fix bounds + update libs
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828ebb23c0
commit
bc58da6d49
5 changed files with 59 additions and 50 deletions
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@ -13,3 +13,5 @@ _slow_blink := CSI + "5m"
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_rapid_blink := CSI + "6m"
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_strike := CSI + "9m"
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_primary_font := CSI + "10m"
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fn red(s: string) -> string {}
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@ -1,5 +1,5 @@
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func map(list: list[any], f: func(any)any) list[any] {
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fn map(list: [any], f: fn(any) -> any) -> [any] {
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out := []
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i := 0
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81
lib/math.ang
81
lib/math.ang
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@ -7,7 +7,7 @@ E := 2.718281828459045235360287471352
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# Get the absolute value of a number. If x is negative, the returned
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# value is positive and equal to `-x`. If x is positive or zero, the
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# returned value is x.
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func abs(x: number) number {
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fn absf(x: float) -> float {
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# if the number is negative
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if x < 0 {
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# negate it so it's positive
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@ -17,15 +17,23 @@ func abs(x: number) number {
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return x
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}
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fn absi(n: int) -> int {
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if n < 0 {
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-n
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} else {
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n
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}
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}
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DERIVE_DX := 0.00000001
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func derive(f: func(number)number, x: number) number {
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fn derive(f: fn(float) -> float, x: float) float {
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return (f(x + DERIVE_DX) - f(x))/DERIVE_DX
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}
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NEWTONS_ACC := 0.000000000001
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func newtons(f: func(number)number) number {
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pg := 0
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g := 1
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fn newtons(f: fn(float) -> float) -> float {
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pg := 0.0
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g := 1.0
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while abs(g - pg) > NEWTONS_ACC {
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pg = g
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@ -41,9 +49,9 @@ MAX_SQRT_DX := 0.0000001
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# x: number
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# Calculate the approximate square root using newton's method until
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# the accuracy has increased by less than the variable `MAX_SQRT_DX`.
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func sqrt(x: number) number {
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fn sqrt(x: float) -> float {
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ng := x
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g := 1
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g := 1.0
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while abs(g - ng) > MAX_SQRT_DX {
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g = ng
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@ -51,8 +59,6 @@ func sqrt(x: number) number {
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# create new guess
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ng = (g + x / g) / 2
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}
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return g
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}
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# floor(x)
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@ -72,7 +78,7 @@ func sqrt(x: number) number {
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# round(x)
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# x: number
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# Return the closest whole number to the value x.
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func round(x: number) number {
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fn round(x: float) -> float {
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f := floor(x)
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if x - f > 0.5 {
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@ -86,7 +92,7 @@ func round(x: number) number {
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# x: number; any number
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# n: number; the number to divide by
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# Return the rest from a division of x by n.
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func mod(x: number, n: number) number {
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fn mod(x: float, n: float) -> float {
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if x == 0 {
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return 0
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}
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@ -110,17 +116,18 @@ func mod(x: number, n: number) number {
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# This value is only reasonable if 0<x<1.
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# It is approximated using the taylor series of e**x.
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SM_EXP_ACC := 0.00000000001
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func sm_exp(x: number) number {
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p_tot := 0
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tot := 1
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fn sm_exp(x: float) -> float {
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p_tot := 0.0
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tot := 1.0
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n := 1
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x_pow := x
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f := 1
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f := 1.0
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while abs(tot - p_tot) > SM_EXP_ACC {
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p_tot = tot
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t := x_pow / f
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tot = tot + t
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f = f * (n+1)
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f = f * float(n+1)
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x_pow = x_pow * x
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n = n + 1
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}
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@ -131,22 +138,22 @@ func sm_exp(x: number) number {
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# exp(x)
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# x: number; any number
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# Get an approximate value of e raised to the power of x.
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func exp(x: number) number {
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fn exp(x: float) -> float {
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n := abs(x)
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tot := 1
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tot := 1.0
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while n >= 1 {
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tot = tot * E
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n = n - 1
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}
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if n > 0 {
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if n > 0.0 {
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tot = tot * sm_exp(n)
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}
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if x < 0 {
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return 1/tot
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1.0/tot
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} else {
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return tot
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tot
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}
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}
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@ -155,9 +162,9 @@ func exp(x: number) number {
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# Get the approximate value of the natural logarithm
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# This function uses newton's method to approximate.
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LN_ACC := 0.0000000001
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func ln(x: number) number {
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pg := 0
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g := 1
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fn ln(x: float) -> float {
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pg := 0.0
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g := 1.0
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while abs(pg - g) > LN_ACC {
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pg = g
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@ -171,7 +178,7 @@ func ln(x: number) number {
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# x: number; any number. The base
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# p: number; the value of the exponent
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# Raise any number to any power (x^p)
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func pow(x: number, p: number) number {
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fn pow(x: float, p: float) -> float {
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return exp(p*ln(x))
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}
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@ -181,15 +188,15 @@ func pow(x: number, p: number) number {
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# Calculate the approximate value of the logarithm
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# of a with b as base.
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LOG_ACC := 0.0000001
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func log(a: number, b: number) number {
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fn log(a: float, b: float) -> float {
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ln_b := ln(b)
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pg := 0
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g := 1
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pg := 0.0
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g := 1.0
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while abs(g - pg) > LOG_ACC {
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pg = g
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g = pg - 1/ln_b - a/(ln_b*pow(b, pg))
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g = pg - 1.0/ln_b - a/(ln_b*pow(b, pg))
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}
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return g
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@ -199,9 +206,9 @@ func log(a: number, b: number) number {
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# x: number; an angle in radians
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# Get the sine of an angle (in radians). https://en.wikipedia.org/wiki/Sine_and_cosine
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# TODO: use hashmap with precomputed values and linear interpolation
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func sin(x: number) number {
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f := 1
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x = mod(x, 2*PI)
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fn sin(x: float) -> float {
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f := 1.0
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x = mod(x, 2.0*PI)
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if x > PI {
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x = PI - x
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f = -1
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@ -209,13 +216,13 @@ func sin(x: number) number {
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# compute sine with a taylor series mock function of sine (valid between -pi and +pi)
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tot := x
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l := 1
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i := 1
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s := -1
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l := 1.0
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i := 1.0
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s := -1.0
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while i <= 19 {
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i = i + 2
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l = s * l * x / i / (i-1)
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i = i + 2.0
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l = s * l * x / i / (i-1.0)
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tot = tot + l
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