From d6bb375789821f4e4e175465f50e77e8a6b1aaf7 Mon Sep 17 00:00:00 2001
From: Alexander Nguyen <alexander.nguyen@stud.hfm-karlsruhe.de>
Date: Sun, 09 Mar 2025 18:42:11 +0100
Subject: [PATCH] feat: implemented encoding up to 7th order
---
sources/classes/sox-hoaencode.lisp | 92 +++++++++++++++++++++++++++++++++++++++++++---
1 files changed, 86 insertions(+), 6 deletions(-)
diff --git a/sources/classes/sox-hoaencode.lisp b/sources/classes/sox-hoaencode.lisp
index 8017c38..def1f08 100644
--- a/sources/classes/sox-hoaencode.lisp
+++ b/sources/classes/sox-hoaencode.lisp
@@ -45,16 +45,58 @@
(1 1)
(2
(ecase (abs degree)
- (2 (/ (sqrt 3) 6))
- (1 (/ (sqrt 3) 3))
(0 1)
+ (1 (/ (sqrt 3) 3))
+ (2 (/ (sqrt 3) 6))
))
(3
(ecase (abs degree)
- (3 (/ (sqrt 10) 60))
- (2 (/ (sqrt 15) 30))
- (1 (/ (sqrt 6) 6))
(0 1)
+ (1 (/ (sqrt 6) 6))
+ (2 (/ (sqrt 15) 30))
+ (3 (/ (sqrt 10) 60))
+ )
+ )
+ (4
+ (ecase (abs degree)
+ (0 1)
+ (1 (/ (sqrt 10) 10))
+ (2 (/ (sqrt 5) 30))
+ (3 (/ (sqrt 70) 420))
+ (4 (/ (sqrt 35) 840))
+ )
+ )
+ (5
+ (ecase (abs degree)
+ (0 1)
+ (1 (/ (sqrt 15) 15))
+ (2 (/ (sqrt 105) 210))
+ (3 (/ (sqrt 70) 840))
+ (4 (/ (sqrt 35) 2520))
+ (5 (/ (sqrt 14) 5040))
+ )
+ )
+ (6
+ (ecase (abs degree)
+ (0 1)
+ (1 (/ (sqrt 21) 21))
+ (2 (/ (sqrt 210) 420))
+ (3 (/ (sqrt 210) 2520))
+ (4 (/ (sqrt 7) 2520))
+ (5 (/ (sqrt 154) 55440))
+ (6 (/ (sqrt 462) 332640))
+ )
+ )
+ (7
+ (ecase (abs degree)
+ (0 1)
+ (1 (/ (sqrt 7) 14))
+ (2 (/ (sqrt 42) 252))
+ (3 (/ (sqrt 21) 1260))
+ (4 (/ (sqrt 231) 27720))
+ (5 (/ (sqrt 231) 166320))
+ (6 (/ (sqrt 6006) 4324320))
+ (7 (/ (sqrt 429) 4324320))
)
)
)
@@ -89,7 +131,7 @@
(2
(ecase (abs degree)
(0 (- (/ (* 3 (expt (sin phi) 2)) 2) (/ 1 2)))
- (1 (/ (* 3 (expt (sin phi) 2)) 2))
+ (1 (/ (* 3 (* (sin phi) 2)) 2))
(2 (* 3 (expt (cos phi) 2)))
))
(3
@@ -99,6 +141,44 @@
(2 (* -15 (sin phi) (- (expt (sin phi) 2) 1)))
(3 (* 15 (expt (cos phi) 3)))
))
+ (4
+ (ecase (abs degree)
+ (0 (+ (/ (* 35 (expt (cos phi) 4)) 8) (- (* 5 (expt (cos phi) 2))) 1))
+ (1 (- (/ (* (sin (* 2 phi)) (- (/ (* 35 (expt (cos phi) 2)) 2) 10)) 2)))
+ (2 (- (/ (* (* 15 (expt (cos phi) 2)) (- (* 7 (expt (cos phi) 2)) 6)) 2)))
+ (3 (* 105 (expt (cos phi) 3) (sin phi) ))
+ (4 (* 105 (expt (cos phi) 4)))
+ ))
+ (5
+ (ecase (abs degree)
+ (0 (/ (* (sin phi) (+ (- (* 63 (expt (sin phi) 4)) (* 70 (expt (sin phi) 2))) 15)) 8))
+ (1 (/ (* 15 (sin phi) (+ (- (* 21 (expt (cos phi) 4)) (* 28 (expt (cos phi) 2))) 8)) 8))
+ (2 (- (/ (* 105 (sin phi) (+ (- (* 3 (expt (sin phi) 4)) (* 4 (expt (sin phi) 2))) 1)) 2)))
+ (3 (- (/ (* 105 (expt (cos phi) 3) (- (* 9 (expt (cos phi) 2)) 8)) 2)))
+ (4 (* 945 (sin phi) (expt (- (expt (sin phi) 2) 1) 2)))
+ (5 (* 945 (expt (cos phi) 5)))
+ ))
+ (6
+ (ecase (abs degree)
+ (0 (+ (- (/ (* 231 (expt (cos phi) 6)) 16)) (/ (* 189 (expt (cos phi) 4)) 8) (- (/ (* 21 (expt (cos phi) 2)) 2)) 1))
+ (1 (/ (* 21 (sin (* 2 phi)) (+ (* 33 (expt (sin phi) 4)) (- (* 30 (expt (sin phi) 2))) 5)) 16))
+ (2 (/ (* 105 (expt (cos phi) 2) (+ (* 33 (expt (cos phi) 4)) (- (* 48 (expt (cos phi) 2))) 16)) 8))
+ (3 (- (/ (* 315 (expt (cos phi) 3) (sin phi)) (- (* 11 (expt (cos phi) 2)) 8)) 2))
+ (4 (- (/ (* 945 (expt (cos phi) 4) (- (* 11 (expt (cos phi) 2)) 10)) 2)))
+ (5 (* 10395 (expt (cos phi) 5) (sin phi)))
+ (6 (* 10395 (expt (cos phi) 6)))
+ ))
+ (7
+ (ecase (abs degree)
+ (0 (/ (* (sin phi) (+ (* 429 (expt (sin phi) 6)) (- (* 693 (expt (sin phi) 4))) (* 315 (expt (sin phi) 2)) (- 35))) 16))
+ (1 (- (/ (* (* 7 (cos phi)) (+ (* 429 (expt (cos phi) 6)) (- (* 792 (expt (cos phi) 4))) (* 432 (expt (cos phi) 2)) (- 64))) 16)))
+ (2 (- (/ (* 63 (sin phi) (- (expt (sin phi) 2) 1) (+ (* 143 (expt (sin phi) 4)) (- (* 110 (expt (sin phi) 2))) 15)) 8)))
+ (3 (/ (* (* 315 (expt (cos phi) 3)) (+ (* 143 (expt (cos phi) 4)) (- (* 220 (expt (cos phi) 2))) 80)) 8))
+ (4 (/ (* 3465 (sin phi) (- (* 13 (expt (sin phi) 2)) 3) (expt (- (expt (sin phi) 2) 1) 2)) 2))
+ (5 (- (/ (* 10395 (expt (cos phi) 5) (- (* 13 (expt (cos phi) 2)) 12)) 2)))
+ (6 (* -135135 (sin phi) (expt (- (expt (sin phi) 2) 1) 3)))
+ (7 (* 135135 (expt (cos phi) 7)))
+ ))
)
))
--
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