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math/complex: cexp test correction and ldexp usage fix

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This commit is contained in:
Marc Tiehuis 2018-09-13 20:33:05 +12:00
parent afe6316d32
commit e70c543bc4
3 changed files with 8 additions and 9 deletions
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4
std/math/complex/cosh.zig
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@ -44,7 +44,7 @@ fn cosh32(z: *const Complex(f32)) Complex(f32) {
else if (ix < 0x4340b1e7) {
const v = Complex(f32).new(math.fabs(x), y);
const r = ldexp_cexp(v, -1);
return Complex(f32).new(x, y * math.copysign(f32, 1, x));
return Complex(f32).new(r.re, r.im * math.copysign(f32, 1, x));
}
// x >= 192.7: result always overflows
else {
@ -112,7 +112,7 @@ fn cosh64(z: *const Complex(f64)) Complex(f64) {
else if (ix < 0x4096bbaa) {
const v = Complex(f64).new(math.fabs(x), y);
const r = ldexp_cexp(v, -1);
return Complex(f64).new(x, y * math.copysign(f64, 1, x));
return Complex(f64).new(r.re, r.im * math.copysign(f64, 1, x));
}
// x >= 1455: result always overflows
else {

9
std/math/complex/exp.zig
View File

@ -69,7 +69,7 @@ fn exp64(z: Complex(f64)) Complex(f64) {
const y = z.im;
const fy = @bitCast(u64, y);
const hy = u32(fy >> 32) & 0x7fffffff;
const hy = @intCast(u32, (fy >> 32) & 0x7fffffff);
const ly = @truncate(u32, fy);
// cexp(x + i0) = exp(x) + i0
@ -78,7 +78,7 @@ fn exp64(z: Complex(f64)) Complex(f64) {
}
const fx = @bitCast(u64, x);
const hx = u32(fx >> 32);
const hx = @intCast(u32, fx >> 32);
const lx = @truncate(u32, fx);
// cexp(0 + iy) = cos(y) + isin(y)
@ -101,8 +101,7 @@ fn exp64(z: Complex(f64)) Complex(f64) {
// 709.7 <= x <= 1454.3 so must scale
if (hx >= exp_overflow and hx <= cexp_overflow) {
const r = ldexp_cexp(z, 0);
return r.*;
return ldexp_cexp(z, 0);
} // - x < exp_overflow => exp(x) won't overflow (common)
// - x > cexp_overflow, so exp(x) * s overflows for s > 0
// - x = +-inf
@ -124,7 +123,7 @@ test "complex.cexp32" {
}
test "complex.cexp64" {
const a = Complex(f32).new(5, 3);
const a = Complex(f64).new(5, 3);
const c = exp(a);
debug.assert(math.approxEq(f64, c.re, -146.927917, epsilon));

4
std/math/complex/sinh.zig
View File

@ -44,7 +44,7 @@ fn sinh32(z: Complex(f32)) Complex(f32) {
else if (ix < 0x4340b1e7) {
const v = Complex(f32).new(math.fabs(x), y);
const r = ldexp_cexp(v, -1);
return Complex(f32).new(x * math.copysign(f32, 1, x), y);
return Complex(f32).new(r.re * math.copysign(f32, 1, x), r.im);
}
// x >= 192.7: result always overflows
else {
@ -111,7 +111,7 @@ fn sinh64(z: Complex(f64)) Complex(f64) {
else if (ix < 0x4096bbaa) {
const v = Complex(f64).new(math.fabs(x), y);
const r = ldexp_cexp(v, -1);
return Complex(f64).new(x * math.copysign(f64, 1, x), y);
return Complex(f64).new(r.re * math.copysign(f64, 1, x), r.im);
}
// x >= 1455: result always overflows
else {