diff --git a/STATUS.md b/STATUS.md
index f6d74d3f..771f26a7 100644
--- a/STATUS.md
+++ b/STATUS.md
@@ -253,10 +253,10 @@ Floating point mathematical routines - not official, but well known and broadly
| `$E097` | `rnd_FAC1` | DONE | |
| `$E09A` | `rnd_A` | DONE | |
| `$E0BE` | `rnd_generate` | DONE | |
-| `$E264` | `cos_FAC1` | PARTIAL | needs `sin_FAC1` |
-| `$E26B` | `sin_FAC1` | NOT DONE | some work already started |
+| `$E264` | `cos_FAC1` | PARTIAL | not fully tested yet |
+| `$E26B` | `sin_FAC1` | PARTIAL | not fully tested yet |
| `$E2B4` | `tan_FAC1` | PARTIAL | not fully tested yet |
-| `$E30E` | `atn_FAC1` | NOT DONE | |
+| `$E30E` | `atn_FAC1` | PARTIAL | not fully tested yet |
diff --git a/src/basic/,stubs_math/e26b.sin_FAC1.s b/src/basic/,stubs_math/e26b.sin_FAC1.s
deleted file mode 100644
index f1f2f340..00000000
--- a/src/basic/,stubs_math/e26b.sin_FAC1.s
+++ /dev/null
@@ -1,29 +0,0 @@
-;; #LAYOUT# STD * #TAKE
-;; #LAYOUT# * BASIC_0 #TAKE
-;; #LAYOUT# * * #IGNORE
-
-;
-; Math package - sine of FAC1 in radians
-;
-; See also:
-; - [CM64] Computes Mapping the Commodore 64 - page 210 - XXX address does not match
-; - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
-; - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
-;
-
-; XXX provide implementation
-
-sin_FAC1:
-
- +STUB_IMPLEMENTATION
-
-poly_sin:
-
- !byte $05 ; series length - 1
-
- +PUT_CONST_POLY_SIN_1
- +PUT_CONST_POLY_SIN_2
- +PUT_CONST_POLY_SIN_3
- +PUT_CONST_POLY_SIN_4
- +PUT_CONST_POLY_SIN_5
- +PUT_CONST_POLY_SIN_6
diff --git a/src/basic/math/FCOMP.s b/src/basic/math/FCOMP.s
index 1a754efd..9c38d69d 100644
--- a/src/basic/math/FCOMP.s
+++ b/src/basic/math/FCOMP.s
@@ -12,7 +12,7 @@
;
; Output:
; - .A - $00 for equal, $01 for FAC1 > RAM, $FF for FAC1 < RAM
-; - flags N/Z, depending on whether FAC1 is 0, positive, or negative
+; - flags N/Z, Z=1 if equal, N=1 if FAC1 < RAM, Z=0, N=0 if FAC1 > RAM
;
; Notes:
; - uses vector at $24, leaves FAC1 and FAC2 unchanged (Codebase64)
@@ -28,9 +28,6 @@ FCOMP:
sta INDEX+2
sty INDEX+3
- jsr sgn_FAC1_A ; Set N/Z flag for FAC1 and store on stack
- php
-
ldy #$01
lda (INDEX+2),Y
eor FAC1_sign ; Check if signs are different
@@ -69,7 +66,6 @@ FCOMP:
FCOMP_equal:
lda #$00
- plp
rts
@@ -78,7 +74,6 @@ FCOMP_less_than:
bpl FCOMP_FF
FCOMP_01:
lda #$01
- plp
rts
FCOMP_greater_than:
@@ -86,5 +81,4 @@ FCOMP_greater_than:
bpl FCOMP_01
FCOMP_FF:
lda #$FF
- plp
rts
diff --git a/src/basic/,stubs_math/e26b.interop b/src/basic/math/e26b.interop
similarity index 100%
rename from src/basic/,stubs_math/e26b.interop
rename to src/basic/math/e26b.interop
diff --git a/src/basic/math/e26b.sin_FAC1.s b/src/basic/math/e26b.sin_FAC1.s
new file mode 100644
index 00000000..65c48f0f
--- /dev/null
+++ b/src/basic/math/e26b.sin_FAC1.s
@@ -0,0 +1,55 @@
+;; #LAYOUT# STD * #TAKE
+;; #LAYOUT# * BASIC_0 #TAKE
+;; #LAYOUT# * * #IGNORE
+
+;
+; Math package - sine of FAC1 in radians
+;
+; See also:
+; - [CM64] Computes Mapping the Commodore 64 - page 210 - XXX address does not match
+; - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
+; - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
+; - https://www.c64-wiki.com/wiki/SIN
+
+
+
+sin_FAC1:
+
+ jsr mov_FAC1_FAC2 ; FAC1 <- X / (2*pi) (X2)
+ ldy #>const_DOUBLE_PI
+ lda #const_QUARTER
+ lda #sin_three_quarters
+ lda #const_ONE
+ lda #const_HALF
+ lda #poly_sin
+ lda # 1 set AX = 1/AX (we can use that arctan(x) = pi/2 - arctan(1/x) )
+; 4. Use polynomial to approximate arctan(AX) now since 0 <= AX <= 1
+; 5. Adjust sign of result and offset with pi/2 if needed as per above
+
+
+atn_FAC1:
+ lda FAC1_sign ; Save sign of FAC1 on the stack
+ pha
+ lda #$00 ; FAC1 = abs(FAC1)
+ sta FAC1_sign
+ sta TEMPF1 ; AX not scaled
+
+ lda #const_ONE
+ jsr FCOMP
+ bmi atn_skipscale
+
+ lda #const_ONE
+ jsr div_MEM_FAC1
+ inc TEMPF1 ; AX scaled
+
+atn_skipscale:
+ lda #poly_atn
+ jsr poly1_FAC1
+
+ lda TEMPF1
+ beq atn_skipoffset
+
+ lda #const_HALF_PI
+ jsr sub_MEM_FAC1
+
+atn_skipoffset:
+ pla
+ bpl atn_out
+ jmp toggle_sign_FAC1
+
+atn_out:
+ rts
diff --git a/src/basic/,stubs_math/e30e.interop b/src/basic/math/e30e.interop
similarity index 100%
rename from src/basic/,stubs_math/e30e.interop
rename to src/basic/math/e30e.interop
diff --git a/src/basic/,stubs_math/e30e.atn_FAC1.s b/src/basic/math/poly_atn.s
similarity index 56%
rename from src/basic/,stubs_math/e30e.atn_FAC1.s
rename to src/basic/math/poly_atn.s
index 5c5d53f3..da8a2bbc 100644
--- a/src/basic/,stubs_math/e30e.atn_FAC1.s
+++ b/src/basic/math/poly_atn.s
@@ -1,22 +1,10 @@
;; #LAYOUT# STD * #TAKE
-;; #LAYOUT# * BASIC_0 #TAKE
+;; #LAYOUT# X16 BASIC_0 #TAKE-OFFSET 2000
+;; #LAYOUT# * BASIC_0 #TAKE
;; #LAYOUT# * * #IGNORE
-;
-; Math package - arc tangent of FAC1
-;
-; See also:
-; - [CM64] Computes Mapping the Commodore 64 - page 211
-; - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
-; - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
-;
+; Polynomial for the atn function
-; XXX provide implementation
-
-atn_FAC1:
-
- +STUB_IMPLEMENTATION
-
poly_atn:
!byte $0B ; series length - 1
diff --git a/src/basic/math/poly_sin.s b/src/basic/math/poly_sin.s
new file mode 100644
index 00000000..1f37c2e6
--- /dev/null
+++ b/src/basic/math/poly_sin.s
@@ -0,0 +1,23 @@
+;; #LAYOUT# STD * #TAKE
+;; #LAYOUT# X16 BASIC_0 #TAKE-OFFSET 2000
+;; #LAYOUT# * BASIC_0 #TAKE
+;; #LAYOUT# * * #IGNORE
+
+; Polynomial for the sine function
+
+
+poly_sin:
+
+ !byte $05 ; series length - 1
+
+ +PUT_CONST_POLY_SIN_1
+ +PUT_CONST_POLY_SIN_2
+ +PUT_CONST_POLY_SIN_3
+ +PUT_CONST_POLY_SIN_4
+ +PUT_CONST_POLY_SIN_5
+ +PUT_CONST_POLY_SIN_6
+
+
+; Constant 0.75 needed for sine calculation
+sin_three_quarters:
+ !byte $80, $40, $00, $00, $00
diff --git a/strings/07A9E0A0E22050B86810034CB4BF60 b/strings/07A9E0A0E22050B86810034CB4BF60
new file mode 100644
index 00000000..dc79555c
--- /dev/null
+++ b/strings/07A9E0A0E22050B86810034CB4BF60
@@ -0,0 +1,3 @@
+$07 + LDA #$E0 + LDY #$E2 + JSR $B850 + PLA + BPL $03 + JMP $BFB4 + RTS
+
+Load address of known constant into YA + call well known floating point function + branch on top of stack and call other well known floating point function.
diff --git a/strings/0B76B383BDD3791EF4A6F57B83FCB0107C0C1F67CA7CDE53CBC17D1464704C7DB7EA517A7D6330887E7E9244993A7E4CCC91C77FAAAAAA138100000000 b/strings/0B76B383BDD3791EF4A6F57B83FCB0107C0C1F67CA7CDE53CBC17D1464704C7DB7EA517A7D6330887E7E9244993A7E4CCC91C77FAAAAAA138100000000
new file mode 100644
index 00000000..9680dddc
--- /dev/null
+++ b/strings/0B76B383BDD3791EF4A6F57B83FCB0107C0C1F67CA7CDE53CBC17D1464704C7DB7EA517A7D6330887E7E9244993A7E4CCC91C77FAAAAAA138100000000
@@ -0,0 +1 @@
+12 floating point numbers making upp the approximation polynomial for the ATN function. This polynomial is described in "Computer Approximations" by John Fraser Hart et al. (ISBN 0-88275-642-7) according to https://www.c64-wiki.com/wiki/POLY1
diff --git a/strings/85248425A0 b/strings/85248425A0
new file mode 100644
index 00000000..86536202
--- /dev/null
+++ b/strings/85248425A0
@@ -0,0 +1,3 @@
+STA $24 + STY $25 + LDY fragment
+
+Store YA to well known vector address in the zero page
diff --git a/strings/A0B9200FBB b/strings/A0B9200FBB
new file mode 100644
index 00000000..804e875a
--- /dev/null
+++ b/strings/A0B9200FBB
@@ -0,0 +1,3 @@
+LDY #$B9 + JSR $BB0F
+
+Partially set input and call well known floating point function
diff --git a/strings/A0E22050B8 b/strings/A0E22050B8
new file mode 100644
index 00000000..47f18913
--- /dev/null
+++ b/strings/A0E22050B8
@@ -0,0 +1,3 @@
+LDY #$E2 + JSR $B850
+
+Partial load of input + call to known floating point function
diff --git a/strings/A9E0A0E220 b/strings/A9E0A0E220
new file mode 100644
index 00000000..c53b5c2c
--- /dev/null
+++ b/strings/A9E0A0E220
@@ -0,0 +1,3 @@
+LDA #$E0 + LDY #$E2 + JSR fragment
+
+Load address of known constant and call some function
diff --git a/strings/B9200FBB b/strings/B9200FBB
new file mode 100644
index 00000000..9b0a1caa
--- /dev/null
+++ b/strings/B9200FBB
@@ -0,0 +1,3 @@
+$B9 + JSR $BB0F
+
+Fragment + call to well known floating point function
diff --git a/strings/BCA0B920 b/strings/BCA0B920
new file mode 100644
index 00000000..d951ea5b
--- /dev/null
+++ b/strings/BCA0B920
@@ -0,0 +1,3 @@
+$BC + LDY #$B9 + JMP
+
+Fragments
diff --git a/strings/DAA2A56648 b/strings/DAA2A56648
new file mode 100644
index 00000000..bc36bdde
--- /dev/null
+++ b/strings/DAA2A56648
@@ -0,0 +1,3 @@
+$DA + $A2 + LDA $66 + PHA
+
+Fragment + push FAC1 sign on stack