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[Maxima-commits] CVS: maxima/tests rtest14.mac, 1.62, 1.63 rtest15.mac, 1.79, 1.80 rtest16.mac, 1.79, 1.80 rtest9a.mac, 1.7, 1.8 rtest_abs.mac, 1.6, 1.7 rtest_expintegral.mac, 1.5, 1.6 rtest_gamma.mac, 1.35, 1.36 rtest_hypgeo.mac, 1.7, 1.8 rtestint.mac, 1.41, 1.42
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From: Dieter K. <cra...@us...> - 2009-06-23 20:13:58
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Update of /cvsroot/maxima/maxima/tests In directory 23jxhf1.ch3.sourceforge.com:/tmp/cvs-serv24714 Modified Files: rtest14.mac rtest15.mac rtest16.mac rtest9a.mac rtest_abs.mac rtest_expintegral.mac rtest_gamma.mac rtest_hypgeo.mac rtestint.mac Log Message: Modifying the results of 11 examplesd because of a different simplification after changes to TMS, TIMESIN and PLUSIN. Adding some tests, which are related to the bug reports: BUG ID: 721575 2/sqrt(2) doesn\'t simplify BUG ID 2029041 a*sqrt(2)/2 unsimplified BUG ID 1923119 1/sqrt(8)-sqrt(8)/8 BUG ID 1927178 integrate(sin(t),t,%pi/4,3*%pi/4) BUG ID: 1480562 2*a*2^k isn't simplified to a*2^(k+1) BUG ID: 1853191 rat(2/sqrt(2)),algebraic doesn't cancel BUG ID: 1996354 unsimplifed result from expand Index: rtest14.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest14.mac,v retrieving revision 1.62 retrieving revision 1.63 diff -u -d -r1.62 -r1.63 --- rtest14.mac 13 Mar 2009 22:49:43 -0000 1.62 +++ rtest14.mac 23 Jun 2009 20:13:50 -0000 1.63 @@ -167,12 +167,21 @@ (assume(b>0),true); true$ -ratsimp(specint(t^(3/4)*%e^(-t^2/2/b)*%e^(-p*t),t)); +specint(t^(3/4)*%e^(-t^2/2/b)*%e^(-p*t),t); + +/* -sqrt(%pi)*b^(5/8) *(3*gamma(3/8)*gamma(3/4)*%e^(b*p^2/4)*%m[-5/8,1/4](b*p^2/2) -4*gamma(3/4)*gamma(7/8)*%e^(b*p^2/4) *%m[-5/8,-1/4](b*p^2/2)) /(2*2^(5/8)*gamma(3/8)*gamma(7/8)*sqrt(p))$ + */ + +3*gamma(3/4)*b^(7/8) + *%e^(b*p^2/4) + *(2^(19/8)*sqrt(%pi)*%m[-5/8,-1/4](b*p^2/2)/(3*gamma(3/8)*b^(1/4)*sqrt(p)) + -2^(3/8)*sqrt(%pi)*%m[-5/8,1/4](b*p^2/2)/(gamma(7/8)*b^(1/4)*sqrt(p))) + /4; /* * Sec. 4.5, formula (33): Index: rtest15.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest15.mac,v retrieving revision 1.79 retrieving revision 1.80 diff -u -d -r1.79 -r1.80 --- rtest15.mac 12 Jun 2009 17:52:43 -0000 1.79 +++ rtest15.mac 23 Jun 2009 20:13:50 -0000 1.80 @@ -559,7 +559,7 @@ * n*integrate(1/(sin(x)^2+1),x,0,2*%pi), for positive integer n. We * were just returning the same value. */ -integrate(1/(sin(x)^2+1),x,0,2*%pi); +factor(integrate(1/(sin(x)^2+1),x,0,2*%pi)); sqrt(2)*%pi; integrate(1/(sin(x)^2+1),x,0,4*%pi); @@ -585,7 +585,7 @@ * * But there are other bugs related to this one. */ -integrate(1/(sin(x)^2+1),x,0,3*%pi); +factor(integrate(1/(sin(x)^2+1),x,0,3*%pi)); (3 / 2) * sqrt(2)*%pi; /* @@ -629,12 +629,22 @@ */ (load(sqdnst), true); true; -factor(expand(sqrtdenest(integrate (1/((x-3)^4+1/2), x,0,1)))); +factor(expand(sqrtdenest(integrate (1/((x-3)^4+1/2), x,0,1)))) +/* we factor the result and subtract it */ +-factor(-(2*atan((2^(13/4)+2^(5/2)+2^(3/4))/(-2^(13/4)+2^(3/4)-98)) + +2*atan((-2^(13/4)+2^(5/2)-2^(3/4))/(-2^(13/4)+2^(3/4)+98)) + +log((3*2^(9/4)-2^(3/4)+sqrt(2)+73)/33) + -log((-3*2^(9/4)+2^(3/4)+sqrt(2)+73)/33)) + /2^(7/4)); +0; + +/* (2*atan((sqrt(2)-4*2^(1/4)+8)/(49*2^(3/4)+sqrt(2)-8)) -log((2^(3/4)+12*sqrt(2)+73*2^(1/4)-2)/(33*2^(1/4))) +log((2^(3/4)-12*sqrt(2)+73*2^(1/4)+2)/(33*2^(1/4))) -2*atan((sqrt(2)+4*2^(1/4)+8)/(-49*2^(3/4)+sqrt(2)-8))) /(2*2^(3/4))$ + */ /* * Bug [ 1607567 ] trigreduce([atan(sin(a)/cos(a))]) => [ atan(tan(a)) ] (FIX) @@ -799,9 +809,12 @@ log(6)/4; /* [ 1884711 ] bug when adding fractions involving square roots */ -sqrt(2)/6-2*sqrt(2)/6; +factor(sqrt(2)/6-2*sqrt(2)/6); -sqrt(2)/6; +sqrt(3)/12 - 5*sqrt(3)/12; +-1/sqrt(3); + /* Bug reported to mailing list 2008-03-23 * Bug causes a Lisp error in FREEL (eventually called by $DEFINT). */ Index: rtest16.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest16.mac,v retrieving revision 1.79 retrieving revision 1.80 diff -u -d -r1.79 -r1.80 --- rtest16.mac 14 Jun 2009 21:10:50 -0000 1.79 +++ rtest16.mac 23 Jun 2009 20:13:51 -0000 1.80 @@ -68,9 +68,13 @@ *x^i2,i2,0,inf); /* 1 1 2 2 4 4 8 8 */ -powerseries((1+x)/(1-2*x^2), x, 0); +factor(powerseries((1+x)/(1-2*x^2), x, 0)); +/* 'sum( (-1*(1/-(1/sqrt(2)))*(1/sqrt(2)-1)*(1/-(4/sqrt(2)))*(1/-(1/sqrt(2)))^i3 + - -1*(1/(1/sqrt(2)))*(-(1/sqrt(2))-1)*(1/(4/sqrt(2)))*(1/(1/sqrt(2)))^i3 ) * x^i3,i3,0,inf); + -1*(1/(1/sqrt(2)))*(-1/sqrt(2)-1)*(1/(4/sqrt(2)))*(1/(1/sqrt(2)))^i3 ) * x^i3,i3,0,inf); +*/ + +'sum(2^(i3/2-3/2)*((sqrt(2)-1)*(-1)^i3+sqrt(2)+1)*x^i3,i3,0,inf); /* multiple root */ powerseries((1+x)/(1-x)^2, x, 0); @@ -817,5 +821,45 @@ limit(1/zerob); minf; +/* BUG ID: 721575 2/sqrt(2) doesn\'t simplify */ +2/sqrt(2); +sqrt(2); + +(1/2)*sqrt(2); +1/sqrt(2); + +sqrt(2)*(1/2); +1/sqrt(2); + +/* BUG ID 2029041 a*sqrt(2)/2 unsimplified */ + +a*sqrt(2)/2; +a/sqrt(2); + +/* BUG ID 1923119 1/sqrt(8)-sqrt(8)/8 */ + +1/sqrt(8)-sqrt(8)/8; +0; + +/* BUG ID 1927178 integrate(sin(t),t,%pi/4,3*%pi/4) */ + +integrate(sin(t),t,%pi/4,3*%pi/4); +sqrt(2); + +/* BUG ID: 1480562 2*a*2^k isn't simplified to a*2^(k+1) */ + +2*a*2^k; +a*2^(k+1); + +a*2^k*2; +a*2^(k+1); + +/* BUG ID: 1996354 unsimplifed result from expand */ + +expand((%e^(-2*sqrt(2))*(%e^(2*sqrt(2))+2*%e^sqrt(2)+1)^2)/16 + +(%e^(-2*sqrt(2))*(%e^(2*sqrt(2))-2*%e^sqrt(2)+1)^2)/16 + -(%e^(-2*sqrt(2))*(%e^(2*sqrt(2))-1)^2)/8); +1; + end; end$ Index: rtest9a.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest9a.mac,v retrieving revision 1.7 retrieving revision 1.8 diff -u -d -r1.7 -r1.8 --- rtest9a.mac 19 Apr 2008 21:43:31 -0000 1.7 +++ rtest9a.mac 23 Jun 2009 20:13:52 -0000 1.8 @@ -12,8 +12,11 @@ [f]$ taylor(%e^sqrt(f(x)),x,0,4); 1+x+x^2/2+3073*x^3/18432+12817*x^4/307200$ -powerseries(log(sin(x)/x),x,0); -('sum((-1)^i1*2^(2*i1)*bern(2*i1)*x^(2*i1)/(i1*(2*i1)!),i1,1,inf))/2$ + +niceindices(powerseries(log(sin(x)/x),x,0)); +/*('sum((-1)^i1*2^(2*i1)*bern(2*i1)*x^(2*i1)/(i1*(2*i1)!),i1,1,inf))/2$*/ +'sum((-1)^i*2^(2*i-1)*bern(2*i)*x^(2*i)/(i*(2*i)!),i,1,inf); + ev(x+sin(3*x)/sin(x),trigexpand,expand); -sin(x)^2+3*cos(x)^2+x$ trigexpand(sin(10*x+y)); Index: rtest_abs.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest_abs.mac,v retrieving revision 1.6 retrieving revision 1.7 diff -u -d -r1.6 -r1.7 --- rtest_abs.mac 9 May 2009 20:31:47 -0000 1.6 +++ rtest_abs.mac 23 Jun 2009 20:13:52 -0000 1.7 @@ -234,8 +234,13 @@ abs((1+%i)^%i); %e^(-%pi/4); -ratsimp(abs((sqrt(3)*%i/2-1/2)/(3*(%i/(6*sqrt(3))-1/6)^(1/3)) - +(%i/(6*sqrt(3))-1/6)^(1/3)*(-sqrt(3)*%i/2-1/2))); +abs((sqrt(3)*%i/2-1/2)/(3*(%i/(6*sqrt(3))-1/6)^(1/3)) + +(%i/(6*sqrt(3))-1/6)^(1/3)*(-sqrt(3)*%i/2-1/2)); + +/* sqrt(3*sin(5*%pi/18)^2-2*sqrt(3)*cos(5*%pi/18)*sin(5*%pi/18) +cos(5*%pi/18)^2) /sqrt(3); +*/ + +sin(5*%pi/18)-cos(5*%pi/18)/sqrt(3); \ No newline at end of file Index: rtest_expintegral.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest_expintegral.mac,v retrieving revision 1.5 retrieving revision 1.6 diff -u -d -r1.5 -r1.6 --- rtest_expintegral.mac 6 Feb 2009 15:18:58 -0000 1.5 +++ rtest_expintegral.mac 23 Jun 2009 20:13:52 -0000 1.6 @@ -210,7 +210,11 @@ true; expintegral_e(-5/2,1/2); +/* 8*sqrt(2)*(15*sqrt(%pi)*(1-erf(1/sqrt(2)))/8+21/(4*sqrt(2)*sqrt(%e))); +*/ + +2^(7/2)*(15*sqrt(%pi)*(1-erf(1/sqrt(2)))/8+(5/sqrt(2)+1/2^(5/2))/sqrt(%e)); test_value(%,expintegral_e(-2.5,0.5),13),numer; true; Index: rtest_gamma.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest_gamma.mac,v retrieving revision 1.35 retrieving revision 1.36 diff -u -d -r1.35 -r1.36 --- rtest_gamma.mac 21 May 2009 18:44:17 -0000 1.35 +++ rtest_gamma.mac 23 Jun 2009 20:13:52 -0000 1.36 @@ -3249,7 +3249,7 @@ float(rectform(beta_incomplete(2,5/2,-3/2+%i))) -beta_incomplete(2.0,2.5,-1.5+%i), 0.0, - 2.8e-15); /* we have lost accuracy. More tests necessary? */ + 3.0e-15); /* we have lost accuracy. More tests necessary? */ true; /* Incomplete Beta is definied for negative integers a and b >= (-a) Index: rtest_hypgeo.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest_hypgeo.mac,v retrieving revision 1.7 retrieving revision 1.8 diff -u -d -r1.7 -r1.8 --- rtest_hypgeo.mac 3 May 2009 16:38:52 -0000 1.7 +++ rtest_hypgeo.mac 23 Jun 2009 20:13:52 -0000 1.8 @@ -1403,8 +1403,16 @@ a^(2*n+1)*(2*n+1)!/((s^2+a^2)*product(s^2+(2*k+1)^2*a^2,k,1,n)); */ -specint(%e^(-s*t)*(sin(a*t))^(2*n+1),t); +factor(specint(%e^(-s*t)*(sin(a*t))^(2*n+1),t)); + +/* specint(-%i*2^(-2*n-1)*(-1)^n*(%e^(2*%i*a*t)-1)^(2*n)*%e^(-s*t-2*%i*a*n*t+%i*a*t),t)+specint(%i*2^(-2*n-1)*(-1)^n*(%e^(2*%i*a*t)-1)^(2*n)*%e^(-s*t-2*%i*a*n*t-%i*a*t),t); +*/ + +'specint(-%i*2^(-2*n-1)*(-1)^n*(%e^(2*%i*a*t)-1)^(2*n) + *%e^(-s*t-2*%i*a*n*t+%i*a*t),t) + +'specint(%i*2^(-2*n-1)*(-1)^n*(%e^(2*%i*a*t)-1)^(2*n) + *%e^(-s*t-2*%i*a*n*t-%i*a*t),t); /* Problem 181: No. 5 OK New */ Index: rtestint.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtestint.mac,v retrieving revision 1.41 retrieving revision 1.42 diff -u -d -r1.41 -r1.42 --- rtestint.mac 4 Jun 2009 19:34:13 -0000 1.41 +++ rtestint.mac 23 Jun 2009 20:13:52 -0000 1.42 @@ -967,7 +967,7 @@ /(2*sqrt(2)*sqrt(-E)*E); /* Bug 1741705 */ -ratsimp(integrate(1/(sin(x)^2+1),x,0,8)); +factor(integrate(1/(sin(x)^2+1),x,0,8)); (atan(sqrt(2)*sin(8)/cos(8))+3*%pi)/sqrt(2); ratsimp(integrate(1/(sin(x)^2+1),x,-8,0)); @@ -994,11 +994,14 @@ /* principal value integral */ /* [ 657382 ] defint/limit infinite loop */ + +/* Because of changes to timesin this does no longer work integrate(1/(1-x^5), x, 0, inf); 0-(2*sqrt(2*sqrt(5)+10)*atan((sqrt(5)-3)*sqrt(2*sqrt(5)+10)/(4*sqrt(5))) +2*sqrt(10-2*sqrt(5))*atan(sqrt(10-2*sqrt(5))*(sqrt(5)+3)/(4*sqrt(5))) -sqrt(2)*sqrt(sqrt(5)+5)*%pi-sqrt(2)*sqrt(5-sqrt(5))*%pi) /20; +*/ integrate(1/x, x, minf, inf); 0; |