public void RunStructFldScenario(SimpleBinaryOpTest__CompareLessThanOrEqualDouble testClass)
{
var result = Avx.CompareLessThanOrEqual(_fld1, _fld2);
Unsafe.Write(testClass._dataTable.outArrayPtr, result);
testClass.ValidateResult(_fld1, _fld2, testClass._dataTable.outArrayPtr);
}
public void RunClassFldScenario()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunClassFldScenario));
var result = Avx.CompareLessThanOrEqual(_fld1, _fld2);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(_fld1, _fld2, _dataTable.outArrayPtr);
}
public void VAll_Case_All_True_Should_Return_True()
{
var result = a
.Zip(b)
.Select(x => Avx.CompareLessThanOrEqual(x.Second, x.First))
.All();
result.Should().BeTrue();
}
public void RunClassLclFldScenario()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunClassLclFldScenario));
var test = new SimpleBinaryOpTest__CompareLessThanOrEqualDouble();
var result = Avx.CompareLessThanOrEqual(test._fld1, test._fld2);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(test._fld1, test._fld2, _dataTable.outArrayPtr);
}
public void RunStructLclFldScenario()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunStructLclFldScenario));
var test = TestStruct.Create();
var result = Avx.CompareLessThanOrEqual(test._fld1, test._fld2);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(test._fld1, test._fld2, _dataTable.outArrayPtr);
}
public void Vall_Case_Not_All_True_Should_Return_False()
{
b[1] = Vector256.Create(3.0, 4, 100, 2);
a
.Zip(b)
.Select(x => Avx.CompareLessThanOrEqual(x.Second, x.First))
.All()
.Should().BeFalse();
}
public void RunLclVarScenario_LoadAligned()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunLclVarScenario_LoadAligned));
var op1 = Avx.LoadAlignedVector256((Double *)(_dataTable.inArray1Ptr));
var op2 = Avx.LoadAlignedVector256((Double *)(_dataTable.inArray2Ptr));
var result = Avx.CompareLessThanOrEqual(op1, op2);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(op1, op2, _dataTable.outArrayPtr);
}
public void RunLclVarScenario_UnsafeRead()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunLclVarScenario_UnsafeRead));
var op1 = Unsafe.Read <Vector256 <Double> >(_dataTable.inArray1Ptr);
var op2 = Unsafe.Read <Vector256 <Double> >(_dataTable.inArray2Ptr);
var result = Avx.CompareLessThanOrEqual(op1, op2);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(op1, op2, _dataTable.outArrayPtr);
}
public void RunBasicScenario_UnsafeRead()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunBasicScenario_UnsafeRead));
var result = Avx.CompareLessThanOrEqual(
Unsafe.Read <Vector256 <Single> >(_dataTable.inArray1Ptr),
Unsafe.Read <Vector256 <Single> >(_dataTable.inArray2Ptr)
);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(_dataTable.inArray1Ptr, _dataTable.inArray2Ptr, _dataTable.outArrayPtr);
}
public void RunBasicScenario_Load()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunBasicScenario_Load));
var result = Avx.CompareLessThanOrEqual(
Avx.LoadVector256((Double *)(_dataTable.inArray1Ptr)),
Avx.LoadVector256((Double *)(_dataTable.inArray2Ptr))
);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(_dataTable.inArray1Ptr, _dataTable.inArray2Ptr, _dataTable.outArrayPtr);
}
public void RunStructFldScenario_Load(SimpleBinaryOpTest__CompareLessThanOrEqualDouble testClass)
{
fixed(Vector256 <Double> *pFld1 = &_fld1)
fixed(Vector256 <Double> *pFld2 = &_fld2)
{
var result = Avx.CompareLessThanOrEqual(
Avx.LoadVector256((Double *)(pFld1)),
Avx.LoadVector256((Double *)(pFld2))
);
Unsafe.Write(testClass._dataTable.outArrayPtr, result);
testClass.ValidateResult(_fld1, _fld2, testClass._dataTable.outArrayPtr);
}
}
public void RunClsVarScenario_Load()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunClsVarScenario_Load));
fixed(Vector256 <Single> *pClsVar1 = &_clsVar1)
fixed(Vector256 <Single> *pClsVar2 = &_clsVar2)
{
var result = Avx.CompareLessThanOrEqual(
Avx.LoadVector256((Single *)(pClsVar1)),
Avx.LoadVector256((Single *)(pClsVar2))
);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(_clsVar1, _clsVar2, _dataTable.outArrayPtr);
}
}
public void RunClassFldScenario_Load()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunClassFldScenario_Load));
fixed(Vector256 <Double> *pFld1 = &_fld1)
fixed(Vector256 <Double> *pFld2 = &_fld2)
{
var result = Avx.CompareLessThanOrEqual(
Avx.LoadVector256((Double *)(pFld1)),
Avx.LoadVector256((Double *)(pFld2))
);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(_fld1, _fld2, _dataTable.outArrayPtr);
}
}
public void RunClassLclFldScenario_Load()
{
TestLibrary.TestFramework.BeginScenario(nameof(RunClassLclFldScenario_Load));
var test = new SimpleBinaryOpTest__CompareLessThanOrEqualSingle();
fixed(Vector256 <Single> *pFld1 = &test._fld1)
fixed(Vector256 <Single> *pFld2 = &test._fld2)
{
var result = Avx.CompareLessThanOrEqual(
Avx.LoadVector256((Single *)(pFld1)),
Avx.LoadVector256((Single *)(pFld2))
);
Unsafe.Write(_dataTable.outArrayPtr, result);
ValidateResult(test._fld1, test._fld2, _dataTable.outArrayPtr);
}
}
public static Vector128 <float> GetBrucePsmeAbgrGrowthEffectiveAge(SiteConstants site, float timeStepInYears, Vector128 <float> treeHeight, out Vector128 <float> potentialHeightGrowth)
{
Vector128 <float> B1 = AvxExtensions.BroadcastScalarToVector128(site.B1);
Vector128 <float> B2 = AvxExtensions.BroadcastScalarToVector128(site.B2);
Vector128 <float> X2toB2 = AvxExtensions.BroadcastScalarToVector128(site.X2toB2);
Vector128 <float> siteIndexFromGround128 = AvxExtensions.BroadcastScalarToVector128(site.SiteIndexFromGround);
Vector128 <float> X1 = AvxExtensions.BroadcastScalarToVector128(site.X1);
Vector128 <float> XX1 = Avx.Add(Avx.Divide(MathV.Ln(Avx.Divide(treeHeight, siteIndexFromGround128)), B1), X2toB2);
Vector128 <float> xx1lessThanZero = Avx.CompareLessThanOrEqual(XX1, Vector128 <float> .Zero);
Vector128 <float> growthEffectiveAge = Avx.Subtract(MathV.Pow(XX1, Avx.Reciprocal(B2)), X1);
growthEffectiveAge = Avx.BlendVariable(growthEffectiveAge, AvxExtensions.BroadcastScalarToVector128(500.0F), xx1lessThanZero);
Vector128 <float> timeStepInYearsPlusX1 = AvxExtensions.BroadcastScalarToVector128(timeStepInYears + site.X1);
Vector128 <float> potentialHeightPower = Avx.Multiply(B1, Avx.Subtract(MathV.Pow(Avx.Add(growthEffectiveAge, timeStepInYearsPlusX1), B2), X2toB2));
Vector128 <float> potentialHeight = Avx.Multiply(siteIndexFromGround128, MathV.Exp(potentialHeightPower));
potentialHeightGrowth = Avx.Subtract(potentialHeight, treeHeight);
return(growthEffectiveAge);
}
public static unsafe float GetScribnerBoardFeetPerAcre(Trees trees)
{
// for now, assume all trees are of the same species
if (trees.Species != FiaCode.PseudotsugaMenziesii)
{
throw new NotSupportedException();
}
if (trees.Units != Units.English)
{
throw new NotSupportedException();
}
// Douglas-fir
#if DEBUG
Vector128 <float> v6p8 = AvxExtensions.BroadcastScalarToVector128(6.8F);
Vector128 <float> v10k = AvxExtensions.BroadcastScalarToVector128(10.0F * 1000.0F);
#endif
// constants
Vector128 <float> forestersEnglish = AvxExtensions.BroadcastScalarToVector128(Constant.ForestersEnglish);
Vector128 <float> one = AvxExtensions.BroadcastScalarToVector128(1.0F);
Vector128 <float> six = AvxExtensions.BroadcastScalarToVector128(6.0F);
Vector128 <float> vm3p21809 = AvxExtensions.BroadcastScalarToVector128(-3.21809F); // b4
Vector128 <float> v0p04948 = AvxExtensions.BroadcastScalarToVector128(0.04948F);
Vector128 <float> vm0p15664 = AvxExtensions.BroadcastScalarToVector128(-0.15664F);
Vector128 <float> v2p02132 = AvxExtensions.BroadcastScalarToVector128(2.02132F);
Vector128 <float> v1p63408 = AvxExtensions.BroadcastScalarToVector128(1.63408F);
Vector128 <float> vm0p16184 = AvxExtensions.BroadcastScalarToVector128(-0.16184F);
Vector128 <float> v1p033 = AvxExtensions.BroadcastScalarToVector128(1.033F);
Vector128 <float> v1p382937 = AvxExtensions.BroadcastScalarToVector128(1.382937F);
Vector128 <float> vm0p4015292 = AvxExtensions.BroadcastScalarToVector128(-0.4015292F);
Vector128 <float> v0p087266 = AvxExtensions.BroadcastScalarToVector128(0.087266F);
Vector128 <float> vm0p174533 = AvxExtensions.BroadcastScalarToVector128(-0.174533F);
Vector128 <float> vm0p6896598794 = AvxExtensions.BroadcastScalarToVector128(-0.6896598794F); // rc6-rs632
Vector128 <float> v0p993 = AvxExtensions.BroadcastScalarToVector128(0.993F);
Vector128 <float> v0p174439 = AvxExtensions.BroadcastScalarToVector128(0.174439F);
Vector128 <float> v0p117594 = AvxExtensions.BroadcastScalarToVector128(0.117594F);
Vector128 <float> vm8p210585 = AvxExtensions.BroadcastScalarToVector128(-8.210585F);
Vector128 <float> v0p236693 = AvxExtensions.BroadcastScalarToVector128(0.236693F);
Vector128 <float> v0p00001345 = AvxExtensions.BroadcastScalarToVector128(0.00001345F);
Vector128 <float> v0p00001937 = AvxExtensions.BroadcastScalarToVector128(0.00001937F);
Vector128 <float> v1p001491 = AvxExtensions.BroadcastScalarToVector128(1.001491F);
Vector128 <float> vm6p924097 = AvxExtensions.BroadcastScalarToVector128(-6.924097F);
Vector128 <float> v0p912733 = AvxExtensions.BroadcastScalarToVector128(0.912733F);
Vector128 <float> v0p00001351 = AvxExtensions.BroadcastScalarToVector128(0.00001351F);
fixed(float *dbh = &trees.Dbh[0], expansionFactors = &trees.LiveExpansionFactor[0], height = &trees.Height[0])
{
Vector128 <float> standBoardFeetPerAcre = Vector128 <float> .Zero;
for (int treeIndex = 0; treeIndex < trees.Count; treeIndex += Constant.Simd128x4.Width)
{
Vector128 <float> dbhInInches = Avx.LoadVector128(dbh + treeIndex);
Vector128 <float> heightInFeet = Avx.LoadVector128(height + treeIndex);
Vector128 <float> logDbhInInches = MathV.Log10(dbhInInches);
Vector128 <float> logHeightInFeet = MathV.Log10(heightInFeet);
// FiaCode.PseudotsugaMenziesii => -3.21809F + 0.04948F * logHeightInFeet * logDbhInInches - 0.15664F * logDbhInInches * logDbhInInches +
// 2.02132F * logDbhInInches + 1.63408F * logHeightInFeet - 0.16184F * logHeightInFeet * logHeightInFeet,
Vector128 <float> cvtsl = Avx.Add(vm3p21809, Avx.Multiply(v0p04948, Avx.Multiply(logHeightInFeet, logDbhInInches)));
cvtsl = Avx.Add(cvtsl, Avx.Multiply(vm0p15664, Avx.Multiply(logDbhInInches, logDbhInInches)));
cvtsl = Avx.Add(cvtsl, Avx.Multiply(v2p02132, logDbhInInches));
cvtsl = Avx.Add(cvtsl, Avx.Multiply(v1p63408, logHeightInFeet));
cvtsl = Avx.Add(cvtsl, Avx.Multiply(vm0p16184, Avx.Multiply(logHeightInFeet, logHeightInFeet)));
Vector128 <float> cubicFeet = MathV.Exp10(cvtsl);
Vector128 <float> dbhSquared = Avx.Multiply(dbhInInches, dbhInInches); // could be consolidated by merging other scaling constants with Forester's constant for basal area
Vector128 <float> basalAreaInSquareFeet = Avx.Multiply(forestersEnglish, dbhSquared);
// b4 = cubicFeet / (1.033F * (1.0F + 1.382937F * MathV.Exp(-4.015292F * dbhInInches / 10.0F)) * (basalAreaInSquareFeet + 0.087266F) - 0.174533F);
Vector128 <float> b4 = Avx.Divide(cubicFeet, Avx.Add(Avx.Multiply(v1p033,
Avx.Multiply(Avx.Add(one, Avx.Multiply(v1p382937,
MathV.Exp(Avx.Multiply(vm0p4015292,
dbhInInches)))),
Avx.Add(basalAreaInSquareFeet, v0p087266))),
vm0p174533));
Vector128 <float> cv4 = Avx.Multiply(b4, Avx.Subtract(basalAreaInSquareFeet, v0p087266));
// conversion to Scribner volumes for 32 foot trees
// Waddell 2014:32
// rc6 = 0.993F * (1.0F - MathF.Pow(0.62F, dbhInInches - 6.0F));
Vector128 <float> rc6 = Avx.Multiply(v0p993, Avx.Subtract(one, MathV.Exp(Avx.Multiply(vm0p6896598794, Avx.Subtract(dbhInInches, six))))); // log2(0.62) = -0.6896598794
Vector128 <float> cv6 = Avx.Multiply(rc6, cv4);
Vector128 <float> logB4 = MathV.Log10(b4);
// float rs616 = MathF.Pow(10.0F, 0.174439F + 0.117594F * logDbhInInches * logB4 - 8.210585F / (dbhInInches * dbhInInches) + 0.236693F * logB4 - 0.00001345F * b4 * b4 - 0.00001937F * dbhInInches * dbhInInches);
Vector128 <float> rs616l = Avx.Add(v0p174439, Avx.Multiply(v0p117594, Avx.Multiply(logDbhInInches, logB4)));
rs616l = Avx.Add(rs616l, Avx.Divide(vm8p210585, dbhSquared));
rs616l = Avx.Add(rs616l, Avx.Multiply(v0p236693, logB4));
rs616l = Avx.Subtract(rs616l, Avx.Multiply(v0p00001345, Avx.Multiply(b4, b4)));
rs616l = Avx.Subtract(rs616l, Avx.Multiply(v0p00001937, dbhSquared));
Vector128 <float> rs616 = MathV.Exp10(rs616l);
Vector128 <float> sv616 = Avx.Multiply(rs616, cv6); // Scribner board foot volume to a 6 inch top for 16 foot logs
// float rs632 = 1.001491F - 6.924097F / tarif + 0.00001351F * dbhInInches * dbhInInches;
Vector128 <float> rs632 = Avx.Add(v1p001491, Avx.Divide(vm6p924097, Avx.Multiply(v0p912733, b4)));
rs632 = Avx.Add(rs632, Avx.Multiply(v0p00001351, dbhSquared));
Vector128 <float> zeroVolumeMask = Avx.CompareLessThanOrEqual(dbhInInches, six);
Vector128 <float> sv632 = Avx.Multiply(rs632, sv616); // Scribner board foot volume to a 6 inch top for 32 foot logs
sv632 = Avx.BlendVariable(sv632, Vector128 <float> .Zero, zeroVolumeMask);
#if DEBUG
DebugV.Assert(Avx.CompareGreaterThanOrEqual(Avx.BlendVariable(rc6, Vector128 <float> .Zero, zeroVolumeMask), Vector128 <float> .Zero));
DebugV.Assert(Avx.CompareLessThanOrEqual(rc6, one));
DebugV.Assert(Avx.CompareGreaterThanOrEqual(Avx.BlendVariable(rs616, one, zeroVolumeMask), one));
DebugV.Assert(Avx.CompareLessThanOrEqual(Avx.BlendVariable(rs616, Vector128 <float> .Zero, zeroVolumeMask), v6p8));
DebugV.Assert(Avx.CompareGreaterThanOrEqual(Avx.BlendVariable(rs632, Vector128 <float> .Zero, zeroVolumeMask), Vector128 <float> .Zero));
DebugV.Assert(Avx.CompareLessThanOrEqual(Avx.BlendVariable(rs632, Vector128 <float> .Zero, zeroVolumeMask), one));
DebugV.Assert(Avx.CompareGreaterThanOrEqual(Avx.BlendVariable(sv632, Vector128 <float> .Zero, zeroVolumeMask), Vector128 <float> .Zero));
DebugV.Assert(Avx.CompareLessThanOrEqual(Avx.BlendVariable(sv632, Vector128 <float> .Zero, zeroVolumeMask), v10k));
#endif
Vector128 <float> expansionFactor = Avx.LoadVector128(expansionFactors + treeIndex);
standBoardFeetPerAcre = Avx.Add(standBoardFeetPerAcre, Avx.Multiply(expansionFactor, sv632));
}
standBoardFeetPerAcre = Avx.HorizontalAdd(standBoardFeetPerAcre, standBoardFeetPerAcre);
standBoardFeetPerAcre = Avx.HorizontalAdd(standBoardFeetPerAcre, standBoardFeetPerAcre);
return(standBoardFeetPerAcre.ToScalar());
}
}
public static IEnumerable <(double, double[])> Rk45(
Func <Vector256 <double>, IEnumerable <Vector256 <double> >, IEnumerable <Vector256 <double> > > func,
double[] y0,
double t0,
double tEnd,
double[] tOut,
double h,
double hMax,
double[] epsilon)
{
#if VALIDATION
// Argument validation
if (y0.Length < 1)
{
throw new ArgumentException("The initial state array must contain at least one item", nameof(y0));
}
if (tEnd <= t0)
{
throw new ArgumentException("The end time must be larger than the start time", nameof(tEnd));
}
tOut = tOut.OrderBy(v => v).ToArray();
if (tOut.Length > 0 && (tOut.First() <= t0 || tOut.Last() >= tEnd))
{
throw new ArgumentException(
$"The output times must be in the range ({nameof(t0)}, {nameof(tEnd)})]",
nameof(tOut));
}
if (epsilon.Length < 1 || (epsilon.Length > 1 && epsilon.Length != y0.Length))
{
throw new ArgumentException(
$"{nameof(epsilon)} must either contain a single element "
+ "or have the same length as {nameof(y0)}.",
nameof(epsilon));
}
#endif
// Initialization
var y = y0.Load().ToArray();
var t = t0;
var veps = epsilon.Load(epsilon[0]).ToArray();
// Output at t0
yield return(t, y.Unpack().ToArray());
#if DENSE_OUTPUT
// Construct enumerator for output points
var tOutEnum = tOut.Concat(
Enumerable.Repeat(double.NegativeInfinity, int.MaxValue)).GetEnumerator();
tOutEnum.MoveNext();
var tNextOut = tOutEnum.Current;
var doOutput = false;
#endif
// Perform iterations
do
{
// Clamp h to not exceed hmax and not overshoot tend
h = Math.Min(Math.Min(h, hMax), tEnd - t);
#if DENSE_OUTPUT
// Clamp h in case it would overshoot next output time.
// Note that this can (and should) be improved in such a way
// that the step size is not adapted but the intermediate value
// for the output instant is interpolated using a cubic Hermite
// spline constructed from y(t), y(t+h), f(t, y(t)) and
// f(t+h, y(t+h)).
var dtOut = tNextOut - t;
if (dtOut > 0 && dtOut < h)
{
h = dtOut;
doOutput = true;
}
#endif
var vh = Vector256.Create(h);
// Calculate k1 through k6
var k1 = func(V(t + h * A1), y).Mul(vh).ToArray();
var k2 = func(V(t + h * A2), k1.MulAdd(VB21, y)).Mul(vh).ToArray();
var k3 = func(V(t + h * A3), k2.MulAdd(VB32, k1.MulAdd(VB31, y))).Mul(vh).ToArray();
var k4 = func(V(t + h * A4), k3.MulAdd(VB43, k2.MulAdd(VB42, k1.MulAdd(VB41, y)))).Mul(vh).ToArray();
var k5 = func(V(t + h * A5), k4.MulAdd(VB54, k3.MulAdd(VB53, k2.MulAdd(VB52, k1.MulAdd(VB51, y))))).Mul(vh).ToArray();
var k6 = func(V(t + h * A6), k5.MulAdd(VB65, k4.MulAdd(VB64, k3.MulAdd(VB63, k2.MulAdd(VB62, k1.MulAdd(VB61, y)))))).Mul(vh).ToArray();
// Calculate error estimate for each component
var te = k1.MulAdd(VCt1,
k2.MulAdd(VCt2,
k3.MulAdd(VCt3,
k4.MulAdd(VCt4,
k5.MulAdd(VCt5,
k6.Mul(VCt6)))))).Select(v => v.Abs());
// If only single epsilon given, reduce
if (epsilon.Length == 1)
{
te = new[] { V(te.Max()) };
}
// If error criterion is fulfilled, perform increment
if (te.Zip(veps).Select(x =>
Avx.CompareLessThanOrEqual(x.First, x.Second)).All())
{
y = k6.MulAdd(VCh6,
k5.MulAdd(VCh5,
k4.MulAdd(VCh4,
k3.MulAdd(VCh3,
k2.MulAdd(VCh2,
k1.MulAdd(VCh1, y)))))).ToArray();
t += h;
#if DENSE_OUTPUT
// If required, yield result
if (doOutput)
{
doOutput = false;
tOutEnum.MoveNext();
tNextOut = tOutEnum.Current;
yield return(t, y.Unpack().ToArray());
}
#endif
}
// Adapt step size
h *= 0.9 * Math.Pow(veps.Div(te).Min(), 1.0 / 5);
} while (t < tEnd);
// Output at tend
yield return(t, y.Unpack().ToArray());
}
public static m32 LessThanOrEqual(f32 lhs, f32 rhs) => Avx.CompareLessThanOrEqual(lhs, rhs).AsInt32();