min_profitable_estimate = -1;
+  return;
+}
+
+  /* ??? The "if" arm is written to handle all cases; see below for what
+ we would do for !LOOP_VINFO_FULLY_MASKED_P.  */
+  if (LOOP_VINFO_FULLY_MASKED_P (loop_vinfo))
+{
+  /* Rewriting the condition above in terms of the number of
+vector iterations (vniters) rather than the number of
+scalar iterations (niters) gives:
+
+SIC * (vniters * VF + NPEEL) + SOC > VIC * vniters + VOC
+
+<==> vniters * (SIC * VF - VIC) > VOC - SIC * NPEEL - SOC
+
+For integer