/dports/math/maxima/maxima-5.43.2/doc/info/ |
H A D | stirling.texi | 2 * Functions and Variables for stirling:: 5 @node Functions and Variables for stirling, , stirling-pkg, stirling-pkg 6 @section Functions and Variables for stirling 8 @deffn {Function} stirling @ 9 @fname{stirling} (@var{z},@var{n}) @ 10 @fname{stirling} (@var{z},@var{n},@var{pred}) 20 (%i1) load ("stirling")$ 22 (%i2) stirling(gamma(%alpha+x)/gamma(x),1); 45 (%i5) stirling(gamma + gamma(x),0); 48 (%i6) stirling(gamma(y) + gamma(x),0); [all …]
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/dports/math/p5-Math-Prime-Util/Math-Prime-Util-0.73/t/ |
H A D | 27-bernfrac.t | 151 ok(!eval { stirling(-4, -3) }, "Expected fail: stirling with negative args"); 152 ok(!eval { stirling(4,3,4) }, "Expected fail: stirling type 4"); 160 my @s3 = map { stirling($n,$_,3) } 0..$n+1; 168 my @s2 = map { stirling($n,$_,2) } 0..$n+1; 176 my @s1 = map { stirling($n,$_,1) } 0..$n+1; 184 …is( stirling(114,85,2), '7220955878973829071186404526802420281957387619151442549709256586569359340… 185 …is( stirling(132,67,1), '-613245896607092078160768780923943353888383687176522550035151478512095732… 190 is(sumdigits(stirling(234,95)), 1485, "sumdigits(stirling(234,95))");
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/dports/math/maxima/maxima-5.43.2/share/contrib/ |
H A D | stirling.mac | 13 stirling(e) replaces all gamma functions in the expression 'e' with the zeroth 16 stirling(e, n) replaces all gamma functions in the expression 'e' with the O(1/x^(2n)) 19 stirling(e, n, pred) replaces all expressions of the form gamma(q) in 'e' with 27 (%i1) stirling(gamma(%alpha+x)/gamma(x),1); 36 The function 'stirling' knows the difference between the variable 'gamma' and 39 (%i4) stirling(gamma(gamma)); 42 To conditionally apply a Stirling expansion, give 'stirling' a third 46 (%i5) stirling(gamma(a) / gamma(a+b),1, symbolp); 52 (%i6) stirling(gamma(a) / gamma(a+b), 5, lambda([s], freeof('a,s))); 62 stirling(z, [a]) := block([n, s, acc : 0, %m, pred, zerobern : true], [all …]
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/dports/math/p5-Math-Prime-Util-GMP/Math-Prime-Util-GMP-0.52/t/ |
H A D | 24-bernfrac.t | 95 my @s2 = map { stirling($n,$_,3) } 0..$n+1; 103 my @s2 = map { stirling($n,$_,2) } 0..$n+1; 111 my @s1 = map { stirling($n,$_,1) } 0..$n+1; 118 is( stirling(246,61,3), '16781089031289908648739894658187968503831038435579384473036844176021715959… 119 is( stirling(137,14,2), '11992109155284903029871247278465531163645568016673318121268661391519332716… 120 is( stirling(99,14,1), '-76185801962487294910690331431878395972434237854033124053130281967496159110…
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/dports/math/pari/pari-2.13.3/src/test/in/ |
H A D | combinat | 1 vector(10, k, stirling(11,k)) 2 vector(11, k, stirling(12,k)) 3 vector(10, k, stirling(11,k, 2)) 4 vector(11, k, stirling(12,k, 2)) 9 stirling(100,0)
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/dports/science/gnudatalanguage/gdl-1.0.1/testsuite/ |
H A D | test_factorial.pro | 26 print, format=format_g, FACTORIAL(input, /ul64, /stirling) 27 print, format=format_g, FACTORIAL(input+0., /ul64, /stirling) 28 print, format=format_g, FACTORIAL(input, /stirling) 29 print, format=format_g, FACTORIAL(input+0., /stirling) 35 print, 'index | def. int | /ul64 | float | /stirling' 39 FACTORIAL(FLOAT(i)), FACTORIAL(i,/stirling)
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/dports/math/stanmath/math-4.2.0/stan/math/opencl/kernels/device_functions/ |
H A D | lbeta.hpp | 102 double stirling 104 return stirling + lgamma(x) + stirling_diff; 111 double stirling = (x - 0.5) * log(x_over_xy) + y * log1p(-x_over_xy) 113 return stirling + stirling_diff;
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/dports/math/stanmath/math-4.2.0/stan/math/prim/fun/ |
H A D | lbeta.hpp | 107 T_ret stirling = (y - 0.5) * log1m(x_over_xy) + x * (1 - log(x + y)); in lbeta() local 108 return stirling + lgamma(x) + stirling_diff; in lbeta() 114 T_ret stirling = (x - 0.5) * log(x_over_xy) + y * log1m(x_over_xy) in lbeta() local 116 return stirling + stirling_diff; in lbeta()
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/dports/lang/racket/racket-8.3/share/pkgs/math-lib/math/private/functions/ |
H A D | beta.rkt | 7 "stirling-error.rkt" 55 (* (fl/ (fl* (flexp-stirling a) (flexp-stirling b)) 56 (flexp-stirling (fl+ a b))) 61 (* (fl/ (fl* (flexp-stirling a) (flexp-stirling b)) 62 (flexp-stirling (fl+ a b))) 67 (: fllog-beta-stirling (Flonum Flonum -> Flonum)) 68 (define (fllog-beta-stirling a b) 95 [(y-est . > . (flexp 1.0)) (fllog-beta-stirling a b)] 121 (fllog-beta-stirling a b)])))])])))
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/dports/math/graphthing/graphthing-1.3.2/src/ |
H A D | math.cc | 66 int Math::stirling (int n, int k) in stirling() function in Math 79 return ((n - 1) * Math::stirling (n - 1, k) + in stirling() 80 Math::stirling (n - 1, k - 1)); in stirling()
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/dports/science/gnudatalanguage/gdl-1.0.1/src/pro/ |
H A D | factorial.pro | 1 function FACTORIAL, input, stirling=stirling, ul64=ul64 13 ; /stirling : Use the Stirling approximation 14 ; /ul64 : Use unsigned long 64 bit, ignored if stirling is set 62 if KEYWORD_SET(stirling) then begin
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/dports/lang/gcc6-aux/gcc-6-20180516/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/math/stanmath/math-4.2.0/test/unit/math/prim/fun/ |
H A D | lgamma_stirling_diff_test.cpp | 27 long double stirling in TEST() local 31 double diff_actual = static_cast<double>(lgamma_res - stirling); in TEST() 37 << "; stirling = " << stirling; in TEST()
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/dports/devel/arm-none-eabi-gcc492/gcc-4.9.2/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/lang/gnat_util/gcc-6-20180516/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/devel/tinygo/tinygo-0.14.1/llvm-project/llgo/third_party/gofrontend/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/devel/mingw32-gcc/gcc-4.8.1/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/lang/gcc48/gcc-4.8.5/libgo/go/math/ |
H A D | gamma.go | 95 func stirling(x float64) float64 { func 140 return stirling(x) 155 z = Pi / (Abs(z) * stirling(q))
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/dports/lang/gcc8/gcc-8.5.0/libgo/go/math/ |
H A D | gamma.go | 100 func stirling(x float64) (float64, float64) { func 148 y1, y2 := stirling(x) 167 sq1, sq2 := stirling(q)
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/dports/lang/gcc10/gcc-10.3.0/libgo/go/math/ |
H A D | gamma.go | 100 func stirling(x float64) (float64, float64) { func 148 y1, y2 := stirling(x) 167 sq1, sq2 := stirling(q)
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/dports/devel/riscv64-none-elf-gcc/gcc-8.4.0/libgo/go/math/ |
H A D | gamma.go | 100 func stirling(x float64) (float64, float64) { func 148 y1, y2 := stirling(x) 167 sq1, sq2 := stirling(q)
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/dports/lang/go-devel/go-dragonfly-amd64-bootstrap/src/math/ |
H A D | gamma.go | 100 func stirling(x float64) (float64, float64) { func 148 y1, y2 := stirling(x) 167 sq1, sq2 := stirling(q)
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/dports/lang/go-devel/go-becaeea1199b875bc24800fa88f2f4fea119bf78/src/math/ |
H A D | gamma.go | 100 func stirling(x float64) (float64, float64) { func 148 y1, y2 := stirling(x) 167 sq1, sq2 := stirling(q)
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/dports/math/sprng/sprng5/TESTS/mpitests/ |
H A D | coupon.cpp | 13 double stirling (int n, int m); 96 probability[r-d] = prod*stirling(r-1,d-1); in init_coupon() 101 probability[t-d] = 1.0 - prod*stirling(t-1,d); in init_coupon()
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/dports/math/sprng/sprng5/TESTS/ |
H A D | coupon.cpp | 17 double stirling (int n, int m); 100 probability[r-d] = prod*stirling(r-1,d-1); in init_coupon() 105 probability[t-d] = 1.0 - prod*stirling(t-1,d); in init_coupon()
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