From af3bad5b0ffbe0f19b0f85519c85a385326dec03 Mon Sep 17 00:00:00 2001
From: Samo Penic <samo@amalthea>
Date: Sat, 19 Mar 2011 21:10:19 +0000
Subject: [PATCH] Spherical harmonics should be ok. Note, that there are some difference from proposed theoretical scheme. Is Miha's theory wrong?
---
src/shdiscover.c | 5 +++--
src/sh.c | 8 ++++----
2 files changed, 7 insertions(+), 6 deletions(-)
diff --git a/src/sh.c b/src/sh.c
index b494b25..f0b19fa 100644
--- a/src/sh.c
+++ b/src/sh.c
@@ -64,11 +64,11 @@
fatal("Error using shY function!",1);
fac1=1.0;
- for(i=1; i<=l-m;i++){
+ for(i=1; i<=l-abs(m);i++){
fac1 *= i;
}
fac2=1.0;
- for(i=1; i<=l+m;i++){
+ for(i=1; i<=l+abs(m);i++){
fac2 *= i;
}
@@ -81,9 +81,9 @@
else {
//K=pow(-1.0,abs(m))*sqrt(1.0/(2.0*M_PI))*cos(m*fi);
if(abs(m)%2==0)
- K=sqrt(1.0/(M_PI))*sin(m*fi);
+ K=sqrt(1.0/(M_PI))*cos(m*fi);
else
- K=-sqrt(1.0/(M_PI))*sin(m*fi);
+ K=-sqrt(1.0/(M_PI))*cos(m*fi);
}
return K*sqrt((2.0*l+1.0)/2.0*fac1/fac2)*plgndr(l,abs(m),cos(theta));
diff --git a/src/shdiscover.c b/src/shdiscover.c
index 9783ef6..f16239f 100644
--- a/src/shdiscover.c
+++ b/src/shdiscover.c
@@ -24,14 +24,15 @@
ts_fprintf(stdout,"P(0,0,0.5)=%f (%f)\n",plgndr(0,0,0.5),1.0);
ts_fprintf(stdout,"P(1,0,0.5)=%f (%f)\n",plgndr(1,0,0.5),0.5);
ts_fprintf(stdout,"P(2,0,0.5)=%f (%f)\n",plgndr(2,0,0.5),0.5*(3*0.5*0.5-1));
+ts_fprintf(stdout,"P(2,2,0.5)=%f (ni to:%f)\n",plgndr(2,2,0.5),0.5*(3*0.5*0.5-1));
ts_fprintf(stdout,"Y(0,0,pi/6,pi/4)=%f (%f)\n",shY(0,0,M_PI/6,M_PI/4),sqrt(1/(4*M_PI)));
ts_fprintf(stdout,"Y(1,0,pi/6,pi/4)=%f (%f)\n",shY(1,0,M_PI/6,M_PI/4),sqrt(3/(4*M_PI))*cos(M_PI/6));
ts_fprintf(stdout,"Y(1,0,4*pi/6,6*pi/4)=%f (%f)\n",shY(1,0,4*M_PI/6,6*M_PI/4),sqrt(3/(4*M_PI))*cos(4*M_PI/6));
-ts_fprintf(stdout,"Y(1,1,pi/6,pi/4)=%f (%f)\n",shY(1,1,M_PI/6,M_PI/4),-sqrt(3/(8*M_PI))*sin(M_PI/6)*sin(M_PI/4));
+ts_fprintf(stdout,"Y(1,1,pi/6,pi/4)=%f (%f)\n",shY(1,1,M_PI/6,M_PI/4),-sqrt(3/(8*M_PI))*sin(M_PI/6)*cos(M_PI/4));
ts_fprintf(stdout,"Y(2,0,pi/6,pi/4)=%f (%f)\n",shY(2,0,M_PI/6,M_PI/4),sqrt(5/(4*M_PI))*(3.0/2.0*cos(M_PI/6)*cos(M_PI/6)-1.0/2.0));
ts_fprintf(stdout,"Y(2,-2,pi/6,pi/4)=%f (0)\n",shY(2,-2,M_PI/6,M_PI/4));
-ts_fprintf(stdout,"Y(2,2,pi/6,pi/4)=%f (0)\n",shY(2,2,M_PI/6,M_PI/4));
+ts_fprintf(stdout,"Y(2,2,pi/6,pi/3)=%f (%f)\n",shY(2,2,M_PI/6,M_PI/3), sqrt(15.0/(32.0*M_PI))*sin(M_PI/6)*sin(M_PI/6)*cos(2*M_PI/3));
for(j=1;j<argc;j++){
l=(int)sqrt(j-1); /* determine l from dataline */
--
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