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/dports/math/octave/octave-6.4.0/doc/interpreter/
H A Dquad.txi22 Octave comes with several built-in functions for computing the integral
36 the integral
62 @item integral
101 @var{f}(@var{x}) = @var{x} * sin (1/@var{x}) * sqrt (abs (1 - @var{x}))
116 y = x .* sin (1./x) .* sqrt (abs (1 - x));
168 @DOCSTRING(integral)
271 Octave includes several functions for computing the integral of functions of
348 exponentially with the dimensionality of the integral. Another possible
350 the previous section (@pxref{Orthogonal Collocation}). The integral of a
363 following code computes the studied integral using @math{n=8} points.
/dports/graphics/openvkl/openvkl-1.1.0/testing/external/
H A Dhalf.hpp849 template<std::float_round_style R,bool E,bool I> unsigned int integral(unsigned int value) in integral() function
2976 int abs = arg.data_ & 0x7FFF, e = (abs>>10) + (abs<=0x3FF), exp = (abs&0x3FF) + ((abs>0x3FF)<<10); in exp2()
3270 if(!abs || abs == 0x3C00 || abs >= 0x7C00) in cbrt()
4071 …inline half ceil(half arg) { return half(detail::binary, detail::integral<std::round_toward_infini… in ceil()
4079 …inline half floor(half arg) { return half(detail::binary, detail::integral<std::round_toward_neg_i… in floor()
4087 …inline half trunc(half arg) { return half(detail::binary, detail::integral<std::round_toward_zero,… in trunc()
4095 …inline half round(half arg) { return half(detail::binary, detail::integral<std::round_to_nearest,f… in round()
4110 …inline half rint(half arg) { return half(detail::binary, detail::integral<half::round_style,true,t… in rint()
4125 …inline half nearbyint(half arg) { return half(detail::binary, detail::integral<half::round_style,t… in nearbyint()
4255 for(exp=(abs>>10)-15; abs<0x200; abs<<=1,--exp) ; in ilogb()
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/dports/math/half/half-2.2.0/include/
H A Dhalf.hpp849 template<std::float_round_style R,bool E,bool I> unsigned int integral(unsigned int value) in integral() function
2976 int abs = arg.data_ & 0x7FFF, e = (abs>>10) + (abs<=0x3FF), exp = (abs&0x3FF) + ((abs>0x3FF)<<10); in exp2()
3270 if(!abs || abs == 0x3C00 || abs >= 0x7C00) in cbrt()
4071 …inline half ceil(half arg) { return half(detail::binary, detail::integral<std::round_toward_infini… in ceil()
4079 …inline half floor(half arg) { return half(detail::binary, detail::integral<std::round_toward_neg_i… in floor()
4087 …inline half trunc(half arg) { return half(detail::binary, detail::integral<std::round_toward_zero,… in trunc()
4095 …inline half round(half arg) { return half(detail::binary, detail::integral<std::round_to_nearest,f… in round()
4110 …inline half rint(half arg) { return half(detail::binary, detail::integral<half::round_style,true,t… in rint()
4125 …inline half nearbyint(half arg) { return half(detail::binary, detail::integral<half::round_style,t… in nearbyint()
4255 for(exp=(abs>>10)-15; abs<0x200; abs<<=1,--exp) ; in ilogb()
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/dports/devel/xtl-quant-stack/xtl-0.7.4/include/xtl/
H A Dxhalf_float_impl.hpp504 template<std::float_round_style R,bool E,bool I> unsigned int integral(unsigned int value) { in integral() function
2523 int e = (abs>>10) + (abs<=0x3FF), exp = (abs&0x3FF) + ((abs>0x3FF)<<10); in exp2()
2763 if(!abs || abs == 0x3C00 || abs >= 0x7C00) in cbrt()
3516 …inline half ceil(half arg) { return half(detail::binary, detail::integral<std::round_toward_infini… in ceil()
3524 …inline half floor(half arg) { return half(detail::binary, detail::integral<std::round_toward_neg_i… in floor()
3532 …inline half trunc(half arg) { return half(detail::binary, detail::integral<std::round_toward_zero,… in trunc()
3540 …inline half round(half arg) { return half(detail::binary, detail::integral<std::round_to_nearest,f… in round()
3555 …inline half rint(half arg) { return half(detail::binary, detail::integral<half::round_style,true,t… in rint()
3570 …inline half nearbyint(half arg) { return half(detail::binary, detail::integral<half::round_style,t… in nearbyint()
3692 for(exp=(abs>>10)-15; abs<0x200; abs<<=1,--exp) ; in ilogb()
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/dports/math/e-antic/flint2-ae7ec89/flintxx/
H A Dstdmath.h26 FLINT_DEFINE_UNOP(abs) in FLINT_DEFINE_BINOP()
76 FLINT_DEFINE_UNOP(integral) in FLINT_DEFINE_BINOP()
/dports/math/flint2/flint-2.8.4/flintxx/
H A Dstdmath.h26 FLINT_DEFINE_UNOP(abs) in FLINT_DEFINE_BINOP()
76 FLINT_DEFINE_UNOP(integral) in FLINT_DEFINE_BINOP()
/dports/math/e-antic/e-antic-1.0.0-rc.13/libeantic/upstream/antic/flintxx/
H A Dstdmath.h26 FLINT_DEFINE_UNOP(abs) in FLINT_DEFINE_BINOP()
76 FLINT_DEFINE_UNOP(integral) in FLINT_DEFINE_BINOP()
/dports/math/maxima/maxima-5.43.2/
H A DChangeLog-5.2447 3211937 wrong sign for integral of e^(-1/x^2)
51 3165872 integrate(abs(sin(x)),x,0,2*%pi) wrong result
/dports/math/reduce/Reduce-svn5758-src/packages/specfn/
H A Dsfbes.red306 azfsq := abs!: zfsq;
557 azfsq := abs!: zfsq;
570 plubf(abs!: result, abs!: start)), 5),
574 divbf(log!:(plubf(abs!: result, abs!: start), 5),
628 azfsq := abs!: zfsq;
669 % Does work for non-integral n.
788 % non-integral n. (But in any case it'd be very slow, particularly
789 % for large non-integral n.)
822 (prepre+2 + log10(1/(abs result + abs start)))))/modify)
824 (log10(abs result + abs start)) / modify)
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/dports/math/freefem++/FreeFem-sources-4.6/idp/
H A Dmacro_ddm.idp30 macro intN()int2d// EOM // two-dimensional integral
31 macro intN1()int1d// EOM // one-dimensional integral
37 macro intN()int3d// EOM // three-dimensional integral
38 macro intN1()int2d// EOM // two-dimensional integral
44 macro intN()int2d// EOM // two-dimensional integral
45 macro intN1()int1d// EOM // one-dimensional integral
46 macro intNxN()int2dx2d// EOM // two-dimensional integral for BEM
51 macro intN()int1d// EOM // one-dimensional integral
52 macro intN1()int0d// EOM // zero-dimensional integral
123 PhGlobal supp = abs(part - rank) < 0.1;
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/dports/lang/smalltalk/smalltalk-3.2.5/packages/numerics/
H A DNumericsTests.st61 ^(a - result) abs
100 self assert: (a evaluate + 2) abs < 0.00001.
228 assert: (finder result abs equalsTo: 1)
650 polynomial := (DhbPolynomial coefficients: #(-3 7 2 1)) integral.
664 polynomial := (DhbPolynomial coefficients: #(-3 7 2 1)) integral: 5.
868 [((roots at: 1) + 2) abs
871 [((roots at: 2) + 1) abs
874 [((roots at: 3) - 5) abs
1095 self should: [(result at: 3) abs < 0.000001]
1311 self assert: result abs < 0.00001
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/dports/math/gismo/gismo-21.12.0/src/gsAssembler/
H A DgsPatchRule.hpp48 gsVector<T> integral; in gsPatchRule() local
71 std::tie(greville,integral) = this->_integrate(knots); in gsPatchRule()
75 tmp1.second.swap(integral); in gsPatchRule()
80 std::tie(m_nodes[d],m_weights[d]) = this->_compute(knots,greville,integral); in gsPatchRule()
82 std::pair< gsVector<T>,gsVector<T> > tmp2 = this->_compute(knots,greville,integral); in gsPatchRule()
268 if (math::abs(*it-max)/(max)<1e-15)//warning: fixed acuracy in _init()
/dports/devel/libslang2/slang-2.3.2/doc/tm/rtl/
H A Dmath.tm1 \function{abs}
3 \usage{y = abs(x)}
9 array by using the \ifun{abs} function.
92 \synopsis{Round x up to the nearest integral value}
108 \seealso{Real, Imag, abs}
141 \seealso{abs}
322 \seealso{Real, Conj, abs}
460 \seealso{sqr, abs}
509 \seealso{Imag, Conj, abs}
513 \synopsis{Round to the nearest integral value}
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/dports/science/mpqc/mpqc-2.3.1/src/bin/mpqc/validate/ref/
H A Dinput_mp2r12aph2o.out39 integral intermediate storage = 519368 bytes
40 integral cache = 7478952 bytes
102 integral intermediate storage = 1604320 bytes
103 integral cache = 6390880 bytes
146 Memory used for integral storage: 1731520 Bytes
184 Memory used for integral storage: 2544240 Bytes
375 r12a-abs-mem: 1.49 3.01
H A Dmbpt_mp2r12_ne2.out49 integral intermediate storage = 959288 bytes
50 integral cache = 31037352 bytes
105 integral intermediate storage = 1620960 bytes
106 integral cache = 30372544 bytes
141 Memory used for integral storage: 1748160 Bytes
179 Memory used for integral storage: 1754880 Bytes
416 r12a-abs-mem: 2.41 5.15
H A Dmbpt_mp2r12_ne2_posix.out49 integral intermediate storage = 959288 bytes
50 integral cache = 31037352 bytes
105 integral intermediate storage = 1620960 bytes
106 integral cache = 30372544 bytes
141 Memory used for integral storage: 1748160 Bytes
179 Memory used for integral storage: 1754880 Bytes
416 r12a-abs-mem: 2.46 5.10
H A Dmbpt_mp2r12_ne2_tz.out49 integral intermediate storage = 959288 bytes
50 integral cache = 31037352 bytes
105 integral intermediate storage = 2028280 bytes
106 integral cache = 29942440 bytes
143 Memory used for integral storage: 2906768 Bytes
181 Memory used for integral storage: 2918288 Bytes
419 r12a-abs-mem: 22.00 45.14
H A Dmp2r12_mp2r12slasha00ccpvdzaugccpvdzc2v.out44 integral intermediate storage = 519368 bytes
45 integral cache = 31478952 bytes
106 integral intermediate storage = 1604320 bytes
107 integral cache = 30390880 bytes
150 Memory used for integral storage: 1731520 Bytes
188 Memory used for integral storage: 1738240 Bytes
372 r12a-abs-mem: 0.82 0.83
H A Dinput_mp2r12ah2o.out39 integral intermediate storage = 519368 bytes
40 integral cache = 7478952 bytes
102 integral intermediate storage = 1604320 bytes
103 integral cache = 6390880 bytes
146 Memory used for integral storage: 1731520 Bytes
184 Memory used for integral storage: 2544240 Bytes
337 r12a-abs-mem: 1.49 1.52
H A Dmp2r12_mp2r12slasha10ccpvdzaugccpvdzc2v.out44 integral intermediate storage = 519368 bytes
45 integral cache = 31478952 bytes
106 integral intermediate storage = 1604320 bytes
107 integral cache = 30390880 bytes
150 Memory used for integral storage: 1731520 Bytes
188 Memory used for integral storage: 1738240 Bytes
359 r12a-abs-mem: 0.79 0.80
/dports/math/reduce/Reduce-svn5758-src/packages/odesolve/
H A Dodelin.red64 %% particular integral of the full ODE.
196 % to solve a first integral of an exact ODE or a trivially order-
316 % There are (at least) 4 ways to get the particular integral (P.I.)
364 % Next the particular integral:
410 imroot := abs imroot; % to avoid spurious minus sign
411 imroot := (imroot where abs ~x => x); % to avoid spurious abs!
455 % Try to construct a particular integral using the `D-operator
461 % Returns nil if any integral cannot be evaluated.
598 %% The first integral is the LINEAR (n-1)'th order ODE
601 n-1, " is a first integral:";
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/dports/math/highs/HiGHS-cfe064e/src/mip/
H A DHighsMipSolverData.cpp389 bool integral = true; in runSetup() local
391 if (integral) { in runSetup()
393 integral = false; in runSetup()
396 if (std::abs(ARvalue_[j] - intval) > epsilon) integral = false; in runSetup()
400 maxabsval = std::max(maxabsval, std::abs(ARvalue_[j])); in runSetup()
403 rowintegral[i] = integral; in runSetup()
684 gap = 100 * (ub - lb) / std::max(1.0, std::abs(ub)); in printDisplayLine()
900 if (std::abs(cost - intcost) > epsilon) { in checkObjIntegrality()
/dports/math/octave-forge-statistics/statistics-1.4.3/inst/
H A Dmonotone_smooth.m115 %K_epanech_kernel = @(z) (3/4) * ((1 - z).^2) .* (abs(z) < 1);
117 …K_epanech_int = @(z) mean(((abs(z) < 1)/2) - (3/4) * (z .* (abs(z) < 1) - (1/3) * (z.^3) .* (abs(z…
119 %integral of kernels up to t
141 %if (abs(wt-wn) < 1E-4) || (tn < (y_min-0.1)) || (tn > (y_max+0.1))
144 if (abs(wt_scaled-wn_scaled) < 1E-4) || (wt_scaled < -0.1) || (wt_scaled > 1.1)
/dports/math/R/R-4.1.2/src/library/base/man/
H A Dinteger.Rd44 sign). Non-integral numeric values are truncated towards zero (i.e.,
73 page) to convert to integral values.
83 function(x, tol = .Machine$double.eps^0.5) abs(x - round(x)) < tol
/dports/math/libRmath/R-4.1.1/src/library/base/man/
H A Dinteger.Rd44 sign). Non-integral numeric values are truncated towards zero (i.e.,
73 page) to convert to integral values.
83 function(x, tol = .Machine$double.eps^0.5) abs(x - round(x)) < tol

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