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/dports/math/giacxcas/giac-1.6.0/check/
H A Dtestintegrate2 integrate(1/(x**4-1)**10,x);
4 integrate(x/((x-1)*(x+1)**2),x);
5 integrate(x/((x+1)*(x**4-1)),x);
7 integrate(1/(x**4-1)**2,x);
8 integrate(1/(x**4+1)**2,x);
9 integrate(1/(x**4+1)**4,x);
21 integrate(sin(pi/2-2*x),x);
24 integrate(1/cos(x)**25,x);
33 integrate(x/sqrt(x+1),x);
39 integrate(x*atan(x),x);
[all …]
/dports/math/maxima/maxima-5.43.2/tests/
H A Drtest_integrate_special.mac14 integrate(gamma_incomplete(a,z),z);
30 integrate(expintegral_e(v,z),z);
41 integrate(expintegral_e1(z),z);
49 integrate(expintegral_ei(z),z);
178 integrate(bessel_j(0,x),x);
181 integrate(bessel_j(1,x),x);
184 integrate(bessel_j(2,x),x);
187 integrate(bessel_j(n,x),n);
188 'integrate(bessel_j(n,x),n);
191 integrate(psi[0](x),x);
[all …]
H A Drtestint.mac25 integrate(1/x/sqrt(x^2-1),x);
29 integrate(1/x/sqrt(x^2+1),x);
65 integrate(1/sqrt(R),x);
120 integrate(x/sqrt(R),x);
130 integrate(x^2/sqrt(R),x);
154 integrate(sqrt(R)/x,x);
167 integrate(sqrt(R)/x^2,x);
260 integrate(sqrt(R),x);
265 integrate(x*sqrt(R),x);
1706 integrate (integrate (sqrt (4*x^2 - y^2), x, y, 1), y, 0, 1)$
[all …]
/dports/math/py-pygsl/pygsl-2.3.0/tests/
H A Dintegrate_test.py7 from pygsl import integrate
12 self.w = integrate.workspace(1000000)
75 table = integrate.qawo_table(1, 2*Numeric.pi, integrate.COSINE, 100)
93 table1 = integrate.qawo_table(1, 100, integrate.SINE, 100)
96 table2 = integrate.qawo_table(-1, 100, integrate.SINE, 100)
120 self.run_qag(integrate.GAUSS61)
123 self.run_qag(integrate.GAUSS51)
126 self.run_qag(integrate.GAUSS41)
129 self.run_qag(integrate.GAUSS31)
132 self.run_qag(integrate.GAUSS21)
[all …]
/dports/math/py-sympy/sympy-1.9/sympy/integrals/tests/
H A Dtest_failing_integrals.py23 assert not integrate(sign(x), x).has(Integral)
44 assert integrate(integrate(integrate(
62 assert not integrate(
71 assert not integrate(cos(x)**y, x).has(Integral)
111 i = integrate(1/(1+sqrt(tan(x))), (x, pi/3, pi/6))
117 i = integrate(x*sin(x)/(1+cos(x)**2), (x, 0, pi))
123 i = integrate(x*sec(x)**2, x)
158 i = integrate(log(1-x)*log((1+x)**2)/x, (x, 0, 1))
176 i = integrate(x*acos(1 - 2*x/h), (x, 0, h))
189 i = integrate(log(sin(x)), (x, 0, pi/2))
[all …]
H A Dtest_integrals.py35 integrate(p, x)
237 qx = integrate(p, x)
239 qy = integrate(p, y)
272 assert integrate(x) == x**2/2
415 assert integrate(fun, z) == r
610 assert integrate(integrate((4 - 4*x + x*y - 4*y) * \
1168 assert integrate(f, x) == g
1308 g = integrate(f, x).diff(x)
1507 assert integrate(f, x) == \
1708 assert integrate(integrate(summation(sin(n*x), (n,1,N)), x), x) == \
[all …]
H A Dtest_meijerint.py104 e = integrate(r, (x, 0, oo), meijerg=True)
122 assert integrate(meijerg([], [], [0], [], s*t)
360 assert integrate(erf(x**3), x, meijerg=True) == \
510 assert mysimp(integrate(dist, (x, 0, oo))) == 1
511 assert mysimp(integrate(x*dist, (x, 0, oo))) == mu
528 assert simplify(integrate(distn, (x, 0, oo))) == 1
540 assert simplify(integrate(distn, (x, 0, oo))) == 1
604 assert integrate(expint(1, x), x, meijerg=True
606 assert integrate(expint(2, x), x, meijerg=True
661 anti = integrate(expr, x, meijerg=True)
[all …]
/dports/math/fricas/fricas-1.3.7/src/input/
H A Dintef.input9 integrate(%,x)
12 integrate(1/(x^2 + a),x)
20 integrate(%,x)
22 integrate(%,x)
25 integrate(%, x)
27 integrate(%, x)
30 integrate(%, x)
33 integrate(tan(atan(x)/2), x)
34 integrate(tan(atan(x)/3), x)
39 integrate(x/(1-x^3), x)
[all …]
H A Ddanzwill.input23 i1 := integrate( sin(x), x)
24 --i2 := integrate( sqrt(tan(x)), x)
25 i3 := integrate( x/(x^3-1),x)
26 i4 := integrate( x/sin(x)^2, x)
27 i5 := integrate( log(x)/sqrt(x+1), x)
28 i6 := integrate( exp(-a*x^2), x)
29 i7 := integrate( x/(log(x))^3, x)
31 i9 := integrate( 1/(2+cos(x)),x)
32 i10:= integrate( sin(x)/x^2, x)
34 d1:= integrate( 1/(2+cos(x)),x=0..4*%pi)
[all …]
H A Dmapleok.input156 in1118:=integrate(acot(z), z= 0..1/2*I)
168 in1120a:=integrate((z^2)^(1/2), z= 1..2)
1873 in13:=integrate(cos(z)^2*sin(z)^n, z)
2340 in156a:=integrate(z^(2/3), z= 1..10)
2353 in160:=integrate((-z^2-z)^sin(z), z)
2456 in161:=integrate((-z^2)^(1/3), z)
2472 in166:=integrate((1+z)^z, z)
2480 in179:=integrate(1/(1+(3*z+1)^2), z)
2737 in183:=integrate(1/z, z= I..2*I)
3725 in25:=integrate(cos(z), z= I..a)
[all …]
/dports/math/maxima/maxima-5.43.2/share/integequations/
H A Dintexs.mac3 10*'integrate((1+x)*p(u)^2/(1+u),u,0,x)-p(x)$
4 eq[1]:p(x)-x-'integrate(p(u)*sum((x*u)^i,i,0,5),u,0,1)$
7 eq[4]:'integrate(p(u)/sqrt(x-u),u,0,x)-x$
17 eq[14]:p(x)-'integrate(p(u)*u^(x-1),u,0,x)$
19 eq[16]:p(x)-'integrate(p(u)^a,u,0,x)$
20 eq[17]:p(x)-1+'integrate(p(u)/sqrt(x-u),u,0,x)$
22 eq[19]:p(x)-'integrate(u^(x-u)*p(u),u,0,x)$
23 eq[20]:p(x)-'integrate(sqrt(x^2-u^2)*p(u),u,0,x)$
35 eq[31]:p(x)-'integrate((x+u)*p(u)^2,u,0,1)$
36 eq[32]:p(x)-a-%l*'integrate(p(u)^2,u,0,1)$
[all …]
/dports/math/maxima/maxima-5.43.2/share/contrib/integration/
H A Drtest_abs_integrate.mac22 integrate(abs(x),x);
28 integrate(abs(sqrt(3)*x),x);
37 integrate(x*abs(x),x);
64 integrate(signum(x),x);
73 integrate(max(-x,x),x);
76 integrate(min(-x,x),x);
124 integrate(abs(x),x,1,2);
155 (i : integrate(f(x) * max(x,-x),x,0,1), ev(i, f(x) := x,integrate));
188 is(equal(integrate(exp(-abs(x)),x,-1,1), 2 * integrate(exp(-x),x,0,1)));
207 is(equal(op(integrate(signum(x + sqrt(1-x)),x)), nounify('integrate)));
[all …]
H A Drtest_abs_integrate.ERR-modified5 apply_abs_integrate(integrate(x*abs(x),x));
49 'integrate(x^2*abs(x),x,-a,a) */
56 'integrate(unit_step(x),x,a,b) */
66 'integrate(x*abs(x-a),x) */
133 apply_abs_integrate(integrate(f1,x,minf,inf)),f1 = 'integrate((unit_step(g45822)-unit_step(g45822-1…
136 'integrate('integrate((unit_step(g45822)-unit_step(g45822-1))
154 'integrate(xx*floor(xx),xx,0,x) */
161 'integrate(%if(-x > 0,-x,x),x,-5,z) */
168 [0,'integrate(%if(-x > 0,-x,x),x,-5,0),'integrate(%if(-x > 0,-x,x),x,-5,5)] */
226 'integrate(sqrt(x+sqrt(x)),x,0,1) */
[all …]
/dports/math/maxima/maxima-5.43.2/tests/wester_problems/
H A Dtest_definite_integrals.mac36 ev(%, integrate);
42 ev(%, integrate);
103 integrate(integrate(x/(x^2 + y^2), y, -inf, inf), x, a, b);
104 integrate(integrate(x/(x^2 + y^2), x, a, b), y, -inf, inf);
106 integrate(integrate(x/(x^2 + y^2), y, -inf, inf), x, a, b);
107 integrate(integrate(x/(x^2 + y^2), x, a, b), y, -inf, inf);
109 integrate(integrate(x/(x^2 + y^2), y, -inf, inf), x, a, b);
110 integrate(integrate(x/(x^2 + y^2), x, a, b), y, -inf, inf);
114 integrate(integrate(sqrt(x^2 + y^2), x, 0, 1), y, 0, 1);
127 integrate(integrate(abs(y - x^2), y, 0, 2), x, -1, 1);
[all …]
/dports/math/py-Diofant/Diofant-0.13.0/diofant/tests/integrals/
H A Dtest_integrals.py242 qx = integrate(p, x)
243 qy = integrate(p, y)
258 Qx = integrate(p, (x, 0, 1))
259 Qy = integrate(p, (y, 0, pi))
272 assert integrate(x) == x**2/2
341 fid = diff(integrate(f, x), x)
529 assert integrate(integrate((4 - 4*x + x*y - 4*y) *
995 assert integrate(f, x) == g
1107 g = integrate(f, x).diff(x)
1377 ans = f.integrate(t)
[all …]
H A Dtest_meijerint.py117 e = integrate(r, (x, 0, oo), meijerg=True)
133 assert integrate(meijerg([], [], [0], [], s*t)
236 assert integrate(exp(I*x)/(1 + x**2),
241 assert integrate(1/x**2, (x, oo, a)) == -1/a
339 assert integrate(erf(x**3), x, meijerg=True) == \
493 assert mysimp(integrate(dist, (x, 0, oo))) == 1
494 assert mysimp(integrate(x*dist, (x, 0, oo))) == mu
549 assert simplify(integrate(exp(-z*x)/x**y,
581 assert (integrate(expint(1, x), x,
584 assert (integrate(expint(2, x), x,
[all …]
/dports/science/tinker/tinker/source/
H A Ddynamic.f57 integrate = 'BEEMAN'
65 call getword (record,integrate,next)
66 call upcase (integrate)
146 if (integrate.eq.'BUSSI' .or. integrate.eq.'NOSE-HOOVER'
232 if (integrate .eq. 'VERLET') then
240 else if (integrate .eq. 'BAOAB') then
244 else if (integrate .eq. 'BUSSI') then
252 else if (integrate .eq. 'GHMC') then
260 else if (integrate .eq. 'RESPA') then
274 if (integrate .eq. 'VERLET') then
[all …]
/dports/math/py-pygsl/pygsl-2.3.0/examples/
H A Dintegrate.py11 from pygsl import integrate
17 sys2 = integrate.gsl_function(f2, None)
21 sys1 = integrate.gsl_function(f1, None)
26 sys3 = integrate.gsl_function(f3, None)
28 w = integrate.workspace(1000000)
29 cyclew = integrate.workspace(1000000)
31 table1 = integrate.qawo_table(1, 100, integrate.SINE, 100)
32 table2 = integrate.qawo_table(-1, 100, integrate.SINE, 100)
37 flag, result1, error = integrate.qagp(sys2, pts, 1e-8, 1e-8, 100000, w)
38 flag, result2, error = integrate.qawf(sys1, numx.pi, 1e-8, 100, w,
[all …]
/dports/math/py-Diofant/Diofant-0.13.0/diofant/tests/functions/
H A Dtest_piecewise.py123 assert integrate(p, x) == p_int
128 assert integrate(p, (x, -oo, oo)) == 2
169 assert integrate(g, (x, -1, 1)) == 0
192 assert integrate(g, (x, -5, 1)) == 1
195 assert integrate(g, (x, 1, -5)) == -1
208 assert integrate(g, (x, -5, 1)) == 1
211 assert integrate(g, (x, 1, -5)) == -1
225 assert integrate(g, (x, -5, 0)) == 0
278 assert integrate(p, (x, 1, 3)) == \
340 assert integrate(
[all …]
/dports/math/maxima/maxima-5.43.2/share/contrib/noninteractive/
H A Drtest_noninteractive.mac13 integrate(exp(a*x),x,0,inf);
18 integrate(x^k,x);
21 integrate(x^k,x,1,b);
55 integrate(1/x,x,a,4);
59 integrate(x^k,x,0,1);
74 integrate(integrate(p2^2,x1,(-4*%pi)/kp,4*%pi/kp),x2,5*%pi/kp/2,7*%pi/kp/2);
130 integrate(integrate(integrate(tmpp,x3,0,-x2-x1+1),x2,0,1-x1),x1,0,1));
133 integrate(integrate(integrate(tmpp,x3,0,''(-x2-x1+1)),x2,0,''(1-x1)),x1,0,
136 integrate(integrate(integrate(tmpp,x3,0,''(-x2-x1+1)),x2,0,''(1-x1)),x1,0,
139 integrate(integrate(integrate(tmpp,x3,0,''(-x2-x1+1)),x2,0,''(1-x1)),x1,0,
[all …]
/dports/devel/aegis/aegis-4.25.D510/test/01/
H A Dt0159a.sh216 activity="integrate begin 202"
220 activity="integrate build 206"
224 activity="integrate diff 210"
228 activity="integrate pass 214"
282 activity="integrate begin 268"
290 activity="integrate diff 276"
294 activity="integrate pass 280"
346 activity="integrate diff 332"
350 activity="integrate pass 336"
404 activity="integrate diff 390"
[all …]
/dports/math/maxima/maxima-5.43.2/share/numeric/
H A Drtest_romberg.mac11 ''(apply (integrate, I),
16 ''(integrate (x^2 - 5, x, 0, 10),
30 ''(integrate (integrate (sin(a)*cos(x) - a*x, x, 0, 10), a, 1, 3),
40 ''(integrate (bar (a), a, 0, 10),
72 integrate (f (x, z), x, 0, 200),
84 ''(integrate (f (x), x, a, b),
95 integrate (f (x), x, sin(%e), %pi^%e),
118 ''(ev (integrate (e1, x,0,1)
119 + integrate (e2, x,5/2,4)
120 + integrate (e3, x,2,5/2)
[all …]
/dports/devel/py-pop-config/pop-config-1eff06ef08c51355dd27165abeacaeb7d03f2f8f/tests/integration/
H A Dtest_basic.py15 hub.config.integrate.load(["m1", "m2"], "m1")
22 hub.config.integrate.load("c1", "c1")
31 hub.config.integrate.load("rend1", "rend1")
61 hub.config.integrate.load("c1", "c1")
82 hub.config.integrate.load("c1", "c1")
90 hub.config.integrate.load("c1", "c1")
98 hub.config.integrate.load("c1", "c1")
114 hub.config.integrate.load("c1", "c1")
153 hub.config.integrate.load("d1", "d1")
164 hub.config.integrate.load("d1", "d1")
[all …]
/dports/math/R/R-4.1.2/src/library/stats/man/
H A Dintegrate.Rd1 % File src/library/stats/man/integrate.Rd
6 \name{integrate}
7 \alias{integrate}
8 \alias{print.integrate}
96 integrate(dnorm, -1.96, 1.96)
97 integrate(dnorm, -Inf, Inf)
110 try(integrate(f, 0, 1))
115 integrate(dnorm, 0, 2)
116 integrate(dnorm, 0, 20)
117 integrate(dnorm, 0, 200)
[all …]
/dports/math/libRmath/R-4.1.1/src/library/stats/man/
H A Dintegrate.Rd1 % File src/library/stats/man/integrate.Rd
6 \name{integrate}
7 \alias{integrate}
8 \alias{print.integrate}
96 integrate(dnorm, -1.96, 1.96)
97 integrate(dnorm, -Inf, Inf)
110 try(integrate(f, 0, 1))
115 integrate(dnorm, 0, 2)
116 integrate(dnorm, 0, 20)
117 integrate(dnorm, 0, 200)
[all …]

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