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Diffstat (limited to 'pl/math/tools/sinpi.sollya')
-rw-r--r-- | pl/math/tools/sinpi.sollya | 33 |
1 files changed, 0 insertions, 33 deletions
diff --git a/pl/math/tools/sinpi.sollya b/pl/math/tools/sinpi.sollya deleted file mode 100644 index 62cc87e7697d..000000000000 --- a/pl/math/tools/sinpi.sollya +++ /dev/null @@ -1,33 +0,0 @@ -// polynomial for approximating sinpi(x) -// -// Copyright (c) 2023, Arm Limited. -// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - -deg = 19; // polynomial degree -a = -1/2; // interval -b = 1/2; - -// find even polynomial with minimal abs error compared to sinpi(x) - -// f = sin(pi* x); -f = pi*x; -c = 1; -for i from 1 to 80 do { c = 2*i*(2*i + 1)*c; f = f + (-1)^i*(pi*x)^(2*i+1)/c; }; - -// return p that minimizes |f(x) - poly(x) - x^d*p(x)| -approx = proc(poly,d) { - return remez(f(x)-poly(x), deg-d, [a;b], x^d, 1e-10); -}; - -// first coeff is predefine, iteratively find optimal double prec coeffs -poly = pi*x; -for i from 0 to (deg-1)/2 do { - p = roundcoefficients(approx(poly,2*i+1), [|D ...|]); - poly = poly + x^(2*i+1)*coeff(p,0); -}; - -display = hexadecimal; -print("abs error:", accurateinfnorm(sin(pi*x)-poly(x), [a;b], 30)); -print("in [",a,b,"]"); -print("coeffs:"); -for i from 0 to deg do coeff(poly,i); |